diff --git "a/data/dm_maths/full_data_1/11044_11255.jsonl" "b/data/dm_maths/full_data_1/11044_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11044_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 3, what is 21101220 - -220021201?\nAnswer: 1011200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1385226.57109 - -1385214. Let s = v - -12.511. Let t = s + 0.06. What is t rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1747527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*r = 481*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/7, -2, 2, -1\/12 in descending order.\nAnswer: 2, -1\/12, -2, -15\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 14*f - 55. Give j(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 n when two letters picked without replacement from thhntttbttthhhtt?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*q + 36 = -a, a = -q + 9. Calculate the greatest common factor of a and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -16.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 + p + 3. Let b(g) = g**2 - g - 2. Suppose -3*i - 2*i - 16 = 3*r, 4*i = -2*r - 12. Calculate r*h(t) - 3*b(t).\nAnswer: t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 50438160 divided by 2654640\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i - 3*q + 3, 0 = -5*i - q + 19. What is the common denominator of 190\/(-24) - (-1)\/i and 101\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -10*u + 74. Determine h(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h = -34*h + 25*h - 432 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 11*y + 36. Let a(u) = 9 - 1 - 1 + 2*u. Let g be -2 - -3*-4*3\/(-9). Let n(v) = g*d(v) - 11*a(v). Find the first derivative of n(m) wrt m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 8) + -11 - (-13 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c = -24*c + 1561. Let b = -13439 - c. What is b rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6190293 + 0.2.\nAnswer: 6190293.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 5. Suppose 2*m - 2 - 2 = 0. Let t = 2 - m. Is l(t) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2252*76\nAnswer: -171152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/108 and -3\/60844.\nAnswer: 1642788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.6, 931, -0.5, 0.3?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7833)\/6714)\/(2\/(-12))*(-1)\/1*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6944 and 114142?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.2 - -14. Let p(n) = 14*n - 9. Let o be p(2). Suppose w + o = -5*k + 5*w, -2*w - 4 = 2*k. What is the third biggest value in -5, -8, k, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Suppose p = g + 4*g - 15. Solve -g*i = -5*i + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 4 (c) -2263\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 45*o + 1862. Let u be m(-41). Calculate the greatest common divisor of u and 229.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 2818 = -2974. Let f(w) be the third derivative of w**6\/120 + 13*w**5\/60 + w**4\/24 + 5*w**3\/3 + w**2. Let s be f(d). Which is smaller: -13\/4 or s?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6230653.38ns in weeks?\nAnswer: 0.00000001030200625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2885346289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -17045.51308 to the nearest one hundred.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -124*x + 11. Is j(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -21 - (0 + 2 + (-22 - -44)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 80\/2 - -4. Suppose i = -0*p - 13*p. Let q be p\/((-24)\/38) - (-2)\/8. Calculate the greatest common divisor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -147 - -97. Is 13 a factor of (-980)\/v - (-4)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -3*u**3 + 9*u**2\/2 - 3*u + 2. Let h(p) = 5*p**2 - 5*p + 2. Let r be 9 - 4 - 2 - -2. What is r*h(x) + 3*j(x)?\nAnswer: -2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o - 19. Calculate the remainder when a(14) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.031 + 0.531. Sort -1\/3, 1, y.\nAnswer: -1\/3, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 339, 939, 1947, 3363, 5187?\n\"Answer: 204*m**2 - 12*m + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 227 - 115 - 112 - 28*d**3 + (-2*d + 1 - 1)*(3*d**2 - d**2 - 3*d**2) - 4*d**3 - 5 + 5.\nAnswer: -30*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (82\/10 + -9)\/(2\/(-1565)). Suppose -2*l + 4*h - 894 = 358, -l - 2*h = j. Which is greater: l or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/7 and 122 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-30))\/((-13)\/(39\/2)). Let k(u) = -2*u**3 - 87*u**2 + 43*u - 44. Let q be k(-44). Which is the nearest to q? (a) -3 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -415584432 by -3.\nAnswer: 138528144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 9. Let w = 1583 - 1587. Give q(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-4) - 1127\/(-28). Suppose l = 3*o + i, -2*o - 3*i = 3*o - 75. What is the second derivative of 12 + 5*q**2 + 2*q - o wrt q?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399*s**2 + 26*s**2 - 413*s**2.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 8*r - 1. Let d be n(7). Let i be 12\/20 + d\/(-10). Suppose i = -9*m + 4*m. Which is smaller: 7\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53*r**5 + r**3*u - 102*r**2*u + 3*r**2 wrt r?\nAnswer: -3180*r**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8e (base 16) to base 15\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 2*c + 66, -5*g + 159 = -4*c. Solve -g = 29*w + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7*(-4)\/28*(1 - -1). Let q = 8 - 14. Let v(p) = p**3 + 6*p**2 - 3*p - 6. Let y be v(q). Solve n*c - 5 = -b, -5*b + c + y = -2*c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 4*t - 3*u = -39, 2*u = -2*t + 42. Let c(m) = 5 - t*m**2 - 29*m**2 + 54*m**2 - 5*m. Give c(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49864 and 5336?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3206)\/(-916))\/((-231)\/4)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -638056 divided by 638056?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1034 = 3*q - 7199. Let w = -974 + q. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9*t**2 - 5*t - 219. Let c be h(-13). Suppose -7*q = -c - 75. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 2)*(-4 - -5)*-2. Solve -a = y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + (sqrt(405) - (sqrt(405) - (sqrt(405) + sqrt(405)*2))) + sqrt(405) + -1 + -2))**2.\nAnswer: -1728*sqrt(5) + 26064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 11243035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22168020 by -6738.\nAnswer: 3290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 13. Is n smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 69*d**3 + 55*d**2 + 5*d + 3*d + 158*d**3 - 6*d.\nAnswer: 227*d**3 + 55*d**2 + 2*d + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*i - 232440 = 0, 8*i - 4*i - 93006 = -2*y. Let r(k) = -67247*k + 1. Let g be r(2). Let z = y + g. Round z to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -415 + 451. Suppose -3*t = -3, 33*v + 118 = u*v - 2*t. What is the highest common divisor of v and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + 8. Suppose -4*z + 5*i + 23 = 0, -z + i - g = -5*z. Suppose -3*r = -z*r. Solve r*n = n - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in -3, -2\/13, 3\/4, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 15*d**2 - 19*d**2 + 7*d - d**3 - 6 + 0*d**3. Determine c(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14749642 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**10\/105840 - m**8\/7840 - m**7\/4410 - m**4\/6 + 9*m. Let j(y) be the third derivative of k(y). Find d, given that j(d) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98.81 - 98. Let s = i + -1.75. Let a = 0.06 - s. Which is smaller: a or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(sqrt(847)*-2)**2.\nAnswer: 16938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a + 15. Let l(f) = -f + 7. Let r(y) = -7*l(y) + 4*w(y). Let u be r(9). Let j(p) = 4*p - 3*p - 2*p + u*p. Calculate j(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 4:25 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/6)\/((-1700)\/(-85))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 22. Sort -1, 5, s in descending order.\nAnswer: 5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 35*p + 23. Determine i(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -343137 divided by -31.\nAnswer: 343137\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1828*16007.\nAnswer: 29260796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132.58 - -131. Let v = l - -0.58. Which is the second smallest value? (a) 2 (b) 3\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 4*s + 4. Let o be f(-4). Let h be ((-46)\/(-2))\/1 + 1. Suppose z - o*b = h, z - 5*b - 17 = 3*z. Which is smaller: 3 or z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 210 = -126. Suppose r = -2*z + 4*z. Suppose 10*y = 8*y + z. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**7)**3*(h\/h**(9\/5))\/h**(-2\/11) assuming h is positive.\nAnswer: h**(-1024\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -30 - 15. Suppose -5*r + 10*r = n. What is the closest to 0 in r, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 28, -48, 5.6, -2, -0.1?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - 2 + 2 + (-3 + 3 - 7*u)*(-4*u - 280 + 280).\nAnswer: 29*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -1 - 11. Is ((-22)\/f + -3)*15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 24589236703\nAnswer: -24589236702.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -289*l**2 - 47*l - 8. Let w be h(7). Let u = 362387\/25 + w. What is the common denominator of u and -53\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-36)\/(-42))\/(2\/(-56)). What is the least common multiple of 7 and (-2 - g\/10) + (-115)\/(-25)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 4*m - 1. Suppose 3*f = o + 2*o - 3, 9 = -f - 3*o. Let z be j(f). Factor 2\/3*d**z - 8\/3*d + 8\/3.\nAnswer: 2*(d - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2767?\nAnswer: 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 2*q**2 - 5*q + 5*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-8 + -2) - (0 + 2 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*l**2 - 2*i**2 + i*l + l**2 - 3 wrt i.\nAnswer: 4*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 139 + -148. Let n(u) = u**3 + 9*u**2 + 2*u + 12. Calculate n(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18991 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(153) + 0 - (-3 + 0 + sqrt(17))) + (2*1*sqrt(187))\/sqrt(11))**2*-1.\nAnswer: -281 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Let s be o(4). Suppose 1 = -4*k + 9. Suppose 4*x - s*j - 4 - 4 = 0, x = -k*j + 2. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 24 + 14 = 0. Let l = m - -33. Suppose -176 = -4*d + l. What are the prime factors of d?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3288979?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1779*b**2 - 1784*b**2 + 37*b**3 + 3563*b**2 - 8*b**4 + 1 as n + v*b + q*b**2 + y*b**4 + k*b**3 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.6200703g?\nAnswer: 0.0000006200703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 - 546455931?\nAnswer: -546455929.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220336 divided by 15419?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10953747?\nAnswer: 3, 7, 19, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 665, 2592, 5799, 10286, 16053?\nAnswer: 23100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150418.\nAnswer: 2, 75209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113030, -226057, -339082, -452105, -565126?\nAnswer: -678145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 3*v - 4. Let w be 2145\/455 + 4\/14. Let y(h) be the second derivative of h**4\/6 + 7*h**3\/6 + 9*h**2\/2 - 20*h. Determine w*r(n) + 2*y(n).\nAnswer: -n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-8)*-1)\/(14\/84)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -17 + (6 - 1) - -17.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 6*m - 4*m = -5, 16 = q - 5*m. What is the remainder when 3 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228807451?\nAnswer: 228807451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -23043, -1, 1, 3\/7 in increasing order.\nAnswer: -23043, -6, -5, -1, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 t when four letters picked without replacement from {t: 4, h: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-1440)\/465)\/(-24))\/38. Let d = -1 + 1.2. Put d, z, -3 in decreasing order.\nAnswer: d, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 42668?\nAnswer: 42671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39329301*q**5*w + 3*q**2*w + 456834*q**2 - q*w + 3*q - 2 wrt q.\nAnswer: 2359758060*q**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(3\/2))\/g)\/((g*g**(2\/5)*g)\/g))\/(g\/(g**(3\/7)*g))**(-2\/13) assuming g is positive.\nAnswer: g**(-2699\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*q - 73*q + 485*q + 2940 = 0. Let g(s) = -s**3 - s**2 + s. Let b(j) = 9*j**3 - 5*j**2 + 5*j - 2. Determine q*g(m) + b(m).\nAnswer: 14*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*n + 2*t, -t + 29 = 4*n - 0*t. Suppose 2*f - 275 = -o + n*o, -3*f - 91 = 2*o. Let r = o - -120. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 5889 = 327. Is -890 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from mmbbbsmb.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 0*g**3 + 0 + 0*g**2 + 1\/4*g**4 - 5*g - 1\/10*g**5. What is the third derivative of a(r) wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 506153 or 506149?\nAnswer: 506149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -277\/3, -1\/11, -0.1 in ascending order.\nAnswer: -277\/3, -0.1, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3 = 21. Let h(x) = -x**3 - 5*x**2 + x + 7. What is the smallest common multiple of h(-5) and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 3*f**2 - 3*f - 1. Let y be u(-2). Let n = y + 6. Suppose 5*s + 3*p - 13 = 0, 0 = -7*s + 2*s + 3*p + n. Do s and 2 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, 8, -49 in ascending order.\nAnswer: -49, -6, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18224 - -18261. What is the remainder when 1146 is divided by u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-413)\/42 + 2\/(-12). Round l to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 3*o - 844. Suppose -3*a + 0*q + q + o = 0, 0 = -5*a + 3*q + 357. Calculate the remainder when a is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905050 a multiple of 575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (287\/(-14) - -19)*12\/(-90)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.2, -4, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 10276721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**5\/2 + 3441*i**4\/2 + 651591*i**3\/2 + 26580795*i**2\/2 - 90109272*i + 76491360 = 0.\nAnswer: -88, 1, 5, 1317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.612 and -40083827698.\nAnswer: -40083827698.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - -15?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201120200222 (base 3) to base 6.\nAnswer: 12132212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2345896711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/11 and 1\/956780.\nAnswer: 956780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**4\/4 - 3*w**2. Let b(l) = l. Determine b(d(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -1)*(-94)\/(-282).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.8 (b) -1\/38 (c) -3 (d) -0.3 (e) -1 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**2 - 122*k + 74. Calculate the remainder when 289 is divided by v(-41).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653000 rounded to the nearest ten thousand?\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 1. Let l(a) = -a. Let i(n) = 7*l(n) + 6*u(n). Let z(q) = -q**2 - 5*q + 1. Let y be z(-3). Let s be i(y). Put -2, s, -5 in decreasing order.\nAnswer: s, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -93?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 310 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950874.\nAnswer: 2, 3, 19, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -7*o + 3*o + 2*i, 0 = 3*o + 2*i - 19. Put o, 2, 114 in descending order.\nAnswer: 114, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 0.03340975.\nAnswer: 0.000668195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*s**3 + 1831 - 934 - 897 + 888*s**3.\nAnswer: 1080*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17, 28, 131, 292, 511?\n\"Answer: 29*c**2 - 42*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 579, 581, 583, 585?\n\"Answer: 2*o + 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 0.24 (c) 2\/9 (d) 0.1 (e) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-2) + 2\/(-5) + (-7848)\/(-545)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1371 and 3?\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__lcm_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: Calculate the smallest common multiple of 2030118 and 368.\nAnswer: 16240944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36262182.8974 - 36255258. Let q = b + -6926. Let n = q - -1.07. Round n to three dps.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t**2 - 30480*t + 30480*t - 69 to j*t + b*t**2 + g and give g.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 - 251*k**2 - 2096*k - 12530. What is y(-117)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 + 415 = 3*s. Which is smaller: 2\/3 or s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axr when three letters picked without replacement from {r: 1, n: 9, a: 7, x: 1}.\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 34*u**3 + 2*u**2 - 30*u - 34. Let l be c(-1). What is the closest to 1 in l, 0.4, -1\/2, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(608)*-1*-2 + sqrt(608))\/(sqrt(4)\/(sqrt(6)\/sqrt(3)) + (sqrt(2) + sqrt(8) + sqrt(2))*-2).\nAnswer: -12*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + (6 - (4 + -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i = 76. What is the remainder when 112 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1582 or 0?\nAnswer: 1\/1582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*c + 232, 2*q - 131 = -20*c + 19*c. Let b = q + -58. Solve 0 = -b*u + 5 - 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18, -38, -92, -198, -374, -638, -1008?\n\"Answer: -3*r**3 + r**2 - 2*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 758\/6075 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.52 + -0.235. Let z = l + 0.015. Let f = 113\/87 + 1\/29. Which is the nearest to 2\/5? (a) z (b) f (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 112178017 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2961*i**2 + 849*i**2 + 2939 + 2925 - 5868 to c*i**2 + w + m*i and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irii when four letters picked without replacement from {i: 4, r: 8, a: 5, f: 2}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17282*c - 17248*c - 272 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 6*y - 2. Let j(q) = -q**3 - 2*q**2 + 6*q - 3. What is 2*j(b) - 3*t(b)?\nAnswer: -2*b**3 - b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8\/25 of a millennium?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 630 - -2.3792\nAnswer: 632.3792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 1717196.\nAnswer: 56667468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(176) - (0 + sqrt(176) + sqrt(176)*-1 + sqrt(176))) + sqrt(176) + (sqrt(495)\/(2*sqrt(9)))\/sqrt(5)))**2.\nAnswer: 22275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1963 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-608)\/(-144)*-1 - 2\/(-9)) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -13*j**4\/4 + 2*j**3 - 3*j**2 - 4*j + 2786. Let m(g) = -12*g**3 + 5*g**2 - 5*g - 3. Determine 6*m(a) - 5*n(a).\nAnswer: -7*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17405951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 + 29 + 45 + 202*y**3 + 25.\nAnswer: 202*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31742965?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 10*l - 2*a, 50*l - 11 = 53*l - 10*a + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(45) - sqrt(135)\/(sqrt(3)*-1)) + 3 + (1 + sqrt(5) + -2 - sqrt(5)) + 3*(-1 + sqrt(5)))*2)**2.\nAnswer: -312*sqrt(5) + 30424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (24 - 22) + (-4 + 4 + 2 - 32)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15290 and 1946.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from fzgqqjz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/7 + 85216*w\/7 - 453860416\/7.\nAnswer: -4*(w - 10652)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = j + 22. Let q be 2\/(-6)*j\/(7 - 1). What is the third smallest value in 1, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c - 11. Let u be x(21). Let i = u + 39. Is i a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.07 - 0.07. What is the third biggest value in 3, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-27))\/(6\/36))\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, z: 7, f: 1, l: 2, w: 5, n: 2}. Give prob of picking 2 w.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -452 divided by 2?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 2:01 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(24))\/sqrt(12).\nAnswer: -4 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1620)*1*4)**2 + (((sqrt(360)*1 + sqrt(360))*1)\/((sqrt(8) - (sqrt(8) + 1*sqrt(968))) + sqrt(8)))**2.\nAnswer: -720*sqrt(5) + 129734\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)\/(n**(-19)\/n))**(-21) assuming n is positive.\nAnswer: n**(-294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h + 32. Let j be n(10). Let w be (-2)\/(4\/j*(-8)\/(-10)). What is the highest common divisor of 10 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 2 - (-4 - (0 - 5))) + -102 + 7?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1252)\/20 - (-3)\/5. Calculate the remainder when 17 is divided by j\/(-7) - 7\/(-49).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 7*d**2 + 9*d - 1. Suppose 3*b + 4*w - 14 = 24, -b + 16 = 2*w. Is j(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(4200\/(-2075) + 1 + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4403932\/33 + 1153823797\/8646. Let k = 3\/262 + t. Find the common denominator of k and (-60)\/14*(-12)\/8.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24475 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*3\/(-36)*78. Let b = j + -24. List the prime factors of (24 - 23) + -62*b\/(-2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 21*n = -6. Let j(o) be the third derivative of -o**4\/12 + 7*o**3\/6 + o**2. Is j(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 307.4 - 307.4. What is the second smallest value in s, 4, -79\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3901 divided by -47?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 248 = -4*b, -112 = -2*b + h + 18. Does 64 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 0 + 1\/5*h**2 - 1\/30*h**4 - 1\/30*h**3 + 8*h + 1\/100*h**5. Solve f(w) = 0 for w.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -898, -1 in increasing order.\nAnswer: -898, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -42340?\nAnswer: 42332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**2\/9 + 2500*i\/3 - 2130076\/9 = 0?\nAnswer: -7774, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-20)\/(g**(-3\/7)*(g*g**5\/g)\/g) assuming g is positive.\nAnswer: g**(115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvvimzivvimvvzimj. What is prob of sequence vz?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 4:15 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-14978386\nAnswer: -14978385.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 231*t + 4 - 4 + 575*t + 12*t to p + g*t and give g.\nAnswer: 818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -2*f + 27, 7*f = 5*f - 0 + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*w - 38, 0*w - 82 = 5*q - 2*w. Let o(x) = x**3 + 17*x**2 - 20*x - 32. Give o(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 0 - 32. Let r = 34 + i. Sort 0.1, r, -10\/7.\nAnswer: -10\/7, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158219853*y**2 - 417*y**3 + 158219853*y**2.\nAnswer: -417*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125542 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 7:27 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7683 = r - d, -4*r = -9*d + 12*d - 30753. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**3 - 14029*d - 12515 wrt d?\nAnswer: 6*d**2 - 14029","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -51, -81, -113, -147, -183, -221?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -5534\nAnswer: -553.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddo when three letters picked without replacement from {o: 9, f: 2, a: 3, r: 1, d: 4}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9678, 10360, 11042?\nAnswer: 11724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v + 497511 = -289672. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gybccygjjcgcyccccjy. What is prob of sequence cj?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 129636 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*x - 37*x - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 i, and 2 a when four letters picked without replacement from aaqqaavavaiaaqaaqv?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1316, -5343, -12162, -21863, -34536, -50271?\nAnswer: -69158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -129, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258 and 645.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 229 (b) -2\/21 (c) -318 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) + sqrt(14)\/sqrt(2) + sqrt(7) + -3))**2 + -2 + sqrt(7) + -2.\nAnswer: -11*sqrt(7) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**2 - 5710*g - 17175 = 0 for g.\nAnswer: -3, 1145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -26. Let q = s - -32. Let u be ((-70)\/(-40))\/((-1)\/(-8)). What is the highest common factor of q and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1516\/14 - (1 + 20\/(-28)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29137 - -29140. Sort 5, 0, -8, c, -12 in decreasing order.\nAnswer: 5, c, 0, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 2*q. Let 1 - 8*c**3 + 7*c**3 + 2*c**3 + 5 + 8*c**q + 13*c = 0. Calculate c.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*d - 1845 = -413*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + 57 - 24 - -24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -z + 6 + 3, -2*z - 5*p + 9 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is a74 (base 14) in base 11?\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4b (base 15) to base 14\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231969*a**3 + 4170*a**2 + 231972*a**3 + 621122*a + 947073*a - 119120*a = 0.\nAnswer: -695, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120083 and 4313?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 55*v + 6 - 5.\nAnswer: -55*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u**(-2)*u*u))*u**(2\/9))\/(u**(3\/7)\/((u\/(u**6*u))\/u*u*u)) assuming u is positive.\nAnswer: u**(-328\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**4 - 19*t**3 + 39*t**2 - 35*t + 13. Let j(m) = -6*m**4 + 58*m**3 - 118*m**2 + 106*m - 40. Let p(y) = 10*f(y) + 3*j(y). Solve p(k) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -166*26\/(-4) + (-3 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 9) to base 10\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28, 106, 228, 394, 604, 858?\n\"Answer: 22*p**2 + 12*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 2:29 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-100))\/((-9)\/3 - -6). Is l at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -35*j - 2452. Let s be a(-70). Let w(i) = 3*i**2 - 2*i + 11. Let z(g) = -7*g**2 + 5*g - 21. Determine s*z(r) - 5*w(r).\nAnswer: -r**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16571.877 rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 12. Let g be f(-6). Suppose 4*d + 0*d - 236 = g. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 5. Suppose -79 = -n*z - b, 2*z + b = -0*b + 41. Does 19 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46302 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: Suppose 2*b - 3*b - 5*h - 11 = 0, 0 = 2*b + 2*h - 10. Suppose 0 = -b*g - 4 - 419. Let k = 101 + g. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -1. Let p(w) = w**3 - 3*w**2 - w + 4. Suppose -7 = -4*r + 9. Let d = 9 - r. Let o(n) = n**3 - 5*n**2 - 2*n + 7. Give d*p(k) + s*o(k).\nAnswer: 2*k**3 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079 times 1901.141?\nAnswer: -150.190139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*s + 73*s - 116 = -68*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41 - -1040104035?\nAnswer: 1040103664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -9) + 14 - (17 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(48)\/sqrt(4)*2 + sqrt(12))\/sqrt(6) - (-4 + 1*sqrt(18) + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 59 = -5*n, 3*v + 0 = -n - 15. Let d(b) = -b**2 - 30*b + 7. Is d(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*d - 2*d + 8 = 0, 0 = 4*i + 4*d - 4. Calculate the common denominator of 1\/(18\/(-429)) + i and -59\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggghgghgmghbhgggh. Give prob of sequence gbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3641 (b) 1\/5 (c) -2 (d) 1\/2 (e) -5 (f) 13 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -20?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15596 (base 13) to base 9\nAnswer: -61515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = k + k - 5*x, k + 2*x = -1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-2)*7*5\/490.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1461 + 1465. Let x = -41 + 59. Let m be 1\/x*(6 + -2). Which is the nearest to m? (a) p (b) 2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507 + 70 = -89*z - 936 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*r**3 + r**3 + 2*r**3)*(0*r**2 + 2*r**2 - r**2) + 2*r + 3*r**5 - 2*r - 26*r**5 + 44*r**5 - 2*r**4 - 5*r**5)*(-2 + 2 - 1)*(-4 + 1 + 0).\nAnswer: 42*r**5 - 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61084 - -61087. Factor -1\/2*n**2 + 0*n + 2\/3 - 1\/6*n**o.\nAnswer: -(n - 1)*(n + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 527.1793 hours to microseconds.\nAnswer: 1897845480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.104 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + (sqrt(891) + 6*1*sqrt(891) - sqrt(891)) - (4 + 0 + sqrt(891) + sqrt(891) + (sqrt(891) + sqrt(891)*-1 - sqrt(891)) + -3))*-4)**2.\nAnswer: 23040*sqrt(11) + 5702656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(11)*2))**2 - ((sqrt(121) + (sqrt(121)*1 + sqrt(121) - sqrt(121)) - sqrt(121) - sqrt(121))\/sqrt(11) + -2).\nAnswer: -144*sqrt(11) + 1622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*a**2 - a**2 + 7*a**2 + (2*a + a - a + 0*a + 0*a - 2*a + (2*a - 2*a - 2*a)*(5 + 1 - 4) - 3*a + 7*a - 2*a + 0*a - 2*a + 0*a)*(-a + 5*a - 2*a).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -81? (a) 3 (b) -0.4 (c) -154 (d) -3 (e) 22 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lal when three letters picked without replacement from {y: 1, r: 1, a: 3, l: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 731.0279mg to kilograms.\nAnswer: 0.0007310279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 675524 to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*n - 4*n. Let o(c) = -c + 1. Let j be o(0). Suppose 4*k - 9 = 2*a + j, -k = 3*a + 15. What is the smallest value in a, 0.2, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 11 = 3*x, 0*x = -5*x + n + 13. Find the third derivative of -5*s**5 - s**2 + 6*s**2 - x*s**2 + 2*s**5 wrt s.\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 265 + -269. Put d, -3, -14 in decreasing order.\nAnswer: -3, d, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38432 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -53504, -53490, -53468, -53438, -53400, -53354?\n\"Answer: 4*c**2 + 2*c - 53510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l + 10. Suppose 359985 = -0*h + 3*h + 3*m, m = -l. What is h rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 = 2*p, 13 = 2*g + 2*p + 5. Suppose k + 2*q = 200, 839 = g*k - 11*q + 6*q. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/(-21) + (-4)\/60*5. Factor 2\/7*k**2 + 0*k + b*k**4 - 4\/7*k**3 + 0.\nAnswer: 2*k**2*(k - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2272 - 15902\/7. Which is the fourth smallest value? (a) 5 (b) -0.03 (c) v (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/230 and 43\/70.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 22143*i**2. Let w(m) = -3352*m. Determine w(y(d)).\nAnswer: -74223336*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f**5 + 598*f**4 - 62392*f**3\/9 - 587542*f**2\/9 - 52880*f + 4864 = 0. What is f?\nAnswer: -16\/3, -1, 1\/12, 24, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -19*y + 10. Let o be s(4). Let j = o - 35. Let h = j - 1469. What is h rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-6)*(-36)\/(-8). Let j = y - -15. Suppose n + 3 = -3*c - 6, 2*n + 3*c = -j. Solve n*t = t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.099*0.4\nAnswer: 0.0396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 3*i - 6*i. Suppose j - 5*j - 20 = 0. Give o(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 20*l + 37. Calculate k(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -269, -6633, 0 in ascending order.\nAnswer: -6633, -269, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 4. Let g be u(5). Calculate the remainder when 17 is divided by (-1 - -2 - -10) + g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2544545 (base 8) to base 3\nAnswer: 1022220201010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2994795 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -207, -1680, -5663, -13410, -26175, -45212, -71775?\n\"Answer: -209*m**3 - m**2 - 7*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14601 + 19906. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s**2 - 8*s - 1. Suppose -14*r - 138 + 82 = 0. Let u(g) = -5*g**2 - 7*g - 1. What is r*t(y) + 5*u(y)?\nAnswer: -y**2 - 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -80 in 2, 3\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 216773 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -33433869 rounded to the nearest one hundred thousand?\nAnswer: -33400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1574949?\nAnswer: 3, 524983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 - m**2 - 3*m**2 in the form c*m**2 + n + s*m and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 2:59 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 500*j**4*y**2 - j**3*y + y**2 - 170*y - 6 wrt j?\nAnswer: 2000*j**3*y**2 - 3*j**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18\/5 of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s. Let g(q) = -2*q - 14. Let x be g(-5). Let k(d) = -168*d. Let u(m) = -14*m. Let z(c) = x*k(c) + 49*u(c). Calculate y(z(o)).\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 41*h**3 - 2*h**2 + h. Let z be m(1). Is ((-16)\/z)\/((-2)\/10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-23 - -22)\/((-3)\/1005) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12303290101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45352 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53496 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24881017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 16*v + 60 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4 + 651*m**3 - 46647*m**2 + 1071129*m + 2334102 = 0. What is m?\nAnswer: -2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 11:01 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -316694480448\/6529 + 77718194574901061\/1602412470. Let l = 17\/24543 - v. Let g = 5068 - l. Find the common denominator of g and -49\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 9*v - 6. Let u be p(4). Suppose 3*j = u - 5. Find the second derivative of 3*b + b**j - b + b**3 wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-1))\/(-5*22\/(-55)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(128)*2 - (sqrt(512) + -2))**2*5.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b - 4*o - 94, 3*b = -5*o - 95. Let y be (-8)\/(-4) - b\/1. Let u = y + -22. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -63768, -256417, -577508, -1027041, -1605016?\n\"Answer: -64221*s**2 + 14*s + 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2379, 2375, 2373, 2373, 2375, 2379?\nAnswer: 2385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfudfdn. Give prob of sequence dp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 142*u + 151. Give n(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -3*l + 25 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -608246 times -69\nAnswer: 41968974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*m + 838*m - 430*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 119109.\nAnswer: -20\/119109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18939241*q**5 - 373654*q**2 - 2?\nAnswer: -1136354460*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**3 - i**2 - 2*i. Let j be p(2). Suppose -5*c + 0 + j = 3*f, f = -c + 6. What is s in 50*s**f + 2*s - 15*s - 8 - 19*s - 10*s**2 = 0?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2 + 2*u + 2. Let b(o) = 11*o**2 - 3*o - 4. Give -3*b(s) - 5*y(s).\nAnswer: -13*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/78*(-3)\/(9\/2). Put 2\/9, 0, -0.08, h in ascending order.\nAnswer: h, -0.08, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 345372 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2\/13 - 6744*r\/13 = 0.\nAnswer: -3372, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 p when four letters picked without replacement from puuupuu?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 14 + 16 = 0. Let x be 15\/5 + (y - 2). Let c(z) = 5 + 3*z + 3*z + 5*z. Let k(u) = 16*u + 7. Determine x*c(w) - 5*k(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 5*u - 3*u + (u - 5 + 5)*(2 + 1 - 2))*(4*u**2 - 4*u**2 + 8*u**2) - 49*u**3 - 52*u**3 + 106*u**3.\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 222 - 417. Let p be 5\/(t\/(-95) - 2). Is 95 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 248 = -4*l, 5*l = 2*l + 2*h - 163. Let v = l - -33. Let t = v - -53. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 0.3. Let g be 48\/18 - ((-32 - -16) + 18). What is the nearest to y in 1, g, 0.7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 (base 8) in base 12?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317857.\nAnswer: 317857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 2:38 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**3 + 24*y**2 + 163*y + 4. Determine q(-7).\nAnswer: -1333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00062497426 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3420\/(-152))\/(20\/28)?\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00068766312 rounded to five decimal places?\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 272 = -1648. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5 + 4*s**2 + 1 - 4*s - s**2. Let p(t) = -2*t**2 + 5*t + 5. Let c be (-2)\/(3*3\/(-18)). Let z(d) = c*p(d) + 3*f(d). Give z(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 15 = -1. Let y(d) = d**2 + 8*d + 3. Let g be y(-7). What are the prime factors of (-1 + k)\/((-4)\/g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**2 - 174*p - 179*p + 353*p.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*n = -88*n - 3410 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33293\/5 - -6661. Determine m, given that 0 - 6\/5*m**5 + 27\/5*m**3 - 12\/5*m - p*m**2 + 3\/5*m**4 = 0.\nAnswer: -2, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5330299484 = -75*f - 4615450516. What is f rounded to the nearest one million?\nAnswer: -133000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/7 (b) -0.4 (c) -13 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1050 in -4, 13\/530, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + 0 + sqrt(2736) + 1) + -1*(-2*-2*sqrt(2736) + sqrt(2736) - sqrt(2736) - (0 + sqrt(2736) - sqrt(2736))*-6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)*i\/(i\/(i*(i**(-6)\/i*i)\/i)))\/(((i*(i**(-3)\/i)\/i)\/i)\/(i**3*i)) assuming i is positive.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 902*x**2 - 672*x**2 + 386*x**2 + 3 + 1649*x**2 in the form t + r*x + a*x**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - 2)\/((-41)\/26 + 21\/273). Solve -k*i + 14 - 43 = 3*z, -5*i - 2*z - 31 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**4\/12 + w**3\/2 - 5*w**2\/2 - 37*w + 2. What is n(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.97449473 - 9.\nAnswer: -8.02550527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9604 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -342104 <= -342118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 47 - -46872307?\nAnswer: 46872355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + sqrt(1300)) - (sqrt(1300) + ((sqrt(1300)*2 - sqrt(1300) - sqrt(1300))*4 - sqrt(1300))))**2*-4.\nAnswer: -130400 - 4000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1468 + -0.111. Let f = -0.034 + g. What is f rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*w - 1668 = 41*w. Let l = 288 - w. Solve -4*p = -3*y + y - l, -5*y - 5 = -5*p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108*x**3 - x - 307*x**2 + 307*x**2)*(-2*x**2 - x**2 + 4*x**2).\nAnswer: 108*x**5 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*c, -4*o + c + 4 + 23 = 0. Suppose o = 6*a - 4*a. Suppose -n + 14 = 4*b, a*b + 3*n = -n + 20. Solve t + 1 = 2*v, 4*v = -6*t + b*t + 27 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-2) + 3864\/(-210).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(304) + 1 - (sqrt(304) - (sqrt(304)*-1*2 - sqrt(304))))**2.\nAnswer: -48*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101110020102 + 11?\nAnswer: -1101110020021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 2 - 4*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1711056 is divided by 1239.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -918*s**3 + 21*s**2 + 15*s + 182. Let d be a(26). Round d to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 4:41 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -75*t - 4935. What is c(-49)?\nAnswer: -1260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -67*b**5\/15 + 349*b**3\/3 - 2*b**2 + 261*b. Differentiate s(r) wrt r.\nAnswer: -536*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (462\/99)\/(6\/(-9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -399522 divided by -133174?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 866 + 1760 - 814 = 453*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 868288 divided by -13567?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 14) in base 9?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 + 39*a - 78. Determine i(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**3 + n**2 - 4*n - 5. Let g(l) = -4*l**3 - 4*l - 7. Let v(b) = -3*g(b) + 4*y(b). Let x(w) = 5*w**3 - 3*w**2 + 3*w - 1. Determine 3*v(h) + 4*x(h).\nAnswer: 8*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and 55.1?\nAnswer: 1322.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 166 + 278 = 0. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*o - 2*o - 12, -o - 8 = -2*i. Let x = -12 - -17. Calculate the smallest common multiple of i and (x - -1)\/2 - -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -8 + 4 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2601*i - 1331*i - 1317*i.\nAnswer: -47*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.6 + 20. Let q = v - -26.6. Let k = q + -24.9992. What is k rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o - o**3 - 3*o**2 - o**2 + 5*o**2 + 68*o - o**2.\nAnswer: -o**3 + 53*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c1b9 + 1456?\nAnswer: 2d631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.09536083 and -0.0302496?\nAnswer: 0.12561043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133238 is divided by 141?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50053 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1698*g - 1574 + 5676 = -4388 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -247 + 270. Find the third derivative of -77*u**2 + t*u**6 + 69*u**2 - 111*u**2 wrt u.\nAnswer: 2760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-15)\/20))\/(196\/42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -205?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2269 and -0.61.\nAnswer: 1384.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 17 - 3 = 4*f, 5*a + 28 = 3*f. Suppose f = -2*t + 3*t. Suppose -z - 8 = -3*z. Solve 19 + t = -z*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105397.\nAnswer: 105397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 86*x - 21563. What is u(196)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (5 + 9 + (-20 - (-33 - -12))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 6*y**2 - y - 6. Let f be i(-6). Suppose 5*c - 10*c + 80 = f. What is the smallest common multiple of c and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5360000 = -7*q + 9*q. Round q to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2858 and 31438?\nAnswer: 31438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 u when four letters picked without replacement from bbhubbwubbbhbwhhwhbb.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3653c (base 15) in base 3?\nAnswer: -22210201210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b**2 - 10*b**2 + 2*b**2 + 14*b**2 + 4*b - 7. Is d(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 - -70. Let o be (-14)\/(-6)*(-4)\/(-14). Sort -2\/7, g, o in ascending order.\nAnswer: -2\/7, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15140717 is divided by 560?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -696 + 714. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -5. Let t(i) = -i - 5. Let g(w) = -w - 4. Suppose -3 = c + 2. Let h(u) = c*t(u) + 6*g(u). What is h(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12906 by 1.\nAnswer: -12906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**5\/15 - 2*y**4\/5 + 4*y**3\/3.\nAnswer: -2*y**3*(y + 2)*(4*y - 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 997994 (base 11) in base 3?\nAnswer: 2222212110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 - 38. Let c(a) = -4230 + 2*a - 2*a - 2*a**2 + 4230. Calculate c(w(b)).\nAnswer: -18*b**4 - 456*b**2 - 2888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -11 - -20 - 2*1. Let p = x - 1. Calculate the lowest common multiple of 2\/6 + 16\/6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*r = -3*r - 284, 5*k - 772 = -3*r. Let s = k + -149. Solve 2*g = 1 + s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/(-120))\/((-4)\/(-30))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/3)\/(2*-2). Suppose -4 = h - 1. Let d = -35 + 39. Which is the closest to 0? (a) d (b) s (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + -7. Let v = -2 - f. Solve k + 2*k + v = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14873 and 1029017.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(1\/13)))**(9\/4) assuming i is positive.\nAnswer: i**(-9\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 3 - 3 + (-12*o + 7*o + 6*o)*(2 + 5 - 1) - 90*o - 77*o + 148*o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - y = 8, 5*z = -296*y + 299*y - 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -638\/75 <= -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 13, i: 3, o: 4}. What is prob of sequence ivvi?\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kukooduwdkduukoodokk.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565*x = 710*x - 870145. Calculate the greatest common factor of 34 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2205 and 124364205.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*r = -5*u + 76, r + 2 = 0. What is the remainder when 793 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t - 3. Let n be z(-3). Let v be 2\/6 + 89\/n. Calculate the remainder when (v\/12)\/((-1)\/(-10)) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -6*a + a. Let z(p) = -p**2 + 12*p - 11. Let o be z(2). Calculate the highest common factor of o and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -18*j**2 - 12*j - 15. Give z(-3).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68129\/7 + -9753. Let s = -138\/7 - q. Which is the nearest to -6? (a) s (b) 2\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1. Let i(z) = z + 4. Let x(v) = -i(v) + 5*k(v). Let u(s) = 12*s - s - 9*s - 2. Suppose 5*f = 3*f + 20. Determine f*x(q) + 6*u(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1269*q - 3439*q + 1214*q + 1173*q to the form p + h*q and give h.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365*i + 43*i**3 - 360*i - 236*i**2 + 725*i.\nAnswer: 43*i**3 - 236*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542*a - 451*a - 14732 = -15106 + 43073 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78089 + 2*t + 78087 - 156179.\nAnswer: 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u - 5. Let n be q(-4). Let k = 58 + -54. Suppose n*w - k + 129 = 4*f, -3*w = 5*f - 190. Solve -5*v + f = 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 19703?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4146 and 813?\nAnswer: 1123566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 245824936711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-63))\/((-4)\/(-7))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x - 20*x**2 - 1479 + 1406 + 2*x + 2*x to n*x**2 + b*x + q and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*b + 8 = 2*w, 5*w - b = 24. Suppose m = -w, q - 3*m - 11 = -m. Suppose d = -q*d - 4, -3*j - d = -242. Does 27 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3481349059?\nAnswer: 137, 25411307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - 18 - (0 - 0) - -8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-1\/2)*b*b**(-1\/5)*b\/(b*(b*(b\/b**(-7\/4))\/b)\/b)*b*b**(-6\/11)\/b)\/((b\/b**(-1\/2))**(-10\/13))**(7\/2) assuming b is positive.\nAnswer: b**(11563\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -337 + 337.1. Let u = 4 + -1. Let x(v) = -v**3 + 2*v**2 + 5*v - 2. Let t be x(u). Sort z, 0, t in decreasing order.\nAnswer: t, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -0*v + 1446. Let m = 364 - v. Let h = m - -73. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * -10554.1.\nAnswer: 6332.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/(-88)*8)\/((-1)\/(-9))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 52 = -3*w, -3*w - v + 46 = -2*v. Let d = -15 + w. Suppose -d = -4*u - 9. Is u equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -24\/311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 2*l**2 + 1\/105*l**7 + 0*l**3 - 1\/15*l**6 + 2\/15*l**5 + 0 + 0*l**4 + 0*l. Let n(r) = 0. What is r?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15827*x**3 - 5*x**2 - 105*x + 2 wrt x?\nAnswer: 94962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.3, -1.64, -116542?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000604188648 rounded to five dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5)\/(w\/w**(-4\/7)))\/((w*(w\/(w\/w**6))\/w*w)\/w*w\/w**0))**17 assuming w is positive.\nAnswer: w**(-1615\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1089016 and 48.\nAnswer: 6534096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 287734904141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of y**3 - 3 - 5 + 10*y**3 - 3*y**3 wrt y.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 + 1. Let o be w(-1). Let n = 0 + -2. Let f be o*n\/(-8)*0. Solve 0 = -f*y - 4*y - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -71*p. Let r(w) = -220*w. Give d(r(i)).\nAnswer: 15620*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 18, 270, 1035 in decreasing order.\nAnswer: 1035, 270, 18, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 615 - 323. What is the greatest common factor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -4\/5, 2, 57, -982\/7, -5, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1960 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 2*l - 25, -14 - 8 = -4*v + 2*l. What is the remainder when 11 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -272\/33 (b) -2\/883 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 + 16*j**2 + 23*j - 3. Let x be 1 - ((2 - -3) + 2). Let f be o(x). Solve 2*d - f*g = -g, 0 = -g - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62837.\nAnswer: 31, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/14)\/((-60)\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 195282.997 + -0.3?\nAnswer: 195282.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 411805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-2))\/(-2))\/(12\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 11790 = 5865. What is the greatest common factor of 165 and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 26 = -2*h, 0*h = 5*h - f - 58. Factor h + 11 - 12*a**2 + 8*a**3 + 48*a**2 - 7 + 48*a.\nAnswer: 4*(a + 2)**2*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -910.6 - -864.2. What is the nearest to 1\/2 in -2, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/161, -1, -0.2 in ascending order.\nAnswer: -1, -0.2, 2\/161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -11 - (40 - 62)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 16) to base 9.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + (-4)\/(-10) - (-2904)\/40?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v**1*v))\/v))**(2\/9)\/((v**(-6)*v)\/v*v\/(v*(v*v**(-8))\/v)) assuming v is positive.\nAnswer: v**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1222 - 213231230?\nAnswer: -213230002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*sqrt(3) - (sqrt(3) + sqrt(27) + 0).\nAnswer: -5*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 + 0.23. Let z = -0.1799985 + v. Round z to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -105847 + 872*u + 105847 - 140*u + 294*u as r*u + c and give r.\nAnswer: 1026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446720, 446809, 446898, 446987?\nAnswer: 447076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -4 in descending order.\nAnswer: -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 4. Let t = f - -12. Solve 0 = -2*p + t*p + 5*d + 9, 0 = 4*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-116*u - 7*u - 127*u)*(-2*u + 3 - 3).\nAnswer: 500*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 65280410?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 7) to base 9\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/7, -0.1, 1\/4, 0.0786 in decreasing order.\nAnswer: 1\/4, 0.0786, -0.1, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -462 + 541. Calculate the remainder when 235 is divided by p.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -4.24 (c) 965\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 1\/24*n**4 + 1\/120*n**6 - 1\/30*n**5 + 0*n + 2*n**2 + 0*n**3 + 0. What is the units digit of u(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -4 + -3 + -4 + -5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2 - 2*i - 10*i**3 - 5*i**3 - 10*i**3 - 2. Let m be b(-3). Suppose 2752 = 5*f + m. Round f to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bc + 3b?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -702857\nAnswer: -702857.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 140 - 109. Let s = -15 + c. What is the units digit of (-3)\/(15\/(-368)) - s\/(-40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 i, and 2 g when four letters picked without replacement from iirgizg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -0.7 (c) 1\/3 (d) 1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 1. Let t(c) = 3*c**2 - 44*c + 1. What is 2*i(l) + t(l)?\nAnswer: 3*l**2 - 44*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 1, -18, -5, -21 in descending order.\nAnswer: 5, 1, 0, -5, -18, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 y, and 2 i when four letters picked without replacement from vinyayvyvvvi?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*v + 410*v + 326*v)*(3*v + 4*v - 5*v).\nAnswer: 1540*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89190944?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.5, -496\/7, 0.4?\nAnswer: -496\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 77*c**3 + 0*c**2 + 0*c**2 + 0 + 1. Is p(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5 + 3. Suppose z*x = 2*g + 6, g - 2*g - 1 = -x. Let t = x - -2. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 397*j - 406*j + 54 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y - 1. Let z be m(3). Suppose -3*b + 5*d = -23 - 8, 21 = -2*b - z*d. Does 17 divide b*34\/4*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**4 + o**2\/2 - 8*o + 5. Let t be z(4). Round t to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*a)*(10926373*a - 15358*a**2 - 10926373*a) to the form k + l*a**3 + v*a + h*a**2 and give l.\nAnswer: -30716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**3 + f**2 - 3*f - 1. Let g be v(3). Let d = g + -92. What are the prime factors of (-3)\/(2*(-9)\/d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447281 is divided by 333?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*y - b = -214*y + 3194, 5*y + 2*b = 91 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*(10 + -6). Let u be (-3)\/12*3*z. Let f = 15\/8 - 13\/8. Which is the second biggest value? (a) -3 (b) u (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 + (89 - 107) + (13 - -2) + (-2 - -8).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4)*-894*(-4)\/(-6). Let b = 156 + p. Is b bigger than 5\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-16)*90\/35)\/(170\/119)\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*((4*(sqrt(99) + 2*sqrt(99)) - sqrt(99) - (4 + 1*sqrt(99)))*2)**2*-4*-5.\nAnswer: -115200*sqrt(11) + 4759680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/(1\/394). Let g(x) = v + 189 + 2*x - 386. Let j(k) be the first derivative of 5*k**3\/3 + 1. What is g(j(w))?\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 6 + 1)*(5*o**2 + 12*o**2 - 5*o**2) + (5*o + o - 4*o)*(0*o + 3*o - 4*o) as s*o + k + u*o**2 and give u.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x**2 + x - 2. Let b(r) = -18*r**2 - 3*r + 5. What is 4*b(g) + 9*c(g)?\nAnswer: 9*g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 413 + 332?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -354*r**2 + 281. Let x(j) = -129*j**2. Give t(x(m)).\nAnswer: -5890914*m**4 + 281","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -15, -399, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -796835 divided by 115?\nAnswer: -6929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -h + 4. Let u = -74\/7 - -71\/7. Which is the closest to 1? (a) -4 (b) u (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, i: 3, l: 2, b: 3, x: 1}. Give prob of sequence lxlz.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60509780 and 1610?\nAnswer: 423568460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 2. Let x be d(-7). What is the second derivative of -x*g - 4*g**2 + 5*g**2 - g**2 - 2*g**5 wrt g?\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:04 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.4644 times 4\nAnswer: -1.8576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-14)*(-13)\/(-52)*8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4 + 143*h**3 + 192*h**2 - 451584*h = 0 for h.\nAnswer: -49, 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**2\/5 - 5138512*g + 25692556\/5 = 0.\nAnswer: 1, 6423139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12690936 divided by -5?\nAnswer: 12690936\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3073 + -3073. Which is the closest to 1\/5? (a) 4 (b) q (c) -5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4928 and 2019136?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -8. What is the lowest common multiple of -1*(0 + 1) + 8 and 24\/2 + a - 2?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 0.111.\nAnswer: 4.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - -58. Let g = 72 - 22. Calculate the smallest common multiple of c and g.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -c + 9, 15 = 3*j - 2*j + 4*c. Calculate the common denominator of ((-46)\/(-16))\/((-582)\/(-120) - 5) and j*(-3)\/(-72)*-26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*s**2 + 55*s**2 - 84*s**2 to h*s + v + o*s**2 and give o.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -419, -964, -1511, -2060, -2611?\n\"Answer: -z**2 - 542*z + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 6 - 48)*((3 - 1 + 1)*(-1 - 2*j + 1) - 8 + 8 - 3*j).\nAnswer: 504*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 z when three letters picked without replacement from {b: 1, c: 1, z: 2, p: 1, o: 1, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j + 14 + 17 - 26*j - 31.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, v: 11}. What is prob of sequence vv?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 100?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -12*m + 2*m. Let b = 3 - -3. Calculate the remainder when m is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 24 = 4*d, -9*b + 10*b + 4*d - 36 = 0. Solve -2*c - 6 + b = -2*r, 0 = -5*c + 4*r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**1)*a*a\/(a\/(a**4\/a))*(a\/(a\/((a*a**(-1)*a)\/a)))**(-37))**(-38) assuming a is positive.\nAnswer: a**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - 2 - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -5 (b) -1\/10 (c) -31 (d) 13 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16456015 + 3.1563.\nAnswer: 3.32086015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - q - 1. What is n(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1323439.\nAnswer: 13, 41, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24, -55, -88, -123, -160?\n\"Answer: -w**2 - 28*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 4*g**2 - 5. Let x(w) = 6*w - w**2 - 5*w**2 - 1 - 5*w + 2*w**2. Let o be x(1). Give s(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from jkkjkjkjkkkjj.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = x + 19 + 123, -x = 5*b + 146. Let w = 230 + x. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.213 - 16.883. Round n to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + z - 28. Let s be h(-30). Is (s\/(-8))\/(-3*5\/180) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.678 rounded to 1 dp?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -o - 4*k + 1263, -o + 3*k + 245 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 10:46 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1 + 0*y**3 - 1 - 9*y**3 - 1 wrt y?\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/3850 and -51\/28?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-2))\/(14619\/886)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(5\/2)*a)\/(a*(a\/a**1*a)\/a) assuming a is positive.\nAnswer: a**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**4\/4 - 131*q**3 - q**2 + 200*q - 1929. What is the second derivative of y(m) wrt m?\nAnswer: -6*m - 786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2457*a**3 - 186612*a**2 + 3538788*a + 173280.\nAnswer: 3*(a - 38)**2*(819*a + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 7. Suppose -z + 3 = r, 2*r + r = -4*z + 9. What is the second derivative of -n - 11*u - 7*u + r - 17*u**4 wrt u?\nAnswer: -204*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*v + 3 = 0. Suppose v*d + 12 = 5*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - 143. Is p\/(-4) + 2\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -11 - (3 + -16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/4)\/b**5*(b\/(b**(2\/17)\/b*b))\/(b*b*b\/b**4) assuming b is positive.\nAnswer: b**(-195\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 + 89. What is the remainder when u is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24746?\nAnswer: 2, 12373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + n = -7, -4*a + 3*n + 1 = -7. Suppose 4 = 4*q - 12. Let g be ((-6)\/q)\/(0 - 3). Which is greater: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**5\/330 - x**4\/44 - 2*x**3\/33 + 7*x**2. Factor p(a).\nAnswer: -2*(a + 1)*(a + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.2 - 3.07. Let q = 0.17 + z. Let i(k) = -3*k**2 - 6*k - 4. Let n be i(0). Which is the nearest to -1\/3? (a) n (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n - 2*n + 29*n**3 - 80*n**2 + 77*n**2 + 4*n - 6 in the form u*n**3 + f*n + l + d*n**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753526452 is divided by 1969.\nAnswer: 1966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*y - 156 = g, 0 = -2*y - 8. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/11300 and 101\/389850.\nAnswer: 779700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1020\/11 - -2051\/22. Let v be (-4*(-2)\/10)\/(-2). Which is the nearest to 0.3? (a) v (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 - 141 - 3*c + 5*c - 134.\nAnswer: 2*c - 201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.50117837 to two dps.\nAnswer: -15.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 72 + 68 = 0. Let x be y*(40\/12 - 4)*3. Suppose -x*t - 94 = -2*k - 436, 5*t - 887 = -3*k. List the prime factors of t.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3235, 3182, 3087, 2944, 2747?\nAnswer: 2490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*u + 14, -180*u + 42 = 3*t - 184*u. Let w(v) = -v**3 + 14*v**2 - v - 23. Calculate w(t).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -236368 + -25?\nAnswer: -236393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3 = -z, -7 = -4*z + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1058\/25 - 1068\/25. Sort s, -1, 1, -3\/16, 2\/11.\nAnswer: -1, s, -3\/16, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 17*g**2 + 19*g + 14. Let d(v) = 14*v**2 + 17*v + 12. Let t(h) = -6*d(h) + 5*n(h). What is t(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 266981*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 4*w + 7. Let r be i(4). Let l = r + -40. Put -1\/5, l, 0.03 in descending order.\nAnswer: 0.03, -1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24411204 (base 5) to base 7\nAnswer: -1654354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5849*j**2 + 3 - 6 + 3 - 5851*j**2 - 9*j.\nAnswer: -2*j**2 - 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -2154.\nAnswer: 10770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-18) + 2\/(1 - -1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 13*p + 12. Let j be i(-12). Suppose j = k - 3*b + 12, 3*k - 3*b + 18 = -0*b. What are the prime factors of (-44)\/(-16)*(-108)\/k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 2 + -3 + 8. Suppose 0 = -3*o + n + 3. Suppose -l = 3*y - 6, o*l = 3*y - 2*y + 8. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-9) - (1569883\/(-13563) + 115).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 79\/2 of a day?\nAnswer: 56880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3304*1\nAnswer: -0.3304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.78 + -4.05. Let g = d - -0.27. Let y = 0.073 + -3.073. What is the closest to g in 6, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*r = -10, 0*y + r = -y - 5. Suppose 3*z - 19 = -22, 0 = -i - 5*z. Solve -2*q - 2*t + 10 = y, 5 = -4*q + i*t + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-22)\/(-8) + -3). Let l = x + 7. Solve l*z = z + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58961796 a multiple of 3047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 1. Suppose 120*w = 60*w - 240. Let t = -24 - -21. Which is the third smallest value? (a) t (b) k (c) w (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2122472 and 27399184?\nAnswer: 301391024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -15 (c) 4 (d) 244212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 891137304 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83433 and 91653?\nAnswer: 18605559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -38*v**2 - v + 4. Let r be i(2). Let c be 4\/(-10) - 135\/r. Let g = 1\/6 + c. What is the second smallest value in 0.5, 1\/4, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.2 - -1.2. Let v = -0.2526 - 3.7474. Let q be 6\/(((-30)\/4)\/(-1)). Which is the nearest to v? (a) 0.4 (b) i (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 8*j - 5. Suppose 2*m - 4 = -0*m. What is the remainder when t(7) is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 5*r + 5*s - 123, r + 3*s = 52. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*b + 1500, -2*b - 3*g - g = -594. Suppose 4*t + 79 - b = 0. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**5 - 7*j**5 + 4*j**5 + 10*j**3 - 5*j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113003144 (base 7) to base 9\nAnswer: 14051158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.3, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/23221 or 0?\nAnswer: 6\/23221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(12)\/sqrt(4) + 4) - (-4 + sqrt(33)\/(sqrt(99)\/sqrt(9))))**2.\nAnswer: 192*sqrt(3) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-48)*2*-142)\/(3*(-1)\/1)?\nAnswer: 71\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**6\/60 + m**4\/24 + m**2 + 2. Let t(n) be the second derivative of c(n). What is the second derivative of t(v) wrt v?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlz when three letters picked without replacement from {l: 3, z: 13}.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**6\/15 - j**5\/5 - 5*j**4\/6 + 2*j**3 + 30*j. Factor w(h).\nAnswer: 2*h*(h - 3)*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.2 (c) 2572 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.471 and 63.847.\nAnswer: 69.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c = 24. What is the highest common factor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 123.3868 litres?\nAnswer: 123386.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 + -2 + 2 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 1)*(0*x + x + 3*x) + 0*x + 4*x - 3*x - x - 6*x + 4*x + (2 + 3 - 3)*(2*x + 0*x - 3*x) + 5*x + x - 5*x + 1 - x - 1.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -9\/10 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/793?\nAnswer: 2\/793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 259*i**2 + 140*i - 2449. Is a(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(13) - (2 + sqrt(1872) + sqrt(13))) + sqrt(52)*-2))**2.\nAnswer: 64*sqrt(13) + 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5 + 6*f - 2*f**2 - 5*f - 9*f. Let m(l) = -l**2 + l - 1. Let i(t) = m(t) - w(t). Calculate i(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7466676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**3 + 1429751*x**2 + 1715695*x + 285949 = 0.\nAnswer: -285949, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6\/9 + (63700\/78)\/(-49)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 479\/1183 - -4\/169. What is the nearest to 1\/2 in 0.1, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16665163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3572\/3*h - 1594898\/3 - 2\/3*h**2 = 0.\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*t**2*w**5 + 55*t**2*w**2 - 3*t**2 - 35*t*w + 2 wrt w?\nAnswer: 180*t**2*w**3 + 110*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from ekekxeexxkk?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 - 27*d + 12. Let o be x(6). Let t be 3\/(-4)*o + 5\/(-2). Which is the smallest value? (a) 3 (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 5*x**2 - 8*x + 4. Let z = 67 - 61. Calculate m(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1000960890 to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2480024 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: Is 0.4 at most as big as 0.457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-74 + 45 - 4*a - 24)*(0*a + 0*a - a**2) in the form y + j*a**2 + z*a + r*a**3 and give j.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 10*w**2 + 9*w + 3. Let g be x(9). Let v = 3 + g. Calculate the least common multiple of ((-9)\/v - -1)*-6 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13\/2 + 8. Suppose 27 = l - 5*f, 4*f + 24 = -3*l + 5*l. What is the biggest value in 5, x, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130557, -130555, -130553, -130551, -130549, -130547?\nAnswer: -130545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-9) - (-1)\/3. Let p = 24 - 24.8. Let g = p - 4.2. What is the biggest value in l, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/2*2646\/378?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120032 (base 5) in base 8?\nAnswer: -47061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 2*g**7\/21 - g**3 - 7*g - 10. Let h(m) be the first derivative of w(m). What is the second derivative of h(n) wrt n?\nAnswer: 80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*j**2 + 10*j**3 - 265*j**2 - 242*j**2.\nAnswer: 10*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 + 0.31. What is the fourth biggest value in 0, 0.3, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -98*p**5 - 4186*p**4 - 14380*p**3 - 7100*p**2 + 2958*p - 234 = 0.\nAnswer: -39, -3, -1, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 317501222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/(-45))\/(((-20)\/(-550356))\/5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1510 and 5?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/17 and 26\/17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/5)\/((-2)\/5). Suppose 0 = -3*z, -12 - 133 = -m + g*z. Is m a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -91 (c) 0.06 (d) 0 (e) -8 (f) -353\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 13829.\nAnswer: -1, 1, 13829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**14*v\/(v*(v\/v**1)\/v)*v assuming v is positive.\nAnswer: v**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8478647 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27057 is divided by 2253.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x + 157. Let s be u(-18). List the prime factors of -4 + -1 + 3 - -55 - s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -117 + -11?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:51 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 507098393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.558556334 and 0.1?\nAnswer: 0.658556334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o + 2. Let g = 17 - 15. Let j be f(g). Suppose 4*q = 4*z + j, z - 3*z = -4. Solve 5 = q*n - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294 = -34*v - 361 + 145 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1354 or -1347?\nAnswer: -1354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 33. Let i be 33\/(-3 + 2 + w). Let p = -24 - i. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 + 75.74. What is l rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - p = -14, 5*w - 14 + 4 = -5*p. Suppose -19 = -w*i - 7. Suppose 2*s + 142 = i*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 1. Let b(n) = -2*n**2 - 4*n - 5. What is -b(c) + 3*h(c)?\nAnswer: 2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 5*t - 4. Let n = -586 - -590. Let g be 0\/(28\/n) - (-9)\/3. Determine a(g).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 2. Determine j so that y*j**2 - 32*j**2 + 14*j**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -536857, -1073714, -1610571, -2147428?\n\"Answer: -536857*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 4608.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1087 - -611. Let f be ((-14)\/p)\/(2 - 21\/12). Sort -2\/5, -1\/4, f, 0.3 in decreasing order.\nAnswer: 0.3, f, -1\/4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -60 - 47) + -16 + 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-16) - ((-138)\/24 + 7).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22362431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43243 (base 7) to base 10.\nAnswer: 10762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5980325 divided by 13\nAnswer: -460025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/318 and -71\/22.\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 80. Let y be q(0). Suppose -3*m = m + y. Does 6 divide (-29)\/(-5) - 4\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -33111?\nAnswer: -33032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133339522?\nAnswer: 2, 66669761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4056 and 936?\nAnswer: 12168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, v: 1, z: 3, m: 2}. What is prob of picking 1 m and 3 y?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422672 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.4 - 4.1. Let y = s - 4. Let l = -0.30000064 + y. Round l to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 705 = -10*n. Let c be n*2\/18*3. Suppose 4*z = c + 1. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 81337?\nAnswer: 4880.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-28)\/21)\/(2\/(-6)). Suppose -m*w - 1 = 3. Let z(r) = -3*r + 3. Calculate the least common multiple of 14 and z(w).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-5 - 0)*(-40 + 39). Solve -30 = p*z + 4*i, 8 = -2*i - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*n = -4*n. Suppose 20 = -5*z + 5*u - n*u, 2*z = 4*u. Let g(y) = y**3 + 8*y**2 + y + 9. Calculate g(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njnf when four letters picked without replacement from {l: 6, n: 4, e: 1, f: 1, w: 1, j: 3}?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/2, -0.173, -2, -11?\nAnswer: -0.173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 - 59. Suppose 7 + h = k. Calculate the highest common factor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 8:04 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 3*p + 1. Let s be o(-3). Calculate the highest common factor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, -0.054, 5?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000074500876 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 646359939 or 646359937?\nAnswer: 646359937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = l - 9, 3*l = -5*h + 99 - 100 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101 - 110100?\nAnswer: -1011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3053653 divided by -2.\nAnswer: 3053653\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 1. Let r(c) = 8*c + 11. Let y(k) = -2*n(k) - r(k). What is the first derivative of y(i) wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 91, 296, 683, 1312, 2243?\nAnswer: 3536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 + -1020?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6010363761 + -2.60105. What is s rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -4 - 13 - (226 - 211)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + -61. Suppose 10 = 4*h - 2*x, 5*h - 5*x - 7 = h. What is the nearest to 0.1 in i, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 556238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 1945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8a2 + 99?\nAnswer: 95b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpe when three letters picked without replacement from {e: 3, q: 2, p: 2, z: 4, v: 6}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4615 - -1035. Let b = x - -25140\/7. What is l in 78\/7*l**4 - 96\/7*l - 32\/7 - 48\/7*l**2 + b*l**3 + 18\/7*l**5 = 0?\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, q: 1, y: 1, d: 2}. What is prob of picking 1 q and 2 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(3*j + 80*j + 17*j)*(219*j - 430*j + 212*j - 52*j**2).\nAnswer: -10400*j**3 + 200*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26326, -26354, -26400, -26464?\n\"Answer: -9*g**2 - g - 26316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 981344926 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*w + 150 = 0, 2*a + 2*w - 53 = 7*w. Let t = a - 13. What is the lowest common multiple of t and 3\/(-6) - 34\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 49, -48804, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-44)\/330*((-855)\/6)\/3\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**3 + 1432*u + 1435*u + u**2 - 2874*u + 0*u**2 to the form p*u**3 + b*u**2 + z*u + w and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3574026 is divided by 1191088.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -1\/12*i**4 + 20\/3*i**3 + 1 + 1\/75*i**5 + 0*i**2 + 1\/900*i**6 + 0*i. Let f(h) be the third derivative of u(h). Factor f(b).\nAnswer: 2*(b - 1)*(b + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = -1153 + 5573. List the prime factors of g.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 8*i + 36. Suppose -795 = -15*m + i*m. Suppose -4*z + 5*l = -m, 2*z - l + 2*l = 115. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, -29, -69, -125, -197?\n\"Answer: -8*y**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 61 = -3*o, -3*r = -o - 17 + 1. Let y = -10 - o. Calculate the lowest common multiple of 8 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98124387 > 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36678*k**2*t**3 + 185*k**2 + k*t**3 - 21*k*t**2 wrt t?\nAnswer: -220068*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/16)\/((-2)\/(11\/(110\/12))).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 76032 = -10*d. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*(sqrt(475)*-6 + -2) + 1 + -3 + sqrt(475)*-5 + -2))**2.\nAnswer: 581875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.055 + 12.5. Let m = v + 0.6653. What is m rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4143 - 300?\nAnswer: 3343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 9047?\nAnswer: 54282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 22, 19, 2, -35, -98, -193?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(605)*-2 + -1.\nAnswer: -22*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93 - -173. Calculate the greatest common divisor of o and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 2*r + 16, -p = -2*p - 4*r - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3265, -6432, -9501, -12472, -15345, -18120?\nAnswer: -20797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 + 76. Suppose -2*j + 3 = -j - w, 0 = -w - 1. Let k be j - l\/((-9)\/(-8)). Which is bigger: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 4*p**3 - 6*p**3)*(7*p**2 - 30*p**2 - 29*p**2).\nAnswer: 52*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97747590 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13381, 26818, 40255, 53692?\nAnswer: 67129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 + -40. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532518?\nAnswer: 2, 3, 7, 31, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 0*g - 5 - 1\/3*g**2 - 2\/15*g**5 - 1\/2*g**4 - 2\/3*g**3. Let k(n) = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.30129 kilometers in meters?\nAnswer: 58301.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 1\/4. Sort 4\/5, -0.5, 4, g.\nAnswer: -0.5, g, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Let u be r - (-1 + 1 + -3). Suppose -4*a = w - 3*a + 1, -3*w + u*a = 31. What is the biggest value in -2, w, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y**2 - 225*y + 8. Let j be z(25). Let w be (j\/808)\/((-3)\/(-12)). Is -1 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -40*s + 81. Let w(l) = -14*l + 28. Let d(v) = -6*b(v) + 17*w(v). Let a be d(7). Solve -x - 2*q - 4 = q, -8 = a*q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -85, 1\/16, 2\/7?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*m + 3 = -15, 5*y - 30 = 5*m. Let d = 15 - 11. Suppose t + 2 = d*r - 0*r, 5*t - 65 = -y*r. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2*p**3 - 2961*f**2 + f*p**3 - 5289*p wrt f?\nAnswer: -2*p**3 - 5922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 243, 8\/7, -11, 14, -6\/7, -2\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 441 and 1616859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 305233593.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312436399 is divided by 141.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*10*(-2)\/5. Is v\/14 - (-678)\/21 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 249 + 462 = -5*t + 258, 3*t + n - 11 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.8460131 to 1 dp.\nAnswer: 14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.09894.\nAnswer: -0.039576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1106915*m**2*u**3 - 157067*m**2*u - 2*m*u wrt u.\nAnswer: 6641490*m**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -24*u - 21. What is k(-9)?\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*v**3 + 7*v**2 - 7*v**2 + 30*v**3.\nAnswer: 108*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4 + 1848*f**3 + 126417*f**2 + 1776852*f - 1905120 = 0. What is f?\nAnswer: -540, -56, -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**3 + 89*y**2 + 285*y + 17. Calculate l(-26).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1541401032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 15*i - 34. Let x be m(-17). Suppose -4*p + p - 432 = x. Let b = p - -278. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1523, 3089, 4739, 6515, 8459?\nAnswer: 10613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1051 + 3988 = 3*h. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/975374 or 1?\nAnswer: -13\/975374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 49\/2. Suppose -3*j + 32 = 4*g, -4*g + 5*j = -146 + 178. What is the nearest to c in -3, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 256.999999412 - 257. Round t to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*d + 4*t, -5*t + 11 = 11*d - 9*d. Let u be (d\/(-14))\/(6\/(-21))*-42. Solve -u - 3 = 8*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r. Let a be j(1). Let u(d) = d**3 + 0 - 6*d - 5*d**2 + 5 - 5. Give u(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/(d\/((d*((d*d\/(d**(-2\/3)\/d)*d)\/d)\/d)\/d))*d)\/d)*d)**(-2\/163)\/(d\/(d\/(((d\/(d*d*d*d**(-2\/7)\/d*d))\/d)\/d)))**(8\/7) assuming d is positive.\nAnswer: d**(101908\/23961)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 299*v**2 - 336*v**5 + 135*v**5 - 282*v**5 - 299*v**2 + (-4*v + 4*v - v**2)*(-4 + 4 + v**3) - 3*v**5 - v**5 + 2*v**5.\nAnswer: -486*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*l = -6*b + 36, 0 = -b - 2*l + 8. Sort 0, b, 2, 4 in descending order.\nAnswer: b, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**4 + 101*c - 82*c + 9 - 7 as x*c**3 + d + z*c + h*c**2 + p*c**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q = -2. Let h = 7583 - 1061607\/140. Let t = 3\/28 + h. Which is greater: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 9*f**2 - 8*f - 23. Determine s(-10).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26325173.45168 + -25942554.49268075. Let w = j - 382619. Let f = -0.041 - w. Round f to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3)\/b)**(-6\/5)*(b*b*b**(2\/7)\/b*b*b*b)\/b**1)**(2\/5) assuming b is positive.\nAnswer: b**(566\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 299585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 7:16 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 102, 149, 174, 171, 134, 57?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -160*o + 336*o + o**4 - 182*o - o**3 + 820*o**2 to the form h*o**3 + w*o + j*o**4 + x*o**2 + y and give x.\nAnswer: 820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4606237?\nAnswer: 4606237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 623013126*o + 578896794 wrt o?\nAnswer: 623013126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25164*a + 408 = -25198*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*g**3 - 4944*g**2 - 1412*g.\nAnswer: -g*(g + 706)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 38*b**2 + b + 51. Let l be d(-38). What is the third derivative of 2*j**5 + 9*j**2 - l*j**3 - 68*j - 19*j**2 + 7*j**2 - 6*j wrt j?\nAnswer: 120*j**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from ixnicuux.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + ((-1077782)\/8118 - -2). Let d = -215\/369 - x. Let g = 130 - d. Which is the third smallest value? (a) -3\/5 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*x - 630 = -4230 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/42 and 3\/(-9) + (-735)\/(-18).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h + 2. Suppose -25 + 14 = -j. Suppose j*d + 4*d = 75. Let z(c) = 6*c + 2. Calculate d*b(x) - 4*z(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -238 - -232 - (-3 + 1 + (-4 - 13)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 149632217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 - 3*b + 3*b + (3 - 5 + 0)*(3*b**2 - 47 + 47).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2038292850 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x - 2 + 14 = -34*x. Let g(u) = 21*u**2 + 3*u + 3. Let p(o) = -21*o**2 - 4*o - 4. Give x*g(s) - 3*p(s).\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*o + 451, b + 302 = 2*o - b. Suppose o = -2*k + 576. Is (-1)\/(1 + (-216)\/k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -168*t**3 - t - 1. Let n(w) = -2*w - 15. Let c be n(-7). Let q be r(c). Find the common denominator of (-2)\/4 - 316\/q and -13\/5.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -473 + 155. Let k = d + -48. Solve 0*y - k*w = -2*y - 26, -w - 8 = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 136 + 875. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, b: 4}. What is prob of sequence bb?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*sqrt(612) - sqrt(612)) + 2*sqrt(612)*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**3 + 8*a**2 - 3*a + 37. Does 9 divide n(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -16 (b) -187 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 2 = -3*k. Suppose v + k*v + 8 = 0. What is the units digit of ((-3)\/v)\/(18\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2137027135 to the nearest integer?\nAnswer: 46228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 536.4304 millennia in centuries?\nAnswer: 5364.304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.3 and 0.1.\nAnswer: -1.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 44 = -4*v, 3*v + 6*f - 38 = 2*f. Let h be 4\/8*-6 + v. Solve -h*l + 3 = 0, -2*l - 5 = 4*k - 27 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -189.99*0.05\nAnswer: -9.4995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 14 + 2 - 3 + 0 + 4 + 1 + 2 - 1 + (1 + 0 + 0)*(0 + 0 - 1) + 2 + 0 - 3 - 3 - 4 + 5 + (3 + 2 - 4)*(-4 + 3 + 3))*(0*y + 0*y - 2*y)*(3 - 4 + 2).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000030169 to 7 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -65*k**2. Let d(r) = 16*r**2 + 18*r. Let c(j) = 14*j**2 + 12*j. Let u(f) = 3*c(f) - 2*d(f). Calculate x(u(p)).\nAnswer: -6500*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1 + (4 - 1 - 1)*(-2 + 2 - 2))*(-3 - 2 + 1)*(2*b - b - 3*b) in the form v*b + q and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3719549076 and -2535.\nAnswer: -2535.3719549076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4844887, -9689817, -14534747, -19379677, -24224607, -29069537?\n\"Answer: -4844930*o + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from alayyjjiyjj.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4011 + 0.4. Round p to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18165786629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*m**3 - 16778*m**2 - 991348*m.\nAnswer: 240*m - 33556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1429307313.\nAnswer: 3, 7, 9723179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 221 by -2513.\nAnswer: -221\/2513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1542513.\nAnswer: 3, 7, 73453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2141 - -2363. What is the highest common divisor of 18 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/u**10*u*u*u)*((u*u**15)\/u)\/u*u)\/(((u\/((u*u**(1\/10)*u)\/u))\/u)\/u**4) assuming u is positive.\nAnswer: u**(261\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53.8 + -5.2. Let v = g - -30. Let t = v - -28.854. What is t rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**5\/10 - j**4\/4 + j**2\/2 + j\/2 - 9. Find f, given that l(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 106, -1, -5, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108586735 is divided by 1211.\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -31.48. Let y = 1.01 - r. What is y rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-16))\/(2\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*b**3 + 33*b**3 + 338*b**2 - 339*b**2 - 13*b**3.\nAnswer: -374*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 59?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 2:38 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-14 - -10 - -8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5.1 and 72?\nAnswer: 77.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5809218?\nAnswer: 2, 3, 757, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 3665*u + 2308*u.\nAnswer: 5973*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 - -7.7. Let t = 4 - d. What is the closest to 1\/3 in -2\/5, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 11*k + v + 889 = 0, 3*k + 3*v = 1347. What is the remainder when k is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - x - 146, -5*r + 3*x = x - 244. Suppose 0 = 6*d - 12*d + r. Let i = 32 - d. Calculate the greatest common factor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1190265998 to four dps.\nAnswer: -0.119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*q = -6, -3 = -4*q + 5*q. Suppose m - 4 + d = 0. Suppose 18 = m*b - a - a, -21 = -3*b + 4*a. Solve -b = -3*r + 3*g, 3*r = 2*g - 0 + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75748333.\nAnswer: 75748333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 288447 - 4.36.\nAnswer: 288442.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 + 19 + -22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m**2 - 38*m. Let o(q) = -4*q. What is o(u(p))?\nAnswer: 28*p**2 + 152*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*f - 2*f. Let q = f + -8. Let r = q + 10. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 130980, 261700, 392420?\n\"Answer: 130720*g + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6549652, -6549650, -6549648, -6549646?\nAnswer: -6549644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 14. Let g = i - 2.9. Let u = -0.1 - g. What is the biggest value in -2, -6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*(-29)\/(2871\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*y - 5*y + 14 = 0, -3*y + 6 = 0. Let m be 6\/j*(-26)\/13. What is the remainder when ((-48)\/9 + m)*-3 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**3 + 63*u**2 + 31*u - 235. Give p(-15).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321780 - 31890 - 6*t + 5*t.\nAnswer: -t - 353670","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 23*v + 2. Let g be 1\/(5 + -3 - 54\/24). What is the smallest common multiple of a(g) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y + 6*y - 13*y - 5*y**2 + 0*y**2. What is k(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 20*u + 22. Let l be k(19). Let p = -97\/399 - -22\/57. Suppose 5\/7*n**2 + p*n**l + n + 3\/7 = 0. What is n?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3223, -3222, -3221, -3220?\n\"Answer: t - 3224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**7*s*s*s**(3\/7)*s*s*((((s\/(s**(4\/7)\/s))\/s)\/s)\/s*s)**17 assuming s is positive.\nAnswer: s**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5)\/(a*a**(1\/9)))**(11\/9) assuming a is positive.\nAnswer: a**(-451\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271203903.\nAnswer: 1271203903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**3*p**(2\/5)*p)\/(p**5\/p**(-3)))**49 assuming p is positive.\nAnswer: p**(-2107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2753 + 4121. Let j be 2\/(-9) + (-2288)\/s. Let u = -1010\/513 - j. Does 1 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 times -0.0894508?\nAnswer: 0.0223627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**4\/12 - 31*f**3\/6 + 109*f**2\/2 - 3*f - 1. Let z be c(-34). Solve 11*j - 12 = z*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a (base 12) in base 10?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 18661224170564*j - 18661224170564*j + 15.\nAnswer: j**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 884?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 2855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*g, 5 = q + g + 4. Suppose 0 = x - 11 - 8. Put q, 5, x, -2 in decreasing order.\nAnswer: x, 5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 - 71. Suppose 0 = -5*q - 77 - a. Let o = -9 - 9. Which is bigger: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojjz when four letters picked without replacement from {z: 1, b: 1, o: 3, j: 2, p: 3, m: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -5*h + 28. Let n = h - 11. What is the second derivative of 85 - 4*v**4 - 85 - n*v wrt v?\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1361346, -1361322, -1361298, -1361274, -1361250?\nAnswer: -1361226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 4*u - 1. Let m be d(-2). Let j be 0 - (-7 - -3)*1. Which is the nearest to 1\/2? (a) j (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54999, -110190, -165381, -220572, -275763, -330954?\nAnswer: -386145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -611*o**3 + 2*o**2 - 5*o - 12. Let h(g) = -1832*g**3 + 5*g**2 - 13*g - 33. What is 4*h(a) - 11*i(a)?\nAnswer: -607*a**3 - 2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 41*i**9\/504 + i**6\/24 + 62*i**5\/15 + i**3\/3 - 8*i**2 - 21. Find the third derivative of t(r) wrt r.\nAnswer: 4920*r**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) -0.1 (c) -1\/4 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29\/5 (b) 35.751 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1. Suppose n + n - 30 = -5*w, -5*n + w + 75 = t. Let m = 315 + -299. Do n and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38221468*h**5 + 110*h**2 - 13*h - 155 wrt h.\nAnswer: -2293288080*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 2*b. Suppose 2*q - 4 = 0, -4 - 27 = -5*x - 3*q. Sort b, x, -3.\nAnswer: -3, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 23*g - 1. Let r(u) = -19*u**2 - 11*u + 9. Determine w(r(s)).\nAnswer: -437*s**2 - 253*s + 206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/252 and ((-290)\/(-48))\/((-48)\/(-64)).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001291063 rounded to six decimal places?\nAnswer: 0.001291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 10 = -3*w, 3*w + 14 = 3*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**4 + q**3 + 2*q**2 + 4*q - 3. Let d(t) = -t**4 - t**3 - t**2 - 3*t + 2. Let u(a) = -5*d(a) - 4*f(a). Factor u(j).\nAnswer: (j - 1)**2*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence laa when three letters picked without replacement from lllllaaalallla.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from orto?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 8 + 0 + 104*i + 3.\nAnswer: 104*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 3*y - 13. Let g = y + 16. Does 10 divide -10*g\/9*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(405)*-2 + sqrt(405))*-4)**2 + -4.\nAnswer: 12956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.2 - -35701069?\nAnswer: 35701129.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 435, -4 in decreasing order.\nAnswer: 435, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 7. Let i be t(-9). Suppose -5*o + 172 = m, -2*o - 8*m + 61 = -5*m. Solve h + h = 3*x - 25, -i*h - o = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, -187, -156, -107, -34?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i - 66. Let q be h(17). Factor 2\/9*f**q - 2\/9 - 2\/9*f**3 + 2\/9*f.\nAnswer: -2*(f - 1)**2*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g - 24024*g**5 + g**4 + 0*g + 24056*g**5 + g**3 + (-1 + 1 + 2*g**3)*(2*g**2 - 4*g + 4*g).\nAnswer: 36*g**5 + g**4 + g**3 + 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*((-12)\/8 + -8 + -3). Solve -5*y - v = 0, h - 4*h - 3*y = 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 396 and 4158?\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 346.\nAnswer: -1\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttttqqttqtqtqttt. What is prob of sequence qqqt?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {a: 4, u: 5, e: 2, k: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 0, -0.2, 17, -3, 19, 12 in decreasing order.\nAnswer: 19, 17, 12, 0, -0.2, -3, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l**17\/l)\/l)\/l)**(1\/66)*(l**(-2\/61)*l)**23 assuming l is positive.\nAnswer: l**(30159\/1342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/7 in -1.9, 3.2, 1, 0.2?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210022222 - 11?\nAnswer: 1210022211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + k + 9 = 0, -j - 2*j - 2*k + 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) - (-24)\/9. Suppose n - f = -0*n. Let a be -2*(0 - (-3)\/(-2)). What is the highest common factor of n and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/4, 3\/26, 3\/4?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*r + 212 = 0, 0 = -2*b + r + 70 + 15. Let w = 77 - b. Suppose -4*z + 84 = 5*a, a = 4*z - 26 - w. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1324, 1311, 1298, 1285, 1272?\n\"Answer: -13*v + 1337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -1736.38355893.\nAnswer: 1732.38355893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 39*r**2 + 9. Let f(h) = 116*h**2 - h + 27. Suppose 4*x - i - 1 = 2*i, 3*i = x + 11. Let z(k) = x*f(k) - 11*y(k). Is z(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00194351 rounded to 4 decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 3678809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3621, -13667, -30171, -53133, -82553, -118431, -160767?\nAnswer: -209561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 11 = 3*o - 4*b, -4 = -o - b. Solve o*q - 3 + 0 = 0, -w = q + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635673183?\nAnswer: 3, 211891061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -1)\/(4\/(-10)). Let a be (6\/(-5))\/((-16)\/120). Suppose 3*y - 5*i - 10 = a, -4*y - i = -10. Put y, 1, -3, r in descending order.\nAnswer: y, 1, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1750.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-140)\/(-16) + (-6)\/8. Suppose -14*b + q*b = -424. Let l = -10 - -21. Calculate the remainder when b is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-126) - (-34)\/7. Suppose 3*b - 4*j - 62141 = 0, 13*b + t*j - 41389 = 11*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.026 smaller than -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2390948 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.1048 times 0.4?\nAnswer: 8.04192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 8:08 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 14*f = 180. What is the highest common divisor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*i + 1718 + 2116 = 68*i + 1136 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146.2 + -149.2. Which is the closest to 0? (a) v (b) 0.3 (c) 0.06 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1540*m - 2*u = 1543*m - 48, -3*m = -5*u - 27 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2036194 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/10571 and -17\/279?\nAnswer: 95139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4\/3 + 560*k**3\/3 + 1843*k**2\/3 - 86390*k\/3 - 58552 = 0. What is k?\nAnswer: -13, -2, 12, 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 80*b + 14538. Calculate n(87).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122525875 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30571825?\nAnswer: 5, 157, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*q**2 + 8*q**2 - 84*q**2 + 22*q**3 + 7*q**2 to the form f*q**3 + y + x*q**2 + m*q and give x.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -255.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 19*g - 21. Let f be 0 + -2 + -2 + 9. Suppose -f*o - 20 = q - 0*o, 2*q = 2*o - 28. What are the prime factors of s(q)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 17996 = -2*l + 5*w, 0 = -4*l + 5*w + 35986. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 6 = 5*q - 4*z, 0 = 3*q + 5*z - 31. Suppose 0 = -q*w - 3*w + 20. Solve 12 = w*m + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i - 7 + i**2 + 2 + 4. Calculate y(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205180 to the power of 1\/2, to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 2:50 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**3 + 296*b**2 - 2596*b + 2296 = 0.\nAnswer: -82, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2\/3 + 151886*p + 118335880\/3 = 0.\nAnswer: -227569, -260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxlxll. Give prob of sequence ll.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 81 - 72 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -94*y**3 + 86*y**3 - 120*y + 25*y**2 - 74*y**2 + 47*y**2 + 1 as u*y**3 + f + h*y**2 + l*y and give l.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4027321 - 0.04\nAnswer: 4027320.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 563.1228 years to centuries.\nAnswer: 5.631228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001492 to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 2*m**3 + 2*m**3)*(-2*m**2 - 12*m**2 + 0*m**2).\nAnswer: -84*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 8) in base 7?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + 152 = 142 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 1:43 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 - 2*j**3 + 252*j**2 - 251*j**2 + 3*j**3.\nAnswer: 4*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r + 1 + r**4 + 616*r**2 - 616*r**2 to h*r + b*r**3 + o*r**4 + n + f*r**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(175) + 4)**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 11 = 46. Let v be 23*3*w\/(-3). What is the units digit of 191\/7 + (-46)\/v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 10*r**2 - r + 4. Let l be b(10). Let t(x) = -x**2 - 5*x - 5. What is t(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 47103, 47032, 46943, 46830, 46687, 46508, 46287?\n\"Answer: -y**3 - 3*y**2 - 55*y + 47162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 710?\nAnswer: 7810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -10*h - 11. Let r(w) = -7*w - 7. Let s = 211 + -204. What is s*r(j) - 5*n(j)?\nAnswer: j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*b - 34*b - 40 = 0. Solve r + 9 = b*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/48343 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.169009 decades in centuries?\nAnswer: 0.2169009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -289 - -286. Let x = 3 - -12. Let p = x + -10. Sort k, 1, p.\nAnswer: k, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000029358 rounded to 6 dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.928, 0.1, -0.3, 3, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/14 + 228\/42. Suppose q*s = -3*z - 0*z + 141, 2*s = 4*z - 188. Let a = -23 + z. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*s - 9 + 1345*s**3 - 13 + 22.\nAnswer: 1345*s**3 - 139*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/384 and -139\/24672.\nAnswer: 98688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 274*z**2 - 7*z - 3. Let n be s(3). Let u be n\/6 + (1 - 3). Suppose 0*q = -5*p + 5*q + u, -3*p = 4*q - 236. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 0*j - 4*j)*(j**3 + j**4 - j**3).\nAnswer: -7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 b when four letters picked without replacement from kwrtwwkrkwkbkb.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 9*u**2 - 12*u - 12. Let p be i(10). Is p bigger than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -268.2931 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**5\/30 + 19*o**2 + 2. Let u(b) = -b + 25. What is u(z(t))?\nAnswer: -2*t**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3564036 and 420?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133 + -127. Let f(t) = -6*t**2 - 2 - 2*t**2 - 3*t**2 - 11*t - 5*t**3. Let c(u) = -3*u**3 - 6*u**2 - 6*u - 1. What is w*f(n) - 11*c(n)?\nAnswer: 3*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q - 1. Let n(j) = -11*j - 5. Let y(m) = -25*m - 11. Let o(d) = 9*n(d) - 4*y(d). Give -4*f(g) + 7*o(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 218 = -4*p, -256*l + 259*l - 11*p = -825 + 248 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13080 - 13128 = 16*r - 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/((-2280)\/530))\/((-4)\/(-3)) and 6\/15 - ((-302)\/(-55) - 0).\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, c: 5}. Give prob of sequence wcww.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 14*o**2 - 60*o - 84. Is n(27) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5 - 7*c**4 + 2*c**3 + 14*c**2 - c - 7.\nAnswer: -(c - 1)**2*(c + 1)**2*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 55, -104, -66, 0.4?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - (-38 + 14 - 3)) + -12 + 0\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -91883678*s**3 + 168259556 wrt s?\nAnswer: -275651034*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 - d**2 - d**2 + (140*d - 377 + 377)*(10 + 138*d - 10 + (0*d + 4*d - 5*d)*(0 - 4 + 2)).\nAnswer: 19601*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111101000111100100 (base 2) to base 15.\nAnswer: 20c80a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*(-7 - 2))\/1. Let u be (-26)\/117 + (-17730002)\/j. What is u rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from neppnewpeq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mum when three letters picked without replacement from fxmffxmumixfmfm.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(23\/4))**(1\/15)\/(l\/l**(-8\/7)*l*(l\/(l**(-22)\/l)*l)\/l) assuming l is positive.\nAnswer: l**(-11239\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325212840, -650425677, -975638514, -1300851351, -1626064188, -1951277025?\nAnswer: -2276489862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -28*m**2. Let h(a) = -a**3 - 5*a**2 + 6*a. Let r be h(-6). Let u be 39\/3 - -3 - r. Let z(p) = u*p - 6*p - 9*p. Give z(v(g)).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -571*i + 1719. Let j be w(3). Does j = 269\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-7)*3\/6. Let w(m) = 5*m**3. Let t be w(1). What is the second biggest value in t, d, -4\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.47187 minutes in nanoseconds?\nAnswer: 388312200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9411902 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + (4*sqrt(68) + sqrt(68))**2 + 5) + 6*(5 + (sqrt(68) - (1 + sqrt(68) + sqrt(68))*-2)**2).\nAnswer: 240*sqrt(17) + 13660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 16*g + 60. Let a(l) = 5 + 2923*l**2 - 8 + 19 + l + g*l. Let t be a(-8). What is t rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 30. Let v = -2 - y. Let d = -10 + v. Do 0.1 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 709 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-14) + (-32)\/14. Let t be (-1)\/(-2)*c*3. Let i = 6 + t. Solve -i = -2*h + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15856983 divided by 1761887?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 81 + 714 = 0. Let l = v + -85. Let f(d) = -d**3 + d**2 - d. Let u be f(-2). What is the greatest common divisor of l and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 3*m - 5*m)*(19*m - 24*m + 21*m)*(2*m**3 - 8*m**3 + 3*m**3).\nAnswer: -96*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8*p + 3. Let t be d(-3). Let g be 10\/4 - (-1)\/(-2). Suppose g*u + 4*h = -u + 4, 4*u = -h + t. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 943 in 1.7, -20, -9\/10?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64182.66 litres?\nAnswer: 64182660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 8:02 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1429?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5 - 7. Let c(j) = 4*j - 2. Let v be c(i). Suppose -2*m + 103 = 3*d, -2*d + 2*m = v - 86. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - h**2. Let i be x(-1). What are the prime factors of i\/(-8) + (-38)\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*c = 271*c + 11769 + 3112 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -57. Let b = a - 21. Let j = 67\/105 - 5\/21. What is the second biggest value in b, j, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 71, 68, 67, 68, 71, 76, 83?\n\"Answer: g**2 - 6*g + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 26*z**2 + 3*z + 82. Let o be g(-26). Solve -4*n - 8 = -2*c, 72*c + o = -n + 73*c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 1 = -2*p, m = -2*p + 3 - 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5334843 is divided by 2667402?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*h - 3325, -4*h - 169 - 496 = -y. Let z = y - 439. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77733 (base 12) to base 10.\nAnswer: -158295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/5 + 294*x**3\/5 - 62457*x**2\/5 - 682668*x + 80875260.\nAnswer: 3*(x - 86)**2*(x + 135)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -535, -1069, -1603, -2137, -2671?\n\"Answer: -534*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 8) to base 2\nAnswer: -1001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*j + 3 = 0, j = -h - 0*j. Solve v = -2*m + 7, v + 1 = -h*m + 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 6516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000014992 to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2963767*a**5 + 922*a - 1691 wrt a.\nAnswer: 59275340*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8698 = -7*q - 501. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796006891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 5*k - d, 3*k + 3*d = -2*k - 116. Let r = k + 498. Calculate the highest common divisor of r and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1310 = 6150. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -233 + 465\/2. What is the closest to l in -0.2, 1\/4, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45120863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {p: 1, e: 1, u: 2, w: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37673 and 1119?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 12. Let w(z) = z**3 - 9*z**2 + 11*z - 11. Let u be w(8). Suppose m + u = -m - c, -3 = 3*m - 4*c. Put d, m, -2 in descending order.\nAnswer: d, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -671673.0426 rounded to the nearest 10?\nAnswer: -671670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23865 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 19 - 6)*(i**5 + 0*i**5 - 4*i**5).\nAnswer: -75*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 61 = -2*g, 213398*g - 64 = 213396*g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40144 and 629408?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 387 = 1179. Solve -5*y + k - 79 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35899 a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-432)\/(-44) + (-4)\/(-22). Suppose -24*k + d*k = 546. Sort -5, 4, k in decreasing order.\nAnswer: 4, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397614400 rounded to the nearest one hundred thousand?\nAnswer: 397600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 + 80 + (-1 - -13) - 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2*(6 + 2). Suppose -j = f - 5*f. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*l**2 + 3 + 1)*(2*l + 2*l**3 + 2*l - 5*l) + 10*l**3 + 4*l**5 - 10*l**3.\nAnswer: -2*l**5 + 5*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) + sqrt(1900)*4 + -4.\nAnswer: -4 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (198\/24 - 8)\/(30\/(-96)). Let z be (-8)\/16 - (-11)\/2. What is the biggest value in -1\/4, -5, z, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l**2 - 46*l - 111. Determine b(0).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 4*y + 4*y)*(-5*y + 4 + y + 2*y).\nAnswer: 2*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**4 + 4850*w**3 + 746620*w**2 + 30467710*w - 98254065 = 0. What is w?\nAnswer: -791, -91, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6535530 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2123 is divided by 1049?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -0.43 (c) 4 (d) -7\/6 (e) 174\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 0) + (-3 - -6) - -2. Suppose 3638 = 3*y + p, p - v*p = -4*y + 4857. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*y = -4, -4*j + 5 + 15 = -4*y. Let g = -7 - -11. Solve 0 = 4*r - j*i + 3*i - 5, 0 = g*r - 2*i - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 + -101. Suppose -a*b = 2*r + 18, -5*b - 4 - 1 = 0. Let g be 4 - (r\/2 - 21). Which is smaller: 30 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-648)\/378*14\/15?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13165058?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 1086 = 9*o. Is o + (-4)\/(-10) + (-156)\/65 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 5)*(200*x**2 - 315*x**2 - 59*x**2) + (-x + x - 2*x)*(4*x + 0*x - 3*x).\nAnswer: -524*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 1 + 1 - 2*b + 3*b. Let n be m(2). Suppose -2 - 22 = -n*q + 3*f, 5*q - f - 30 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-5))\/(72\/225). Let n = -3.2 + -0.8. Let y = -2 - n. Which is the closest to y? (a) 0.5 (b) o (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -133 - -191. Calculate the remainder when s is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(1\/3)*h**10\/h)\/(h\/h**(-1\/2))**27 assuming h is positive.\nAnswer: h**(-175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, x: 2, z: 2, y: 1, t: 8, q: 1}. What is prob of picking 3 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 956568 is divided by 135869.\nAnswer: 5485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s - 118. Let u be f(23). Let r(m) = 5*m + 2. Let t(j) = -j. Calculate u*t(v) - r(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, p: 11, q: 1}. What is prob of sequence bp?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-12225)\/(-60) + (-1)\/(-4) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 - 0.01236?\nAnswer: -0.02236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/4)\/(((-924)\/16)\/11). Let x be ((-2)\/(-20))\/(215\/30 + -7). Which is the nearest to n? (a) -0.1 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 - 109. Suppose -5*u - 15 = -4*h - 2, -3*h = -u - 7. Let p(o) = 8 + 3*o**h - 2*o**2 + o + 10. Calculate p(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -700900, -1401789, -2102678, -2803567?\nAnswer: -3504456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.14 (b) 9 (c) 1772 (d) -2 (e) 5 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-19668.\nAnswer: -19668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 1:04 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amfl when four letters picked without replacement from {f: 4, m: 7, l: 1, a: 2, g: 3}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*x**2 + 3*x**2 + 11*x**2 - 3*x + 14*x**2.\nAnswer: -13*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47538676.\nAnswer: 2, 547, 21727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 933904661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*v - 0*t + 23, 0 = -2*v - 4*t + 28. Let h be v - ((4 - 8) + 12). What is the common denominator of (-65)\/h*2\/4 and -43\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -22*x. Let f be o(-1). Let j(v) = v - 11. Let r be j(16). Suppose -k - r = -8. Solve 3*z = 3*a + 18, 0 = 4*z - k*a - f - 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -429*q - 2 + 78*q**2 + 199*q + 229*q in the form c + z*q**2 + s*q and give z.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u**2 + 7*u - 5. Let i(x) = 8*x**2 + 6*x - 4. Let j(y) = -5*g(y) + 6*i(y). Let c(d) be the first derivative of j(d). Is c(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-134)\/63*(-11160)\/(-2976) - (-10 - -2)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/45 + 3868\/15. Suppose c - 290 = -2*w. Solve 2*d + 2*d - w = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.032, -4, -6, -2, 17428?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -533.0298 - -533. Let i = -0.0702 + w. Which is the closest to i? (a) -2 (b) -4 (c) 3\/5 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4548.4 * 1.\nAnswer: 4548.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 - 16 = 0. Let a = f + -7. Let z(w) = 6 - 4 - 1 + w + a. Determine z(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6184 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhchhhfeefccfeh. Give prob of picking 2 h and 2 e.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 2*y**2 + 3*y - 3*y - 18.\nAnswer: y**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -52, -3\/5, 0.01, 65?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*v - 39*v + 21112. What is the greatest common factor of v and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4104 or 110812\/27?\nAnswer: 110812\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 29008*z - 1135. Is u(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -170*((-10)\/4 - (0 - 2))?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/54 - ((-1)\/1 + (-9)\/(-27)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 34*n + 10. Let f(g) = -37*g - 11. Let v(l) = 6*f(l) + 7*r(l). Determine v(-3).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6972 and 437742.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -102, -5, 418, -4, -15, -3 in decreasing order.\nAnswer: 418, -3, -4, -5, -15, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**4\/5 - 4*g**3\/5 + 4*g**2\/5 + 16*g\/5 = 0.\nAnswer: -4, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 342770 and 10818.\nAnswer: 353588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k**2 + 2*k**2 - 6*k**3 - 96*k + 94*k to s*k + n + h*k**3 + l*k**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17828020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 21.992 and -654.995777.\nAnswer: -633.003777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 2*f + 86. Let g = f + 41. Do g and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7784.445 nanograms in tonnes?\nAnswer: 0.000000000007784445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/2 - 201*l**2\/2.\nAnswer: -3*l**2*(l + 67)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/11 in -0.01, 0, -3\/7, 1\/3, -4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 373*n**2 + 29990*n + 136. What is m(-68)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.3, 209, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38462.\nAnswer: 2, 19231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(10\/3)\/m)\/(m\/(m\/m**20)))\/(((m*m\/((m*m*m**(-1\/11))\/m))\/m)\/m*m*m**(2\/41)\/m) assuming m is positive.\nAnswer: m**(-21386\/1353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0125575 to four decimal places.\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6 + 2*x - 7 + 22 - 4*x**2 - 10. Let u(z) = 8*z**2 - 5*z + 3. What is 5*o(i) + 2*u(i)?\nAnswer: -4*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 2.\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 13*a - 78. Suppose 0 = 5*b - 289 + 259. Let s be c(b). Sort 5, 123, s in increasing order.\nAnswer: s, 5, 123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, -1\/11, 1\/3 in descending order.\nAnswer: 3, 1\/3, -1\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.51 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3587 - 10*n - 10766 + n**2 + 3583 + 3578. What is x(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**6\/120 - r**5\/60 + r**4\/12 - r**3\/2 + 46*r**2. Calculate f(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -77920621, -77920614, -77920607, -77920600?\n\"Answer: 7*q - 77920628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 43015968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -4. Sort -4, 2, q, 5.\nAnswer: q, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -319, -383, -447, -511, -575, -639?\n\"Answer: -64*j - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -314 + 124. What is the greatest common factor of r and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 242419374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 9*v + 10. List the prime factors of t(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.02 or 397?\nAnswer: 397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -22\/5. Let l = 6 - 5.9. Let i be (-1 + 13)*(-2)\/(-28). Which is the nearest to j? (a) 1 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 5:10 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-27)\/15)\/((-1)\/(-335)). Let z = 939 + b. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 = 3*k. Let n be 3 + -7 + (-36)\/k. Is n at most -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 123*a**2. Let m(z) = 154*z - 385. Let o(t) = 13*t - 33. Let n(v) = 3*m(v) - 35*o(v). What is h(n(b))?\nAnswer: 6027*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 + 586*k**2\/3 - 74965*k + 5752236.\nAnswer: (k - 141)**2*(k + 868)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6919539 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 344*h**4 - 115*h**4 + 139*h + 2*h**3 - 138*h in the form x*h**3 + i*h**2 + q*h + l*h**4 + m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -798 + 1173. Suppose -v + 75 = -3*f, 0*f = -5*v + f + k. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4703939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-117)\/(-52))\/(3\/4). Let n be ((90\/25)\/v)\/((-6)\/20). Let c be 290\/40 + 1*1\/n. Calculate the greatest common divisor of 77 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3818, 3817, 3816, 3815, 3814?\nAnswer: 3813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -115?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11542.\nAnswer: 2, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -335 by -1366700.\nAnswer: 67\/273340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/13374 and -31\/36.\nAnswer: 26748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -1556?\nAnswer: -6224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1. Let x(f) = -15*f + 8. Give 2*k(z) - x(z).\nAnswer: 15*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 58?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 7. Suppose 2*t = -l + 15, -l + p*t + 34 = 2*l. Let d be ((-18)\/(-12))\/(1\/(-2)) - -29. What is the highest common divisor of d and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 5*c + 12, 18*c = w + 17*c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + ((-3)\/5 - -4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/18*-4*2. Let b(k) = k**2 + 3*k - 22. What is the remainder when 23 is divided by b(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*y - 115*y = 671296. Is 99 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 24\/144229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 332242320 (base 5) to base 11\nAnswer: 8a8928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, j: 2, l: 3, f: 1, u: 6}. What is prob of picking 1 a, 1 l, 1 f, and 1 u?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**4 - 4226559*k**3 + 11*k**2 + 298*k + 56.\nAnswer: 24*k - 25359354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 181075000 rounded to the nearest one million?\nAnswer: 181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2967 = -10005*q + 9951*q + 2541 for q.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**5\/10 + u**3\/2 + 2*u + 1. Let n(i) be the first derivative of x(i). Find the second derivative of n(s) wrt s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217 + 180 - (3 + -3)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 9:24 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-24))\/((-1)\/36). Suppose -4*m = -128 + w. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -2*c - 42 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**3 + 42*t**2 - t + 5. Let a(p) = -6*p**3 - 51*p**2 - 5. Let r(d) = 6*a(d) + 7*u(d). Give r(-12).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-9))\/(82\/(-615)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747354?\nAnswer: 2, 3, 17, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -22. Let b(s) = s**3 + s**2 + 34. Suppose 6 = -4*i + 42. What is the remainder when b(k) is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10322213 - 3?\nAnswer: 10322210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1282986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c + 27. Let p be 33\/c + 2\/(-9). Let v(q) = q**3 - 5*q**2 - 2*q + 5. Let k be v(5). Sort -3, p, k.\nAnswer: k, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 165665.06 - 165632.059949. Let p = 15 + -48. Let x = h + p. What is x rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 6*v**2 + 2*v - 7. Let o be t(6). Let c(b) = -b + b**2 + 13 - 4*b - 12. What is c(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - u = -896, u - 892 = -2*t - u. Suppose i + 709 = 3*c + 5*i, 3*i + t = 2*c. Calculate the highest common factor of c and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10 + 0 - -3)*(11 - 6). Which is greater: -36 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2 - 4. Let v be t + (-6)\/2 - -7. Suppose -4*o + 2*n + 3 = v*n, -3*o + 5*n = -46. Solve 2*u = o*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-90)*-5)\/(3\/12).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70801*b**2 - 11*b - 1998 wrt b.\nAnswer: -141602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 4, 7\/20, 59, 5\/4 in decreasing order.\nAnswer: 59, 4, 5\/4, 7\/20, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13757\/4 - 3460. Let t = 1929 + -3949\/2. What is the common denominator of t and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230066 - 0.054\nAnswer: -230066.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 449 = 311. Is 28 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -390596.981\nAnswer: -1562387.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20011905*h**2 - 2909095*h wrt h?\nAnswer: 40023810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ennynbebbhe. Give prob of picking 2 n and 1 e.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.17 times 112?\nAnswer: 2483.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 659689?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 9, 2, -4, 0, 5 in ascending order.\nAnswer: -85, -4, 0, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 113*f - 740 + 264 = 0. Let a(n) be the first derivative of 0*n + 9\/4*n**f + 10*n**2 - 1 + 0*n**3. Find the second derivative of a(t) wrt t.\nAnswer: 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, -4, 3, -19, -337 in decreasing order.\nAnswer: 3, 0, -4, -15, -19, -337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 191*g**2 - 82*g**2 - 94*g**2 + 1 to n*g**2 + y + o*g and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c - 2ba?\nAnswer: -28e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*s = 19, -13 + 4 = -3*s. Suppose -5*d = c - 37, -d = -6*d + 5*c + 55. Let g be 24 - d\/2 - l. Calculate the greatest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101011000000 (base 2) in base 7?\nAnswer: 25652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) -0.2 (b) -1\/9 (c) -95\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -864.87 - -7.87. Let k = -860.99 - u. Let q = k - 0.01. Which is the fourth smallest value? (a) q (b) -1\/6 (c) -1\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/26 and 40\/297.\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 - 30. Suppose 0 = 2*g - 5*g + 2*a + 31, 2*g - a = d. Find the third derivative of 9*t**4 + 6*t**6 - g*t**4 - 7*t**2 wrt t.\nAnswer: 720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 0 - 17*c**2 + 12*c**2 - 2*c + 12 + 1 + c**3. Determine s(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, v: 2, g: 1, d: 1}. What is prob of sequence gv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + b**2 - 2*b + 19. Let v be k(0). Suppose v*t - 70 = 9*t. Let x(h) = h**2 - 5*h + 10. Determine x(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6460194 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408001?\nAnswer: 11, 29, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -704, -1814, -3560, -6038, -9344?\nAnswer: -13574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 5. Let a(z) = 10*z - 3 + 4*z**l - 5 - z**3 + 2*z**2. What are the prime factors of a(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1022 + -948. What is the remainder when 517 is divided by q?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 58 = -162. Let i(a) = 15*a - 44. What is the tens digit of i(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from nsnchaiinis.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15402 (base 6) in base 15?\nAnswer: -b32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*l - 13122 - 2048 = 0 for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) 15.47 (b) -0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x = -4*q - 7, -16 = 4*q. Solve 8*j - x*j = 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1107 and 820?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/5 - 26*h**2\/5 - 169*h\/5.\nAnswer: -h*(h + 13)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-35) + 8\/5. Let s(f) = 0*f**2 - 1 + 0*f + 3*f**2 + f + 2. Does 6 divide s(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 29*i**2 + 154*i + 721. Determine h(-33).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*n + 5542 + 532 = 970 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**2\/4 - 90*s - 149929\/4 = 0. Calculate s.\nAnswer: -247, 607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2530*r - 229*r - 5143 - 642*r**3 - 648*r**3 + 1292*r**3 + 474 wrt r.\nAnswer: 6*r**2 + 2301","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44581800 to the nearest 1000000.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 144, 2\/151?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 51. Let c = g + 18. Calculate the smallest common multiple of c and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(17) + 2 + 2)**2 + sqrt(17) + ((sqrt(119) - ((1*(sqrt(119) - sqrt(119)*1) - sqrt(119)) + sqrt(119))) + sqrt(119))\/sqrt(7).\nAnswer: 29 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18852, 65563, 143408, 252381, 392476, 563687, 766008, 999433?\nAnswer: 1263956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-240))\/((88\/528)\/(1\/(-1))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -14 - ((-2 - -12) + 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -20. Calculate the highest common divisor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k**3 + 2*k**2 - 4*k. Let b(m) be the first derivative of -2*m**4 - 2*m**3\/3 + 3*m**2\/2 - 72. Give -7*b(y) - 6*j(y).\nAnswer: 2*y**3 + 2*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-345)\/35)\/(-16 + 1989\/126) and 562.\nAnswer: 12926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (5 - 61) + (-2 - (10 - 15)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkk when three letters picked without replacement from fkkkkkkfbkbkk?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*f - 29*f + 110 = 25 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 15)*(-4)\/12. Let u be 2*((g - -4) + -1). Let h be u\/(-14) - (-24)\/(-14)*-8. Calculate the highest common divisor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -3*c + 7*g - 9*g, 0 = -2*c + g + 62. Let o = c + 91. List the prime factors of o.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6*v + 4*o - 391 = 0, o = 1. Let k = v + -106. What is the highest common factor of k and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3079 divided by -93254.\nAnswer: -3079\/93254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 756\/182 - 2*1\/13. Suppose 2*b = -v*g - 115 - 9, 0 = -b - g - 58. Let z = -854 - b. What is z rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l, 44 = -2*n - 4*l. Suppose 5*x - 72 = -2*w, -4*w + 3*x = -2*x - 84. Let f = n + w. Solve f*k = k - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 163109800 and 1400.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, u: 2, w: 2, f: 2, e: 1, z: 3}. Give prob of picking 2 z and 1 e.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 307, -1205, -61.\nAnswer: -1205, -61, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 8:44 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efzddddddddefddebddd. What is prob of sequence ebz?\nAnswer: 1\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.8 - 17. Let x = t + -1. Let z = x + -3. Which is bigger: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/(43428\/726))\/(1\/2).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.2 (b) -2 (c) -2\/21 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 0*r**2 - 4*r + 4 - 4*r**2 + 5*r**2 + 0*r**2. Suppose 0 = 2*g + 6, -2*c + 0 = 3*g + 3. Calculate the least common multiple of d(c) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19510 + -19506. Put -1, 13, x, -3, 27 in increasing order.\nAnswer: -3, -1, x, 13, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -2200?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.812 - -0.188. What is the smallest value in w, -11, -2\/15, -3\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0692 - 0.1692. What is the nearest to -8 in j, 2, 1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 9:09 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + -477?\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 26. Let f = 0.2 + -0.1. What is the closest to 1\/3 in -3\/4, c, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8*d + 10 = 0. Suppose 0 = -u - d*u + 36. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1249668 is divided by 921.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 24 = -2*p, -8*p = -3*p + 3*o - 60. Calculate the highest common divisor of p and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9371996\/189 + -49587. Calculate the common denominator of l and 56\/2565.\nAnswer: 17955","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 90 = 7*d - 2*d - 0*p, -4*d - 5*p = -722 + 780 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 845*u**2 + 15*u - 30 wrt u.\nAnswer: 1690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z**3 - 14*z**3 - 35505*z**2 - 45*z + 45*z.\nAnswer: -35*z**3 - 35505*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 12:04 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 122221220?\nAnswer: -122221201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106019\/20 - 5305. Find the common denominator of s and (-1)\/(-7)*134\/(-10).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -32, -2, -4.\nAnswer: -32, -16, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8900 and 5958275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21143, 42280, 63415, 84548, 105679, 126808?\n\"Answer: -u**2 + 21140*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -277*x - 48*x + 38*x + (4 + 1 - 3)*(2*x + 2 - 2)*(-12 + 3 + 1).\nAnswer: -319*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5 + 468*t**4 - 12702*t**3 + 23548*t**2 = 0. Calculate t.\nAnswer: 0, 2, 29, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + 52*v**2 + 26*v + 36. Let m(g) = 3*g**3 - 52*g**2 - 22*g - 35. Let j(x) = 4*m(x) + 5*n(x). Does 9 divide j(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6\/17*j - 4\/17 - 14\/17*j**3 + 24\/17*j**2 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -112 and -0.09054.\nAnswer: 10.14048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 15*y - 20. Let a(i) = -5*i + 4*i - 424 + 427 - i. Calculate -20*a(s) - 3*p(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 9*q**4 + 4*q**3 - 25*q**2 + 5. Let u(w) = 11*w**4 + 3*w**3 - 26*w**2 + 4. Let h(x) = -2*m(x) + 3*u(x). Find the third derivative of h(o) wrt o.\nAnswer: 360*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.6819094 months to years.\nAnswer: 0.22349245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m + 13*y - 265 = 16*y, 8 + 2 = m + 2*y for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/39*13*(-1)\/(-5).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0732 + -6.4968. Let g = d - 1.33. Let q = 7.90000198 + g. What is q rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*i = -c + 16, -5*i + 20 = 0. Let z be -101 + 93 - c\/(4\/2). Round z to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.335863 millennia in months?\nAnswer: 112030.356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -15. Let w(c) = c - c**3 - 45 + c + 43 - f*c**2 - c. Calculate w(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1106 and 767.\nAnswer: 84.8302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -80 and 1.385?\nAnswer: -110.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 5*a**2 + 2*a - 6. Let w be b(5). Suppose 0 = -w*i - 3*z + 64, 2*i + z - 10 = 5*z. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 - -56. Let j = c + 42. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 15 = -4*f, -f + 3*o - 1 = 14 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377830076.\nAnswer: 2, 13, 7265963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 15 = 0, 5*c - 4 = -3*f + 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**3\/3 - 2*j**2 - j. Let d be z(5). What is the third derivative of -4*u**2 + 2*u**6 + u**d + u**2 wrt u?\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 9, 14, 17?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + -1*sqrt(66)*3)\/sqrt(6).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/2)\/h)**(3\/35)*(h*h**(2\/7))**(-3\/7))\/((h\/h**0)**(-1\/44)\/(h\/h**(-2))**(2\/7)) assuming h is positive.\nAnswer: h**(3083\/10780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 8 = 4*h, f = h + 16 + 7. Let j(w) be the first derivative of -4*w - 7 + f*w + 256*w**2 - 250*w**2. Differentiate j(i) with respect to i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1179708251 to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -18*r**2 - 3*r + 24. Let u(f) = -f**2 + 5*f**2 + 32*f - f**3 - 33*f - 3*f**2. Let q(w) = d(w) + 3*u(w). Solve q(b) = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4393542147.9708 + -4392782609. Let p = m + -759679. Let f = p + 140. Round f to 3 dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1972763867?\nAnswer: 251, 7859617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 2 (b) 1.2 (c) 8\/13 (d) 3 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7383*s**2 + 5 - 10 + 2*s**3 + 5 - 14642*s**2 + 7259*s**2.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*s - 1631113 = -104*s - 1649871 for s.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from pollooolooopomlmopo?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120101210 - 222?\nAnswer: -120102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 2*f**2 - 3. Let z be -2*-3*1\/(-6). Let o be z\/(-2) + (-21)\/(-14). Let c = 1 + o. Determine d(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -15*z**2 - 27*z + 7. Let b be y(13). Let p = -1486 - b. Suppose -3*l + 2*k + p = 0, -5*l + 459 = -4*l - 2*k. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - 47. Let h = 66 + j. Suppose 0*b + 0*b = h*b. Solve b*s - 3*c - 9 = -s, -5*c + 5 = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29295319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.315081 and 77.4937.\nAnswer: 77.178619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/16 and 17\/24516.\nAnswer: 98064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3459?\nAnswer: 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - (27 - (-23 - -12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from {p: 1, u: 1, c: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 85 = -0*u. Let r = u - 12. Calculate the remainder when 2\/r + 16\/10 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-9) + 220\/18. Let r(q) = -q**3 - 4*q**2 - 2*q - 5. Let c be r(-4). Suppose 0 = -2*b - u + 8, d = 4*b - c*u - 4. Solve -m - b = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 2*v - 5 = 0. Let f be 1*2 + (2 - v). Solve -f*l - 25 = -8*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.2 + 13. Let g = 51\/52 + -3\/13. Which is the closest to h? (a) -2\/7 (b) g (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 79620*n - 79622*n + 24, -2*n + 2 = -7*u - 4 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 19. Suppose 12 = -2*k + 5*n, -3*n + 6 = 48*k - 49*k. What is w(k)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1256, 4 in ascending order.\nAnswer: -1256, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74439*g**2 + 71724*g wrt g.\nAnswer: -148878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 8*w + 500. List the prime factors of (-6)\/(-4) - w\/(-10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, s: 4, b: 3, g: 2, l: 1}. Give prob of picking 1 b, 1 j, and 1 s.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*m - 85 = 0, -3*m = 2*k + 2*m + 55. Let w = 26 - k. What is the common denominator of ((-1)\/(-10))\/(1\/w) and -11\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + x + 25 + 38, 46 = 4*s - 37117*x + 37114*x for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 356\/14 + 6\/(-14). Let h = 5 + d. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 11*h**2 - 11. Let p(v) = 2*v**3 - 21*v**2 - v + 21. Suppose 77 = -10*d + 3*d. Let z(c) = d*f(c) - 6*p(c). What is z(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 261.4 - 261. Which is the second smallest value? (a) 2 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115*a**5 + 26262*a**4 - 393648*a + 14 wrt a?\nAnswer: -2300*a**3 + 315144*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 + (-34 - -33).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 502 + -227. What is the highest common divisor of q and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11616?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(-165))\/(11\/110*(-32)\/(-26))?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/3093 + -25091\/1073271. Let o = x - 27365\/2082. What is the common denominator of o and 23\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -267\/1531, -2, -4, -0.2?\nAnswer: -267\/1531","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = 51 - 75. Suppose -2*w + 6 = 0, k + 1 - 27 = -x*w. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (-82 - -29 - -46)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 + -1.96. Let q = -4068 + 4068.02. Is n bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 times 1\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-7)*p\/p**2*p**(-7)*p**(2\/15))**(3\/47))**(2\/29) assuming p is positive.\nAnswer: p**(-446\/6815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 1.81.\nAnswer: -0.0362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8, 0, 3\/7, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22275907 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 57, 26, -209 in increasing order.\nAnswer: -209, -2, 0, 26, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 minus 8.59?\nAnswer: -6.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 56*f**2 - 10*f + 10. Let l(g) = 37*g**2 - 7*g + 7. Give -7*l(j) + 5*v(j).\nAnswer: 21*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 - 6) + -2 + -2. Solve j + 0 = -d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((54\/(-45))\/((-18)\/(-140)))\/(2\/3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -15*1058\/1380.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15301, 15163, 15025, 14887?\nAnswer: 14749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 710 - 114. List the prime factors of g.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**5\/24 + 2*a**3\/3 - 8*a**2. Let s(t) be the first derivative of k(t). Let x(r) = -3*r**2. Calculate x(s(c)).\nAnswer: -75*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 9328480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/10)\/(-17 - 114342\/(-6180) - 15\/10)?\nAnswer: -103\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -268778210 by 2.\nAnswer: -134389105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9408 is divided by 8777?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136006.\nAnswer: 2, 13, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*s + 229*s - 111*s = 1092 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f**2 - 245*f - 1999. Calculate m(-16).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -27 + -11 + 13 + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.0857237 to three dps.\nAnswer: -8.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2115*j - 766. List the prime factors of f(7).\nAnswer: 101, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -29.7. Which is the closest to 0.1? (a) 1\/6 (b) u (c) 7\/2 (d) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 10*f**2 + 3*f - 1. Let b(l) = -11*l**2 - 4*l + 1. Let x(o) = -2*b(o) - 3*h(o). What is x(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121201122 (base 3) in base 13?\nAnswer: -5720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2263 + 13623?\nAnswer: 16106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*268\/(-8)*1 - -1. Calculate the greatest common factor of j and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1394.\nAnswer: -1\/697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide -6 + 9 + 4824*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 9 = -7*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**5\/120 - k**4\/12 - k**3\/3 + 2. Let s(m) be the third derivative of g(m). What is the units digit of s(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10\/1921, 0.4, -18, -0.3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1)*g\/g**(-6\/23) assuming g is positive.\nAnswer: g**(6\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 345\/25 + -7 + -2. Let l + 38*c**2 - 128\/5*c - 10*c**3 = 0. Calculate c.\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v. Let r(g) = -g**2 + 5*g - 3. Let x be r(2). Suppose -846 = -2*o + m, x*o + 3*m - 596 = 664. Let j(s) = 4*s + o - 6*s - 422. Give n(j(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -0.2, -21 in decreasing order.\nAnswer: 1, -0.2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/128, -23, -2 in increasing order.\nAnswer: -23, -2, 1\/128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.147267 rounded to three decimal places?\nAnswer: -0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 187926535\/4 or 46981635?\nAnswer: 187926535\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38451 by -474.\nAnswer: -12817\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1667 + m**3 - 3*m**2 + m - 3342 + 1670. Let f(w) = -2*w**3 + 5*w**2 - w + 9. Give 3*f(p) + 5*g(p).\nAnswer: -p**3 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c + 11. Calculate h(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 7392?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 29127634 divided by 109\nAnswer: 267226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.7 + 13. Let m = 0.4 + -0.3. What is the nearest to m in f, -2\/3, 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9021*x + 10*x**3 + 9019*x - 57 - 24*x**3 to d*x**3 + a + o*x**2 + c*x and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, x: 2, e: 4}. What is prob of sequence eux?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -829\/55 + 79\/5. Suppose 96 = -20*m + 26*m. What is the common denominator of (-1)\/(1\/1) + 106\/m and x?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*b**2 - 212 - 79*b**2 + 154*b**2 + 212.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/2*6\/9. Is -10 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38160.0016457 + 38160. What is k rounded to five decimal places?\nAnswer: -0.00165","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/7, 72, 4\/9 in decreasing order.\nAnswer: 72, 3, 4\/9, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*7\/448)\/(2\/((-32)\/12)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -279 times 1.08\nAnswer: -301.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, -117, -2\/7, 2\/29?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.46 in -15\/4, 2, -12, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -190*r**3 - 28945*r**2 - 219400*r.\nAnswer: -5*r*(r + 8)*(38*r + 5485)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 20\/31, -0.01, -2\/3, 13, -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-16)*u*u)\/u**11*(u\/(u**15*u))\/u**(-6) assuming u is positive.\nAnswer: u**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 3)*(-4 + 3 - 2)*(-11 - 4*z + 11) in the form x*z + q and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (-3)\/(-6))*(-48)\/(-18). Suppose 126*r = 124*r + a. Solve -2*b = 3*q - 10, 0 = -r*b + 3*q - 5*q + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2254 = -4*t + 2*j, 8*j - 35 = 3*j. Which is bigger: t or 571?\nAnswer: 571","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30129967 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u + 2 - 5*u + 5*u)*(-333*u**2 - 386*u**2 + 300*u**2) to b*u**3 + c + m*u + j*u**2 and give j.\nAnswer: -838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((2\/(-3))\/1)\/(22\/(-99)). Solve k = s*g - 1 - 12, -4*g + 10 = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 less than or equal to -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/4 + 131609*h\/4 + 65805\/2 = 0. Calculate h.\nAnswer: -1, 131610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 234046 divided by -804?\nAnswer: -117023\/402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3001 (base 4) to base 13.\nAnswer: -11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g. Let s(q) = 2*q**2 + 11*q + 5. Let l be s(-5). Suppose 5*u - 2*u - 6 = l. Let i be u + -2 - ((3 - 5) + -6). Let w(c) = c. Give i*w(m) - 5*x(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115947116 and 48004?\nAnswer: 4364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -4*o + 40, o + 0*k + 4*k - 25 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1101724000?\nAnswer: 2, 5, 13, 21187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 141\/5939?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 173900 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3068 (b) 4 (c) -0.1 (d) 2\/275 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugud when four letters picked without replacement from uhuuugugdhgddughh?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 9:42 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -977376*k**2*u**2 + 7973*k*u**2 + 50*k*u wrt k?\nAnswer: -1954752*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 10, s: 10}. What is prob of sequence sss?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*u + 5*u - 16 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 9:21 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*q - 702 = 3*a, 0 = 3*q - 5*a - 418. What is the remainder when 3100 is divided by q?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61 + 82 + 216)*(71*w + 51*w - 2 + 1 + 4 - 11*w) to the form z + i*w and give i.\nAnswer: 26307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.3407 - -0.0393. Let m = 2.38 - t. Let u = 1.1 + -1. What is the smallest value in m, 0.2, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 174 + 1821 = 0. What is the remainder when b is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27b32 + -38?\nAnswer: 27ab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 56*u**5\/15 + 541*u**4\/12 - u**3\/6 - 1590*u**2. What is the second derivative of f(v) wrt v?\nAnswer: 448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3833 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13584 (base 12) in base 10?\nAnswer: 26740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.2, 3\/4, -2, -0.3, 5 in increasing order.\nAnswer: -4, -2, -0.3, 3\/4, 1.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 383665 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2940 + 1704 - 2677 = 301*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 - 3*h**3 - 114*h + 0*h**3 - 90*h**2 - 114*h + 221*h as k*h + r*h**3 + x + z*h**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1701*p - 14932 = 2610*p + 2312 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g**(-3\/11)\/g))*g*g)\/g)\/(((g*g**(2\/33))\/g)\/g) assuming g is positive.\nAnswer: g**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1583*p + 25051 - 25051.\nAnswer: 1583*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = j - 4. Suppose 8*c - 15 = 3*c - 5*x, -j*c = -4*x + 21. Let s be c\/(-3)*1*1. Is s smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3460, -3568, -3676, -3784?\n\"Answer: -108*g - 3352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((-280)\/(-4))\/7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4721*m - 4721*m - 56*m**2 - 112*m**2 + 62*m**2 to the form x*m + a*m**2 + n and give a.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 8:38 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 17. Suppose -a + 4 = 6*n - 3*n, -5*a - 3*n + q = 0. Is 2 a factor of (-2)\/(a - (-7)\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - v**2 + v. Let d be f(1). Let x be ((-28)\/16 - -1) + 1\/d. Suppose 2*i - 4*c - 8 = 0, 20 = i + 4*i + 4*c. What is the biggest value in x, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1800307 millilitres?\nAnswer: 0.0001800307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1500316?\nAnswer: 2, 19, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y - 1. Let x be r(-7). Let f be (6\/(-15))\/(2\/x). Sort -3, 0, f.\nAnswer: f, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 8737650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1878092721?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 5 in descending order.\nAnswer: 5, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**5 + 1457*b**4 - 2*b**3 - 21471*b**2 wrt b.\nAnswer: 240*b**2 + 34968*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 375\/533 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 306.86943 + 5?\nAnswer: 311.86943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 299100587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.121 rounded to three decimal places?\nAnswer: -0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfh when three letters picked without replacement from hffhffffhfff?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -405*v**5*z - 6*v**4 - 2*v**2*z - v*z - 19*v - 3*z + 1 wrt v.\nAnswer: -8100*v**3*z - 72*v**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 16. Suppose -3*u = 5*m - 34, -10 = u - 4*m + 7. Let f(v) = -37. Let t(r) = u*f(r) + 7*i(r). Let l(y) = 2*y**2 + 2*y - 5. Give -l(g) - 5*t(g).\nAnswer: -2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -303334 + 303334. Let s be (-1)\/3 + 2\/(-6). Let j(p) = -p**3 - p**2 + 3*p - 3. Let q be j(-3). What is the second biggest value in q, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 a factor of 69069852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -97*o + 2818. Let l be x(29). Solve -3*h + a = -17, -13 = -l*h - 3*a + 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.76, 6, -5, -1\/3, 10, -3\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -3.3. Let f = r + 4. Let m = -0.02 + -0.28. Put f, m, -2\/11 in ascending order.\nAnswer: m, -2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - (-11 + 12 - 1 - (2 - -2)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-72))\/(4\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 2, 5, 4407 in increasing order.\nAnswer: -1\/4, 2, 5, 4407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 17) + (3 - 5).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 2, -4, 5.\nAnswer: -4, 2, 5, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 223.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + -4805?\nAnswer: -4818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 bigger than 1092\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/15 (b) 0.2 (c) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*o + 14, -9 = 5*o - 2*d + 5. Let a(q) = 3*q**2 - 3*q - 11. Let b be a(3). What is the tens digit of (-1480)\/(-35) + o\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 - 62 + 62 - k)*(111*k - 16*k + 5*k).\nAnswer: -300*k**3 - 100*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*h - 2. Differentiate 4*m**h + 5 - 621*m + 621*m with respect to m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in 0.5, 0.3, -1\/17, 3?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 186782 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**2. Let i(w) be the third derivative of 0*w**4 + 14*w**2 + 7\/20*w**5 + 0*w + 0 + 0*w**3. Calculate i(d(a)).\nAnswer: 336*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/4 + (7 - (-135)\/(-20)). Let f(l) = l**2 + 7*l - 6. What is f(g)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20358844 is divided by 2484.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -831888766 take away -47383.8?\nAnswer: -831841382.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 72.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 169, 180, 191, 196, 189, 164, 115, 36?\n\"Answer: -v**3 + 6*v**2 + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 220 = 4*a, u = -0*a + 2*a - 110. What is the greatest common factor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000417788226 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147 - 154. Let h(f) = 49*f**2 + 10*f - 10. Is h(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 10:53 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d*i**2 - d*i - 16*d + 3*i**4 + 16*i + 2 wrt i?\nAnswer: -8*d + 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 131685039 and 3357?\nAnswer: 3357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 15) to base 2.\nAnswer: 111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3299 = -74*p - 4409 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.34 - 25.340001319. Round t to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(88)*3)\/(sqrt(8) + sqrt(24)\/(sqrt(3) - 1*sqrt(3) - sqrt(3)) + sqrt(8))*1.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 0*p - 3*p + 5*p. Let r(m) be the second derivative of 9*m**3 + 0 + 0*m**2 + 21*m - 1\/6*m**4. Determine r(f(q)).\nAnswer: -2*q**2 + 54*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-90)\/405 + 130\/18. Let z(u) = -u**2 + 6*u + 9. Calculate z(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 15*n. Let h(w) be the second derivative of 131*w**3\/6 + 4427*w. Calculate s(h(o)).\nAnswer: 1965*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/48 and -23\/3597?\nAnswer: 57552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 88 - 13. What is the remainder when j is divided by 8 - 2\/4*0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*o + 52 = -3*u, -3*u + 3*o = -54. What is the remainder when u is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5 - 39*k + 67*k - 32*k**3 + 24*k**2 + 3*k**5 + 3*k**5 - 24 = 0. Calculate k.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5118 - 2.5218. Sort -0.05, t, 120 in decreasing order.\nAnswer: 120, t, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 482292 = 13*t - 5*d, -844121 = -7*t + 5*d. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -153661*o**4 + 61958*o**2?\nAnswer: -3687864*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1002159429 less than -1002159428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 5*g**2 - 6*g + 4. Let l be t(-6). Suppose 5*o - l*j = -2*j, -o = 4*j - 22. Let s(m) = 4*m. What is the units digit of s(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (896*q**3 + 543*q**3 - 493*q**3)*(-3 - 1 - 7)*(1 + 2 - 4 + (-1 - 1 + 4)*(-1 + 0 - 1) + 0 + 3 - 2) as w + f*q**3 + d*q + p*q**2 and give f.\nAnswer: 41624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + b + 81 = 5*t, -t - 56 = 3*b. Let k = b - -22. Solve -5*w + 13 = k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10947 + 19252. Suppose -2*a = -5*t - 5554, 0*a = 3*a - t - d. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 2*o + 0*o + 10)*(57 + 1 + 2) + 0*o - o + 2*o.\nAnswer: -119*o - 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((16\/(-56))\/(-2*4\/140)). Let g be -2 + 3 + 7\/(-4). Suppose s - 9 = -2*s. What is the nearest to g in y, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 19. Solve 2 = -4*w - c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/9))\/d**(1\/5)*d*d**(24\/7)*d*d**(-38) assuming d is positive.\nAnswer: d**(-10078\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 982716*l - 80477561388.\nAnswer: -3*(l + 163786)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 5380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -2 + (3 - (-9 - -6)). Let d(w) be the second derivative of -3*w + 0 + 0*w**3 + 1\/60*w**6 + 0*w**c - 1\/24*w**4 + 0*w**2. Solve d(j) = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 4:19 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13372 + -13370. What is the closest to -1 in d, 2\/21, 0.1, 0.5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302 rounded to the nearest ten?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t. Let h(s) = 3*s**2 - 11*s - 16. Let o be h(10). Let v = 29 - o. Let d = v + 146. Determine u(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 3*v - 2. Let c be k(-1). Let g(t) = t - 55. Let z(j) = -j + 25. Let h(x) = 3*g(x) + 7*z(x). Give h(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044907 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -5*s**4\/12 + 8*s**3\/3 - 32*s**2\/5 - 1291*s. Determine i, given that j(i) = 0.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c + 5*c + 3*c**2 - c - 5. Let d(w) = 4*w**2 + 8*w - 6. What is 5*d(m) - 6*g(m)?\nAnswer: 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-2) - (-120 + 127) - (-265)\/(-45)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -0.083 (b) -3 (c) -4\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a + 12. Let w(o) = o - 1. What is -2*u(m) - 6*w(m)?\nAnswer: -12*m - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 23\/6)*(-8)\/10.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*f - 520, 2*p = -11*f + 12*f + 254. What is the greatest common factor of p and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from hnwyn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, -0.14, 203, -2284, -0.1?\nAnswer: -2284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + h - 1011 = 0, 8*h = -l + 6*h - 211. Let p = 206 + l. Calculate the highest common factor of p and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83213.93 meters to micrometers.\nAnswer: 83213930000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 13*o**2 + 1144*o + 271. Determine i(-88).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -3.7. Let x be ((-4952)\/630 - (-10)\/25) + 2. Let n = 39\/7 + x. Sort n, k, 2, 0.\nAnswer: k, 0, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 196769\nAnswer: -1967690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -1, 0 = 8*b - 10*b - 4*a + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15417008 to the power of 1\/2, to the nearest integer?\nAnswer: 3926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -109 - 42 - (-44 + -10)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) 0.27 (c) -1.09 (d) -7.649\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 522?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express t + 2*t**3 + 2*t**2 + 0*t - 3477 + 3466 as y*t + k*t**2 + s + o*t**3 and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**3 - 1508*i**2 - 56280*i = 0.\nAnswer: -335, -42, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5402 = -4*u, 5*z - 350*u + 354*u = 26938. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 661 - 658. Let j(l) be the first derivative of 7 - 6\/5*l**2 + 12\/5*l + 1\/5*l**z. Factor j(k).\nAnswer: 3*(k - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-88)\/(-28) + (-3)\/21. Factor -8\/5*i**4 - 8\/5 + 24\/5*i - 24\/5*i**c - 2\/5*i**2.\nAnswer: -2*(i + 2)**2*(2*i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -667 (b) -4 (c) 3 (d) 2\/5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4137010 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + 1 - (-76 + (55 - -29))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 182, 1\/7, -268 in descending order.\nAnswer: 182, 1\/7, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 7:01 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 + -2)*1\/6. Suppose -p = 2*u + 4*l - 3*l, 2*u + 5*l + 21 = 0. Solve -5*h + 10 = -u*j, 0 = -5*h + j + 2*j + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43544412 (base 6) to base 8\nAnswer: 4764330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255885626?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/5 - 28448*k**3 + 711166*k**2\/5 - 1137848*k\/5 + 113784 = 0. What is k?\nAnswer: 1, 2, 71115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**3\/4 + 14305*y**2\/4 - 2395250*y - 236278515 = 0. Calculate y.\nAnswer: -87, 1474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.00405365 + 0.004. What is u rounded to six dps?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17396891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n - 10. Suppose 5*d + 2 = -8, -n*d - 84 = -2*c. Round c to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -14, 1, 4.\nAnswer: -14, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -5, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 13 + 21 = 0. Suppose 0 = -x - x + f + 25, 0 = -f - 5. Let r = i - x. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - r = -8, r + 16 = 5*r. Suppose n = k - 1. Solve 6\/5*t**k + 0*t + 4\/5*t**4 + 2\/5*t**2 + 0 = 0 for t.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w)**(-21)\/(w*(w\/w**(2\/37))\/w*w*w*w\/w**(-3)*w) assuming w is positive.\nAnswer: w**(-294\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c - 61. Calculate u(16).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 61*w + 218. Let z(t) = 62*t + 261. Let s(k) = 6*g(k) - 5*z(k). Let c(b) = -31*b**2. Determine s(c(i)).\nAnswer: -1736*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -648 - -956. Let p = i - 261. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -214\/2191 or -1?\nAnswer: -214\/2191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6731, -7544, -8357?\n\"Answer: -813*b - 5918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -7. Suppose 7*g + j*g = -297. Let p = 27 - g. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/18 + -16 + -2 + 14?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -957*l - 8. Is t(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**2. Let t(y) = y**2 + y + 1. Let j(g) = -6*g**2 - 3*g - 119. Let h(l) = -j(l) - 3*t(l). Give h(f(s)).\nAnswer: 48*s**4 + 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3 + 18*u - 21*u + 13 - 4 + 25. Give o(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 11:45 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 130684.\nAnswer: 130684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 5:36 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/200*-2*-5. Let x = -215 + 215.03. Is x less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*w - 1312 - 238 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -17936 and -17940 unequal?\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 ddzzzhhh?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/25)\/(2\/(-10)). Let x be 8 + -2 - (1 - z). Solve -2 = 5*l - x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 123?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/503227?\nAnswer: -5\/503227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/13 and -39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 20 - 2)*(-58 + n + n + 24) in the form k + o*n and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 18 = 3*a, 2*v + 0 - 22 = 4*a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223330030 (base 5) to base 14.\nAnswer: 1bcbb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 736590*k**2*m**2 - 32*k**2*m - 220*k**2 + 15*k + 3*m**4 wrt m?\nAnswer: 1473180*k**2 + 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -124063132 - -5?\nAnswer: -124063124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 238.6 - 203. Let y = -4.8 - r. What is y rounded to zero dps?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**2\/8 - 21*n + 531\/8 = 0.\nAnswer: -59, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 49. Let q = 10.1 + g. What is the closest to q in -1\/12, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*s**5 + 373*s - 2 wrt s.\nAnswer: 640*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3032, -2, 2, -6, 21 in decreasing order.\nAnswer: 21, 2, -2, -6, -3032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k + 1. Let q be h(1). List the prime factors of (-3)\/(3\/(-2))*q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12704.91 + 12649. Let v = r - -22.434. Let u = v - 0.024. What is u rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60.9 + 60.6. What is the closest to -0.01 in 0.1, u, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.0761, -2\/13, 2.\nAnswer: -2\/13, -0.0761, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -243.6 rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/11 + 96*j\/11 + 2720\/11.\nAnswer: -2*(j - 68)*(j + 20)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from {f: 2, l: 11}?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*q**2 - 62*q**2 + 9*q**3 - 52*q**2 + 169*q**2 + 1 to j + o*q + w*q**2 + n*q**3 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 11:21 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 9*d - 11. Let i = 169 + -166. Let t be c(i). Solve 2*a = -2*y - 8, 5*y - 3*a - 27 + t = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*i - t, -4*t - 20 = t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*l = -218*l + 6*l + 11440 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6003 and 705686.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 7*q**2 + 4*q + 4. Let l(x) = -39*x - 4*x**3 + 18*x - 21 - 2*x**3 - 36*x**2. Let w(d) = -4*l(d) - 21*s(d). Factor w(o).\nAnswer: 3*o**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*12\/(-8))\/((-3)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 706 and 377052008?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**3 - 2*k**2 + 5*k + 4. Let g be (620\/(-248))\/(2 + 5\/(-4) - 2). Let u(m) = -2*m**3 + m**2 - 2*m - 2. Determine g*z(f) + 5*u(f).\nAnswer: -4*f**3 + f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 1140*l - 16200.\nAnswer: -4*(l - 270)*(l - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/4)*q)\/(q**(-6)*q))\/(q**(-5)*q**(-2\/9)*q))\/(q**(-3\/5)*q*q**(2\/3)\/q*q**(-1)*q*q**(-3)\/q) assuming q is positive.\nAnswer: q**(2503\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*z - 30 = -47*z. Find the second derivative of z*n - 7*n + 44*n**2 + 25*n - n wrt n.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i + 3*z - 10, 2*z = -5*i + 18. Let g be i\/(-4)*-4 - -1. Let r = 4\/125 + 617\/250. Is g > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 11*g - 1. Let d be l(1). Is (-1)\/2 + 995\/d a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9))\/(((-1)\/9)\/(-10*(-18)\/(-540))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123073.\nAnswer: 23, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1166)\/378 + (2 - 4). Let a be 71\/27 - (-7 - 29)\/(-12). Let b = a - q. Find the common denominator of b and 47\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 407*y + 3 = 3*c + 409*y, 3*y - 4 = -4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 5*q - 2*j + 29, -2 = -2*q - 3*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4989121 is divided by 831519?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38893463509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72 or 57?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14093 is divided by 138?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/f**18)\/((f\/(f\/(f\/(f\/f**(-3\/4)*f))*f))\/f))\/(f*f**(-2)\/f*f**(-1\/3)))**(-10) assuming f is positive.\nAnswer: f**(595\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 3. Let a(m) = 440*m - 9. What is -a(v) + 3*u(v)?\nAnswer: -443*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.75 + 0.05. Let j = -0.5 - d. Let b = 1 + 3. What is the nearest to 1\/3 in j, -5, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 19*d + 9*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12\/2291 + 2343609\/16037. Which is smaller: 145 or a?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1635.\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/(-4*49\/(-84))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -c480a (base 13) to base 11\nAnswer: -221142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 25*u + 11. Suppose -51*y + 234*y = 1098. Let k(t) = 13*t + 5. What is y*r(x) - 13*k(x)?\nAnswer: -19*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -359 + 355. Let c(h) = -h**2 + 3*h - 1. Let m be c(2). Is m*w + (5 - -54) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22 + 4829?\nAnswer: 4807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-2\/15))\/b)\/(b**(4\/3)\/b))\/(b**(-2)\/b**(-1\/7)) assuming b is positive.\nAnswer: b**(146\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 745*u - 22 + 325 = 644*u. Let l(f) = f**2 - 3*f - 3. Let p be l(4). Sort 5, p, u, -6.\nAnswer: -6, u, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3 - 6804*i**2 + 1453690*i - 1446888 = 0. Calculate i.\nAnswer: 1, 228, 3173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8526173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnxnnxnnnnxnnnnnnnx. Give prob of sequence xxxx.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from tbxxscxjcsc.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4*d = o + d + 72 - 102, -4*o - 3*d - 22 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6946164 is divided by 18875?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -127 in 0.2, -0.4, -0.5, 2\/17, 2\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -57\/8, -2, 5 in ascending order.\nAnswer: -57\/8, -2, 3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 57*s + 117. Let q be n(-2). Let m(i) be the first derivative of 1\/2*i**2 + 0*i - 5\/3*i**q - 12. Find the second derivative of m(w) wrt w.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*z = -21*z - 48. Let s(p) = -10*p + 22. Let j be s(z). Let a(u) be the second derivative of -u**5\/20 + u**4\/4 + u**2\/2 - 2*u. What is a(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 9*n - 7. Let t(i) = -i**3 - 9*i + 6. Let o(u) = -7*t(u) - 6*z(u). Find the second derivative of o(p) wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glaabdbgba. What is prob of sequence ag?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 4. Suppose -8 = -2*s + s - 3*d, s - 2 = 3*d. Let a(y) = -1648*y - 12 + 3330*y - 1688*y. Calculate s*a(w) + 14*v(w).\nAnswer: -2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12 - -18 - 10*1\/4. Let j(s) be the second derivative of 0*s**5 + l*s**2 + 0*s**3 + s + 1\/10*s**6 + 0 + 0*s**4. What is the derivative of j(r) wrt r?\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1917*q**4 + 5*q**2 - 3358*q + 5. Let w(l) = 1915*l**4 + 6*l**2 - 3360*l + 6. Let r(m) = 6*v(m) - 5*w(m). Find the second derivative of r(k) wrt k.\nAnswer: 23124*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -4*i - 324, s + 7185 = 3*i + 7272 for s.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -1\/3*u**3 + 0*u**4 + 2\/7*u**7 - 53\/6*u**6 - 4*u**2 - 89 + 0*u**5 + 0*u. Find the third derivative of x(z) wrt z.\nAnswer: 240*z**3 - 3180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(891) + -2 + sqrt(891) - sqrt(891)) + 4)**2 + 0.\nAnswer: 144*sqrt(11) + 14260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 2*f - m, -101 = -2*f - 4*m + 9. Calculate the remainder when 459 is divided by f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -15.53 and -0.5.\nAnswer: -16.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 2*k**2 - k - 3. Let a(y) be the second derivative of -y**4\/12 + 7*y**3\/2 - 5*y**2\/2 + y. Give 2*a(t) - 11*i(t).\nAnswer: -2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (79 - (1 - 5)) + -3. Suppose -2*g + 2*w + i = -0*w, -5*g + 2*w + 185 = 0. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*n - 3, 0 = -4*n. Suppose -l = -4*g - 0 - 5, o*g + 2*l = -12. Let u = 6 + g. Solve 2*z + 5*c - 2 = 0, 0*z - u*c + 12 = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128480117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37, -59, -81, -103, -125, -147?\n\"Answer: -22*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + q - 44 = -28 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + 48. Let y(f) be the first derivative of f**3\/3 + f - 15. Let b(c) = -4*c**3 - c**2 + c - 2. Calculate u*y(z) + b(z).\nAnswer: -4*z**3 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**6\/120 - 7*r**5\/60 - 3*r**4\/8 + r**3\/6 - 15*r**2. What is c(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g + 24. Determine i(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 8, -3940898 + 3940851 = a + 4*z for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 8*v + 131 = 175, 3*j + 3*v + 18 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327084 is divided by 1939?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47540 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 18 = 6*d. What is the remainder when 64 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + 0 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 42*u**2 - 80*u. Let f be z(40). Let s = 4 - -1. Sort s, f, -1 in decreasing order.\nAnswer: s, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 2 - f**3 - 8 + 5. Give l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13\/138 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4452.6 - -4453. Put 4, -5, 31, h, -2\/7 in decreasing order.\nAnswer: 31, 4, h, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**5\/8 + 455*o**4 + 7285*o**3\/4 + 5465*o**2\/2 + 14575*o\/8 + 911\/2 = 0?\nAnswer: -1, 3644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/17560816 and 123\/482440.\nAnswer: 87804080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**2 + 2*v**2 + 2*v**2 - 3*v**2 + 0*v**2 + 2*v**2 + (0 - 3 + 2)*(-2 + 2*v**2 + 2) + (-7*v + 0*v + 4*v + v + v)*(1 - 1 - 6*v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -11276*j + 2514522. What is c(223)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19635007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -125*o**3 - 268880*o**2 - 1620125*o - 1394250 = 0. What is o?\nAnswer: -2145, -5, -26\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -774 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*l - 852*l + 185*l.\nAnswer: -466*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 2*v - 3310. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 187\/12040?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 455*t**3 - 464*t**3 + 0 - 4 with respect to t.\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 + 1)\/(-6 + 2 - -3). Let y be v + 7 + 14\/4. Which is bigger: -1.6 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1193.419 micrometers to millimeters.\nAnswer: 1.193419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*1156\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 724 divide 31117597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b + 35. Let k be p(-19). Does 17 divide 1880\/56 + k\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 470*c**6*s - 5*c**4*s - 2746*c**2*s wrt c.\nAnswer: 56400*c**3*s - 120*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*i + 21 + 32 = 0, -i - 1 = 0. What is the highest common divisor of 400 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 27 = 4*n - 19*m, 2*n + 4*m - 38 = 0. Solve 8 = -3*i + n*t, -15*t + 11*t = -i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-258*y**2 + 123*y**2 + 234 + 133*y**2)*(-2 + 2 + 4*y**2).\nAnswer: -8*y**4 + 936*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 7:52 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -708403 or -708395?\nAnswer: -708403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11467851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**(-2\/3))*o\/((o**(-25)\/o)\/o)*o*o**(-3\/5)\/(o\/o**(-9\/2)) assuming o is positive.\nAnswer: o**(667\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*v - 940, -2*l + 675 = 4*v - 263. Let f be 14292\/(-88)*2 - (-4)\/(-22). Let p = l + f. Is 39 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001010010100010001 (base 2) to base 9.\nAnswer: 3031468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2410, 2423, 2444, 2473, 2510, 2555, 2608?\nAnswer: 2669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 33 = -5*j, -x + 3*j = -5*x - 7. Solve -4*a + 21 = 3*v + 4, -x*a + 5*v - 11 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 g when three letters picked without replacement from ggppipippvppippvg.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92292569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, l: 7}. What is prob of picking 2 l?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**4\/4 + j**3\/3 - 5*j**2 + 8*j - 32. Solve k(f) = 0 for f.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 63.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 - -1. Let o = 13627\/534 + -5\/267. Let v = -26 + o. Which is the nearest to 0? (a) l (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4600591143?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (234\/195)\/(4\/10). Solve -v*z - 12 = 0, 4*w - 4 = z + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 63*x - 8 + 8 + 63*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*u - 4 = 0, -2*r - 3*u = r + 27. Let q(t) = -t + 6. Let m be q(7). What is the second smallest value in r, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 1164*u + 8001.\nAnswer: 3*(u - 381)*(u - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -21)\/(-18 - -20). Suppose -3*v + 77 + r = 0. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2336 = -435*f + 727*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from hyhytyhfhvye.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.134206?\nAnswer: -0.067103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3324354 = 3*m + 440646. What is m rounded to the nearest 10000?\nAnswer: -1260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/18)\/(1*3\/(-9))*(-384)\/64?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.63952 rounded to 2 dps?\nAnswer: 2.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -5*q**3 + 5\/2*q**2 - 6*q + 126. Find the second derivative of j(u) wrt u.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-123808)\/657)\/106*45?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 15. Suppose 3 = -3*l, -4*z + t = -0*z - 3*l. Suppose 0 = z*v + 227862 + 36138. What is v rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 2*r**2 + 30*r - 79. Let o be m(3). Let w(u) = u**2 - u - 1. Determine w(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-25))\/(((-2)\/(-2))\/5). Let a be k\/3*(-14 - -5). Let n(q) = -q**3 + 2*q + 3. Let w be n(a). Calculate the highest common factor of w and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 716 by 179.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206, -886, -2020, -3608, -5650, -8146, -11096?\nAnswer: -14500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 374183639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 33*n**2 - 15*n + 124. Let o(k) = 50*k**2 - 24*k + 186. Calculate -8*b(y) + 5*o(y).\nAnswer: -14*y**2 - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4711164, -4711101, -4711038, -4710975?\nAnswer: -4710912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 0, -5, -16, -39, -80, -145, -240, -371?\n\"Answer: -c**3 + 3*c**2 - 7*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (81 + (9 - 0) + -54 + 52)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = -5*j. Let n(h) = -h**3 + h**2 - h - 1. Let r(g) = -90*g**3 - 3*g**2 + 1. Let i(c) = n(c) + r(c). Is i(j) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 84760.97 millennia?\nAnswer: 847609.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 9:26 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680573 is divided by 1694?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**3\/4 - 169*v**2\/4 + 5119*v\/4 + 5289\/4 = 0?\nAnswer: -1, 41, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/2)\/6 - 1034\/(-66). Suppose -3*k + h*k = 0. Which is greater: k or 8\/19?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 75 (b) 2.4 (c) 0 (d) 259\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*s + 118*s - 455*s + 81*s + 122*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/27)*f)\/(f\/(f*f\/(f**0\/f))) assuming f is positive.\nAnswer: f**(83\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2823990800*d**2 + 1411995396*d**2 + 1411995403*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 484584.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10631 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591.\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10072739 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/12*2864\/47614.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0\/2)\/(-2))\/2. Suppose 2*v - 3*y + 33 = -g*y, 2*v + 12 = -4*y. Let c = 3 - v. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 4*y**2 - 16*y - 1. Let r = 326 + -319. Let v be n(r). What is the greatest common factor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*f = 5*r + 20, -f = -2*r - 7. Let z = 19 - r. Suppose 3*l - 34 = z. Calculate the greatest common divisor of l and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 q when three letters picked without replacement from pppmmpopooomqppqvo?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, q: 1, d: 1, i: 3, t: 1}. What is prob of sequence tq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 + 93 + 2*f**2 - 6*f - 3*f**2 - 44 in the form i + s*f + w*f**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-12 - 8 - -9)) + 18 - (-2 + -1).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -12.237, 5 in ascending order.\nAnswer: -12.237, 0.02, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p. Suppose 5*s = -25, 0 = -3*q + 5*s - 2*s + 45. Let j(v) = 3*v + q - 10. Calculate m(j(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2070*c. Let o(z) = 47*z. Let f(b) = 16*b. Let k(a) = -6*f(a) + 2*o(a). Calculate k(m(l)).\nAnswer: -4140*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234 and 622518?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17212693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 43*v**2 + 46*v - 73. Let l be s(44). Suppose 2*j - t = -2, t + 0 = 2. Suppose 17*a - 12*a - l = j. Solve 3*i = 5*q - 3 - 21, i = -a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14967 - 14965. Solve -a*u - 17 = -3*m, 5*m + 0 = u + 26 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 74*v**2 - 7*v + 4. Let j(x) = 25*x**2 - 2*x + 1. Let a(p) = f(p) - 3*j(p). Let n(i) = -i**2 - 6*i + 4. Determine 4*a(w) - n(w).\nAnswer: -3*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**3 + 34*p**2 - 477*p + 22. Give x(-25).\nAnswer: 1947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.8 - -18. Let f = 73 - 72.9. Put i, 1\/4, f, 5 in descending order.\nAnswer: 5, 1\/4, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -37. What is the common denominator of -75\/2 and s\/(-17) - (-4821)\/204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -178 + 2?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*p + 352 = 264. Let w(s) = -52*s**3 + 8*s**2 - 8*s. Let x(r) = r**3 - r**2 + r. Determine p*w(y) + 8*x(y).\nAnswer: -44*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12992 - 12982. Let m(y) = -4*y**3 - 5*y**2 + 3*y + 10. Let t be m(-5). Calculate the greatest common divisor of t and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 j when three letters picked without replacement from {q: 1, w: 1, z: 10, j: 2}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -10100001000010100?\nAnswer: -10100001000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 721126611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2145 + -2135.83. Let d = l + -0.17. Let x = 11 - d. What is the smallest value in -0.1, -1\/2, x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 165 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -80*x**4 + 280*x**3 - 85*x**2 - 100*x - 15 = 0.\nAnswer: -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.587 + 0.1367429.\nAnswer: -7.4502571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -456 + 455. Sort 2\/7, 0.5, 0.4, u in descending order.\nAnswer: 0.5, 0.4, 2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - -2*1\/1. Suppose 2*y - 5*y + 12 = f. What is the third derivative of 2*c**2 - 4*c**4 + 2*c**y - c**4 wrt c?\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1236 + 52 = 8*b. Which is greater: b or -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -122*k**3 + 2*k**2 + k**3 + 1 - 143*k**3 - k as q*k**2 + u*k + i*k**3 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*l + 4*r - 315 = 69*l, 5*r + 86 = -3*l - l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2 + 9*i + 20 + 27. Suppose 3*q + 0*q = -6*z + 33 + 15, 0 = -3*z. What is the hundreds digit of c(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.4. Let v(m) = -m**2 - 9*m + 15. Let d be v(-10). Let q = -218 - -217.4. Put q, h, d in ascending order.\nAnswer: q, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 5*c**2 - 11444*c - 45768. What is m(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 7*p**5\/60 + 2*p**2. Let s(g) be the first derivative of -g**3 - 51 + 33 - 104. Calculate t(s(n)).\nAnswer: 63*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57246291?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**2\/3 - 494835*c - 1484510\/3 = 0.\nAnswer: -1, 296902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, v: 3}. What is prob of picking 4 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.7. Let o = i + 0.4. Suppose 4 = 2*a - h, -2*a = -0*a - 3*h. Are a and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*7\/42 - (-206)\/1332. Let r = x + -17569\/6660. What is the common denominator of r and -89\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 945?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 0 - (83425\/(-4899) - -2)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 424 - 15. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**2\/2 + 4*k + 1. Let c be (-1 - -1) + 8 - (42 + -38). Let h(y) = -y - 7. What is c*h(m) + 7*w(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273519 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.06362 - -2\nAnswer: 2.06362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -6)*(3 + -1). Is 3\/(-9) - 220\/c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23876 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - d**2 - 2*d + 43. Let i be r(0). Let j be i\/7 - (-11)\/(-77). Let x be (6\/234)\/((-2)\/j). Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = 2*m + 163. Let c = 0.21 + -0.17. What is the closest to 1 in m, c, -0.7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*3\/4)\/(108\/144)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 12 = 18*a. Let i(v) = -607*v**2 - a + 305*v**2 + 3 + 303*v**2. Let c(o) = 27*o**2 - 3. What is c(i(k))?\nAnswer: 27*k**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 20*g - 15*g - 4*r, -4*g = r + 7. Let v = 29 - 17. Let s = 2 - v. Put -3, 4, s, g in increasing order.\nAnswer: s, -3, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137.6763574 rounded to the nearest integer?\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 3*d - 17. Let x be c(6). Solve 3*u = 2*w + 5 + 8, -4*w + u = x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15092 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1658483355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 5. Let f be c(5). Let h = 0.37 - 2.77. Let t = 2.5 + h. Which is greater: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 1\/24167 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15996 divided by -3999.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + 20 = 0. Let z(m) = 4*m**2 + 7*m + 7. Let a(b) be the first derivative of -b**3\/3 - b**2 - 2*b + 123. What is l*z(o) + 14*a(o)?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 452, 1527, 3614, 7049, 12168?\nAnswer: 19307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -65?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d = -8, 3*a = -3*d - 30. Let g be (4 + (-11)\/3)\/((-1)\/a). Let o(u) = -u**2 + 14*u**2 + 6*u - 7*u**g - 5*u**2 + 2. Give o(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 254 = 870. Let m = 350 - w. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -11*d - 217 + 445 - 213. Let y(g) = 5*g - 8. Calculate 6*s(a) + 11*y(a).\nAnswer: -11*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1*sqrt(420) - sqrt(420))\/sqrt(12))\/sqrt(5).\nAnswer: -2*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319849851 to the power of 1\/3, to the nearest integer?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1934081646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45011741*n**2*v - n*v - 226645*n - 2*v - 3 wrt n.\nAnswer: 90023482*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 166153 and 2072?\nAnswer: 344269016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-9))\/(1 + 40\/(-36)). Sort 5, u, -2, 1 in decreasing order.\nAnswer: 5, 1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*n = 29, 2*h - 18 = 3*n - 6*n. Let f be ((-235)\/h)\/(1\/3). Let b = f + 2117\/9. Which is greater: 0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v - v + 4*v + (4 - 1 - 1)*(4*v - 6*v + v) - 2*v - 5*v - 4*v to p*v + k and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 13*w**2 + 4*w - 5*w - 10 + 0*w + 11. Let r = 0 - -1. Give u(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16444.399 times -8?\nAnswer: -131555.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*o**2 + 11*o**2 - 3*o + 22*o**2)*(4*o**3 - 2*o**3 - 4*o**3 + (0*o**2 - 5*o**2 + 4*o**2)*(-o + 4*o - 2*o)).\nAnswer: 39*o**5 + 9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.062 * 26\nAnswer: -1.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgtggg. Give prob of sequence gt.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 17. Calculate the greatest common factor of h and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 17*s**3 + 2*s**2 + 2*s. Suppose 3*t = 4*j - 688 + 680, -5*t = -2*j + 4. Let h(y) = -120*y**3 - 15*y**2 - 15*y. Give j*h(k) + 15*b(k).\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.617, -0.3, -2\/11 in descending order.\nAnswer: 0.617, -2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*a + 21*a - 2 + 22*a)*(-2 + 11 + 4)*(3 - 6 + 1).\nAnswer: 104*a + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154841 is divided by 591?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 968 - 950 = -3*c - b, 3*c - 54 = 5*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 9:21 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 4672.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(550) + (sqrt(550) - (2*sqrt(550) + sqrt(550))))\/sqrt(11)*6)\/((1*sqrt(100)*1)\/((sqrt(70) - sqrt(70)*-2)\/sqrt(7) + sqrt(10))).\nAnswer: 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/18 - 2)\/(9 - (-344)\/(-32)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g - 4*g - 6*g + (-3*g - g + 0*g)*(2 - 5 + 2) + 2*g + 3*g - 2*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*h - 10. Solve -1 = 3*u - h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -13*w - 5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 (base 5) in base 8?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 172886219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**3 + 138*s**2 - 16*s - 909. Calculate v(-46).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57659?\nAnswer: 7, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -119\/376102?\nAnswer: -119\/376102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 - a**2 - a + 1. Let p be x(2). Suppose 2*g + 13 = -t + 6*g, p = -3*t + 5*g. Suppose -16 = t*s - 4*s. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 20*u**3 + 11*u**2 + u - 17. Let i(t) = -27*t**3 - 13*t**2 - 2*t + 18. Give -4*a(f) - 3*i(f).\nAnswer: f**3 - 5*f**2 + 2*f + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -503362, -996259, -1489154, -1982047, -2474938, -2967827, -3460714?\n\"Answer: v**2 - 492900*v - 10463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**5\/20 - j**4\/12 + j**3\/6 - 18*j. Let w be 1\/1 + -3*1. Give k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 1 + 3. Let y be -1*(3 - (o + -1)). Solve -7*x + 2*x - 15 = y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (5*(sqrt(76) - (2 + sqrt(76))) - (-4 + sqrt(76) + (sqrt(76) + 1 - sqrt(76)))))**2.\nAnswer: 32*sqrt(19) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(-8) - (13 - (-539)\/(-44))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y = 2*q - 26 - 6, 2*q - 20 = -y - 4 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29084574*b**2 - 255*b**3 - 34*b**3 + 29084574*b**2 + 11*b**3.\nAnswer: -278*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1946, 3885, 5818, 7745, 9666, 11581, 13490?\nAnswer: 15393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5129643 + 43*v + 41*v**2 - 5129643.\nAnswer: 41*v**2 + 43*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3 - 3*p + 13*p - 12*p. Suppose 0 = -3*l + 5*f + 7, -2*l + 10 = -0*f + 2*f. Give r(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45 in 2\/13, -14328, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 144094910009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -162353946, -162353955, -162353976, -162354015, -162354078?\n\"Answer: -o**3 - 2*o - 162353943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l + 4*l + 2*l)*(0*l + l + 3*l) + 10*l**2 + 1 - 17*l**2 + 4*l**2.\nAnswer: -7*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*n - 2*j - 27, -3*n = -3*j - 18. Let k(o) = -o**2 + 4*o + 2. Let l be k(4). Solve n*h + l*m - 3 = -1, 3*h = -5*m + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 14. Suppose 2*y - 25 = -a*y. Suppose -140 = -3*m - y. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -231, -476, -697, -882, -1019, -1096, -1101?\n\"Answer: 2*b**3 - 259*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3.42909*4\nAnswer: -13.71636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 5:22 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-6))*l\/((l*l**(1\/5)\/l)\/l))**(9\/4)\/(l\/(l**(2\/13)\/l)*((l*l**(-4))\/l)\/l)**26 assuming l is positive.\nAnswer: l**(1991\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3060 is divided by 759.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-130)\/39*(-42)\/5. Let t = -28 + q. Solve 3*i + 3*d - 24 = t, 3*d - 6*d + 20 = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qpamppaapaaqmbmp. What is prob of sequence pqqm?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = 32*z + 202 - 236 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 2046?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/18)\/v**11*(v**(2\/9))**(-5\/9) assuming v is positive.\nAnswer: v**(-1811\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3591 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2935736?\nAnswer: 2, 366967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/268? (a) 2 (b) -5 (c) 0.26 (d) 5 (e) 8\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105406 (base 12) to base 7.\nAnswer: 2123226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*v - 9*v + 37*v + 15*v to r + i*v and give i.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.01117 to one decimal place.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7236408183 to the nearest integer?\nAnswer: 1934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -302971 divided by 139\nAnswer: -302971\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**5\/30 + 3*j**2. Let z(t) = -2*t**2. What is z(b(d))?\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 544 = 6*j + 142. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1847*a**2*p*r + 6*a**2*r**2 + 4*a**2 + 4*a*p**2 - 15*a*r - 4*a + 2*p*r**3 - 6*r**3 wrt p?\nAnswer: 1847*a**2*r + 8*a*p + 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 218916960 a multiple of 2505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -575 + 414. Are o and -161 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 379 + 27*o - 379 in the form c + x*o and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j**2 + j**2 + j**2)*(-2 - 1 + 0)*(3*j**2 - 2 + 2) to the form v + o*j + g*j**4 + z*j**2 + a*j**3 and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77) + sqrt(77))\/sqrt(7) + sqrt(11) - (2*sqrt(11)*-5)**2.\nAnswer: -1100 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8, -127, -598, -1603, -3340, -6007?\n\"Answer: -33*v**3 + 30*v**2 + 6*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*y - 1407 + 10587. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -250 and -41956281.\nAnswer: -41956531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -26. Let c = o + 20. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9505 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 1723603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 230 + -230.00000034. Round w to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246198367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/4101822 and -91\/918.\nAnswer: 209192922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159878, 319760, 479642, 639524, 799406, 959288?\nAnswer: 1119170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76960 and 2294.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 44 (c) 1\/3 (d) 4 (e) 0.1 (f) 55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 336.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1 + 7*i**2 + 0*i**2 - 3*i - 17*i**2 + 5*i**2. Let k(c) = c**2. Let y(u) = j(u) + 4*k(u). Calculate y(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 2*u + 19, 7*a + 5*u = 6*a - 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from uayayuuauau?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166310.\nAnswer: 2, 5, 16631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -554 + 541. Let p be (1\/(-1))\/(2\/(u + 3)). Let w(q) = q - 3. What is w(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 38\/11*v**2 + 0*v + 30\/11*v**3 - 8\/11 = 0?\nAnswer: -1, -2\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - -20. Differentiate -46 + 121 - 26 - w + 72*c with respect to c.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 4*y + 4. Let u(q) = q**2 - 3*q + 1. Let m(t) = -3*t**2 + 7*t - 3. Let s(a) = 2*m(a) + 5*u(a). What is n(z) + 4*s(z)?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 + 2*q - 2. Suppose 0 = 2*l + u + 2*u - 5, -5*l + 5*u - 25 = 0. Give r(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 284170 and 35168?\nAnswer: 31827040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -9*l. Suppose -17 - 1 = 3*v. Let y(d) = -10*d. Let k(z) = v*c(z) + 5*y(z). Suppose -2*x - 4 = -2. Determine k(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (4 - (4 - -1))) + 21\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33047149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a = 10 + 90 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38539781.\nAnswer: 7, 5505683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 214 + 26 = -3*j, -10 = -2*h. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*c**4 - 8*c**3 + 47*c**2 - 2*c + 44756 wrt c?\nAnswer: -228*c**2 - 48*c + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 - 32*l + 757. Let b be p(-29). Let i(j) be the second derivative of 0*j**b + 1\/2*j**4 - 7\/2*j**2 + 1\/20*j**5 - 16*j + 0. Calculate i(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -808 + 803. Is t equal to 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*l = 346*l - 410 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 210, 395, 580?\n\"Answer: 185*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -12*k**4 + 16*k**3 + 2*k**2 + 7*k - 13. Let h(u) = u**4 - u**3 - u**2 + 1. Let a(s) = -22*h(s) - 2*z(s). Determine y, given that a(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5744 + -1.0397. Let f = d + -0.569. Round f to 3 decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**3 + 12*r**3 - 9*r**3 - 2*r**2 + 8*r**2.\nAnswer: 10*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44018 is divided by 4382.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20178569 divided by -35339.\nAnswer: -571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (1 + (4 - 0) + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(3 + 6 + 14)*(r**2 - r**2 + r**5).\nAnswer: -23*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**4\/7 + 25712*c**3\/7 + 82612652*c**2\/7 - 165302448*c\/7 + 82664082\/7 = 0.\nAnswer: -6429, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**3 - 21*f**2 + 24*f + 41. Let z be n(-6). Solve 2*x - z*s + 35 = 0, 3*x - 2*x + 2*s = 14 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(8 - 4 + 2)*(-c**4 + 4*c - 4*c).\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-16) + (-3)\/4. Let j = -8 + 16. Let h(s) = -4*s**3 + s**2. Let q be h(-1). Sort q, j, p.\nAnswer: p, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16512 - -28153. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*m - 0*m + 5955. Let j = m - -768. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 232423216 - -3?\nAnswer: 232423222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 19 - 4*w**4 + 4*w**3 + 17 as q*w**2 + i*w**4 + h*w**3 + u*w + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-513)\/45)\/(208\/5 - 6).\nAnswer: -4\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*r + 4800 = -4*r. Sort 15, r, 2, -9 in increasing order.\nAnswer: -9, 2, 15, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29192 is divided by 360?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 817078 - 817078 + 4485*j**2 + j**2 + 4*j**2 - 3*j**2 + (j - 4*j + 4*j)*(2*j - 3 + 3) + (3*j - j - j)*(0 + 0 - j) as f*j**2 + d + x*j and give f.\nAnswer: 4488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c + 16. Let o be w(3). Suppose 5*m - 2*p = 23, 2*p - o*p - 20 = 0. Calculate the smallest common multiple of 5 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 250 - -501. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(605)*-2*-1 - 2*sqrt(605)*-1 - (-4 + 0 + sqrt(605) + sqrt(605))*1)**2.\nAnswer: 176*sqrt(5) + 2433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14\/3 (b) -10.7 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3170*f**2 + 5*f + 20. Let w(y) = y + 4. Determine o(t) - 5*w(t).\nAnswer: -3170*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 191 - 136. Suppose l = -4*k - 69, 3*l = 5*k + j + 10. Let a = 15 + k. Round a to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2062 is divided by 682.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11149*l**2 - 3*l**4 - 210*l**3 + 3949*l**2 + 8*l**4 + 5*l**4 - 47520*l - 5*l**4.\nAnswer: 5*l*(l - 66)*(l + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/18 and 121\/17749460?\nAnswer: 159745140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.11781.\nAnswer: 0.023562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -9. Let y be 6020\/(-50) - 2\/n. Does 20 divide 4\/3*y\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 325 + -307. What is the greatest common divisor of n and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 20. Let a be y(-24). Suppose -5*q - 19 + 4 = 4*v, 0 = -a*q + 5*v + 29. Let o be q\/(-4) + 255\/60. Solve o*l + 5 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 + -36?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 3*t - 3*t**2 + 4*t. Let z be 4\/20 + 11\/(-5). Let f(j) = -4*j - 2. Let l(m) = -13*m - 7. Let c(h) = z*l(h) + 7*f(h). What is d(c(b))?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*p**2 - 15\/2*p + 17.\nAnswer: -(p - 2)*(p + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, f: 6, k: 4, s: 1}. What is prob of sequence sf?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2024635 or -2024591?\nAnswer: -2024635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*p + 2*y, -2*p + 2*y + 6 = 2*p. Let k(d) = 0*d**2 + d**p - 3*d**2. Let m(c) be the second derivative of c**4\/4 + 2*c. Give k(m(v)).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 0*i**4 + 0*i**6 - 8*i + 4*i**2 + 0 + 11\/20*i**5 + 1\/105*i**7 - 8*i**3. What is the derivative of d(v) wrt v?\nAnswer: 8*v**3 + 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from bzcgzzzk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -285, -284, -283, -282, -281?\n\"Answer: v - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00625642 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 5*a + 2 = 0, -4*n + 4 = -99*a + 103*a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21 + -9 + 2224\/208. Which is bigger: a or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 1.2. Let j = -218.99 + 214. Let y = 0.01 - j. Sort o, 0.1, y.\nAnswer: o, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 11*j. What is the third derivative of 26*m**2 - 16*m**4 + j*m**2 - 7*m**2 wrt m?\nAnswer: -384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 7*p + 81 = 0. Let d be 2\/9 - 56\/p. Is -5 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2955814482 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-16))\/((-21)\/868). Suppose -13355*y + 66 = -13344*y. Which is bigger: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/210 and 39\/31360.\nAnswer: 94080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.4 (c) -1\/3 (d) -153 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 330*c + 1811*c - 77076 for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79*2\/(-18) + 60\/(-270).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 2. Let h = 26 - -7. Suppose 0*a + h = i*a. Calculate the remainder when 41 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435*n**2 + 3*n - 3*n - 437*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 2\/75 (b) -7 (c) 2\/15 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1371*d**2 + 13721*d - 13721*d to the form s + x*d**2 + y*d and give x.\nAnswer: -1371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1506344116 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - c - 6 = 0, 3*p + 10 = 2*c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtzvgwvd. Give prob of sequence tvg.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 101*c**6\/30 - c**4\/12 + 23*c**2\/2 - 202*c - 179. Let z(m) be the first derivative of u(m). Differentiate z(n) wrt n.\nAnswer: 404*n**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4 + i**2 - 2*i**2.\nAnswer: -i**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 83*b. Let z be g(-1). Calculate the common denominator of z\/6 + -1 + 1 and 9 + (3186\/12)\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 + 25394*x + 152462. Give s(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 389\/((-1)\/(3\/(-1))). Let g(x) = -4 - 5*x - 5 - 3 - a*x**2. Let o be g(-12). What is o rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.027, 3, -15\/4, 401?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 775 + 2*t - 1747 + 789 in the form y + f*t and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32365*d**2 + 2811*d?\nAnswer: -64730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 8. Suppose 5*h - t = -0. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 + 2*n**2 - 4*n - 4*n**2. Calculate the least common multiple of v(5) and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 + 2 + (253 - 249).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o**2 + 110*o + 25. What is the thousands digit of j(-71)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*t - 3. Let f be t\/6 - (-3 + 4\/2). Which is bigger: 0.2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 - 2034132233?\nAnswer: -2034132340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 1:02 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + 101. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 13718*x**4\/13 + 14244338*x**3\/13 + 4920757446*x**2\/13 + 562223226950*x\/13 - 1144243657876\/13 = 0. What is x?\nAnswer: -6589\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -466867650551 take away 0.1?\nAnswer: -466867650551.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3278862, -3278860, -3278858, -3278856?\n\"Answer: 2*a - 3278864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m + 835 = 263 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.5 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.83546 and 22.\nAnswer: 23.83546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-945)\/(-6))\/(-3)*175616\/(-490) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3 + ((-2604)\/210 + 14 - (-28)\/(-330))\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123541673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -124968.174 to the nearest 1000.\nAnswer: -125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -546, -1830, -3120, -4416, -5718?\nAnswer: -7026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 149, 215, 281?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - (123 + -127 + (2 - 9) + 98)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Let x(w) = -2*w**2 + 2 - 2*w - w**u + 0. Suppose 0 = -2*a + 2 - 6. What is x(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -20. Let f be 3*(-7)\/((-63)\/s). What is the units digit of (19 - f)*(-1)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t + 4*t + 2*t)*(-4 + 4 + 3) + (-2*t + 2 - 2)*(-4 - 1 + 3) in the form c + k*t and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d. Let w(v) = 471*v - 74 - 469*v - 99. What is l(w(r))?\nAnswer: -4*r + 346","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebbrebbbxxrbebbe. What is prob of sequence xx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(1*(-3)\/(-1)))\/((-1824)\/684)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 + 65.000058. What is c rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 30*c. Is 15 a factor of z(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d - 3. Let q(f) = f + 6 + 0 - 5. Let k(m) = -o(m) - 5*q(m). Let n be k(4). Solve -2*h = 2*l - 4 - n, -5*h = 4*l - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -1 + a + 7 + 1 - a**2 + 6. What is the tens digit of c(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, e: 2}. What is prob of sequence rre?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -825, -815, -793, -753, -689, -595?\n\"Answer: o**3 + 3*o - 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2527*i - 5128. Is z(57) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 9:55 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + 6*c**2 - 3*c - 8. Let s be o(-3). Solve -5*v = -2*a - 29, -v - s = 2*a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 199, 420, 707, 1048?\nAnswer: 1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(528))\/sqrt(12) - sqrt(176)*4)**2*-6.\nAnswer: -4224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-12*h**4 + 3*h - 3*h) - 4*h**4 + 4*h**4 - 2*h**4.\nAnswer: 22*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.4 and 287?\nAnswer: -688.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*w - 13. Solve -w*z - 3*h = -13, z - 8 = 4*h - 0*h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 2208*n + 361836.\nAnswer: -3*(n - 874)*(n + 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**3\/7 - 26919*m**2\/7 + 3*m\/7 + 26919\/7 = 0 for m.\nAnswer: -8973, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 22 - 383*m - 405*m.\nAnswer: -788*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 1. Solve -8*o + 3*o - 15 = j*z, 2*z - 12 = 4*o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**3 + 16586*j**2 - 166172*j - 929936 = 0.\nAnswer: -8303, -4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 5, -24.\nAnswer: -24, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/9499 - 9509\/47495. What is the second smallest value in f, 160, -3\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54c3 (base 15) to base 10\nAnswer: -17958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 508998534 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 35, 45, 55, 65, 75?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 4*s - 37 = 0, 10 = -4*a - s - 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2608, 2605, 2600, 2593, 2584, 2573?\n\"Answer: -h**2 + 2609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (165 - 121) + -18 + 2 + 1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 7403 = 7423 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/6 - 225\/54. Let l(x) = -15*x - 4. Let p(y) = -165*y - 45. What is z*p(s) + 45*l(s)?\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*a*h*n**2 - 11*a - 6*h - 111*n**2 + 3 wrt n.\nAnswer: -10*a*h*n - 222*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-6) + 110*1. Let i = s - 15. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.255 - 0.055. What is the third biggest value in 1\/4, -1\/4, -1\/2, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37881 or -38797?\nAnswer: -38797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13129 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801913183?\nAnswer: 19, 347, 121631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 452336, 452324, 452288, 452216, 452096, 451916?\nAnswer: 451664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.451 and 321683.\nAnswer: -145079.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d**6)\/d)\/(d\/d**5)*(d\/(d\/(d**(2\/15)\/d)*d))**(1\/31) assuming d is positive.\nAnswer: d**(5552\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 12:51 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32254433.\nAnswer: 317, 101749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 162\/13 in -2, -1\/2, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d = -2*j + 63, 274*j + 274*j - 11 - 58 = 3*d + 543*j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 + 1)*(-g - 2*g - 5*g) + (0*g + g + 2*g)*(36 + 19 - 19) to q*g + y and give q.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {y: 2, k: 1, q: 1, u: 1, l: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 361906.194 - -1.4?\nAnswer: 361907.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**4*u - 15*d**3*u - 639797*d**3 + 7*d**2*u + 24416*d*u - 92 wrt d?\nAnswer: 48*d*u - 90*u - 3838782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/8, 1\/58, -4, 4, 1\/7?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1268? (a) -2 (b) 0.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 7 = -26. Find the common denominator of (1 + ((-87)\/(-116) - (-202)\/(-120)))*21 and ((-4)\/(-3))\/(g\/36).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -685\/2629 or 1?\nAnswer: -685\/2629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*b**2 - 13344540*b + 365604 = 0 for b.\nAnswer: -60934, 2\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.364 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 9*(-8)\/(-60) + -1. Let p be (-56)\/12 + 1\/(-3). What is the third biggest value in w, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 307*f + 20379. Determine d(97).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*z - 18 = 0. Let q(l) = l**2 + 2*l + 3. Let a be q(-4). Let y = a - 6. What is the smallest common multiple of y and z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5338 + 29363 = 4*b, 0 = -4*b - 2*j + 24010. Round b to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 90002484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*l**4 + 3176*l**3*x + 200641*x wrt l.\nAnswer: 36*l**3 + 9528*l**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3262309897?\nAnswer: 7, 11, 137, 44179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*-2*-3*4 - -3*(sqrt(2448) + sqrt(2448) + -4 + sqrt(2448) + 1))**2 + 0.\nAnswer: -4536*sqrt(17) + 1079649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r**3 + 17*r**2 - 7*r + 1. Let l(t) = -5*t**3 + 8*t**2 - 3*t + 1. Let g(j) = 9*l(j) - 4*u(j). List the prime factors of g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*d - 15. Let v be -2 + 4 + 0 + d. Let y(m) = 3*m**2 - 46*m + 16. Let j be y(15). Sort v, 0, j in descending order.\nAnswer: j, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -524 + -11?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -27919*g + 223474. Give w(8).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 4*s - 2. Let d = -47 + 82. Let t = d - 20. Suppose 2*p + t = -p. Calculate g(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**2. Let i(n) = -524*n - 2. Let m(y) = -1570*y - 6. Let t(f) = 16*i(f) - 5*m(f). What is s(t(c))?\nAnswer: -1140624*c**2 - 8544*c - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 102 = -2*f. Calculate the common denominator of -2 - (f\/6 - -1) and 21\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/37? (a) -1546 (b) -6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 187273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v. Let u(w) = -w. Let c(t) be the second derivative of -t**3 - 4*t. Let k(j) = 6*c(j) - 34*u(j). What is k(g(z))?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.66 - -0.46. Let s = 6 + 4. Which is greater: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89300 divided by -235?\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32 - -11?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - 3 - (18 - 47 - -26).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2658, -5319, -7982, -10647, -13314, -15983?\n\"Answer: -z**2 - 2658*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 80.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 18 = 3*g, -5*u + 7 = g - 31. What is the highest common divisor of u and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + v - 66 = -11, 0 = -4*k - 2*v + 50. Sort 22, 5, 4, k in descending order.\nAnswer: 22, k, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, m: 5}. What is prob of sequence mm?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-30) + -4*(-97)\/6. Let y = -38 + v. Suppose -y*s + 32*s = 900. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {m: 10, q: 9}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 57 = 328. Suppose -2*u + 45 + z = 0. What is the remainder when 149 is divided by u?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 30 + 56 + 28*k**2 + 25*k + 26*k - 18 + k**3 - 49*k. Let w be g(-28). Solve -3*z + 4 = t, 4*t + z = t + w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 261*k**3 + 9*k**2 + 13*k - 144. Is u(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2868 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -28*v - 266 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 169?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -20*t - 25. Let y(x) = 7*x + 8. Let a(z) = -6*k(z) - 17*y(z). Suppose -101*d + 135*d = -340. Give a(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 6:40 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mii when three letters picked without replacement from {m: 2, i: 11, j: 2}.\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4180\/2508*9*2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 - 396 - 35*m**3 + 3*m**2 + 396 to the form b + k*m**2 + f*m + p*m**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -661*x - 750*x - 1430 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8284)\/(-266))\/((-2)\/14). Let v = -224 - w. Let b(u) = 4*u + 22. What is b(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -27*w + 245. Let d be c(9). Find the first derivative of -12 + d*s + 6 - 37*s - 21 + 1 wrt s.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o - 1. Let u be s(1). Let p be u + -1 + -3 + -2. Suppose p = 9*i - 8 - 19. Solve i*h + y - 6 - 2 = 0, -5*h + 28 = -2*y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 3:04 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10054632 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -687201 divided by -4?\nAnswer: 687201\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 1:42 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/(-108) - 2\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o + 9. Let m be s(-4). Which is the closest to 0? (a) 0.1 (b) 1\/9 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 - -0.2. Let t = -240 + 2397\/10. Let s = t + -1\/30. What is the nearest to s in m, 1, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -11*c - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 16 - 13*z**2 + (-2*z - 2 + 2)*(3*z + 2*z - 4*z) in the form n*z**2 + k + i*z and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11859?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -58 + -2?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2, 648702, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 39, 1.\nAnswer: -7, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, 24, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 9*i + 14. Let y = -446 + 448. Let x be o(y). Put 5, -2, 1, x in decreasing order.\nAnswer: 5, 1, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 145735500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 26*f**2 - 2*f + 32*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 114025 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((13824\/16)\/(-27)*(-1*3)\/(-6))\/(-38)?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 625 and 533125.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from ohooooohhohh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 244*u**2 - 5*u - 33. Let j be a(-12). Suppose 0 = 49*d - 40*d - j. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 548729 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -70. Let r be o\/66 + ((-33)\/(-9) - 4). Which is the third smallest value? (a) 0.4 (b) -1\/5 (c) 4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -33 + 173. Suppose m*d + 9 = 25*d. Sort 1, d, -5.\nAnswer: -5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11317839 to the nearest integer?\nAnswer: 3364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750340366.\nAnswer: 2, 157, 2389619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431*u - 141 + 106 + 3*u**2 + 214*u + 217*u - u**2.\nAnswer: 2*u**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(5\/2))\/h)**(-2\/15)*h\/h**(-13)*h**(-1\/2)*h)**(6\/13) assuming h is positive.\nAnswer: h**(85\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5 - 21*n**4 - 409*n**3 - 1091*n**2 - 1044*n - 340.\nAnswer: (n - 34)*(n + 1)**3*(n + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 - 1 - (2 - (-4)\/4). Suppose -h - g - 7 = 3*w, 0 = -4*h + 12. Which is smaller: w or -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i - 4499. Let t(m) = -3*m. What is q(c) + 2*t(c)?\nAnswer: c - 4499","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5469 divide 1270546023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0452764106 rounded to 4 dps?\nAnswer: -0.0453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 25172 + 3803 = 28761. What are the prime factors of i?\nAnswer: 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 10*z - 5. Let r(x) = -140*x + 70. Suppose q - 3*h + 331 = 5*q, 0 = 2*q - 2*h - 176. Let g(j) = q*p(j) + 6*r(j). What is the derivative of g(t) wrt t?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -41\/5, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.844 + 5.8. Let v = -8.044 - f. What is the nearest to -0.1 in 0, v, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**3 + 3*j**2 + 4*j - 5. Suppose -46*z + 26*z - 80 = 0. Let h(y) = -6*y**3 + 3*y**2 + 5*y - 6. What is z*h(l) + 5*n(l)?\nAnswer: -l**3 + 3*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (21 - 20) - -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/3)\/k*k**4)\/(((k*k**(-1))\/k)\/k**(-1)))**19)**(-22) assuming k is positive.\nAnswer: k**(-3344\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*2 + (-1)\/1. What is the highest common divisor of 6 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**2*w**2 - 123*v**2 - 3070*v*w**3 - 77*v*w + w**3 wrt w?\nAnswer: 4*v**2 - 18420*v*w + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 2*h**2 - 1962*h + 17100. Determine y(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104566123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-20) - (-49)\/(-840). Let s(a) be the third derivative of 4*a**2 + 0*a + 0 + 2\/3*a**3 - t*a**4. Differentiate s(g) wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 2*v**2 + 2983*v - 1449*v - 1534*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, c: 1}. Give prob of sequence cx.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 974736 a multiple of 967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 5, -4.14, -26\/7, -4\/7, -1\/2, -6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -81 + 1162*o**2 + 91 - 10 in the form c + d*o**2 + i*o and give d.\nAnswer: 1162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 26 - 144)*(3*i - 6*i + i) - 4 + 4 + 2*i.\nAnswer: 286*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -5*i - 4 + 24, 4*i - 16 = -2*a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11070 (base 9) in base 7?\nAnswer: 30303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 j, and 1 q when four letters picked without replacement from {q: 4, y: 2, j: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1887944 micrometers to nanometers.\nAnswer: 188.7944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 5627366.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*0\/1)\/((-812)\/(-406))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 733 + 250479 = -5332*p + 53928 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by 7261\nAnswer: -33\/7261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-3)\/(-21)*(4060\/(-40))\/(-29)*101.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -63545, -63055, -62239, -61097, -59629?\n\"Answer: 163*r**2 + r - 63709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/10720862 and 11\/8.\nAnswer: 42883448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 12*y**2 - 20*y + 45. Determine t(-14).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzp when three letters picked without replacement from cczprcyzcrycrrccjzzc.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 4 (b) 26 (c) -4985\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.75 + -0.75. Let m = -3 + 0. Let u = m + 5. Which is the closest to o? (a) -3 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2214*x + 2214*x - 249*x**3)*(18*x**2 - 15*x**2 + 8*x**2).\nAnswer: -2739*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(95) + sqrt(95) + (sqrt(95) - (sqrt(95) - (sqrt(95) + 1*sqrt(95))))))\/((sqrt(160)\/sqrt(4))\/sqrt(8)))**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6 - (-3560)\/820) - 5.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i**2. Let b(l) = -1129*l - 16. Give b(z(j)).\nAnswer: 10161*j**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 16. Let a be w(11). Suppose 10 = 5*j, a*j - 10 = -3*z + z. Suppose -4*u - 2*k + 850 = 0, z*k + 4*k - 12 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 5:20 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-133) + 27\/(-6)*(-8296)\/(-1292)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2659.8838 + 0.1162. Let l = u - 2660.000001361. Round l to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26118626?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15593\/10 + 1559. What is the biggest value in 1\/2, 0, -0.1, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24845098?\nAnswer: 2, 41, 302989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 102\/42 - (-4)\/7. Suppose 4*k - 206 = -q*y + y, -y + 259 = 5*k. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2590 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 57?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 3:01 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1470)*1)\/(sqrt(864)*-2).\nAnswer: -7*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -12*r**3 - r**2 + 1. Let o be -3 - -1 - (2 + -3). Let h be a(o). Let b be 8\/3*(-1)\/h. Put 1\/2, b, 2\/5 in increasing order.\nAnswer: b, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1008 and -137\/2700.\nAnswer: 75600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, c: 1, m: 3}. Give prob of sequence zzmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1428*r + 427*r - 1 + 222*r + 1 in the form i*r + f and give i.\nAnswer: 2077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**5\/p*p*p\/(p*p**(7\/3)*p))**38)**(-49) assuming p is positive.\nAnswer: p**(-9310\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + (2 - 0) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-8))\/(5\/20). Let k be (-4 - (-2 - 1))*-2. What is the second derivative of -2*x - x**3 - u*x + k*x - 2*x wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 334827*z + 924. Let f be v(-12). What is f rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 3. Let p be t(-5). Let i be (-42)\/12*40\/(-70). Suppose -5 = -8*m + 4*m - w, m - 2 = -w. Put m, p, i in decreasing order.\nAnswer: i, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1.88 (b) -23 (c) 2 (d) -13\/4 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3006522 (base 9) to base 12.\nAnswer: -651502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - w - 4, 2*t = -4*w + 9*w + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -423 - -292. Let o = -119 - i. Suppose 0 = -u + 4 - 2. Solve 0 = l - 2*l + u, 0 = 5*v + l - o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - j - 4. Let k(m) = -2412*m**2 - 268*m - 1072. What is -k(i) + 268*s(i)?\nAnswer: 2144*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40912 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 152*d**2 + 202*d - 7488. Calculate y(153).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 6*u**2 - u + 1. Let m = 10 - 5. Let t = m - 11. What is the units digit of y(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.165 - 1.365. What is the fourth biggest value in -85, -1, -0.3, u?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1563, -11, -1.8?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from hawawwhhwakwaikok.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18737446400 rounded to the nearest 1000000?\nAnswer: 18737000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -77\/3. What is the nearest to w in 5, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 453968, -5\/6, -0.5 in decreasing order.\nAnswer: 453968, -0.5, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhxqvle. What is prob of picking 1 h, 1 l, and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**3 - 5*u**2 - 10*u - 3. Let j be x(7). Let q = j + -206. Let a(s) = -q + 505 + 29*s. Let p(n) = 2*n**2. Calculate a(p(b)).\nAnswer: 58*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6190524 and 216?\nAnswer: 37143144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 69788?\nAnswer: 139576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r. Let c(p) = p + 6. Let f be c(-6). Let a(q) = q**2 - 9*q + 10. Let j be a(8). Let v(h) = -j*h + 0*h + f*h. What is v(n(u))?\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147140 - 147140.074003. Round g to three decimal places.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -0*o + o. Let l = o + 16. Suppose -40 = -5*m - l*j, -2*m = -4*m + 3*j - 3. What is the remainder when 10 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310 (base 7) in base 13?\nAnswer: 2c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9381?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6725 and 3.\nAnswer: 20175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 958740, 1917495, 2876250, 3835005, 4793760, 5752515?\n\"Answer: 958755*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008855933 to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**3 + 3*l**2 - 9*l - 21. Calculate j(-3).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 110 = -b - 383, -277 = -5*y - b. Suppose 22*w - 756 = 16*w. Suppose w = 24*m - 6*m. What is the remainder when y is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from mynkktkbnntk?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3920 and 1470?\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*-5*(2 + sqrt(175) + sqrt(175))*-5)**2.\nAnswer: 635000*sqrt(7) + 11002016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 220.8 - 190. Let c = 0.36 - 31.36. Let m = d + c. What is the biggest value in 4, m, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 + 140*w + 1617. Calculate q(-19).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-14)*(-231)\/(-2). Calculate the greatest common divisor of 21 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8941 + -8844. Let k(y) = 2 + 6 - 3 - 5*y. What is the remainder when j is divided by k(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 187, 329, 521, 775, 1103?\nAnswer: 1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 5*a**2 - a - 5. Let t(q) = q**3 + q**2 + q + 1. Let b be t(-2). Let y be o(b). Solve y = -0*l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/5))**32)**(-18)\/((h\/h**(-1\/4))**14*h**(-2)*h\/(h*(((h\/(h**5\/h))\/h*h)\/h)\/h)) assuming h is positive.\nAnswer: h**(947\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**8\/24 + 31*y**7\/105 - y**6\/120 - y**5\/60 - 201*y**3\/2 + 511*y**2. Find the third derivative of n(j) wrt j.\nAnswer: 840*j**2 + 1488*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**7*s)\/s*s*s**9\/s assuming s is positive.\nAnswer: s**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 0 + 0 + (-929*k - 412*k - 273*k)*(4 + 3 + 6).\nAnswer: -20983*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/11, -0.1, -0.05?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - l - 2. Let d be -2*l\/20*4. Suppose -1 = 2*y + 1. Which is smaller: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 12*t**2 + t**3 - 8*t**2 + 8 + 24*t**2 - 7*t. Let c be g(-5). Let b(f) = 301 - c*f - 301. Let k(r) = -r**2. Give k(b(d)).\nAnswer: -169*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -325\/8 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 487, 4539, 15723, 37603, 73743, 127707, 203059?\n\"Answer: 594*b**3 + 2*b**2 - 112*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -135 by -45.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1160196 is divided by 386474.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 141 - 84 = x, 4*f = -x + 46. Let b(q) be the second derivative of -q**3\/3 - q**2 - q. Let z(g) = g + 1. Calculate x*b(n) + 3*z(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9792 and 730728?\nAnswer: 5845824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 2*p**2)*(0 + 3 - 1) + (p + 4*p + p)*(2*p - 2 + 2) in the form s*p**2 + c + j*p and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -3, -0.1, -2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 18 = 3*w - w, 0 = -d - w + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 92 = -4*h, -h - 5*k = -4*h + 53. Does 15 divide 4\/((-12)\/h) - -148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*b**2 - 21*b**2 - 1945*b + 4*b**2 + 11*b**2 + 416 - 415 in the form m*b**2 + f*b + p and give f.\nAnswer: -1945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 7*q - 9)*(-5*q**4 + 2*q**4 + q**4 + q).\nAnswer: -14*q**5 + 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/3 (b) 1 (c) -1\/2 (d) -0.1 (e) 3414\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 3 - 2*q**4 - 3*q**5 + 7 + (-4*q**2 + 6*q**2 - 4*q**2)*(5*q**3 - 3*q**3 - 4*q**3).\nAnswer: q**5 - 2*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(-22) - 4 - (-1 - 1). Suppose 3*w - 4 = -1. Sort b, w, 2\/3 in descending order.\nAnswer: w, 2\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - v**3 + 2*v**3)*(v + 2*v - 5*v) + (-1 + 1 + 1)*(0*v + 0*v + v)*(422*v**3 - 50*v**3 - 1748*v**3).\nAnswer: -1378*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99051 + -54262. List the prime factors of w.\nAnswer: 44789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510096 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9 + -1.6. Let t = 691\/932 - -2\/233. Which is the third smallest value? (a) -3 (b) t (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4724654921?\nAnswer: 7, 271, 355799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181 - 171. What is the lowest common multiple of f and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 20 - 23 - 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*p - 30, -5*p - 5*u = -3*p - 15. Solve -4*c = -p*h - c + 23, -2*h - 4*c = -4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hiiikhkkiiikkgiiikk?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/2 - 1909*d**2\/2 + 82863*d\/2 + 5281605\/2 = 0.\nAnswer: -35, 81, 1863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, u: 3, y: 3, f: 5, c: 7}. What is prob of picking 2 f and 1 c?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 533 + -307. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-6)\/3) - 304\/(-38). Solve 5*u - 16 = 3*y, 5*y + 5 = u - v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 28*u - 22. Find the third derivative of 5*z**2 + 157*z**4 - u*z**2 + 5*z - 10*z - 19*z**2 wrt z.\nAnswer: 3768*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 - 90. Solve z = l - 6*l + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjdd when four letters picked without replacement from iudjdjiu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 19. Put -3, -21, l in descending order.\nAnswer: l, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15545, 15355, 15161, 14963, 14761?\n\"Answer: -2*q**2 - 184*q + 15731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 569 - 89 = 3*n. Suppose n = p + 3*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194 a factor of 60408042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwxxxgwxw. What is prob of picking 1 x and 1 g?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - m + m)*(0*m + 0*m + m**2) + 1 - 1 - 2*m**3 + 5*m**2 + 7*m**3 - 5*m**2 + (-2 + 2 - 1)*(m**3 - 5*m**3 + 2*m**3).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -57 - -735?\nAnswer: 69a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782394 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 7*g + 510 = -112*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -3*n - 695. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 27*s + 299. What is m(13)?\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -q - 8. Let w = 7 + q. Let c(h) = -3*h + 5*h + w*h. Let i(g) = -g. Give i(c(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 120430 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - 3*w**3 + 0*w**3)*(19 + 24 + 21 - 2*w).\nAnswer: 2*w**4 - 64*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 325070028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/(7 - (-4917)\/(-704)). Let y(g) = -g**3 + 5*g**2 + 8*g - 7. What is the least common multiple of y(5) and ((-54)\/(-4))\/((-16)\/j)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 176*x**5\/5 - 399*x + 382. What is the first derivative of d(h) wrt h?\nAnswer: 704*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 959\/137*(-58)\/14.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*t - 4. Suppose 9*p = t*p + 15. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-6)*y**(1\/2)*(y\/y**(2\/3))**(-16))\/((y\/(((y*y**(-8))\/y)\/y))\/y**(-2\/3))**(-5) assuming y is positive.\nAnswer: y**(87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22218 - 0.2.\nAnswer: 22217.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhsdddoc. What is prob of sequence dsd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 48229 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 21?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (13 + -5)) + -3. Let k = a + -3. Let y = 125 + k. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = z + 3*z + 9, z = 5*m + 2. Let v = 13 + m. Solve u + v = 5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*d)*(3 - 1 - 3) + 28*d - 147 + 147 + (-2*d - 3*d + 6*d)*(3 + 3 - 5).\nAnswer: 31*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 384\/(-3)*12\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 - 5 - 5*r**2 + 2*r - 5 + 10 in the form a + q*r + t*r**2 + v*r**3 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 400 = 3*z + 396. Put z, -3, 5, 75 in descending order.\nAnswer: 75, 5, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 57*z**2 - 8*z - 1. Let f(w) = w**2 + 7*w + 2. Give f(r) + y(r).\nAnswer: 58*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16600.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*k**3 - 19 + 76 + 26*k**3 wrt k.\nAnswer: 135*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*z - 6*z = -12, 0 = 4*z + 4. Let i(b) be the second derivative of b**5\/20 + 5*b**4\/12 + b**3\/2 - 2*b**2 - 6*b. What is i(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10 + (-1110)\/(-408) - -8 and -11\/48.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 17*z. Is z less than -34\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 453 + -367. What is the remainder when 255 is divided by p?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 11*z + 3. Let m be c(11). Suppose -m*k = -8*k + 385. Let w = -42 + k. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q + 40 - 72. Let z be 49*(-4 - -6)*2. Calculate the greatest common factor of q and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -15, -5*l - 1045060 = -5*m - 8*l. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/9)\/1*(2 + 16). Suppose -1235 = -5*g - 5*j, 5*j - j - 259 = -g. Suppose c*v - 105 = g. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145.6352cm to micrometers.\nAnswer: 1456352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = q + 13. Let k(t) = 9*t + 7. Let j(l) = 1 + 4222*l - 1 + 4 - 4217*l. Give q*j(p) + 6*k(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-89)\/(8900\/(-1360)))\/(-1*(-4)\/(-10))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 3. Let g(u) be the first derivative of 2*u**2 - 11*u - 397. Calculate -4*g(o) + 18*s(o).\nAnswer: 2*o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -31. Suppose i - j*i + 12 = 0. What is the remainder when 58 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 8*z**2 - 10*z - 3. Let g be 1\/((-21)\/18) + 12\/(-84). Let m(s) = 9*s**3 + s**2 - 1. Let b be m(g). Determine o(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -121218*w**3 - 5*w**2 + 6 - 1 + 121226*w**3. Let o be (-2)\/((-4)\/(-10)) + 0. Let d(c) = 8*c**3 - 4*c**2 + 4. What is o*d(j) + 4*q(j)?\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s - 4*s**3 - s - s - 4*s**3 - 3*s**3 + 6*s**3 + (1 + 0 + 1)*(6*s**3 + 0*s**2 + 0*s**2).\nAnswer: 7*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 + 0 + (50 - -20) + -36.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*h**2 + 1128189*h*s + 65404001*s wrt h.\nAnswer: -70*h + 1128189*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -167, -2, 3\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2*sqrt(605)*2 + sqrt(605) + sqrt(605))\/sqrt(11))\/(sqrt(10)\/(sqrt(4)\/(sqrt(8)\/sqrt(4)))).\nAnswer: -2*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 244588*y**2. Let n(v) = 2*v. Give n(t(r)).\nAnswer: 489176*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6851.1 - 15.\nAnswer: -6866.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2346 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a - a + 4*a)*(a**4 - 2*a + 2*a) + 0*a**5 - 4*a**5 + 2*a**5.\nAnswer: 7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*f**3 - 1\/2 - 11\/2*f - 12*f**2.\nAnswer: (f - 1)*(6*f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + a**2 + 5. Let l be x(0). Suppose 7 = 4*h + 3*m - 1, 7 = l*h + 3*m. Let u be 0\/(-2*h\/2). Is 1 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 252?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - -3 - (-3)\/((-12)\/(-8)). Suppose -m = -2*j - 5, -m - y*j = -5*j - 3. What is the smallest common multiple of 27 and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-3)\/312 - (-672)\/(-52).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19\/(-14)*2 + (-4)\/14. Let z be (4 + a)\/(-1 - -1 - -3). Which is smaller: 69 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1724*k + 3. Let d(m) = -1725*m + 4. Let b(s) = -5*d(s) + 6*n(s). Let a be b(-1). Suppose -a = -23*i + 6*i. Is 40 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-250)\/(-100)*(-10 - 8). Suppose -2*d - 90 = -m, 0 = -3*d + 5*m - 131 + 3. Is p at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -351 divided by 1109?\nAnswer: -351\/1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3726183 is divided by 253?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 133, 0.1, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 42, 5, -13 in increasing order.\nAnswer: -13, -2, 4, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i + 88 + 0*i - 88. Let r(w) = -39*w**2 - 7*w. Determine r(u(t)).\nAnswer: -156*t**2 + 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 388 and 16102.\nAnswer: 32204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f**2 + 6*f + 1. Let g(t) = 1. Let p(h) = a(h) + g(h). Let x(l) = -l**2 + l. Suppose -7*q = 8*q + 15. What is q*p(r) + 6*x(r)?\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -54*o + 62. Let s(t) = -208*t + 247. Let l(j) = -23*n(j) + 6*s(j). What is l(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by -1102\nAnswer: -55\/1102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from zczccpcccccccppp?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 5:48 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (31 + -39 + 20)) + (-1 - -30)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 9:06 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -15, 19, 45, 51, 25, -45?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 1\/6*l**3 + 0*l**2 - l + 0. Let b(k) be the first derivative of -k**2\/2 - 5. Determine b(f(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from {m: 4, q: 1, i: 4, k: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 1. Suppose -l + 0 - 9 = 0. Let d be (-39)\/l + 3\/(-9). Calculate g(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**2*j*s**3 + 5742*c**2*j*s + 27*c**2*s + 15*c*j*s**2 + c*j*s + 120*c*s**3 wrt s.\nAnswer: 18*c**2*j*s + 30*c*j + 720*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20348406*y**2 + 9824586*y?\nAnswer: -40696812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - 155320?\nAnswer: -155304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*z + 4*z - 14*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 287.5 and -61.\nAnswer: 226.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113246*q - 113244*q - 82, -3*q + 117 = -2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 24 = 5*b, 34 = -2*w - 2*b - 2*b. Let d = w + 30. Suppose 2*k - 179 = -3*m, -5*m + 107 = k + 14. Calculate the greatest common factor of k and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/400 and -31\/4.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15297, -33835, -52371, -70905, -89437, -107967, -126495?\nAnswer: -145021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1458.31 - -3946.8?\nAnswer: 2488.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (145 + -144)\/(129\/(-519)).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 22*n**2 - 9*n - 12. Let w be c(-1). Let r(m) = -4*m - 2. Let q be r(3). Let f = w + q. Solve -3*h = 2*h + 25, -f*g + h - 15 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (129 - 245 + 131)*(g**3 + 2*g**3 + 6*g**3 + (0 - g + 0)*(5*g**2 - 3*g**2 - 3*g**2)).\nAnswer: 150*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**4 + 536*m**3\/3 + 679. What is the third derivative of s(j) wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014581 to 6 decimal places.\nAnswer: -0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 35*n + 36. Let p be b(-17). Let u = p + -332. Solve -7*a + 2*a = u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*t - 8 = 0, 4*n = 2*n - 4*t - 8. Solve 5*b - 4 - 1 = -5*k, 5*k - 15 = n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13130313 + -41?\nAnswer: 13130232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 249 divided by -1\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n + 9. Let a be w(9). Suppose 10*b - 120 = 7*b. Let p = b - a. Solve f + 5*j = 4 - 1, 0 = 4*f + 4*j + p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*n - 13 = 0, n - 44 + 37 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**0*m)\/m*m*m\/m**(2\/15)*m**(-1\/9)*m\/(m**(3\/7)\/m)*m assuming m is positive.\nAnswer: m**(1678\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -184049 (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 575229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 332 - 334 + 992 - m**2 - 326.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 8*x**2 - 8*x + 12. Let z be q(-9). Let h = 0.645 + -0.145. Let u = 0.26 + -0.3. Which is the third biggest value? (a) u (b) z (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -695.6471 to zero dps.\nAnswer: -696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128 + 214. What is the greatest common divisor of 43 and a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {q: 3, g: 4, z: 7, p: 2, m: 1}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-43)\/(-5))*6625\/(-3975).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 558887142 divided by -3067\nAnswer: -182226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.13+144325.18263\nAnswer: 144325.05263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*a + 587, 0 = -3*t + t + 3*a + 232. Solve 116*o - 15 = t*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by (-6)\/(-33) + 145*(-60)\/(-550)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12214 is divided by 813.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4424 by 632.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*j - 32*j - 78. Let f = j + 29. Find the third derivative of 6*x**3 - 15*x**3 + 8*x**f + x**2 wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3327 and -0.2.\nAnswer: -665.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141734099.\nAnswer: 13, 73, 149351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/890 and 77\/3484.\nAnswer: 1550380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53520 and 1275042640?\nAnswer: 17840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 278*l - 17. Let m(b) = -93*b + 6. What is -11*m(y) - 4*w(y)?\nAnswer: -89*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400, 246, 92, -62?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a century in months?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n*q + 1478*n - 75*q**2 - q wrt q.\nAnswer: -2*n - 150*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-3)*9\/(-6). Let p(j) = 7*j**2 - 5*j - 1. Let s(n) = 13*n**2 - 10*n - 1. Let o(k) = -11*p(k) + 6*s(k). Let l be o(4). Which is greater: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14788, -29586, -44394, -59218, -74064, -88938?\n\"Answer: -f**3 + f**2 - 14794*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 161834, 323664, 485484, 647288, 809070, 970824?\n\"Answer: -r**3 + r**2 + 161834*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*g*o**2 - 12*d**3*g + 6*d**3*o**2 - 2*d*o + g*o + 6*o**2 wrt o.\nAnswer: 4*d**3*g + 12*d**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*u**2 + 8 + 0 + 23*u - 67*u.\nAnswer: 4*(2*u - 1)*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2. Let t be (-2)\/(-4) + 7\/(-2). Let d(q) = -3*q. Let s(u) = 2 - 5*u - 2 - u**2. Let o(r) = t*s(r) + 5*d(r). What is h(o(g))?\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 3, o: 4, e: 6}. Give prob of picking 1 o and 1 i.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 967 + -954 + -3 + 18 + -3 + 0?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 8. Let r be m(6). Suppose 2*q - 81*y - 19 = -78*y, -11 = 2*q + 3*y. Solve 5 = v - b + 2, 2*b - q = -r*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692676944 divided by 4?\nAnswer: 173169236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1494 (base 10) in base 13?\nAnswer: -8ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -14*o**4\/11 - 76080*o**3\/11 + 206572*o**2\/11 - 184848*o\/11 + 54370\/11 = 0.\nAnswer: -5437, 5\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5335891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/189*9)\/((-80)\/(-30)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/60)\/((-94)\/(-30) + -3). Sort -1\/8, k, 0.2 in decreasing order.\nAnswer: k, 0.2, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30196897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*u - 0*u. Which is greater: -15 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-112))\/(3\/(-4))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.02397 + -0.02397. What is the nearest to -2\/3 in f, 11, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102201112 (base 3) in base 11?\nAnswer: -32aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -116 + 131. Let c(f) be the first derivative of 11\/2*f**2 + 0*f**4 + 0*f + 6\/5*f**l + 0*f**3 + 1. What is the second derivative of c(w) wrt w?\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325923?\nAnswer: 3, 13, 61, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37 in 1, 7\/5, 3, -2\/13, 2\/85?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a week in minutes?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 89*l**3 - 39 + 18.\nAnswer: -89*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 2:13 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 745736 divided by 248?\nAnswer: 3007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or 4696682?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -3, 0.5, 13, -1\/185, -0.3, -189?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 172, 173, 190, 235, 320, 457, 658?\n\"Answer: 2*x**3 - 4*x**2 - x + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from qxqqvxqxqqqfxxx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -660 - -1080. Let x(v) = -40*v**2 + 425 + l - 845. Let o(p) = 5*p. Calculate x(o(f)).\nAnswer: -1000*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 + 18. Let a = o + -4. Let u = 87 - a. What is the remainder when 71 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-20) - (-78078)\/(-2862860).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5)\/(k**(2\/13)\/k)*k*k**(1\/2)*k*k**(2\/31))**(-36))**(-2\/35) assuming k is positive.\nAnswer: k**(-6588\/2015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + 4 + -31 - (-27 + 5 + (-5 - -10)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 42*c**2 - 52*c - 450. Calculate the remainder when 18 is divided by y(-41).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10163 is divided by 91?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 4*x - 18. Let w be l(-7). Suppose 0 = w*k - 3*u + 190491, -k - 11*u = -8*u + 63509. What is k rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 5:34 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.425523 rounded to 0 dps?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*-1*sqrt(1539)*-2 + -2 + -1)**2*2.\nAnswer: -144*sqrt(19) + 49250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 not equal to 78\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000 + 100111110101000111001?\nAnswer: 100111110101000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77177 is divided by 77156?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195 a factor of 2760810257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -145780379 divided by 6\nAnswer: -145780379\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 25*f + 18. Let u(a) = 51*a + 36. Let d(x) = -2*u(x) + 5*w(x). Let k be d(-5). Let q = k + 151. What is the greatest common factor of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 652320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12644)\/(-4360) - -21*6\/(-36))*(1 - 46).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 1380 = 4*j + 4*z, 2*j = -4*z + 690. What is the remainder when j is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8064 rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -33, -38, -43, -48?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 175 + 580. Let o = k - 61. Suppose 33*v - 35*v + o = 0. Calculate the smallest common multiple of 4 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8502 is divided by 3649.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**4\/4 - 4*i**3\/3 - 831*i. Let c(u) = -u**2. Determine c(l(b)).\nAnswer: -9*b**4 + 48*b**3 - 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6627351?\nAnswer: 3, 2209117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**3 + r**2 - r - 1. Let h be j(-1). What is the greatest common factor of 15 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001111011101011100100 - -1?\nAnswer: 11001111011101011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-17)*(-3757)\/(-2431).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by 63.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + 13 + -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 7:23 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79092151 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 4:25 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 210543 (base 6) to base 3\nAnswer: 212101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 5 + 1\/3*u**3 + u**4 - 3\/2*u**2 + 3*u. What is the units digit of w(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12690040 divided by 8.\nAnswer: -1586255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l - l)*(-2 - 4 - 3)*(-2*l**3 + 3*l**3 + 0*l**3).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + j + 1. Let m(x) = x**2. Give m(l(o)).\nAnswer: o**4 - 2*o**3 - o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -0.2, 12, 0.3, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -234053249*b*j**2 + b*j + 120576470*j**2 + 3 wrt b?\nAnswer: -234053249*j**2 + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2061253083 rounded to 2 decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ed (base 16) to base 8.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510755 is divided by 170237.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.103592 to one decimal place.\nAnswer: 15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/5)*a\/a**(-7)*a**0*(a*a**5)\/a*(a**(1\/4))**(-3\/5)\/(a**(-1\/8)\/(a*a**(5\/4))) assuming a is positive.\nAnswer: a**(593\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 814 - 396. Let h be 3\/9 + r\/33. Sort -5, -3, h in decreasing order.\nAnswer: h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**3\/6 - 109*z**2\/2 - 11881*z\/2 + 236. Factor r(v).\nAnswer: -(v + 109)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from {a: 1, j: 1, v: 1, r: 1, q: 8, u: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2135, 0, -4 in decreasing order.\nAnswer: 0, -4, -2135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 15*s**2 - s + 89. Give f(-9).\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 30 = 18*j - 17*j, -4*s = -j - 3. Determine y so that 0*y - 4\/5*y**s - 2\/5*y**4 - 2\/5*y**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 6*r - r = 20, 0 = -5*r + 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19648 is divided by 73.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 408797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.47164 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-400)\/18 - 2\/(-9). Suppose p + 2*b = -200, -3*b = -5*p - 772 - 280. Let z = o - p. List the prime factors of z.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {g: 3, h: 1, f: 6, j: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 34*l**2 + 2*l + 2. Let g(t) = -68*t**2 - 4*t - 5. Determine -7*f(a) - 3*g(a).\nAnswer: -34*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29185265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-2*c + 3*c - 3*c)*((-c + c - 2*c)*(-5 + 2 + 4) - 795 + 49*c + 795)*(4*c**2 - 4*c + 4*c + (1 - c - 1)*(c - c - 2*c)).\nAnswer: -564*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -487, 1 in decreasing order.\nAnswer: 5, 1, -3, -487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -1043, -16, -47, 3 in decreasing order.\nAnswer: 3, 0, -5, -16, -47, -1043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -432 + 648. Let h = 230 - n. Suppose -2*k - 4 = -32. Is k greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123553307 is divided by 87?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 23*g + 100. Give q(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + o - 33, 3*v = -5*o + 2 + 10. Suppose 2*h + v + 5 = -d, -2*h + 6 = -d. Calculate the common denominator of 54\/5 and (498\/8)\/(75\/d).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 - 3*t**2 + t. Let f be d(2). Let u = 15 - f. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33920 and 968000.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -44028 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4573043505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (1 + (sqrt(68) + -2 + sqrt(68) + sqrt(68) + sqrt(68) - sqrt(68))))*2 + 5*((sqrt(1088) + sqrt(1088) + 2)*6 + sqrt(1088))**2)*-4.\nAnswer: -3680328 - 49888*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -10\/17, -0.19415 in decreasing order.\nAnswer: 88, -0.19415, -10\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(2994*a**3 + 827287 - 827287).\nAnswer: 2994*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.493565432 to five decimal places.\nAnswer: -1.49357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 4 in ascending order.\nAnswer: -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*u + 1527 + 47 = -634. What is the remainder when 295 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7052 is divided by 168?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -2*n. Let p = -15 - -11. Put 0.4, n, p in increasing order.\nAnswer: p, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - -1 - -14195397 - (107 - -1)\/(-36). Round w to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4748782 is divided by 1582898?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/558725 and 89\/18830.\nAnswer: 2104158350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 8*d - 10. What is the remainder when 31 is divided by -2 + -4 + d - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*c - 64*c**2 + 122*c**2 - 62*c**2 to the form l*c**2 + w*c + z and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3, 3*p + 165 = 4*j - j. Let h(z) = 60*z**2 + 7*z - 3. Let o be h(-1). Let u = j - o. Solve -u*x + 8 = 2*s, 5*s + 8 = -12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551842.\nAnswer: 2, 275921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 213.8 (c) 2\/5 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14\/5 + -23\/10. Let x(u) be the second derivative of v*u**2 + 0 - 2\/3*u**3 + 4*u. Differentiate x(r) wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*t + 9, -g + 5*t + 1 + 14 = 0. Let m(c) = -c**2 - 1. Let y(u) = -4*u**2 - 7*u - 1. Let p(v) = -5*m(v) + y(v). Give p(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 5*t + 6. Suppose 2*w + 0*w + 14 = 0. Let j be a(w). Let f(y) = -2*y - 7. What is the units digit of f(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 847085.4 decades to centuries.\nAnswer: 84708.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -3, 283.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 121 = -131 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 7:45 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 289910 and 15635?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**6\/360 + j**5\/24 + 8*j**3\/3 - 4. Let u(w) be the third derivative of t(w). Determine u(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 2a?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x = -38*x - 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 88 + 5 = 0. Let l = a + -19. Calculate the remainder when (-93)\/(-2) + (-2)\/4 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 858*21.8.\nAnswer: 18704.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3335 a factor of 138699315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74925.74 - -0.3.\nAnswer: -74925.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0043111817 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 737 - 645. Calculate the highest common divisor of 161 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 3983 - 3983.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -492.\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 6*y**5\/5 - 20*y**4 + 208*y**3\/3 - 32*y**2 - 160*y + 445. Solve z(q) = 0.\nAnswer: -2\/3, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 1 (c) 2 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-294)\/(-7))\/((-448)\/(-96)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 348*o**2*q**3 + 78*o*q**3 - 2*o*q - q**3 wrt o.\nAnswer: 696*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -36*c - 4. Let p be w(-3). Let d(j) = 3*j - 5*j + p + j - 9. Is d(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 53\/4 of a kilometer?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) -3.6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + sqrt(567)*1 + 2 + 4 + -4.\nAnswer: 7 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqoggoeoggororrr. What is prob of sequence rq?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-26*(-54)\/(-72))\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 137\/(-70) - (-1)\/(-10).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -6 - (-4 + 0 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(275) + -1 + sqrt(275) + 5 + sqrt(275) + -4 + (sqrt(275)*3 + sqrt(275))*-4 + (sqrt(275) + 2)*6)*-1)**2.\nAnswer: -560*sqrt(11) + 13539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s**2 - s - 1. Suppose -21*u = -26*u + 20. Suppose u*d = 2*d - 2. Determine m(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228769840 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-1) - (-16 - 5928\/(-330)). What is the nearest to 1\/2 in 0.4, 0, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 4942.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(30)\/sqrt(6) - sqrt(5))*-2 - (sqrt(5) - (sqrt(5) + sqrt(1620) + sqrt(45))**2).\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4568, 9026, 13364, 17588, 21704, 25718, 29636?\n\"Answer: h**3 - 66*h**2 + 4649*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (-5 + -6 - (1 + -1 - 3)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18172775.\nAnswer: 5, 726911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (9 + (-315)\/195)*13\/2\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 52493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.3, -29, 2\/23, -11, 1 in increasing order.\nAnswer: -29, -11, 2\/23, 0.3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.367 + 6.367. Put q, -21.1, -2 in increasing order.\nAnswer: -21.1, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25263 (base 10) to base 9.\nAnswer: -37580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249271.11 months to years.\nAnswer: 20772.5925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 7:38 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(4\/13)*d*d**(-9)*(d\/(d\/d**(-11)))\/(d*d*d**7*d*d) assuming d is positive.\nAnswer: d**(-381\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 22*m**2 - 29*m + 180. Let b be f(21). Sort -2, b, -3\/11, 0.5, -0.4.\nAnswer: -2, -0.4, -3\/11, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 167.3 + -167. Which is the closest to 0.2? (a) 5 (b) -2.7 (c) n (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145529285 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -27*q - 10. What are the prime factors of k(-10)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*w + 760*w = 20*j - 6*j + 386*w - 182, -2*j + 26 = -w for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.72461 - -0.32461. What is the nearest to -1 in -6, m, 6, 49?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2439555*n - 1481123?\nAnswer: -2439555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -2\/7 (c) 9 (d) -5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -28*j**3 - 17*j**2 + 11*j + 7. Calculate a(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -55\/2. Let p = 502\/3 + -166. Let w = -8.4 - -11.4. Which is the nearest to y? (a) 1 (b) w (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90319.\nAnswer: 181, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336952?\nAnswer: 2, 7, 11, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/34 <= 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8298175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*o - 2500, -28*w + 32*w = 4*o - 2000. Calculate the smallest common multiple of 16 and o.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 173 = -41*w + 38*w, 154 = -4*y + 5*w. What is the second biggest value in 0.5, y, -0.5, -37?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**3 + 2*w - 1. Let q be l(1). Let t = 18 - q. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20355 is divided by 183.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbbob. What is prob of picking 1 b and 1 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 92, 108, 124, 140, 156?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from yegyyyepreyyyreyryy.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8452807 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-3 + 0 - -2 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*q**3 - 3*q**3 - 3*q**3)*(16 - 16 + 9*q) + (-2*q**3 + q**3 - 3*q**3)*(2*q - 3 + 3) to c*q**2 + z*q + b + l*q**4 + s*q**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - 614*y**2 + 1216*y + 1883. Give t(305).\nAnswer: 663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*-2*5\/(-10). Suppose -2*j - 16 = h*j. Let t = 8 + j. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353319 a multiple of 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1b897 (base 12) to base 15\nAnswer: c241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.56667? (a) 0 (b) 1\/2 (c) -7 (d) -4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b4 + 28?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*l = -3*i - 12, -i = -2*l + 4. Solve l*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -318, -7\/664, 2\/9?\nAnswer: -7\/664","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.13 - 0.13. Let d = -7\/15 - -121\/195. Let t = -3 - -6. What is the closest to l in 1, d, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3701 divided by 32?\nAnswer: 3701\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by 797116\nAnswer: 13\/199279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 8 = -3*j + 1, -4 = -4*j - 2*a. Let n(v) = -2*v - 8. Let l(t) = -3*t - 9. Let s(q) = -5*l(q) + 6*n(q). What is the units digit of s(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25828, -52033, -78238?\nAnswer: -104443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25360.29 + 25465. Round s to the nearest integer.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6345, 6334, 6311, 6270, 6205, 6110?\n\"Answer: -u**3 - 4*u + 6350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*b = 7*b + 34, -3*h - 34 = -b. Let l be (8\/(-6))\/(h\/18). Solve w = -w + l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38129 or -38109?\nAnswer: -38129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51c8c + 36?\nAnswer: -51c56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -341393*f**3 + 1238*f**2 + 66*f + 17 wrt f.\nAnswer: -2048358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 202 + -201.13. What is v rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 124762100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1804886 times 43.8?\nAnswer: -7.90540068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g + 275539108 + 658791670 = -724087222. Round g to the nearest one hundred thousand.\nAnswer: -48800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11500, -24973, -38446, -51919, -65392, -78865?\nAnswer: -92338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 7 + 22 = 0. Let v(m) = 2*m**2 - 7*m + 3. Let h be v(5). Is 5 a factor of 3\/h*-4*r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -15*p**5\/7 + 18*p**4 - 141*p**3\/7 - 810*p**2\/7 + 912*p\/7 + 1440\/7 = 0.\nAnswer: -2, -1, 12\/5, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**7\/1260 + f**4\/24 + f**2. Let x(h) be the second derivative of y(h). Let i(l) = -3*l + 0*l + 0*l. Determine x(i(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1088 (b) -1.8 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.6498738t?\nAnswer: 649873800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -2\/9, -3\/8, -4\/3, -1\/2, 248?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*d - 1. Let v(i) = i**2 - 19*i - 245. What is the lowest common multiple of d and v(-10)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4549 + 1.522078\nAnswer: 4550.522078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 b, and 2 n when four letters picked without replacement from {x: 8, b: 1, z: 6, n: 4, v: 1}.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010011 + 1011?\nAnswer: -10001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*2 - ((-75145)\/(-2100) + -28). Let r(w) be the third derivative of 1\/4*w**4 - 1\/24*w**6 + 0 + 0*w + 0*w**3 - y*w**5 - 10*w**2. Factor r(a).\nAnswer: -a*(a + 3)*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77966 equal to 78340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2. Let w(v) = 157*v - 270*v - 89*v. Calculate c(w(d)).\nAnswer: 40804*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 67.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3176 and 300.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(65))\/((sqrt(5) - sqrt(2880)) + sqrt(5)).\nAnswer: 2*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*s - 3. Let b be s - -6*2\/3. Suppose 2*t + b*g = g, t + 10 = -3*g. Solve t*z - 23 = 2*f, -2*f + 19 = z - 6*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4623 (base 13) in base 16?\nAnswer: -2667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 966140.\nAnswer: 2, 5, 7, 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 13*i**4 + 4*i**3 - 4*i**2 - 14. Let q(z) = z**3 - z**2. Let u(a) = l(a) - 4*q(a). What is the derivative of u(o) wrt o?\nAnswer: 52*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*14\/420*20?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 164142.7 to the nearest 100.\nAnswer: 164100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 75176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**27\/c)\/c*c**(-27))\/((c**(4\/7)\/c)\/((c*(c*c*((c**26*c)\/c*c)\/c*c)\/c)\/c)))**(-5\/6) assuming c is positive.\nAnswer: c**(-160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**2 + 4*l - 8. Let b be r(-8). Suppose -2*k - 2*c = -0*c - 90, -4*k + 5*c = -b. Let v = k + -35. What is the remainder when 68 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3880 and 145010.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.32569363 rounded to 3 decimal places?\nAnswer: 3.326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/5121 and 20\/81.\nAnswer: 46089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 498*z + 108 - 42 - 1116*z**4 - 33 - 32 + 291*z wrt z.\nAnswer: -13392*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -50\/120411?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2799502 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 10018936 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**3 - 2 - 1248966*y + 1248966*y.\nAnswer: 6*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3))**(-10)\/(t**3*t*t*t\/(t\/(t**(-4)\/t))) assuming t is positive.\nAnswer: t**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -10. Let p be 15\/12*k\/(-10). Factor 0 - 15\/2*s**4 + 9\/2*s**5 + 3\/2*s**2 + 0*s + p*s**3.\nAnswer: 3*s**2*(s - 1)**2*(3*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430*b - 178*b = 33137 + 29487 for b.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 - 269*t**2 + 684*t - 125. Give p(-137).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7219\/42 - 172. Is 0 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -483 (b) 351 (c) 4\/5 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.07, -2\/3, 6\/7, -6, 7, 4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85076979?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -124, -119, -110, -97, -80, -59?\n\"Answer: 2*n**2 - n - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 258 and 5?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psz when three letters picked without replacement from aazbspsapapbcps.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwhwfpn. Give prob of picking 2 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, 16, 123, 266, 457, 708?\nAnswer: 1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 726891947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + k**2 + 2*k. Let y be x(2). Suppose -4*f + y - 4 = 0. Suppose 5*v = -f*j + 225 - 8, 2*j + 2*v = 150. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112020321 (base 4) to base 8.\nAnswer: 261071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y - 11. Let v = -10 - -39. Let z = -27 + v. Let k(j) = 6*j - 14 + j - z - 3*j. Determine 5*k(n) - 7*x(n).\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11719 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 - -65. Sort 1, y, 3, 5 in increasing order.\nAnswer: y, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/29193 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3767*w**3 + 3915*w**2?\nAnswer: -22602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -29, -17, -5, 7?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/54)\/(2519\/22671))\/(8\/354).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -29*o**2 - 4*o - 8. Let m be a(-2). Let r be ((-1)\/m)\/((-2)\/4). Which is greater: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*r = 22. Let a(d) = -d**3 - 10*d**2 + 11*d - 3. Let f be a(r). Let m = 20 + f. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(76)\/sqrt(4) - (sqrt(133)*-2)\/sqrt(7) - (sqrt(57) - sqrt(285)\/(sqrt(30)\/sqrt(6)))\/sqrt(3))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)\/a)**(-33\/2))**(-11)*((a**1\/a*a)**(1\/11))**(-4\/9) assuming a is positive.\nAnswer: a**(-35941\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3)**(2\/19)*v\/(v*v**(-4))*v\/((v*v**(-1))\/v) assuming v is positive.\nAnswer: v**(120\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*o - 2063*o + 7473 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 13 - 15)\/1*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 237, -1, 2\/127, -2\/3?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxssvvssssxxxssxx. Give prob of picking 3 x and 1 s.\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -43 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**6 - 23718300*i**3 + 6*i**2 - 810967*i - 1 wrt i.\nAnswer: -240*i**3 - 142309800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 261, -1\/5, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*1*3 + 1 - ((1 + sqrt(1088))**2 + sqrt(425)*-6)) + 3.\nAnswer: -1085 + 41*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/61 in 1\/5, 6, -340, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/4 + 3\/6. Suppose 3*t = 2*h - 5*h + 8112, -5*h = m*t - 10821. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 0, 3*v + 0*v - d = -33. Let o(w) = -5*w**2 - 14*w + 8. Let m(r) = r**2 + r - 1. Let u(l) = 4*m(l) + o(l). Calculate u(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 967.9429 nanograms?\nAnswer: 0.0000000000009679429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -22*o**5\/5 - 215*o**4\/12 + 146*o + 45. Let w(x) be the first derivative of y(x). What is the third derivative of w(t) wrt t?\nAnswer: -528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 601, -4, 2\/7 in decreasing order.\nAnswer: 601, 2, 2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 271600 and 3775240.\nAnswer: 37752400","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*-1*sqrt(1050) + sqrt(1050)))\/(2*sqrt(600)*-1 - sqrt(600) - (sqrt(600) - (sqrt(600) - 5*sqrt(600)*-1))).\nAnswer: -5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(f\/(f\/((f\/(f\/(f*f*f\/f**(-3\/10)*f*f))*f*f)\/f*f)))))\/(f*f**1*f)*f**3*f*f*f**(-6\/13))**(-37) assuming f is positive.\nAnswer: f**(-37703\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -9. Suppose i = 2*t - 9 + 1. Calculate the common denominator of 45\/4 and (267\/t)\/((-3)\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74625*h**4 + 245509*h wrt h.\nAnswer: 895500*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i**2 - 78*i + 3051. Is f(53) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -533513041?\nAnswer: -533513042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(3\/5)*k*k)\/k**6)\/((k**1*k)\/k**(-1\/14)))**(-35) assuming k is positive.\nAnswer: k**(313\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:57 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30515 and 1945421.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2, -2*o - y = 2*y + 100. Let h = 52 - o. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4081 - 0.0663.\nAnswer: -4081.0663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1836)\/(-921) - -1) + -3. Let l = o - 592\/3377. Suppose 9*p = 4*p. Which is the nearest to p? (a) -1 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3659367 is divided by 1116.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1900 or -1901?\nAnswer: -1901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49\/62851 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -3\/2 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -10504, -4, -7 in ascending order.\nAnswer: -10504, -7, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464702921?\nAnswer: 464702921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 760281\/3424 smaller than 221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 331754, 1\/3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*l - 5*s - 11, -104*s + 19 = -3*l - 109*s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -119*h - 602. Give s(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10042, 22705, 40624, 66427, 102742?\n\"Answer: 438*n**3 + 9597*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2467370 minus 71?\nAnswer: -2467441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/396 and 47\/24.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1546820*t**3 + 540568*t wrt t.\nAnswer: 9280920*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 648743477 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084817625.\nAnswer: 3, 5, 2892847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, 57, 125, 219, 339, 485?\n\"Answer: 13*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13221000*b**2 - 7586694*b.\nAnswer: -26442000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2691 is divided by 250\/4*(-732)\/(-305).\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10 - 4\/10. Let h = 2 - z. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 59 - 2*k**3 - k**2 - 38 - 9*k**2.\nAnswer: -2*k**3 - 10*k**2 - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2.559*0.1\nAnswer: 0.2559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 134\/(-12) - (3\/7 + (-325)\/546)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2681, -5367, -8051, -10727, -13389, -16031?\nAnswer: -18647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 3*t**8\/28 - t**4\/12 - 6*t. What is the third derivative of v(j) wrt j?\nAnswer: 720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + 1*sqrt(1080) + sqrt(60)\/sqrt(2)*-1)\/(-3*(sqrt(360) - (sqrt(360) + sqrt(360) + sqrt(360)*2)))*5*-6.\nAnswer: -10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1714*x + 285. Is s(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1) - (-111)\/(-74)*24\/9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (sqrt(91) - -2*sqrt(91) - sqrt(91)))*5 - -3*sqrt(91)*-5)\/(sqrt(77)\/sqrt(11)*2 - sqrt(7) - 1*sqrt(343)).\nAnswer: 10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/2 - (-22817)\/(-76). Let t = y - -1209\/4. Let c = 523\/380 - t. What is the common denominator of c and -39\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.173 + 0.027. What is the closest to 2 in s, -2\/11, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2066.2204510489.\nAnswer: 2060.2204510489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1080*t**4 - 566*t**3 + 11186563*t wrt t.\nAnswer: -12960*t**2 - 3396*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5151)\/(-867) - (-3)\/51) + 6)\/7.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w + 5. Give j(-12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9126474, -9126472, -9126468, -9126462?\nAnswer: -9126454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-714)\/(-221) + (-170520)\/1911?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 292109534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.0031933cm?\nAnswer: 31.933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 142229.\nAnswer: 5\/142229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w + w - 3*w)*(-w + 2 - 2) - 10 + 8*w**2 + 10 + 0*w**2 - 3*w**2 + 2*w**2 to the form q + d*w + r*w**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/(-6))\/((-2)\/8). Let w be (-25)\/u + 2\/(-4). Solve w*g = -2*g - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {z: 11, k: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08374 - -0.11626. Which is the nearest to -1\/3? (a) 0.16 (b) o (c) 3\/8 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/(-16))\/(-5)*(-11484)\/(-25839)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(792)*4)\/(sqrt(539)*3).\nAnswer: 8*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1979638.\nAnswer: 2, 139, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11914 = -0*k + 2*k - 4*a, 23807 = 4*k - a. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -823, -777, -731, -685?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**3 + y**2 - y. Let l(p) = 10*p**3 - 2*p**2 - 10*p + 6. Let k(a) = -3*j(a) + l(a). Suppose 3*m - 6*m + 18 = 0. Give k(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 226395 - 58122. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17990 - 26309 = -1143*y + 28257 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 63*l. Let u(w) = -2*w**2 + 41*w. Calculate x(u(z)).\nAnswer: -126*z**2 + 2583*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*f - 60*f + 131*f)*(-3*f + 3*f + 3*f - 2*f + 0*f + 0*f + f + f - 4*f + (2 - 4 + 4)*(4*f - f - 4*f) - 5*f + 2*f + 2*f + 0*f + 6*f - 4*f).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58734 is divided by 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -1, 0, 9\/7, 1\/2, -6\/121 in descending order.\nAnswer: 9\/7, 1\/2, 1\/3, 0, -6\/121, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -256, 10\/9, -144, -0.04.\nAnswer: -256, -144, -0.04, 10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*o = -19, 12 + 10 = -f - 5*o for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2. Let h(a) = a**2 + a**3 + t*a**2 - 2*a**3. Calculate the remainder when 22 is divided by h(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50261 greater than -50262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 4*l + 20. Suppose -4*f + 2*h = -6, l*f - 5*h - 4 = -h. Let d(i) = 3*i**f + i + 2 - i**2 - i**2 - 4. What is d(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 313*p**2. Let j(y) = 4*y + 50. Let f(u) = 15*u + 225. Let g(x) = 2*f(x) - 9*j(x). Calculate g(t(v)).\nAnswer: -1878*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -143, -196, -249, -302?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 16997 and -32 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {i: 2, x: 5, y: 2, d: 4}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 15 + -82 + 93?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = a - 128, 2*a - 3*l = 253 + 2. Suppose 5*w + a = b + 468, w = 2*b + 72. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(-5*m**2 - 16*m**2 + 32*m**2)*(-1 - 4 + 4)*(-2*m + 2*m - 3*m).\nAnswer: 66*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2540369 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 531869000 rounded to the nearest 1000000?\nAnswer: 532000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/4)\/(3\/8). Suppose 5*b - 30 = -n + 6*n, -3*b = -5*n - 26. Suppose -4*c + 2*c - 3*z = 16, -3*c - 5*z - 25 = 0. Put b, c, u in ascending order.\nAnswer: c, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 9*q - 104. Calculate the common denominator of -62\/25 and (-13 - q) + 74\/40.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrm when three letters picked without replacement from {r: 7, m: 2, q: 11}.\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13309849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 106175 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5 - 7 = 0. Let v(j) = 4*j**2 + j. Let m be v(-1). Suppose m*l - 66 = -r*k - 3, 5*k = -l + 8. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -8*c - 18. Suppose -3*d - 8*j = -7*j - c, -14 = -4*d + 2*j. Solve -4*y + d*n = -12, 3*y - y - 6 = -n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 1. Let y = -3 - -3.9. Let j = -1 + y. Which is the nearest to j? (a) -5 (b) t (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3467 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1338432 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1084*m = 31076 + 11200 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 235, 364, 509, 676, 871, 1100?\nAnswer: 1369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42757 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 9:54 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -55*y**2 - 19*y + 5801. Let r(k) = -11*k**2 - 4*k + 1162. Let c(f) = -2*j(f) + 11*r(f). Find the first derivative of c(s) wrt s.\nAnswer: -22*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176459119?\nAnswer: 109, 1618891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -1\/5 (b) 0 (c) -0.06 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -g + 86, -3*s + 48 = -g - 20. Suppose 6 - s = -3*y - 2*f, -2*y + 4*f = 0. Calculate the highest common divisor of 8 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5\/2 + 178*q**4 + 10256*q**3 - 43144*q**2 + 43848*q = 0.\nAnswer: -54, 0, 2, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = 96 - 47. What is the remainder when 222 is divided by o + (6 - -28) - -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 266256 and 36.\nAnswer: 266256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**3 - 8*t**2 - 11*t + 1. Let m(g) = g**3 - g**2 - g. Let f(q) = 4*m(q) - w(q). Determine f(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 + 47*z**2 + 112*z - 82. Let w(l) = -l**3 + 24*l**2 + 56*l - 41. Let d(h) = -6*n(h) + 13*w(h). Is d(30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l**2 + 9 - 9)*(-98 + 440 + 305).\nAnswer: 4529*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -56?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2660 by -19.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-6) - 2\/4. Suppose r*h = -5*x + 30, 11*x = 7*x - 2*h + 24. Calculate the remainder when 8 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(147) - (2 + (sqrt(147) + sqrt(147)*-1 - sqrt(147))) - 2*sqrt(147)*1))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 12*s + 68 = -8*y, -3*y - 21 = s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3311619713 to the power of 1\/2, to the nearest integer?\nAnswer: 57547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 6) to base 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-738)\/(-4264)*-588 + (120\/39)\/4\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 381274772*i**3*m - 183438077*i**3 wrt m.\nAnswer: 381274772*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 13*g = -165. What are the prime factors of g?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -4. Let a(j) = -j + 2. Let c be a(0). Find the third derivative of w**3 - 4*w**2 - c*w**3 + m*w**2 wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 32*r + 706. Let q be x(-22). Factor -2*a**3 - 1\/7*a**5 - 2\/7 - 9\/7*a - 16\/7*a**q - 6\/7*a**4.\nAnswer: -(a + 1)**4*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 12*n**3 + 12*n**2 + 5*n - 40. Let x(j) = -j**3 + j**2 - j + 1. Let b(u) = w(u) + 5*x(u). Is b(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348 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 d(i) = -8*i**4 + 7*i**3 - 6*i**2 - 35*i - 23. Let r(u) = 11*u**4 - 6*u**3 + 7*u**2 + 36*u + 24. Let j(l) = 4*d(l) + 3*r(l). Let j(y) = 0. Calculate y.\nAnswer: -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 5*m**2 - 5*m + 6. Suppose 4 = -3*t + 4*t. What is w(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66*n*q*v**2 - 946*n*v**2 - 5*q*v**2 - q - 5704*v - 1 wrt n.\nAnswer: 66*q*v**2 - 946*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 729310\/(-8)*2\/40. Let m = w + 4561. Let h = 1155553 + -25422239\/22. Calculate the common denominator of h and m.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 v, and 1 m when three letters picked without replacement from {s: 1, v: 3, y: 4, m: 6}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -70, -135?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109996063*q*z**2 + 13577*q*z - 38*q - 13*z wrt z?\nAnswer: 219992126*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31 and 11482.\nAnswer: -355942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17347169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1. Let p(w) = 3*w**2 + 6. Let f(u) = p(u) - 4*r(u). Find the first derivative of f(i) wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*c - 118*c = -3*y + 6, y = -4*c + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -13*o**2 + 6291*o + 18990 = 0.\nAnswer: -3, 6330\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40 + 9 + 13)*(n**2 - 2*n**2 + 2*n**2) + 0*n**2 - 4*n**2 + 5*n**2 + (0*n - n + 4*n)*(-3*n + 5*n - n) as u*n**2 + d*n + z and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46.84 - -47. Let i = 122 + -1585\/13. Let u = -9\/52 - i. Which is the closest to q? (a) -2 (b) u (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -9*s - 114. Let z be k(-13). Which is the closest to 24? (a) z (b) 1\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*49.8.\nAnswer: -0.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*g + 145\/3*g**2 - 7*g**3 + 1\/3*g**4 + 250\/3.\nAnswer: (g - 10)*(g - 5)**2*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((-47 - -28) + 6)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*c**2*i**2 + 11*c**2*i*s + 4*c*i**2*s - 186*i**2 - 7665*i*s wrt i.\nAnswer: -94*c**2 + 8*c*s - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*-1 + (-12)\/(-2). Suppose -5*z + 81 = -b*z. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*o + 554 = 26*o - 398. Let w(u) = -u**3 + 14*u**2 - 3*u - 13. Give w(o).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 20\/(-12))*9. Suppose -2*p + 136 = 2*p. Calculate the smallest common multiple of z\/10 + 46\/10 and p.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 879*o + 188048.\nAnswer: (o + 368)*(o + 511)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mooo when four letters picked without replacement from {o: 12, m: 3}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + -8. Suppose 3*i - 61 - 59 = 0. Let k = b + i. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*((0 + sqrt(192) + 0 + (sqrt(192) - -2*sqrt(192)*6))**2 - ((-3 + sqrt(192) + 1)*-1)**2)*-2.\nAnswer: -299488 - 256*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47693?\nAnswer: 37, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 3*m**2 - 6 - 9*m - m**2 + 5*m**2. Let o = -16 + 24. Let l be a(o). What is the highest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -120.405.\nAnswer: -602.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/2213 and -33\/527.\nAnswer: 1166251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/78)\/(294\/(-36309)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 0.3 (c) 2.65676\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3 - 7. Let x(c) = 2*c**2 + 9*c + 18. Let f be x(-2). Let m(j) = 6*j - 12*j**w + 2*j - f*j. Let d(b) = b. Give m(d(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 117400553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmmuhmuh. What is prob of sequence hhm?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 287 (b) 11 (c) -1\/4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.082705242 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (875\/91 + -9)*(-6)\/(42\/(-91))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(10\/5125))\/((-8)\/128). Let m = 1333 + u. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**4\/12 - 11*p**2. Let d(q) = q**2 - 16*q + 2. Let c(l) = d(l) - 5*j(l). Let n be (-20)\/(-6) - (-2)\/3. Give c(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/2)\/(-31 - -29). Solve -11 = 2*x + 3*n, -21 = i*x + 5*n - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883676 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 196 - 200. Let f(t) = -2*t**3 - 3*t**2 + 4. Let q(d) = -4*d**3 - 5*d**2 + 7. Determine w*q(x) + 7*f(x).\nAnswer: 2*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99 - -93. Is (x\/40)\/8 - (-154264)\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*h + 37262 = 37224, 0 = -19*s - h + 74 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 9*v + 514. Let c be h(-36). What is the highest common divisor of 90 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6 - -1) + (2\/1 - -1582)?\nAnswer: 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -599*n**2*r**2 - 2594*n**2*r - 4*n**2 + 501335*n*r**2 + 6*n*r wrt n?\nAnswer: -1198*r**2 - 5188*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13907 is divided by 1851.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -994281, -1988562, -2982843?\n\"Answer: -994281*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxlxxlxxwxkllx. Give prob of sequence xlxx.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = 2*v + 2*z, -2*v + 7*z = 5*z - 306. What is the remainder when v is divided by 43?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3*a - 170 = -c, 58*c + 6 = -a + 82*c for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 8:09 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11740 and 520.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38280555?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 570*r**2 + 227 + 6*r - 78*r**2 - 232. Is z(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(170) - -1*sqrt(170)))\/sqrt(10)*2)**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 12. Let g(u) = -u**2 + 7*u - 7. Let b be g(l). Let k = 19.7 + -20. What is the nearest to b in k, 2\/7, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*i + 7 = 189*i - 3*q, 5*i - 7 = 2*q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + u + 19694611, -2*u - 3938915 = -p - 0*u. Suppose -8*j + 14781077 = -p. Round j to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 288 - 184. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*k - 97 + 139 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4278 + 4277.98. Which is the third smallest value? (a) -3 (b) r (c) 3.2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a + 34. Let b be y(-3). Let f(t) = 21*t**2 - 13*t - 17. Let x(s) be the first derivative of 10*s**3\/3 - 3*s**2 - 8*s - 4. What is b*x(k) - 6*f(k)?\nAnswer: 4*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 12. Let y be a(-8). Let n = 2\/1217 + -3659\/4868. What is the nearest to 46 in n, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -70 + 70 - 22*n**3 + (-2*n + 4*n + 0*n)*(-n**2 + 6*n**2 - 3*n**2) + (9*n - 4*n**2 - 9*n)*(-8 + 8 - 4*n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 427197975, 854395953, 1281593931, 1708791909?\n\"Answer: 427197978*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 27*l**2 - 294*l + 5. Calculate a(-35).\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3))**(-36)\/(((d*d*d**15)\/d)\/((d\/(d\/(d**(-9)*d)))\/d)) assuming d is positive.\nAnswer: d**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56281207*g**3*z**3 - 348*g**2*z - 2*g*z**3 + 872*g*z + z wrt g.\nAnswer: 337687242*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -101*g**3\/3 + 8591*g**2\/2 - 6762. What is the second derivative of n(j) wrt j?\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 8350?\nAnswer: 33400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 2*q + 2*q. Let v(h) = 30265*h - 15126*h - 15134*h. Calculate v(o(b)).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10643500 to the nearest integer?\nAnswer: 3262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 108*s**5 + 3036*s**4 + 10148*s**3 - 12316*s**2 - 2896*s + 1920 = 0.\nAnswer: -24, -5, -4\/9, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 18 = 7*w. Suppose -w*a + 8*a + 3 = 0. Suppose 0 = -6*l + a*l + 9. Solve -5 = -2*r - l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24310 (base 6) to base 4\nAnswer: 313302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 493114 + -335756. Suppose r - 707564 = -k. Suppose -r = -g - 110206. What is g rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**6\/15 - b**5\/10 + b**4\/12 + 3*b**2\/2 - 3*b. Let u(x) be the first derivative of v(x). Factor u(d).\nAnswer: -2*d*(d + 1)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4445 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-603)\/5)\/((-16)\/(-1528)). Let i = -11527 - g. Find the common denominator of 19 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 15585237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -6ac5b?\nAnswer: -6ac57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -50\/11, 0.2, -5, 2\/19 in increasing order.\nAnswer: -5, -50\/11, -1, 2\/19, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o + 10. Suppose d + j - 59 = 0, 5*d - 8*j = -4*j + 268. Suppose -51*q - d = -43*q. What is w(q)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1439121365?\nAnswer: 5, 11, 71, 33503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d - 79*d**2 + 2 + d + 76*d**2 + d in the form c + j*d**2 + w*d and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 - -386\/3. Let h(m) be the first derivative of 1 - 1\/4*m**4 + m - m**2 + r*m**3. Calculate h(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -136\/5. Let q be ((-2)\/(-6))\/(3\/(-2)). Which is the closest to 0? (a) -2 (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2. Let n(i) be the second derivative of i**3\/6 - i**2\/2 + 19*i. Let p(b) = -5*b + 2. What is u*p(d) + 3*n(d)?\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 21 = -2*h, -h + 55*u - 59*u - 17 = 0 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2*h - 7 = 0, -2328*h = m - 2323*h + 60 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3*(101 - 2). What is the highest common factor of 22 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b + 8*b = 17360. What is the greatest common divisor of 160 and b?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*d + 204 = 44*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884656?\nAnswer: 2, 55291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*n**3 - 9409*c**3*n + c**2*n**3 - 67*c*n**3 + 5*n**2 wrt c.\nAnswer: 12*n**3 - 56454*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 2*u**2 - 2*u + 2. Let l be q(-3). Let b be (30\/20)\/(l\/(-62)). Let f = b + -85. Calculate the highest common divisor of f and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 + 46*o**2 - 48*o**2 - 3*o**3 + 4*o**3 as b*o + t*o**4 + y + x*o**2 + k*o**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3102552816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 40810 divided by -1855\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 18. Let r be (-25)\/(-125)*(28\/2 - -1). Suppose 6 = -2*l, o + 19 - 24 = r*l. Put 0.2, o, 0.03, f in descending order.\nAnswer: f, 0.2, 0.03, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 230 - 145. Round l to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 1 - 21)*-2. Suppose -32 = -n - 2*n - q, 0 = -4*n - 2*q + z. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3171 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**3 - 6086*r**2 + 229102*r - 2169610 = 0.\nAnswer: 19, 3005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*p + 91*p - 2714 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y - 6. Let t = 9 - 16. Let l be d(t). Calculate the highest common factor of l and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j - 14. Let f(x) = 2*x - 7. What is -7*f(k) + 3*v(k)?\nAnswer: k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 93473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 64*h**5 - 2272*h**4 - 444*h**3 + 408780*h**2 + 609984*h + 228096 = 0.\nAnswer: -11, -3\/4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000084677 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + ((2*-1*sqrt(187) + sqrt(187) - sqrt(187)) + sqrt(187)*-1*-4)\/(5*(sqrt(1100) - sqrt(1100)*-1) + sqrt(1100) + sqrt(1100)).\nAnswer: sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1*6)\/(93\/(-93))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 1800*v**4 - 5340*v**3 + 7761*v**2\/2 - 828*v + 54 = 0.\nAnswer: 3\/20, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 2*s**2 + 0*s**3 + 13*s - 11*s - 3. Suppose -16 = x - 18. Give d(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6 - (10\/(-66))\/(-1)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91668702 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 28724124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**3 - z**2 - 8*z + 5. Let c(g) = -2*g**3 + 8*g - 5. Let k(s) = 3*c(s) + 2*i(s). Let m(b) = b - 1. Give -k(f) + 5*m(f).\nAnswer: 2*f**3 + 2*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12333860 to the nearest integer?\nAnswer: 3512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -918.6849 - -1.4849. What is u rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4610 (base 11) in base 5?\nAnswer: 143221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 3.1. Let t = -83 + 83. Let a = 213 - 212.6. Sort t, a, -1, z in descending order.\nAnswer: a, t, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 101493546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3817.\nAnswer: 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 630a57 (base 11) in base 10?\nAnswer: 1011501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 561701, 561687, 561673, 561659, 561645, 561631?\n\"Answer: -14*b + 561715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 256 and 192.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 61*f**5\/5 + 89*f**4\/4 + 339*f**2. Find the second derivative of c(m) wrt m.\nAnswer: 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from savvwvuaussaw. What is prob of picking 1 v, 1 a, and 1 w?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 433*o - 180132. Calculate b(416).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 9*g + 49. Suppose -q - 103 = -4*m, 2*m - 13 - 22 = -5*q. Calculate the remainder when o(9) is divided by m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8711348355831 and 1.\nAnswer: -8711348355830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -26. Differentiate -w + 6 + 15*r**4 - 16*r**4 with respect to r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 6:55 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5763237*u**2*v + 12*u**2 + 105*u - 1092 wrt v?\nAnswer: -5763237*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1. Let u(l) = 12*l**3 + 2*l**2 - 1. Let d be u(b). Let h = 3 - d. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7478856001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1180 is divided by 95 + ((-240)\/(-12) - 23)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-983 - -15) + 11)*(-38)\/6?\nAnswer: 11, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 2*f**2 + f. Let x(t) = 9*t**3 + 20*t**2 + 13*t + 2. Let c(g) = -4*l(g) + 2*x(g). Determine v so that c(v) = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 10122101012100?\nAnswer: -10122101012120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 12) to base 14.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 158, 2\/13, 0.1 in decreasing order.\nAnswer: 158, 2\/13, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10294 and 226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 + 890*y - 39605 = 0. Calculate y.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 177994548.9 nanoseconds?\nAnswer: 0.00000029430315625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 77220615 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 + 2*x**4 + 3*x**5)*(-1 + 4 - 2) - 3*x**5 + 3*x**5 + 2*x**5 + (x**3 - x**3 + x**3)*(x**2 + 0*x**2 + 3*x**2) - 5*x**3 + 2*x**5 + 5*x**3.\nAnswer: 11*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1466355 divided by -488785.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**2\/3 + 51656*y\/3 + 14742496\/3 = 0.\nAnswer: -12622, -292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-26)\/8)\/(1\/(-4)). Suppose 2035*w = 2033*w + 182. What is the greatest common divisor of w and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -256\/299 - -10\/13. Let c = 24 - 29. Sort l, -0.3, c in increasing order.\nAnswer: c, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9781 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 461*j - 8917. Determine w(18).\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*d + 74 + 78, -a + 5*d - 55 = 0. Let o be (-375)\/a - 4\/(-14). What is the greatest common factor of 66 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -305 (base 8) to base 10.\nAnswer: -197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 826 + -826. Solve -6*d + 22 + 2 = s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -14*b**3 - 2*b**2 + b. Let g be c(1). Let p(j) = 2*j**2 + 21*j - 8. Is p(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -648410 by 10.\nAnswer: -64841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-4) + (-1)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/9 - (-12)\/(-54). Let y(z) = -7*z**2 - 3*z - 1. Let n(p) = 13*p**2 + 5*p + 32. Let c(m) = -n(m) - 2*y(m). Calculate c(x).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 31) + (-24 - -24) - (-34 + -1 + 19).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 p when three letters picked without replacement from {d: 3, p: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -36*r - 7. Let p be j(-7). Let v be 406\/p - 4\/5. Factor 0 + 0*x**4 + 4\/7*x**2 + 2\/7*x**5 + 0*x - v*x**3.\nAnswer: 2*x**2*(x - 1)**2*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3720 = -4*w + 3*x, 4*w = -2*x + 3720 + 20. What are the prime factors of w?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 7:58 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16045005 + 16045005 - 250*g.\nAnswer: -250*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44031158 - -11?\nAnswer: -44031147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 203\/409 - -3\/818. What is the closest to 2\/3 in -0.4, q, 1, 2\/159?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -333 (base 5) to base 8\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -56. Suppose 0 = 2*r - 6*r + 4. Calculate the common denominator of (-386)\/z + r + 2 and 95\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 334, 379, 434, 499?\n\"Answer: 5*y**2 + 30*y + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8223335831 to the nearest 100000.\nAnswer: 8223300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7973960, -15947898, -23921810, -31895684, -39869508, -47843270, -55816958?\n\"Answer: 2*s**3 + s**2 - 7973955*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 90 = -0*z. Let v(m) be the third derivative of -1\/24*m**z + 0*m + 0*m**5 + 3*m**2 + 7\/6*m**3 + 0*m**4 + 0. Differentiate v(x) with respect to x.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -21. Let h(b) be the second derivative of 0 - 1\/3*b**4 + 0*b**c - 1\/6*b**3 - 2*b. Calculate h(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 111508, -2, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*g**6 - 10522*g**5 - 9202087*g**2 wrt g.\nAnswer: 3480*g**3 - 631320*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 617 + -614. Suppose 0 = 2*n + b*u - 58, 5*n + 7 - 152 = u. Calculate the remainder when n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4528, -9054, -13580, -18106, -22632?\n\"Answer: -4526*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 11:50 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-7)*-3)\/(25\/175).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67897?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32 + 32 - a**3 - 5*a)*(111*a - 70*a - 70*a) in the form p*a**3 + d*a + u*a**4 + j*a**2 + k and give u.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(-16)*16\/(-69) and (-165)\/20*(-4)\/(-30).\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, t: 3, v: 1, s: 4}. What is prob of picking 2 s and 1 t?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10) + -1)\/(140\/2100).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*g - 9. Let h be g\/(-6) + (300\/63)\/5. Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288 - 508035*o - 174 + o**2 + 508035*o - 114.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 12*n + 8. Let w be -16*(((-24730)\/(-4) - n) + 6). Round w to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*z**5 - z**3 + 2*z**2 + 27 wrt z.\nAnswer: -840*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 89772.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3452 - g**3 - 452*g + 3452.\nAnswer: -g**3 - 452*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -6. Let u = 23.6 + -23.5. Which is smaller: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -29107021\nAnswer: -33\/29107021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -108*c + 1664. Does 5 divide d(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -652 and 45 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-8)\/(-4) + 2 + -2 and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8095 is divided by 162?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*p + 30, z - 6*p = -3*p + 14. Let o(t) = 134*t**2 + 7*t + 7. List the prime factors of o(z).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g - 86. Let c be d(17). Solve -c*a - 4 = -20*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -109\/3 + 23581\/649. Is 0 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 + -45 + -4 + 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-1 - -2) + -3. Let f be -3 - (u - (598 - 0)). Suppose 14 = -5*m + f. List the prime factors of m.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 18 + 37 = -5*s, 5*s + 45 = -3*a. Let w be 114\/(-8) + s\/(-24). Let v = w + 14. Which is greater: v or 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 62.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 763 + 3*h - h - h.\nAnswer: -h + 763","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 18*d**2 + 42*d + 35. Let m be h(-20). Sort 8, 15, m in ascending order.\nAnswer: m, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*c - 0. Suppose 2*m = 3*j - 25, -6*j - c*m + 67 = -j. Calculate the highest common factor of j and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-76 + 156 - 84)*(-5 + 5 + 2)*(-2*o**2 + 1 - 1)*(-o**2 + 0*o**2 - 5*o**2) to the form w + m*o**2 + r*o**3 + f*o**4 + p*o and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 301*v - 321*v + 200 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 7*o**2 + 6*o - 1. Let g be (-47)\/(-7) - (-2)\/7. Let i be 3*3 - (g - 4). Calculate s(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**5\/60 + l**4\/8 - 2*l**3\/3 + 7*l**2. Let x be (-10)\/((0 - 0) + -2). Does 18 divide g(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -795934 at most 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/20 + 49\/60. Which is the closest to -2? (a) g (b) 1\/5 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.049 * 0.31.\nAnswer: -0.01519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 410*b - 304*b**2 - 343*b**2 + 425*b**2 - 108*b**2 wrt b.\nAnswer: -660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 5:38 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, 1\/5, -4, -1, 3, 0 in increasing order.\nAnswer: -107, -4, -1, 0, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/2 + (2 - -1). Let o(g) = 0 + 2*g - 5*g + 2*g + 3. Let h be o(a). Put h, 3, -1 in descending order.\nAnswer: 3, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411321 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2. Let q(v) be the second derivative of -91*v**3\/3 + v + 107. Determine i(q(k)).\nAnswer: 99372*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2736)*-2 + sqrt(2736) + -2 + (5*(3 + sqrt(2736)))**2).\nAnswer: -274492 - 7152*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 - 550 - (-1 + 31)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 + 1861 - 1861 + 3*g**4 + 2*g - g**4 in the form c*g**3 + l + t*g + q*g**2 + o*g**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b**3 - b**2 + 2*b - 1. Let f(a) = 10*a - 53. Let x be f(6). Suppose 0 = 25*n - 18*n - x. What is s(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65414.67*-43.\nAnswer: 2812830.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -134006.4.\nAnswer: -134008.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x + 50345 = 19985. Let h = x - -12436\/9. Find d such that 8\/3*d**2 + 0 - 4\/3*d**3 - h*d + 2\/9*d**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215742 less than 215570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/15 and ((-16)\/30)\/4 + 1672\/(-8910).\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 1 = u - w, -2*u + 26 = 2*w. What is the remainder when 19 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36.5 - -31. Let y = w - 6.7. Round y to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5089)\/15249 - 1\/(-3). Let t = -188103\/81328 - s. Let b = -31\/6 + 116\/21. Calculate the common denominator of t and b.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 3. Let n(h) = -h + 3. Suppose -5*j = 5*b - 20, -3*b + 12 = -0*b + 5*j. Let z(o) = 2*o - 4. Let m(c) = b*n(c) + 3*z(c). Determine y(m(a)).\nAnswer: 4*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 77776, 155601, 233412, 311203, 388968, 466701?\n\"Answer: -g**3 - g**2 + 77835*g - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730235?\nAnswer: 5, 11, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 291833?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/10 - (-78)\/4. Suppose w - 10 = -0*w - 2*r, -4*w = 4*r - c. Let v(q) = 2*q + 3 - 3 + w*q. Let m(b) = 3*b**2. What is m(v(f))?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (10 + -3 - 5 - (-3 + -4))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 - -74. Let z = 123.855888 - 120.856. Let x = z - h. What is x rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 14 = 14 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 4*d - 65 = -65, -d = 7*h - 108 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 637647168 a multiple of 498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 8) to base 15.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2795255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 1749*b - 54218. What is the remainder when (-220)\/(-6) + (-4)\/6 is divided by p(31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/637 and 149\/6?\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 13*g**2 - 6*g + 77. Let x be t(13). What is the second biggest value in -3\/4, 4, 24, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 717 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-45)\/220)\/((-4)\/(-48)) and 27\/19?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/5557 in -0.3, 3, 2\/17, 1, 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43139 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 10 = -2*x + y, 9*y + 31 = 2*x. Solve -x*o + 7 = 3*d - 0*o, -2*d + 3*o = 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 7. What is the units digit of (12\/9)\/(z\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 4 - -2 - (2 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.41 and -75?\nAnswer: 69.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2 - (17 + -17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**5 + 780*t**4 + 1540*t**3 - 10*t**2 - 1545*t - 770.\nAnswer: 5*(t - 1)*(t + 1)**3*(t + 154)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 96820 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q - 4996 = 2*v, 3*v + 4*q + 7516 = 0. Round v to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 900\/(-250) + (1 - 7\/5). List the prime factors of 354\/18*(-6)\/p*4.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(sqrt(3168) - -3*sqrt(3168)) + sqrt(3168))\/(-1*sqrt(242)*5) + 0.\nAnswer: -3 + 228*sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -164, -248, -332, -416, -500?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 421, 4, -5, 5, 30 in decreasing order.\nAnswer: 421, 30, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -17, -5, 3.\nAnswer: -17, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 25*d**2 + 83*d - 1276. Calculate u(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.62 + -5.62. Which is the closest to n? (a) -1\/4 (b) -1.7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 11*j**3 + j**2 - 3*j + 3. Give r(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**5\/20 + a**4 + 3*a**3\/2 + 2*a. Let z be x(-8). Suppose -s = -z + 43. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 not equal to 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11011100100010110 (base 2) to base 9\nAnswer: 181804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -2*i + 32, 468524 = i + 3*m + 468486 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*u = -92 - 51, 0 = -l + u + 49. What are the prime factors of l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8410 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w = 27*w. Suppose w = -0*a - 4*a - 5*b + 39, 39 = 5*a + 3*b. Solve 3 = -r - f - 2, 2*r + f = -a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 3, 29, -1, 170 in ascending order.\nAnswer: -1, 3, 18, 29, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 44*o**3 - 5*o**2 - 26*o + 127. Let j be u(7). What is j rounded to the nearest 100?\nAnswer: 14800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -543*g + 7062. Determine u(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1584919?\nAnswer: 7, 257, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 7. Suppose -n - 4 = l - 0*n, t = -2*l + n + 4. Suppose -387 = -l*y - 3*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 4*r - 5. Determine h(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**2\/4 + 2895*l - 2793675 = 0.\nAnswer: 1930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27053546?\nAnswer: 2, 13, 1040521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**6\/36 - x**5\/30 + x**4\/8 + 5*x**3\/18 + x**2\/6 - 26. What is b in w(b) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 2, s: 1, h: 1, e: 2, p: 1}. What is prob of sequence pw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048747 (base 9) in base 5?\nAnswer: 121023002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-4 - (-16)\/4). Suppose -4*u - i = -17, 4*u + v*i - 21 = -2*i. Suppose 0 = -3*w + u*w - 109. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + g + 9. Calculate the remainder when q(-9) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q**3 - 13*q**2 + 7030*q - 7042*q + 4*q**5 - 19*q**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.008 in 2, -1, 364.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1230 and 1710.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6, 5, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 30. Suppose k*v - 242 = -3*x + x, 4*v - 127 = -x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18 and (2\/(-8))\/((-14)\/100).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -147845, -295698, -443551?\n\"Answer: -147853*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 11:09 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 3 = 15*f - x, -3 = 5*f - x. Is 2\/7239 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 6027.\nAnswer: -4\/6027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k - 30. Suppose g - l + 3 = 1, -3*l - 14 = g. Let d be h(g). Solve -5*v + 2 - 12 = d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/5 + (-8)\/40. Let s be 2*2\/4*3. Suppose -5*k + 4 = 4*t, 5*k - 2*t - t + s = o. Solve 7*w - 2*w = -2*h, k = 5*h - w + 27 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8965103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142170 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5808 and -8462481.\nAnswer: -8468289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 2, i: 8, t: 2, d: 3, s: 4}. Give prob of picking 1 u and 1 j.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172721076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6922294969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2493179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -3. Suppose p*g = 5*g. Solve g = 3*y - 2*y + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 0.2, 88, -16, -2\/7, -1 in increasing order.\nAnswer: -16, -5, -4, -1, -2\/7, 0.2, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(12\/1104*23)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(30\/(-4)) + (-21)\/(-30)*2. Let o(x) = -34*x**2 + 3*x - 4. Give o(l).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 118474104 divided by 483\nAnswer: 245288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sccc when four letters picked without replacement from cscccscs.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1171 - 1164. Suppose -a - 20 = -6*a, a = 5*j - 16. Suppose z + 6 = j. Sort z, 1, x in decreasing order.\nAnswer: x, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8793, -35318, -79569, -141540, -221225, -318618, -433713?\n\"Answer: z**3 - 8869*z**2 + 75*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 32 = 23. Suppose j + 14 = -n, 31 = -3*n + n - h*j. Which is the third biggest value? (a) -0.4 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72515 is divided by 8051.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35703.63um to meters.\nAnswer: 0.03570363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**4 + 136072*v - 136072*v - 439*v**3)*(-2*v + 3*v + v).\nAnswer: 10*v**5 - 878*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 365080 by -73016.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/11, -1\/4, -2\/5, -0.3, 6102?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*i + 268, 0 = -3*r - 59*i + 57*i + 215. What is the remainder when r is divided by -27*(4\/(-3) - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499.0092 days in hours?\nAnswer: 11976.2208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k + 31863 = -280*k. Sort 0.2, k, -3.1 in descending order.\nAnswer: 0.2, -3.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 4*w + 8, -5*t = w - 0*w + 2. Solve i + t - 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -269, 236, -70 in decreasing order.\nAnswer: 236, -70, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4 = -0*i - 2*i, -3*l + 14 = 4*i. Let m = -1 - -3. Let s be (2 - 3) + i + m. Solve 4*x = -5*f - 4 - 0, -3*x - 5*f = s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 215, 312, 393, 452?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h + 6. Let y be s(-6). Let o(z) = -z**3 - 4*z**2 - 5*z - 35. Let d be o(-5). Let b = y + d. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-15)\/((-3)\/3))*81?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221100 + -10?\nAnswer: 1221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23141700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13971247 is divided by 4656987.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37076 is divided by 758?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 9c5?\nAnswer: -9c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (56\/(-10))\/(3*5\/(-150)). Let f = 63 - m. Is 126\/4 + f\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g - 15. Let m(f) = -3*f - 7. Suppose 22*p + 298 = 100. Determine p*m(c) + 4*a(c).\nAnswer: 3*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3342 = -y, 5*d + 9*y - 13355 = d. List the prime factors of d.\nAnswer: 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 60 = -h, -1888801*f - h = -1888791*f - 75 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 - 765*b + 5289. What is t(7)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95389?\nAnswer: 7, 13627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -1 - 2. What is the smallest common multiple of d and 2\/(-4)*(6 + -16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19355078?\nAnswer: 2, 17, 569267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*52\/(-273)*108\/(-96)*(-14)\/21?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 244537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 389 - 325?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 0, -0.4, -1\/1171 in decreasing order.\nAnswer: 0, -1\/1171, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -38*c**2 - 244*c - 221. Calculate r(-6).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -23*b - 4. Is l(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44136 - 2?\nAnswer: 44134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 2013*p**2 + 12113*p + 4. Calculate j(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (48\/10)\/((-22)\/(-165)). Let i(p) = -4*p + 44. Let c be i(-13). Calculate the highest common divisor of c and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 5*t = -48, t - 10 = 4*t + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 445060979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 2, 0.1, -17, 0 in decreasing order.\nAnswer: 22, 2, 0.1, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at least as big as 95442\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (31\/93)\/(-1*(-4)\/12)*10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 202*k = 199*k + 14, 0 = -3*r - k + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43776 or 43778?\nAnswer: 43776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k - 3*k)*(-62*k + 6 + 257*k - 6).\nAnswer: -390*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 2*p**2 + p + 4. Let g be s(0). Let v(l) = 0*l**2 - 3*l**2 + 6*l + 4*l**2 + g. Determine v(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (11 - 8)*7 - -4 is divided by (-13 - 0)*1*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 - 34*z + 192. Calculate the remainder when h(8) is divided by 41.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75438 divided by -4191.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n**3 + n**4 - 2*n**4 - 5*n + 10 + n**4 + 10*n**4 - 20*n**2 - 5*n**5 = 0. Calculate n.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10*(-165)\/(-36))\/(37\/(-222)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (1 + -4 - 0) + -2 - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.5. Let s = -3.6 + 0.6. Let k = -71\/6 - -38\/3. Which is the second biggest value? (a) f (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.331498826 - -34\nAnswer: 32.668501174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/11 in 2\/5, -0.04, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 0*r + 2*r)*(0*r + 2*r - r) + (-5*r - 12 + 12)*(10*r + r - 3*r) - r**2 + 0*r**2 + 2*r**2 to t + w*r**2 + o*r and give w.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14701736 divided by 3675434\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 3*c - 12. Let z be f(-3). Suppose -5*a = 130 - 535. Let p = a + z. Is p 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 2\/5 in 3, -1\/2, 4, 220?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8508806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1609498 and 3899522.\nAnswer: 10802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27791 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40 or 6992?\nAnswer: 6992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6703 - 2*h + h + 6703.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -a - 3 + 4, 5*a + 13 = 2*s. Let v(f) = -6*f**2 - 16*f + 3. Let n be v(a). What is the closest to -2 in 2\/13, n, -1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + -1 + (-65 - -19).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 149958\/10 - 1 - (-18)\/90 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -246 + 14 - 12*h + 57 - 200 - 193. Calculate l(-48).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 16*m - 1784. Let t be j(-51). What is the closest to 34 in 1\/3, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*a**2 + 2)*(5 + 1 - 4)*(3 - 1 + 9)*(1 - 1 - 4*a).\nAnswer: -176*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -10. Let f = -11 + t. What is the second smallest value in f, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 3811*g - 3*g**2 + 3813*g - 1. Let x(i) = -103*i**2 - 5*i + 4. Let s(h) = -2*o(h) - x(h). What is the second derivative of s(t) wrt t?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/95052 and -43\/97188.\nAnswer: 8649732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -590906 from -23022678.\nAnswer: -22431772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18718768 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2273307711 take away -1174?\nAnswer: -2273306537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2137695057 to the nearest integer?\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -19 + -9 - -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16*(-198)\/(-55)*130\/156\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/43 and 3\/25657.\nAnswer: 1103251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1710250 divided by -15\nAnswer: -342050\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2*z + 12, 3*z = 4*c + 2*z - 39. Let t be 3 - 2\/1 - (7 + -8). Let o be (1\/(-8))\/((-393)\/(-198) - t). Is c at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**3 + 2677142*v**2 + 1791772322041*v = 0.\nAnswer: -1338571, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 616516*s - 616514*s - 21, 5*i + 60 = 5*s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.135 - 1.665. Put 4, -5, d in ascending order.\nAnswer: -5, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599*u = -604*u + 525. Suppose -11*q + 18*q = u. Solve -q + 20 = -5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17 - -13)\/((-1)\/2). Suppose -y = y - a. What is the smallest common multiple of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, -0.3, -2\/27, 125, 1\/4.\nAnswer: -0.3, -2\/27, 1\/12, 1\/4, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2058 + -2117 - 578\/(-10))\/(42\/(-10))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/10 - 2)\/(171\/(-1368))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27696961 < -27696964?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/(-20)*764\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139d19 (base 16) to base 15.\nAnswer: 1a5cd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -1097*v - 1093*v + 2194*v. Solve 11*b - v = -99 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-2.5\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 1 = k - s, -18 = -k + 2*s. Let u = 11 + -8. Suppose -4*w - u*h + k = -4, 4*w - 8 = -h. What is the nearest to 1 in 2\/7, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5753, 5793, 5905, 6125, 6489?\n\"Answer: 6*f**3 - 2*f + 5749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*k - 9*k - 15, -2*u + 5 = k. Suppose -u*o = -10*o + 10. What is the units digit of (-1)\/(122\/(-60) + o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7060741 years?\nAnswer: 0.0007060741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/2)\/j**13*j*j\/j**1*j\/((j\/(j**3\/j))\/j) assuming j is positive.\nAnswer: j**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1491, -5838, -13075, -23196, -36195, -52066, -70803?\nAnswer: -92400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 9:29 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -196.4501 - -0.7601. What is y rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 351 divided by -16988\nAnswer: -351\/16988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*m = -16*m + 5714 - 49471. What is the highest common factor of 57 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 292562049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.191158 rounded to 0 dps?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2046 and 162750.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -172*c - 6*c**2 - 9*c**2 + 168*c - 798*c**6 + 24*c**2 - 11*c**2 - 53 wrt c.\nAnswer: -95760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -276*q**2 + 16*q + 6?\nAnswer: -552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8*d**2. Let m(u) = u. Let b(k) = -k. Let i(x) = -5*b(x) - 7*m(x). Determine i(v(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-12)\/(-18)*3 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-38)\/114*15\/(32535\/6)\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2228958 to the nearest integer?\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-36)*8)\/(3 - (-4)\/3)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97*b**4*f**2 + b**3*f**3 + 3*b*f**3 - 4*b*f + 11*f wrt b?\nAnswer: 1164*b**2*f**2 + 6*b*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17916284730 - 5339069530499\/298. Let a = l + 79347626633\/1417437. Let x = a - -2\/3171. What is the common denominator of -87\/10 and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 4\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**4\/3 - 8*y**3\/3 + 10*y**2\/3 + 16*y + 39. Solve q(l) = 0.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*((-30)\/(-32))\/(3\/(-4)). Calculate the remainder when -1 - (-1 + -56 + 2) is divided by -76*t\/30*6\/(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18773?\nAnswer: 18773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -1 (c) -3 (d) 68 (e) 4 (f) -5 (g) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -15*x - 2. Let k(o) = 1. Let m(a) = 6*k(a) - w(a). Let i be m(-10). Let g = i - -239. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3*x**2 - 2\/15*x**3 + 76\/15 - 154\/15*x.\nAnswer: -2*(x - 38)*(x - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 1. Let b be x(-4). Let c(k) = b*k + k - 2*k. Let y(a) = -4*a. Determine c(y(o)).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.138622 rounded to three dps?\nAnswer: -0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-183)\/610)\/(3\/(-30))*(-2)\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1440 - 57374?\nAnswer: -58824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 16692.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q. Let a(r) be the second derivative of 17*r**3\/6 - 5*r. Calculate z(a(d)).\nAnswer: -34*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zr when two letters picked without replacement from {f: 1, t: 1, z: 2, g: 1, c: 1, r: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/(-16))\/(1\/16750). Let g = -7317 + n. What is the common denominator of 45\/16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 5 = -8*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*k + 15. Which is the third biggest value? (a) k (b) 0.5 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3294)\/324 + 2\/12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -10, -4 in decreasing order.\nAnswer: 41, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1218974, -1218969, -1218964, -1218959?\nAnswer: -1218954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*288\/(-756))\/(24\/28).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45654 - 32344. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(2584\/(-1938)*(81\/24)\/9)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -949*g - 2703. Let k(y) = -472*y - 1351. Let z(v) = -9*k(v) + 4*r(v). What is the derivative of z(w) wrt w?\nAnswer: 452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 8. Let o be g(-3). Suppose 5*r + 2*u - 5 = 0, -o - 3 = 5*r + 4*u. Suppose -8*d = -r*d - 15. Solve 2*b + 8 + d = -5*p, 0 = 2*b + 3*p + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -10357?\nAnswer: 13\/10357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 282 - 199. Calculate the remainder when n is divided by 39.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 61*i**2 + 437*i + 25. What are the prime factors of n(-70)?\nAnswer: 5, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**3 - 16*t**3 - t**3 + 33*t**3 + 14*t**3.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32\/(-6))\/(12 + 114\/(-9)). Let w be -1*-4*9\/2. Suppose g - z*d = -4*d + 6, 3*g = -5*d + w. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z = 4. Let y = z + 6. Suppose -4*m - 5*h + 52 = 0, -m - h + y + 9 = 0. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*(sqrt(288) + sqrt(288)*-2 + -5 + sqrt(288)) + -3*(sqrt(288) + (sqrt(288) - (4 + sqrt(288)*-2)) - sqrt(288) - sqrt(288)) + 2)**2.\nAnswer: -4320*sqrt(2) + 11268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -4\/9 (b) 0.2 (c) -602\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -1635545, -5 in descending order.\nAnswer: 27, -5, -1635545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -2. Suppose 0 = -4*k + i + 167999, -97176 = -3*k + c*i + 28820. Round k to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 208885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**3 + 2*z**2 - z - 4. Let x(q) = -4*q**3 + 3*q**2 - q - 5. Determine -3*p(k) + 2*x(k).\nAnswer: k**3 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6914, -13845, -20776?\nAnswer: -27707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -224\/39?\nAnswer: -224\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221 + 113?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3206321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -5. Suppose -71 - 9 = -q*p. Suppose 2*w + p = 3*w. Calculate the highest common divisor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-5 + 28\/7)*(-132)\/(-18)*-3 and ((-18)\/2)\/3 - -15?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 192 = -3*z, -2*z - 2*n + 5*n + 129 = 0. Suppose -5*o - z = -o. Calculate the common denominator of 111\/o + 0\/(-1) and 29\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 + 2*l**2 + 3*l. Determine d(-3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 0. Suppose 3 = 2*x + x - 4*t, -4*x = 3*t - 29. Suppose 0 = 4*f - 5*p - 7, 0*f + x = f + 2*p. Solve f*q - 6 = q + a*u, -3*q - 5*u = -20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3\/5, -161, -1, 5\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 4*z + 2 - 2*z + 1 - 1 + (-3 + 1 + 1)*(5*z - 2*z - 2*z) + 2*z - z - 3*z + 1.\nAnswer: -9*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/7)\/(z*z**(-2\/7)\/z)*(z*z**(3\/4))\/z*z**7*z**(-4\/11)\/(z\/(z*z*(z\/z**(2\/13)*z)\/z*z*z))*(z\/(z\/(z*z\/z**(-1\/2)*z)))**(-21\/4) assuming z is positive.\nAnswer: z**(-52621\/8008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3027*q - 248. Determine l(0).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1684\/3 + -11797\/21. Let j = 48.5 + -49. What is the second smallest value in -18, 0.2, b, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-8))\/(l\/((l\/l**(6\/5))\/l)))\/(l\/l**(-1\/5)*l**(2\/5)) assuming l is positive.\nAnswer: l**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*o**4 - d*o**2 + 16*d + 407*o**2 + 29*o wrt o?\nAnswer: -24*d*o**2 - 2*d + 814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2408038 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -9, -11, -15, -21, -29?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 63*w - 31*w - 26*w)*(0 + 2 - 4)*(-13*w + 5*w - 7*w).\nAnswer: 180*w**2 + 60*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21776473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 23*k**4\/12 + 83*k**3\/3 + 2*k**2 - 4*k. Is l(32) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15983 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -55, -4, 186122, 4 in increasing order.\nAnswer: -55, -4, 3, 4, 186122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6817 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*y - 13 = 0, -f - 2 = -2*y - 20. What is the greatest common factor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 80 = 3*c. Let n be 2\/9 - c\/45. Let q(l) = 3*l - 2. What is the lowest common multiple of q(n) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*p = -0*s - 61, 3*p + 277 = 5*s. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 83667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -18*a**3\/5 + 188*a**2\/5 - 106*a + 40 = 0.\nAnswer: 4\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*z - 8851, 0 = -2*z - 4*a + 2442 + 6408. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.51 + 0.01. Let s be (122\/12 - (-26)\/52) + -10. Which is the closest to 0? (a) s (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-3\/2)*n\/(n\/((n*n**(4\/5))\/n))*n**(-4))**44 assuming n is positive.\nAnswer: n**(-704\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1855*a - 2860*a + 31155 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-129)\/(-430))\/((-12)\/150))\/((-10)\/48)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 4. Let v be 1\/3 + (-2)\/(-3). Let m = 0 + v. Let f = -3 - m. Give y(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -834*c = -385*c - 414*c + 35 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/2080)\/(2\/40)*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from {c: 4, t: 6, x: 4, d: 2, h: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/12*4)\/(1\/(-4)). Let g be (a\/(-6))\/(-1 - 16\/(-12)). Suppose -o + 3*o - 4 = 0. Solve -v + g*h = -o*h - 20, 0 = -2*h - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 372*h**2 + 3633*h - 4712. What is o(362)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**3 + 62*n**2 + 11*n - 341. Let b be s(31). What is the nearest to -1 in 3, b, 0.05, 1\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 9*o**2 + 23*o + 211. Let q be d(-5). Let j(v) = -v**2 - 9*v - 6. Let m be j(-8). Which is the closest to q? (a) m (b) -2\/7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - -3 - 15)\/(4 + -3 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2. Let v = y + 19. Let d = -6 + 16. What is the remainder when v is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9146577 - 292.9147217. Let g = -292 - d. Round g to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*y - 11 = -m, 2*y = 2*m + 4. What is the hundreds digit of (392\/m)\/1*(-210)\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-12)\/(-40)))\/(4\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 72 (b) 6 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 711*d + 7*d**2 + 2 - 216*d - 64*d + 703*d + 21*d**2.\nAnswer: 28*d**2 + 1134*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 5)*(-r - r + 3*r)*(-2 + 2 - r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 4*i + 28. What is p(9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4 + 579*y**3 + 7491*y**2 - 5211*y - 67662 = 0 for y.\nAnswer: -179, -14, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 61272952 to the power of 1\/2, to the nearest integer?\nAnswer: 7828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e - -29?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 842509\/486 or 1734?\nAnswer: 1734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130854 is divided by 3181?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/30 - 7*v**5\/3 + 569*v**2. Solve z(d) = 0 for d.\nAnswer: 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**2 - 3*w + 3*w + (3*w**2 - 2*w**2 + w**2)*(1 - 1 - 2) - 3*w**2 + 4*w**2 - 2*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9720569 and 334.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - u**2 - u. Let r be c(0). Solve -4*j + 3*j - 3*s + 2 = r, -3*j - 4*s + 11 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -11*a**3\/3 + 173660*a**2 + 1657769*a\/3 + 94730 = 0?\nAnswer: -3, -2\/11, 47365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, b: 9}. Give prob of sequence bb.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-20))\/(1\/(-10)). Suppose -m*u = -5*u - 2. List the prime factors of (u - -7) + (-1)\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**4\/12 + w**3\/2 - 2*w**2 + 4*w - 1. Let o(x) be the first derivative of k(x). What are the prime factors of o(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6705 is divided by 156?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -101010111100010011 (base 2) to base 8\nAnswer: -527423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.582 + -37.653. What is the third smallest value in -3\/7, k, 1\/3, 2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000176932 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -58.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/216*0\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*g + 18. Let u be g\/10 + (-390)\/(-75). Solve u = 3*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -3) + 33 + (-163 - -171)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-5 + 8 - 2) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/15*o**3 - 2\/15*o**5 - 2\/15 + 2\/5*o + 2\/5*o**4 - 4\/15*o**2 = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 912802 and 55431976?\nAnswer: 609751736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*w - 5*z = -18, 2*w = -5*z - 6. Let s(d) = -166*d - 18. Let f be s(w). Round f to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2041 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbbzbiyyby. Give prob of sequence ziy.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4731 is divided by 41?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 402131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000062392409 rounded to 6 decimal places?\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 92b3?\nAnswer: -92ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 235 - -24400?\nAnswer: 25035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 + 2*p - 2*p**4 - 2*p**2 - p**3 + 0*p**4 + 2 + 0*p**4 to h*p**3 + j*p**4 + u*p + q*p**2 + b and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -11\/2*j + 1\/8*j**4 + 23\/4*j**2 + 6 - 13\/6*j**3. Factor f(l).\nAnswer: (l - 11)*(l - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2962*u - 4287*u + 532532 = 5591*u for u.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 1)*(-3 + 1 + 4)*(-10 + 15 + 59) - 2 + 5 + 1)*(-6*o**3 + 0 + 0).\nAnswer: 744*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 1:58 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 95\/(-4))*4. Let v(f) = -f**2 + 24*f + 38. Let z be v(24). Calculate the greatest common factor of z and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -910 divided by -26421?\nAnswer: 910\/26421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1588556?\nAnswer: 2, 409, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, b: 2, n: 1, v: 1, f: 3, a: 12}. What is prob of sequence afav?\nAnswer: 11\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/32 and 179\/3432?\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -36*r**2 + 21238*r + 1214. Give h(590).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 54*w + 167. Let t be c(-57). What is the second smallest value in 27, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082314?\nAnswer: 2, 113, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43500 is divided by 21689.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cf6 (base 16) in base 3?\nAnswer: 101011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9588 - 9587.819744. Let p = s + -0.18. Round p to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*h = -2797, -4*r = -0*r + h - 2791. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b8124 (base 14) to base 2\nAnswer: -1101100100101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 366*r**2 + 4598*r - 18. Calculate v(-13).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*u - 5*x, 20 = -3*u + 4*x + x. Suppose 3*p - 8*p + 15 = u. Solve 0 = p*f + 1 - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 619029142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 354.7986l in millilitres?\nAnswer: 354798.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 - -1 - (962 - 1067).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*f = s + 1, 3*s = -3*f + 15. Let x be (0 + -2)\/f*-3. Let p be 1 + -3 + x + 4. Let c(q) = -q**3 + 4*q**2 + 3*q - 3. Calculate c(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 82*x - 64 + 36*x**3 - 97*x**4 - 112*x**2 + 62*x + 93*x**4 = 0. What is x?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18a883 - -425?\nAnswer: 18b0a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + (sqrt(112) - (sqrt(112) - (sqrt(112) + 0)**2)) + 1 + 3) + 5.\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 14*r**4 - 10*r**3 + 11*r**2 - 6*r. Let k(b) = 2*b**3 - 2*b**2 - b. Let i(v) = -5*k(v) - s(v). Find the third derivative of i(j) wrt j.\nAnswer: -336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -594 <= -472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 - 34*f**2 + 36*f - 55. Give i(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-1\/2)*d)*d**6\/d)**42 assuming d is positive.\nAnswer: d**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 a when three letters picked without replacement from kaaaaaaaaaaakakkaaaa?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1350735468+-14\nAnswer: -1350735482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1104.8 + 1105. What is the nearest to -1\/3 in -1\/10, q, -4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1604000 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16841, -33673, -50489, -67283, -84049?\n\"Answer: p**3 + 2*p**2 - 16845*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*r + 8, 4*j = r + 5 + 5. Suppose -4*z = -2 + r. Let a be (z\/(-3))\/(2\/4). Sort a, -1\/4, -0.1 in ascending order.\nAnswer: -1\/4, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1956 - -2942. Calculate the remainder when z is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 484\/22*12\/(-24)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14338, 1 in descending order.\nAnswer: 14338, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 12*f = -p + 19, 0 = 4*f - 4. Suppose n - 63 = -4*m, 0 = -14*m + 13*m + n + 22. Which is smaller: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25000 to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 1)*1\/(-2). Solve j = -2*n + c + 2, 3*c + 2 = 5*n + 2*c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(2 + 1*18\/(-24)). Solve -35 - g = 13*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4 = -9*b - 4*a, -3*b - 4*a - 4 = 0. Suppose -20 = b*k - 9*k + g, 20 = -4*g. Suppose 2*q + 2*q = 0. Solve 12 = k*w - q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 3, w: 4, u: 5, a: 1, f: 1}. Give prob of picking 1 a and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -14. Let d be (s + 4 + -4)*-11. Suppose -d*l + 669 = -8*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1209133.\nAnswer: 23, 52571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*(2*(sqrt(8)\/sqrt(4) + sqrt(2)) + 2 + sqrt(2) + -1))**2.\nAnswer: 420*sqrt(2) + 1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**3\/5 - 76*b**2\/5 + 4*b\/5 + 76\/5 = 0. What is b?\nAnswer: -19, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 60 = -454*i - 449*i + 900*i, -196 = 16*w + i for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -28*l - 10. Let v(d) = -40*d - 15. Give -7*n(q) + 5*v(q).\nAnswer: -4*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/103 and -10\/1131773.\nAnswer: 116572619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*x + 9*x**2 + 24*x)*(2 + x + 0 + 0) to d*x**3 + n*x + l + r*x**2 and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c + 55. Suppose 0 = 2*o - 2*i - i + 21, -5*o - 4*i = 41. What is the tens digit of t(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*c - 12*c**2 - 207*c - 10*c**2.\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = 20*y + 15*y - 36675. Calculate the remainder when y is divided by 123.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.261 and 290807393?\nAnswer: 290807393.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 553 - 539. Suppose 2*b - i - r = 0, 5*i - 26 = -10*b + 8*b. Calculate the greatest common divisor of b and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 - -58. Let m = -173 - -174. Put m, 0.4, -3, k in descending order.\nAnswer: m, 0.4, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twww when four letters picked without replacement from wwtw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3 - 77 - 16 - g**2 + 6*g**3 - 41 - 79*g**4 wrt g.\nAnswer: -1896*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/19, -0.2, -0.4, -92?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1678?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 49350?\nAnswer: 148050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 5. Let q be b(-6). Let z be 36*(q - (-6)\/(-9)). Solve -2*t + 5*t - z = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d - 7. Suppose 24 = -6*g + 2*g - 3*z, -2*g + 2*z = -2. What is w(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*x - 241*x - 2*n = 1373682, x - 343443 = -4*n. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -88357429 < -88357429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2975\/3, 1, -44?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20205684 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1003, 1001, 989, 961, 911, 833, 721?\n\"Answer: -l**3 + l**2 + 2*l + 1001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 533122295 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**3 - 2*t + 1. Let c be r(1). Find the third derivative of -6*i**c - i**2 + 3*i**3 + 2*i**3 + 0*i**3 wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.273 + -0.027. Let i = v + 2.2884. Round i to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 7*p = -8. Suppose -4*u + 6 = -p. Suppose 4*n - 5*l - 18399995 = 0, l + u*l = 4*n - 18399997. What is n rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 2*h - 2. Let d(x) = 3*x**3 + x**2. Let a(t) = 2*d(t) - u(t). Let i(o) = -5*o**3 - 3*o**2 - 3*o - 3. What is -3*a(k) - 2*i(k)?\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 s when three letters picked without replacement from {j: 1, d: 7, s: 3, q: 3, r: 2, h: 1}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -170*p. Let c(b) be the first derivative of 0*b**2 - 2\/3*b**3 + 129 + 0*b. What is c(k(v))?\nAnswer: -57800*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105407 is divided by 244.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.07 (b) -5 (c) -310 (d) -128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -17*q**2 - 3*q + 3. Let c be d(2). Let k = -44 - c. Solve 15 = 5*o - u, 3*o + 7*u - 4*u - k = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 7. Let g = 0.44 - -0.56. Suppose -i = 3*i, 0 = 4*z + 4*i - 8. Which is the third smallest value? (a) t (b) g (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1, -7\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (-7 - (15 - 92 - 15))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 717.35 - 687. Let w = 30 - c. Let p = 1.1 + w. What is p rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-12)*(4212\/2990)\/(-81)?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-189*z + 2 - 420*z - 2 - 895*z).\nAnswer: 3008*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 8:16 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1609807 + 0*i + 1609821 + 317*i in the form o + m*i and give m.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2270 divide 23723770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74\/1133 or 1?\nAnswer: -74\/1133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 4*y = -9*l - 14, 2*l - 5*y - 31 = 0. Find the third derivative of 24*k**2 + 3*k**l - 2*k**3 + k**3 - 45*k**4 - 11*k**4 + 53*k**2 wrt k.\nAnswer: -1344*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5329 - 3629. Suppose -2*t + f = 8*t. What are the prime factors of t?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/(-224))\/(76\/532)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 37 + 386. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n. Let h be s(-5). Let v = h + -10. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - s + 2*s - 68, 0 = -s + 2. Let q = 35326\/5 - 7033. Which is smaller: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.23 - -0.63. Let p = 0.1 - 0.1. Which is the second smallest value? (a) 2\/3 (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*n - 12. Solve -2*o - 4 = 4*z - 0, -3*o = -3*z + n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/9 and 25\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5597833 + 1581*c**2 - 5597833.\nAnswer: 1581*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 6. Find the second derivative of -9 + 9 + o*l + l**3 wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*g + 46, t = -0*t - 5*g + 20. What is the least common multiple of t and -3 + 3\/(-2)*-6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9119527 is divided by 32111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a century in decades?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, -2.368, 6\/11, 0 in decreasing order.\nAnswer: 6\/11, 0.5, 0, -2.368, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6083356 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442875 + 238655 = 8018*c for c.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.31254 grams in milligrams?\nAnswer: 48312.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-1) + 63\/1. Suppose 4*t - t - k = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y**5\/6 - 6056213*y**4\/3 + 634453*y**3 + 7094420*y**2\/3 - 3806753*y\/6 - 346069 = 0. Calculate y.\nAnswer: -1, -2\/7, 3\/5, 1, 346069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -41\/19334?\nAnswer: -41\/19334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from {i: 1, p: 1, j: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -173.487?\nAnswer: -69.3948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -315.81415 - -42254.17615. Let l = w - 41981. Let p = l - -43. What is p rounded to two decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -61*h + 62. Let t be j(1). Put t, -7, 3, 4 in increasing order.\nAnswer: -7, t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1556 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*t + 12, 2*t + 0 - 4 = 0. Let o be 39\/15 + m\/5. Suppose -o*u + 68 = 5*h, -4*u - 6 = 5*h - 70. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 972 and 12798?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5*f = -14, -23 = j - 4*f - 60 + 43 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 + 691*b**3 - 103 + 691*b**3 - 1396*b**3.\nAnswer: -14*b**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*((sqrt(1331)*4 - -5*sqrt(704)) + -2)**2.\nAnswer: -1552400 + 6720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yooo when four letters picked without replacement from {m: 4, q: 7, y: 5, o: 3}.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13013 at least as big as 0.061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 66 in descending order.\nAnswer: 66, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(210) - sqrt(210)*-2))\/((sqrt(80) - -2*sqrt(80)) + sqrt(80)))\/((-6*sqrt(66)*-2)\/sqrt(11)*6).\nAnswer: -sqrt(7)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18348 + -18331. What is the highest common divisor of 13957 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2104 - 30.61811395.\nAnswer: 2073.38188605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1665 take away 54672037208?\nAnswer: -54672037207.8335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 1. Suppose 3*u - 2*u + a = -3*h, 3*h - 12 = 3*u. Solve j - 1 = -h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**2 + 45*u + 164. What is t(0)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19214697 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(1*sqrt(64))*4*4)**2 + 0.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 2*o**2 - 5*o - 15. Let j(g) = -3*g + 5. Let a(q) = -5*j(q) - 4*k(q). Determine a(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17*(24\/3 + 3). Suppose -y = -0*o + 2*o - z, -5*y = 5*o - 465. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4813*v**3 - 4767*v**2.\nAnswer: -28878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 23 = 5*k, 2*m + 5*k = -0*m - 14. Suppose -n = 3*n - 12. Let w(q) = q + n*q - m*q. Let y(j) = -j. Give w(y(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 5*v**2 + 4. Let p be r(-5). Suppose 2*i + 3*i + 2 = p*q, 12 = -3*q - 3*i. What is the units digit of -2 - (-9 - (q - -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from hhhhhahahaahhh.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let s be n(4). Suppose i - 5*i + 5484 = -s*t, 4*i = -2*t + 5514. Is 86 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnuknyaknk. What is prob of picking 2 k and 1 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 23 + -760 + 713 + (-12 - 0).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h + 36. Let a(n) = -7933*n**2 - 15*n. Calculate i(a(u)).\nAnswer: -55531*u**2 - 105*u + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmamlnfg. What is prob of sequence almg?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*-55734\nAnswer: 55734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 220 - 40 = 0. What is the remainder when 209 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-12)\/429)*2. Calculate the highest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2884 - 531. Let g(v) = -2360 + 8*v - v**2 - q + 4721. Determine g(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -569*h + h**2 + 569*h. Let u(q) = 10*q - 4*q - 2*q. Calculate z(u(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 - 3.01. Let z = f + 6. Suppose 2*m + 3*m - 5 = 0. Which is bigger: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41324 + 95381. What are the prime factors of f?\nAnswer: 3, 37, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579061 + 579065 + 579064 + k - 1737190.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18447574 to the power of 1\/2, to the nearest integer?\nAnswer: 4295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence paqp when four letters picked without replacement from qaqpp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**4\/3 + 1189*i**3\/3 - 20274*i**2 - 197872*i\/3 + 257504\/3 = 0.\nAnswer: -1238, -4, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 3)*(-1 - 1 - 1) - 2 - 2 + 3 - 3 + 2 + 2)*(-43*r + 15*r + 26*r + 1).\nAnswer: 6*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 5. Suppose 4*z + 7 - 23 = s. Solve c + 2 = z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 36. Let m = 6 - 4. Calculate the remainder when (2 + m)*(-27)\/(-4) is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -591*p**2 + 1818*p + 5. Let y(z) = -z**2 - 5*z + 1. Let i(t) = b(t) - 5*y(t). Find the second derivative of i(s) wrt s.\nAnswer: -1172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 5*x + 9. Let v be -13*(-4)\/(-20) + 4\/(-10). Let w be y(v). Let k(c) = 2*c - 69 + 70 - w*c. Calculate k(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -565436.\nAnswer: -565436, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o\/o**(-2\/5))\/o*o*o**(-3\/10)*((o*o\/(o*o**(-1\/4)))\/o)\/(o*o**(1\/4)))\/((o**(-2\/9))**(6\/23)*(o*o\/o**(-8))\/(o**(-1\/6)\/o)) assuming o is positive.\nAnswer: o**(-1036\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 6. Let j(r) = -2*r - 18. Let i(h) = j(h) + 3*o(h). Let m(a) = 72*a. Calculate i(m(u)).\nAnswer: 72*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1941814195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.078 rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.6 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 + 68. What is the remainder when 24 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37 and (3\/(-2))\/(15\/(-10))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -283673 divided by -13\nAnswer: 21821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 4*p + 3*p)*(-p + 5*p - p) + 5 - p**2 - 5 + (5*p - 5*p + 2*p)*(0 - p - 3*p - 1).\nAnswer: -6*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 13*c - 330 + 306 = 0, 5*k + 0*k - c = 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 5970\/495 + (505\/(-165) - -3). Solve 110 = g*k + 166 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 58997*m**2 - 103*m - 311. Is b(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27913*o**3*r**3 - 2*o**3*r**2 + o**3*r + 3*o**2 - o*r**3 + 2*o*r**2 + 36812*r**3 wrt o.\nAnswer: 167478*r**3 - 12*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/279 - -548\/1395. Let n = 243.7 + -254. Let a = -10 - n. Is o at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 3\/115 (c) 1\/4 (d) -0.5 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 4 + -3 - (-56 + 162 - 84).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/42? (a) 3 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 - 8*o**2 + 8*o**2 + (-2*o**2 - 4*o**2 - o**2)*(-2 + 3 + 0)*((-o + 0*o + 2*o)*(-3 - 4 + 4) - 2*o - 3 + 3).\nAnswer: 34*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 23 - 5. Let t(s) = 3*s**2 + s + 7. Let a(k) = -2*k**2 - k - 6. Let w(n) = 7*a(n) + 6*t(n). Calculate the remainder when p is divided by w(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 11*v + 46. Let i be h(10). Suppose -b + 35 = i. Which is greater: b or 5\/51?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 629 and 407.\nAnswer: 6919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 5:54 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644787 + 709169 = 62*k. List the prime factors of k.\nAnswer: 2, 61, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2766 + -2771. Sort a, -319, 2 in increasing order.\nAnswer: -319, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20343331643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -0.32, 7606\/11, 2, -4, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388 (base 11) in base 5?\nAnswer: 24130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 52835*m - 26417*m - 126*m**2 - 26418*m to q*m**2 + y*m + n and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**4\/8 + 8*d**2. Let m(u) = 3399531 - 3399531 + 11*u. What is m(h(o))?\nAnswer: -33*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert e4 (base 15) to base 9.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and 337 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15360 and 2.6?\nAnswer: 15362.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5.43, -56.47, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 601. Let y(i) = -i - 4. Calculate -k(l) - y(l).\nAnswer: 2*l - 597","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168\/(-20)*-8*180\/24 and 28?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 169924257*g**4 - 230929620*g?\nAnswer: 2039091084*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -46, -95, -180, -313, -506, -771, -1120?\n\"Answer: -2*y**3 - 11*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57880283 - 0.02078.\nAnswer: 57880282.97922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, o: 1, x: 4, g: 6}. Give prob of picking 1 d, 2 g, and 1 x.\nAnswer: 180\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 434248030.\nAnswer: 434248030.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1533310000 to the nearest 1000000.\nAnswer: 1533000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(1*sqrt(12)))\/(sqrt(42)\/(sqrt(35)\/sqrt(5))) - (sqrt(7) - -2*sqrt(343) - (1 + sqrt(14)\/sqrt(2))).\nAnswer: -13*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -55*m + 4*m + 1 + 20 + 2 - 2. Let s(t) = 5*t - 2. Calculate 6*b(y) + 63*s(y).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 7, d: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2102, 2099, 2094, 2087, 2078, 2067, 2054?\n\"Answer: -v**2 + 2103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-1 + 1)*-1. Let w(o) = -o**3 - o**2 - 1. Let r be w(h). Is (r - -2)*(1 - -30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1641 and -1.\nAnswer: -1642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1575 less than -3?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51? (a) -1\/6 (b) 3 (c) 2 (d) -33159 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bba when three letters picked without replacement from {y: 2, v: 1, r: 2, w: 1, a: 5, b: 2}.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18740379 to the power of 1\/2, to the nearest integer?\nAnswer: 4329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -387119 (base 10) to base 16.\nAnswer: -5e82f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -287801, -287785, -287765, -287747, -287737?\nAnswer: -287741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 152 + 1036. What is the greatest common divisor of 22 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33638952 divided by 8409738?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 8 = -r, -2*r + 2*s = 5*s + 15. Let l = r - -8. Differentiate 0*j - 2*j + 0 + l with respect to j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1483\/12, 347?\nAnswer: -1483\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4209882, 8419722, 12629564, 16839408, 21049254?\nAnswer: 25259102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 6*d - d)*(-5*d + 4*d - d + (-2*d + 3*d + d)*(4 - 2 + 1 + (8 - 3 + 1)*(-2 - 1 + 4) + 5 + 1 - 4)).\nAnswer: -80*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3065800 rounded to the nearest ten thousand?\nAnswer: -3070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 759 * -0.2\nAnswer: -151.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 602*m = 618*m - 208 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1158663264 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etes when four letters picked without replacement from {t: 2, c: 1, e: 2, f: 1, s: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -1\/5 (c) 253 (d) 0.3 (e) -0.0562 (f) -0.1 (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 408 - -204. List the prime factors of o.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, m: 5}. What is prob of sequence mmmo?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x - 25. Let f be p(5). Suppose s + f*c - 15 = 0, 3 = s - 4*s + c. Solve 2*k - 6 + 2 = s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-9) + (-22)\/(-6). Suppose 0*k - 15 = -n*k. Solve k*l = 2*h + 20, -3*h - 3*l - 5 = 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 357, 1432, 3225, 5736?\nAnswer: 8965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9672 is divided by 351?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*m = 0, -2*w - 5*m = -0*w. Suppose 2*r + 2*f = 3*f - 10, -4*f + 25 = -3*r. Let d be r\/(-35) - 4\/14. Is d less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 134510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*v - 9 = -58*v, -i + 2*v + 11 = 0. Let k(l) = -19*l - 4. Let r = 0 - 5. Let w be k(r). Calculate the greatest common divisor of w and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4\/11 (b) 7 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x**(-3\/5))**(2\/87)\/(x\/(x*x**5)*x**(-2\/7))**(-1\/20) assuming x is positive.\nAnswer: x**(-1129\/4060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 97*y - 32. What is h(-49)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.64 + -0.64. Which is smaller: -7 or r?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -237*p**3. Determine r(1).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1399.0153 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 3. Let g(u) = -3*u - 1. Calculate the remainder when r(-8) is divided by g(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 4*u**3 - 2*u + (-1 - 2*u**2 + 1)*(-2*u + 6*u - 2*u) - u - 32*u**2 - 2*u**3 + 32*u**2 - u**2 + u**2 + 2*u**3.\nAnswer: -8*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52152245 and 3160.\nAnswer: 417217960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1474418 to the nearest integer?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*d - 3, -3*d + 2*n + 2 = 15. Let c be 46\/14 + d + 0. Factor 2\/7 - 4\/7*v + c*v**2.\nAnswer: 2*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 3*f + 5. Suppose 50*x - 47*x + 18 = 0. Give w(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -41. Solve -l - m = s + 2*s, l = -s - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1019*n**3 - 2 - 1590*n**2 + 645*n - 647*n + 1591*n**2 as v*n**2 + x*n**3 + p + c*n and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 18*m**2 + 3*m - 67. Give f(18).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c90 (base 16) in base 11?\nAnswer: -8631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*x = h - 23, -4 = x. Suppose 11 - h = g. Suppose g - 14 = -5*t. Solve -3*n = c + 19, n + t*c + 9 = c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4051 (base 7) to base 16.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17764 divided by 1.\nAnswer: -17764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l + 15*l - 12*l)*(16 - 16 - 9*l) + (6*l - 4*l - 4*l)*(-3*l + 3*l - l).\nAnswer: 29*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 17*x + 723. Let v be n(-41). Solve 34*i = v*i + 56 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 868 - 808. Calculate the remainder when 404 is divided by q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0*n - 2*n)*(10 - 10 - 2*n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 - 101*b + 59. Let f be k(-51). Solve -3*z = -f*z - q, 0 = 3*z + 3*q - 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12438)\/54)\/(20\/12 - 2). Let z = q - 457. Is z a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(120)\/sqrt(4) - sqrt(30)))\/((sqrt(6)*2 + sqrt(6))*-6) + 5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 223362 = 4*l - 223317, -2*l - 61 = 5*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1046384\/15 + 69724. Let u = 174\/5 + f. What is the nearest to -0.2 in u, 0.3, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(5) - ((sqrt(5) - ((-2*sqrt(320))**2 + sqrt(5))) + sqrt(5))).\nAnswer: 7680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(121)*-1*-6 + sqrt(121)))\/(sqrt(11) + sqrt(44)*-5 - (-3*-2*sqrt(11) + sqrt(11))).\nAnswer: -7*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-9))\/(-7)*3\/(-8)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355610154.\nAnswer: 2, 3, 59268359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20408.5224ns in days?\nAnswer: 0.00000000023620975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 + 15*b - 15*b)*(-4 + 4 + 5*b**3 + b**2 - b**2 + b**3 + (2 - 6 + 2)*(2*b**3 - 4*b**3 + 4*b**3)).\nAnswer: -8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 927873440 to the power of 1\/2, to the nearest integer?\nAnswer: 30461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -211*k**3 + 1538 + 2302*k**2 + 1251*k**3 - 3843*k - 1037*k**3.\nAnswer: (k - 1)*(k + 769)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) 2 (b) -115 (c) -5 (d) -215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -152 + 154. Which is the biggest value? (a) 1 (b) -2\/7 (c) 22 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (69456\/(-46) + 38\/(-437))\/((-4)\/6). What is the greatest common divisor of 20 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6649809*o - 13299590*o + 6649826*o.\nAnswer: 45*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 85, -5, -17 in descending order.\nAnswer: 85, -5, -15, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 4.1, 0, -5\/13, -3\/7, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1892, -1893, -1894, -1895, -1896, -1897?\n\"Answer: -h - 1891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 20*k**2 + k**3 + 14*k + 351 + 379 - 786 + 10*k. Let s be m(-18). What is the highest common factor of s and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*v - 1 + 7*v**2 - 2*v**3 + 8*v + 7*v**5 - 9*v**2 wrt v?\nAnswer: 420*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95583017?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -602373.6 - -602357.866015. Let n = -15.824 - f. Let j = n + 0.09. Round j to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1029050?\nAnswer: 2, 5, 11, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - 95*567\/52326.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 170384*v - 340784.\nAnswer: 4*(v - 2)*(v + 42598)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 12:55 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 27*j + 29. Solve j = 3*d + 3, 4*o + o + 2*d = 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 11:18 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3958 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2366, 1\/5, -2, 1.\nAnswer: -2366, -2, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f - 23. Let s(t) = t + 2. Let d(x) = 2*x + 5. Let h(n) = -2*d(n) + 5*s(n). Determine j(h(y)).\nAnswer: -2*y - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, -2, -6, -20, -50?\n\"Answer: -f**3 + 4*f**2 - 5*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/(-50)*2*(-2)\/8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35033 (base 6) to base 2\nAnswer: -1001101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -639 - -640.044. Let r = y - 1.04873. What is r rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 4*w**3\/3 - w - 2. Let y be d(-1). Suppose y*q = q + 2*x + 4, -4*q + 22 = 3*x. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0338 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.57 - -1.25. Let j = p + -1.8. Let g = j - -1.98. What is the second biggest value in g, -3\/4, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(-6*(-7)\/336)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 5*i**6\/3 + i**5 - i**4\/24 - 389*i**2. What is the third derivative of w(g) wrt g?\nAnswer: 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**5\/60 + m**4\/24 + 13*m**3\/6 - 2*m**2 + 133*m. Let r be 0 + 0 - 0\/1. Determine x(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 29 - (-94 + 48).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**5 - 2 + 2)*(1 + 2 - 1) + 9205*t**4 + t - 9205*t**4 + 196*t**5.\nAnswer: 192*t**5 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 6*p + 3*p + 33, -p - 2672 = 5*u - 2663 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*w + 29599997 = 0, 0 = -u - 5*w - 10986552 - 3813453. What is u rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1652.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 3, -6, -31, -78?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4854897 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 23*p - 38. Let f(d) = 26*d - 39. Let g(j) = 2*f(j) - 3*s(j). Determine g(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/11 - 25842*b**3\/11 + 77538*b**2\/11 - 77542*b\/11 + 25848\/11 = 0.\nAnswer: -12924, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/20*-5*5\/5. Let i be q\/7*(-19)\/(-19). Is i not equal to 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f + 8 = 13*f + 4*k, 36 = -f - 3*k. Put 0, 1, -9, f in decreasing order.\nAnswer: 1, 0, -9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s = -17*s - 140. Let z = s - 10. Suppose 5*k = -0*k + z. Solve 3*m = -g - 8, -k*g + 0*m + 8 = -m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 159, -0.2, -1.5, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.564 minus -1909?\nAnswer: 1829.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*f**3*i**2*y + 233*f**3 + f**2 - 10*f*i*y**2 + i**2 wrt y.\nAnswer: 9*f**3*i**2 - 20*f*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -s - 2. Let v = 12 - 11. Solve s = x + v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-162)\/(-3)*1. Let l = -451 + 456. Let m be 88\/48*-3 + l. Is m > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, u: 2, c: 2, f: 2, x: 5, d: 5}. What is prob of picking 1 x and 1 f?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -21. Let c(q) = q**2 - q - 6. Let y be c(-15). Suppose -2*g + 2*x = -y, 121 = -3*g + n*g + x. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2720.322734 - -3027.323. Let f = a - 307. Round f to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - (17 - ((60 - 10) + -29)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5*i = -29, 0*i = 2*j - 2*i - 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110011010100111110 (base 2) in base 12?\nAnswer: 1a9452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 16*d + 17. Let q be s(-15). Let a be -8 - ((5 - q) + -24). Solve -2*y = -5*o + 2*y - a, -5*o = 3*y - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + h + 21 - 23)*(-2*h**2 + 0*h**2 + 3*h**2) to the form l*h**2 + d*h**3 + c + f*h and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 3*i**2 - i + 3. Let k be s(3). Suppose 4*j + k*j - 40 = 0. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 20*t + 69. Let z be h(-16). Find l such that -2*l**3 + 20*l**2 + 20 - 34*l + z - 9 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 8*y - 6. Let v(m) = -2*m + 1. Let w(n) = -f(n) - 4*v(n). What is the least common multiple of (9\/(-6))\/(3\/(-8)) and w(3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 5*g**2 + 7*g + 8. What is w(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 8214757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nntbtbtttttbn. What is prob of sequence tttt?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209 + 207. Suppose 4*i - 14 = -m - 61, i = -3*m - 9. Put -1, j, 3, i in ascending order.\nAnswer: i, j, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19512.\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (-160)\/(-16) - (-4202 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122524\/4449 or 28?\nAnswer: 122524\/4449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/43 bigger than 1\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.953772 rounded to 1 dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104391223?\nAnswer: 233, 448031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 7:42 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1278972 and 72.\nAnswer: 2557944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*q + 3. Let g(y) = y**3 - 5*y**2 + 6*y - 6. Let k be g(q). Find the third derivative of 0*j**4 + k*j**2 - j**4 + 2*j**4 wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -232\/77 - -30\/11. Let y = 21.6 - 17.42. Let f = 0.18 - y. What is the second biggest value in v, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 1443*q - 3 = 1446*q, 0 = -2*g - 4*q - 14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o**2 - 11*o + 2. Let r be t(2). Suppose r*f - 4*w - 51 = -7*w, -10 = -2*w. Solve -4*l + b = -f, 0 = 4*l + 4*b - 0 - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -34, -54, -54, -28, 30, 126?\n\"Answer: h**3 + 4*h**2 - 39*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/220038 and -125\/10738.\nAnswer: 12982242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -6. Let t be (8\/3)\/(2\/o). Let u = 3 + t. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n**3 - 2*n**3 + 4*n**3 + 7*n)*(n - n - 2*n) as p*n**4 + f + x*n + c*n**3 + w*n**2 and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*2*sqrt(22))\/(sqrt(275) + (sqrt(275) - ((sqrt(275) - -1*sqrt(275)) + sqrt(275))) + sqrt(99)\/(sqrt(27)\/sqrt(3))).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 555 + -1?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -22\/5, -2\/9, -11, 0.1?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -344*y**4 + y**2 + y - y**5 + 564*y**4 + 492 + 41*y**4 + 2*y**6 - 1419*y**4 wrt y?\nAnswer: 240*y**3 - 60*y**2 - 27792*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -179*x + 2. Let h(z) = 36334*z - 407. Determine 814*f(c) + 4*h(c).\nAnswer: -370*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - m**3 - 5*m**3)*(-2*m**2 + 11*m**2 - 2*m**2) + (m + 2*m**2 - m)*(8*m**3 - 23*m**2 + 23*m**2 + (-2*m + 2*m - 2*m)*(0*m - 4*m**2 + 0*m)).\nAnswer: -17*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*t - 2*t + 21*t to p + c*t and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 2:42 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 30*((-16)\/(-12))\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, i: 2, y: 7}. What is prob of sequence yiiy?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-6) - (3 + -6). Put 1, 0.3, x, 1\/2 in descending order.\nAnswer: 1, 1\/2, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (-1 - 24) + -12 + 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.6, -4, 3, 1\/4, 0.5, 76.\nAnswer: -4.6, -4, 1\/4, 0.5, 3, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 12 + 48. Suppose 0 = 6*w - k*w + 81. Solve 5 = -4*x + w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 5*f + 36*f**2 + 0*f + 12*f**2.\nAnswer: 48*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -3\/11 (b) -0.11 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 1\/163947?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41 and -32\/299.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + 34 + -7 + -58?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -20 - -17)*(-20)\/(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001841811832 to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000323143 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1407 + -1402. What is the second biggest value in 6, 0.44, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69? (a) -0.02 (b) 14 (c) 3\/11 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23558930 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + (sqrt(2057) - 2*sqrt(2057))*-5)*-3 - -3*(1*sqrt(2057) + 4).\nAnswer: -165*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 5*c**3\/3 + 40*c**2 + 75*c + 47. Determine m, given that g(m) = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-2293*b + 273653 - 273653).\nAnswer: 4586*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -1\/3, -0.08, -0.5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v = -4, 0 = 2*p - 5*v - 71. Let k be (-1*10)\/((-4)\/(-12)). Let f = p + k. What is the closest to 2\/3 in -5, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64927774*r**4 + 5*r**3 - 115982563*r**2 - 2*r.\nAnswer: -1558266576*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 3*i - 8. Suppose 31*n + 3*n - 238 = 0. Calculate b(n).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-122 - -7)\/(1 + 0). Let s = -110 - j. Let m(h) = -h - 1. Let o(b) be the third derivative of b**4\/4 + b**3\/2 + b**2. What is s*m(x) + o(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2 - 2. Let l(x) = -55*x + 3. Is l(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -133 - 3*y - 14*y - 12*y + 5*y + 7*y. Determine g(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 24 = 9. Sort -4, 3, 10, z.\nAnswer: -4, 3, z, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x**2 - 4*x - 11. Let n(s) = -8*s**2 + 4*s + 11. Let u(j) = -5*l(j) - 4*n(j). Let g be u(0). Solve -2*z = 15 - g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 166 - 170. Let s = y + 4. Solve s = -2*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -325239.54 greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000488604662 rounded to seven decimal places?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 27750*n**2 - 300*n + 200. Let b be y(34). Round b to the nearest 100000.\nAnswer: 32100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17045482 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 - -619\/9. Let h be (2 - 62)\/(-10) + (-47)\/8. Let q = 22.06 - 22. What is the nearest to q in h, 3, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or -5748.985?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -1)\/((-1)\/2). Let x(u) = u. Let k(o) = -4*o + 3. Suppose -6*p + 8 = -2*p. Let h(g) = p*x(g) + k(g). Determine h(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*o**4 + 13*o**3 - 2*o**2 - 8038*o?\nAnswer: 180*o**2 + 78*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1183 + 5615. Let z = b + -1115. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 571462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 131023463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*s + 134 = -505 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/386368 and 97\/5052?\nAnswer: 487982784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 223 (base 4) to base 8\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 892190641540 - 127040809829588059\/142392. Let i = f - 5\/5933. Find the common denominator of i and 131\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5668.7, 0.06, 4, -0.5 in descending order.\nAnswer: 5668.7, 4, 0.06, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**4\/4 + 7953*y**3 - 20762883*y**2 - 1699397040*y - 34244356800 = 0.\nAnswer: -40, 5342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (129 - 82 - 88)*(16*d**2 + 8*d**2 + 8*d**2) in the form t*d**2 + x + g*d and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.84 - 0.16. Let d = 2.616 + -2.616. Which is smaller: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 5*g + 3*g)*(-18*g**2 - 294*g**2 + 888*g**2) + 0*g + g**3 + 0*g as s*g**2 + k*g + o*g**3 + j and give o.\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -276696, -553485, -830276, -1107069, -1383864, -1660661, -1937460?\n\"Answer: -s**2 - 276786*s + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -307*g**5\/300 - 101*g**4\/40 + 2*g**3\/15 + 2*g**2 + 409*g. Factor i(a).\nAnswer: -(a + 1)*(307*a - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-12 + 41)) + 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n + 4 = 0. Let y(v) = -2*v**3 + 5*v**2 - 5. Let a(j) be the first derivative of -j**4\/4 + j**3\/3 - j - 64. What is n*y(t) + 5*a(t)?\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 3. Let u be j(-3). Let p = 0.06 + 3.94. Let z = -44 + 133\/3. What is the closest to z in p, -1\/6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 4)*(69*g - 69*g + 170*g**2)*(2 - 4 + 4).\nAnswer: -680*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286837381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*i = -8 - 10, -2*j = i - 19. Solve 2*k - 9 = 5*p, -j = -3*k + p - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3446202 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9*(22\/(-18) + (-26)\/(-117)). Suppose -i*l + 77 + 94 = 0. Calculate the highest common divisor of 19 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.9 - -0.6. Let g = q + 1. What is the third biggest value in -2, 0, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/3 + 3122998*g\/3 - 2082000 = 0. What is g?\nAnswer: -3123000, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 149008253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**3 - 5*d**2 + 6*d + 5. Let n = 2778 - 2772. Let o(c) = -3*c**3 + 6*c**2 - 7*c - 6. What is n*m(r) + 5*o(r)?\nAnswer: 9*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -364714 to the nearest 10000.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1402946 + -467054. What is q rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5\/4, -5, 5, -2\/33?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 2*k + 19, 3*q - 73 + 49 = -3*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**2*k**3 + 2*g**2*k + 2*g**2 - 156*k**3 + 11*k**2 wrt k?\nAnswer: -6*g**2 - 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 8*v - 3*y - 6, 5*v = -4*y + 27. Solve -f = v*g, -g = -14*f + 13*f + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 63, 4, -2\/49, -2\/3, 0.14?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25757 + -25753. Solve -11 = 3*o + f, -p*o - 3*f = 2*f + 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102 - -293. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.5 + -5.5. Which is the nearest to p? (a) 2\/13 (b) -6 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1101220 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 150695510545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003428911 to 6 decimal places.\nAnswer: -0.000343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -3\/2, 0.2, -5, -4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, w: 1, a: 3, q: 10}. What is prob of sequence wcq?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 8*p - 1 = -3*k, -k + 3*p - 3 = 0. Sort 1, 3, 11, k, -2 in ascending order.\nAnswer: -2, k, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2937 and 164010.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.15 - 0.85. What is the fourth smallest value in a, 3\/4, 3\/2, -2\/17?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 4*(-4)\/(-8). Let w(p) = 32 - x*p - 2*p + p**2 - 2*p**2 + 5*p. What is the units digit of w(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6*n + 14800. What is n rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22385656\/(-240) - 1)\/((-6)\/(-3865)). Let v = 60088377 + w. Let o = v + -4012. Calculate the common denominator of o and -111\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 - 9*q**2 + 18*q - 12. Let d be 6 + -3 + 6 + -15. Is j(d) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dede when four letters picked without replacement from {d: 8, e: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008675595 rounded to six dps?\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3526 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140943\/44 - 1*(-5)\/(-20)?\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15241 - 6939?\nAnswer: -22180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 8:13 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z**3 + z**2 - 9*z + 10. Let r(y) = y**3 - y + 1. Let x(p) = q(p) - 6*r(p). Let k be -10 + 11 + -1 + 0 - 3. Calculate x(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 39. Let a(o) = -4*o**2 - 32*o. Let d be a(c). Factor d + 9\/4*f + 3\/4*f**2.\nAnswer: 3*f*(f + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1135)\/15)\/((-2)\/(-6)). Let h = i - -231. Solve -2 = -3*m + h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b. Let k = -11 + 16. Let w(h) = h + 2*h - h + k*h. What is w(q(o))?\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 3*h**2)*(13 - 39 + 16) + (-h**2 + 0*h**2 + 0*h**2)*(1 - 4 + 1) + 4*h**2 - 5*h**2 + 2*h**2 in the form b + n*h + a*h**2 and give a.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/36*(12\/(-5))\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9*s. Let j(g) = 60*g + 1 - 63*g - 8. Let h be j(-2). What is l(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/248 and -5\/3796976.\nAnswer: 117706256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1052486966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1\/2, -0.9, -77, -11, 0.186?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*i*m**3 + 2*g*i + 7*g*m**3 - g*m - 20*i*m**2 - 64*i*m + m**2 wrt m.\nAnswer: -12*g*i*m + 42*g*m - 40*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z**2 - 4*z - 2. Let a(b) = 20*b**2 + 11*b + 6. Suppose 20*r + 18*r = -r - 663. Determine r*j(y) - 6*a(y).\nAnswer: -y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/483*15\/25?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -6. Let b(y) = -6*y**3 - 2*y**2 - y. Let p be b(t). Suppose 3*n - 58 = -2*g, 5*n + p*g - 66 = 39. Solve -6*i + 2*i = -n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2189146 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 8*n. Let w(v) = -v**3 - 6*v - 35. Let t(r) = -r. Let m(c) = 6*t(c) - w(c). What are the prime factors of m(n)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/7976754 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -140085.\nAnswer: -280170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49565, 49341, 49117, 48893, 48669?\nAnswer: 48445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*i = 2*i + 20, 3*m = -3*i + 6. Solve m = 5*v - v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -758807, -1517590, -2276371, -3035150, -3793927, -4552702?\n\"Answer: u**2 - 758786*u - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 3b4594?\nAnswer: 3b4599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -11, 7, 43, 103, 193?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/3)\/i*i**5*i)**(1\/39) assuming i is positive.\nAnswer: i**(11\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 720 divide 4522320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 446*a**3 - 2*a**2 + 45*a.\nAnswer: 2676*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 71\nAnswer: 28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 10*j. Let l be r(-10). Is 17 a factor of 48 + 7 + (l - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, a: 2}. What is prob of picking 4 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 33964 * -0.23174\nAnswer: -7870.81736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25\/27 - -317\/270. What is the common denominator of x and 119\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2364 is divided by 66.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -188 - -385. Suppose 199 + m = 4*v. Let s be v\/((-12)\/(-4)) + -2. Solve s - 9 = -4*i + 2*c, -4*c = -4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20740 rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -13. Solve 5*i - 3*h = -2*h + 25, -4*h - g = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a factor of 58559662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n\/(n\/n**(3\/5)))*n)\/n**(-5))**42 assuming n is positive.\nAnswer: n**(1344\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7699, 30827, 69373, 123337?\nAnswer: 192719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8346 divided by 489\nAnswer: 2782\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -23*h**2 + 4*h + 1. Let j(g) = -133*g**2 + 26*g + 7. Let f(m) = -2*j(m) + 13*k(m). Let r(q) = -9*q. Determine r(f(o)).\nAnswer: 297*o**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9877 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - 2*l**2 - 4*l**2)*(-2*l + 4*l - l - l + 5*l - 2*l + (6 + 1 - 4)*(2*l + 2*l - 2*l) - 3*l + 0*l + l).\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -298*c - 1300*c - 541*c - 140*c to the form o + g*c and give g.\nAnswer: -2279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -207*u + 1. Let c = -44 - -41. Is s(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d. Let g(u) = -10*u. Let c(s) = g(s) - 4*i(s). Let b(m) = -11*m. Calculate b(c(l)).\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 2, a: 1, z: 2, f: 2, d: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k - 4 = 0. Suppose j + 5 = k. Let c(y) = -37*y + 7. Is 27 a factor of c(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 + 33 = -7*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1069474 divided by -70?\nAnswer: 76391\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -8*h + 5 + 6 + 9*h. Let s be k(-11). Solve -5*w = -2*l - 20 - 7, -5*l - 3*w + 10 = s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 12 = -4*z. Suppose 4*r = -z*h, 3*r + 6*h - 1 = 2*h. Put 4, -4, r in decreasing order.\nAnswer: 4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**2. Let q(t) = 2*t - 10. Let i be q(7). Let g(x) = -x**2. Let n(s) = -3*s**2. Let y(z) = i*g(z) - 2*n(z). Give y(b(k)).\nAnswer: 50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2064735 and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**2 - 1. Let w be q(1). Suppose -4*m + 4*j + 28 = 0, -2*m + m = -2*j - 4. Suppose 5*d = -2*t - 20, 0 = 4*d + 2 + 14. Solve -w*p - p - m = t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-9)\/4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118*y**2 - 121*y**2 - 391*y**2)*(-2*y + 5*y - 2*y)*(-1 + 1 + 1) - y**3 + 0*y**2 + 0*y**2.\nAnswer: -631*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1665*q**2 - 3147459 + 3147459 - 2579*q**2.\nAnswer: -4244*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + (-501)\/(-132))\/((-12)\/32). Sort -4, f, -18.\nAnswer: -18, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 4*p + 42 - 12, 4*a - 3*p = -35. Let x(u) = -u. Let b(f) = 3*f + 1. Determine a*x(v) - b(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2465422*n**2 + 2465422*n**2 + 12*n**3.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 1. Let p(j) = 3*j**3 + 4. Suppose -18*q + 36 = -15*q. Determine q*a(b) + 3*p(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -5.3278\nAnswer: -0.053278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41\/2? (a) 6 (b) -2\/5 (c) -109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 0*m**2 - 1\/3*m**3 + 1\/2*m**4 - 4*m + 0. Find the second derivative of j(f) wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4807)\/266 - -20)\/(6\/126*18). Factor -1 + h*w**2 - 3\/4*w - 1\/2*w**3.\nAnswer: -(w - 4)*(w - 1)*(2*w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 1877*l**7\/14 - 77*l**4\/4 + l**2 - 2028*l. What is the third derivative of d(s) wrt s?\nAnswer: 337860*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 489328 and 2138240?\nAnswer: 254450560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n + 3 - 2 - 13*n + (5 - 3 - 3)*(2*n + 3*n - 3*n) + 16*n + 2 - 2 to z*n + t and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*l - 0*l + 10, -3*l + y + 10 = 0. Let m(j) be the third derivative of 7*j**4\/6 + j**3\/6 + 4*j**2. Is m(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 4*i**2 + 4. Let g be s(4). Let h = g + 2. Solve r + 31 = -4*k + h*r, 0 = -4*k + 2*r - 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1808510\nAnswer: -2\/904255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*t**3 - 838864*t**2 + 300103568*t - 2.\nAnswer: 276*t - 1677728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 0.1, -0.5, -0.08?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50459532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 - -23b?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(3 - 2)*-5. Suppose 4*f = v*f. Let n(r) = r**2 - 3*r - 18. Let y be n(6). Solve p + f*p + 1 = y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6*o + 12. Let t be (-2)\/(-6) + 2\/3. Let z(f) = f**2 + 867*f + 2604. Let a be z(-3). Let y(r) = r - 1. Calculate a*y(i) + t*g(i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1188 - 1192. Which is the closest to -1\/9? (a) -0.4 (b) -0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 10 = -2*u + 2*t, 0 = u - 4*t - 23 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 119, 230, 421, 704, 1091, 1594, 2225?\n\"Answer: 2*q**3 + 28*q**2 + 13*q + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (1 - -5) + 5 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 59093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**4 - 143*z**3 - 8*z**2 + 8*z - 1041. Let k(y) = 47*y**3 + 3*y**2 - 3*y + 347. Let v(a) = -8*k(a) - 3*n(a). What is the derivative of v(t) wrt t?\nAnswer: 24*t**3 + 159*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 529 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -627 + 672. Calculate the remainder when u is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -11 + -46 + 11 + 36\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eid when three letters picked without replacement from {u: 4, y: 2, d: 1, e: 3, i: 1, v: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115 and 12004.\nAnswer: 1380460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 275 - 153. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*n**3 - 1835353*n**2 + 26283679 wrt n?\nAnswer: -9*n**2 - 3670706*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 7*f**2 - f + 5. Let m be l(-7). Let t = m - 6. Suppose 0 = -3*a - 12, -124 = 2*j - t*j + 5*a. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**3 + 4*d**2 + 9*d. Let u(l) = -40*l - 2*l**3 + 49*l - 439*l**2 - l**3 + 444*l**2. Give -4*c(t) + 3*u(t).\nAnswer: 3*t**3 - t**2 - 9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21115\/20378568 + 9\/5656. Let i = -61283\/57648 + g. Find the common denominator of 79\/10 and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**4\/6 - 5*f**3\/6 + 2*f**2 + 5*f. Is z(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(8505\/30)*21\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -3742753.\nAnswer: -3742763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40986 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i + 3. Suppose 0 = d + d - 0*d + 3*o + 4, 0 = -o. Determine c(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - 1*sqrt(114)*4)\/(sqrt(54)\/(-1*sqrt(9)) - sqrt(6)) - ((-2*sqrt(627) - sqrt(627))\/sqrt(11))\/(1*sqrt(432)).\nAnswer: 7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15543*v + 8059*v + 7776*v.\nAnswer: 292*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-177)\/(-6)*((-4360)\/(-327))\/(-40).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -996, -990, -974, -942, -888?\n\"Answer: i**3 - i**2 + 2*i - 998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by -36.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 441, -3, 0, -10, -563 in decreasing order.\nAnswer: 441, 0, -3, -10, -563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.5, -3, -1, 69\/19 in descending order.\nAnswer: 69\/19, 0.5, -2\/9, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msxx when four letters picked without replacement from {x: 5, s: 5, m: 4}.\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -270.98949 minus 4?\nAnswer: -274.98949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 2*b - 894 + 884, -3 = -b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60085 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 11:49 AM?\nAnswer: 338","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + y - 3. Let p be u(3). Let c(f) be the third derivative of -f**5\/60 - 5*f**4\/8 - f**3\/2 - 16*f**2. What is the tens digit of c(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5351, -10677, -16003?\n\"Answer: -5326*l - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 - (-1 + -1)*(1 + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k**5 - 4*k**3 + 6*k**2 + 6*k. Let q = -18 - -12. Let v(n) = -7*n**5 - 3*n**3 + 5*n**2 + 5*n. Let u(b) = q*v(b) + 5*c(b). Factor u(r).\nAnswer: 2*r**3*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 391288836?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120 - 40. Suppose 0 = s + 4*s - q. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -52, 14 in decreasing order.\nAnswer: 14, -1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -5, -13, -21?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.035 - 9.235. Let s = 2232499.20057 + -2232490. Let t = s + k. Round t to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 62681 and -35.\nAnswer: 62646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -118, -102, -86, -70, -54?\n\"Answer: 16*a - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*q = 0, -2*r - 3*q + 2 = 1. Suppose -4*k - h - h = 50, -r*k - 3*h = 31. Let n = k - -15. Solve -3*a - 12 = 0, n*u + 4*a + 24 = -8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5713 a factor of 314066096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36960\/33113 or -2?\nAnswer: -36960\/33113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-84)\/(-99) - (-4)\/(-6). Which is the nearest to 2? (a) u (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 - 616*l\/3 - 24139.\nAnswer: (l - 717)*(l + 101)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by (-61132)\/(-1428) - 4\/(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 4291 - 203 = 0. Suppose b - v - 4647 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -278393 + 718396. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - (-84)\/(-16))*52. Let s(k) = -k**3 + 2*k**2 + k - 1. Let i be s(2). List the prime factors of 1\/i*z\/(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/15*-15 + 149. Let n be (-4)\/(-6)*21 + 2. What is the greatest common divisor of n and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*o + 70*o + 36*o to the form k*o + f and give k.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 24*q**2 + 7*q. Let a(z) = 12*z**2 + 4*z. Calculate -7*a(p) + 4*c(p).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - f - 2. Let k be j(0). Let h be 3 + (-2 - -2) + k. Let t(p) = -4*p**2 + 0*p**2 - 1 + 2*p + 4*p**3 + 2*p**2. Determine t(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -37.09. Let o = k + 0.09. Which is bigger: o or 0.08?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)\/o**(-2\/55))\/(o**(-1\/2)\/o)**(-28) assuming o is positive.\nAnswer: o**(-2748\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2598*f**4 - 49*f**5 + 2598*f**4 + (2*f**2 + 0*f**2 - f**2)*(3*f**3 - 3*f**3 - f**3).\nAnswer: -50*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/(5460\/56))\/((-1)\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 3 = c - 5*z, -c + 2*z = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 1\/420*c**6 - 7*c**2 + 0*c - 1\/60*c**5 - 1\/21*c**3 - 8 + 1\/24*c**4. Let n(g) be the second derivative of u(g). Factor n(r).\nAnswer: (r - 2)*(r - 1)*(2*r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3818, -7620, -11420, -15218, -19014, -22808?\n\"Answer: q**2 - 3805*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1271138110 by 37386415.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 11*u - 6. What is the remainder when v(7) is divided by 0\/(-2) + 240\/10?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s**4 + 4*s**2 + 23*s**4 + 0*s**4 + 3*s**4 - s - 3*s**3 + 2*s**2 as z*s + a*s**4 + k*s**2 + p*s**3 + l and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xbnbsnsxbqxnsana?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1805, -3581, -5285, -6881, -8333, -9605, -10661?\n\"Answer: 6*q**3 - 1818*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 18*j - 16. Let m be a(-16). What is the common denominator of 18\/(-45)*(0 - (-66)\/m) and 4\/(-10) - 335\/(-400)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(51\/(-9) + 3). Let h(o) = -o**2 - 9*o - 8. Let z be h(y). Let x = z + 4. Solve -w = -x*w + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {e: 2, c: 1, b: 2, k: 2, w: 1, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 28 = 6*d, -3*d - 19 = 133*i - 129*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 3*p = -5*x - 10, 70*x = 71*x - 8*p - 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200, -203, -206?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.27*-967.8055.\nAnswer: -261.307485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 318047225 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 18124756?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -1\/336*d**8 + 0*d**5 + 1\/8*d**4 + 0 + 0*d**6 + 0*d + 0*d**7 + 0*d**3 + 2*d**2. Find the second derivative of s(u) wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -972 divided by -18.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/((378\/(-48))\/7).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 4, h: 2, g: 3, j: 2}. Give prob of picking 2 b.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 4942428*a.\nAnswer: 3*a*(a + 1647476)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3683439 and 741?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.03 - 21. Let b = -0.0323 + d. What is b rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 343, 534, 737, 952, 1179?\nAnswer: 1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 19*s**3 - 157*s**3 + 31*s**3 + 1 - 167*s wrt s.\nAnswer: -642*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - 6*sqrt(9)\/sqrt(3))*-4)**2 - (0 + sqrt(3) + 1 + 1).\nAnswer: -sqrt(3) + 1198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 498 = -4*a + 2*p, -4*a + 501 = p. Calculate the highest common factor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114 times 0.58\nAnswer: -66.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09900242 - -0.099. Round o to 7 decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/15*(-35)\/(-42)*3. Suppose -11 = -5*z - 1. Let o(t) = -10*t**3 + 0*t - t**2 + t + 7*t**3 + z + 2*t**3. Determine o(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuc when three letters picked without replacement from wwuccuccwcbc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c6 + -7e?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.7 - 5. Let q = -3.7 + f. Suppose 2*h = -2*y + 3 + 3, 0 = 4*y + h - 15. Which is the third biggest value? (a) 3 (b) q (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216146 divided by 30878\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 117.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -35058 divided by -1\nAnswer: 35058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-1\/8)*x)\/x**20)**(4\/7))**(-1\/7) assuming x is positive.\nAnswer: x**(145\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 18\/29, 2\/7, -1\/3, 1\/38, -9\/5 in decreasing order.\nAnswer: 18\/29, 2\/7, 1\/38, -1\/3, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 2*p = 17*x - 8645, 3*p - 14410 = -5*x. What is the remainder when x is divided by 152?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14997 is divided by 3710.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.1 * -10856674.\nAnswer: -109652407.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-17))\/(33\/(-6))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3233\/2667 - 353\/381. Factor 0 - 2*t**3 - 24\/7*t + 32\/7*t**2 + u*t**4.\nAnswer: 2*t*(t - 3)*(t - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 0.2 (c) -0.4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5100 by -50.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 174 - -8578. List the prime factors of k.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7753*u + 35100 + 58342 + 22853 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296 + 367164.\nAnswer: 367460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a312a75 + -3?\nAnswer: -1a312a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -u + 5*i, -4*i - 3 + 1 = u. Let y(l) = -l - 12. Determine y(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1464185 is divided by 464.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 + 35. Let o(c) = -c - 20. Let u be o(-20). Let d = u - w. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (65*j + 69*j - 63 - 132*j)*(43*j - 100*j - 48*j) in the form t*j**2 + r*j + f and give t.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-55 - 5)\/(-5)*(-6)\/(-12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 1. What is p(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 316 + 32*i - 316 + 6*i + 4*i + 2*i + (-4 + 0 + 2)*(2*i + 0*i + 0*i).\nAnswer: 40*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1419168 is divided by 998.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 23*h**2 - 3*h - 4. Let g(y) = y + 1. Let t(s) = b(s) + 4*g(s). Is 11 a factor of t(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 175 - 169. Suppose b*a = -15380470 + 43340470. Round a to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 + 2*o - 3. Let m be q(-2). Solve -m*z - 5 = -5*i, i - 14 - 3 = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4 = 0, 5*y = 359*q - 356*q + 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -770, -1637, -2706, -4079, -5858, -8145, -11042, -14651?\n\"Answer: -17*l**3 + l**2 - 751*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o + 4. Suppose -3*m + 16 = -o*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htcwwgdgh. What is prob of picking 1 t and 1 c?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 71948673 a multiple of 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5268662449359 and -0.4?\nAnswer: 5268662449358.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + -3 + 1)\/1. Suppose 2*o + n*v = 202, -3*o + 0*v + 3*v = -303. Round o to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 25 = -752. Suppose 0 = 135*l + 37711 + 16696 + 1618. Let u = o - l. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/4 (b) -2\/7 (c) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**3 - 39*q**2 + 30*q - 1. Let r(n) = 2*n**3 - 26*n**2 + 20*n - 1. Let t(a) = 5*f(a) - 8*r(a). What is the tens digit of t(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11896295?\nAnswer: 5, 2379259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -5) + (-5 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*u - 10*u - 12*u. Suppose u*r + 248 = 8*r. Calculate the remainder when 41 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2\/13 (b) 1\/9 (c) -37 (d) 4 (e) 19\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 + 1822*q**2 + 41047*q + 4698. Calculate r(933).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4848991052?\nAnswer: 2, 29, 283, 147709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -180\/37 or 4\/481?\nAnswer: 4\/481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 3:18 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 20*m**2 + 1. Let k(a) = 735*a. Give h(k(f)).\nAnswer: 10804500*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ddeda - 54?\nAnswer: -2de03e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1, 10681\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 206043 to the power of 1\/2, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5 = -5*b, -q + 0 = 2*b + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 269780 and 116235.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562179319?\nAnswer: 13, 521, 83003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33.1695 and 1.74?\nAnswer: 57.71493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-2)*((-2414)\/(-136))\/(-71).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1071*b**3*t - b**2*t + 4825*b*t wrt b?\nAnswer: -6426*b*t - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 3*b - b - 482*b + 82*b - 74*b + 2*b - 3*b + 2*b + (4 + 1 - 3)*(-b + 0*b + 3*b).\nAnswer: -467*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1743, -5755, -12437, -21789?\nAnswer: -33811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6534 divided by 22\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8376 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z + 16 = 28*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - d + 31 = 0, 3 + 86 = 3*y + 2*d. Do -4 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**2 - 2295*d - 510860 = 0.\nAnswer: -164, 623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 11154?\nAnswer: 11154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -76 (b) -3 (c) -1\/4 (d) 2\/29 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9*y = 2184. Let n = y + 530. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-2 - -1) - (8 - -43 - 43)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2200000 to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 2*w - 16 + 7)*(w**2 - 3*w**2 + 0*w**2) + 14 - 14 + 6*w**3.\nAnswer: 10*w**3 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.465 + 65.935. Let d = i + -66. Let f = 4.98 - -0.02. Which is the nearest to -3\/4? (a) d (b) -2\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2862 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4734 + -18837\/4. Calculate the common denominator of -47\/8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -259.1052711286?\nAnswer: 259.5052711286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 704 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 105\/10*(-2)\/3. Let m(u) = -u**3 - 8*u**2 - 8*u - 3. Let j be m(x). What is the derivative of 8 + p**4 + 0*p**j - 2 wrt p?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 - 2012*s. Let n(b) = 511*b. Determine n(m(h)).\nAnswer: -1022*h**2 - 1028132*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 3.3503.\nAnswer: -1.00509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 14 = -5*s, -3 - 4 = 3*s + 2*u. Let t(q) = -q**2 + 1. Let d(c) = -2*c**2 + c + 3. Let v(p) = s*d(p) + 7*t(p). Factor v(o).\nAnswer: -(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 1, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 81261, 177236, 273213, 369192, 465173, 561156?\n\"Answer: d**2 + 95972*d - 14712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 9*x**2\/2 - 13*x - 2. Let p be z(2). Let s = -30 + 152\/5. Is p <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 3*j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11094843 is divided by 119?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - s. Let b(a) be the third derivative of -a**5\/30 + a**4\/8 + a**3\/6 + 15*a**2. What is b(r) + 3*x(r)?\nAnswer: r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 61*r - 113. Let h be i(59). Let p(l) be the first derivative of 5*l + 0*l**3 - 9 + 0*l**2 + 0*l**4 + 3\/5*l**h. Differentiate p(k) wrt k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 56 + 8 = 0. Let b be 798\/8 + (-12)\/g. Suppose 3*k = -2*k + b. Is 20 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3802*w - 244*w - 54316 = -171650 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -122666 divided by -961?\nAnswer: 122666\/961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**5\/20 + f**4\/3 - 2*f**3\/3 + f**2 + 631*f. Let i = 20 - 17. What is b(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16317 and 197358.\nAnswer: 4144518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/(-5))\/((-2)\/14))\/((-1)\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (18\/2 - -2). Let u = -3 - g. Calculate the smallest common multiple of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 229*x - 129*x - 100*x + 15546*x**2 to the form p + w*x**2 + n*x and give w.\nAnswer: 15546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2133120 (base 4) to base 8.\nAnswer: 23730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 + 0.2. Which is the closest to -0.4? (a) -2 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25e - -387c6?\nAnswer: 38567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6595842443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + (sqrt(44) - (sqrt(220)*2)\/sqrt(5))\/(sqrt(484)*-1 - sqrt(4)).\nAnswer: sqrt(11)\/12 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/6*81\/(4 - 1). Let l be (-1)\/(-1) + -1 + 12. What is the highest common divisor of z and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u + 3069 = 54*u. Calculate the lowest common multiple of 198 and u.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(7 + 27 - 11 - a)*(-5*a**2 - 5*a**2 + 6*a**2).\nAnswer: 8*a**3 - 184*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -1 (c) 3 (d) 45 (e) 0.2 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 + 0\/(-4) + -4. Suppose 0 = n*x + 3*y - 15, 0*y = 3*y. What is the smallest common multiple of 8 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118\/(-26) - (423 + -428).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -33 (b) -0.2 (c) -0.3 (d) 1\/40 (e) -0.4 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 10380997 = 5*v + 130952, 4*z = -5*v + 10250054. Suppose -2*j - 820020 = -2*l + 2*j, -v = -5*l + 2*j. What is l rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9270670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 9 = -5*y. Suppose -y*u = -8*u + 20. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -9*i**2 + 21*i + 3. Let b(f) = 8*f**2 - 20*f - 2. Give -5*b(c) - 4*y(c).\nAnswer: -4*c**2 + 16*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 3*f + 5, 5*q - 2*f - 30 = -f. Suppose 0 = -4*x + 5*i + 4, -4*x - q*i + 3 = -x. Let t(j) = 9*j**2 - 2*j + 1. Give t(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 13. What is z(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 5*t - 57 = 0, -18*t = 2*u - 30*t + 8 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/518 and -69\/1624154.\nAnswer: 60093698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1694569199?\nAnswer: 3499, 484301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27742 and 3289.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -65*v**4 - v + 20?\nAnswer: -260*v**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000095471 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 217\/6293 + 1\/(-870)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415875328.\nAnswer: 2, 11, 23, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4*a = -2, 0 = 2*b - 3*a - 982 + 970 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 204190046 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6778 = 6741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 19 + (5 - 9) + 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaabbbabbabaxaabbbb. What is prob of sequence axab?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92692 * 0.16.\nAnswer: -14830.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/24*-1)\/((-2)\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/374*(-5)\/(-15).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.27, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2. Let q = 26 - 20. Let f(k) = 230*k - 65. Let i(n) = -21*n + 6. Let j(u) = q*f(u) + 65*i(u). Give s(j(d)).\nAnswer: -900*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q**2 + 9*q - 9. Let z(d) = -d**2 + d - 1. Let g(i) = 2*f(i) - 18*z(i). Let p(k) = 21 - 14 - 7 + 3*k**2. What is g(p(c))?\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12878.3 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 7*w + 9. Let i be r(8). Suppose -2*u = -0*u - 34. Calculate the greatest common divisor of u and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 7*y - 27. Suppose y*k = 7*k - 39. Suppose 3*w - k*w + 330 = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675374.\nAnswer: 2, 7, 19, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018070433 rounded to six decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6*b - o + 532, -2*b = -5*o - 244. Calculate the remainder when b is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/1134 - -17569\/9072. Calculate the common denominator of l and 131\/516.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (105\/245)\/((-1)\/(-7)) + -2. Let d be -14*11\/(-154) - r\/4. Let 3\/4*m**3 - d*m**2 - 3\/2*m + 0 = 0. What is m?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (11 + 4 - 10) - (0 - 19)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 + 17*r**2 - 12*r - 35. Let i be u(-9). Let y(v) = 8*v**2 + 2*v + v**3 - v + v - 4*v - 11. Determine y(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**5\/30 + h**4\/6 - h**3\/3 + 7*h**2. Factor n(i).\nAnswer: -2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b. Let i(t) = 6*t. Let q(h) = -11*f(h) + 4*i(h). Let d(o) = 11*o**2. Calculate d(q(l)).\nAnswer: 44*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 27?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56252?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 13. Let q(s) = s**2 - 2*s + 1. List the prime factors of q(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -520 + 755. What is a rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10370 and 802638?\nAnswer: 2074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**3 - 2*w**2 + 2*w - 6. Let v(t) = 2*t**3 + t**2 - 2*t + 5. Calculate -6*s(d) - 7*v(d).\nAnswer: 4*d**3 + 5*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 3)*(2 - 2 - 3)*(-2667*a - 33*a**5 + 2667*a).\nAnswer: 99*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398*g = -408*g + 220. Let v(s) = s**2 - s + 110. Suppose 0 = 16*n - 17*n. Let f be v(n). Calculate the highest common divisor of g and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 10*b + 68 + 61 = 124, -5*b = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2726*p + 3272*p - 1624*p = -7*p - 337337 for p.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*u**2 + 0*u**2 + 22*u - 13*u + 46*u.\nAnswer: 5*u*(5*u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*q - 18 - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*((-1)\/(-46))\/(2\/48). Let s = -152\/69 + g. Find the common denominator of s and -113\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3028696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(13) + -3)*-6)**2.\nAnswer: -3456*sqrt(13) + 12672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 863 - 920. Sort 4, -4, k, 0.5.\nAnswer: k, -4, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2660 - 1324 - 118*s**2 - 1335.\nAnswer: -118*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65149\/3030 + 2\/1515. Let l be (2\/92)\/((-310)\/(-6457)). Let b = -2\/713 + l. Calculate the common denominator of n and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, j: 1, h: 6, a: 1, n: 3}. Give prob of picking 2 h, 1 f, and 1 n.\nAnswer: 135\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30024.1 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 6*p**2 + 2*p + 14. Let z be x(-6). Suppose 3*k + z*v - 37 = 0, 0*v + 4*v + 16 = 0. Solve -2*w - 6 = -3*w - t, -5*w = -4*t + k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 4*b**2 - 3*b. Suppose -3*p = 3*o + 30, 2*p - 2 = o - 7. Let n be t(p). What is the common denominator of 4 and n\/22 - (-2 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8821819?\nAnswer: 8821819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -17.5, -356\/9, 3?\nAnswer: -356\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 29. Let d be 90\/50*(-10)\/(-6). Is h at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q - 2*q + q**2 + 0*q**2 + 10. Does 10 divide c(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*o - 110. Let t = 9 + -4. Calculate the greatest common factor of o and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**2 + 4*q + 2. Let c be j(2). Calculate the common denominator of -101\/10 and (-54)\/c*(-2)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*s - 38, -4*s + 2*o + 27 = -3*o. Let f = 14 - s. Let k be 5*-6*(-2)\/f. Calculate the highest common divisor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/13, -2\/9, 8, 3\/26?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w - 52*w = -468. Solve -x - 5*b + w = 3*x, 6 = 3*b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6354275, 12708544, 19062805, 25417052, 31771279, 38125480, 44479649?\n\"Answer: -h**3 + 2*h**2 + 6354270*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*x + 12*x**2 + 146*x - 286*x - 2*x**2.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -2 + 0*o - 2\/5*o**5 + 0*o**4 - 3\/2*o**2 + 0*o**3. Find the second derivative of s(c) wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebb. What is prob of picking 2 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3758465\/3 != -1252823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = -2*o, 0 = j - 5*o - 11. Solve 3*u + q - 8 = 5*u, 0 = -3*q - j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**14*s*s*s))\/(s**(-19)*s)*s**(-5)\/(s\/s**(-2)) assuming s is positive.\nAnswer: s**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/6)\/(26\/195). Let g be 12\/60 + (-24)\/b. Suppose 2*w - g*w - c + 24 = 0, 31 = 4*w + c. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 62 - 70 + 204 - 72.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 675?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651791 is divided by 583.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 0.01, 65, -1.\nAnswer: -1, -0.09, 0.01, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52943*d + 9315 with respect to d.\nAnswer: 52943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -67, 28, 123?\n\"Answer: 95*c - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -19. Let o be (2\/3*m)\/2. Is -0.2 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 6*v - 3. Suppose 2*i + 0*i = 12. Let j = i + -8. Sort j, v, -0.2 in decreasing order.\nAnswer: v, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-44)*(30\/(-9) - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*k = 9, -2*g + 5*k - k + 24 = 0. Suppose g*q - 10 = 4*q. Suppose -a - 4 = -0*a, 0 = q*t + 2*a - 582. What are the prime factors of t?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*m - 15. Let q = 5 - -9. Suppose -3*u - 5*h + 0 - 5 = 0, -4*u - 3*h = q. Put m, u, 0 in descending order.\nAnswer: m, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5227.542 meters to millimeters.\nAnswer: 5227542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 149, -5, 193957 in decreasing order.\nAnswer: 193957, 149, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/5 - 419701*f**2\/5 - 8807152672*f + 308270909212\/5.\nAnswer: -(f - 7)*(f + 209854)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32982 is divided by 32934?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*c - 67. Suppose -5*g - 9 = -c. Suppose -g*x = -5*x + 16. What is the remainder when 46 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112 - 252. Let t be (1 + 1*3)\/(u\/490). Let g = 31 - t. What is the highest common divisor of 9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1567, -6320, -14225, -25276, -39467, -56792?\n\"Answer: x**3 - 1582*x**2 - 14*x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15864 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9478451 is divided by 1782.\nAnswer: 1775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.086, 11, 5, -1\/62?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 49 + 19. Let k = 28 + d. Calculate the smallest common multiple of k and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2058188 + 2058188 + 37*q**2.\nAnswer: 37*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-12))\/(((-63)\/28)\/3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6776a + -5?\nAnswer: 67765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7*-10*2\/(-455). Factor -2\/13*t**2 + 0 - 2\/13*t**4 - p*t**3 + 0*t.\nAnswer: -2*t**2*(t + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324 divided by 581?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 - (-20 + (14 - 13))) + 46?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 188 and 29563?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2560 and 990.\nAnswer: 253440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -5. Let y(q) = 22*q**3 - 19*q**g + 0 + 2*q - 1 - 4*q**2 - 1. Is y(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, y: 3, b: 7, u: 1, g: 5}. What is prob of picking 2 g and 2 y?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**5\/30 + b**2\/2 - 2. Let t(d) be the second derivative of a(d). Solve t(j) = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/100 - ((-1719)\/(-75) - 5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*s**4 - 8*s**4 + 5*s**2 + 20*s**2 + (-4*s**3 + 2*s**3 + 0*s**3)*(-s + 0*s + 2*s).\nAnswer: s**4 + 25*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42129*r*w**3 + 2*r*w + 37*r - 46*w**5 - 2*w + 21189 wrt w.\nAnswer: -252774*r*w - 920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 5*z**2 - 13*z + 10. Let s be i(-7). Suppose -p = -3*p + 4*y + 2100020, -s*p - 3*y = -3149985. Round p to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448 = -3*u + 7*u + 3*q, -5*u + 2*q + 583 = 0. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34106317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2987 and 53099.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4 + 1 - 8 + 4 + 4 + 2 - 5 + (1 + 0 - 2)*(0 + 2 - 4) - 1 - 3 + 3 - 1 + 5 - 9)*(-3 + 3 + r**2).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4560550 divided by 9\nAnswer: 4560550\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-8))\/h)**43\/(h**(-2\/5)\/h**(-1\/6)) assuming h is positive.\nAnswer: h**(-10313\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 1044296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.89 + -0.11. Let w be (-11)\/(-2)*(2 + 147\/(-77)). What is the nearest to u in -2\/7, w, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3*k**3 + 2*k**3 + 15 - 7*k**3.\nAnswer: -8*k**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7)\/(-126)*(37 - 2) and 75\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120991 divided by -2951.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34902*b*c**3 - b*c**2 + b*c - 6*b - 1339*c + 1 wrt c.\nAnswer: 209412*b*c - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/31, -1\/6, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*k + 2*k**3 - 1563*k - 4*k**3 + 605*k + 604*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1178\/4565 or 1?\nAnswer: 1178\/4565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1459693 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -122934, -245837, -368736, -491631?\n\"Answer: 2*p**2 - 122909*p - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 10*f**2 - 15*f + 246. Give b(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*i - 1018816 = -1054896 for i.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*c + 303 = 129*c + 3*b, 2*c - 4*b - 72 = 0. Solve -8*v + 6 + c = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*s - 4*j = -288*s + 112, 0 = -s + 26*j + 628 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 + 475*h**2 - 377531*h - 1134017\/3.\nAnswer: (h - 569)*(h + 1)*(h + 1993)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34100 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/(-55)*(-33)\/6. Let l(w) = -8*w + 19. Calculate l(h).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -302.648 + 302.7. Round j to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98*17.4\nAnswer: 1705.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 371155 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247789556?\nAnswer: 2, 7, 8849627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*((63\/(-2))\/7 - -3). Are f and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -992806, -1986023, -2979240, -3972457, -4965674?\n\"Answer: -993217*h + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 40 + 8. Suppose 12*i + 39 = 15*i. Suppose -i = -3*m + y - 45, 0 = 5*m - y + 50. Which is bigger: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109847*x**3 - 4*x**2 + 109263*x**3 - 1337*x - 1950*x wrt x.\nAnswer: -3504*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1602 + 1627. Let i = 1\/24 + -5\/24. What is the third smallest value in i, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s)\/(s*s**17) assuming s is positive.\nAnswer: s**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32052139477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -26 (b) 25 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251 = -54*p + 397 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12716 and 4301.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -5*x - 12, y - 4*x + 9 = 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6200 and 1116?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5*z - 6 = 14, -q - 2*z = -4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 535937.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 90 = 6*f. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 16 = 0, -5*i + i = 4*a + 64. Let f = -15 - -35. Let u = i + f. Solve d - u = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:12 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -28*r**3 - 63048*r**2 - 1725600*r + 498176 = 0.\nAnswer: -2224, -28, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 9:01 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21303 + 3?\nAnswer: -21300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -551*o**2 - 133. Let d(s) = 25*s**2 + 6. What is 133*d(q) + 6*f(q)?\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - 3 - 2*m + 2 - 2*m + 11*m - 4*m + (-3 + 0 + 1)*(0 + 0 - 3*m) + (-3 + m + 3)*(0 - 2 + 0) + m + 4*m - 6*m + (-1 + 2*m + 1)*(-1 + 1 + 1).\nAnswer: 7*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -25.83. Let o = p + -0.153. What is o rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/80 + (-14)\/(-5). Let n = 0.437 + -0.537. Let j = -0.2 - -4.2. What is the closest to n in j, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -196 - -198. Suppose m + 1 = r. Solve 0 = o - r*o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5645 (base 9) to base 11\nAnswer: -3153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-44) + (22 - 5664\/264).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 223*j**3.\nAnswer: 223*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -5. Let h be 4*(-1)\/(-10) + (5808\/(-55))\/(-16). Put h, y, 6 in increasing order.\nAnswer: y, 6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -688 + 691.664. Round i to 1 decimal place.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/5)\/(19\/(-95)). Is 6995\/((1 + p)\/12*3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and -25726.\nAnswer: 437342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 94 - 10840?\nAnswer: -10757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + -934?\nAnswer: -943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 19714 + 13733 - c + 2*c as b*c + o and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**2\/2 - 12*c - 3. Suppose 0 = -4*l - 66*g + 65*g + 60, -g = -l + 20. What is a(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103011 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.1 - 84.9. Which is greater: f or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50523 (base 7) to base 13.\nAnswer: -5778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -4*j - 44, 4*j + 8*k + 4 = 4*k for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 4. Let k be p(7). Suppose -q + k = -3*q. Which is smaller: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oloofolklofllot. Give prob of sequence ll.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2583 - -3858. What is the greatest common factor of m and 600?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 times -0.121515\nAnswer: 2.794845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013325275 to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 561571 or 561573?\nAnswer: 561573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 664048453 divided by -1.\nAnswer: -664048453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -14*m**2 - 10. Let u(w) = -w**2 - 1. Let p(n) = -h(n) + 10*u(n). Let t(a) = 6*a - 2*a - 2*a. Determine t(p(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*f**3 - 2*f**2 + 8*f**2 + 106*f**4 - 185*f**4 - f**3 + 2*f**5 + 67*f + 89*f**4 wrt f.\nAnswer: 120*f**2 + 240*f - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 952137 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1010 - 703. Let c = r - 216. List the prime factors of c.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 798.9097 milligrams to grams.\nAnswer: 0.7989097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 830339?\nAnswer: 830337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22619405 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -4\/13, 146, -31?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2 of a kilometer in meters?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 61144224439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*a + 5*a - 4*a)*(3 - 5 - 1) + a - 2*a + 2*a + (0 + a + 0)*(-4 + 0 + 1))*(a**2 + 0*a + 0*a) to v*a**3 + p*a + g*a**2 + l and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.965*-0.0962\nAnswer: -0.092833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -4*l - 1\/12*l**4 + 1\/20*l**5 + 0*l**3 + 0 - 1\/42*l**7 + 1\/30*l**6 + 0*l**2. Factor j(t).\nAnswer: -t**2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**2 + x**2 + 15*x**2.\nAnswer: 23*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1426736 - -4?\nAnswer: 1426742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 4, b: 3, u: 3, y: 3, h: 2}. Give prob of sequence hh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 934, 4, -2 in decreasing order.\nAnswer: 934, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20520 and 22275?\nAnswer: 3385800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 76*v**2 - 462*v + 36. Let x be i(6). Let y = 11 - 7. Which is the closest to x? (a) 1\/2 (b) 0.05 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 + -11. Calculate the remainder when q is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 124488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a**4 + a**4 - 23*a**4)*((-2 + 3 - 2)*(-3 + 0 + 5) + 0 - 4 + 5 + (0 + 5 - 4)*(3 + 0 - 1) + 4 - 4 + 2).\nAnswer: -90*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + i**2 + 4*i - 16. Let x(v) = 2*v**3 + 2*v**2 + 3*v - 17. Let d(t) = 3*p(t) - 2*x(t). Is 26 a factor of d(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: -2332106*-3.24\nAnswer: 7556023.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 182308582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 15. Solve n = -0*o - 2*o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02076661136 to five dps.\nAnswer: 0.02077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4972*h - 81552 + 529032 = 0 for h.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*t + 732*t + 390 = 326*t. Suppose w - 4 = -6. Let b = w - 1. Put 2, t, b in descending order.\nAnswer: 2, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2. Let f(a) = 25*a**2 + 9*a + 2200. What is f(k(l))?\nAnswer: 225*l**4 + 27*l**2 + 2200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1042*z = -10*z + 1720 + 61400 for z.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r - 3*r**2 + 4*r - 6 + 6*r**2 + 11*r. Find the first derivative of x(s) wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + -7 + 6 + (-8 - ((-37 - -10) + 6)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-5))\/m**(-5))\/(m*m**(-2\/11)*m**(-2\/9)))**(2\/15) assuming m is positive.\nAnswer: m**(412\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -33298*i**2 + 50*i - 52. Let l be y(1). What is l rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-14))\/(21\/6*(-1248)\/2912)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-21)\/(-6))\/((-4)\/(-248)). Let i = o - 134. List the prime factors of i.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -2 + 3\/20*q**5 - 18*q - 6*q**2 + 9\/2*q**3 - 3\/2*q**4. Factor f(z).\nAnswer: 3*(z - 4)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.1, -5, 0, -3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*c + 4*d, -1551*d - 15 = -1556*d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 8:39 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*f - 103 - 73. Let s(j) = -j**3 + 5*j**2 - 3*j + 12. Give s(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 118720 or 118612?\nAnswer: 118720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 153108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t - 5. Let k(h) = -11*h + 10. Let d(f) = 4*k(f) + 9*r(f). Let o be d(5). Let y = -0.6 - -0.4. Which is the biggest value? (a) y (b) o (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64603849?\nAnswer: 23, 2808863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -335 > -336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (8 + 0 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96152 and 5100?\nAnswer: 7211400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 1 = -h, 1461*h - 1464*h = 2*i + 22 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/21)\/(1334\/4669).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15103076 (base 10) to base 15\nAnswer: -14d4ebb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-8)\/192*-42?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**3 + 35965*v**2 - 1004080*v + 7021700 = 0. Calculate v.\nAnswer: 14, 7165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**4 - 4*l**3 + 2*l - 4. Let y(v) = v**4 + v**3 - v + 1. Let n(u) = -5*h(u) - 20*y(u). Find the second derivative of n(d) wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 13*v**3 + 3*v**2 + 18*v + 19. Let k(p) = -6*p**3 - p**2 - 9*p - 9. Let j(n) = 2*f(n) + 5*k(n). What is the tens digit of j(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 864 and 864.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-264*o + 80*o**2 + 264*o)*((-2 + 1 - 1)*(5 - 4 - 3) + 1 - 2 + 4)*(-1 - 2 - 6*o**2 + 1 - 2*o) in the form c*o**3 + u + x*o + f*o**2 + i*o**4 and give f.\nAnswer: -1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8542*z**2 - 896*z**2 - 10605*z**2)*(-4*z + z + 6*z) to a + n*z**2 + u*z**3 + h*z and give u.\nAnswer: -60129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-104)\/(-78) - 2\/3. Sort 3, 3\/11, b in decreasing order.\nAnswer: 3, b, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -20. Let c be (s - 2)*(0 - -1). Suppose 0 = -3*p + 4*n + 119, 4*p + c*n - 4*n = 146. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from uuullluulululuuuuu?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 121*m**2 - 319*m - 315*m - 289*m**2 + 635*m to p + d*m + w*m**2 and give w.\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**3 + 96*w**2 - 332*w + 240 = 0. What is w?\nAnswer: 1, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/1477 - -1474\/4431. Let v = 49 + -51. Put v, j, 0.15, -0.1 in descending order.\nAnswer: j, 0.15, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 - 65. Let y = c - -5. Solve y*n + 2 + 6 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/24)\/(33\/(-44))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 + 0*r**2 + 2*r**3 + r + 4 - r**3. Let f = -3995 + 3991. Give d(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u + 63. Let o be g(6). Suppose -5*j - 5*q = 5, -q + 10 = 4*j + 2. Let x(f) = 5*f**2 - 62*f + 19. Let t be x(12). Sort o, 5, j, t.\nAnswer: t, j, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 + -5.231?\nAnswer: -5.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6195.435 micrometers to nanometers.\nAnswer: 6195435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*x - 38*x + 1470*x**3 + 1450*x**3 + 120*x - 43*x - 2917*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -3448*z + 3445*z + 3, 5*z + 1 = 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (41*(-330)\/(-2255))\/(2\/(-4))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -226597 + 397980. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - 2)*4 - (-3492 + 32)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 6. Let h = -45 - -40. Which is the third biggest value? (a) h (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 300*v - 22500.\nAnswer: -(v - 150)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -6. Calculate the least common multiple of (d\/(-4))\/((-5)\/(-120)) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92564 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 6*a = -55. Is 54 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.757 + -12.7. Let i = -24.9376 - -25. Let k = i - p. What is k rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 22. Let u = -0.02 + a. Let l = -1.097 - -0.097. Which is greater: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + x + 75, 2*s + 12 = -3*x - 18. Let k be 3\/(s\/(-45) - 4\/3). Which is the biggest value? (a) k (b) 3\/7 (c) 4 (d) 3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1616369309 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-8232)\/(-1260) - 1*7\/3\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -31. What is the biggest value in t, -5, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23204 (base 6) to base 8\nAnswer: 6364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 3*a - 16. Suppose 15 = -4*d - 117*j + 116*j, 0 = -2*d + 2*j - 20. Give w(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + 0)\/((5 + -1)\/12). Solve -3*o + 0 = -l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/9 and -103\/36790.\nAnswer: 331110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 9:14 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 7 - 2 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947949 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**3 - 4*a**2 - 6*a - 5. Let f be d(-1). Let q(k) = -5*k**2 - 3. Let z(b) = b**3 + 4*b**2 + 3. Give f*q(m) + 3*z(m).\nAnswer: 3*m**3 + 2*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*u = -3621 - 2184 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 20c8d5?\nAnswer: -20c8da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - o - 1. What is b(8)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-0.11\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 2 + 2*d - 19*d.\nAnswer: -17*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = 8*c + 5017117. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/5 in 3, 1\/9, 4, -51?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2\/(-12)*-2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 405.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11211\/11 + 1197. Let v = 34801\/198 - f. Find the common denominator of 1\/6 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3354971.\nAnswer: 3354971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 750, 748, 746, 744, 742?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 25 = j, 4*j = -4*m - 8. Suppose -3*o = -39 - m. Suppose -q - 5 + o = 2*s, 4*q = 3*s - 19. What is the nearest to q in 5, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 7*m**2 + 4*m - 3. Let v be r(3). What is the units digit of 38\/9 - (-6)\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + 5. Let r = h - 47. Suppose 0 = 14*d - r*d - 1044. Is 43 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1159\/9 - -129. Let q = 25 + -24. What is the nearest to q in v, -2\/7, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6827 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 4*d. Suppose -a - 3*z = -8, -5*z = d*a - z - 12. Suppose a*f - 7 = -3. Solve -f*p = p + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - h - 2*h**3 + (-55 + 67 - 128)*(16*h**3 - 15*h**3 - 28*h**3) + 2*h**3 - 2*h**3 + 2*h**3.\nAnswer: 3132*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023769 is divided by 409.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 8 = 4*y, 2*n + 6*y - y = -10. Suppose n = 8*w - 13*w + 20. Solve o + u + 0 = -7, 0 = -w*u - 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3015 * -24.\nAnswer: -72360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**19\/q**(2\/87) assuming q is positive.\nAnswer: q**(1651\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/12 + 0)\/((-24)\/(-2560)*16)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17124, 138356, 467378, 1108074, 2164328?\n\"Answer: 17314*c**3 + 11*c**2 + c - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18191*h*m**4 + 6*h*m**3 - 15*h*m + 14*h - 53*m wrt m?\nAnswer: -218292*h*m**2 + 36*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/6498 and 3\/209.\nAnswer: 71478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 32*w. Let v(c) = -c**2 + c + 1. Let r(m) be the first derivative of -2*m**3\/3 + m**2\/2 + m + 14. Let u(x) = -r(x) + v(x). Give u(p(o)).\nAnswer: 1024*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 29*2369\nAnswer: 68701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, q: 5, x: 3}. Give prob of picking 1 x, 1 q, and 1 k.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1136 + -1142 + (49 - 1)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2342401 is divided by 259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*j + 52*j + 18758 = 2*u, -4*u = 4*j - 18748. Calculate the greatest common factor of j and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 380858346 and 10.\nAnswer: 1904291730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, v: 4, t: 3, j: 1, a: 3, z: 1}. What is prob of picking 1 j, 1 v, and 1 z?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**2 - 20*k + 66. Suppose 14*i + 18 = 16*i. Let r be b(i). What is the greatest common divisor of r and 194?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6264)\/48*2\/(-3) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -71660, -2\/45, 13?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t - 3. Determine q(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 814 divided by -74?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) -3 (c) 59\/6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-13 - -4 - -12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 12*c + 28 = 0. Calculate the remainder when c is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 649065 to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 7) in base 12?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 1700?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 190\/440 + (4 - (-153)\/(-36)). Which is the nearest to -23? (a) -2\/7 (b) 3 (c) x (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19753?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-9 - -1 - (1 + -7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69*o**2 - o - 448?\nAnswer: -138*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -61*r**3\/6 - 11*r**2\/2 - 24*r + 19. Let y(d) be the first derivative of n(d). Find the first derivative of y(p) wrt p.\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(1\/51)))\/(x*x**(-28)*x))\/(x*x**(2\/39)*x*x*x*x*x**(-2\/41)) assuming x is positive.\nAnswer: x**(190436\/9061)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001213 to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 0*w + 35\/3*w**3 + 127\/2*w**2 - 114. Find the second derivative of z(p) wrt p.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*z - 2245 = -126*z. Let u = -447 + z. Let b = -2 - -5. Solve p = b*d - 16, u*d + p + 0*p = 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34093, 34413, 34945, 35689, 36645?\nAnswer: 37813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 153 + -150. Let o(g) be the first derivative of 4\/3*g**h - 6 + 0*g**2 - g - 1\/4*g**4. What is o(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9576, -19154, -28734, -38316, -47900, -57486?\nAnswer: -67074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -614, 2061, 4774, 7531, 10338, 13201, 16126, 19119?\n\"Answer: a**3 + 13*a**2 + 2629*a - 3257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**1)**3*r*r**4*r*r*r*r**(-2)*(r**(-2)*r\/(r*r**(2\/47))*r)**(-8\/3) assuming r is positive.\nAnswer: r**(2084\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4 + 5, 3*z + 4*w = 89. Solve -21 = z*b - 24*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343188840 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 10.3 (c) 7\/64388\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 13*h - 8*h - 8*h - 9. What is the units digit of r(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*i + 81 = -165, -4*p = -3*i - 993. Let r = p + -241. Solve 4*n + 8 = -r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-12) - 26\/24. Is b at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -792a?\nAnswer: 7926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 14*g + 21. Let j be p(-15). Let a = 25 + -7. Let m = j - a. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*f - 827, -32*f + 37*f + 1684 = 2*u. Let a = u - 832. Solve 0 = -4*t + o - 6*o + 25, 27 = a*t + 2*o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/7 (b) 3557 (c) -12 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2. Let d(p) = 6*p**2 - 4*p - 3. Let n(g) = -2*a(g) + d(g). Calculate the remainder when n(-2) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -9*k. Let x(w) = 42951*w**2. Calculate x(q(d)).\nAnswer: 3479031*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/19, -3, -0.9, -3\/2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2020 is divided by 269?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(121)*-4 - sqrt(121))\/((sqrt(891) + sqrt(891)*-5 - sqrt(891)) + sqrt(11)))**2.\nAnswer: 169\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7415338*t - 14604165*t + 1565975*t.\nAnswer: -20453528*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (174\/(-120))\/(458\/2290).\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 2. Let d be (4\/8)\/(n\/10). Suppose 2*g + l + 4 = 0, 2*g + 3*l + 7 - 3 = 0. Is g at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 - a**3 + a**3)*(3*a - 3*a + a**2) + (-a + 19*a + 9*a)*(-8*a**4 + 138*a**3 - 138*a**3).\nAnswer: -215*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*k**2 + 0 - 2\/3*k**4 - 2\/3*k**5 + 16\/3*k**3 + 0*k.\nAnswer: -2*k**2*(k - 3)*(k + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 13*s**3 - 8*s + 4. Let v = -130 - -128. Let j(c) = -3*c**3 + 2*c - 1. Calculate v*g(h) - 9*j(h).\nAnswer: h**3 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(21 - 4 - -5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4524\/7 or 647?\nAnswer: 4524\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600398914 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s. Let d = -5 - -14. Suppose -3*p = 4*l - 13, -5*p = -2*l + 4 + d. Let r(c) = -l + 2*c + 4. What is n(r(a))?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -15) + (-1 - -11) + 1 + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -3948, -1\/5, -0.1, 1930?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/4*(-2)\/(-2). Let r be (-7 - -1)\/y + 129. Suppose 31 = -2*x + r. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.5, 0.2, -0.1, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -790*j**4 - 5*j**3 + 1079*j**2 - 10*j - 10. Let c(v) = v**4 + v**3 + 2*v + 2. Let w(y) = -5*c(y) - q(y). Find the third derivative of w(d) wrt d.\nAnswer: 18840*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244 and 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/7)\/((o\/o**(-3))\/o*o)*(o\/(o\/(((o**(-2)\/o)\/o)\/o)))**(-41) assuming o is positive.\nAnswer: o**(1405\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6705482 and 4789630.\nAnswer: 33527410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.2 (b) 175 (c) 71 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 10 - (18 - (28 + -14))) + 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 19*i + 6. Is b(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -15. Let g = 9 - i. Sort 2, 4, g.\nAnswer: g, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 0*v - 24. Suppose 2*x - 5*b + 23 = 0, -v = 4*x + 5*b - 37. Solve 4*o = -o + 4*u - x, 3*o - u = 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 2:34 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1874*y + 5375*y**2 - 2 + 1874*y.\nAnswer: 5375*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4289\/9 + 477. What is the third smallest value in -1, c, 0.024?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3096 - 2520. Calculate the greatest common divisor of 128 and x.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1520 = -45*g + 197*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 569513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*w = -96*w + 51 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 366\/18544*57*(-24)\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65482.62 centuries to decades.\nAnswer: 654826.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 595*o**3 - 314*o**3 - o - 313*o**3 + o.\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, g: 4}. What is prob of sequence ggg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.34 minus -28768024?\nAnswer: 28767968.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 55bd + -dd?\nAnswer: 54d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**5 + 11*z**2 + z**5 - 5*z**2 wrt z?\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 217 by -5.\nAnswer: -217\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24428 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g + 2. Let s(c) = c - 1. What is 3*i(v) + 8*s(v)?\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (5 + -2 + -2)) + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + b + 889. Let m = 7 + -5. Suppose m*r + 10 = -5*q, -q = 3*r + q + 4. Is p(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 129 + -78?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b. Let o(f) = 165*f**2 + 45. What is o(x(w))?\nAnswer: 165*w**2 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 v, and 1 o when three letters picked without replacement from {f: 1, j: 2, v: 1, o: 1, n: 1, l: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 30 = -2*q, 4*q = 10*f + 201 - 275 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -102 + 105. Which is the third biggest value? (a) 1 (b) l (c) 587\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7385085947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**4 + 753*q**3 + 24719*q**2 - 3664276*q - 4 wrt q?\nAnswer: -24*q**2 + 4518*q + 49438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from acryyasaryas?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85679940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3 - 4*x**2 + 3*x - 2. Suppose 11 = -q + 5. Calculate the remainder when n(3) is divided by ((-3)\/q - -1)\/((-3)\/(-36)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2))\/((-30)\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millennium in decades?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 - 82. What is the remainder when t is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f - 6 + 30 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8239055.3 to the nearest one hundred thousand.\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 337725, 675453, 1013181?\nAnswer: 1350909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(4\/7))**(-25\/4)\/(c**13\/(c*c**(2\/5))) assuming c is positive.\nAnswer: c**(-2999\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 731425 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30296, -30298, -30300, -30302, -30304, -30306?\n\"Answer: -2*a - 30294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*k = -3, 3*k = -2*o - 2 - 1. Suppose -15 + 57 = o*t. Differentiate t*i**2 + 1 + 1 + 6 - 5*i**2 with respect to i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.52? (a) -7 (b) 1\/14 (c) -1\/2 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25728889427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.554 and 0.3.\nAnswer: 0.4662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/7 - 4679*s\/7 + 101422.\nAnswer: (s - 4522)*(s - 157)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in decades?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/32248 and 67\/290?\nAnswer: 161240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 680, 3991, 11894, 26339, 49276?\n\"Answer: 325*a**3 + 346*a**2 - 2*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3984.5 - 3985. Which is the third smallest value? (a) o (b) 6\/11 (c) 1\/13 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -19. Suppose -p*y + 144 = y. Let k be (-8 - -3)*y\/(-10). Solve -3*l - k = -3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 17873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 2151.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-14)*-1*2348648. Let z = -2042324 - h. What is z rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22331454 (base 6) in base 11?\nAnswer: -425544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -16*i**5 - 5*i**2 - 2*i - 5. Let s(m) = 16*m**5 + 6*m**2 + 3*m + 6. Let r(t) = 6*o(t) + 5*s(t). Find the second derivative of r(n) wrt n.\nAnswer: -320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*p**2 - 35*p**2 - 30*p**2 - 28*p**2 - 66*p**2 - 34*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(48\/(-14) + (-4)\/7). Calculate the remainder when (-1873)\/z - (-19)\/(-152) is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, i: 4, r: 4, x: 9}. What is prob of picking 3 p?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1376536*l**4 - l**3 + 1891*l**2 + 605 wrt l?\nAnswer: 33036864*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -971*k**3 + 323*k**3 + 328*k**3 + 327*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1128*a**2 - 2101*a**2 + 986*a**2 - 9. Let u = -6 + 4. Let d(z) = -z**2 + 1. Determine u*k(w) - 18*d(w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002592 rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 783111871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 107 = -23. List the prime factors of t\/10*(-550)\/4.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42\/56*16\/78. Let d = 43\/4 + -11. Which is the second biggest value? (a) d (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20, 38, 52, 62, 68?\n\"Answer: -2*k**2 + 24*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -339*c**4*h + 5720*c**4 + 31*c*h + 2856*c - 2*h - 1 wrt c?\nAnswer: -4068*c**2*h + 68640*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 53. Let q = z + -35.029. Let n = q - -0.03. What is n rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1868101788?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1809973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -32) + (78 - (117 - 32))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-9 + (-77)\/(-6)))*9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -3, 0.13, -1.21?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, y: 15}. What is prob of picking 4 y?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50945194 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -28*r**2 + 2. Let u(y) be the second derivative of 5*y**4\/12 + 188*y + 1. Calculate c(u(g)).\nAnswer: -700*g**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 36*d**2 - 4*d - 40*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-68)\/(-4))\/((-1)\/(-75)). Suppose -4*a = 2*r - 850, m = 3*r - 2*a + 7*a. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(2*m - 2*m - 2*m)*((-25 + 25 + m)*(-m - 3*m - m) + 8*m**2 + 12*m + 0*m**2 - 15*m) to a + w*m**2 + z*m + c*m**3 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20094 divided by -1?\nAnswer: -20094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3425 < -3426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585088.\nAnswer: 2, 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 15. Let q = 170 + -171.96. Let z = 1.66 + q. Is a equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17671\/1928225 - 1\/8725. Let g be (6\/(-4) - -3)\/((-2)\/((-4)\/(-6))). Do g and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 244705.9ml?\nAnswer: 244.7059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -500, 4, -36.\nAnswer: -500, -36, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*k**3 - 1 + (-k - 1 + 1)*(k**2 - 2*k**2 + 2*k**2) + (-50*k - 5*k - 15*k)*(-k**2 + 3*k - 3*k).\nAnswer: 71*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-8) + (-122)\/(-8). Suppose 3*x - w = 0, g - 11 - 11 = -4*x. Is (-94)\/1*g\/(-4) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*m*m**(2\/5)))**(-2\/71)\/(m**(3\/11)*m\/((m*m*m**5)\/m)) assuming m is positive.\nAnswer: m**(18724\/3905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 5*p**2 + 4*p - 2. Let k be u(-6). Let o be (-9)\/(-6)*(0 - k\/(-3)). Solve 0 = o*v - 4*n - 8, 0*n = 4*v + 4*n - 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46842735 to the power of 1\/2, to the nearest integer?\nAnswer: 6844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 366, 686, 1006?\nAnswer: 1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8156 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5))**(-32)\/(c\/((c**(-2\/35)*c*c)\/c*c))**11)**27 assuming c is positive.\nAnswer: c**(161001\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2437057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 14) to base 15.\nAnswer: -d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 423181328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 112?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u\/(u\/u**(3\/16)))*u)\/(u\/(u*u\/(u*(u\/(u\/u**(-13)))\/u))) assuming u is positive.\nAnswer: u**(285\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 146\/3139 + 393613402\/(-43). Round a to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.719966 rounded to one dp?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**4\/c*c)\/c*c)\/c*c*c**(10\/7)\/c*c**(10\/3)*c**(2\/7) assuming c is positive.\nAnswer: c**(211\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 + 100.9. Which is the second smallest value? (a) u (b) 1\/3 (c) -4\/3 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 10) to base 7\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 5*p**2 - 4. Let l be v(5). Let d be (2\/4)\/(1\/l). Let s = -2.03 + -0.97. What is the third smallest value in 1, s, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28124474 divided by 34049\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 327 divided by 95\nAnswer: 327\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = -5*n. Suppose b - n = 2. Suppose 0*p + 3*p = 3, -16 = -b*h - 4*p. Calculate the least common multiple of 4 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -356, -544, -734, -926, -1120?\nAnswer: -1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(42\/(-4))*(2 - -1). Let o(d) = h*d + 3 - 14*d - 8 + 10*d. Let z(a) = -a**2 + 7*a + 16. Calculate -7*o(u) - 2*z(u).\nAnswer: 2*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 706 a factor of 14351568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 2. Let k(i) = -i. Calculate -a(q) - 2*k(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049377\/2 equal to 1024690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 5, 169842, 37, 2 in descending order.\nAnswer: 169842, 37, 5, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 313937?\nAnswer: 94181.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053746960 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((28\/18)\/2*23253\/(-1681967))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/3123527 and 13\/851871?\nAnswer: 9370581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) 5\/2 (b) 4 (c) 2 (d) 2594\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2. Let y(o) = -4*o**2 - 26 + o**2 + 26. What is l(y(c))?\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 56. Let x be 1\/(1 + 3 + -3). Put w, 3, x, 4 in increasing order.\nAnswer: w, x, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -83*v**2 - 18*v + 16. Let b be d(-14). What is b rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 1080*k**2 - 6660*k.\nAnswer: 5*k*(k - 6)*(k + 222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 429441 to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/7)\/((-4)\/14). What is the tens digit of (-9808)\/(-22) - (24\/(-11) + c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 3*b**6\/10 - 362*b**3\/3 - 9*b**2 + 2*b. What is the derivative of g(s) wrt s?\nAnswer: 108*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**6\/18 - 4*v**5\/15 - v**4\/2 + 4*v**3\/9 + 5*v**2\/6 - 159. Factor g(l).\nAnswer: l*(l - 5)*(l - 1)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/sqrt(324)*-1 + 0.\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than -323\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1573 + -1566. Which is bigger: 77 or a?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x = -29764 + 29647 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 0*i**2 - 1\/130*i**5 + 2\/39*i**4 + 0 - 4\/39*i**3 - 10*i. Solve k(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/(2*-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 45 + 85 = 0, 141 = -q - 0*q + 8*q + 4*r for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000154307 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 3*o - 19, 6*o - 5*i - 17 = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*o = -2*q + 49*o + 13, -5*o = -2*q + 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -2 + 2 + 1. Suppose m = 3*d + 4*h + 14, 3*d - 3*h - 25 = -2*d. Suppose -3*y + 20 = d*y. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3 - (-2)\/(-20)*-34). Let o = 0.4 + -0.1. Let u = -17 + 12. Sort d, u, o in decreasing order.\nAnswer: d, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 83, 125, 167, 209, 251?\n\"Answer: 42*g + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6*p - 4 = 0. Let o(d) = -11*d**3 + 0 + 41*d**3 - 1. Is o(p) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -326 - -332.8. Let y = -6.5 + r. Let s be 2\/12*(-3)\/6. Which is the third smallest value? (a) s (b) 1 (c) -4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4\/5 + 339*y**3 - 149112*y**2\/5.\nAnswer: -3*y**2*(y - 456)*(y - 109)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-22) - (-5 + 171\/33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/4)*m)\/m)**(23\/2) assuming m is positive.\nAnswer: m**(69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*v**3 - 122*v**3 - 21*v**3)*(-2*v + 2*v + 2*v)*(-v + 3 - 3).\nAnswer: 398*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 13. What is q(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -160 or -6.9339?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294054814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15279*q**3*u - 7*q**2*u + 81*q*u - 28*u wrt q.\nAnswer: -91674*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 2*l - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/6695 and -20\/7.\nAnswer: 46865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 107.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2) - (3 - 3)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276058037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12464.106 months in decades?\nAnswer: 103.86755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 - 6*i**2 - 9*i**2)*(-1 - 2 + 5)*(-4*i + 3*i - i)*(12 - 4 + 7)*(0*i + 3*i - i) to the form j*i**4 + h*i**2 + p*i**3 + k + c*i and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c + 2*u - 155 = 0, 2*c - 2*u - 90 = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98*-0.02\nAnswer: -1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14977556 and 167024?\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhlzzzahzzlzazhhzy. Give prob of sequence hh.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, a: 5}. Give prob of picking 2 r.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) -2\/3 (c) -2937\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -13*l**3 + 6*l**2 - l - 9. Let k(r) be the third derivative of -r**6\/120 + r**5\/60 - r**3\/6 - 9*r**2 - 77*r. Determine 6*k(y) - s(y).\nAnswer: 7*y**3 + y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65 + 115?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18476*b**3*p**3 - 13379*b**3 + b*p**2 wrt p?\nAnswer: -110856*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029672 to four dps.\nAnswer: 0.0297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 794300105 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = r, -2*r - r = 2*f - 2. Let c be 1\/(f*3\/(-12)). Solve -4*b - c*j - 10 = 0, 0 = -2*b - 2*j + 5*j - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -15*x**2 + 1601*x - 1193. Determine n(106).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-210)\/8) + (-12914)\/17610.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 31*k**3 + 3*k + 2. Calculate i(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(832)*2 + sqrt(832))*-4 - sqrt(832)) + -6*(sqrt(832) + sqrt(832) + 4))**2.\nAnswer: 8400*sqrt(13) + 520441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265, -286, -329, -400, -505, -650?\nAnswer: -841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -51, -98, -169, -270, -407, -586, -813?\nAnswer: -1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*g, -26*t - g = -22*t + 5. Let w be (11\/t)\/(-11)*20\/2. Solve y = w*y + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1427*p**3 - 14 - 82 - 1513*p**3 with respect to p.\nAnswer: -258*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, x: 10, i: 1, g: 2}. What is prob of sequence gxi?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 107 + 78 - 88 + 77. Does 22 divide v(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 43 + 3 + -9 - (-59 + 68)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 3:41 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 18, 47, 88?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -726555*j*v - 2462*j - 16 wrt v?\nAnswer: -726555*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + ((10 - 0) + 9 - 10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 896585821*t - 879034100 wrt t?\nAnswer: 896585821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -341, 5\/6, 2\/7, 35, -20, 1\/6, 2?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 24*h - 2 - 18*h + 15*h to the form y + i*h and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 14*p**2 + 4. Let l be o(14). Find the third derivative of 13*g**l - 21*g**4 + 10*g**2 + 3*g**4 wrt g.\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3*(-192 + 11 + -8). Solve 6*j + 93 - t = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**5\/20 - d**4\/6 - 2*d**3\/3 + 4*d**2. Let p(y) = y**2 - y - 1. Let k(j) = b(j) - 4*p(j). Let h(w) = 7*w. Calculate h(k(x)).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5*(sqrt(88) + -2*sqrt(88)) + sqrt(88) + sqrt(88) - sqrt(88)*2*-5))\/((sqrt(864) - sqrt(864)*-2)\/((sqrt(6) + sqrt(6)*1)\/sqrt(2))).\nAnswer: -7*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.9 times -47?\nAnswer: 512.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - u - 12 = 0, 2*f + 2*u = -u + 8. Suppose 4*z = 4*a - 44 + 180, 0 = -f*z - 2*a + 148. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2506690.8 hours in days?\nAnswer: 104445.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 j when three letters picked without replacement from {j: 12, y: 6}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5034 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 4*o**2 + 13*o + 52. Let g be x(-3). Suppose 1 = 2*u - 7. Solve g*n = -0 + u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 12375*t - 2039. Is y(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(9\/2))\/(n**(10\/3)*n)*(n\/n**8)\/n**(2\/7))**(-1\/2) assuming n is positive.\nAnswer: n**(257\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**20*v*v**9\/v*(v**(-1\/23))**9 assuming v is positive.\nAnswer: v**(704\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, f: 2, r: 1, b: 1, g: 1}. Give prob of sequence gb.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 108, 3, 2.\nAnswer: -20, 2, 3, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 737329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 869 and 395.\nAnswer: 4345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/5 and 53\/10719.\nAnswer: 53595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1101720 and -107\/5949288.\nAnswer: 29746440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4))**(-1\/39))**(7\/3) assuming q is positive.\nAnswer: q**(-7\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 - 4*a. Let o(k) = -2*k**2 - k**2 + 4*k + 3*k. Let f(c) = 7*m(c) + 4*o(c). Let t(g) = 47*g + 54*g + 46*g - 136*g. Calculate t(f(x)).\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.085 - 0.095. Let n = 15 - 11. Suppose n*l - 3*z - z = 8, 3*l = -2*z - 4. Is a >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6)*2*-3. Let z = t + -7. Let v(d) be the second derivative of d**3\/6 + 11*d**2\/2 + 3*d. Calculate v(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/13 or 167377834?\nAnswer: 167377834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2 = -3*g, -3*g = -4*g + z - 3. Is -1 - g\/(-4)*(-91 - -5) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (3*sqrt(320) - (sqrt(180)\/sqrt(3))\/sqrt(12)) - -6*(-4 + sqrt(5)*1)*-1) + 5)**2.\nAnswer: 952*sqrt(5) + 2229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1764 (base 8) to base 15\nAnswer: -477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 9 = x, 3*h = -2*h - x + 19. Suppose 3*f - 12 = 0, a + h*f - 36 = 3*f. Which is bigger: a or 28?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from {d: 1, f: 2, j: 1, v: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m - 40. Calculate v(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one eighths of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**16*o*o*o\/(o*o\/o**(-27))*o**(3\/29)\/o*o\/o**(-14\/11) assuming o is positive.\nAnswer: o**(-2751\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*r + 52, y - 3*r = -0*y + 13. Suppose 4*t = -2*n + 92, -2*t = 126*n - 122*n - 58. Solve -y = -4*s - t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**46)**(-16\/5) assuming m is positive.\nAnswer: m**(-736\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -218*h**2 - 4*h - 9. What is x(-1)?\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 499230*j - 3994160.\nAnswer: 5*(j - 8)*(j + 99854)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 13*v**2 - 7*v - 5. List the prime factors of g(-3).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g**2 + 2*g**2 - 2*g**2)*(2*g**2 - g**2 - 2*g**2).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = 14*a + 13*a - 209. What is the remainder when 332 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, r: 4, v: 2, n: 2, m: 4}. What is prob of picking 1 q, 1 n, and 1 v?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45633 + -22378. Let z = h + -1674463\/72. Calculate the common denominator of z and -55\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*t**2*v**3 + t**2*v**2 + t*v**3 - 13*t*v**2 - 2*v**3 wrt t.\nAnswer: 82*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*r + 22. Let z = 26 - r. Suppose -5*s = -10, 3*k + z*s - 74 = k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 6)*(6 + -6). Let x(o) be the first derivative of 0*o**2 + y*o**3 + 3\/4*o**4 + 2*o - 4. Differentiate x(i) with respect to i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01 from -2.\nAnswer: -2.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*i + 53 = 2*i, 2*i = 2. What is the smallest common multiple of ((-4)\/(-7))\/(6\/21) and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/((-27)\/(-135)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*h - 44 - 88 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34562 - -1177?\nAnswer: 35761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -14702 equal to -14706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382 + 226 = -3*l. Suppose 5*y - 2*u - 89 = 37, -3*u + 6 = 0. What is the highest common factor of l and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f**2. Let z(h) = -707*h - 1. What is w(z(t))?\nAnswer: -1999396*t**2 - 5656*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -112884 divided by -1227\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 29. Suppose v + 3*q = -2*v, -3*v + 5*q = -16. Let w be -5*(260\/(-25))\/v. Calculate the greatest common divisor of f and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 159, 317, 475, 633?\n\"Answer: 158*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384*k - 850*k = -24576 - 85813 - 16713 for k.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 526485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/89635 and -3\/15775760.\nAnswer: 15775760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -34322 (base 6) to base 10\nAnswer: -4874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v. Let b be (-1 - (-30)\/(-9)) + (10 - (-6 + 11)). Let c(y) be the first derivative of 14 + b*y**3 + 0*y + 0*y**2. Calculate c(d(f)).\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(2)*-2 + sqrt(2)))\/sqrt(8)*-6 - (1 + (sqrt(60)\/(sqrt(12)\/sqrt(4)))\/sqrt(4)).\nAnswer: -1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 h when four letters picked without replacement from {h: 4, a: 6}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.00755792 - 0.083057208.\nAnswer: -0.075499288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -506 - -526. Solve -12 = m*w - 14*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8500995?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 7*f - 1. Let g be j(-6). Let p(m) = m - 1. Suppose 0 = -4*k + 2*k - 2. Let l(t) = 1. Let q(u) = k*p(u) + 3*l(u). Give q(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10399641, 10399636, 10399631, 10399626, 10399621?\nAnswer: 10399616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 46716038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 8. Let x = -106116980 - -106116984.00000008. Let p = i + x. What is p rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 398 * -118\nAnswer: -46964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 4*x. Let q be -1 - ((-13441)\/8 + x). Let i = -1676 + q. Find the common denominator of i and -25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 + 0*i**3 + 3*i**3 + 4*i**3 + 3*i**3 - 5*i**3 + (-65*i**3 + 3*i**2 - 7*i**2 + 6*i**2)*(-2 - 1 + 1) - 3 + 3 + 3*i**3.\nAnswer: 137*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*0\/5. Suppose -t + 17 = -h*t + 3*a, -2*t = -4*a + 16. Suppose t*x - 48 = -2*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1815 and 2475?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23269924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.1 and -5.4252.\nAnswer: -3.3252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 17 + 61. Suppose -5*f - z - 41 = 0, 0*f + 2*f + b = 2*z. Let m = 37 + f. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2276.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(3)*-3 + 5)**2.\nAnswer: -60*sqrt(3) + 127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 4*j = -32, -2*w = -4*j + 10 + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100 - 177. Let m = 112 + h. Calculate the remainder when 103 is divided by m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2955820805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -324314424231 + -4?\nAnswer: -324314424235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w + 222. Let t be f(-39). What is the common denominator of 85\/t*134\/20 and 2\/4*74\/(-7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1520 and 320?\nAnswer: 6080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 5 + 1. Let f be k + 1 + 9205\/(-3800). Let b = f - -9\/190. What is the common denominator of -107\/14 and b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 40*i + 301. What is the units digit of u(59)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30573 - -45152. Calculate the highest common divisor of 478 and q.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*d - 34 + 140 = 0, -2*v - 4*d + 142 = 0. Suppose -7*x + 2*x + 35 = 0. Calculate the highest common factor of v and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1505890 and 6.\nAnswer: 4517670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.10682 - -0.00682. Let n = 2.46 + -0.46. What is the smallest value in 3, c, n, 10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 133b - 0?\nAnswer: 133b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2\/23 (c) 0.19 (d) 24343\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/11)*d)\/d**(-2))\/(d*d\/d**1*d*d)**(-1\/6)*((d\/d**0)**(2\/11))**(-28) assuming d is positive.\nAnswer: d**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one quarters of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 - -128. Let t be (-9)\/p + 306\/24. Solve 3*x + 6*v = v - t, 0 = 2*x - 3*v - 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5811 + -2724531939\nAnswer: -2724531939.5811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2113, 4279, 6447, 8617, 10789, 12963, 15139?\n\"Answer: y**2 + 2163*y - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 283 + -244. What is the remainder when 74 is divided by u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*i - 688, -5*i - 6*w = -4*w - 860. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -1, 1, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.170720365 rounded to five decimal places?\nAnswer: -0.17072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**3 + 4*f**2 + 2. Let n(j) = 1. Let z = 6219 + -6220. Calculate z*d(h) + 2*n(h).\nAnswer: 3*h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 4*p + 6 + 12, 2*r = 4*p + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 + -59 - (43 - 0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) 0 (c) -2 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*o - 34, -2*p = -0*p - 8. Let b = o - 0. Calculate the least common multiple of 1 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 5 = 2*k. Let s = 704\/9 + -78. Is s smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 4*r + 24, 2*p - 3*p + 15 = -4*r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = -16, 15 = s - 3*b. Let p = -8 - -10. Let n(c) = -3 + s + 3 - p*c**2. Let u(h) = -24*h**2. Determine n(u(o)).\nAnswer: -1152*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2191 + -158\nAnswer: -2349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26755034 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11267217, 22534430, 33801643, 45068856, 56336069, 67603282?\nAnswer: 78870495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36363955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**3 + 35*d**2 + 53*d - 556. Determine x(16).\nAnswer: -3036","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2139119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -0.1, -1\/8, 8\/37?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**4\/4 - 7*o**3\/3 + 3*o**2 - 2*o + 1. Determine v(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172807700 divided by 43201925.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffw. Give prob of sequence ff.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(70) - -2*sqrt(70)))\/sqrt(10).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 289, 578, 867, 1156, 1445, 1734?\n\"Answer: 289*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 52, 53, 54?\n\"Answer: z + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(5*d**3 - 4*d**4 - 5*d**3) - 3*d**4 - 17*d**4 + 2*d**4.\nAnswer: -22*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from {a: 1, k: 1, i: 1, b: 1, z: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 280608623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1778 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -23.39\nAnswer: -233.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99666113.\nAnswer: 107, 113, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -222 (base 10) to base 13\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 407\/6, -80, -0.4, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + 28. Let o = a + -41. What is the remainder when o is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2052 - -2212. Which is greater: q or 157?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 10*s - 12. Let l(j) = -8*j - 2. Let b be l(-1). Let d be n(b). Is (1 - d)\/((-9)\/(-2007)) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/66)\/((132\/(-32))\/11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(-2*sqrt(700)) + 0 + sqrt(243) + sqrt(21)\/sqrt(112).\nAnswer: 46*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 23.9, -1\/8, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-84)\/(-70))\/(3\/200). Which is smaller: 79 or g?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 3 - 5)*(0*m**4 - m**4 + 3*m**4 + 4*m**4 + m**4 - 6*m**4 + (2 - 1 - 2)*(4*m**4 + 3*m**4 - 5*m**4) - 2*m + 2*m - 2*m**4).\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 - 2*p + 14 - 20 + 8 + 0*p as r*p + m*p**2 + t*p**3 + u and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-198)\/14*(-170)\/(-20400) and 211\/210?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240054 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 234*x**2 - 97*x**2.\nAnswer: 136*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**2\/3 - 346*k\/3 - 700\/3 = 0.\nAnswer: -2, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17779.527ns in days?\nAnswer: 0.0000000002057815625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*j**4\/3 + 208*j**3 + 769*j**2\/3 - 1222*j + 2209\/3 = 0 for j.\nAnswer: -47\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 + 1 - p**2 + 2 - 25*p**3 + 16*p wrt p?\nAnswer: -150*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49964765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000090123 to six decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.94 + -0.06. Let c = -41 - -146. Let s = 732\/7 - c. Sort n, 0.4, s in ascending order.\nAnswer: n, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1242 + 0.13. Round a to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**5 - 4175*a**4 - 37880*a**3 - 84400*a**2 = 0?\nAnswer: -5, -4, 0, 844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 435 and 1450.\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 2\/41 (b) 0 (c) -62\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 1 + -11 + 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -71.1.\nAnswer: 142.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*t - 3*t - 5*b, -b - 2 = 0. What is the hundreds digit of 6\/(-15)*(-615)\/t*15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -141*p + 529. Let g be m(4). Suppose 0 = -5*f + 290 - 115. Let w = f + g. Solve w = -6*h + 2*h - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.013 - 0.013. Let k be 4\/32*(1 - -1). What is the smallest value in -3\/2, j, k?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 8:05 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6263, 12530, 18807, 25094, 31391, 37698?\nAnswer: 44015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - m**2 + m + 1. Let v(k) = 28*k**3 + 6*k**2 - 5*k - 5. Calculate -5*o(f) - v(f).\nAnswer: -23*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*z + 30, -7 = -4*z + 3*j - 23. Let n(a) = a**2 + 6*a + 2. What is the units digit of n(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 303\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 1 - 7 + 6*t - 3 - 5*t. Let d be n(7). Let f be ((-2)\/d + -1)\/(-2). Let x(h) = h - 1. Calculate x(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 0*c + 0*c - 3*c. Let j(p) = 7*p**2 - 6*p - 6. Let v(m) = m**2 - m - 1. Let o = -1 + 0. Let t(k) = o*j(k) + 6*v(k). What is y(t(b))?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-36) + (-694)\/(-9). Suppose 3*r = 4*i + x, -2*i - r = 15 + 16. Let t = 25 + i. Solve t = 2*g - 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.48486 - 30.2\nAnswer: -53.68486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(8)\/sqrt(4) + 0 - ((sqrt(18)*1)\/sqrt(9) - sqrt(2) - sqrt(2))).\nAnswer: -3 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 2:36 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75238.4*-0.06.\nAnswer: 4514.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -71212000 to the nearest one million.\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003321725 rounded to six dps?\nAnswer: 0.003322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 201*g**2 + 3*g - 2. Is p(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*c**2*n**3 - 269807*c**2 + 1869*c*n**3 - 48*c*n**2 + 2*n wrt c?\nAnswer: -20*n**3 - 539614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2. Let l(b) = -9576985*b**2 + b - 1. Calculate l(z(m)).\nAnswer: -86192865*m**4 - 3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/((-1)\/(-2)). Let i = 17.2929 + -18.2929. Which is the closest to m? (a) -0.1 (b) 12 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.2, 34432.3, -1.8 in decreasing order.\nAnswer: 34432.3, 0.2, -0.2, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a00b30 (base 12) to base 4.\nAnswer: -21133321110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 4:51 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4*i - 3*i - 34, 5*w = -4*i + 66. Let x = w - -2. What is the least common multiple of 14 and x?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 5*g**2 + g. Let i(c) = -c**3 - 6*c**2 - c + 1. Let t(y) = -5*i(y) - 6*j(y). Let z(h) be the first derivative of t(h). Determine z(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 31, 1, 335, 7, -0.5, 3\/2?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(8\/3))\/l**(-7)*(l*l*l**(-2))**(6\/19) assuming l is positive.\nAnswer: l**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8 + r + 14 + 0*r. Let f(x) = 1. Suppose -13*k = -139 + 74. Calculate k*u(w) - 30*f(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1134)\/15 + 6\/(-15). Let f = p - -86. Solve -4*s = -2 - f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12307498 divided by -2?\nAnswer: 6153749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/858)\/((-1)\/6*-4)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/4 (b) -2\/9 (c) 2 (d) -20\/119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*h**2 + 9*h + 305*h**2 - 152*h**2 + 1851.\nAnswer: 3*h**2 + 9*h + 1851","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -5*n + 6*o + 3, -6 = 4*n + 2*o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/2)\/(12\/(-8)). What is the tens digit of l\/6 + (-88)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83\/38 - 17105\/7866. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 42 = -34. Let v(q) = -q + 7. Let s be v(g). Let a(m) = 2*m**3 + 2*m**2 + 6*m - 5. Is a(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*t = -5*c + 140, 68 = 3*c + 5*t. What is the remainder when c is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hihhiiipi. Give prob of sequence iph.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 10. Let q be t(-8). Suppose q*s = -0*s + 8. Suppose 6 = -3*j + 5*j - 2*c, -5*j = -s*c - 15. Solve -1 - 2 = -j*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + (-12)\/(-16)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -261213680 divided by -54160.\nAnswer: 4823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 7d36ac?\nAnswer: -7d36b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: 36 (base 12) to base 10\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20\/8*12\/(-18)*3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - a**2 + 29*a + 11*a - a**3 + a in the form y*a**3 + h*a + z + w*a**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 52 = 2*n - 0*n, -n - r + 30 = 0. Suppose -z + 2*y + 31 = 0, 2*z - z - y = n. Is 25 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.34, 0, -1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-374)\/66)\/((2\/(-1))\/6).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 33*y**2 + 208*y - 208. Give u(25).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(21) + sqrt(210)\/sqrt(90))\/(sqrt(6)\/sqrt(18)))**2.\nAnswer: 16*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116805776?\nAnswer: 2, 17, 23, 18671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -59\/6 (b) 225 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 643\/72 (b) 59 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5824 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2207 - -0.00193544259.\nAnswer: -2206.99806455741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185378 is divided by 39?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2841 + 2429 = 10*m. List the prime factors of m.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/5)\/u)\/u**23)\/(u**25*u*u*u*u*u**(-12)) assuming u is positive.\nAnswer: u**(-203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*c**3*x**3 + 19*c**3*x - 4*c**2*x**3 + 6*c*x**3 - 4171*c*x**2 + 46*x**3 wrt x?\nAnswer: 42*c**3 - 24*c**2 + 36*c + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 563401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00186225621 rounded to seven dps?\nAnswer: -0.0018623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22279\/12518 + 4\/569. Let n = 139\/66 + d. Let s = 3 - -2. Which is the closest to 2? (a) -0.1 (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*h**2*v**4 - 217*h**2*v - 14*h*v**4 wrt v.\nAnswer: 48*h**2*v**2 - 168*h*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2110103 + -1310?\nAnswer: 2102133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 623968 divided by 251?\nAnswer: 623968\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 9:50 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4 = -2*u - 2, -4*t - 8 = -4*u. Suppose 6*j - 4*j - 920 = u. Let y = j + -275. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12348 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16177*x - 10 + 10 + 16149*x.\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4972, 4, 0.3, -0.2, 4\/9, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -3\/2, 20\/781, -0.4, -3 in ascending order.\nAnswer: -3, -3\/2, -0.4, 20\/781, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 53.\nAnswer: 29\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 + 27*q**2 - 2317*q - 31966. Calculate v(-14).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*h**2 - 3*h - 81.\nAnswer: -30*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/9*3\/14. Sort 1, o, 0.1 in ascending order.\nAnswer: 0.1, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 16*o - 21. Suppose 0 = 3*d - 3*w + 42, -w - 52 = 2*d - 24. Determine f(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g**2 - 6*g + 6. Suppose -4*w = -y - 2 - 6, -7 = -w - y. Let t(v) = 0*v - w*v + 1 - 5*v + 7*v. Calculate -d(k) + 6*t(k).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 2)*(-12)\/(-8). Let s = -120 + 168. Suppose -2*y + s = 2*y. Solve -y = c*p - 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (0 + 5 + 23)) + 3\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 119 and 161?\nAnswer: 2737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2 - -2)*-3. Let x be (-3 - d) + 6\/(-4). Which is the closest to 0.2? (a) -3\/7 (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 - 60 = 16*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 9 - 3. What is the second derivative of c*z**2 - 6*z + z + z wrt z?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 10:48 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1890 divided by -168074.\nAnswer: 945\/84037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -219, -87, 5, -3 in descending order.\nAnswer: 5, -3, -6, -87, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + q**2 - q - 1. Suppose 3*k = k + 6. Let x(b) = -4*b**3 - b**2 + 3*b + 3. Let j(t) = k*c(t) + x(t). Find the third derivative of j(u) wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -24*q**3 + 61*q**2 + 149*q + 59. Let d(i) = -60*i**3 + 152*i**2 + 372*i + 148. Let b(p) = 5*d(p) - 12*r(p). Factor b(k).\nAnswer: -4*(k - 4)*(k + 1)*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629905 is divided by 623.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13268 (base 9) to base 2\nAnswer: -10001100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cusw when four letters picked without replacement from {f: 1, u: 1, s: 3, a: 3, c: 4, w: 5}.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14038677 divided by -4679559\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700)*1 + -1*(2 + sqrt(17) + sqrt(17))**2 + sqrt(17).\nAnswer: -72 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4080, 8165, 12258, 16359?\n\"Answer: 4*r**2 + 4073*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 12*n**2 - n + 4. Let w be x(-4). Calculate the greatest common factor of w and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/(-126))\/((3\/(12\/(-10)))\/(-84))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3\/15 + 62*b**2\/15 + 374*b\/15 - 578\/5 = 0. Calculate b.\nAnswer: -17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((2 - 1) + -1)\/1. Suppose q + 3*k - 17 = -q, s = -5*q + 4*k + 8. Suppose -q*f = f - 20. Solve 3*h + 5 = -f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/1*((-12)\/3)\/48?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2 - 3*x - 11. What is w(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -6 (c) -5\/2 (d) -2\/11 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 m when three letters picked without replacement from {c: 3, m: 3, x: 2, f: 6, h: 6}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 71 = 2*b, 3*k - 74 = 2*b - 19. Suppose 17*x = k*x + 136. Let h = x + 52. What is the least common multiple of h and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.22, -100, -6, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 44350?\nAnswer: 44345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c**2 + 4*c. Let h(o) = o**2 + 3*o. Let t(g) = 2*g**2 + 7*g. Let l(u) = 9*h(u) - 4*t(u). Give 5*l(y) + r(y).\nAnswer: -2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 8*g + 7*g + 3*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3209 + -2?\nAnswer: 3207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2 = -3*j - 4, 2*j + 12 = 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, o: 4, r: 1, v: 4}. Give prob of picking 2 o and 1 v.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21, 58, 119, 204, 313, 446, 603?\n\"Answer: 12*d**2 + d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 569892521 to the power of 1\/2, to the nearest integer?\nAnswer: 23872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 124 + -123 - (1 + -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 196, 415, 718, 1105, 1576, 2131?\nAnswer: 2770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43227 to the power of 1\/2, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/9)*p*p*(p\/p**(-4\/5)*p)\/p*p)\/((p**(-9)\/p*p)\/p*p**(1\/3)) assuming p is positive.\nAnswer: p**(661\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 + 2*w - 206*w**2 + 153*w**2 + 79*w**2 - 2*w**4 - 1 to the form r + o*w + z*w**3 + d*w**4 + q*w**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -309 in -2\/7, -49, 3?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 19*z**2 + z - 4. Suppose -4*t + m - 2 = 9, 3*m - 9 = 4*t. Let b be d(t). What is b rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 278670429*c**4 - 12124*c**2 - c + 299.\nAnswer: 6688090296*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*n**5*t**3 - 135235*n**3*t**3 + 2*n**2*t - 1239*n*t**3 + 1663 wrt n?\nAnswer: 2700*n**2*t**3 - 811410*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165 and 1035.\nAnswer: 11385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6)*-2)\/(-75 + (20586\/2555 - -67))?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4261670 to the nearest one thousand.\nAnswer: 4262000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 2*k**2 + k**2)*(0*k**2 - 2*k**2 + 0*k**2)*(719 - 719 + 127*k).\nAnswer: 254*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*b - 1714 = -4217 - 137 for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -2. Let f be (-13)\/(-6) - a - (-12094)\/12. Let t = f + -187. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxgfgwufgwwugufx. What is prob of sequence wg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 4:52 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 247770 rounded to the nearest 1000?\nAnswer: 248000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -245*g + 992. Let b be p(4). Calculate the greatest common factor of 582 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -20*z**3 + 377*z**2 + 775*z + 404. Let u(w) = -6*w**3 + 126*w**2 + 258*w + 134. Let j(g) = -8*a(g) + 26*u(g). Factor j(c).\nAnswer: 4*(c + 1)**2*(c + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3372383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by (26 + (-12)\/4)*1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s = -4*n + 28*s + 29606, 29597 = 4*n + s. List the prime factors of n.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12406 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*j - 5*i, 19 + 6 = 5*i. What are the prime factors of ((-1125)\/10 - (-3)\/j)*-1?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -242 less than -237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 780 and 37140?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7056149 to 3 decimal places.\nAnswer: 0.706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/7 of a week?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 3:41 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24289613.59 rounded to the nearest 10000?\nAnswer: -24290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23290314*c**4 - 14846*c**2 - 32*c + 3 wrt c.\nAnswer: 558967536*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/(-130) - ((-30)\/(-390))\/(2\/(-464434)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 15*f**2 + 6210*f - 31443. Determine p(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21377399\/37518 - -21079\/37. Calculate the common denominator of -61\/3042 and q.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2936615229 to the nearest integer?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + 1 + (7 - 12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - -0.1. Let i = 34 - 34.34. Let q = -0.74 - i. What is the biggest value in w, -0.5, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**5\/30 + 15*x**2 + 5*x. Suppose 2*l = 5*l + i - 4, 4*i + 14 = 3*l. Let y(j) = j - j - 3*j**l. What is y(b(d))?\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m - 5*o = -8, 24 = -24*m + 21*m - 5*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*n**3 + 114*n**3 - 26*n**3 - 25*n**3 - 33*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from {z: 3, k: 6, g: 3, x: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68\/5 - -66\/5. Let h = 61 + -56. Which is the biggest value? (a) 4 (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5 = 1. Let i be -1 + 2 + f + 5. Let j = 8 - i. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + 2 + 6 + -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112 - -111.7. Let r = 10.7 - h. Let n = 11.0031 - r. What is n rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 187096 and 240552?\nAnswer: 1683864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 17*m + v = 89, 46 = 2*m + 2*v. What is the second derivative of -m*f**3 - 85*f - 25*f**3 - 2*f**3 wrt f?\nAnswer: -294*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1001502 = -t + 4278498. Suppose -t = -37*w + 40*w. What is w rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*a + 13521, a - 5422 = -2*t - 4*a. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2. Suppose 0 = -19*y + 60*y. Let q(t) be the first derivative of y*t - 3 + 0*t**2 + 5\/3*t**3. Calculate j(q(n)).\nAnswer: 25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -11, 2\/15, -0.045, 5, 0.4, -41\/10?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-3\/7)\/(w\/(w\/(w**(-1)*w*w))))\/(w**8\/w*w\/(w*w**2\/w*w)))**3)**(-5\/4) assuming w is positive.\nAnswer: w**(675\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -12) + (3 - 11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -17*w - 55. What is the smallest common multiple of v(-4) and 35?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 + 10)*((-2)\/3 + 1). Let c(s) = -s**3 + 2*s + 541. Is c(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4, 3*n + t = -t - 29. Which is smaller: n or 8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2664*n - 9559*n - 1195*n as d + v*n and give v.\nAnswer: -8090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*w + 10, 3*c - 4*c = -4*w - 22. Calculate the highest common divisor of c and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -453, 266, 1461, 3132, 5279, 7902, 11001?\n\"Answer: 238*j**2 + 5*j - 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -145251 + 100941. Let m = -2924551\/66 - n. What is the common denominator of 83\/30 and m?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3249 - -3251. Let h(l) be the first derivative of -12 - 9\/2*l**p - 8*l. Find the first derivative of h(t) wrt t.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4491 and 446112?\nAnswer: 222609888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c*p*y**2 + 7*c*y**3 + 2*c*y**2 - 3*p*y**3 - 210*p*y wrt c?\nAnswer: 2*p*y**2 + 7*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8008)\/(-11440))\/(7*(-9)\/(-15))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u - 19*u = 118*u. Factor 0 - 1\/6*b**5 + 1\/6*b**3 - 1\/6*b**4 + 1\/6*b**2 + u*b.\nAnswer: -b**2*(b - 1)*(b + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x + 30. Let y be f(12). What is the smallest common multiple of (y - -6)\/(2 + -3) + 100 and 20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5075.137kg?\nAnswer: 5075137000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 11:10 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**4 - 22*q - 9*q**2 - 64 + 4*q**2 + 3*q**2 + q**3 + 20*q as z*q**3 + w + g*q**2 + u*q**4 + o*q and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 43*d**2 + 6*d - 4*d - 41*d**2 - 81. What are the prime factors of a(-15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 271188304*t**3 + 282191910.\nAnswer: 813564912*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1395895, 1395985, 1396245, 1396759, 1397611, 1398885, 1400665?\nAnswer: 1403035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) - (sqrt(80) + sqrt(80)*4)) + 1 - sqrt(80)) + sqrt(80) + 6*(sqrt(80) + 0) + -6*(4 + sqrt(80)) + -2*sqrt(80)*-6)**2.\nAnswer: -1472*sqrt(5) + 5649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 156\/8*(-3388)\/(-1552551)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-2\/25)\/b)\/b)\/b)\/(b\/(b\/(b**(3\/2)\/b)*b)))\/((b**8\/b)\/b**11) assuming b is positive.\nAnswer: b**(71\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from {c: 2, r: 8, x: 3, s: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38534? (a) 3\/4 (b) -1\/10 (c) 0.06 (d) 5\/2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 7. Let j be (1 + 5)\/(1 - 3). What is the second biggest value in j, 2\/3, n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (336119*14\/196)\/((-5)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4986 - -0.1986. What is the closest to 1 in o, 52, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*l**3*o + 124*l**3 + o wrt o.\nAnswer: -9*l**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 821.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26 + 26 - 7*i**2 + (5*i - i - 2*i)*(i - 1 + 1).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 888.\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 173058584.204 and -0.3.\nAnswer: 173058583.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 26429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12379\/12 - 1020. Let y be ((-33627)\/9)\/((-16)\/(-6)). Let x = y + 1406. Find the common denominator of x and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a + 7. Let v(f) = -4*f**3 + f - 12. Let y(b) = -b**3 - 1. Let u(d) = -v(d) + 3*y(d). Let l be u(0). Let n = l + -4. Calculate m(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/7, 378, -32142?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 252119 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of -52*(10\/(-25) - (-146)\/40)*-257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2534\/156 - 23\/299 and 85\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 8*v - 1560 = 0. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5 of a litre in millilitres?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i + 6. Let t(z) = -6*z - 5. Let h(j) = 6*t(j) + 5*y(j). Let x(w) = -20*w - 6. Let u(q) = 18*q + 5. Let o(m) = 6*u(m) + 5*x(m). Give o(h(k)).\nAnswer: -48*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 8 - 21 - 4*v.\nAnswer: v - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124300 greater than or equal to 25858914\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011101001110110001 (base 2) in base 12?\nAnswer: -164ba9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.26 - -0.06. Which is the second smallest value? (a) 2\/21 (b) 2\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (3 - 4 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(147) + sqrt(147)*4 + sqrt(147))**2 + -4 + sqrt(147) + (2*sqrt(147))**2.\nAnswer: -10000 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 714, 2849, 6408, 11391, 17798, 25629?\nAnswer: 34884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, 35, 170, 433, 866, 1511, 2410, 3605?\n\"Answer: 7*z**3 + z**2 - 3*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*q = -794 + 66 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, t: 1, j: 4, n: 2}. Give prob of picking 2 m and 1 n.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123 - 121. Suppose 4*l = -t + 177, -j*t + 5*l = l - 402. What are the prime factors of t?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 1 - -1)*3. Suppose -w = 3*w. Suppose 4*c - 20 = -w. Solve -x - x + 3*m = 5, -c*x - p*m + 19 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2, 33, 0.5 in decreasing order.\nAnswer: 33, 2, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: a3a0 (base 13) to base 9\nAnswer: 34008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64.77 - 62.07. What is the second biggest value in 2\/3, r, -7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/10)\/i**(-2\/29)*i**(-1\/7)\/(i*i**(2\/25)) assuming i is positive.\nAnswer: i**(-8667\/10150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**3\/6 - 8*s**2 + 22*s - 5. What is l(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/13 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13851 + 13845. Let l(m) = 2*m - 1. Let v(t) = -t + 2. Give n*v(u) - 5*l(u).\nAnswer: -4*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 14*s**2 + 703*s + 9851. Give c(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43070 and 4.\nAnswer: 86140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + q - 10, 22 - 3 = -f + 4*q. Let z be (-70)\/(-28)*(-2 + 42\/15). Solve 0 = -k - f + z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.81 + 0.11. Let f = z - -1. What is the nearest to 2\/7 in 1, -0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 17004*w - 1. Let n(c) = 17005*c - 2. Let b(o) = 3*n(o) - 4*t(o). Let s be 1*(1 + (-1 - 2)). Let j be b(s). What is j rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 369.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0*k**3 - 5*k**3 + 0 + 3*k**3 + (k + 0*k + k)*(0*k**2 - 3*k**2 + 2*k**2) - 3*k + 3*k - k**3.\nAnswer: -5*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229 + -195 - (1 + 3 - 4).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -249 + -92?\nAnswer: -2db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29567\/10 + -2957. Which is the third smallest value? (a) -3 (b) -9\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -10*t**2 - t. Let n be g(-1). Let c = 27 + n. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7247 * 0.5\nAnswer: -3623.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 4, 6 in decreasing order.\nAnswer: 6, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(288) - (3*(2 + sqrt(288) - sqrt(288))**2 + sqrt(288))) + (-1 + 1 + sqrt(288))**2.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -70. Let h = 0.2 - 0.4. Let q = -127 + 385\/3. Which is the third smallest value? (a) m (b) q (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**(11\/6)*j)\/j))\/j*j\/(j*j\/(j\/j**(2\/13))*j) assuming j is positive.\nAnswer: j**(-233\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1704741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3479 - -3491. Suppose 9 = 3*v - s - 147, -2*s + 218 = 4*v. Calculate the remainder when v is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*v**4\/5 + 618*v**3\/5 - 222*v**2\/5 - 618*v\/5 + 36 = 0. What is v?\nAnswer: -15, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3229*v - 1164*v + 3879*v to u*v + c and give u.\nAnswer: 5944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57.1151*0.5.\nAnswer: -28.55755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 305801?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = -17*v - 11. Let k = -180 - -179.83. Is v > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 2*j = 125. Suppose 12*m - j*i = 17*m - 1215005, m = 2*i + 242998. Round m to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**4 - h**3 - 2*h**2 - h + 1. Let b(j) = 48*j**4 - 2*j**3 + 94*j**2 - 2*j + 2. Let m(a) = b(a) - 2*t(a). What is the third derivative of m(l) wrt l?\nAnswer: 1200*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2782\/59909 or 0.1?\nAnswer: 2782\/59909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 30846 = -2*f - 30813, -5*f + 14*f = 216 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - 4 + 4)*((1 + 1 - 4)*(-1 + 2 - 2) + 1 + 3 - 3 - 3 - 1 + 6)*(-3*d - 2*d + 3*d).\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 37*d**2 - 1032*d - 1038. Give u(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 1\/4*x**4 - 1\/20*x**5 + 5\/6*x**3 - 3\/2*x**2 - 3*x + 1. Let q(o) be the first derivative of l(o). What is q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 2. Let b be 80\/15*(-2)\/((-2)\/3). Suppose 2*u + b = u - 4*l, 12 = 4*u - 3*l. Solve 9 = i*g - u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2621.82 - 57218?\nAnswer: -54596.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -7*n**3\/6 + 4*n. Let t(l) = 3*l. Suppose 0 = -3*r + 5*a - 30, r + 12 = -2*r - a. Calculate r*t(s) - 2*i(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 8:15 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(143) - (sqrt(143) + ((sqrt(143)*2 - sqrt(143)) + sqrt(143))*6)) + sqrt(143))*5)\/(sqrt(11) - sqrt(99)\/(sqrt(9)*-2) - sqrt(44)\/sqrt(144)).\nAnswer: 495*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105435, 106513, 107591, 108669, 109747, 110825?\nAnswer: 111903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 51 (b) -3 (c) 4 (d) -4 (e) 0.52\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -8*z**3 - 14*z**2 - 14*z. Let p be 1*(3 - -4) + -1. Let u = -11 + p. Let g(y) = 3*y - 11*y**3 + 4*y**2 + 2*y + y**2 + 14*y**3. Give u*x(h) - 14*g(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -174*k**3 - 25*k**2 - 2*k**2 + 135*k**3 wrt k?\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19210945231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y - 42 = 74*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - 14\/(-3))*3 + -100. Round b to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1374898.\nAnswer: 2, 7, 98207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 20 = 4. Let y(v) = 9*v + 14*v - d*v**2 + 4 - v**3 - 21*v. What is y(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-6)\/o)\/(o*o*o\/o**(-1\/2)))\/(o*o*o\/(o*o**(2\/9)*o))**(-14\/3))**45 assuming o is positive.\nAnswer: o**(-1855\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - b**2 + 8*b + 15. Let h(g) = 4*g**3 - 4*g**2 + 33*g + 61. Let u(d) = -9*c(d) + 2*h(d). Is u(-4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a - 1. Let p be o(1). Suppose -2*w + 3*v = -w, 1 = v. Let f(h) = -3 + w - 113*h + 114*h. Let m(t) = 3*t - 2. Give p*m(n) - 5*f(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*p = 40926 - 225330. What is the thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5012043 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100.29*0.41.\nAnswer: 41.1189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2159 + 109 = 9*k. What are the prime factors of -4 + k\/(7 - 3)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/10)\/(4\/(-30)). Let g be -1 - (0\/(-3) + 2). Let u = -5.28 - -1.28. Which is the second smallest value? (a) u (b) g (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 4*c + 20, -27 = -4*p + 2*c - 1. Suppose -5*n + p*n = -9. What are the prime factors of n\/9 - (-356)\/6?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 17*z = -16. Let v be (-3)\/3*(3 + z)\/1. Which is the nearest to 1? (a) -39 (b) -2\/9 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62072375.\nAnswer: 5, 496579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028\/(-3)*(-3)\/((-3)\/(-3)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -360 + 379. Suppose -z*t + 20*t = -6*t. Suppose 4*n - 3 - 5 = 0. Solve t = -n*y + 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 14*i + 12 - 112 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4395 to the nearest 100.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/7 + -2 + 1*87 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188854 to the power of 1\/2, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -1.45\nAnswer: -0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -32, -59, -84, -107, -128?\n\"Answer: c**2 - 30*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8)*6*23*(-76)\/684\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*d + 52, 52 + 0 = 4*d + b. Let w = 12 - d. Let s(l) = l**3 - l**2 + l + 6. Give s(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 15, 4, 3\/4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 318 and 9?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 23 = -m, -5*c = 2*m + 2*m - 32. Solve -r = -m*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9657 rounded to two dps?\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 2*c - 23 + 20. List the prime factors of m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 1\/60*b**5 + 0*b**3 + 2*b**2 + 0 + 0*b + 0*b**4. Let p(g) be the first derivative of 2*g**3\/3 - 57. Give p(y(j)).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 3:48 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*j*l**4 + 2*j*l**3 + 7*j*l**2 - 63*j*l - 67*j + 2*l**4 + 43449*l**3 - 5*l**2 + l wrt l.\nAnswer: 144*j*l + 12*j + 48*l + 260694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6070000 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 567a + -4?\nAnswer: 5676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w + 686526. Let b(h) = -22*h. Calculate b(d(c)).\nAnswer: -132*c - 15103572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-2) - (-3 + -13). Let t be 2\/4*(z\/(-2) - -2). Let u be ((-2)\/(-2))\/(-4*t\/32). What is the greatest common divisor of u and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 231425\/(-2275) + 4\/26. Let n = d + 3539\/35. Is n <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20750 + 63429. List the prime factors of o.\nAnswer: 7, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -17. Let q(s) = -i*s + 4*s + 12 - 4*s. Let a be q(-5). Solve -5*n - 3 - a = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l**2 - 4 + 4)*(3 - 2 - 2) + 5*l**2 - 3*l**2 + 0*l**2 - 1 + 1 + 2*l**2 - 2*l**2 - 2 + 2 + (2 - 2 - l)*(3*l + 2*l - 4*l) + l**2 - 5*l**2 + 2*l**2.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586371 is divided by 1018?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -t - 3*t + 25404, 4*y = 16. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**15)\/a**(-9))**(3\/4)*a**(-1\/4)*a\/(a*a**(1\/5))*a**7*a*a*a*a\/a**9 assuming a is positive.\nAnswer: a**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 880860 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 6*t + 12 = -8*t, -5*h + 2*t = -27. Solve h*j = -29 + 34 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -16 (c) 4 (d) 356\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.4 - -27. Let h = g - -2. Which is the third biggest value? (a) -5 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(3\/4)))**(-1\/4)\/(s\/s**(2\/3)*s\/(s\/(s*s**1\/s))) assuming s is positive.\nAnswer: s**(-55\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 178.648, -4, 1, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 17. Sort z, -13, -2\/15 in increasing order.\nAnswer: -13, -2\/15, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238669 divided by 218?\nAnswer: 238669\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-45)\/4))\/(627\/(-297))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 17 = 23. Let b(w) be the third derivative of 0*w + 1\/6*w**3 + 1\/15*w**5 + 0*w**z + 0 + 3*w**2. What is the derivative of b(t) wrt t?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2120*f + 25563. Determine a(-14).\nAnswer: -4117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 + -80. Let s = -0.11 - -0.21. Is s != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 3*z - 17. Suppose 2*q + 5*f = z, 2*f - 31 = -4*q - f. Solve -5*h + 0 = -5*l - 45, -l - q*h + 11 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -655, -631, -591, -535, -463?\n\"Answer: 8*d**2 - 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - 117*y - 337. Give i(62).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/123, 0.4, -229\/70, 8\/5, -0.5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4593520 plus 0.1067?\nAnswer: -4593519.8933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 15 = -i. Let f(y) = y**2 - y - 18. Let j be f(i). Suppose j*q - 106 = -a, -2*q = a + q - 109. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 253072325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -291018 or -291017?\nAnswer: -291017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4*f = -16, -2378*f + 2382*f = -3*t - 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 9*r - 541 + 541. Factor r*k - 2\/3*k**2 + 0 - 4\/3*k**3 - 2\/3*k**4.\nAnswer: -2*k**2*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4 - 1104*y**3 - 147774*y**2 + 1291360*y + 5174400 = 0. What is y?\nAnswer: -280, -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 408137, 816273, 1224409?\n\"Answer: 408136*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17746.7713 rounded to the nearest 10?\nAnswer: -17750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*v - 11841 = 0. Let l = 5797 + v. Round l to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -0.8.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6}. What is prob of sequence uu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrc when three letters picked without replacement from rrbrvruuucbr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 232*g - 8824 - 16464. Sort -4, 1, g in decreasing order.\nAnswer: g, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 3\/2*y**2 + 0 + 0*y**3 + 2*y + 3\/20*y**5 + 0*y**4. Differentiate b(v) wrt v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + 35 + -38\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.008 - 0.075. Let k = v - -4.067. Let o = 24 + -49\/2. What is the nearest to o in k, 3\/4, -8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(80)*-2)\/(sqrt(1210) + -1*sqrt(1210) + 1*sqrt(1210))*-2 + 0.\nAnswer: sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*1.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 18*j - 11. What is s(10)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -201250 rounded to the nearest one thousand?\nAnswer: -201000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.1 (c) 201\/8 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*l - 9, -2*w - 3*l + 21 = 0. Factor 16*s + 49*s**3 + 44*s**2 + 8*s**5 - 16 + 34*s**4 + w + 7*s**3.\nAnswer: 2*(s + 1)**4*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + 7*j + j - 12.\nAnswer: 3*j - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(5) + -4 + (sqrt(110)\/sqrt(5))\/sqrt(2).\nAnswer: -4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -54?\nAnswer: -5\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 - 109. Suppose -2*d + 6*d = -4*a + 328, 0 = 2*d - a - 167. Let k = d + u. Calculate the greatest common divisor of 34 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 624066573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -1830*u**2\/7 + 58973568*u\/7 + 386712\/7 = 0.\nAnswer: -2\/305, 32226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3941*g**2 - 15*g + 4. Suppose 4*b + 3*t - 25 = 6*t, 0 = -3*b - 4*t. Let s be l(b). What is s rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2874 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13503 is divided by 500?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, e: 3, f: 1, t: 2}. What is prob of sequence ttme?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 15837767.19 microseconds?\nAnswer: 0.000026186784375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -265*u. Let c(a) = 5832*a. Calculate 2*c(r) + 45*g(r).\nAnswer: -261*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14796, 29535, 44274?\nAnswer: 59013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 243 + -243.04. Let h = j + 0.07. Which is the nearest to -1\/4? (a) h (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41.2 bigger than -11342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*o = 15 + 109, 5*o = -j - 77. Let d = 52 + j. Factor 0*k**2 + 0 - 2\/15*k**5 - 2\/15*k**3 + 4\/15*k**4 + d*k.\nAnswer: -2*k**3*(k - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 34. Suppose -744 = -x*j + 1376. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3140*c + 93. Is g(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 + -0.08. Let m be (32 - 33) + (16\/(-42))\/((-3)\/9). Which is the closest to 0.03? (a) y (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92204 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 18 = -3*p - 3*q, 5*p + 40 = -5*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2. Suppose -2 = m - 9. Let d(z) = -z**3 + 7*z**2 + 1. Let p be d(m). Let k(w) = -p - w + 1. Calculate k(c(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - -16) + 5 + -17?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 4*n**2 - 3*n + 2. Let k be p(3). Let j be k\/6*3*107. Let c = -30 + j. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000101 (base 2) to base 7\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 - -63. Let c(r) = -r**3 - 9*r**2 + 10*r + 11. Let y be c(p). What is the highest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 11*k - 590 = 0. What are the prime factors of k?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48927326?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74\/35 + 12\/5. Which is the closest to 7? (a) -5 (b) -1\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d = -4, 3*t + 54426503 = -d. Let b = -12494008 - -5651841. Let r = b - t. Round r to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47a34 - 1b1?\nAnswer: -47c15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(-5859)\/(-4557)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 839*z**3 + 873*z**3 + 12 - 1710*z**3 - 12.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-28)*133\/(-95)*(-140)\/(-21)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*k = k - 220 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 47130*n + 754. Let w(i) = 7855*i + 116. Determine 4*r(k) - 26*w(k).\nAnswer: -15710*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 8:39 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, e: 1, f: 6}. What is prob of picking 1 o, 2 f, and 1 e?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 19.\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 338712, 338261, 337508, 336453, 335096, 333437, 331476?\n\"Answer: -151*x**2 + 2*x + 338861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7.020744*1\nAnswer: -7.020744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 529249*d**2 - 4*d + 12. Let r be j(2). Round r to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (245\/14)\/((3726\/(-108))\/69)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*a - 12464 = -100*a. What is the greatest common factor of a and 1681?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2 - 2)*(-f + 3*f - f)*(4*f - 4*f + 2*f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 1 = -m, -578*k + 5 = -579*k - 5*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z**3 - 5*z**2 + 5. Let m(u) = 15*u**3 + 2*u**2 - 2 - 10*u**3 - 9*u**3. Determine 5*m(w) + 2*t(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177396?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174732 is divided by 338?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*y - 43, k + 4*y = -3 + 19. Let f = k + -6. Calculate the lowest common multiple of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417*q**2 - 273*q - 287*q + 560*q.\nAnswer: -417*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5*b = -35, b - 161 = 11*w - 56 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 754500 and 15090?\nAnswer: 754500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4)\/(-8)*(-6 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1032211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -2.7 (b) 0 (c) 3\/5 (d) 546\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8038815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -3 - 15 - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and -4395.709.\nAnswer: 3956.1381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 30424 and 30422 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 49566347 to the power of 1\/2, to the nearest integer?\nAnswer: 7040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 bigger than -107\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(25\/((-225)\/6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133 + 47. Suppose d - p = -4*q, -3*q + 158 = -d - 4*d. Let v = 781\/17 - q. Is v at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 12*t - 10. Determine s(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 + 121012122201?\nAnswer: 121012122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**4 - q**3 - 29946574*q**2 - 413354842*q wrt q.\nAnswer: -24*q**2 - 6*q - 59893148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 + 98. What is the remainder when 91 is divided by x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, y: 1, n: 1, h: 4, u: 1}. Give prob of sequence hn.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -410111?\nAnswer: -410112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**6\/50 - 99*l**5\/100 + 72*l**4\/5 - 128*l**3\/5 + 20*l + 52. Let r(q) be the first derivative of c(q). What is j in r(j) = 0?\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u**4 + 3*u**3 + 3402*u - 12414?\nAnswer: 8*u**3 + 9*u**2 + 3402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271828?\nAnswer: 2, 67957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j**4 - 10756*j**3 - 3*j - 12148.\nAnswer: -48*j**2 - 64536*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*w + 3 = 0, -4 = -2*m - 2*m - w. Suppose 554*g = 557*g - 9. Solve -3*c - 4*i + 22 = 0, -5 = 3*c - g*i + m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/14*-9*105\/1080?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + 11. Suppose y*s - 24*s = 8. Solve -s*i = -w + 4, 2*w - i - 6 = -1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*a - 10, -6 = 4*b + 4*a - 7*a. Solve z + 10 = 3*u, -3*u - 5*z + b + 22 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.2 + 19. Let m be (-8 - 21\/4) + (-4)\/((-64)\/20). Let l = 0 + 5. Put m, u, l in decreasing order.\nAnswer: l, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -625, -2541, -5737, -10213, -15969, -23005, -31321?\nAnswer: -40917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233556522 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 0, 3, 4 in ascending order.\nAnswer: 0, 3, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*l - 216*j + 217*j, -2*j - 10 = 0. Solve -1\/2*q + 1\/2*q**3 + 0 + l*q**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(3\/4)))\/(z*((z\/(z*z**(-16)))\/z)\/z) assuming z is positive.\nAnswer: z**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1233746.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 0*j + 1\/120*j**6 + 1\/10*j**5 + 0 - j**2 + 1\/6*j**4 - 2\/3*j**3. What is the smallest common multiple of n(-5) and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7191 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 4*x + 4. Let q be j(-4). Find the third derivative of q*w**6 - 11*w**2 + 0*w**2 + 5*w**6 wrt w.\nAnswer: 1080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.95 + 1.15. Let l = 2.3 - 0.3. What is the third biggest value in y, 2\/5, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51877672.46 to the nearest 1000.\nAnswer: -51878000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1435)\/882 - (-840)\/540?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/((m\/(m*m**(2\/13)))\/m)*m**(-9)*(m*m\/(m\/(m\/(m\/((m*m**(-9)\/m*m)\/m*m))*m)))\/m**(-2) assuming m is positive.\nAnswer: m**(-128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 68959985 = 2*g, -5*g + 3*u - 172399985 = -0*g. What is g rounded to the nearest 1000000?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -883*l + 182*l + 1282 = -3625 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m**3 - 89*m**2 + 183*m - 2910. Let g be z(15). Let d(s) = s**2 + 1500. Let r be d(0). Calculate the highest common divisor of g and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 3*sqrt(192)*1 + -3 - (sqrt(192) + 1 + -4 + 3))**2.\nAnswer: -144*sqrt(3) + 1737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**4 - 5*s**3 - 3*s**2 + 5*s + 4 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from wrrrlrcffwryfllflfl.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -443 - -403. Let x(t) = -t**3 - 41*t**2 - 61*t + 31. Does 13 divide x(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 227358037 and 5230.\nAnswer: 2273580370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*o + 48, 0 = -3*o - 2*u + 31 + 5. Suppose -o = -5*q + 8. Factor -1\/2*x**5 + 0 - 1\/4*x**2 + 0*x + 0*x**3 + 3\/4*x**q.\nAnswer: -x**2*(x - 1)**2*(2*x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1484 + -527. List the prime factors of a.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1136 and 994?\nAnswer: 7952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 291.22 - 296. Let g = -8.7 - z. Let h = 0.08 - g. What is the biggest value in 3, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.9*-88\nAnswer: 2191.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f + 2. What is the tens digit of -1 + (0 - f)*15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010011 + 1010?\nAnswer: -110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -570*y - 3985. Let i be n(-7). Put -6, 88, i in descending order.\nAnswer: 88, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12257731.\nAnswer: 17, 721043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, 60, 138, 248, 390, 564, 770?\n\"Answer: 16*k**2 - 2*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 4 + 4)*(-2*b + 0 + 0) + 4*b**2 - 3*b**2 - 2*b**2 + 3*b + b**2 - 3*b + (1 + 2 - 5)*(0 + 2*b**2 + 0).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 332*p - 340*p + 216. Suppose -v - 3 = -13. What is the remainder when p is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -54, -50.1, -5?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4197, -3586, -1869, 1524, 7163, 15618, 27459?\n\"Answer: 95*g**3 - 17*g**2 - 3*g - 4272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5155551 + -1251?\nAnswer: 5154300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, -2, 3 in descending order.\nAnswer: 8, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.02 + 1.9. Let v = m + -0.18. Which is the nearest to -2? (a) v (b) 1\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suc when three letters picked without replacement from uudapssssccuuspss.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*g - 1400. Suppose g = k + 3*k. List the prime factors of k\/8 + 6\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 6 = 1, 5*p - 4*s = -5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 4*u**2 - 5*u - 7. Let h be a(-5). Let i(s) = -5*s - 11. Let p be i(h). Calculate the greatest common factor of 60 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.12 (b) 2\/47 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26515552 divided by -6628888.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393?\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 4. Let q be (-3)\/6*(-7 - 1). Let c(v) = v + 5. Let r(f) = q*t(f) + 3*c(f). Let k be r(3). Let d(a) = -a**3 - 3*a**2 + 7*a + 5. Give d(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -239\/4. Let y = 0.3 + 0. Let v = 71\/8 - 9. Which is the closest to 0? (a) s (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -3515?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2))\/((-65)\/52)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -116532 (base 8) to base 13\nAnswer: -15448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 0*o**4 + 1\/84*o**7 + 1\/40*o**5 + 1\/30*o**6 + 0*o**2 + 0*o**3 + 0 - 6*o. Find z such that r(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 53*r**3 - r**2. Let z be t(1). Suppose -4*y = 2*l - z, 5*y - 7 + 107 = 5*l. Is (l\/6)\/(2\/30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -179, -179, -181, -185, -191, -199?\n\"Answer: -r**2 + 3*r - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*x = -89*x - 305844. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -66576*q**2 - q - 4. Let k(w) = -4*w. Determine j(k(u)).\nAnswer: -1065216*u**2 + 4*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.162943132 to three decimal places.\nAnswer: -0.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5*m**(-11))\/((m\/(m\/(m\/(m*m**(-1\/21))))*m)\/m**(3\/14)) assuming m is positive.\nAnswer: m**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131921 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/532 and 79\/8.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1394 divided by -14\nAnswer: -697\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.6, 1, 3\/5, 12, 16 in descending order.\nAnswer: 16, 12, 1, 3\/5, -9.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**2 - 3*w**2 - 2*w - 3*w - 99*w**3 + 3*w - 2. Let p be d(-1). Suppose p + 139 = 16*v. What is the highest common factor of 90 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*x + 34*x + 294. Let f(t) = -3*t + 1. Let k(z) = -9*z + 3. Give x*k(o) + 8*f(o).\nAnswer: 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 2:43 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 198 - -4a?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, -0.4, 48, -6, 0.8, -0.04?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-24)*((-32)\/(-9))\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 9870995.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19843380, -19843382, -19843384, -19843386, -19843388, -19843390?\nAnswer: -19843392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**5\/105 + r**4\/3 + 14*r**3\/3 - 7*r**2. Suppose u(s) = 0. What is s?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 12:06 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38590 by -2270.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(13\/6)*u**(2\/39) assuming u is positive.\nAnswer: u**(173\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, g: 11, c: 6}. Give prob of picking 2 g and 2 c.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-5) + 2\/(-5). Let i be (-556)\/14 + (-2)\/7. Let h = -37 - i. Put z, -5, h in increasing order.\nAnswer: -5, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1053) - sqrt(1053))*-2 - 2*sqrt(1053)*-3)**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z + f = 183, 0 = z - f - 52. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(405) + -2 + 5*(sqrt(405) + -1))*6 + 0 + -5)**2 + 2.\nAnswer: -38232*sqrt(5) + 528363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 474393 divided by -2\nAnswer: -474393\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 109.08 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/8610 and 37\/840.\nAnswer: 34440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -324*b**3 + 331*b**3 + 39 + 447*b - 448*b as s + f*b**2 + y*b**3 + x*b and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -1762. Suppose 42*d = 40*d + x. Does 31 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -k - 3821, 3*a = -0*k - 4*k - 15291. Let w = k + 15387\/4. Calculate the common denominator of 18\/5 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/2)\/3*186\/(-465)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -62 and -4879 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(2448\/20)\/6. Let c(l) = 7*l**2 - y*l**3 - 101*l**3 + 5*l + 204*l**3. Give c(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - -93. List the prime factors of b.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107260 divided by -4\nAnswer: -26815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 12*r**2 + 16*r + 42. Let d be p(10). Suppose d*f + 19*f - 987 = 0. What is the common denominator of 77\/162 and f?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 + v**3 - v**3 + (-v**4 + 0*v**4 + 0*v**4)*(-2*v + 3 - 3) + v**5 - 3*v**2 + 3*v**2 + 4*v**5 + 138 + 5*v - 140 - 2*v + 4*v**5 - 3*v**5 + 0*v**5.\nAnswer: 9*v**5 + 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r - 25 = -57*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/2669 or 0.6?\nAnswer: 9\/2669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2209\/3 - -749. Let j = -3224374766589\/341330 - -273948660\/29. Let x = j - -1\/1070. What is the common denominator of x and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 223021222?\nAnswer: 223021232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -815\/12 + 271\/4. What is the third smallest value in b, -5\/3, -13.88?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 less than 350914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113 + 111.4. Let a = m + 3.6. Sort -5, 0, 10\/3, a in ascending order.\nAnswer: -5, 0, a, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5*m + 91 = 68, -4*m - 21 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12593\/4 + -3164. Let l = 17083\/6 - 2833. Find the common denominator of u and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (384\/(-216))\/((-183)\/1647).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4663661822 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 divided by -220.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**2. Let w(x) be the first derivative of 2*x**3 - 2. Determine w(n(g)).\nAnswer: 54*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 901*g**4 - 167*g**2.\nAnswer: 21624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) + (-135)\/60. Let h = 16 + i. Let t be (-9*1)\/(6\/(-28)). Calculate the highest common divisor of t and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-652)\/(-18) + 4*10\/(-180). Let j = q - -231. What is the remainder when j is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 351\/(-169) - (10\/(-4) - (-4)\/8).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -4)\/(8\/12). Let x = 6 + u. Solve -2*o = x*d + 17, o + 2 = -3*d - 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, d: 11, l: 3}. Give prob of sequence ld.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f + 4*f + 3 - 5 - 1 wrt f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8816 is divided by 2103?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 142212251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**5\/60 + t**3 - t**2. Let r(y) = 4*y**2. Let z be r(1). Let c(s) = s**2 + z - 5 - 4. Calculate 6*c(b) + 5*w(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1133991920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (127 - 120) + (20 - ((2 - 1) + 1)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 162 = -2*y, -5*q + 2*q + 177 = -3*y. Let a be 7 - (5 - 6)*31. Let w = q + a. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12369 and 532?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1784048 is divided by 12219?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -33.3. Let b be 10*4\/(-16) + 2. What is the third smallest value in 0.2, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -2*y**3 - 8*y**2 - y - 52. Let q(n) = -n**2 - 3*n. Give 11*q(x) - 2*t(x).\nAnswer: x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797196924 is divided by 1133.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12934 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-18))\/(60\/(-72)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*d - 25 - 5, -4*y = d. Let b = d + 27. Calculate the remainder when b is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 187 - 191. What is the third smallest value in 2\/67, b, -5?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*d**4 + 50*d**4 - 17*d**4 - 4*d**3 + 3*d**3 + 2*d - 28*d**4 + 2*d**2 to the form b*d + h*d**4 + k*d**3 + v + p*d**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 196890979 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1196 - 1196.4. Let f(i) = i**3 + 2*i**2 - i. Let u be f(1). Let s be (u\/10)\/(18\/(-15)). Which is the third smallest value? (a) s (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, i: 11, e: 1}. Give prob of sequence we.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvvr when four letters picked without replacement from {d: 1, v: 4, r: 6, f: 7}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.059 - -24.92\nAnswer: 24.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 8*k**7\/525 + 47*k**6\/30 + 4357*k**5\/75 + 808*k**4 - 4224*k**3\/5 - 3*k**2 - 10*k - 7. Solve p(g) = 0 for g.\nAnswer: -24, -11, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -197201.23671 to the nearest one hundred.\nAnswer: -197200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3507 from -5.\nAnswer: -5.3507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 942 and 177410.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -2*u. Let h(b) = b + 121. Is h(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) 28\/13 (c) 2\/7 (d) -0.3 (e) -4 (f) 5 (g) 180\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crrrcotdct. What is prob of picking 1 o, 1 c, and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2450, 12721, 30816, 56735?\nAnswer: 90478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 - -46. Suppose -4*z + 6 = -2*z + 5*c, 2*c = 4. Let m be (y + -1 + 1)*z. Solve m*p = 5*p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1304 - -16?\nAnswer: -12ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a1 + -b17?\nAnswer: -966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -11*p + 3. Let o be j(1). Let z be 6\/2 + ((-30)\/5 - o). Suppose -z*a - 167 = 5*h + 33, 0 = 4*h + 4. Is a less than -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 3*u + 2. Let p(c) be the second derivative of -20 - c - 1\/12*c**4 + 3\/2*c**2 - 1\/2*c**3. Give -5*p(q) + 6*x(q).\nAnswer: -q**2 - 3*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0154 and -1?\nAnswer: 0.0154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 18912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1 - 1 + 968*u**2 + 1865*u**2 - 197*u**2 + u**3 + 1354*u**4 wrt u.\nAnswer: 32496*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*f = 3*f + 92, -5*b = 4*f - 458. Let n(y) = 474*y - 7574. Let t be n(16). What is the highest common factor of t and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2. Let p(v) = v**2 + 1. Let f(u) = p(u) + 5*w(u). Suppose -5*z + 0 - 5 = 0. What is f(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -471*a**4\/4 - 6751*a**2. Let i(w) = 3*w**2. Calculate z(i(s)).\nAnswer: -8478*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -109*g**3 + 4*g - 4. Let l(h) = 18093*h**3 - 666*h + 666. Calculate -4*l(c) - 666*o(c).\nAnswer: 222*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 0*r**2 - 4*r**2 + 3*r**2. Let l(h) be the second derivative of -h**3\/6 + 5*h. What is l(t(y))?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1585.\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4\/3, 12.45, 99?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2303234132 (base 5) to base 6.\nAnswer: -302010551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1375413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 83, -5, 14 in decreasing order.\nAnswer: 83, 14, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 5. Let q be p(6). Let h be (-6 - -7)*(-19)\/q. Suppose i = 4*d + h, 0 = 5*d + 5 + 15. Solve 5*t - 6*t = 3*y + 1, -3*t - 2*y - i = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3194643 is divided by 538.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (18843\/6 - -3)*((-132)\/(-11) + -10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31\/376 + 2\/47. Let a = 14.3 + -2.3. Let w = -11.9 + a. What is the nearest to 1 in u, -0.4, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25095, -51366, -77637, -103908, -130179, -156450?\nAnswer: -182721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/9 (b) 24\/8537 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 614*m**2 - m + 4 wrt m?\nAnswer: 1228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 341 and 88\/1628 + 27522\/111.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -6 + 6. Suppose -4*k - s + 4*s + 113 = b, 71 = 3*k - 5*s. What is the least common multiple of 9 and k?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 equal to -12679007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + 1e9b?\nAnswer: 1e95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 769278 times 8?\nAnswer: 6154224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 7. Let c be y(0). Let g(r) = 7*r + r + 8 + r**2 - 2*r**2. Let n be g(c). Solve -10 = -5*d + n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 10*u + 18 = 0. Let p(s) = 15*s - 8. Let v be p(u). Let f = 201 + v. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -334641, -334634, -334613, -334572, -334505, -334406, -334269, -334088?\nAnswer: -333857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -6*w - 20. Let z(y) = 2*y. Determine z(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pldlpllppdplppppddl. What is prob of sequence ll?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzhhzhhz. What is prob of picking 2 h and 2 z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 806, 748, 690, 632, 574?\n\"Answer: -58*n + 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/(-3) - 4*-1. Suppose 15 = 3*h + 3*d, 0 = -3*h + 28*d - 30*d + 10. Put 6, s, h in ascending order.\nAnswer: s, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 4) + (-13 + -3 - -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9374122931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0689965 - 0.069. Round q to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -414883243.9999826 + 414883191. Let l = 53.35 - 0.35. Let i = o + l. Round i to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (616*y**2 - 18*y**2 + 60*y**2)*(0 - 3 + 2) to the form q*y**2 + j + f*y and give q.\nAnswer: -658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 1, -20, -35, -32, 1?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h, -717 = -2*x + 4*h + 583. Suppose -8*f + x = -494. What are the prime factors of f?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 + 101212112200001?\nAnswer: 101212112201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 44687 * 74\nAnswer: 3306838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306909.\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 816, 3 in descending order.\nAnswer: 816, 20, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -723 + 356. Let j = x - -482. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - -19 - -3 - (-7 + 2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a + 10 = 0. Let g = -0.3 - -0.1. Let w = 0.1 + g. What is the biggest value in a, -2, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1197*l - 11466 = 1184*l. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29294 or 263656\/9?\nAnswer: 263656\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 10 = 5. Suppose -c*t = -6*t + 10. Calculate the remainder when 37 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.3*0.3.\nAnswer: -5.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-393 - -373) + (56 - 1).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(4)*-4*6)**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0 + 0)*(-m**2 - 7 + 7)*(-m - 2*m + 6*m)*(-6*m + 9*m - 6*m).\nAnswer: -18*m**5","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 ooooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 + -0.12. Let b = -4.93 + z. Put b, 2, 1\/4 in decreasing order.\nAnswer: 2, 1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**3\/2 + 2145*p**2\/2 - 306735*p\/2 + 14621035\/2 = 0 for p.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 18. Let p be -20*((-15)\/f)\/5. Suppose -r + p + 16 = 0. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 142 - 63. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 469325005 from 331954.\nAnswer: -468993051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 121011212122 (base 3) in base 4?\nAnswer: 1031300102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29975, 119891, 269749, 479549, 749291?\n\"Answer: 29971*t**2 + 3*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(8\/3)*l**(4\/9))\/(l**(-17\/5)\/(l*(l**(-3\/8)*l)\/l*l*l)) assuming l is positive.\nAnswer: l**(3289\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 118 = 30*z + 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -3*m**3 - 145*m. Let x(d) = -24*d**2. Calculate h(x(g)).\nAnswer: 432*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 1)\/4 - ((-31641225)\/60)\/11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-2) - 64\/37920*435. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7552, -7245, -6940, -6637, -6336, -6037, -5740?\n\"Answer: -b**2 + 310*b - 7861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 190 = 4*h. Calculate the remainder when 1\/4 + (-318)\/(-48)*14 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.9135 + -5.0135. Let t be 2\/6 - 230\/726. Which is greater: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 22 = -3*g, 2*s - 4*g = -0*s - 12. Let i(r) = 5 + s*r - 5*r**2 + 5*r - r**3 + 4*r - 2*r. Calculate the remainder when i(-7) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5290393 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -202453\/6 + 33743. Let x(o) be the second derivative of 7\/10*o**5 - o + 0 + l*o**4 + 0*o**2 - 1\/6*o**3. Find the third derivative of x(i) wrt i.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (45\/21)\/3 - 1. Let z be (-12)\/(-8)*(-2)\/(-3). Which is smaller: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 204791488 - 3?\nAnswer: 204791485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j**2 + 9*j - 4. Let w(g) = -16*g**2 + 7*g. Let i(b) = -17*b**2 + 6*b + 1. Let o(c) = 6*i(c) - 7*w(c). Let a = -1 + 6. What is a*o(y) + 7*r(y)?\nAnswer: y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -10\/11 (c) 4 (d) -2\/3 (e) -2\/37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -13\/33 (c) 7\/3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -4*f - 184, -4*f = -5*c + 50926. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30.05 + 0.05. Let s = 27 + z. What is the closest to -2\/7 in 4, s, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 50.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16404*m**4*n**2*o + 2615*m**3*o - m**2*n**2*o - 9*m - 491829*n**2 wrt m?\nAnswer: 393696*m*n**2*o + 15690*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 2\/7, 477?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 5*d - 4. Suppose 4 = 3*r - 8. Let f be b(r). Factor -6*u**4 + f*u**4 + 2 - 21*u**2 - 3*u - 3*u**4 - 25*u**3.\nAnswer: -(u + 1)**3*(9*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(11) + sqrt(22)\/(1*sqrt(2)))*-1 - ((sqrt(484) - sqrt(484)*-1)\/sqrt(11) + sqrt(44)))**2 + 0).\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1 + 6 = 0. Let t(p) = -p**2 + 4*p + 3. Let l be t(j). Is 4 + l + -2 - -13 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 1:18 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 3*q + 0 + 0*q**2 + 1\/6*q**3. Let g(m) = -m. Give g(t(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Suppose -q*l - 28 = -g, -g + 28 = g + 3*l. Solve -5*b - d - 1 = g, d = -4*b - 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14876490 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/8)\/(2\/(-6)). Let m be (8\/(-44) + 8\/44)\/(-1). Do d and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42062833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*p - 73*p + 3360 = -6*p for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5\/7 + 2*a**4\/7 - 2*a**3\/7 - 2*a**2\/7 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 5. Let x = -0.26 + -0.04. Let a = x - -0.4. Which is smaller: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1376850 and 1193270.\nAnswer: 17899050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 2:33 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-219737)\/(-3) + 7565\/(-1335)?\nAnswer: 2, 5, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a tonne in kilograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/2 + 122*f**3 - 11163*f**2 + 453962*f - 13845841\/2 = 0.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 10*w)*(-2*w + 2*w + 2*w**4) - w**5 + 3*w**3 - 3*w**3 - 2*w**5 - 2*w**4 + w**5 + 4*w**4 + (0*w**2 - 2*w**3 + 0*w**2)*(4*w**2 - 2*w**2 - w**2).\nAnswer: -24*w**5 + 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 1.49?\nAnswer: 0.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 26*g**2 + 116*g + 36. Calculate m(7).\nAnswer: -769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - i. Let k(d) = -21*d**2 - 28*d. Let g(h) = k(h) - 28*p(h). Let j(t) = t**2. Give j(g(q)).\nAnswer: 49*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1335233, -1335232, -1335231, -1335230?\nAnswer: -1335229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -3\/8*z**2 - 7\/24*z**4 + 1\/168*z**7 + 43 + 1\/120*z**6 - 11\/24*z**3 - 3\/40*z**5 - z. Determine t, given that s(t) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1033 (base 5) to base 3\nAnswer: -12022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*i - 12576531 + 12576531.\nAnswer: 183*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 29. Suppose 4*b + v = -2*j, 4*j = -b + 2*b + 11. Which is smaller: j or 12\/13?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/2434 and 26?\nAnswer: 2434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**0*b)\/b*b**(6\/5)*(b\/(b\/b**(1\/3)))\/b**4 assuming b is positive.\nAnswer: b**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n\/((n*n**(2\/11))\/n))*n*n))\/(n**(-6)\/n))**(2\/3) assuming n is positive.\nAnswer: n**(106\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15481, -361, -2.\nAnswer: -361, -2, 15481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 28 - 8 = 0. Suppose x + l = -3*x. Let a(d) = 2*d**2 + 6*d + 6. Let t be a(x). Let f(v) = -v**2 + 8*v - 6. What is f(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a (base 15) in base 7?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**3 - 36*h**2 - 135*h = 0?\nAnswer: -3, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/(-39))\/(9\/(-6)). Let x = 15814.8 + -15813. Which is the nearest to -1? (a) -1 (b) z (c) x (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3501 + -115. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 + 6*n + 5. Let c be l(-5). Suppose -2*f = -5*p - c, 0 = 3*f - 2*p - 95 + 9. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580831?\nAnswer: 191, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220112 - -1212100?\nAnswer: 10202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4, -3*w + 3*j + 50 = 4*j. Let g = -148 + 216. Calculate the highest common divisor of g and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 602 = 15*d - 2*z, 3*d + 465 = -3*z. Let r = d + 631. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40687619 to the nearest 100000.\nAnswer: 40700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 49*x + 126*x - 40*x + 30*x**3 - 37*x to j*x**2 + f*x + o + b*x**3 and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2046724 * 4.\nAnswer: -8186896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, 188, 450, 732, 1040, 1380, 1758?\nAnswer: 2180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 2 (c) -96 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 17, 13, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 h when four letters picked without replacement from {e: 4, u: 2, h: 4, v: 3, l: 3}.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113.77 + 118.9. Let m = 0.13 - l. Let q = -205 - -207. Which is the closest to q? (a) 0.2 (b) m (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3 = 0, 16*q + 37 = 3*p + 12*q. Suppose -109 = -5*a + 4*i, -3*i = a - 0*i - 18. Let h = a - 10. What is the highest common divisor of h and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 121\/2 (b) 15 (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 1 = -10. What is the remainder when a is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s + 16. Let p be n(-3). Let v(g) = -g**3 - 4*g**2 + 5*g - 5. Determine v(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12997 + 649811\/50. What is the common denominator of -73\/2 and g?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*w - 23, -2*f - 63 = -7*f + 2*w. Let g = f - 7. Solve p + 5 - g = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnc when three letters picked without replacement from nnnnnnncccccncnccc?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/4 - 803*m\/4 + 80481\/2 = 0. Calculate m.\nAnswer: 386, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r - 3. Let w be k(3). Suppose -26 = -2*d + 2*f - 6*f, 5*d + 3*f - w = 0. Solve -d = b, -b = -3*l + 2*b - 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 10*u - 7. Let n = -8 + 18. Is g(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 37 - (0 + (-4 - -1)). Let f = -16 + b. Calculate the remainder when 89 is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.09, 3\/7, 0.4, -2\/7, -22?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 538365 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1888595 divided by -1.\nAnswer: 1888595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/11)\/n**(6\/5)*(n**2)**(-13\/5))**(4\/13) assuming n is positive.\nAnswer: n**(-1428\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 750648060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -30.07 * -24.118\nAnswer: 725.22826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 9, -14*b - 4107*c = -4112*c + 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 6:26 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 4:02 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 1:54 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13, 25, 39, 55, 73, 93, 115?\n\"Answer: k**2 + 9*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26 - 3374?\nAnswer: -334a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from bbbblblblbb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3)*v)**(-31\/5) assuming v is positive.\nAnswer: v**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 5 + (-24)\/6. Suppose -i*f - f - 8 = -2*s, -5*s + 20 = 5*f. Suppose f = -5*a - 2*a. Solve a*k - 15 = -5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7848 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + (13 - (23 - 11))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -4 - (-22 - -29).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3442337\/54 + 63745. Calculate the common denominator of -91\/12 and s.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 5, -41, -139, -307, -563, -925?\nAnswer: -1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 224, -1, 18 in descending order.\nAnswer: 224, 18, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-49))\/(((-28)\/7)\/84)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274 + 822 + 722*a - 278 - 270 + 505*a.\nAnswer: 1227*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 2*b**2 + b + 6. Let o be (-2)\/(-4)*(0 + 0). Let m be j(o). Let k be -2 + (-20)\/(-11) + 0. Put k, m, -5, -1\/3 in ascending order.\nAnswer: -5, -1\/3, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/14 - (-2 + 3). Sort b, 0.4, 1 in descending order.\nAnswer: 1, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.66 - 0.16. Let s = -4.99 + -0.01. What is the biggest value in s, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33560934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 202409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1852 (b) -2 (c) -0.2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from xvxavmxxkkrv?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1077*c**3 + c**2 + 244*c wrt c?\nAnswer: -6462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*((-5)\/3 + 2). Suppose d = q - 4*b - 8, -5*q + 7 = b - 12. Suppose 16 = q*p - 0*p. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 34*h = 238, 3*h = -n + 6*n + 359 - 338 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 6 + 2. Let q be (-78)\/21 + v\/14. Let k be 3*(29 + -31)\/(-1 - -3). Which is smaller: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1621239491.\nAnswer: 1117, 1451423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1539 (b) 11945 (c) 0.06 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 90*q**2 + 6044*q + 38655. Calculate w(-60).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -16\/397021, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, t: 2}. Give prob of sequence tt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*r - 9*r + 396 = -28*r. Let w(v) be the first derivative of -2*v**3\/3 - 5*v**2 - 9*v - 2. Determine w(r).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-1 - -14) + -49 + (72 - 42).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 2*b**2 + b**3 - 5*b**2 + b - 2*b**2 - 7 in the form l*b**3 + x + k*b + n*b**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1244 - -1236. What is the biggest value in t, -1\/4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -498, -1154, -2076, -3264, -4718?\nAnswer: -6438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, -2, -661587 in descending order.\nAnswer: -2, -122, -661587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 4, -0.2, -3, -344\/5, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344277545 is divided by 182?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 2 - 2)*(-5*y + 4*y - 3*y)*(-10*y + 10*y - y**2) in the form l*y**4 + c*y**2 + x*y**3 + h + s*y and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -2) + 1 + 3. Find the second derivative of 42*i - 3*i**2 + 4*i**2 + 0*i**j - 14*i**5 + 16*i wrt i.\nAnswer: -280*i**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4 + 5*z - 5*z + z. Let d be i(7). Suppose -5 = -2*n + d. Sort 5, 1, n in increasing order.\nAnswer: 1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8558387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 5:44 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 5*f + 4 - 1, -2*o = 5*f - 13. Suppose o*g = -2*n + 231 - 51, -5*n - 20 = 0. Let z = g + -42. Sort z, 2, -1, 1.\nAnswer: -1, 1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -5, 3, -7 in increasing order.\nAnswer: -7, -5, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-6)*(18\/(-90))\/(30\/225)*-4.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -63. Suppose -b*o + 1636 = -348. Calculate the remainder when o is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - 0 - (-24 - -5). What is the hundreds digit of 585\/45*1*x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*j - 4*j. Let m be 1*j*(1 - 2). Let y be (6\/(-4))\/(12\/(-80)). Solve -y = -3*k + r, -3*k = 4*r - m - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16.46 or 306?\nAnswer: 16.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 4*k - 29. Let o be a(4). Suppose r - 109 = -4*v, -o*v + 3*r + 24 = -2*v. Calculate the remainder when 181 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1229*c**3 - 615*c**3 - 612*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6391 + -6385. Solve 105 - 81 = x*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*w + 5*r, 3*w + 9 = -290*r + 289*r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccg when three letters picked without replacement from {g: 1, j: 3, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 l when three letters picked without replacement from bhthkhkthllhptt.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - t - 3*t)*(1 - t - 1 + (23 + 13 + 28)*(-t - 9*t - 7*t)).\nAnswer: -1089*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 9*v = -5*g + 10, -5*g = 4*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -365 or -4020\/11?\nAnswer: -4020\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**8\/2940 + d**7\/735 - d**6\/630 - 28*d**3\/3 + 5. Let z(o) be the third derivative of u(o). Find g such that z(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*v + 534 - 534 + (6 - 4 - 3)*(-2*v - 5*v + 5*v) + 3*v + 3*v - 5*v to the form g + j*v and give j.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -284 - 2*o**4 + 13*o + 134*o**2 + 281 - 135*o**2 as x*o**4 + w*o**3 + t*o**2 + j*o + n and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55392?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1216))*-1 - sqrt(1216)) + 5)**2*-1.\nAnswer: -4880 + 128*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-7\/4)*d*d*d*d\/d**(-6\/11)*(d**(-2\/5))**(-15) assuming d is positive.\nAnswer: d**(431\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c5 + 16?\nAnswer: -ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 7:07 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -38966.2374 and 0.2.\nAnswer: -38966.0374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**5\/60 - 7*h**4\/24 + 5*h**3\/6 + h**2 + 24. Let r be d(-6). Let w = r + -84. Which is bigger: 4\/53 or w?\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -64561.\nAnswer: 1\/64561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 2298?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 47 = -12. Let v(t) = 2*t + 5. Let n be v(0). Suppose -2*s + 58 = -4*q, 4*s - n*q = 8*s - 64. What is the greatest common factor of s and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 906032?\nAnswer: 2, 17, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -936329, -1872659, -2808987, -3745313, -4681637, -5617959?\n\"Answer: m**2 - 936333*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/9, 0, 6, -0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*d = -3*s - 38*d + 800728, 0 = -3*s + 4*d + 800737. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utg when three letters picked without replacement from {t: 1, g: 3, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4848563, -19394236, -43637025, -77576930?\n\"Answer: -4848558*p**2 + p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1153*t + 2*d = 1151*t - 44, 0 = 5*t - 4*d - 77 + 196 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15907 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 13*q**3 - 3*q - 4 + q + q. Let k(j) = j - 9. Let w(a) = 4*a**2. Let y be w(1). Let c be k(y). Let g(n) = -9*n**3 + n + 3. Give c*d(i) - 7*g(i).\nAnswer: -2*i**3 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 6:45 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t**2 + 3*t - 11. Suppose 4*f + 5*y + 7 = 0, -4*f = 10*y - 8*y - 2. Let m(q) = 3*q**2 - q - 43 + 0*q**f + 48. What is -9*m(g) - 4*s(g)?\nAnswer: g**2 - 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 7:16 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 8 - 292 = 0. Let k = n + 62. Solve 2*t - 1\/5*t**k - 5 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (25 - 0) - (-954 - -929)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -1. Put -11, z, 2 in ascending order.\nAnswer: -11, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 15*t - 102. Let m be l(20). Let g = 11 - 11. Put 5, 1, g, m in descending order.\nAnswer: 5, 1, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 3:58 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.3 - -53.2. Let l = 37.85 - u. What is the nearest to -8 in l, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 7) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 45405 (base 10) to base 14\nAnswer: 12793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-2)\/(-6*2)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11125*x**5 - 25*x**3 + 2*x**2 + 169051?\nAnswer: -667500*x**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 704 = 6*i - 4*i. Suppose 2*z + 2*z - 220 = -3*n, -5*n - 3*z = -i. Suppose 5*x = 3*m - n, -5*x + m - 96 = 5*m. Round x to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -234 + -1?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 179, 311, 419, 497, 539, 539, 491, 389?\n\"Answer: -z**3 - 6*z**2 + 157*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4314 = f + 4320, -2*s - 6 = f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 k when four letters picked without replacement from {k: 3, a: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 175 = -2*d, -8*d - 4*u = -4*d - 356. Is d a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + 11. Let d(q) = -q + 34. Let z be d(25). Suppose c = -4*k - 7, 0 = -3*c - k - z + 32. Calculate the remainder when o is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.49 - 0.096. Let t = h + -0.36. What is t rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c**(-15)*c))**(-11)\/((c**(-1\/4)\/c)\/c)**(-18) assuming c is positive.\nAnswer: c**(-367\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -211, -319, -421, -517?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*h - 58*h + 75*h + 72*h + 72*h - 267*h.\nAnswer: -25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 312 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9808 = -13*z - 9600 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/(-6) + (-1)\/(-2). Suppose -2*f = -3*f - t, 3*f - 103 = -5*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -184 - -68. Is d greater than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i - 2 + i**2 - 15 + 8. Let t(q) = 2*q**2 - 13*q - 19. Give -6*t(o) + 13*z(o).\nAnswer: o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 4. Let k be y(5). Suppose -15*l - 86 = 184. Put -3, k, l in descending order.\nAnswer: k, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114963, 229939, 344903, 459849, 574771, 689663, 804519, 919333?\nAnswer: 1034099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 = -3*g - 5*r, 3*g + 2*r - 11 = 0. Let o be (14\/(-6))\/(1\/(-15)). What is the highest common divisor of g and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7) - (sqrt(7) + -5 + sqrt(7) + -1) - (sqrt(7)*-1 + 4 + sqrt(7))) + -1*(-1 + (-1*(0 + sqrt(7)) + -4)**2).\nAnswer: -26 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*i = 90, -4*i = -2*f + 24 + 16. Suppose -f = 2*d - 3*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 376 and 4?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.209 * -0.038\nAnswer: 0.007942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -116564 take away -4330.1?\nAnswer: -112233.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*q - 15*q - 198 - 200 + 589 - 191.\nAnswer: -177*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3920 + 3920.000004262. What is j rounded to 7 decimal places?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101 - -109. Suppose -4 = -u + 4*v, -v + 42 = 2*u + 43. Solve -a - a + j = u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 369. Let u be g(0). Let d = u - -111. Let f = -149 - d. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 + 0*r**2 - 4*r**2 - 10*r**2 to the form d*r + n + x*r**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1224\/(-34)*8\/120)\/((-27)\/(-1170))\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((15\/20)\/(-3)). Let t(p) be the first derivative of -3*p**3 + w*p**3 - 2 + 13*p**2 - 4*p**2 + 15*p**2 + 192*p. Factor t(g).\nAnswer: 3*(g + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 250\/9 or 27?\nAnswer: 250\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**3 - 3*s**2\/2 - 4*s. Let k(i) = -5*i - 2. Let o(y) = 3*k(y) - 2*v(y). Let b(p) = -p**2. Calculate o(b(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562454077 is divided by 961.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-21) - (-40)\/(-14). Let k be (6\/18)\/((-1)\/d). Calculate the remainder when ((-6)\/4)\/(k\/(-2)) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4832953 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1694992 is divided by 338806.\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 15826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v + 98. Let g be y(0). Suppose 5*o = g - 308. Let s = -42 - o. Solve z + s*z = -1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9583*u**3 - 1667*u - 3.\nAnswer: -57498*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2510*i + 38722 - 11112 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039821103?\nAnswer: 4241, 245183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 763050319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**2 - 135*r - 650. Give o(-28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2055258*s**2 - 182*s + 7945 wrt s.\nAnswer: 4110516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4*p - 3*c = 0, 5*p = 4*c - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 25 + 19 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -5 - -10) + (-20)\/5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -16*s + 126. What is o(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 100111110001011100010111?\nAnswer: -100111110001011100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63270 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.858 + 2.08. Let d = -2.778 - i. What is the smallest value in 40, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*o - 29932 + 29933 - 3*o.\nAnswer: -121*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5013 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114694840588 + 114694840541.056470173. Let g = q - 0.056404173. Let s = g + 47. Round s to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*c. Let w be 3 + 4 + 137372\/(-19188). Let n = w - -2\/369. What is the closest to 1 in -1, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -24*s**2 + s - 2. Let i(n) = -68*n - 27. Calculate w(i(b)).\nAnswer: -110976*b**2 - 88196*b - 17525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 807\/92 - -34\/23. Let p = -455\/12 + 3335\/84. Find the common denominator of p and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-60)\/(-14))*(-56)\/(-49).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2509976 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -688 - 0.024.\nAnswer: -688.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 519265?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - g + 13. Let z be a(0). Let b = 546 + -547. Sort b, z, -1\/9.\nAnswer: b, -1\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -66\/17, 15\/286, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*b)*(3 + b - 3) - 2 + 2 - 3080*b**2 + 12 - 12 - 18612*b**2 in the form k*b**2 + v + c*b and give k.\nAnswer: -21694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -744 - -755. Suppose d*t - 673 - 372 = 0. Calculate the remainder when t is divided by 36.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7417551 (base 8) to base 10\nAnswer: -1974121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/42? (a) -1\/4 (b) -45 (c) -2\/7 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 70 + 30. Let r(h) = -h**3 + 7*h**2 + 9*h - 5. Let j be r(s). Solve 23 = 4*z + j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**3 + 4*z**2 - 3. Let d(q) = 10*q**3 + 9*q**2 - 7. Let w be 2\/(-10) - 147\/(-35). What is w*d(n) - 9*i(n)?\nAnswer: -5*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -824 + 2547 - 11*s**2 - 859 - 864 + 0*s**2 - 6*s + 3*s**2.\nAnswer: -8*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -59*g + 4. Suppose -n + c + 2 = 0, -2*n - 3*c - 16 = -0*c. What is the hundreds digit of d(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011010 (base 2) to base 16.\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -9) + -1 + 8 + -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - r**2 - r + 6907. Does 27 divide c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3185641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0866934 - -582?\nAnswer: 582.0866934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 0*y + 4*y - 4, 2*h + 3*y = 20. Calculate the smallest common multiple of 20 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(5\/7)*b)**(-4\/39)\/(b**33)**14)**(-4\/3) assuming b is positive.\nAnswer: b**(168232\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 9 (b) -3\/7 (c) -0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.196 less than -83.446?\nAnswer: -82.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1706, 1678, 1630, 1562, 1474, 1366?\nAnswer: 1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 1. Let w(h) = -8*h - 7. Let c(k) = 5*t(k) - w(k). What is c(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 60858*n - 22991241.\nAnswer: 3*(n - 20657)*(n + 371)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**4 + 4*a**3 + 4*a**2 - 4*a = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 + 4*m - 24*m**2 + 43*m**2 - 2*m**4 - 2*m - 24*m**2 as y*m**3 + f*m**2 + g + r*m**4 + l*m and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 - (-10)\/6. Suppose -t = -k + 1. Suppose 0 = 2*x - x - k. Solve -u = 4*u - 3*s - 13, 0 = -x*s - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 1. Let q(j) = 10*j**2 - 5. Let b(k) = 10*g(k) + 2*q(k). Let w(d) = 137*d**2 - 38*d**2 - 104*d**2. Give b(w(o)).\nAnswer: 250*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 2*k - 308. Let l(w) = w**2 + 3*w. Let g be l(-5). Let p = g - 6. What is the greatest common divisor of p and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ca94aa - 33?\nAnswer: ca9477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*z + 22*z - 3*h - 6, -5*h = 0. Suppose 0*p**2 + 0*p + 0 + 1\/4*p**z = 0. Calculate p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -380 + 395 + (1 - -3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-six ninths of a week?\nAnswer: 51520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -19*p - 400. Calculate g(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r = 25*r - 342. Is 38 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15593 is divided by 156.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u - 384 + 514 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 15. Let q = -5 - b. Let g = q + 3. What is the third smallest value in 5\/2, g, 0.4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 1. Let j(t) = 12*t. Suppose 0*k = -3*k + 18. Let u(s) = k*l(s) - j(s). Differentiate u(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 49434*n. Let h(w) = -2*w**2. Determine h(s(u)).\nAnswer: -4887440712*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g - 24 = -0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 8126264 and 8126265 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, 6, -3, 3 in ascending order.\nAnswer: -3, 2, 3, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 21951?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81 and 675690?\nAnswer: 18243630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -6131, -0.5, 3, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 11*m**2 + 11*m - 11. What is z(-10)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-296)\/36 - 6\/(-27) - -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**3 - 2*z**2 + 1. Let k be w(1). Let r(m) = 1. Let x(n) = 4*n**2 + 8. Let l(p) = k*r(p) - x(p). Find the first derivative of l(i) wrt i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*w - 14, 0*r + r - 3*w = -22. Let p = r - -36. Solve 3*b - p = -b + 2*s, 0 = -2*b - s - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (1 - 0)) + (27 - 25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4*40\/100*(-20)\/16\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -492 (b) -5 (c) 1\/127 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -439902, -438361, -436820, -435279?\n\"Answer: 1541*w - 441443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -40. What is the greatest common factor of o and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 7*b**2 - 4. Let a be o(5). Suppose 3*z - a + 4 = 0. Suppose 3*j + 314 = 2*l, 3 + 3 = -3*j. Calculate the highest common divisor of l and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2581, -5157, -7735, -10315, -12897, -15481, -18067?\nAnswer: -20655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1832, 20, 3, -4, 1, -5 in descending order.\nAnswer: 20, 3, 1, -4, -5, -1832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + b - 8 = 0, -425*d = -429*d + b - 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 971933.026 to the nearest 10000.\nAnswer: 970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/1321 + 117577\/5284. Let v = 22 - b. Let t = -2 + 0. Is v not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 297272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5 + 13*w**4\/2 - 16*w**3 + 37*w**2\/2 - 10*w + 2 = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -232 + -311410?\nAnswer: -311642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.18 - 0.15. Sort 0.5, 1, j in descending order.\nAnswer: 1, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 12*a**2 + a - 2. Let b be h(-5). Suppose -b = -4*o + 323. Is o a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145 + -139. What is the remainder when 71 is divided by u\/16 - 1545\/(-40)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -5195.802765?\nAnswer: -5195.802765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 - 0.5. Let n = 6 - t. Let y = 4.8 - n. What is the third biggest value in y, 1, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 6*d - 17. What is the remainder when 54 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70.8 - -71. Which is the nearest to 0.1? (a) -2 (b) -6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 3, v: 3}. What is prob of picking 1 c and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1637626 is divided by 20703?\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78706321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (585\/(-2))\/5*28\/7. Let u = x + 77. Let c = u - -249. What are the prime factors of c?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrg when four letters picked without replacement from ggrrrrr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/8449 and -27\/60350.\nAnswer: 422450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/((-405)\/(-15) + -13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w - 18*w = 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-7))\/((-6)\/21)*200\/(-75).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 3:32 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1668.8 + -1669. Let r be 2\/(-3) - 23483\/51. Let f = r + 461. Which is the fourth biggest value? (a) 0 (b) v (c) f (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b**3 - b**2 + 1. Suppose -55 = -11*l - 22. Let o be (8 + 150\/(-18))\/(1\/l). Calculate n(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*s - 2 = 16, -6 = -y - 3*s. Let j be -2 - (-1 - (y + -3)). Solve 3*q + 3 = 3*c, 8 - j = 2*c - q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 2*c + 0*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*z + 19. Let a(i) be the third derivative of i**5\/60 - 5*i**4\/24 - 5*i**3\/3 + i**2. Let t be a(z). Put 0.1, 2\/3, t in ascending order.\nAnswer: 0.1, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 16 = 3*n, -2*z = 15*n - 20*n + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2342 is divided by 90.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdhhhhhljhhhjh. What is prob of sequence dhjj?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 2*f - 0*f, 3*f + 9 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (104\/(-14))\/(50\/(-36925))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*w**2 + 250*w**2 - 765*w**2 + 232*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/5 - 315532*r\/5 + 34100784\/5.\nAnswer: -2*(r - 108)*(r + 157874)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 595848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.0666 times 26\nAnswer: -1.7316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 7) to base 15\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27828, 111229, 250232, 444837?\n\"Answer: 27801*h**2 - 2*h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -212001222112 (base 3) to base 6\nAnswer: -13422322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103\/8 - 13. Let g = 4.3 + 0.7. Let h = 4 - g. Which is the second smallest value? (a) p (b) 1\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641077050.\nAnswer: 2, 3, 5, 1013, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -0.3, -4, -8915?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.03 - 4.017. Is n <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w + 7*w + 0 + 8 - 2*w. Let d = -2 - 2. Let p be l(d). Solve 0 = -p*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -60, -52, -28, 18, 92, 200?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (26 + 13*o**2 - 26)*(3 + 1 - 6) + (-o + 5*o - 2*o)*(-1 + 179*o - 1 - 178*o) as d*o**2 + s*o + g and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20955732557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-88)\/(-16) - -2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**6\/120 + 11*v**5\/60 - v**4\/3 + v**3\/2 - v**2. Let h = 74 - 50. Calculate the remainder when a(9) is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 2653761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1092 and -8500586669.\nAnswer: -8500587761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 17. Suppose f + 4 = q, 5*q - 4*q + 5*f - 34 = 0. Let r be x(q). Let z be 4379\/((-3)\/(-3)) - r. Round z to the nearest one hundred.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 227 - 157. What is the smallest common multiple of o and 2?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 329*b - 8 = -325*b, 4*b + 10 = 5*d + 34 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, t: 10}. What is prob of picking 1 k and 1 t?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -477930266 + 281094675. Let c = -134735591 - s. Round c to the nearest 1000000.\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 50, 49, 48, 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 783 a factor of 17704323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/8712 and -23\/252.\nAnswer: 60984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + -1 + (51 - 0 - (84 - 68))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*t**3 - 3)*(-16*t**2 - 1 + 30*t - 30*t).\nAnswer: -32*t**5 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*a - 56*a - 4040 = -15011 for a.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4136, 4133, 4130, 4127, 4124?\n\"Answer: -3*z + 4139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3967872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(384\/(-2220))*2636\/3295?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p = 694 + 506. Calculate the remainder when 397 is divided by p.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmrrqrqqmqqmmqrqqmm. Give prob of sequence qrrm.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/1005 and (-319)\/42 + 6*(68\/12 - 5)?\nAnswer: 14070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -459560324 rounded to the nearest one million?\nAnswer: -460000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**4*(((j\/j**3)\/j)\/j)\/j)\/(j**(-1\/3)*j**(-1\/2)*j)*((j*j*j\/(j*(j\/((j\/j**(2\/3))\/j*j))\/j)*j)**(-16\/5))**(-10\/3) assuming j is positive.\nAnswer: j**(637\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 - 177*n - 4053. Let u(b) = 12*b**2 + 1061*b + 24319. Let f(m) = -38*k(m) - 6*u(m). Factor f(q).\nAnswer: 4*(q + 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -8*m**3 + 2*m**2 + m. Let k be l(-2). Suppose 3*i - 24 = 3*c, -4*i = i + 5*c - k. Solve 5*a = 4 + i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 557ccb (base 15) to base 10.\nAnswer: 4076516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76\/(9\/2 - 4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44\/26167 or 1?\nAnswer: -44\/26167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 12:55 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**4\/3 + c**3\/6 - 9*c**2. Let u = -1 - 2. Is l(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8195 (base 10) in base 13?\nAnswer: 3965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*d - 249, 14*x - 11*x = -5*d + 168. Solve -69 - x = 30*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 8*n**2 + 6*n + 7. What is the remainder when f(-6) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -233, -240, -65, 382, 1191, 2452, 4255?\n\"Answer: 15*j**3 + j**2 - 115*j - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.2147 rounded to one dp?\nAnswer: -55.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892538843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4366 - 4365.87979. Round n to three dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 1 - 2*n + 6. Let i be l(6). Let w = i + 6. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvc when three letters picked without replacement from vvcvcvcvcccvc?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3 + 68\/20). Let k(a) = 2*a**2 + 3*a + 8. Let l(u) = u**2 + 2*u + 4. Let r(m) = z*l(m) - 2*k(m). Factor r(o).\nAnswer: (o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 74\/5 of a hour?\nAnswer: 888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 - 84. Suppose -1409 = 27*n - w*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and (-1)\/(-13) + (-59223)\/(-741).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 1380?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -48. Calculate the highest common divisor of 4 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 192*q**2 - 13*q + 404*q**2 - 212*q**2 + 2 - 12*q**3 in the form a + b*q**2 + u*q + p*q**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - 4) + 48 - 27 - (2 + -23)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 8:47 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18d + c78b?\nAnswer: c5fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05004 (b) 2\/15 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -2002102210001?\nAnswer: 2002102210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-256)\/(-2688))\/(5\/(-7)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186 and 1540082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 240?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1137, 8166, 19889, 36312, 57441, 83282?\n\"Answer: z**3 + 2341*z**2 - z - 1204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4*d = -6, 5*t + d + 10 = -0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 50 + 175. Suppose -4*s + 43 + v = 0. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**4 - 1 - 130*h**3 - 6*h**4 + 136*h**3 - 3*h**2 - h + 2*h**4 + 3 to the form s + n*h**2 + t*h**3 + g*h**4 + r*h and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 + 3*g - 1. Suppose 2*u - 2 = -3*n + 7, 5*u = -n - 10. Let l be y(u). Suppose 0 = -3*c, 2*i + 2 - l = -5*c. Put i, -5, -4 in decreasing order.\nAnswer: i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -2\/13 (c) 0.2 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -30. Suppose 0 = 5*d + 3 + p, a = -4*d + 24. What is the greatest common factor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47037622*d**3*n*r**3 - 2*d**2*n*r + 272*d**2*n - 5*d**2*r**3 - 85*d*n wrt d.\nAnswer: -282225732*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 22230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -813*r = -796*r + 85 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**8\/20160 - j**7\/2520 + j**6\/1080 + j**4\/4 + 2*j. Let i(s) be the third derivative of h(s). Factor i(f).\nAnswer: f*(f - 2)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 - -3.73. Let n = -0.8 + h. Let b(d) = 4*d + 19. Let k be b(-6). What is the third biggest value in 0.4, n, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1677 = -13*h + 1599 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) -0.168 (c) 890\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26900)\/(15\/(-2) + 7). What is n rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37 - 9*y**4 - 37 - 2 + y**4 + 2 + (-2*y + 2*y + 2*y**2)*(y**2 - 2*y**2 - y**2) - 4*y + 4*y - y**4 - 59*y - y**4 + 4*y**4 + 62*y.\nAnswer: -10*y**4 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 54 - 69 = 0. Suppose -2*v - 9*v = z*v. Let a be (-1)\/2 - (-30)\/52. Which is bigger: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -579 + 1794. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llallaallllaaaallai. Give prob of picking 4 a.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03 and -0.83?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5\/8 + 3*y**4 + 129*y**3\/8 - 165*y**2\/4 = 0. What is y?\nAnswer: -5, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43475 and 3515?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/49? (a) -0.6 (b) 1\/4 (c) 0.09 (d) -88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/2? (a) -0.4 (b) 4 (c) -7 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - m**2 + 2*m + 2. Let a be 1 - (-1 + (5 - 1)). Let j be r(a). Differentiate -5 - l**2 - l**2 - 4*l**2 + 3*l**j with respect to l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 172690419?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7787104 is divided by 2595699.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 86395873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(88)*-6 - -2*(sqrt(88) + -2*sqrt(88) - sqrt(88)))\/(sqrt(16)\/(sqrt(648)\/sqrt(9))).\nAnswer: 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 3) + (-46 - (-137 - (13 + -57))).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 + 103. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 80*z - 16. Let u be f(6). What is the third derivative of -464 + u - 16*s**5 - 8*s**2 wrt s?\nAnswer: -960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 2324674?\nAnswer: 2324700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 3*h**2 + 5. Let a be r(-3). Suppose v - 90 = -a*z, 2*z + 2*v = 2 + 26. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40945 + -368501\/9. Let 0 + s*v**3 + 0*v**2 + 2\/9*v**4 + 0*v = 0. What is v?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -9*j + 86. Let v be (3 - 4)*-1 - -2. Let y(u) = 3*u. Let q(k) = 3*k - 1. What is j*q(z) + v*y(z)?\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3714475937 a multiple of 1274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + k, 3*k = -g + 6*k - 6. Let h(i) be the second derivative of -5\/2*i**2 + 0 - 2*i - 1\/6*i**g. What is h(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = n - 6*n. Which is smaller: 4\/27 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8396905 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n = 5*y - 35, 3*y + n - 9 = 0. Suppose -2*q - y*s = -3*s - 4, -4*q = 3*s - 8. Suppose q*b - 57 = 57. Is 25 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3314 = 21*q + 3062 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express i - i + 23*i**2 + 1 - 2*i**2 - 1 + (0 - 1 + 2)*(-3 - 2*i**2 + 3) - i + i - i**2 as b + n*i + h*i**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 102799531.\nAnswer: 616797186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 9. Let u be f(7). What is the closest to -4 in -0.4, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g + 1 + g**2 + 1 + 0*g**2. Suppose 4*a - 35 = 3*h, -h - 3*a = -8 - 2. Determine c(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(24)\/sqrt(3))*-4 + 5 + 2 + (-5 + (-2*(sqrt(117)*1 + sqrt(117)))\/sqrt(9) + 0)**2.\nAnswer: 36*sqrt(13) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r - 2*q - 104, 140 = 5*r - 5*q. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -98, -97, -86, -59, -10, 67, 178?\n\"Answer: h**3 - h**2 - 3*h - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/8 - 165*u\/8 + 1089\/4.\nAnswer: -3*(u - 11)*(u + 66)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5\/4 - 88665*n**4\/4 + 491442378*n**3 - 4421718004*n**2 + 11790184128*n - 7859886336 = 0 for n.\nAnswer: 1, 4, 44328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 77, 84, 95, 110?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(-24))\/n)\/n)\/n*n**(2\/7)*n)**(-11\/5) assuming n is positive.\nAnswer: n**(1903\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + f - 62 = -0*f, 5*f - 16 = -l. Let n(s) = 8*s - 1. Let u be n(-1). Let a = u + l. 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: What is 294859809 to the power of 1\/3, to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 730 - 727. Solve 0 = 4*q + 5*c - 5 + 1, -2*q - n*c = -2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6674 - -6685.249. Round s to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 6 - 2. Suppose o*c = 27 + 13. Suppose -g = d + 3*g, -36 = -5*d - 2*g. What is the remainder when c is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 4*f**2 + 3*f + 4. Suppose -3*p - 2*d = -d - 7, -2*p = -3*d - 12. Determine c(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*u**4 - 376647*u**3 + 1280436*u**2 - 470163*u + 43398 = 0 for u.\nAnswer: 2\/13, 1\/4, 3, 2411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**4\/4 + 677*z**3 - 1374987*z**2\/2 - 2122*z. Factor k(i).\nAnswer: -3*(i - 677)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 268681002 and 5622?\nAnswer: 5622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -6*(6\/(-8))\/((-3)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 - -99. Is n <= 2\/357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) 0.3 (b) -2\/5 (c) -70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 - -121. Suppose 0*c = -5*c - 15. Let n = 14 + c. Calculate the smallest common multiple of b and n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - -0.5. Let m = 0.16 - c. Let n = m + -0.0599994. Round n to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17975*d**4 + d + 14 + 16 + 17977*d**4 + 4*d**3 to the form s*d**2 + y*d + h*d**3 + m*d**4 + r and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -923370830, -923370836, -923370854, -923370890, -923370950, -923371040?\n\"Answer: -j**3 + j - 923370830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 4*n + 64, 4*f + 3*n + 11 = -65. Is -15 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 123 + -113. Suppose -2*d + 3*n + 35 = 0, 1 = 3*n + i. Calculate the greatest common divisor of d and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 2, -65\/4, 21\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - v + 1. Let u be a(1). Let b = 1 + u. Suppose 2*s + 0*s - 30 = b. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55387627*n**3 - 5*n**2 - 385419*n - 2.\nAnswer: -332325762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41733 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6\/(s\/s**(-1))*(s\/((s**(2\/3)\/s)\/s))**43)\/((s*s\/s**(2\/3)*s)**(1\/6))**(2\/71) assuming s is positive.\nAnswer: s**(66662\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-187))\/(10\/(-425))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scdildq. Give prob of sequence qs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 425, 29, 12 in descending order.\nAnswer: 425, 29, 12, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**3\/12 + 55*n**2\/2 - 221*n\/4 + 2328. Let x(p) = 0. What is p?\nAnswer: -221, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 6 - 30, -3*h + 7668 = -4*f. What is the remainder when h is divided by 232?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**2 + 27360*t - 10183100 = 0 for t.\nAnswer: 395, 6445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 6:12 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 2*v - 2, -125*v + 127*v = -2*l + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/((m*m**(4\/19))\/m*m))))\/m**20)\/(m**(-2\/69))**(-3\/5) assuming m is positive.\nAnswer: m**(-44198\/2185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 9:49 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24.2*0.5\nAnswer: 12.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-164)\/32)*(-4)\/(-10)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -463 (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -151, -331, -581, -901, -1291?\nAnswer: -1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.2 (c) -2328 (d) -5 (e) 0.46 (f) 1 (g) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d (base 15) to base 5.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530*d**3 + 270*d**3 - 12 + 262*d**3.\nAnswer: 2*d**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 128926476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3000512616 + -1?\nAnswer: 3000512615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 0 - (-5 + 53). Suppose -243*k + 231*k + 588 = 0. Let b = k + p. Let c(l) = 20*l**3 + l + 1. Determine c(b).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, i: 7, q: 1, w: 6}. Give prob of sequence iwow.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1271 and 403?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - 37. Let x = i - 3. Solve 4*p + x = g - 6*g, 0 = 2*p + g + 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 4:47 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/10, 11, -0.02, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 8*g**2 - 41*g - 53. Give k(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 328, 7, -1, -37 in ascending order.\nAnswer: -37, -5, -1, 7, 328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 512 + 2?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22620 by -4524.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-8 + 18) - (40\/16*2)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141387 (base 10) in base 8?\nAnswer: 424113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 30*y**2 + 25*y - 20. Let r(b) = -20*b**2 - 17*b + 13. Let n(j) = 5*g(j) + 7*r(j). Is n(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = j - 85, 0*y = 2*y - 3*j - 34. Let v(r) be the second derivative of 4*r**3\/3 - 8*r**2 - 396*r + 2. Is v(y) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/1573 and -2\/62557?\nAnswer: 813241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7188 - 5726. Solve -1459*i + a*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 - 8 - -55 - -27.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**3 - 2*c**2 + 2*c**3 - 18797 + 18775 to the form u*c + o*c**2 + v*c**3 + q and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 392519 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o + 0*o + 2*o + o + 4*o - 3*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 283 and 202397355?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p + 8. Let i(x) = -1. Let f(q) = q**3 + 12*q**2 + 9*q - 21. Let y be f(-11). What is y*w(g) + 6*i(g)?\nAnswer: 7*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + (sqrt(847)*-2 - (sqrt(343) + -2)).\nAnswer: -29*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w = -41 - 85. What is the nearest to w in -5, -1\/3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/6*(17 + 2 + (-88 - -66)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0266+261.8\nAnswer: 261.8266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1121 - -10634?\nAnswer: 12055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(608))\/sqrt(2)*-1.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001707213 to seven dps.\nAnswer: 0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 + -100332?\nAnswer: -100354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 15*n**2 - 14*n**2 + 4*n - 12.\nAnswer: n**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2120 divide 1100560559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -20*k**3 - k**2 - 3*k - 1. Let l be t(-1). Solve -26*c + l*c - 5 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57e (base 16) in base 4?\nAnswer: 111332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, m: 1, p: 8, y: 1, z: 2}. Give prob of picking 1 p and 1 c.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3312 and 2070?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10723804?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**2 - 164*a + 54. What is j(-41)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(2156)*-1)\/(3*(sqrt(400) + (sqrt(400) - sqrt(400)*-3)*6 - sqrt(400))).\nAnswer: 7*sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4))**12\/(((i\/(i**(-7)*i*i))\/i)\/(i**8\/i)))\/(i**(-5)\/(i**1\/i)*(i**0\/i)**(2\/21)) assuming i is positive.\nAnswer: i**(86\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 47862185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 j when four letters picked without replacement from pfjffjpffpppp?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-21)\/(-56)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 32044032?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/64 and 55\/256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11130231 (base 4) in base 15?\nAnswer: 692c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 6892. Let q(m) = -5*m. What is q(u(t))?\nAnswer: -10*t - 34460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 0*j + j = 3*q - 61, -10*j - 10 = -q - 2*j - 6*j for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-9)\/5)*(-636)\/53. Let v be 30\/x*(-84)\/(-9). Suppose -17*a + v*a + 135 = 0. What is the smallest common multiple of a and 12?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -679 - 661 - 41750*t**2 + 39076*t - 16882*t**2 + 36*t**3 - 5172 = 0.\nAnswer: 1\/3, 1628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 2*s + 72, 5*a - 5*s = -0*s + 100. Suppose -a*h + 28 = -12*h. Calculate the greatest common factor of 35 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 56*u**3 + u**2 + u - 17. Is z(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**3 + 3*d**3 - 5*d**3 + (780 - 51 + 1100)*(0 + 0 - d**3).\nAnswer: -1827*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5.49, -57.9, -3\/2?\nAnswer: 5.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.36? (a) 1 (b) -43 (c) 0.046\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -1\/3*r**3 - 3*r**2 + 1\/8*r**4 + 0 + 0*r. Differentiate z(i) wrt i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/80 of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z - z - z)*(-28368*z**2 + 56690*z**2 - 28181*z**2 - 13*z) in the form t + r*z + d*z**3 + v*z**2 and give v.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3180 and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(6\/(-9) + 1). Suppose 26 = -u + j*u. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h = -55280. Suppose 4*u + h = 4*i, 26*u - 6896 = -2*i + 21*u. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*f**4 - 47 - 21 + 9*f**4 + 8*f**4 with respect to f.\nAnswer: 100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3013.66 rounded to the nearest 100?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4930000 to the nearest one hundred thousand.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 79086 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + x**2. Let o be i(1). Let b(s) = s. Let q(p) = p**2 - 8*p - 4. Let a(l) = -4*b(l) - q(l). Let j be a(4). Solve j + o = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13043.989 and 13.91.\nAnswer: 13057.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 19 = 5*j, 121*o - 3*j = 238*o - 115*o - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -36 - -128 - (7 - 2). Solve 3*z - 99 + n = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242436, -967378, -2175614, -3867144, -6041968, -8700086?\nAnswer: -11841498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**3 - c**2 + 4*c - 2. Let h be o(3). Suppose 4*j - 2*x - h = 0, 2*x - 6 - 52 = -3*j. Let u = 42 - j. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**3\/7 - 327828*i**2\/7 - 13449948864*i\/7 - 187849772992 = 0.\nAnswer: -81908, -98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**5\/3 - 1330*x**4 + 76538*x**3\/3 + 10238*x**2\/3 - 1240408*x - 6807320\/3 = 0?\nAnswer: -2014, -5, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cteeqtqcttwtv. Give prob of sequence ctv.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2\/p)\/(p\/(p\/p**8)))\/(p**(-1\/3))**(-1\/2) assuming p is positive.\nAnswer: p**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -265*s - 32. Is g(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 7\/24*q**4 + 0 - 1\/6*q**5 + 0*q + 0*q**3 - 8*q**2. What is the second derivative of m(u) wrt u?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 288656086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/((-18)\/(-14 + -94))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -238 (base 14) to base 12.\nAnswer: -30a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 + t - t.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -39, -24, -9, 6, 21, 36?\n\"Answer: 15*n - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 2*l**2 - 8*l + 5*l + 2*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 7) to base 12\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**2 - 10*y + 100 = 0.\nAnswer: -10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*sqrt(567).\nAnswer: -9*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(4 - 4 + 2*w + (-6 + 3 - 2)*(3 - w - 3))*(w**2 + w**2 - 3*w**2) + w**3 + 0*w**3 - 2*w**3.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.9 in -4, 1\/5, 0.3, -13, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5656 * -11.\nAnswer: 62216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 141 + 41 = -d, 4*v + 5*d = 212. Let f be (-2)\/(-6) - 231\/(-9). What is the second derivative of -v*k**3 + f*k**3 + 13*k + 32*k**3 wrt k?\nAnswer: 60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**3\/6 - 5004*o. Let f(r) = 38*r**2 - 4. Determine f(s(u)).\nAnswer: 38*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 703*n - 10*n + 320*n + 2064*n.\nAnswer: 3077*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzqqxqqxxxqxxqzqq. What is prob of picking 1 x and 1 z?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.0364313 centimeters?\nAnswer: 364.313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 409 = -80*y + 9. Let n(s) = -7*s - 16. Give n(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - 3. Let a(j) = -1. Calculate -3*a(t) + 4*f(t).\nAnswer: 8*t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3128 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0949752*27.1\nAnswer: -2.57382792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/3410 and 83\/165?\nAnswer: 10230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6533 (base 8) in base 14?\nAnswer: -1363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-15) + (4\/6 - 0). Suppose 5*i = k + 110, -4*k - 4 = -i - m. What is the second derivative of -i*b**2 + b**2 - 5*b**2 - 12*b wrt b?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/18)\/((-44)\/132).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*1*3*-3. Suppose -u = -4*l + l. Differentiate 3*i**l - 3*i**3 + 7*i**4 - 3 wrt i.\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.9, -0.3, -0.4, 638, 2\/11, 3\/5, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26635 is divided by 13306?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n = 4, 5*a + n - 24121 = 0. Suppose -p = 2*x + 3781 + a, 4*x - 3*p + 17185 = 0. Round x to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124 times -14.97285\nAnswer: 1856.6334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434104 (base 5) to base 12.\nAnswer: 8760","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k + 16. Give w(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*h + 24, 0 = -2*h + 4*q - 3*q - 18. Let k(y) = -y**3 - 8*y**2 - 7*y. Determine k(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 8, 1.\nAnswer: -2, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 0*t - 4*f + 14, -f - 4 = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-10)*k*k**(-5\/2))**(10\/17)\/(((k**6*k)\/(k*k**(1\/9)\/k))\/(k*(k**(1\/3)*k)\/k*k)**23) assuming k is positive.\nAnswer: k**(6212\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-42)*9492\/15820)\/(((-5)\/196)\/5)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1534263954 by 908386.\nAnswer: -1689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 40526.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 545663, 1091321, 1636975, 2182625, 2728271?\n\"Answer: -2*l**2 + 545664*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580*f + 1 = 3*z + 579*f, 0 = 4*z + 3*f + 16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 7*n - 15. Is k(10) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*v - 10, -105*h = -107*h - 4. Is -37\/75 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 3*g + g)*(0 + 0 - 2*g**3)*(4 - 1 + 0).\nAnswer: -30*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (sqrt(128) + 1*sqrt(128)*-3 + sqrt(128) + sqrt(128)))\/(sqrt(2916) + sqrt(4)))**2.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 2449.\nAnswer: 73.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-21))\/((-102)\/(-952)). Which is the nearest to 3? (a) x (b) -0.4 (c) 1 (d) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of 0.051 and 0.2.\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 96 in -3, -0.1, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 8, x: 6, y: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -131751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.054337 tonnes?\nAnswer: 9054337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 + 2*o - 2. Let r(y) = y**2 - 23*y - 22. Let d be r(24). Calculate c(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: List the prime factors of 1395544393.\nAnswer: 1395544393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*f. Suppose f = t + 2*t. Let x(w) = -w**3 + w**2 - w + 5. Determine x(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 201, -7, 3\/31?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1310 and 917.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2004)\/(-1670)*15\/513.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l**4 - 5*l**2 - 4. Let n(z) = 48 - 37 - 3*z**3 + 3*z**3 - 14*z**4 + 14*z**2. Let v(q) = 11*c(q) + 4*n(q). Factor v(t).\nAnswer: -t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4592 and 10414.\nAnswer: 583184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v + 11. Let c be u(9). Let o = c + -20. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**3\/6 - 13*j**2\/2 + 4*j. Let r be d(12). Let p = -38 - -38. Sort r, -3, p in decreasing order.\nAnswer: p, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2553012 and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60018 and 34180251.\nAnswer: 68360502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -455*i - 42197. Give g(-93).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 132953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122 - 39. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 2\/11, 9\/8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 113 + 8. Let j = s + -24. Solve -4*l + 9 = -j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2\/3, 1, -0.8 in descending order.\nAnswer: 1, 2\/3, -0.8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, a: 1, w: 5, z: 1, l: 1}. What is prob of sequence zla?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28531776?\nAnswer: 2, 3, 7, 13, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/17280 and -77\/32040.\nAnswer: 1537920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 15.1, -5\/294?\nAnswer: -5\/294","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one halves of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 8:56 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 130199121*k**4 - 25621923?\nAnswer: 520796484*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41 + 7*n**2 + 31 - 7*n + 3 - 17*n**2 with respect to n.\nAnswer: -20*n - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3275*-132.\nAnswer: 432300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -92*i + 170*i + 3*i**3 - 111*i + (4 - 4 + 2*i**2)*(-3*i + 3*i - i).\nAnswer: i**3 - 33*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3308*u**2 - 49583596*u - 239824.\nAnswer: 4*(u - 14989)*(827*u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 3*q**8\/4 - 37*q**4\/4 + 52*q. What is the third derivative of c(t) wrt t?\nAnswer: 5040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5457\/(-535) + 6\/5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20231018.\nAnswer: 2, 10115509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8466360 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13938898 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3808 divided by 21.\nAnswer: 544\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59594057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 4*x**2 - 2*x + 1. Let q be n(-4). Suppose -4*v + 10 = 2. Suppose v*k - 5 = q. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 - -0.1. Put -0.3, -3\/7, u in ascending order.\nAnswer: u, -3\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1616*l + 1332 = 1653*l. Suppose -1 - 3 = -b. Suppose 0 = -b*a + 120 + 96. What is the highest common factor of a and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1142*j**2. Let m(i) = 2*i**2 - 21*i + 7. Let w(o) = -2*o**2 + 18*o - 6. Let d(n) = 6*m(n) + 7*w(n). Determine d(t(f)).\nAnswer: -2608328*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14101 + -323?\nAnswer: 13223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-16))\/((-741)\/3458).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.5 (b) 0.2 (c) 2 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 850 = 214. Suppose 5*n - t = 63. Calculate the highest common divisor of n and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-46)\/130 + 2\/13. Let u be (8\/(-12))\/((-5)\/(-3)). Which is the second smallest value? (a) u (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -304, -604, -902, -1198, -1492, -1784, -2074?\n\"Answer: n**2 - 303*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1581736, 3163474, 4745212, 6326950?\nAnswer: 7908688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**4 + 2*k**3*w - 347575*k**2*w - k - 399776*w wrt k.\nAnswer: 12*k**2 + 12*k*w - 695150*w","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2991.8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 5:02 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 7*m**2 - 7*m - 7. Let t be h(-6). Calculate the remainder when 5 is divided by (8\/(-12))\/(t\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 12*k + 2408. Let b(y) = -11*y - 2407. Let p(n) = 3*b(n) + 4*t(n). Is p(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u - 12. What is the remainder when g(-68) is divided by 125?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**6\/60 - 11*r**5\/10 - r**4\/12 + 104*r**3\/3 - 11*r**2 + 9*r. What is the second derivative of w(y) wrt y?\nAnswer: -12*y - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 329 = -x, -2 = -2*j + 3*x - 120. Let c be (-6)\/39 - 270\/j. Solve 0*l + c*l + 4 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.166 - 340.166. Let p = 341.22 + t. What is p rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 864.7 - 865. Suppose 4*x - 9 = 15. Let l be (-12)\/(-42) + x\/28. Which is the fourth biggest value? (a) 1\/4 (b) l (c) i (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 17 + 3 + 17*y in the form a + l*y and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -5. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 137, 8, 6, 0 in descending order.\nAnswer: 137, 8, 6, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = -68*t + 86*t. Let y(b) = b - 20. Give y(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2153, 4, 21, -2 in decreasing order.\nAnswer: 2153, 21, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/758, -2, -4, -0.01?\nAnswer: 3\/758","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1693597, -1693594, -1693591?\n\"Answer: 3*y - 1693600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**5\/60 + 5*b**4\/4 - 2*b + 88. Solve a(r) = 0.\nAnswer: 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9 = -h - 9, d = -h + 7. Suppose -h*o = -5*x - 123, 3*x + 65 = 5*o - 233. Let w = o - 34. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 19. Suppose -3*q = -3*u - 11 + 302, 3*q + 286 = -2*u. Let c = q - -184. What is the greatest common divisor of t and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4683 or -9363\/2?\nAnswer: -4683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 1. Let c(o) = 25*o + 7. Give c(a) - 5*p(a).\nAnswer: 20*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -5 + 17. Let h(n) = 5*n**2 - n + 1. Give h(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11606887?\nAnswer: 2351, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a factor of 588801906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) - 18\/20. Let n = 4.3 + -0.3. Which is smaller: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.17212 rounded to three decimal places?\nAnswer: -2.172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3\/(-7) - (-170)\/70 - -201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(1\/2)*s)**31*(s*s**5*s)\/(s**(-3)*s))\/(((s*s\/(s*(s*s**(1\/2))\/s)*s)\/(s*s\/s**(-3\/4)))\/(s*(s\/s**(-2\/5))\/s)**(-1\/8)) assuming s is positive.\nAnswer: s**(3503\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6985614 is divided by 397.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 9*a + 8. Let w be q(8). Let x be 9 - (-1)\/3*w. Suppose 2*n - 7 = x. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 37. Find the first derivative of -12*y**2 + a + 13*y**2 - 2*y**2 wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a + 165. Let o be (-76)\/(-6)*a\/(-22). Let g = o + -7. Calculate the highest common factor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -321, -648, -971, -1290, -1605?\n\"Answer: 2*o**2 - 333*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 + 523*s - 1300. What is q(263)?\nAnswer: -2089","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/561 and -23\/132.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -2, 4, 5, -1, 2.\nAnswer: -41, -2, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 378\/55 - 1273\/110. Calculate the common denominator of r and 71\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4452888 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -118, -115, -112?\n\"Answer: 3*x - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 3. Let v be o(-3). Let d(j) = 4*j**2 - j**2 + v*j**2. Let s(x) = x**2. Determine d(s(n)).\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 74691406 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 3*q - 2. Suppose 0 = u - 5*n - 1, -2*u - 3*n = 3*u + 23. What is the remainder when 34 is divided by z(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 291 (b) 3 (c) -15 (d) -5 (e) 2 (f) -1\/4 (g) -10\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2056150 and 391170.\nAnswer: 80189850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 223778107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + 4*l - 3*l + 1 - 2*l - 1 + (0 + 1 + 1)*(5*l - 3*l - 3*l) + 1 - 1 + l - 63*l + 474 - 474 + 0*l - l + 2*l + 3*l + 2*l - 3*l.\nAnswer: -65*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10732 is divided by 5335?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -183.577601 to one dp.\nAnswer: -183.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k - 20 + 45 - 3*k**4 - k**3 - 23 to the form d*k**2 + t + r*k + b*k**3 + j*k**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -41. Let v = j - 16. Suppose -276 = -v*q - 36. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -251, -372, -429, -374, -159?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - 2*d**2 + 2*d**2)*(0 + 3 + 2)*(-3 + 2 + 0).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2684 - 40262\/15. What is the nearest to 1 in -3, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4593705*-4\nAnswer: -1.837482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 777*z - 774*z = 2961. What are the prime factors of z?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 229\/12 - 58\/3. Let d be 0*(2 + -2 + 1). Let b = -1 + d. Sort 1\/6, b, l.\nAnswer: b, l, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1086*x + 1083*x + 15 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -79*a - 2. Let w(t) be the third derivative of t**5\/60 + 4*t**2 + 1. Determine w(s(q)).\nAnswer: 6241*q**2 + 316*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2356025*r - 2269427 with respect to r.\nAnswer: 2356025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**6\/30 + h**3 - 6*h. Find the second derivative of i(t) wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97597\/2 + -46785. Let s = 1966 - m. What is the common denominator of -85\/18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*5\/(-120)*2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 22986969 and -0.01?\nAnswer: 22986969.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/20? (a) 5 (b) 0.5 (c) 116\/3 (d) 1 (e) -0.5 (f) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*m + 2 + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23478?\nAnswer: 2, 3, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 + 13*(33 + (-10)\/5).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12 - 0)\/((-9)\/6). Let r(o) = 2*o - 17. Let h(n) = -n + 16. Let j(s) = -6*h(s) - 5*r(s). List the prime factors of j(a).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93945 is divided by 31311.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(42\/117) + -5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 1:00 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12 - 6)*(2 + 6). Let l = 71 - o. What are the prime factors of 65\/4 + l\/(-92)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 890*w - 18. Let t(q) = 901*q - 14. Determine 4*f(u) - 5*t(u).\nAnswer: -945*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5*w = -35, -174190*o - 3*w = -174186*o + 45 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53357 (base 9) to base 10.\nAnswer: -35287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 16*g. Let o(v) = 8*v - 33. Let y(n) = 3*n - 12. Let w(p) = 4*o(p) - 11*y(p). Calculate -k(l) - 6*w(l).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, -13, 1 in increasing order.\nAnswer: -13, 1, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -705, -767, -863, -993, -1157?\n\"Answer: -17*r**2 - 11*r - 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 1\/((-99)\/192). Let c = j + 43\/165. Let m = 1079.9 + -1079. Which is smaller: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from fefbrpfwwfbwf.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 427125 divided by 18.\nAnswer: 142375\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n**2 + 11*n - 4. Let y(d) = -9*d**2 + 12*d - 5. Let w(q) = 5*k(q) - 4*y(q). Let a be (-2 - 0)\/(-2) - 7. Calculate w(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 0*p**6 + 2*p**2 - 17\/6*p**3 + 0*p**4 + 0 + 0*p**5 - 1\/70*p**7 + 0*p. Find the first derivative of g(r) wrt r.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -3*g - y, 3*y - 15 = 4*g - 2*y. Let o be 2\/(-5) + 1\/g. Let l = -1324 + 1329. What is the third biggest value in -1\/9, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -159*l**3*y**2 + 127*l**3 + l**2*y**2 + l + y**2 wrt y.\nAnswer: -318*l**3*y + 2*l**2*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12107 + 833*w + 12107 - 5434*w to the form y + l*w and give l.\nAnswer: -4601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = p - 780, 2*a - 46 = -5*p + 734. Suppose -120*f = -135*f + a. What is the smallest common multiple of f and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 33 = -l, -14 + 6 = -2*k. Let p be -1*((-2)\/6 - 200\/3). Suppose -p = -2*n - l. What is the greatest common divisor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9475*f**2 - 20172*f wrt f?\nAnswer: 18950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 7:17 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 35*h + 20. Let n(q) = -2765*q - 1575. Let l(j) = -315*i(j) - 4*n(j). Let p(w) = -12*w**2. Calculate l(p(k)).\nAnswer: -420*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t + 3. Let r be (-60)\/18*(-9)\/5. Suppose -4*f = -f - 4*i - 14, -4*i - r = f. What is v(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377720809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, s: 4, l: 2, x: 9, q: 1}. What is prob of sequence sxe?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 159668479*y**4 - 234584*y**2 - 192.\nAnswer: 3832043496*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, x: 3, d: 7, a: 2, c: 6}. Give prob of picking 4 c.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by 628321.\nAnswer: -66\/628321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0*f**3 + 1\/112*f**8 + 0*f + 0 + 0*f**6 + 0*f**4 - 1\/12*f**5 + 0*f**7 - 4*f**2. Find the third derivative of h(a) wrt a.\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12350 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*h + 9, -2*m + 7 = -7*h + 4*h. Suppose 9*t - 38 = -m. Solve 3*b = -t - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**2 + 3110*j + 483605 = 0.\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1805017814.\nAnswer: 2, 902508907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1043*v - 1050*v + 2093*v - 778*v**2 + 194*v**2 + 192*v**2 + 197*v**2 + 194*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4) + (-261)\/(-12). Let a = -29 + t. Let f = 13 + a. Calculate the remainder when f is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/8? (a) -1.8 (b) 5 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 4*l - 8. Let b(i) = i**2 + 4*i - 6. Let o(g) = 3*b(g) - 2*v(g). Let m be 26\/8 - 2\/8. Suppose -4*y + 3*y = -m. What is o(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55\/78 + -7\/13. Let v = -61 - -63. Put 4, c, v in descending order.\nAnswer: 4, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**4 - 2*p**4 + 0*p**4)*(-1069 + 3307 + 792 + 1725 + 502) as y*p**4 + z + w*p + q*p**3 + x*p**2 and give y.\nAnswer: -10514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 20*x + 3145. Determine h(35).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -668376 - -0.1?\nAnswer: -668375.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5581314*i*p**2*y - i*p**2 + 458*i*p*y - 3*i*y - 29*i + p**2 + 2*p*y + 2*p - 271*y wrt p.\nAnswer: -11162628*i*y - 2*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*4\/4*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1299 = -8*v - 4637. Let d be v\/21*6\/4. Let p = d - -57. Which is the second smallest value? (a) p (b) -4 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66003 + 66003 + 4*i - 163*i**2.\nAnswer: -163*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgabj. Give prob of sequence gba.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5358947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a day in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7\/3, -1\/5, 94, -3, 2\/3 in descending order.\nAnswer: 94, 7\/3, 2\/3, -1\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -333, -238, -145, -54, 35?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 539 + -547. What is the third biggest value in -0.5, h, -0.01?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8*x**3 - x**2 + 9*x - 13. Let v(n) = -7*n**3 - n**2 + 9*n - 14. Let l(m) = 4*u(m) - 5*v(m). List the prime factors of l(5).\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0068 and 0.2.\nAnswer: 0.00136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/(-2))\/(26\/(-39)) + 253\/56 and -3\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288775260 by -849339.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1742899, -3485759, -5228633, -6971527, -8714447, -10457399?\nAnswer: -12200389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29ce0 (base 15) to base 4.\nAnswer: -200312013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3546411 to the power of 1\/2, to the nearest integer?\nAnswer: 1883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*s - 11975, -2*s = -0 - 2. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 - -111. Let z = 53 - t. Suppose z = 2*l - 77 - 11. Calculate the smallest common multiple of 28 and l.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-2)\/2)\/(1\/2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1401 or -39254?\nAnswer: -1401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -5 (b) -1 (c) -3\/2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 + -1.05. Let f = 6.3 + -6.03. Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 18. Let g be z(20). Is 27 a factor of 81 + 0*1\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177145219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23)\/(-5) + 16\/40. Suppose 2*y = -2*o + 2508, 20 = d*y - y. Let s = -572 + o. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - 205. Let o = 229.94 + r. Let b = 0.06 + o. Put b, 5, -1\/3 in descending order.\nAnswer: 5, b, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4680 and 99060.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - z - 1. Suppose -y - 2 = -5. Let r be (2\/(-6))\/((-2)\/6). Let o(a) = -a**3 - 3*a**2 + 3*a + 1. Give r*o(i) + y*u(i).\nAnswer: -i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 14, t: 4}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**5\/60 + x**4\/4 - x**3\/2 + 20*x**2. Let n be ((-4)\/(-9))\/2 + 196\/9. Suppose -3*f = n - 34. What is m(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, 1, -504?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0 = -8. What is the remainder when 11 + 2 + (-3 - -1) is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 2 - -2)\/2. Let b be u\/(1\/(-4 + 3)). Let x be (-1 - b)*(-13)\/(-26). Solve 4*p + 6 - 13 = 3*v, -4*p - v - 13 = x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -219.8 - -220. Sort 61, -0.3, t.\nAnswer: -0.3, t, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3320\/2324)\/(8\/14)*(-1)\/3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from {x: 8, a: 2, t: 4, y: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/10)\/((-1)\/(-5)). Let o(z) = -z + 7. Let u be o(5). Suppose 36 = u*p + g*p. Calculate the remainder when p is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6530*x**2\/13 - 1014*x - 4228\/13.\nAnswer: -2*(5*x + 2)*(653*x + 1057)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**4 - q**2 - 5*q + 2. Let y(v) = 2743*v**4 - 2456*v**2 + 20*v - 8. Let w(x) = 4*o(x) + y(x). What is the third derivative of w(s) wrt s?\nAnswer: 65736*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/15*6\/6\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - b**2 + 5*b - 8. Let t be f(3). Let p = t + -15. What is the remainder when 38 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*f**2 - 3*f**4 + 16*f**2 + (-2*f**2 + 2*f**2 - f**2)*(4 - 4 - 2*f**2).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 22169 = 1469. Calculate the smallest common multiple of m and 1350.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, 93, 0.17, -42, 7?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.66, 1\/25, 0, 236, -5.\nAnswer: -5, -0.66, 0, 1\/25, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agg when three letters picked without replacement from {a: 2, g: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 19 + 1 = -8*k, 4*y + 386*k + 1926 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**4 - 708*s**3 + 4545*s**2 + 60036*s + 96180 = 0.\nAnswer: -5, -2, 14, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -t - 2*u, t + 147*u = 146*u + 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -823, -829, -835, -841?\n\"Answer: -6*o - 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 6*b = -h + 1, 6*h - b + 33 = 0. Let o(q) = q + 6. Give o(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(48) + sqrt(48)) + 3 + sqrt(432) - ((sqrt(144) + -2*sqrt(144)*-1 + sqrt(144) + sqrt(144))\/sqrt(3) + -5)**2.\nAnswer: -1223 + 204*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/88 and 17\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 11:05 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 95297.74 micrograms in nanograms?\nAnswer: 95297740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*j + 2*g - 12, 2*j = 2*g + 10. Let m = j - 1. What is the highest common factor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8*l + 5. Let q(b) = 2*b - 1. Let n(f) = 18*q(f) + 4*y(f). What is the remainder when 75 is divided by n(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120 + -118. What is the third derivative of -x + 29*x**5 - 35*x**m - 123*x**4 + 123*x**4 + 2*x wrt x?\nAnswer: 1740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2477286?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/2968 and -47\/61480?\nAnswer: 430360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 2:21 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -861305.3 * -0.032\nAnswer: 27561.7696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 4*j + 6918 = 6838, -k - 16 = -j for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/50*(-125)\/75?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 217\/45*(-6)\/(-21). Let o = -16\/9 + m. Let b = 10 - 15. What is the nearest to 2 in -1\/4, b, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/9 (b) -0.1 (c) 0.05 (d) 1486 (e) 33 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23400471 to 2 decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*y + 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 17 + 5. Suppose 0 = -b + l - 0. Suppose 2*q - 24 = 5*x - x, b*q = -2*x + 4. Solve 2*s - q = 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 8) to base 3\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 850\/375*(-6)\/(-4). Let q(d) be the first derivative of z*d**5 + 0*d + 0*d**2 - 4*d**3 + 0*d**4 - 8. What is the third derivative of q(k) wrt k?\nAnswer: 408*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y. Does 4 divide z(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 7*x**2 - 2*x - 14. Let p be f(-7). Solve 4 = -p*t - 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8069\/7 - 1149. What is the common denominator of h and ((-51)\/(-6))\/((-165)\/(-66))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 35*k + 188. Let a be (-9 + 11)*(10\/(-4) - 0). Let d be r(a). Calculate the greatest common factor of 351 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + 2c55?\nAnswer: 2c49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -1)*(-26)\/676 - 7854\/(-1001).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347088764.8 minus 2?\nAnswer: 347088762.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 2*n - 5, 5*g - 2*n = -58. Let d(a) be the first derivative of a**2\/2 + 883. Determine d(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, f: 7, w: 5, q: 6}. What is prob of picking 2 q?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + ((1*sqrt(84))\/sqrt(3)*3 - (sqrt(28)*6 - (-3 + (sqrt(28) + sqrt(7) - sqrt(7))))*-1))*-3)**2.\nAnswer: 864*sqrt(7) + 16209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5*b**4\/6 - 25*b**3\/6 + 20*b**2 = 0?\nAnswer: -8, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 746 - 744. Let j be 7\/h + -2 - (-5 - -1). Solve -1\/2*p**3 + 9\/2*p**2 + 21\/2*p + j = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 19304*s = 3*k + 19309*s + 98, 0 = -s - 19 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -950*s = 3003 + 104139 + 8758 for s.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*w**5 - 4*w**5 - 6*w**5 - 2 + (-1 + 3*w**2 + 1)*(-8*w**3 - 27*w**2 + 27*w**2) - 3*w**5 + 5*w**5 + 6*w**5.\nAnswer: -14*w**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 26*y**2 + 24*y + 12. Let h be a(25). Suppose 30 = 3*d - 3*s + 4*s, -s - 14 = -d. Let n = h + d. Sort n, 1, -3.\nAnswer: -3, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -197, 0.23, 0.3?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y*y**0)))\/(y*y\/y**(-6)))\/((y*(y**(-4)\/y)\/y)\/y**(-1\/4)))\/((y**0)**(-4\/7))**39 assuming y is positive.\nAnswer: y**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/153)\/((-117)\/153)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z + 5. Let l(g) = -1. Give -4*l(t) - w(t).\nAnswer: -6*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2)\/((-15)\/(-210)). Suppose -6*u = u - r. Suppose 5*i + 5*n = 20, -i = -5*n - 6 + 32. Which is the nearest to -4? (a) 2\/9 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7542 and 382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-18)*(-138)\/(-253).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, u: 9}. Give prob of picking 1 u and 1 x.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0, 0.0048, 5, -0.3, 34?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19257, -19258, -19259?\nAnswer: -19260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -263770000 to the nearest one million.\nAnswer: -264000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 644 and 961492.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.001968 and -2860.\nAnswer: -2860.001968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 401 - 403. Let x = -225 - 477. Does 21 divide x\/(-7) - b\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 235, 250, 291, 370, 499?\n\"Answer: 2*t**3 + t**2 - 2*t + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 + 4*l - 2. Suppose 4 = -2*s - 0*s - g, -4*g - 2 = s. Let a be p(s). What is h in 80 + 16*h + 5*h**a - 22*h + 46*h = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 25 and -88766781.\nAnswer: -88766756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 11:51 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2728 and 4610?\nAnswer: 6288040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 x when three letters picked without replacement from {x: 2, m: 2, f: 1, e: 1, y: 1, b: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3. Let f be u(2). Suppose -5 = -5*y, -23 = -5*m - y + 43. Let p = -5 + m. What is the highest common factor of p and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 100 = -5*w, -2067*j + 2070*j = -4*w + 88. Solve -16 = j*r - 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 6*l + 7. Let c be k(-5). Let v(d) be the first derivative of d + 5\/4*d**4 + 0*d**3 - d**2 - c. Determine v(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 18.3. What is the smallest value in z, 0, 2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 9 + (-6 - -5) + -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.89 + 32986400291?\nAnswer: 32986400290.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 342.98975 - 343. Round g to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 5. Let f be c(8). Suppose 0*p - p - 61 = -f*j, -73 = -3*j + 4*p. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -796*s**2 + 796*s**2 - 3*s**3 - 2*s**4 - 2 to j*s + b + f*s**4 + o*s**3 + g*s**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 r, and 1 b when three letters picked without replacement from {c: 2, b: 1, r: 1, d: 1, e: 1, l: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -300 + 327. Let d(s) = -s**2 + 27*s + 3. Let g be d(t). Solve 1 = -f - 3*p, 4*f + g*p - 4 = -p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/10*36\/21*(-390)\/156.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k + 1. Let q be g(0). Does 38 divide (-1)\/((-2)\/168) + (q - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 6*g + 33. Let c be f(-7). Solve -10*n + c - 10 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 25 + 25 + 11*m.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 1. Let t(i) = -5*i**2 + 7*i + 7. Determine 14*q(o) - 2*t(o).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 449777?\nAnswer: -3\/449777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -957 + 317 = 40*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x**4 + x**2 + 75838 - 75816 - 3*x + 0*x**2 + 0*x**2 - x**3 to p + c*x**2 + r*x**3 + v*x**4 + z*x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 723 > 724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + sqrt(19) + (sqrt(19) + 4*sqrt(19))**2 + 4*(sqrt(19) + (sqrt(19) + 1 - sqrt(19)))**2 + sqrt(57)\/(sqrt(3)*1).\nAnswer: 10*sqrt(19) + 558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 281 and 2.\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.1 (c) -12 (d) -1\/2 (e) 0.2 (f) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/(3 - (-436)\/(-144)). What is the highest common factor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11498 + 11500. Let p be (1 - (1 + -6)) + -2. Let h = -6 + p. Put -10, h, -0.4, t in descending order.\nAnswer: t, -0.4, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59 + 59 + v - 5*v to z + s*v and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2 - 2 + 5494*d**2.\nAnswer: 5494*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 1899.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28080, -28075, -28070, -28065?\nAnswer: -28060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, 47, 102, 179, 278?\n\"Answer: 11*l**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2878*y**2. Let x(g) = 3643*g. Determine u(x(f)).\nAnswer: -38195230222*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2359871 is divided by 98327.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -486767000 rounded to the nearest one million?\nAnswer: -487000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from mpppikf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(325) - (sqrt(78) - -4*sqrt(78))\/sqrt(6))*-6.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**4\/6 + 7*k**3\/6 + 22*k**2. Suppose -11*h = 86 - 141. Determine y(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 706 - 670. Suppose 0 = y*l - 8*l - 35196. List the prime factors of l.\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 621425345 + -621425380.0000061. Let w = x + 35. What is w rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s**3 + 2 - 2)*(1 + 3 - 2)*(-2*s + 3*s + s) to i*s**3 + u + v*s + o*s**4 + x*s**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 205 + 117?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 less than or equal to 565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 + 675*g + 567*g + 326*g + 36 in the form t + d*g and give d.\nAnswer: 1568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 404500495?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -25\/6 (b) 2\/7 (c) -2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 5*m**2 - 3*m - 2. What is u(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**6\/20 - 53*p**4\/24 - 560*p**3\/3 - p**2 + 82*p. Differentiate d(h) wrt h.\nAnswer: 18*h**2 - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/(-30))\/(4\/10)*-116. Let x(q) be the first derivative of 174*q + 5 - 2*q**2 - o*q. Let z(l) = 3*l**2. What is x(z(p))?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/9)*a*a*a*a**(6\/7))**(-1\/31) assuming a is positive.\nAnswer: a**(-229\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83.2 + -81.2. Let z = -319 + 312. Which is the biggest value? (a) -0.5 (b) z (c) t (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjeabeatjjtjejjjju. Give prob of picking 2 e, 1 b, and 1 t.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/30 and -97\/126?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 155575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111139 is divided by 122?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -5 (c) 10 (d) 2 (e) 19.93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t - t + 0*t)*(14 + 15 + 7) to the form r*t + o and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(117)\/(sqrt(9) - (sqrt(45) + sqrt(405))\/sqrt(5)).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**6\/120 - x**5\/20 + x**4\/12 + 6*x**2 - 2. Suppose d(p) = 0. What is p?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(2) - sqrt(2)) + 3.\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 6:04 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(4\/5)*f)**9*(f**(-3\/8)*f)**(3\/22) assuming f is positive.\nAnswer: f**(22251\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -88*k + 279 + 1213 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-52)\/60 - 2\/(-3). What is the smallest value in 2, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/96 and 48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2. Let m be (9\/(-27))\/(p\/30). Suppose 3*z - 3 = -5*v + 27, -12 = -2*v - m*z. Calculate the remainder when 23 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + -5*(sqrt(72) + 0)*3)*-4)**2*3.\nAnswer: -8640*sqrt(2) + 777650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39840)\/(-34528)*(-6)\/5?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**2 + 4*v + 5. Let o(a) = 6*a**2 + 4*a + 5. Let x(c) = -5*k(c) + 6*o(c). Let i be x(-4). Solve -3*y - 4*t + 1 + 0 = 0, -4*t = i*y + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252.56 rounded to 0 decimal places?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245090, -980359, -2205818, -3921473, -6127330?\nAnswer: -8823395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -174772, -349550, -524328, -699106, -873884, -1048662?\n\"Answer: -174778*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9002766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, 94, 333, 772, 1465, 2466, 3829, 5608?\n\"Answer: 9*w**3 + 19*w**2 - 27*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 7*u**2 + u + 5. Let y be b(-7). Suppose 1 = -2*f + 11. Is 21 a factor of (28\/f)\/(y\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - 2. Let n(j) = j**2. Let z(m) = 8*m**2. Let t(r) = u*n(r) + 2*z(r). Suppose -d - d + 5 = g, 0 = 2*d - 4. Give t(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1017 plus 19?\nAnswer: -998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 898*n + 97790 = 1446*n + 1293*n - 10829 for n.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (18390\/24)\/(10\/96)?\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-3 - -4 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-8 - -18) + 5\/35.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 2:00 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/109494?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5.8, -2, 5, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n - 13. Let s(t) = t**3 - 6*t**2 - 3*t + 9. Let g be (6 - -9)*2\/5. Let x be s(g). Let u be p(x). Solve 4 = -2*c + 2*i, -23 = 3*c + u*i + 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmx when three letters picked without replacement from xxllngzmnmlnnz.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from cscsccccscccccscsss.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6311\/5574 + 32\/929. Put b, -85, -5 in decreasing order.\nAnswer: b, -5, -85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = b + 4*b. Suppose -b*v + 3*v = -3. Let s(g) = 14*g + 14. Let l(q) = -5*q + 3 - 4 - 4 + 0. Determine v*s(w) + 8*l(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1775*m + 100236 - 252886 = 0 for m.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -1 (b) -2 (c) 761521 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9992973499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*l**3 - 2*l**2 - 70 wrt l.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 622, -63, -4 in decreasing order.\nAnswer: 622, 4, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/6)\/(2\/(-268)). Let h(k) = k**2 - 13*k + 11. Let s be h(5). Let d = s - p. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -1. Suppose -2651 = -u*b + 1504. What are the prime factors of b?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*i + 12 = -3*i, 2*i + 2 = 0. Let v be (o\/(-27))\/((-2)\/(-18)). Let r(j) = j**2 - 2*j - 2. What is the remainder when 36 is divided by r(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -196 - -107. Let h = -88.99999916 - t. What is h rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 4:29 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*g - 4*g + 57 = 0, 4*t + 2*g - 54 = 0. Solve -28 = 8*f - t*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 6*l**2 - 7*l + 4. Let b be h(4). Let u be (-1)\/(b\/4)*0. Is -1 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*t = -7630089 - 1778375. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2*p = 14, -3*o - 8*p + 10 = -6*p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**2 - 124931*w. Let f(g) = 15*g. Give z(f(u)).\nAnswer: 1350*u**2 - 1873965*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 421 = -11*v + 5*q, -4*v + 3880*q = 3875*q - 136 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 1\/4, 4\/7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (140\/(-14))\/(-20) - (10\/15 + (-25)\/60)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2) - 5\/18. Let r = -26.1 - -22.96. Let k = 0.14 + r. Which is the second smallest value? (a) j (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/126 and 103\/126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c + 45 = 2*q, -3*c = -q + 48. Which is smaller: c or -0.07?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 19. Solve 12 = -4*h - 5*l + l, -d*h - 4*l = 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172234 - -63544. Let m = 108685.70099 + o. Let q = m - -4.3. What is q rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1082*a - 913*a - 2028 = 0 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 30 - 10. Suppose -4*o - s = -14, 3*o + o - 6 = -u*s. Solve z - o = -5*k + 10, 5*z + k = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuxvvxvuxxuvxxvxvu. What is prob of picking 1 u, 1 x, and 1 v?\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -3107\/549?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 q when three letters picked without replacement from qnqonnnqoqnn.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*k - 2*k. Suppose -2*n + 1 = h, k*n + 3*n - h = -1. Let w(g) = -3*g + 50. Does 6 divide w(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 37 + 159 = 5*h, -4*h - f = -161. Let y(z) = 3*z + 78. Calculate the lowest common multiple of 27 and y(h).\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2461160 or -2461161?\nAnswer: -2461161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10519, 10167, 9813, 9457?\n\"Answer: -l**2 - 349*l + 10869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34893421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 77484774 divided by -4078146?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -28, 118035.\nAnswer: -28, -3, 1, 118035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10)\/(a*a*a**(-4)\/a*a))\/(a**(2\/7)\/(a*a**(4\/11)*a)) assuming a is positive.\nAnswer: a**(-456\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1314 by 4.\nAnswer: -657\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3461*p. Let n(b) = -b**2 - 1606*b. Calculate f(n(u)).\nAnswer: 3461*u**2 + 5558366*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28191 is divided by 26558.\nAnswer: 1633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734627 to the power of 1\/2, to the nearest integer?\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 1:12 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 16 - 51 + 5)*(-95*x + 360 - 362 + 301*x) in the form d*x + v and give d.\nAnswer: -12154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -64, -1, 0 in descending order.\nAnswer: 2, 0, -1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 2. Let r be -4 + -5 + g\/(-2). Suppose 1 + 1 = -d + b, 5*b + 32 = -2*d. Are d and r non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(102) + sqrt(102) + sqrt(102)*1*5 + sqrt(102) + sqrt(102)))\/(-1*sqrt(600)*5 + sqrt(600)).\nAnswer: 9*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 56171768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - -9 - (1 - -5). Determine z, given that -2\/5*z**3 + 0 - 6\/5*z**x - 4\/5*z = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -30. Suppose 2*b + l = 6*b. Suppose 696 = -b*w + 6*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78987745.9999825 - 78987877. Let c = -131 - v. What is c rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (33 + 218 + 70)*((7 - 7 + 4*t)*(3 - t - 3) + (-2*t + 0*t + t)*(t + 0*t + 0*t) + 3*t**2 - 4 + 4) as y*t + i*t**2 + v and give i.\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34315321 (base 6) to base 9.\nAnswer: 1873374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*z + 5 = -0*g, 0 = -5*g + 2*z - 35 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/11 or -1.473?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 945*h - 2792*h - 1612*h - 39659 = 12226 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3 + 1. Suppose -15 + 0 = -5*o, s + c*o = 13. Let j(u) = 3*u - 8. What is the tens digit of j(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -311*f**3*l**2 + 72480*f**3*l + 479*f**2*l**2 - f**2*l wrt l?\nAnswer: -622*f**3 + 958*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3130 divided by 61.\nAnswer: 3130\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-13)*x*x\/(x*x**11)*x*(x**26)**(-1\/6))**(-31) assuming x is positive.\nAnswer: x**(2449\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 14*z**2 + 27*z + 16. Let b be s(12). Calculate the highest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2155948*f**4 - 89*f**3 + 844*f**2 - 3732*f wrt f?\nAnswer: -51742752*f - 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*((-50)\/5 - -9). Suppose 56*k - 57*k = 2*b - 808, b - k - 410 = v. What is the highest common factor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*d*l**3 - 10*d*l**2 + 8*d*l + 4*d + 100*l**3 - 2*l**2 - l + 31 wrt l?\nAnswer: -48*d*l - 20*d + 600*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z = 26*z - 7*z - 14444034. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - o**2 - o - 5. Determine r(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17833 is divided by 511.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63740 + 63737. Let p = -8 - -13. Let g = -4.6 + p. What is the second smallest value in -2\/7, a, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*o - 632 - 216, 4*o + 3*v - 1164 = 0. Suppose f - 4*i = 117 - 20, 4*f - o = -4*i. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 0.1622, 291 in increasing order.\nAnswer: 0.1622, 0.6, 291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0158272367 rounded to four decimal places?\nAnswer: -0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3735*h**4*z + 9*h**4 + 6*h**3*z - 5*h**3 - 4*h**2*z + 3*h**2 - 6076803*z + 1 wrt h?\nAnswer: -89640*h*z + 216*h + 36*z - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10390, 1\/180, -24?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 73 + 8*5\/(-10) + 0. Calculate the greatest common factor of 46 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*x + 3*y, x + 4*y + 19 = 11. Let a(z) be the third derivative of 3*z**2 + x*z**3 + 0 - 3\/8*z**4 + 0*z. Give a(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 22792185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 14. Let w = -21 - j. Let o(s) = 2 - 2*s**3 + 7*s - 2*s**2 - 7*s. Let y(p) = 9*p**3 + 9*p**2 - 9. Determine w*y(n) - 26*o(n).\nAnswer: -2*n**3 - 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -2)*(-2 - -2). Suppose -2930003 = s - 3*x, -3*s + s + 2*x - 5860002 = w. Round s to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4203 = v, f - 2*v = 172 + 872. Calculate the remainder when f is divided by 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2149 + 1359. Sort -1, -5, s in decreasing order.\nAnswer: -1, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -264236, -264312, -264388, -264464, -264540, -264616?\n\"Answer: -76*c - 264160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 + 9*v - 51 - 36)*(v**2 - 2*v**2 + 3*v**2).\nAnswer: 18*v**3 - 284*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -86.3, -7, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -62?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -44*r - 304. Calculate q(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*w = -72*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 294\/37, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/9*d**3 + 0 - 16\/9*d + 0*d**2 = 0 for d.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.33 - 26.7. Let h = v + 1.5. Let s = h + -0.130045. Round s to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1413281*r**4 + 3*r**3 - 30099*r**2 + 6.\nAnswer: 33918744*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/15392 and -79\/1872?\nAnswer: 138528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.791987 - -5088.32.\nAnswer: 5089.111987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**2 + 4*g + 3. Calculate the remainder when (1422\/(-45))\/((-232)\/580) is divided by o(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 2. Let j be c(0). What is the tens digit of (-4)\/(j\/(5 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 11:59 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -180449*i**2 - 2*i - 26982 wrt i.\nAnswer: -360898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-7 - -3) + (-2 - -5)) - 17.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 200630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32710 - -32709.8. What is the second biggest value in -0.543, f, -4?\nAnswer: -0.543","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -713 = -17*w + 137. Find the first derivative of -51*g - w*g - 54 + 17*g - 104 wrt g.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (146 - 146 - 92*w)*(-2*w**2 + 5*w**2 - 4*w**2) to the form b*w**3 + l + y*w + p*w**2 and give b.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.1 - 7. Let v = 1.4 - a. What is the nearest to v in 3, -3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 691483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 121 = -m, 234 = 2*n + 10*m - 8*m. What is the remainder when n is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1 + 4 - 2 - 68*r. Does 23 divide b(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -0.3 (b) -0.1 (c) 1 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 224 and 1501568.\nAnswer: 10510976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11 + -3 + (2 - 7). Suppose -492 + 81 = -3*j - p*c, 3*c = 4*j - 555. Calculate the highest common factor of j and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4194 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 52.0136627445\nAnswer: 52.2136627445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, 8.3, -4\/7, -0.1 in descending order.\nAnswer: 8.3, 4, -0.1, -0.4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -17*h**4\/6 + 23*h - 2. Let o(i) be the third derivative of -i**5\/20 - 158*i**2 + i. Calculate r(o(c)).\nAnswer: -306*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - n - 46 = 0, -506*l = -507*l - 4*n + 50. Solve 1280*q - 1277*q = -l for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 47, 76, 115, 170, 247, 352?\n\"Answer: f**3 - f**2 + 25*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.061, -882, -20?\nAnswer: -882","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(18) + (-1*sqrt(2))**2 + sqrt(2) + 3)*1.\nAnswer: 5 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 1:12 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmdg when four letters picked without replacement from {t: 3, d: 3, g: 8, m: 3}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + 12. Let n = 0 + v. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 341 and 3299423?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 7*h**2 + 228*h + 147. Calculate m(-19).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22603 - 22601 + 3*i**4 - 9*i**4 + 16*i**3 - 9*i**4 + 6*i**3 - 4*i to m*i**4 + h*i**3 + w*i**2 + z + q*i and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20559, -41243, -61927, -82611?\n\"Answer: -20684*l + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**9*t)\/t**(5\/4)*t**(-9)*t**(-9))\/((t**1)**(-4))**(7\/4) assuming t is positive.\nAnswer: t**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + 10. Suppose u - p + 2*p = -5, -2*u + 2*p - d = 0. Which is smaller: -9 or u?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93340652 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**3 - 6*b**2 + 2*b. Let p(m) = 7*m**3 - 11*m**2 + 4*m. Let j(v) = 5*n(v) - 3*p(v). Factor j(f).\nAnswer: -f*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122640 and 146160?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3135)\/4180 + 7854830\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*r + 20*r + 52*r)*(2 - 5 - 5)*(3 + 2*r**2 - 3 + (0*r + 0*r - r)*(-1 + 3*r + 1) + (2 - 2 - r)*(r - 2 + 2) - 2*r**2 + 2*r**2 - r**2).\nAnswer: 1176*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 4)*(4 - 11 + 9)*(0*j**3 - 3*j**4 + 0*j**3).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*n - 873 = 0, w + 3*n + 19 - 320 = 0. Suppose -3*v + 0*y + y + w = 0, -y + 296 = 3*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5904 and 2073124.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1894488551 - 2*p - 1894488551.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 998, 6963, 23138, 54629, 106542, 183983, 292058, 435873?\nAnswer: 620534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 5*l**2 - 3*l - 45. Give r(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 11532*h - 184099. Determine i(16).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -57, -71, -101, -153?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*s - 224, -2*h - 143 = 3*s - 8*s. Let u = -371\/5 - h. Let f = 0.06 - 5.06. Sort 0, u, f in increasing order.\nAnswer: f, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -13. Suppose 76 = 3*g - 4*c, -o*c - 14 = -39. Is (2 + g)*(-3)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -727 and -723 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -2.4. Let n = p - 2.4. Let o = -0.77 + 0.37. Which is the second smallest value? (a) -2\/11 (b) n (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25140 - 6566 = -7*u - 9068. Is 64 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 7, -0.05, -2, 859, -3\/4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 16*g**2 - 39*g + 58. Suppose 12*t - 270 = -54. Let a be h(t). Solve -4*n = -n + 4*w + 17, a*w = 4*n + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u + 43*u + 34 = 64*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 8 + 3. Let z = 17 - f. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 40*g = -44*g + 49, g + 5 = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -937 - -939. Let r be 23\/(253\/(-22)) - 3. Suppose 0 = -2*h + h - 2. Sort b, r, h, 4 in increasing order.\nAnswer: r, h, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 770 + -765.93. Let o = 0.07 - w. Let p = 286 - 286. Sort -5, o, p in descending order.\nAnswer: p, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-7)\/m*m**1*m)\/(m*m**5*m)**(1\/13) assuming m is positive.\nAnswer: m**(-59\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/1384 and 7\/175249.\nAnswer: 1401992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -264*f + 97. Let u be a(40). Let d = -418487\/40 - u. Find the common denominator of d and -89\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - -17. Let f = -24 + s. Factor -6*q**2 - 4*q**3 - q + f*q**2 + 5*q.\nAnswer: -4*q*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p**2 + 6*p + 5. Let s be 22\/4 - (-21)\/(-14). Let q(r) = 5*r**2 - 5*r - 4. Calculate s*m(x) + 5*q(x).\nAnswer: x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 6*k**2 - 6*k + 12. Give p(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 - a**2 - 106926*a + 110435*a to c*a + q*a**2 + j and give c.\nAnswer: 3509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*s + 1 = 7*s, -2*j - 8 = 3*s. Let v(y) = -19*y - 4*y + 5*y - y**2 - 58 + 2*y. Let l be v(j). Solve -f = -5*x + 1, l*f + 5 = -2*x - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38706642 and 19353321.\nAnswer: 38706642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.64187 kilometers in meters?\nAnswer: 35641.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.4. Let n be ((-12)\/10*-1)\/(12\/8). What is the biggest value in n, p, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-28) - ((-26)\/(-65))\/((-140)\/15350).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(4 + (-16)\/6). What is the nearest to -1 in -1, r, -3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 169 + -108. Calculate the remainder when u is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - 66\/(-4))\/((-2)\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44133\/107 or -411?\nAnswer: -411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2069*s**2 + s - 9925 wrt s?\nAnswer: -4138*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1920)\/256)\/(5\/(-252)). What is the greatest common divisor of p and 1350?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21705.852 rounded to the nearest one hundred?\nAnswer: -21700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, g: 4, z: 1, k: 3, r: 4, n: 5}. What is prob of sequence rgkr?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - y + 3. Let a(q) = 4*q - 54. Give -a(p) - 2*z(p).\nAnswer: -4*p**2 - 2*p + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.4 - 0.6. Let a = -22.80133511 + 7.8013354. Let k = a - n. What is k rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.04, 304 in ascending order.\nAnswer: -0.04, 0, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7001, -28004, -63017, -112046, -175097, -252176?\nAnswer: -343289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-226)\/4 + -5 - 1)*276\/(-15) is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*r = 5, -4*x - 5*r = -0 - 7. Let c be (12\/(-3) - x)*17\/(-2). What is the third derivative of 16*v**4 - 38*v**4 - v**2 + c*v**4 wrt v?\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 309300 * 0.03\nAnswer: 9279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*x - 284 - 26473, 5*n = 3*x + 66939. Suppose -n = -13*w + 56099. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2))**(-1\/17)\/((l*l**16)\/(((l*(l*l\/(l\/((l\/l**4*l)\/l)))\/l)\/l)\/l)) assuming l is positive.\nAnswer: l**(-715\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -18*(-6)\/(-24)*1\/(-12). Sort g, -1, 3 in increasing order.\nAnswer: -1, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 0.1301, 4\/5, 0.1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * 2879595.\nAnswer: -40314330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -315?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(6678\/6095)*(-6)\/(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -12120220201110011?\nAnswer: 12120220201110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02429475 to 4 dps.\nAnswer: 0.0243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(44)\/sqrt(2))\/sqrt(2))**2*-1 - (sqrt(99)*2 + sqrt(11) - (-1 + sqrt(11) + -3)).\nAnswer: -6*sqrt(11) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -13. Let n be (-249)\/9 + k\/6. Calculate the remainder when 42 is divided by (1\/1)\/((-3)\/n).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y - 74*y = 285 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 12*q**2 + 6*q - 13. Is 8 a factor of l(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9706.589l to millilitres.\nAnswer: 9706589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 59*x - 2596. Let k be b(44). Let d(q) = 2*q**3 - q**3 + 5*q**3 - 5*q**3 - q - q**2. Determine d(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**1*d)*d*d**6)\/(d**(-5)\/(d**0\/d))*(d\/(d**(1\/3)*d))**42\/(d**0*d*d**(-3\/10)*d) assuming d is positive.\nAnswer: d**(-47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (-38)\/10 + (-17)\/85. What is the nearest to 4 in i, 0.01, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/1373360 and -43\/647539240?\nAnswer: 1295078480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1145 divide 1656097085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 2*g**3\/3 - 2*g**2\/9 + 17. Solve b(d) = 0 for d.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -1. Let d(k) = -59*k + 3. Let w be d(-3). Suppose -r = -6*r + w. Calculate the highest common divisor of b and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 559 - 557. Let p(t) be the third derivative of -1\/32*t**4 + 0*t + 0 + 3\/80*t**5 + 1\/280*t**7 - 3*t**w + 0*t**3 - 3\/160*t**6. Factor p(o).\nAnswer: 3*o*(o - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*v + f - 41, 4*f + 1 = -v. Suppose -3*k = 2*k + v. Let o(w) = -1. Let h(b) = b. Let n(q) = -h(q) + 4*o(q). Calculate n(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755 is divided by 210?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/19 + -50\/57. Let n = -83 - -83.2. Let f(m) = -m**2 + 8*m - 14. Let s be f(4). Which is the closest to t? (a) s (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4 + 0*v - v**2 + 2*v**3 - v - 3*v**3 - 5. Let z be f(-1). Suppose z*w - 3 = -w. What is the highest common divisor of 21 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (336\/392)\/((-6)\/2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 2*n - 3. Let g(f) = -f**2 + 13*f - 7. Let j be g(12). Let m be x(j). List the prime factors of 436\/m - 2\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 783.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25493.64ml in litres?\nAnswer: 25.49364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 8*k - 8. Let f be m(5). Suppose -3 = f*b - 15. Solve 0 = -3*a - 0*a + b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 8*o + 9. Let g be j(-8). Let c be 2013\/g + 10\/(-15). Let d = c - 150. List the prime factors of d.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 15*n**4 - 1938*n**3 + 56475*n**2 - 9672*n - 44880 = 0?\nAnswer: -4\/5, 1, 44, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -92438 > -92438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 - 5) + -1 + 16. Suppose 0 = 5*j + 2*f - 18, -4*j - 2*f + o - 2 = 0. Find w such that -10\/11*w - 2\/11*w**j + 12\/11 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 172608.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - t + 0)*(-t - 3*t + 3*t) + 54*t**2 - 39537 + 19739 + 19764.\nAnswer: 55*t**2 - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56537245 is divided by 3825.\nAnswer: 3745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80.8 + -73. Let d = -3069070 - -3069077.800094. Let v = g - d. What is v rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46897, 93750, 140527, 187192, 233709?\nAnswer: 280042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -243 divided by 3991\nAnswer: -243\/3991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 22*d**2 - 3*d + 3. Is 6 a factor of f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*s*w**3*z**2 - s*w**3 - w**3*z**2 + 2*w**3*z + 196*w**3 - 16*w**2*z**2 wrt z?\nAnswer: 36*s*w**3 - 2*w**3 - 32*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*d**5 + 92*d**4 + 658*d**3 + 264*d**2 = 0. Calculate d.\nAnswer: -4, -3\/7, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 456 divide 9287352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 - 72. Suppose i = -v + 26. Suppose -i*l = -10*l - 32. Solve 0 = -5*j - 3*k + 5, 5*j - k = l - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.24 - -1975.3772\nAnswer: 1976.6172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 5, -2\/65, 0.03, 3\/7 in descending order.\nAnswer: 5, 3\/7, 0.4, 0.03, -2\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**5\/4 + 5*i**3\/2 + 17*i. What is the second derivative of h(k) wrt k?\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 4*f + 2*f**3 - 6*f**3 - 3 + 4 + 3*f**3. Let q be v(3). Let o = 1 + -2. Is o >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3898880 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 45, 68?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 4*t - 3. Let i(b) = b - 12. Let p be i(6). What are the prime factors of f(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 16.000015. What is d rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*r**3 - 16*r**3 + 78 - 101 with respect to r.\nAnswer: -192*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 41 = 4*t, 5*t = -5*l + 19 + 26. Solve -t - 6 = -5*d + 4*a, 2*d + 8 = -2*a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161346 + -0.1\nAnswer: -161346.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 5*s - 3. Suppose 3*w - 2*r - 74 = 2*r, 3*w - 39 = -3*r. Let p = w - 15. Let v(y) = p - y - 4 + 0. Calculate b(n) - 3*v(n).\nAnswer: -n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14974096 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27876 = -272*u + 90716. Calculate the greatest common factor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -51, -5, 32 in increasing order.\nAnswer: -51, -5, -4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, d: 3, m: 3, s: 1, u: 3}. What is prob of sequence mum?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 0, -3 in descending order.\nAnswer: 22, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/10)\/(w*w\/(w*w*w\/(w**(2\/5)*w))*w) assuming w is positive.\nAnswer: w**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4)*v)\/v*v*v**(-2\/17))**(3\/26)*(v**(-2\/5))**26\/(v**3\/(v**(1\/6)*v)) assuming v is positive.\nAnswer: v**(-41746\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -p + 2*a, -5*p + 2*a = -68 + 11. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 9:02 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gaa when three letters picked without replacement from tatttgga.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -27*m**2. Let l(d) = -d**2. Suppose 5*n + 5*p + 75 = 0, -3*n = -8*n + 4*p - 66. Give n*l(k) + 2*h(k).\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13322 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 349 + -354. Let g(s) = -2*s**3 - 9*s**2 + 9*s + 19. Let j be g(r). What is the fourth biggest value in 2\/5, 2, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 + 3*j + 3. Let o be t(-1). Let h(w) = -w**3 + 3*w**2 - 6. Let f be h(o). Suppose 17*q = f*q. Solve q = -3*v - 0 + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93 - 97. Suppose 4 = -2*q + 5*i - 1, -4*i + 4 = 5*q. Suppose 11*y - 3 = 10*y. Sort a, 11, q, y.\nAnswer: a, q, y, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10) + (-34)\/10. Let z(k) = -k**3 - 3*k - 2. Let w be z(o). Suppose 5*a - w = 1. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4778 + 33444\/7. Suppose 0*n - 215 = 5*n. Is n at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 10 = -2*w. Suppose 2*f + 2*p - 5 = 1, -3*p - 31 = -5*f. Suppose w*l - 4*k = -4, 0 = l - 5*k + 13 - f. Sort -4, l, 1 in decreasing order.\nAnswer: l, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-27)\/(-6) + (-2)\/4)\/1. Solve -11 = -3*d + 5*v, -v + 0*v = g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 56\/(-35)) + -6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 + 42*t**4 - 198 - 231 - 13*t + 431 in the form k*t**3 + d*t + w*t**4 + i + f*t**2 and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/9 + (-130)\/(-18). Suppose 4*b + 9 - 13 = 0. Calculate the highest common factor of u and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 285*i - 1467. Calculate n(5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a gram in milligrams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a3 + 2?\nAnswer: -6a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5428414 micrometers?\nAnswer: 0.00005428414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30950 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 365\/26 or 2\/339?\nAnswer: 2\/339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*y**2 + y**2 + y**2)*(326 + 24*y - 326) - 4*y**3 - 1 + 1)*(5*y - 5 + 5) to b*y + s*y**3 + l*y**2 + r*y**4 + o and give r.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**2 + c + 1024. Let s(v) = -v - 1. Give -3*s(j) - z(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1111 is divided by 57?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 6268 = -50*r - 6382 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 187 = -7*t. What is the remainder when 52 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 - -115. Let c be (b*20\/24)\/1. Sort 3\/7, 2\/5, c in ascending order.\nAnswer: c, 2\/5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2 + 13534*p + 13532 = 0. What is p?\nAnswer: -6766, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2488955 to the nearest integer?\nAnswer: 1578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 3 (b) 2 (c) -1\/20 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-7\/3)))\/o)\/(o**(-20)*o) assuming o is positive.\nAnswer: o**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 2*h)*(4*h**2 - 3*h**2 + 3*h**2) + (0*h**3 + 0*h**3 - h**3)*(-4 - 4 + 7) as d*h**3 + y*h + z + f*h**2 and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -6 (b) 19 (c) 3\/4 (d) 2\/5 (e) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x + 81. Calculate b(-30).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. Suppose -2*q + 4*z = -26, -r*z = -3*z - 3. Calculate the remainder when q is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46367, 46368, 46369, 46370?\nAnswer: 46371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5))**(-17\/4) assuming x is positive.\nAnswer: x**(17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 3*x = -16. Suppose 0 = -x*s - 12*s + 2520. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(32)*-4 - (sqrt(40)\/sqrt(4))\/sqrt(5)).\nAnswer: -17*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3543*v - 7086*v + 15 = -2*d - 3538*v, 4*v + 11 = -3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d. Let o(l) = 15*l + 2993*l**2 - 15*l - 1781*l**2. What is o(z(h))?\nAnswer: 4848*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 67, 52, 31, 4, -29, -68?\n\"Answer: -3*l**2 - 6*l + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1374733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 6 = -4*m + a, m + 2*a = -5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -9*z + 11. Let b be j(1). Find c, given that 0 - 6*c**3 + 12\/5*c**b + 24\/5*c + 9\/5*c**4 = 0.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4147.8*-0.52\nAnswer: -2156.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 214491376 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (323*204\/(-47685))\/((-2)\/11)\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-70)*3\/12*-7.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 14 = 0, -28*u + 36911 = g - 24*u. List the prime factors of g.\nAnswer: 3, 7, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*i**2 + 8*i + 452 wrt i?\nAnswer: -36*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/j**0))**(-11\/6)*(j*j*((j**(-2)*j)\/j)\/j)**(-1\/7))\/(j**(-1\/6)*j**(-1))**(-2\/47) assuming j is positive.\nAnswer: j**(-1145\/658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29316, -29313, -29312, -29313?\nAnswer: -29316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1360*p**5 - 79400*p**4 + 215315*p**3 - 112205*p**2 + 20720*p - 1220 = 0 for p.\nAnswer: -61, 2\/17, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25\/2 - -86\/7. Let j = o + 23\/42. Let a = 0 + -2. What is the closest to -1 in j, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21987*i*v**4 + i*v**3 - 5955847*i*v**2 + 5*i*v wrt v.\nAnswer: -527688*i*v + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*l - 4*l, 2*l - 5*n = 40. Solve 5*s - l = -5*j, 0 = -4*j - s - 0*s - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.25 (b) -0.3 (c) -1\/11 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-27))\/(10\/(-12)) - 0. Let y(j) = -j**2 + 24*j - 142. Let r be y(11). Are b and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*l + 91 - 91 + (0 - 2 + 1)*(l + 3*l - 3*l) + 2*l - 4*l - 4*l + (5 + 2 - 4)*(-l + 2*l + 0*l) to the form c*l + f and give c.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 7 - (3 + 2 + (20 - 10 - 18)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-9)*(-669024)\/11615.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -50398567*q. Let p(i) = -2*i. Calculate s(p(t)).\nAnswer: 100797134*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -16*k**2 + k. Let p(l) be the third derivative of -3*l**5\/20 - 587*l**2. What is p(b(c))?\nAnswer: -2304*c**4 + 288*c**3 - 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 421028887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-84))\/9*(276\/(-805))\/(11\/(-154))?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 1071*d**2 + 3204*d.\nAnswer: d*(d + 3)*(d + 1068)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 158, 332, 486, 608, 686, 708, 662?\n\"Answer: -2*o**3 + 2*o**2 + 182*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w - 54 = 4*h, 0 = h + 3*w + 21. Suppose y - 28 = -o, 4*o - 4*y + y = 98. Let u = o + h. What is the greatest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/3 + 146*g\/3.\nAnswer: 2*g*(g + 73)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/3 - 19*x**3\/3 - 4*x**2\/3 + 76*x\/3.\nAnswer: x*(x - 19)*(x - 2)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 2*c = 4*y + 3, -y - 4*c = -11. Let w = 2 + y. Suppose -5*t = -2*t - 12. Put w, 5, t in ascending order.\nAnswer: w, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12402*0.2.\nAnswer: 2480.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -270*b - 808. Let w be o(-3). Solve -2*i = -c - 6, w*c - 3 = -i - 3*c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/12)\/(3\/660*-5). Solve 2*n = 4*r + r - q, -3*n + 5*r - 37 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddud when four letters picked without replacement from ddddududuuuduu?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.7 + -0.3. Let f = g - 2. Let p be (-40)\/45 - 2\/(-9). Put p, f, 0.4 in decreasing order.\nAnswer: 0.4, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**4\/12 + x**3 + 2*x**2 - x. Let n(h) be the second derivative of h**3\/6 + h**2\/2 - 2*h. Determine -a(t) + 6*n(t).\nAnswer: t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 4*v - 3. Let t be a(5). Suppose 24 = 5*i + 9. Let p(r) = -5 + t*r + 2*r**3 + r - 4*r**2 - 3*r**i. Give p(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -17.28. Let g = -0.22 + t. What is the nearest to 0 in 0, -6, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -198\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250\/(-50)*2\/10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1 = 3*p, 4*j - 3*p = 41. Let x(d) = -587*d + 1157*d - 584*d. Let k(r) = 5*r. Give j*k(f) + 4*x(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 i when three letters picked without replacement from rriiairiipiaa.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 39434, -1\/5, 1\/56?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9771 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -97*j**5\/20 + 3*j**3\/2 + 11*j**2 - 254*j. What is the second derivative of l(w) wrt w?\nAnswer: -582*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 - -4 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98)\/147)\/(4\/(-114)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-40))\/((-3)\/60*10)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y + 2 - 6 + 0 + 4.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7980 is divided by 1593?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 970 + 12231*b - 12230*b - 970.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/9 - 4\/12. Let l(a) = 4*a**3 + 6*a**2 + 5*a. Let f(k) = -k**3 - k**2 - k. Calculate h*l(t) - 6*f(t).\nAnswer: 2*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -266 + 1601\/6. Let t be -8*((-1)\/2 + 54\/120). Sort t, n, -3 in decreasing order.\nAnswer: n, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -1586?\nAnswer: -11\/793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 3*o + 16, 5*o = 4*a + 1070 - 1068 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*o + 3 + 1, 0 = 4*o + c - 16. Let -3*l**3 + l**5 + 8*l**3 - 5*l**o - l**4 = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 13*d**2 + 27*d - 26. Let m be z(11). Suppose -n - 18 = 5*j - 1, 3*n - j = m. Calculate the smallest common multiple of n and 612.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941 is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 55*i**2. Let n(m) = 14*m**2. What is 15*n(r) - 4*v(r)?\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 70? (a) 47\/5 (b) 12 (c) 2\/5 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -890*a + 5853 + 1383 = 116 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x = 2, 4*p = -x + 209. Suppose -104 - p = -12*m. Suppose -k + 36 = 4*z, 0 = -7*z + 4*z. Calculate the remainder when k is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1495 + 11957\/8. Let q = -3.9 - 0.1. Let f = 1 + 1. Which is the smallest value? (a) s (b) q (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) 2\/19 (c) 0.2 (d) -16\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -215*h*j**2 + 11853*h - 13*j**2 - 52783*j - 1 wrt h.\nAnswer: -215*j**2 + 11853","meta":{"dup_signals":{},"source":"calculus__differentiate_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: What comes next: 149341543, 149341547, 149341551, 149341555, 149341559?\nAnswer: 149341563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 581*j + 3488. Let k be v(-6). Let z(p) be the first derivative of 1\/3*p**3 - 3*p**k + 3*p + 41. Give z(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:16 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. Let z(b) = b**2 - 3*b - 5. What is z(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7098.1 times -4.16\nAnswer: -29528.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.3*-18.\nAnswer: -203.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/((s*s*s*s**1\/s*s)\/s)*s)))\/(s\/(s*s**(2\/5)*s)*s))\/(s**(-2\/5)*s**3*s)*(s**(-7)\/(s\/(s\/s**5*s)))**2 assuming s is positive.\nAnswer: s**(-131\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 11*i**3 - 4*i**2 - 4. Suppose -6*r - 46 = -4. Let j(v) = -21*v**3 + 7*v**2 + 7. What is r*b(c) - 4*j(c)?\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -19*a**5\/20 - 31*a**4\/12 - 18*a. What is the third derivative of i(h) wrt h?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5822 is divided by 645.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.59 - -61892.\nAnswer: 61891.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -4. Let c be m\/2 - (4 + -1). Let g be 4\/22 - (-3)\/(-198). Put c, 3, g in increasing order.\nAnswer: c, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 28*d + 9. Let r(u) = -1264*u - 408. Let g(c) = 272*l(c) + 6*r(c). Let q(w) = -3*w**2 + 3*w. Calculate q(g(b)).\nAnswer: -3072*b**2 + 96*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*y + 24*y + 2*y)*(-y + 12*y**2 + 5 - 5*y**2 - 5*y**2) as z*y**3 + g + c*y + x*y**2 and give x.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*c - 4*j + 3*j, 3*c - 3*j - 9 = 0. Suppose -2*n + c - 12 = 0. Let y be (-3)\/(-6) + (17 - 21). Which is greater: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -49*x - 12. Let a(u) be the third derivative of u**4\/8 - 8*u**2 - 44*u. Calculate a(f(i)).\nAnswer: -147*i - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 + 4*l**3 - 3*l**3 + (-l**2 + 3*l**2 - l**2)*(-4 + 4 + 3*l) + 4*l**3 - l**3 - l**3 + (6*l - l - l)*(0 + l**2 + 0) - 4*l**2 + 4*l**2 + 2*l**3.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -9 - -22635 - (-9 - (-2 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 1. Suppose 3*d - 9 = -6. Let s(a) = -a. Let j(z) = d*r(z) - s(z). What is j(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10971 and -124.\nAnswer: -11095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m**2 + 2*m - 8. Let z be u(-12). Suppose 5*p - 9 = -r, 6*r - 6 = 2*p + 4*r. What is the remainder when 184 is divided by p*3\/(-9) + z\/30?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxu when three letters picked without replacement from akdxauauaoaxk.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1145, 6075, 18575, 42431, 81429, 139355, 219995, 327135?\n\"Answer: 631*v**3 - v**2 + 516*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 9:59 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -828 + 416. Let m = 747 + c. Suppose -m = 4*t - 9*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97.647 * -0.6\nAnswer: -58.5882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - 7 - (39 - (69 + -14))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.7 + 22.7. Suppose 3*m + 52 = 5*m. Suppose -c + 1 = 0, c + 9 - m = -4*s. What is the closest to 2\/7 in f, 10, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**3\/6 - 9*z**2\/2 - 2*z. Let d be k(11). Solve 0*u - 5*u = 3*q - 14, 3*u = -d*q + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 805 = u + 780. What is the highest common divisor of 40 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.263 - 24.163. Which is the closest to 0.1? (a) -50 (b) -7 (c) -0.1 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75755 = 91*w + 41*w + 440*w + 21415 for w.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.17 times 0.6?\nAnswer: -0.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3902641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/8 - 59\/24. Let v = -2 - u. Which is the third smallest value? (a) 4\/5 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 102 (b) -18 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5234, 10476, 15718, 20960, 26202, 31444?\n\"Answer: 5242*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - (-196)\/(-84)*-21.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/38*2\/3*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(2*sqrt(384) - sqrt(384)) - sqrt(384)) + sqrt(384))*-1)\/(-4*sqrt(1728)*-2*4).\nAnswer: -sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**7\/840 + j**6\/45 - j**5\/120 + j**4\/4 + 46*j**3\/3 - j + 15. Let f(k) be the second derivative of n(k). Give f(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**5 - 11282*d**4 + 3*d**3 + 88537*d + 1 wrt d?\nAnswer: -40*d**3 - 135384*d**2 + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3697337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.5 (b) -1\/7 (c) 8 (d) 1\/2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -d - 35, 6*d = 25*s - 25*s - 156 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.318512 to the nearest integer.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -31, -50, -55, -40, 1, 74, 185?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - -25 - (45 + 21 - 26).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2470678 divided by -14\nAnswer: -176477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15219463 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1237 - 1240. What is the nearest to 1\/5 in -0.1, 0.3, -2\/9, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*j - 37 + 7 = 0, -50 = 4*k + 2*j. Let r be (-56)\/k + 14\/35. Is (0 + 43)*r\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 115*j + 1. Let n be l(2). Suppose t + n = 5*w - 0*w, -181 = -4*w - 3*t. Is 23 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**3 - k**2 + 2*k. Let m be (12\/(-60))\/((-2)\/(-4))*5. Let f be l(m). Suppose -2*h - f = -3*h. Calculate the remainder when 95 is divided by h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2592 is divided by 645.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 404427 (base 9) to base 3\nAnswer: 110011110221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 7*k**2 - 10*k - 10. Let i = -27 + 19. What are the prime factors of c(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0*c + 4*s + 12, 5*c = 2*s + 6. Suppose 3*f - 7 = h - 1, -f + 4*h + 2 = c. Let l(p) = -p**f + 2 - 15*p + 15*p. Give l(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36224221*z**3 + 2*z**2 - 7966935*z + 2 wrt z?\nAnswer: 217345326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 63746890 to the nearest 10000.\nAnswer: 63750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, g: 3, f: 3, p: 2, x: 6, h: 2}. Give prob of sequence rfg.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -432779 divided by -95?\nAnswer: 432779\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2*k + d - 17, -4*d = -k + 37. Let t = k + 14. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34 + w - 3*w**2 + 4*w**2 - 35 + (-6*w + 5*w + 3*w)*(-3*w - 4*w + 6*w).\nAnswer: -w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46924 + 46837.9. Which is bigger: h or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4131 - 143?\nAnswer: -4324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhu when three letters picked without replacement from {h: 3, u: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 884, 1101, 1462, 1967?\n\"Answer: 72*g**2 + g + 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6)\/q)\/(q\/((q\/(q*(q*q*q*(q*q\/q**(-1))\/q*q)\/q))\/q)))\/(q\/(q*q*q**(2\/11)))**(11\/4) assuming q is positive.\nAnswer: q**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 182727.2 from 0.\nAnswer: -182727.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i - 20. Let k be b(3). Let t be (-63)\/k + -2 + (-92)\/(-10). Let w be (8 + 1)\/((-2)\/(-22)). Calculate the greatest common factor of w and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 11:02 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 6 - 8 = 4*q, -k + 91*q = -176 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2e807a (base 15) to base 2\nAnswer: 1000100110011100010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**3 + 71*l**2 + 29*l + 37. Calculate r(-14).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -493*h**3 + 4*h - 6. Let i(m) = 494*m**3 - 3*m + 5. Determine 6*i(u) + 5*w(u).\nAnswer: 499*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 28738\/41823?\nAnswer: 28738\/41823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 201?\nAnswer: 1\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (14*85\/(-20))\/((-16576)\/9472)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2207? (a) -0.2 (b) 1\/4 (c) -0.4 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*v + 62*v - 10 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(605))**2 + (sqrt(5) - sqrt(20)*-1).\nAnswer: 3*sqrt(5) + 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(21\/(1890\/(-150)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771643033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + m + 171 = 0, -128 - 164 = -5*d + 4*m. Let j = 7 - 0. Calculate the greatest common factor of j and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 229*k = -27*k - 21238 for k.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 12:53 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -0.04976?\nAnswer: -0.05024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55244 - 32031?\nAnswer: 23213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 2\/41, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18028?\nAnswer: 2, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/7035 and 9\/3059.\nAnswer: 3074295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -34*p + 3 + 55*p + 10*p. Give x(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1557 + 30.1557. Let j = -0.031 + 31.531. Let o = j - u. Round o to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l - 2. Let o = -245 + 242. Let s(c) = 5*c - 1. Determine o*b(q) + 2*s(q).\nAnswer: -2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 3, d: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p**2. Let o be d(1). Let i(t) = -2*t - 7. Let n be i(o). Suppose -366 - 73 = -92*c + 21. Solve -20 - c = n*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 27689, 28014, 28337, 28658, 28977, 29294?\n\"Answer: -b**2 + 328*b + 27362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -414, 0.5, 4, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1013 (base 7) to base 2\nAnswer: 101100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29\/154 - 1\/154. Let n(w) = -w**3 + 6*w**2 + 6*w - 39. Let t be n(6). What is the fourth smallest value in p, 4, 1, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + 16 + -13 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/10 and 50\/162047.\nAnswer: 1620470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 + 2*q**2 - 2*q**2)*(q + 0*q + 0*q) + q**5 + q**5 - 4*q**5 + (26 + 29 - 22)*(31*q - 31*q - 6*q**5).\nAnswer: -201*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1124 is divided by 281?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-842)\/(-94) + ((-15)\/(-10))\/(17\/(-102)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q + 40. What is p(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s\/(s*s\/s**(-2\/5)))))**40 assuming s is positive.\nAnswer: s**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -525*k + 126. Let r(d) = -21*d + 5. Let b(q) = -5*j(q) + 126*r(q). Let s(n) = -7*n + 7*n - 2*n**2 + 90 - 90. Give s(b(g)).\nAnswer: -882*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.7, 16 in increasing order.\nAnswer: -0.7, -0.2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30644 - 30616. Solve 160*s - 2*f = 157*s - 19, 4*s - 4*f = -y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33055246 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -0.05248034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 9) to base 13.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*r = -2*y - 55*r + 9, -4*r - 19 = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - (-19)\/(-5))*5*1. Let v be (-6)\/9*(-1 - s) - -21. Is (39 - v)*(0 - -2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 327*s**3 + 7*s**2 + 199*s - 16. Let a(w) = 164*w**3 + 4*w**2 + 99*w - 9. Let z(t) = 7*a(t) - 4*k(t). What is the second derivative of z(o) wrt o?\nAnswer: -960*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449768992?\nAnswer: 2, 43, 326867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 15\/14, 0.1, -0.1, 0, 20\/597, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 10*z - 4. What is j(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*d**2 + 46*d.\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 20 = 0, 5*q - 123*b - 25 = -128*b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**3 + 3*a**2. Let u(h) = 4*h**2 + 9*h**3 + 4*h**2 - 8*h**2 + 7*h**2. Suppose 5*l - 3*x = -9, -l - 19 = 4*l + 2*x. Calculate l*u(d) + 7*z(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 590883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -44513253 times 8?\nAnswer: -356106024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/5 + 1\/5*d**3 + 7\/5*d**2 - 2*d.\nAnswer: (d - 2)*(d + 1)*(d + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 5*n**2 - 2 - 1 + 9*n**2 + 11*n - 3*n**2. What is the first derivative of u(i) wrt i?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -720, -73, -82, -5?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*l + 28, 0 = 2*i - 6*l + l + 12. Let r(k) = k**3 - 3*k**2 - 3*k - 4. Let b be r(i). Let z = 0.4 + -0.2. What is the nearest to -2\/7 in z, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 81\/4 of a gram?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - f**2 + 3*f - 1. Let m be g(2). Let h = -5 - m. Let z(p) = p**2 + p - 1. Give z(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 602311029 to the nearest integer?\nAnswer: 24542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23899 divided by -41.\nAnswer: -23899\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-68)*34\/6*246\/(-4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40474, 161903, 364284, 647617, 1011902, 1457139?\nAnswer: 1983328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 1747*w**5\/5 - 1226*w**2 + 5045*w. Differentiate s(a) with respect to a.\nAnswer: 20964*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8514 + 6.\nAnswer: -8508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22669634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 55 = -3*m. What is the highest common factor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b**3 - 5*b**2 + 6*b + 1. Let p(m) = -4*m**3 - 3*m**2 + 3*m + 1. Let h(i) = -10*p(i) + 6*r(i). Determine n, given that h(n) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d + 0*d - 28*d**2 + 0*d to the form s*d + n*d**2 + a and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 - 16. Let i = u - 31. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 2, s: 6, a: 4}. Give prob of picking 1 s and 1 n.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 52*j**3 - 3*j**2 + 3*j + 167. Let g(y) = 156*y**3 - 8*y**2 + 8*y + 501. Let c(a) = 3*g(a) - 8*o(a). Find the first derivative of c(v) wrt v.\nAnswer: 156*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1296 and 54.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-76))\/(864\/432))\/(((-9)\/3)\/6)\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16248 is divided by 16225?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.4 - 3.4. Let w = 6 - o. Let i be -3 + 2 + 20\/12. Which is the nearest to 0.2? (a) w (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.71 and 50.83.\nAnswer: 36.0893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 751, -9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**5 - 25950*g**4 + 38970*g**3 + 233620*g**2 + 103824*g = 0?\nAnswer: -6489, -2, -1\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -26. What are the prime factors of 167 + (10\/4 - 4)*g?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11045883 is divided by 1138.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 5*y**4\/24 - 5*y**2. Let a be w(4). Solve -6*d = -d + a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14628 by 138.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14921 and 1?\nAnswer: 14921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 4. Let h(v) = 3*v + 1. Let d(i) = i**2 + i - 1. Let y be d(1). Let w be h(y). Is w >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 197*m - 183*m + 12)*(-7*m + 32*m + 8*m) to z*m + c + v*m**2 and give z.\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(502\/2510*(-16 - 0 - -2))?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.64 + 0.04. Let q = 3.6 + z. Is -1 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 258016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-9)*m**(-23) assuming m is positive.\nAnswer: m**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r + 23*r + 14*r - 13*r + 2 + 18*r as a*r + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*y = -364*y + 14001 + 211 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7809329531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 1822653.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174 and 39005.\nAnswer: 234030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p + 0 + 1 - 9 - 5*p. Let a be w(-6). Let v = a - -59. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/12*(-23)\/322\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(6)*3 + (sqrt(384) - sqrt(384)*-2 - sqrt(384)))\/(sqrt(27) + sqrt(54)\/sqrt(2) - (sqrt(192) + -1*sqrt(192))).\nAnswer: 31*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 3:34 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y - 828 = 0. Suppose -3*k - 3*b = -117, 3*k - b + y = 8*k. What is the highest common factor of 63 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - o**2 + o**2 + o**2 - 31*o to the form t*o + z*o**2 + d and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21321936.\nAnswer: 2, 3, 263, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 760 and 288.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -455, -908, -1361, -1814?\n\"Answer: -453*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 74.7.\nAnswer: 78.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -66. Let q = b - 14. Let x(h) = -h**3 + 8*h**2 - 6*h - 1. Is x(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*g = 412, -4*g - 90 = -2*m + 86. Calculate the remainder when m is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2.1. Let i = o - 0. Sort i, -1, -0.5.\nAnswer: -1, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-218)\/(-34008)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 572097*f + 572098.\nAnswer: -(f - 1)*(f + 572098)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 681325 - 681325 + 2*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1312342987 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -287441 by -4.\nAnswer: 287441\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*l + 82*l - 5*l + 20*l - 13*l.\nAnswer: 164*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11850936?\nAnswer: 2, 3, 101, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3087)\/378)\/(191\/1146).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 5*r = 4. Let s = -9 + 13. Find the third derivative of -d**4 + d**2 - d**r + 0*d**s wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89*i**2*k**3*m + i**2*m*t**2 - i**2*t**3 + 2*i*k**3*m*t**2 - 18*i*k**2*t + 12*i*t - 2*k**3*t**3 - k**3 - 2*k**2*m*t wrt i?\nAnswer: 178*k**3*m + 2*m*t**2 - 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + r**2 - 2 + (-5 + 6 + 23)*(-7*r**2 + r**2 + 4*r**2))*(-1 + 4 - 2) + 0*r**2 + 2*r**2 + 0*r**2.\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20*8\/200*5. Suppose y*f - 2*l - 1772 = 4730, 5*f - 8123 = l. What are the prime factors of f?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.078 - 4.078. Let v = -366.0421694 + 370.04217. Let a = m + v. What is a rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00085126 to 5 decimal places.\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2334939, 2334947, 2334953, 2334957, 2334959, 2334959, 2334957?\nAnswer: 2334953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/1 + (-6 - -3). Suppose 2*b = 1 + x. Let h(u) = 17*u + 5. Let p be h(b). What is the highest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**3*u**2 + 8*m**3*u + 9*m**2*u**2 + 21*m*u**2 - 397*m*u wrt u?\nAnswer: 4*m**3 + 18*m**2 + 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 526944791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379844 is divided by 54239?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f - 2. Let h be (f + 4)\/(1\/1). Solve -t = -2*r + 5*r + 2, 4*t = h*r + 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*m - 187*m + 14 = 0. Let x(w) = 128*w**3 - w**2 + 1. Let k be x(1). Suppose k = -m*n + 470. List the prime factors of n.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303363528 divided by 3.\nAnswer: 101121176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 57 (b) 3\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 1)\/(84\/(-189)). Find q, given that r*q - 1656*q**3 - 15*q**2 + 9*q + 1653*q**3 = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 903*p - 906*p - 22092, -2*p + 11053 = m. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43260137 (base 8) to base 4.\nAnswer: -203112001133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2611 divided by 2?\nAnswer: 2611\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45)\/(-12) + (-5)\/(-20). Suppose -d*l + 6 = -7*l. Is (-9)\/(-1 + l) + 64 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179838342 is divided by 977.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - 342967514?\nAnswer: -342967527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.26832 + 1.366483. What is n rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**2 - 2*u**2 + 3656*u**3 - 3655*u**3 + (u**2 - u**2 + u**3)*(6 - 2 - 2) - 2*u**3 + u**3 + 2*u**3.\nAnswer: 4*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 16*o**2 + 4*o + 3. Let s be q(-2). Calculate the common denominator of 40\/11 and 2 - 2\/((-20)\/s).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 3:36 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 103 = -21*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -217 + 221. Suppose g + 6987 = k*p + 771, -3*p + 4675 = -4*g. What is p rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**6\/1020 + q**5\/102 + q**4\/102 - 8*q**3\/51 + 242*q**2. What is z in g(z) = 0?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -131, -199, -311, -467?\n\"Answer: -22*m**2 - 2*m - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 847, 844, 819, 760, 655, 492, 259?\n\"Answer: -2*x**3 + x**2 + 8*x + 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -6145*t + 6136*t. Suppose 5*l = 2*s - 33, -2*l - 2 = s - 5. Let d be (10\/(-8))\/(2\/(-8)). Sort t, 0, d, s in ascending order.\nAnswer: t, 0, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**3 + r**2 - 6*r + 7. Let j(k) = -3*k**3 + 5*k - 6. Let a(w) = 6*j(w) + 5*q(w). Let s(p) = 2*p**3 + 4*p**2 - 1. Give 4*a(d) - 5*s(d).\nAnswer: -2*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -737*w - 12861. What is l(-17)?\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 - 3 - (5 - (2 - 32))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 426932, 426426, 425920?\nAnswer: 425414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 10:13 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62055.93 millilitres to litres.\nAnswer: 62.05593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.708 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**3 - q**3 + 6*q**3 + (0*q + 0*q - 2*q)*(1 - 1 - q**2) - 4*q**3 + 5*q**3 - 2*q**3 + q**3 + 2*q**3 - q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2.26.\nAnswer: 9.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -3*d + 7, -3*x + d = -4*d - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -123, -52, 65, 228?\n\"Answer: 23*z**2 + 2*z - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*a + 1008*a + 1140 = 508*a for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1407 - 1401. Let z = 198 - 105. Let l = z - 63. Calculate the highest common factor of l and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7419*f - 483 + 238 + 245 - 7420*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nddhpdppppppnpzpzn. What is prob of picking 1 z and 2 p?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 10*i - 10. Let b(t) = t**2 - 7. Let c be b(0). Let p be f(c). Suppose 3*r + n - p = 0, -r = -3*r - n + 6. Solve r*z + 6 = -14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + p - 22 + 6, -4*p = 3*j - 28. Suppose -14 = 2*b - 40. Calculate the remainder when b is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/((-16)\/18))\/(2\/(128\/336)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1454, -3657, -5910, -8207, -10542, -12909, -15302, -17715?\nAnswer: -20142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203321.\nAnswer: 203321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -182 - -194. What is the remainder when 17 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 6*n - 8. Let o(h) be the first derivative of h**3 - 17*h**2\/2 - 22*h + 17. Let j(d) = -4*o(d) + 11*y(d). Calculate j(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -182, -36, -3\/7, -1, 2\/25?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**6\/600 + s**5\/100 - 3*s**4\/5 - 35*s**3\/3 + s**2\/2 - 115. Let j(r) be the third derivative of m(r). Solve j(c) = 0.\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)\/n)\/n**(-1)*n**0*n**11 assuming n is positive.\nAnswer: n**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/2*(-40)\/(-180). Sort -5, 2\/3, t.\nAnswer: -5, t, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2827572\/19 or 148819?\nAnswer: 2827572\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 0*y**2 + 4*y + 11*y**3 + y**2 - 3*y - 1. Does 6 divide u(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8636746152 to the nearest integer?\nAnswer: 92934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 29, 5, -32, -1.\nAnswer: -32, -1, 0, 2, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 3. Let b = -5 + a. Let l = b + 6.999955. What is l rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/2)*n\/(n**5*n))**(-3\/2))**(-17\/5))**12 assuming n is positive.\nAnswer: n**(-1683\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 36. Let a(n) = 10*n**3 - 6*n**2 - 18*n + 14. Let p(j) = -j**3 + j**2 + j - 1. Let y(z) = c*a(z) + 12*p(z). Factor y(o).\nAnswer: -2*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2045 - -143147\/70. Let v be (11\/44 + 2\/(-8))\/1. Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749897901.\nAnswer: 3, 53, 1572113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbmv when four letters picked without replacement from mqqdevqqqqbbdqmqqqq.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-two fifths of a microsecond?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n - 19. What is w(-6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(550)\/sqrt(44).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31130131 (base 6) in base 13?\nAnswer: -255a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2238297177090 - 0.36.\nAnswer: -2238297177090.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33973 + -33975. Let a(b) = -30*b**2 - 2. Calculate a(y).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 239833 and 20317.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*b = 22*b - 449724. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2015*a - 2016*a - 1234 + 1244.\nAnswer: -a + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 552133 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142987534?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqezegv. What is prob of picking 1 e and 1 q?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-2) + -2 - 3\/(-6). Let s(q) = q + 15. Let k be s(-13). Let y(m) = -c + 8*m + 1 + 5 + m**k + 0*m. Determine y(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 3)*(-1 - 6 - 2) + (0 - 1 + 0)*(-4 + 1 + 6))*((-5*i + 3*i + i)*(i + 3*i + 3*i) + (i - 4*i + i)*(2*i - 4*i + 0*i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231539 is divided by 108?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151 - -123. What is the common denominator of k\/24 - (-1)\/3 and -1 + ((-12)\/(-18) - (-580)\/24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*u - 73, 5*g = -3*u + 97 - 6. Suppose -z = 3*w - 0*w - u, 5*w + 4*z - 46 = 0. Find the second derivative of 2*x**2 - w*x + 8*x - x**2 wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114*a**3*u**4 - 7105*a**3*u + 9*a**2*u + 2*a**2 - 936*a*u - 802418*u**5 wrt u.\nAnswer: 1368*a**3*u**2 - 16048360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13573\/614 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*k + 14 - 6 = 0, 2*k = 3*m - 4. Calculate the remainder when (-14)\/7 - (m - 28) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(12) + (sqrt(972) + sqrt(12) - sqrt(12))) + (-1*sqrt(27) - -1*sqrt(12)\/sqrt(4)).\nAnswer: -82*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177018721 is divided by 724?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*g - 577*g = -24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -144 and 99073.28392.\nAnswer: 98929.28392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 4)*(112\/8)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -12\/142153 (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, -44, 2\/5.\nAnswer: -44, 2\/5, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 2*c - 1. Let b(d) = d**2 - 3*d. Let h(a) = 2*b(a) - 3*x(a). Let z(m) be the first derivative of h(m). Let q(j) = j**2. Give q(z(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 - 2*j**2 + 3*j - 3*j + 2 wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 19?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) -0.2 (b) 5998\/53 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 31. Let y(k) = 1 - n - 10 + k. Suppose 3*o + 35 = 8*o. What is y(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((42\/(-45))\/7)\/(1324\/(-49650))*(-87)\/(-15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2301 - -2361. Put 3\/8, 1, q, 0 in increasing order.\nAnswer: 0, 3\/8, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -313*i**4\/2 - i**3\/3 + i**2\/2 - 78*i + 995. Find the first derivative of t(u) wrt u.\nAnswer: -1878*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-288)\/(-28) - (-2)\/(-7). Let r be (-1 - -1) + c + -2. What are the prime factors of r*1*(3 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -1 + 5. Suppose 0*a + 10 = s*a. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/25 of a microsecond?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1304 + 3320?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117703190?\nAnswer: 2, 3, 5, 37256773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eighteen fifths of a microsecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 5:29 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28305, -113237, -254801, -452997?\n\"Answer: -28316*y**2 + 16*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4843020 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 221173 = 3*p + 221161, -16 = -4*p + 4*y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -67. Suppose l*f + 70 = 7*f. Let g(a) = a**3 - a**2 - a. Let w(p) = 14*p**3 - 20*p**2 - 2*p - 2. Let n(c) = f*g(c) + w(c). Factor n(x).\nAnswer: 2*(x - 1)**2*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -12*m - 10. Let i be s(7). Let z = 159 + i. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**5\/60 - 5*g**4\/12 + 7*g**3\/6 + 2*g**2. Is 2 a factor of l(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -23, -4, -13314, -13 in descending order.\nAnswer: -4, -5, -13, -23, -13314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 1040.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(6) + -1 - (sqrt(16)\/sqrt(8) + -4)) + 0 - (-4 + (sqrt(126)*-2)\/(sqrt(70)\/(sqrt(10) + sqrt(10)*-2))).\nAnswer: -6*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 273\/8, 0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119752.\nAnswer: 2, 14969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 4, -92, 0.5, 0 in descending order.\nAnswer: 4, 0.5, 1\/4, 0, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*x = 132*x - 198. Calculate the greatest common factor of x and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.95 - 11. Let m = h - 0.95. Let o = m - -0.99951. Round o to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Let d be ((-51)\/6 + 2)*x. Let i = -8 - d. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/15)\/(33\/(-55)). Let s = 17 + -14. Suppose -3 = -3*o + s*j, 3*o + 4*j + 18 = -7. Which is the nearest to f? (a) -0.1 (b) o (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*t + 6 = 4, -2*u + 2*t - 26 = 0. Let i = u + 13. What is the first derivative of -3*q**4 + q**i + 2 + 0*q**4 wrt q?\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17836 divided by 14?\nAnswer: -1274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**3 - h**3 + 0*h**3 + (-1 + 3 + 0)*(3*h**3 - 2*h**3 + h**3) + 3*h**3 - 2*h**3 + 0*h**3 + h**3 + 1 - 1.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -785*q**2 + 1626*q**2 - 841*q**2 + 26*q**3 + 2*q - 10*q**3.\nAnswer: 16*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 - -1?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 136689791 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f - 1. Suppose -6*l = -12 + 24. Calculate n(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8755\/2486420*2*8?\nAnswer: 4\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/16551054 and -38\/3915.\nAnswer: 82755270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - ((-6)\/(-3))\/(-2). Let q be (6\/10)\/(l\/(-5)). Suppose f = -7*w + 2*w + 157, -w - q*f + 37 = 0. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 8 + -2 + 43 + -51.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -4*n - 3. Which is smaller: n or 15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 t, and 1 u when three letters picked without replacement from {e: 2, u: 1, r: 1, h: 1, t: 2, q: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h + 23885 - 23570 = 0 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 less than -243?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 + 35*m - 50. Let b(i) = i**2 + 9*i - 12. Let l(z) = -9*b(z) + 2*r(z). Give l(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*36\/192*8\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -u - 5*f, -5*u - 700 = -5*f - 715 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3*i - 75503117*f**3 - 3*f*i - 10404*i with respect to i.\nAnswer: f**3 - 3*f - 10404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*o*p**4 - 13*o*p**3 - o*p**2 + 10*o*p + p**3 + 47 wrt p.\nAnswer: 1008*o*p - 78*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*r + 2639 - 2639.\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(5\/2 + -2). Let j(d) = -2*d**3 - 2*d**2 - d - 4. Let z be j(-3). Let k = z - n. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**2\/7 + 94*b\/7 + 180\/7 = 0.\nAnswer: -45, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbbbsssssss. Give prob of picking 4 s.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -30*h**3 + 2*h**2 + 4*h. Let w(z) = -121*z**3 + 9*z**2 + 17*z. Give 9*b(v) - 2*w(v).\nAnswer: -28*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6 + 4*n - 2*n - 6. Let g(b) = 3161*b + 62. Let i be g(4). Let f(z) = 4*z - i + 12706. What is w(f(o))?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x + 4*u - 34 = -16*x, -28 = 2*x - 2*u for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 10 = -4*d, -d + 22 = 5*h - 3. Let q be 1 + -4*4\/(-8). Let y = d + q. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84451 is divided by 12038.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from zcc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*j = -24*j - 28 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -48\/19, -3, 3, 3\/139, 5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 2 - (-81 + 85)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 617240 and 1170?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 558 = 5*p - 2*c, 0 = -5*p + 2*c - 6*c + 534. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1911 divide 777899304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 94, 202, 328, 472, 634, 814, 1012?\n\"Answer: 9*j**2 + 81*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10 - 2330*y**2 - 10 + 1296*y**5 - 213*y**5 + 1601*y**5 wrt y?\nAnswer: 161040*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2214469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(2 + sqrt(891) + (sqrt(891) - (sqrt(891) + sqrt(891)*1)*3) + sqrt(891) + 2 + (sqrt(891) - (sqrt(891) + sqrt(891) + -3 - sqrt(891))) + -1)**2.\nAnswer: -2592*sqrt(11) + 64440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/5, 1\/87, 14, 232 in increasing order.\nAnswer: -4, -1\/5, 1\/87, 14, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8080 or 8101?\nAnswer: 8080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667864 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3222501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3265954*o - 3265954*o + 9*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - s + 12. Suppose 83*y = 82*y + 145. Suppose 2*a = s*m + 6*a + 272, 2*m = -5*a - y. Round m to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 4:07 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -415, -814, -1189, -1528, -1819, -2050, -2209?\nAnswer: -2284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = -0. Solve s + 3*j + 3 = 0, 4*s = 3*s - 5*j - v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4441.711 millennia in decades?\nAnswer: 444171.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -25 + (-6 - -12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175694 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 18?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 12*h - 4. Let j(x) = 5*x**2 + 61*x + 19. Let c(u) = 2*j(u) + 11*v(u). Suppose -5 = r - z, 8*z + 15 = 5*z. Determine c(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d**4\/7 + 4*d**3\/7 + 2*d**2\/7 - 4*d\/7 - 3\/7 = 0. Calculate d.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*q - 30. Suppose 4*l + q = 9*l. Which is smaller: l or 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9132891\/68360 - 1\/13672. Let g = -134 - j. Which is the closest to g? (a) -0.2 (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f**2 - 24*f - 48. Let u(g) be the third derivative of g**5\/12 + g**4 + 8*g**3 - 40*g**2. Let k(s) = 2*l(s) + 3*u(s). Factor k(n).\nAnswer: 3*(n + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, 15576, -89, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 2*p**2 + 3*p. Let j be f(4). Let d = -20 - j. Suppose 4*q - 7 - 9 = d. What is the least common multiple of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 3 + 3 + 3 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1031333 + -2?\nAnswer: -1031340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m = 28*m + 15. Solve 2*u - r - m = 1, r = -u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41468 and 0.04.\nAnswer: -1658.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a millennium in months?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -4) + (3 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2527*b. Let r(o) = 11*o**2. Determine c(r(h)).\nAnswer: -27797*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33627*w**3 - 13 + 23 - 33582*w**3 - 10.\nAnswer: 45*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-294)\/637*26\/(-4)). Solve -1\/3*i**3 + 1\/9*i**2 + 1\/3*i**4 - 1\/9*i**5 + l*i + 0 = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19263, 19304, 19345?\n\"Answer: 41*j + 19222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 145 = 3*u, 0 = -2*i - i - 15. Is (-522)\/(-8) - u\/(-160) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/42264 and 13\/37568.\nAnswer: 338112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -1\/60*d**5 - 4*d**2 - 1\/12*d**4 + 0*d + 1\/6*d**3 + 0. Suppose 5*o + 8 = x, -o - 12 = 2*o + 3*x. Determine a(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 5*d**4\/2 - 2*d**3\/3 - d**2\/2 + 1. Suppose 2*b = 14 - 2. Suppose -5*o = -11*o - b. Calculate j(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 5*v**2 - 4*v - 6. Let b be d(-6). Let z = 15 + b. Put -5, z, 0 in descending order.\nAnswer: 0, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 5)*(3*o**3 - 21*o**2 + 21*o**2) in the form v*o + a*o**3 + q*o**2 + i and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264, 2193, 7570, 18171, 35772, 62149, 99078, 148335?\nAnswer: 211696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/437 and -99\/39734984.\nAnswer: 754964696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*j - 8. Suppose -j*k = 3*x - 73, -2*x - 4*k - 28 = -76. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -7*a + 2*d - 12, -2*a - 5*d = -6. Let m = -376 + 375. List the prime factors of ((-136)\/(-16))\/(m\/a).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 0.5, -0.2, 1\/11, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 3 + 9. Let z(l) = 10*l**2 + 2*l + 1. Let o(p) = -p. Let q(w) = d*z(w) - 2*o(w). Differentiate q(b) wrt b.\nAnswer: -20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(48)\/sqrt(6))\/sqrt(4) + -5 + -2 + sqrt(2) + sqrt(2))*-2 + -3 + -2)**2.\nAnswer: -108*sqrt(2) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 + -4252*(4 + 36\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttzzttcsctthzzszz. Give prob of sequence ht.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 6:35 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 3*x - 431 + 411, -z + 30 = 5*x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + sqrt(1053) + 1 + sqrt(1053)).\nAnswer: -4 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 7:32 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010101 (base 2) in base 14?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1312312 (base 5) to base 7\nAnswer: 135451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 2*d - 19 + 27 = 0, 6*x - 2*d = 2*d + 48 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6*m + 19 = 2*m, 0 = 2*m + 2. Sort 1, h, 0, -3.\nAnswer: -3, 0, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0961 + 0.5961. Sort 4\/7, 2\/19, k.\nAnswer: 2\/19, k, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*c + 78 = 1181 + 2887 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 5 - -2 - (-6 + 2). Let r be -1 - (z\/12 - (-78)\/24). Let t be (-4699992)\/10 + (-5 - 21\/r). Round t to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -659*k + 596. What is z(2)?\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 11*p**4\/24 - 2*p**2 - 327. Let c(g) = 42*g**2. What is c(w(m))?\nAnswer: 5082*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2 - 16. Suppose -5*u + 20 = -q - d, 0 = 4*u + 3*q - 12. Let r(k) = -k**3 + 6*k**2 + 2*k + 7. Calculate the remainder when r(u) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 894065238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 5*a**2 + 3*a - 6. What is i(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7797.8 rounded to the nearest one hundred?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, 1, 30, 75, 136, 213?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -210 or -325?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5 - 1202*p**4 - 1223*p**3 + 24060*p**2 = 0. What is p?\nAnswer: -5, 0, 4, 1203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03391009 + 0.0339. Round n to 7 decimal places.\nAnswer: -0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108785?\nAnswer: 5, 21757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 2. Let f(j) = 5*j - 6. Let r(l) = -11*l + 12. Let y(o) = -9*f(o) - 4*r(o). Let i(h) = -2 + 3 + 0. Calculate k*y(p) + 6*i(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 379466*n*w**3 - 2613*n*w**2 + 14*n*w - 4*w**3 + w wrt w.\nAnswer: 2276796*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 256 + -243. Suppose v = 5*k - 2*v - u, 4*v = -k - 2. Suppose -3*h + 4*f - 9 = 0, h + 1 - 14 = -4*f. Solve -2*n + h = 2*j - 3, k*n - 2*j = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/20 - (-3 + 3))\/((-267)\/(-7565))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*n - 2679*n + 317791 = 77803 for n.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5509 + -5511.1. What is the third biggest value in -2\/5, -5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*l - 58 + 374 = -6 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31970 by -11.\nAnswer: 31970\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27170 = -10*c - 4500. What are the prime factors of c?\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/585 and 56\/(-5) + 12 - (-3574)\/(-4680)?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4982\/3 + -1599. Let w = -309\/5 + i. Sort 2, -2\/9, w, -1.\nAnswer: -1, -2\/9, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18, -55, -104, -171, -262?\n\"Answer: -x**3 - 30*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1786219568.\nAnswer: 2, 7, 53, 61, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 4*z - 1. Let v be t(3). Is v\/(-8) - 3 - (-269)\/4 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2976 and 744?\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101082762 to the power of 1\/3, to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 0*g**2 - 5*g**2)*(3 + 0 - 1)*(53*g**2 - 127*g**2 + 1420*g**3 + 74*g**2).\nAnswer: -5680*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2306073.5, 3, 1\/2 in ascending order.\nAnswer: -2306073.5, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 17*j + 750 - 1010 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c + 6*c + 11*c)*(-66*c**2 + 108*c**2 + 188*c**2 + 10*c**2) to l*c**2 + y + f*c**3 + q*c and give f.\nAnswer: 5040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 11 + 6 = -11*g + 36, -5*f = 3*g - 43 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(363)*5 + 6*5*sqrt(363))**2 + -2.\nAnswer: 444673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*d**2 + 329*d**2 - 16*d + 16*d.\nAnswer: 214*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 5*v**2 + 5*v + 917. Let f(h) = h**2. Determine f(c(d)).\nAnswer: 100*d**2 + 100*d + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 5:21 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 14*f + 11 - 6 + 10. What is the remainder when 134 is divided by a(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f**3 + f**2 + 5*f - 4. Let p(u) = -4*u**3 + 2*u**2 + 4*u - 5. Let w(a) = 3*o(a) - 4*p(a). Let m be w(5). Solve 0 = k + m*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(1\/1*1). Suppose 2*h = -c + 2 - 3, -3*c = 2*h - 5. Suppose -c*z - 2*z + 35 = 0. Calculate the greatest common factor of z and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 - 2*f**2 + 12*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 + 151 + -82 + 69 + 1.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-33)*198825\/(-8435)\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8978*b**3\/3 + 245488*b**2 + 7326*b + 164\/3.\nAnswer: 2*(b + 82)*(67*b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*x**4 + 5*x**2 - 5*x - 2422 wrt x.\nAnswer: 192*x**3 + 10*x - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qss when three letters picked without replacement from {q: 1, m: 2, i: 6, s: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 8*d + 16. Calculate the remainder when 44 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16191448 + -0.5013\nAnswer: 16191447.4987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 866864 + -295?\nAnswer: 866569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.323 times -200.24\nAnswer: -64.67752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -25*i - 2\/3*i**3 + 0 + 1\/5*i**5 + 0*i**2 + 0*i**4. Solve u(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1161925 + 1161925 - 5*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 73 + 144 - 55, 5*a - 15*r + 50 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -672188, -2689273, -6051080, -10757609?\n\"Answer: -672361*i**2 - 2*i + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(288) - (sqrt(19) + -1)*-4) + 0.\nAnswer: -4 + 25*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -26 - (-371 + 402)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2465 and 54485?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -83*p. Let r(h) = -8*h - 334. Let l be r(-42). Let u(f) = -7*f + 10*f - 3*f + 3*f - l*f. Calculate w(u(a)).\nAnswer: -83*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 114 - 136. Let r = 28904 - 28824. What is the smallest common multiple of k and r?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000569310661 rounded to 7 dps?\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-24) + -2)\/(-5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 10, -0.00525?\nAnswer: -0.00525","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 33. Let m be y(17). Suppose 7*c - 2*c = 10. What is the greatest common divisor of c and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - s = -23, -9*h + 7*h + 3*s = -16. Let l be -378 + (3 + h)*2\/(-4). Which is greater: l or -383?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 559*a**7\/21 - a**4\/12 - 169*a**3\/2 - 2329*a + 2. What is the second derivative of b(l) wrt l?\nAnswer: 22360*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74*s**2 - 144*s.\nAnswer: -148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**4\/24 + j**3\/3 - 78*j**2. Determine m(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-1\/40)))\/s*((s*s**(-10\/13)*s*s)\/s)\/s assuming s is positive.\nAnswer: s**(-387\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 310036115 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.259 + 2.259. Which is the third smallest value? (a) -1 (b) -4 (c) 12\/5 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**7\/420 + h**5\/40 - h**3\/2 - 5*h. Let t(n) be the second derivative of y(n). Find the second derivative of t(f) wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -13014?\nAnswer: 13006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/4 of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 (base 16) in base 11?\nAnswer: 2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 181 and 2137586?\nAnswer: 386903066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1634500 rounded to the nearest ten thousand?\nAnswer: -1630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 441771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05190893 rounded to 4 dps?\nAnswer: 0.0519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 - 21*l**3 + 4*l**2)*(4 + 1 - 3)*(-2*l**2 + 0*l**2 + 3*l**2).\nAnswer: -42*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -22 + 0*i**2 + 6*i + 3*i**2 + 26 - 2*i**2. Let g = 0 + -5. Let l be x(g). Which is the second biggest value? (a) l (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 4*b**2 - 8*b - 9. Let u be q(-5). What is the greatest common divisor of u and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5940 and 420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -2*x + 2*n + 87, n = 6*x - 61. Solve t - w - x = -5, 23 = 4*t - 3*w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*g**3*p*t + 156*g**3*t + 765*p*t wrt g?\nAnswer: -18*g**2*p*t + 468*g**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 122292 - 66211. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 5.2. Let w = 6.2 + o. Which is the second smallest value? (a) 0.8 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*k**3 - 25*k**3 - 38*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10199 is divided by 3368?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -129, -137, -145, -153, -161, -169?\n\"Answer: -8*t - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 2*z - z + 0*z - z + 2*z + (z + 4*z - 6*z)*(0 + 3 - 5) + 0*z + 0*z - z)*(-1 - 1 - 3).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*v**5 - 111095*v**4 + 562420*v**3 - 918095*v**2 + 487180*v - 20300 = 0 for v.\nAnswer: -1015, 1\/22, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71480, 71477, 71472, 71465, 71456, 71445?\nAnswer: 71432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 29*t**2 + 435*t + 11321. What is v(-28)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -322302?\nAnswer: -322311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/7? (a) -4 (b) 7 (c) 0.02 (d) 5 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1966, -3933, -5900, -7867?\n\"Answer: -1967*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 365 + -202. Let m = 163.7 - c. Let q be 1*1\/(-3)*-3. What is the nearest to 0 in q, -2\/5, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -11*b**6\/60 + b**5\/60 - b**4\/24 - b**3\/6 + 5*b**2. Is z(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 104\/(-1716) + (-1324)\/(-66). Sort -2, -0.4, -34, p in decreasing order.\nAnswer: p, -0.4, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 460\/53 - 7006\/795. What is the third biggest value in 0, 1.3, 0.28, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/4 + 227148\/(-23867)?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 5*b - 4*b. What is the remainder when b is divided by (-391)\/(-34)*(-2)\/(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 6.5. Let y = 12.74 + 0.26. Let f = -12 + y. What is the closest to 2 in i, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1284231090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-4\/17)*d*d**(-16)*d assuming d is positive.\nAnswer: d**(-217\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26854493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*g - z - 171, 4*g + 5*z + 66 - 4 = 0 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-11 - ((1 - -3) + -2))) + 1594 + -1700?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**3 + 3*t**2 - 3*t. Let x(l) = 5*l**3 - 2*l**2 + 2*l. Let z(q) = 2*q**2 - 42*q + 163. Let p be z(16). Determine p*x(j) + 2*c(j).\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1600)\/260 - -6*1. Sort -14, f, 2 in descending order.\nAnswer: 2, f, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -382823*a**2*k**2 + 13*a**2*k + 2*a**2 - 38*a*k - 38*k + 2 wrt k.\nAnswer: -765646*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 3231, 4, 324?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a + -4a62?\nAnswer: -4994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 10:46 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 3. Let g be r(-3). Let k be g\/(-3 + 2) + 5. Suppose 0 = -2*n + 4, -k*s = n - 7 - 5. Solve 0 = -2*w + 3*j - 0*j + 2, 0 = -s*j - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2793\/28)\/(-19))\/((-12)\/(-64)*-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 14 = -2*p, 3*p - 4 = 188*m - 187*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*l - 9*l + 12*l + (l + 0*l + l)*(0 - 3 + 5) - l + 5*l - l.\nAnswer: 25*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3205*t - 35267. Give g(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-7)\/(-4)) - (-644)\/98. Solve -6*s = -4*s + g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/112 - 3233\/1680. Let o be 8\/18*24\/(-8). Let s = o - p. What is the second smallest value in -0.4, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.4 + -15.3. Let f = 0.105 - -0.195. What is the nearest to 1 in c, 1\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + p + 4*p + 2*p + 0*p - 3*p + 1 - 1 - 2*p + (5 - 5 - p)*(-1 + 0 + 2) + 5*p - 3*p - 4*p - 4*p + 4*p + 2*p - 5*p - 79*p - 7*p.\nAnswer: -93*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**3 + p**2 - 13*p. Let q(g) = 5*g + 1. Let o(a) = -4*c(a) + 5*q(a). What is o(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**3\/9 - 176*f**2\/9 - 2*f\/9 + 176\/9 = 0.\nAnswer: -1, 1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/3, 7 in increasing order.\nAnswer: -1\/3, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 118*x**3\/3 + x**2 + 339*x - 74. Differentiate g(u) wrt u.\nAnswer: 236*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvtttvitvvttiv. What is prob of picking 4 t?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*y + 387*y + 13 = 4*a + a, 0 = -2*a + 5*y - 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97*d + 59*d + 38*d + 35*d**3 + (-16*d**2 + 55*d**2 - 29*d**2)*(-6 - 6*d + 6) to u*d + r*d**3 + c*d**2 + i and give r.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooys when four letters picked without replacement from {s: 2, b: 1, y: 1, o: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (11 - -8 - (-4 - 34))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(3402\/390)*((-720)\/75)\/(-16)?\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -371 + 392. What is the least common multiple of 49 and b?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126967305 is divided by 2790.\nAnswer: 2775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7764672*k**3 + 42627*k**2 - 14209*k + 14209. Let s(c) = -1093*c**3 + 6*c**2 - 2*c + 2. Determine -14209*s(x) + 2*u(x).\nAnswer: 1093*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -68 - 29. Let s = t + -4. Suppose -4*c - 248 = -4*l, 3*c - 427 = -5*l - s. What is the greatest common divisor of 26 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-6)\/(-35))\/((-8)\/130) and 2610\/(-9744)*4\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 64b?\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639788659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 83 = -4*t. Suppose 0 = -279*y + 276*y + 12. Solve 4 = y*a + t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03280735 rounded to 3 decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2336, -2342, -2348?\nAnswer: -2354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 9*v - 1924. What is the lowest common multiple of c(-41) and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x + 52 = m, -2*m + 2*x + 112 = 0. Calculate the remainder when m is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2782752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106542087 divided by -3.\nAnswer: 35514029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 35\/(-7) - (4 - -1). Let k be (4\/(-10))\/(-1)*t\/(-4). Suppose s - 1 = 4*q + 7, -q - 3*s - 2 = 0. Put -5, k, q in descending order.\nAnswer: k, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 257076 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.897042 years to centuries.\nAnswer: 0.09897042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37869*w**2 + 519*w + 12373*w**2 - 519*w.\nAnswer: 50242*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(396) + sqrt(396))*3.\nAnswer: 234*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26743 + -15677. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2 - 799*j + 10017. What is u(12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 835 + -480. Let h be ((-2709)\/(-72))\/7 - 3\/8. Suppose -3*c + 7*g - 3*g = -y, 609 = h*c + 2*g. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -10 - 5. Which is the third smallest value? (a) y (b) -0.7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2. Let v = -8 - -13. Suppose 0 = 5*h + w - 59, -4*w = -h + 21 - v. Let p(d) = 12 - 2*d**2 - h. Determine t(p(y)).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**3*o*t + 6*n**3*t + 7*n**3 + n**2*t - 5*n*o*t - 2*n*o wrt n.\nAnswer: -12*o*t + 36*t + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -73 (base 12) to base 16\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27817 is divided by 1837.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (9 + (-78)\/6). Solve 8\/3*b + 2\/3*b**3 - 8\/3*b**2 + m = 0 for b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 9:15 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m + 4. Let j be b(4). Let p = -12 + j. Let q(t) = 3*t - 1 + 0 + 3*t**2 - 4*t**2 + 2*t. Determine q(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 212.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1758*b**3 + 597*b**3 - 6360*b**3.\nAnswer: -4005*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 602 divide 16344300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10163 and 1?\nAnswer: 10163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + o - 17. Let q be m(-5). Suppose 3*g - g = 5*j - 17, -q*j + 5*g = -14. What is the highest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1132, -2295, -3448, -4591, -5724, -6847?\nAnswer: -7960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*w + 21*w + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-21))\/(-28*(-4)\/98)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 66, 76, 86?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/7, -2, 0.6, 27\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 251017404?\nAnswer: 251017407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 10*l**2 - 8*l - 1. What is the remainder when 13 is divided by b(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - ((-73 - -80) + (-21 - 2) - -63).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - m - 6. Let s be j(0). Let a(t) = -t**3 - 6*t**2 - 2*t + 6. Let o be a(s). What is the greatest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*w + 11 + 69 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 2:16 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 49, -4, 4, -7.\nAnswer: -7, -4, 4, 40, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**3*u**2 - s**3*u - 1081*s**3 + 9*s**2*u**2 - 510*s**2*u + 20092*s*u**2 + 2*s*u - 4*u**2 wrt u?\nAnswer: 4*s**3 + 18*s**2 + 40184*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x. Let m(z) = 6*z. Give -6*m(r) + 5*p(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35161?\nAnswer: 7, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - -1. Let x = 26 - -14. Let b = x - 14. What is the remainder when b is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -9*z + 5. Suppose 0 = 3*h - 6 - 3. Solve 0 = 2*a - y + z, 2*a + 17 = h*a + 3*y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -40\/79887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37279 and 0.21.\nAnswer: -7828.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 552204676 to the power of 1\/2, to the nearest integer?\nAnswer: 23499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - t + 26 = 11*l, 0 = 23*l - 5*t - 136 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32, -1283, -2598, -3913, -5228?\n\"Answer: -1315*j + 1347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 19 = -2*p, -3*p = p - 5*f - 23. Suppose 8 = -p*g - 0*g. Let c be 2\/g*(1 + -19). Solve 3*n + 0*n + c = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**5 - 20315*j**3 - j**2 - 1639710*j wrt j?\nAnswer: -20*j**3 - 121890*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*a - 52 = -5*j + 40*a, -3*j = 2*j - 3*a - 58 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express s**4 - s**4 + 4*s**4 + (0*s + 0*s - 2*s**2)*(3*s**2 + 1 - 1) as p*s**2 + z*s + v*s**4 + r + x*s**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from yyoyovooovyoyooyoo?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-6 - (-7 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-234)\/(-195))\/((-54)\/(-10))*(-18)\/7.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2060271 and 333.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (153\/87)\/((-1720)\/(-49880))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 32 - 674 = -4*y, 3*t = 5*y + 1026. List the prime factors of t.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. Let m(f) be the third derivative of -f**4\/24 + f**3\/3 - 2*f**2. Let v be m(k). Solve v*g + 10 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from tntbgnnnnntn.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*z = -1017, 0 = -0*z + 3*z + 15. Let v = 253 + d. Which is bigger: v or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 3:02 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 507390\/11 equal to 46126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.452 and 0.193.\nAnswer: 2.210236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 7112?\nAnswer: 14224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4778 at least as big as -4782?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 3*v + 14, 4*i - 142 = 4*v - 150 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 864 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -233729.334 rounded to the nearest one hundred?\nAnswer: -233700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-2))\/(-6*1\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, 5, 6\/19, 0.3 in ascending order.\nAnswer: -4, -0.1, 0.3, 6\/19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 - (-1080)\/75. Suppose -5*p = 2*p - z. Suppose 0 = 27*h - 10*h. Which is the second biggest value? (a) p (b) 5\/3 (c) h (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2 - 8633*x - 16446210 = 0?\nAnswer: -5795, -2838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 12. Let m be o(-4). Suppose m = 4*n - 0, -n = -5*y + 21. Let z = 16 + -13. Sort y, z, 1 in descending order.\nAnswer: y, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-2)*(-2)\/4. What is the closest to -2\/5 in 1\/12, -2\/7, o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s - 4 = 0. Let q(v) = -2*v**2 - 2*v + 1. Let h be q(s). Let k = 1 + h. Is -2 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b840 (base 13) to base 2\nAnswer: 1101001101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -618, -1231, -1844, -2457, -3070, -3683?\n\"Answer: -613*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -40*w**2. Let y(u) = -19*u**2. Give f(y(m)).\nAnswer: -14440*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by 3547.\nAnswer: -44\/3547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (762 - 752) + (-2 + 2 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235972, 471893, 707814, 943735, 1179656?\nAnswer: 1415577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 1)*(3*c**4 - 3*c**4 + 4*c**4) - 115 - 3*c**4 + 113 - 8*c**3 - 4*c**2 + 3*c**3 to p*c**3 + j*c**2 + y*c**4 + x*c + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7530 take away -1708930?\nAnswer: 1701400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p - 4*p + 2*p)*(-101 + 27 + 7)*(-2*p**2 + 2*p**3 + 2*p**2).\nAnswer: -1072*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 216\/32 + -4 - (-3)\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1804.57 rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 11) to base 2.\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1899145 and 15390?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16956 + -84782\/5. Which is the third smallest value? (a) i (b) -1\/58 (c) 6\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725*i - 727*i - 5*f + 36 = 0, 4*i + 2*f - 24 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pappawwwppawwbp. What is prob of sequence abw?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f = 3*q + 40, 233*q = 4*f + 237*q + 24 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 1:42 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i**3 + i - 1. Let v be 1\/2 + (-50)\/4. Let d = -3 - v. Let a be ((-6)\/d)\/((-2)\/3). Calculate p(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-1\/9)*x)*x**9)\/(x**(-2))**(-11) assuming x is positive.\nAnswer: x**(-127\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31978791 and 702?\nAnswer: 191872746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c**2 - 5*c**2 + 0*c**2)*(-4 - 6*c**2 + 4*c**2 - 15) to the form o + s*c**3 + n*c + u*c**4 + p*c**2 and give p.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/(sqrt(12)*-2))**2 - sqrt(7)) + ((sqrt(7) - (sqrt(7) + 0)**2) + sqrt(7))*2.\nAnswer: -49\/4 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**5\/4 - 5*r**4\/12 + 5*r**3\/6 + 5*r**2\/2 + 6*r. Factor a(n).\nAnswer: -5*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 1. Let w be (-3)\/(-3)*-3*3. Calculate the smallest common multiple of 3 and b(w).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -440*0.0432396\nAnswer: -19.025424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 31, -3\/7, 3, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.33 (c) 0.1 (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 34, -210, -570, -1070?\nAnswer: -1734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 51.4193.\nAnswer: -15.42579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.6 - -6. Put -4, i, 1.4 in decreasing order.\nAnswer: 1.4, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -1)\/(2\/1). Let z = x + 5. What is the tens digit of (-2)\/z + 8398\/95?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 15*v**2 + 23*v - 93. Calculate the remainder when m(10) is divided by 126.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8389468 - 8389432.0000096. Let h = o + -36. Round h to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d683 (base 15) to base 5\nAnswer: -2422343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 13464796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -5.1?\nAnswer: -40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffyfyfnyfpfz. Give prob of sequence yf.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79468319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f + 2*f)*(-5*f**2 + 3*f**2 + f**2) + 3*f**3 + 10*f**2 + 4*f**2 - f**2.\nAnswer: f**3 + 13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(5*sqrt(11)*1 + sqrt(11)))**2*-3 + (-1*sqrt(320) + 1 + 0 + 2*sqrt(5)*-1)**2.\nAnswer: -20*sqrt(5) + 1498\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -4 + (54 - 29)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 890 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 7*l - 24. Sort l, 1, 0, -5.\nAnswer: -5, 0, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*g + 16*g + 651 = 41*g for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 15)*(0 + 2 - 1)*(3*v - 2 - 3*v + 4*v).\nAnswer: 64*v - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 8:12 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -793 - -798. Put -468, 1, a in descending order.\nAnswer: a, 1, -468","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97*z - 44 + 44)*(-7 + 3 + 2)*(-2*z - 3*z + 4*z)*(-2*z**3 + z**3 + 3*z**3).\nAnswer: -388*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211120201022 - 100011?\nAnswer: -1211121001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/2 + 9*p\/2.\nAnswer: 3*p*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5)\/(7\/(140\/4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35407*a + 70664*a - 35256*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*s + 12*s + s.\nAnswer: 44*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4716 and 2209708.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {o: 4, z: 4, e: 3, s: 6, v: 3}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*w**3 + 31*w - 12*w**3 + 29*w**3)*(1 - 2 - 1).\nAnswer: 8*w**3 - 62*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8*c + 4. Let g(x) = -x**2 + 2*x + 9. Suppose 0 = -37*v + 43*v. Let h be g(v). Let d(y) = -17*y - 9. Calculate h*r(b) + 4*d(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**4 - 53955*b**3 - 145043265*b**2 + 2774359475*b - 2629262250 = 0.\nAnswer: -5405, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiii. Give prob of picking 2 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-4 - (-3 - -1)). Suppose l = 5*s - 9 - 6. Suppose -4*h + s*h + 91 = 0. Is 25 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-23)\/(3\/(-2) - 1\/(-2)). Suppose 0 = 4*h - i - 515, -148 = -h + i - c. List the prime factors of h.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 209\/76 - 3\/(-12)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.42 - -1.82. What is the nearest to -1 in 0.1, m, -0.4, 18?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/75 and -6\/175?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**2 + 18*p - 44 = 0.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4579 - -17176073\nAnswer: 17171494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5056 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 10:52 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-75)\/10)\/(-15))\/(2\/16). What is the greatest common factor of u and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 49 and -7.60717.\nAnswer: 41.39283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 181?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3637473023 plus -10.4?\nAnswer: 3637473012.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -d - 18*r + 19*r, -24 = d - 4*r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2. Let h(x) be the first derivative of -2*x**3\/3 - 239. Let s(y) = -22*y**2 - 2. Let q(g) = 2*h(g) - s(g). Give a(q(k)).\nAnswer: -972*k**4 - 216*k**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 + 3327 + 2*f**2 - 410 - 3*f**2.\nAnswer: 2*f**2 + 2917","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314 - -18 - (-1)\/1?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 255 - 219. Suppose -y = 85*w - 87*w. Let t = 305\/4 - 815\/12. What is the common denominator of w and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*l + 2, -3*l + 8*l - 8 = 4*w. Let a(m) = m**2 + 4*m + 5. Calculate the remainder when (-194)\/w - 10\/(-35) is divided by a(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**5\/20 - 2*c**3\/3 + c**2. Let j be 46956\/17 + 114\/(-969). Let h(x) = -j + 0*x**2 + 3*x**2 + 2757. What is -4*h(n) + 5*y(n)?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuruuruuru. Give prob of sequence rrr.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*l + 16073 = 0, 3*i + 4370 - 52575 = -l. Is 206 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 12*j**3 + 36*j**2 - 3*j - 4. Let w be p(-3). Let o(i) = i - 18. Let d(h) = -h + 12. What is w*o(q) + 8*d(q)?\nAnswer: -3*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-6)*5\/30*-4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0467 less than 297?\nAnswer: 297.0467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3254 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15261, 15263, 15267, 15273?\nAnswer: 15281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/6 and 89\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 15*q**2 - 13*q + 18. Let m be k(-14). Suppose -m*y - 2*c = -3*y - 13, 5*c - 35 = -3*y. Calculate the greatest common factor of 2 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*s**3 + 2998*d*s**2 + 163*d*s + 2*d + 244*s**3 + 46*s + 22 wrt s.\nAnswer: -6*d*s + 5996*d + 1464*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 - 23*i + 8. Let v be s(-12). Let p be v\/((-24)\/30) - -8. Suppose -4*r = 2*q - r - 39, 3*q = 5*r + 11. Is p at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-14)\/4)*(-2 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2915\/(-212))\/((-10)\/8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g**3*v - 431*g**3 - 628*g*v**2 + 26 with respect to v.\nAnswer: 4*g**3 - 1256*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**5\/3 + 140*r**4\/3 - 1048*r**3\/3 + 3056*r**2\/3 - 3808*r\/3 + 1664\/3 = 0.\nAnswer: 1, 2, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, f: 1, o: 11}. What is prob of sequence oott?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - n + 1. Let v(w) = 6*w**2 + 5*w - 15. Calculate 5*s(a) + v(a).\nAnswer: a**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221022021 + 1121?\nAnswer: -221020200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -32*g**2. Let q(p) = 2*p - 6. What is r(q(c))?\nAnswer: -128*c**2 + 768*c - 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 8*v + 216. Let b = v - 291\/4. Let f = 5 - 6. Which is bigger: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419110999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*g = 519*g - 552 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -35*k - 14. Let j be n(-2). Suppose 42 = 3*i - 3*z - 2*z, j = 4*i - 3*z. Suppose -3*v + 101 + 4 = 0. Calculate the highest common divisor of i and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxuuuuuuguuux. Give prob of sequence guxu.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o. Let x be s(5). Suppose 0 = -4*w - x*f + 27, 2*w + f + 9 = 6*f. Solve -3*i - i = v + 15, -w*v - i = 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -704951084 less than -704951084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 0)*(745 + 386*n - 43*n - 747)*(3*n**4 - n**4 - 3*n**4).\nAnswer: -686*n**5 + 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-180)\/46 - (-250)\/(-2875). Sort 1\/5, 27.1, p.\nAnswer: p, 1\/5, 27.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1 + 3 - 16 - 2*r**2 - 6*r. Let l be k(-7). Is 2290\/8 - 51\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 605895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.07 - 84891155684.\nAnswer: -84891155687.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 525 and 832965.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + m + 1. Let u be j(-2). Suppose k + 2*k - 45 = u*r, 4*k + r - 80 = 0. Suppose -4*n + 3*n = -19. Is k smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*f**5*z + 2257*f**4*z**2 + 137961*f*z**2 - 2*f wrt f?\nAnswer: 240*f**3*z + 27084*f**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -13*g**2 + 8*g + 4. Let w(y) = 14*y**2 - 8*y - 3. Let b(a) = 2*q(a) + 3*w(a). Is b(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/9 and 44\/291?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 10 = 5*j - 0*j, -2*j + 21 = 3*f. What is the third derivative of -k**5 - k**5 + f*k**2 + 3*k**5 - 6*k**5 wrt k?\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*15.3.\nAnswer: -30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 9:09 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -164 > 180785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3335851168 to the nearest integer?\nAnswer: 57757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)*z\/z**37)\/(z**(-29)*z)**(-1\/22) assuming z is positive.\nAnswer: z**(-831\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 227 - 8. Let u = 253 + -215. Calculate the remainder when q is divided by u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 2*u + 6, -6*v + 3*v = -2*u + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.35433*-0.642.\nAnswer: 1.51147986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2)**(1\/10)*m**(2\/5)*m*m**2 assuming m is positive.\nAnswer: m**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138\/11 + 988\/77. Suppose 3*n = 20*u - 18*u - 86, 0 = -5*u + 4*n + 208. Let i be (-16)\/22*(10\/u + 0). Which is the closest to i? (a) -2 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 - 223\/3. Let r = -0.0444 - 0.9556. Sort f, r, 1, 48 in increasing order.\nAnswer: r, f, 1, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 183, 373, 563, 753, 943, 1133?\n\"Answer: 190*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - 10 = -9*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 68\/238 - (117\/(-252) + 1 + 0). Is 267 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l**8))\/l)\/l**(4\/21))**(16\/5))**(2\/19) assuming l is positive.\nAnswer: l**(-6176\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**4*u**(-7))\/((u\/(u\/(u*u*u**(2\/3)))*u)\/u)**(-37))\/(u**(-2\/17)*u**(-3\/2))**(9\/8) assuming u is positive.\nAnswer: u**(79549\/816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21530, 4269, -12992, -30253, -47514, -64775?\n\"Answer: -17261*d + 38791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*w + 644 = -w, -379 = -3*a - 5*w. Suppose -8*f = -4*f - a. Suppose 2*v - f = -4. Which is smaller: 3 or v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b7 + 56?\nAnswer: 11d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**2\/2 + 5256. Let i(u) = 17*u. Give -i(c) + 2*k(c).\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 299300083*a**3 + 311352*a**2 + 103784. Let j(z) = -25955*z**3 - 27*z**2 - 9. What is -9*c(k) - 103784*j(k)?\nAnswer: 12973*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 529*u**5 - 2*u**4 + 1272*u**2 + 2*u wrt u.\nAnswer: 31740*u**2 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**4 + 0*r**4 - 2*r**4 + ((3*r - 2*r + 2*r)*(-3*r + 6*r - 2*r) - 3*r**2 - 2*r**2 + 33*r**2)*(r + 3*r**2 - r).\nAnswer: 95*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-6)*(-96)\/120.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -901*q + 644*q - 5654 = 0 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -15*d**2 - d - 2. Suppose -4*s + 4*m - m + 1 = 0, 5*m = 2*s + 3. Let j be (-7)\/((s + 0)\/1). Let k be c(j). Round k to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36 + 108?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3076\/5 - 616. Is 17 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7248.394 millennia to years.\nAnswer: 7248394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + 0. Suppose 0 = -4*x - 514 + 1558. What is the greatest common factor of x and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1482 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 3259, -2 in decreasing order.\nAnswer: 3259, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 12*x + 15. Let f be t(-13). Suppose 5*c + 50 = 4*n - 7, 6 = 2*n + f*c. Find the common denominator of ((-142)\/n*-3)\/12 and -133\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0032751704 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n**3 + 5*n - 7 + 23*n**2 - 9*n**3 + 17*n**3 - 18. Let d(m) = -8*m**3 - 46*m**2 - 12*m + 51. Let f(z) = 2*d(z) + 5*u(z). Factor f(p).\nAnswer: -(p - 23)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 4:23 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320 + 35998857?\nAnswer: 36000177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 11. Let h = w + 7. Let p = 28.71 - 32.71. Which is the closest to 4\/7? (a) h (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 495405 divided by -99081.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/17? (a) -0.08 (b) -4 (c) -11846\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*((u\/(u*u**29))\/u)\/u*(u\/u**5)\/u*u**(2\/29)*u\/u**(8\/3) assuming u is positive.\nAnswer: u**(-3184\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*k - 134*k + 186*k + 66 = 0. Which is the biggest value? (a) 3\/4 (b) k (c) -126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -4\/3 (c) 15 (d) -6 (e) -0.14 (f) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2, -5, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 2*i - 3. Suppose -6 = 2*q - 2*r + 4*r, -4*q = -r - 8. Suppose 2*x = -n + 5, 5*x + 3*n = 3*x - q. What is k(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 7 - 18. Let v(w) = w. Let j(c) = -7 + 12*c + 0 - 6*c. Let m(r) = 8*r - 10. Let a(l) = 6*j(l) - 4*m(l). Determine k*v(d) - a(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6, -109, -262, -459, -694?\n\"Answer: c**3 - 31*c**2 - 17*c + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -15, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 1 - 1 + 1)*(t + 0*t - 3*t)*(-7*t + 4*t + t).\nAnswer: 8*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1948*a*b**2 + 1298*b**2 wrt a.\nAnswer: -1948*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.4674397 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (sqrt(832)*1 + 0))**2*2 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 562077 divided by 19?\nAnswer: 29583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(12) + sqrt(36)\/sqrt(3)) + (1*sqrt(11)*1)**2.\nAnswer: sqrt(11)\/2 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-44)*781\/(-426).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 51296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.021656 (b) -0.3 (c) -5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*9*(-111000)\/13320.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*y = -1510 - 7247, 4*z - 3*y - 8755 = 0. Calculate the remainder when z is divided by 1092.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)\/(s**(2\/7)*s))**(-9\/8) assuming s is positive.\nAnswer: s**(207\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8*(-24)\/(-310). Suppose -1388*h + 2429 = -210*h - 3461. Which is the biggest value? (a) 1 (b) j (c) h (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/17, 11, 1, -1\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/(-42))\/5*(-356)\/3115?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(2\/13)\/p)**31)**(-44))**(-17\/3) assuming p is positive.\nAnswer: p**(-255068\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 m when four letters picked without replacement from {o: 1, d: 9, x: 3, l: 4, m: 2}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3 = -3*l, -2*l = 3*l - f + 17. Let d be l + 3 + 12 + -2. Let x be (d - 9)*4\/(-22). Which is the third biggest value? (a) x (b) 2 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 11:27 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 44*k**3 - 32*k. Let y(o) = 0*o - 3*o - 14*o**2 + 14*o**2 + 4*o**3. Give -3*i(g) + 32*y(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1646*o - 85844. Calculate b(52).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 124 and 10.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x + 108*x - 27 + 1155 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*(-855)\/(-114).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**5\/12 + i**4\/4 - i**3 - i**2. Let o(b) be the first derivative of 3*b**3 + 11*b**2\/2 - 11*b + 3. What is 6*o(y) - 11*q(y)?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-2 + 9 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Let g = a - -5. Suppose -4*c = -4*d - d - 140, -5*c + 196 = -d. Solve -5*x + g*y = -c, -7*y + 4*y = 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -132351 - -888160. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40460 and 136.\nAnswer: 80920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.18+39.0885641\nAnswer: 38.9085641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.5. Suppose 3*k = -3*r - 363, -4*k - 601 = k + 4*r. Let c be 3 + k\/21 + 2. Put 0.8, c, t in descending order.\nAnswer: 0.8, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z. Let f(q) = 25953747*q. Give f(c(l)).\nAnswer: 181676229*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 - -12) - (-5 + (-6 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -261*o - 1. Let g be q(-7). Is (6\/4)\/(33\/g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -3 (b) 0.1 (c) -0.3 (d) 1\/196\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.27 and 0.73.\nAnswer: -1.6571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.3258674697 - 0.0741318703. Let i = -7.4 - t. Round i to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkee when four letters picked without replacement from ekekeekeekeeekeeekk?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9616.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1100 and 209473000?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -852*d + 823*d - 232 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**3*m**3 - 17*b**2*m**3 - 214781*b**2 + 2*b*m**3 + 25657*b*m**2 + b - 2*m**3 + 2*m wrt b?\nAnswer: 6*b*m**3 - 34*m**3 - 429562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((29 + -13)\/8)\/(0 - 10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -10 - (59 + -56).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 - 22*x\/9.\nAnswer: -2*x*(x + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 - -58. Let n(a) = -a**3 + 3*a**2 + a - 1. Let i be n(q). Solve x + i*x = -6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d - -516?\nAnswer: 4d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9028 - 7?\nAnswer: -9035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 23 in increasing order.\nAnswer: 0, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78887\/4 - 59977\/4. Let v = l - 42613\/9. Find the common denominator of v and (4\/6)\/(40\/1455).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 + o + 4. Let n be v(-2). Let i = n - -23. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1896 - 1748 = -4*j + 2*g, -g - 2 = 0 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1873 less than -1274967.58?\nAnswer: -1274971.7673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 278464\/288 + ((-1)\/(-9))\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18566, 74248, 167050, 296972, 464014?\n\"Answer: 18560*b**2 + 2*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 3 = 4*l. Let s be ((-9)\/(-168))\/(l\/16). What is the closest to s in 2, -1\/3, 1\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/7 + 87820*m**2\/7 + 8149962*m\/7 = 0.\nAnswer: -43817, -93, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -5*z**4\/3 + 37*z**3\/6 - 14*z**2 - 33. Let m(k) be the second derivative of b(k). Differentiate m(c) with respect to c.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29705, -59330, -88805, -118058, -147017?\nAnswer: -175610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 7:13 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 10:21 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3404135.11 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-533*m + 292*m + 69*m)*(-3*m - 2*m**2 + 3*m) + (m**2 - 3 + 3)*(-2*m - 2*m + 3*m).\nAnswer: 343*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*8\/192 + (-455)\/(-20)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 984, 996, 1006, 1014, 1020, 1024?\n\"Answer: -b**2 + 15*b + 970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -208 - -140. Let u = g - -68.00157. Round u to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75 (base 12) to base 2\nAnswer: 1011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/701 or 0?\nAnswer: 1\/701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/10 - 1495\/(-2275).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in seconds?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**2 - 5*n - 2. Let o be v(-4). Let b = o + 88. Calculate the greatest common divisor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + (-302)\/(-4))*(-2)\/(-3). Which is bigger: 50 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 415 and 90?\nAnswer: 37350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9080 is divided by 702?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1279 - -1987. List the prime factors of n.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 650*l + 79. Suppose 0 = -158*t + 163*t - 35. Is i(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8309*m**4*v + 40*m**4 + 6*m**3*v - 2*m**3 + 5*m**2*v - 70*m**2 - 10963*m + 7 wrt m?\nAnswer: 199416*m*v + 960*m + 36*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 0 + 1\/120*l**6 + 1\/3*l**3 + 0*l - 1\/8*l**4 + 1\/20*l**5 + l**2. Calculate w(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*k + 3 - 2, 0 = -s + 5*k - 3. Suppose 7*g - s*g + 98 = -i, 8 = 4*i. Calculate the remainder when 41 is divided by 2\/(2 - g\/(-11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796 is divided by 144 - (1 + 2 - 2)\/((-67)\/(-134))?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-155)\/31)\/(165*(-2)\/12)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d**2 - 2*d + 2. Let v(j) = j**2 + j - 1. Give 3*v(q) + z(q).\nAnswer: -3*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-62 + 4)) + (6 - 21 - (-31 + 22)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - o**2 + o + 24. What is the least common multiple of k(0) and 10 + (9 + -11)*2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + g**3 - 2*g**2)*(-2*g**2 - 3*g**2 + 3*g**2) + 0*g**3 - g**5 + 0*g**3 + 2*g**5 + g**5 - 4*g**5 + 3*g**5 - 2*g**5 + g**5.\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2245 and 1347?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 23*n**2 - 36*n - 4. Let o(l) = -4*l**2 + 7*l + 1. Let u(b) = 33*o(b) + 6*p(b). Factor u(w).\nAnswer: 3*(w + 1)*(2*w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 - -160. List the prime factors of s.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*l**2*m**2*z**3 - 11*l**2*m*z**3 - 44*l**2*z + 20*l*m**2*z**2 - 2*m**2*z wrt z?\nAnswer: 60*l**2*m**2 - 66*l**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/14)\/(-53*65\/13780).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6) - 39\/(-9). Suppose 4*q - 2637 = -s*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*4)\/(105\/70)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcc when three letters picked without replacement from {b: 2, c: 10}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 59\/1770*5\/1. Let d = 5.8 - 6. Let p = 0.15 + d. What is the second smallest value in -0.3, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 4*z**2 + 2*z - 1. Let r be g(4). Suppose -455 = -0*h - r*h. What are the prime factors of h?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.948 - -0.052. Let n = -22 - q. Let z = 27.15 + n. Round z to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 31 + 7 = 0. Let s(d) = 2*d**2 + 4*d. Let m be s(u). Let b(n) = 5*n + 1. Let f be b(2). Solve m = -o + f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 274*d + 415038542*d**3 + 7020*d**5 + 11 - 415038542*d**3 wrt d.\nAnswer: 140400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.742 and -0.5?\nAnswer: 1.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 + -38. Let g(y) = -20*y**2. Let q be g(-1). Let t be f\/q - 4\/(-2). What is the closest to t in -1, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*h + 4*x, x = h. Let l(i) be the first derivative of -2\/45*i**3 + h*i + 1\/30*i**4 - 1\/15*i**2 + 2\/75*i**5 + 4. Factor l(n).\nAnswer: 2*n*(n - 1)*(n + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by 1.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10122 (base 4) in base 13?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3 + 3\/8*t**4 - 17\/4*t**2 - 13\/8*t**3 + 5\/2*t = 0.\nAnswer: -2, -2\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-1 + 19 + -3) - -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**2 + 764*n + 1512 = 0.\nAnswer: -189, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - f + 36. Let x be (f\/33 + 0)\/((-3)\/(-6)). Let q = -0.07 - -0.07. Which is smaller: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(117)*-3 + sqrt(117)))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -31662151738?\nAnswer: 31662151738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*x - w, 0 = -4*x - 4*w + 11 + 21. Suppose -x*v = 15 - 26. Put -52, v, -1 in increasing order.\nAnswer: -52, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**4\/12 + q**3\/3 - q**2 - 4*q + 3. Let y(n) be the first derivative of f(n). Let r be -1*(2 + -4) + 0. What is y(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04503234 rounded to 3 decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-4)\/(-3 + -1). Solve -2*z - 3*l - 3 = k, 2*l = -6*z + 3*z - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000001101111 - -10?\nAnswer: 1100000001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) + (-8)\/(-6). Suppose 4*t + 3*x - 47 = 0, -3*t + u + 43 = 4*x. Solve 4*h + 8 = t*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 14*l**2 - 23*l + 14. Let c be v(-12). Let f = 23 + -11. Differentiate -f - c*j - 2 + 8 wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6684865 = -3*k, 4418221 = -5*k - 2*m - 6723293. Round k to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182478 and 294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.8 + 4.8. Let i = o - -18. Let d = i + 0.7. What is the nearest to 0 in d, -2\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 4:06 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 6 = 3*j. Solve -3*y = -5*m - j, -y = 5*m + 6 + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.085 minus 16754253?\nAnswer: -16754253.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 0 + 0*r**2 + 1\/3*r**3 + r + 3\/20*r**5 + 0*r**4. What is the second derivative of x(a) wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -129 + 128.9998325. Round j to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -971 + 20*i**2 + 970 + 19*i**2 - 15*i**2 to k + u*i + c*i**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -6, 3, 4 in descending order.\nAnswer: 12, 4, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035008 rounded to five decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63.9 + 55.5. What is h rounded to one dp?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 33527\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 4:34 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1851 divided by -3?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 382*u + 3276.\nAnswer: 2*(u - 182)*(u - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - -2121023201003?\nAnswer: 2121023201030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f. Suppose 10 = -6*g + g. Let j(r) = r. Let x(c) = g*j(c) + y(c). Let z(k) be the second derivative of -k**4\/3 + 12*k. Calculate x(z(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -48. Suppose 4*m - 4*u - 24 = -0*u, q*m - 4*u - 30 = 0. Suppose -m*k - k + 7707 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, o: 2, j: 2, h: 4}. What is prob of picking 3 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*p - 8174 + 2704 = -114*p + 17671 for p.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195769, 195768, 195773, 195784?\nAnswer: 195801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 116\/(-16) + 4 - (-2)\/8. Let l be (6\/(-18)*-6)\/((-2)\/j). Let h(s) = 1 - 7*s + 10*s + l*s. Calculate h(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9*(6\/9)\/(-2). Suppose k*y = 4*y + 47. Let f = 67 + y. Solve 3*r + 2*r = u - 25, -4*r = 3*u + f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85243.88 millilitres in litres?\nAnswer: 85.24388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-63)\/(-2) + (-7)\/14. Suppose 33 = 4*j - u. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**2 + n**2 - 5*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 2428939?\nAnswer: 2428939.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 + 69. Calculate the smallest common multiple of 43 and h.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*l**2 - 25*l + 1 - 5*l + 13*l**2.\nAnswer: 49*l**2 - 30*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**5\/3 - 2740*y**4\/3 - 789824*y**3\/3 + 100684544*y**2\/3 - 3536568320*y\/3 + 38135398400\/3 = 0?\nAnswer: -736, 22, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 53 = 27. Let a = l - -63. Suppose -k - 15 = 5*i - a, 0 = -5*i + 20. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(1\/2)*d)\/d**(-4)*d**6\/(d*d**(1\/2)))**26 assuming d is positive.\nAnswer: d**260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -7, 2, 19?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2532341?\nAnswer: 7, 361763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00046575861 rounded to 6 decimal places?\nAnswer: 0.000466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 - 5*b**2 + 7*b**2 + 10*b**3 + 39*b - 39*b + 23*b**3 - 2 + (0*b**2 + 4*b**2 - 2*b**2)*(-2 + 2 - 2*b).\nAnswer: 29*b**3 - b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -122.75 - -87.95480839\nAnswer: -34.79519161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78667 is divided by 538?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23413, 23367, 23317, 23269, 23229, 23203, 23197, 23217?\nAnswer: 23269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 0.1 (c) 2 (d) -460\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*v - 10. What is the remainder when 69 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10712863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/7, -11, 4\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -300*d**5 + 853280*d**4 + 17305724*d**3\/3 - 27242792*d**2 + 20846992*d\/3 - 456160 = 0?\nAnswer: -10, 2\/15, 3, 2851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 - 40*z**2 - 10*z**2 + 3*z**2 + (3*z - z + z)*(3*z**2 + 0*z**2 - z**2).\nAnswer: 7*z**3 - 47*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 322?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7119892799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*c - 80, -5*m + 36 = -4*c - 34. Calculate the lowest common multiple of m and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 582400 divided by -70\nAnswer: -8320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 10*w**4 + 12622736*w**3 + 3983334078594*w**2 - 1593335651076*w = 0?\nAnswer: -631137, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 5*k + 28. Suppose 0 = -k*m + 173 + 457. Let g = m - 69. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 5203.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 5*c + 5. Let x be y(4). Suppose 3*m = 3*v, -4*v + 4 = 383*m - 386*m. Solve -3*p = 4*g - x, p = 5*p - v*g + 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/(-4) - -1 - -16. Calculate the greatest common divisor of v and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.2972 minus -0.056004?\nAnswer: 14.353204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1520 is divided by 94?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/((-81)\/(-225000))*5924\/10. What is f rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 h when three letters picked without replacement from {h: 4, c: 2, x: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 152?\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -18. Let c(f) = -f + 35. Let g be c(d). Suppose 8 + g = 2*h. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -270 + -22174?\nAnswer: -22464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/((p**(-1\/5)\/p)\/p)*p)**(-3\/14)*(p*p**(2\/7)\/p*p*p)\/p**(-5\/6) assuming p is positive.\nAnswer: p**(421\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 8, r: 7, g: 4}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.7 + -6. Let c = 0.2 + d. Let f = 6 - 4. What is the nearest to c in -1\/3, 0.4, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 893947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 9*s**2 + 12*s - 10. Determine v(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1335801 and 5?\nAnswer: -0.6679005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*r + 25 = -462*r + 364*r, 3*f + r - 19 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 9:32 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -459 from 29.676.\nAnswer: 488.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 77, 303, 687, 1235, 1953, 2847, 3923?\n\"Answer: v**3 + 73*v**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + -1. Let o(t) = t**3 + 9*t**2 - 11*t. Calculate the smallest common multiple of o(j) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -331 - -457. Suppose 19*k - 61*k = -j. Let i(n) = n + 1. Calculate i(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 322*t - 6. Let s be n(2). Find the second derivative of 0*g**4 - 683*g - g**4 + 2 + 8*g**5 + s*g wrt g.\nAnswer: 160*g**3 - 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7576 - 169 + 6*a**3 + 1522.\nAnswer: 6*a**3 - 6223","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 + -186109629685.\nAnswer: -186109629686.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z + 8*z - 45 = 0. Suppose -4*q + 8 - 32 = 0. Let w be (-16)\/12 + 4\/q. Is w less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 u, 1 s, and 1 a when four letters picked without replacement from ueauasc?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddg when three letters picked without replacement from {d: 2, g: 1, p: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-4) + (-92)\/(-40). Let n = 1 - 1. Let z = n - -0.1. Which is the second smallest value? (a) k (b) -1\/4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5170 equal to -5341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 9 - 11*x**2 + x**3 - 9 + 2*x**2. Let y be b(9). Solve y*o - 3 = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.319 to 2 dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.52 - -0.02. Which is the third smallest value? (a) w (b) 8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*w - 21130 = 3488*w + 59897 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 10*f - 32. Does 8 divide (-4)\/(f\/2)*19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72097629 divided by 1?\nAnswer: -72097629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6425 - -6404. Do 26 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0834*378.\nAnswer: -31.5252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 1.3. Let f = -13543\/21 + 645. What is the closest to 0.8 in h, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*x + 12. Suppose -2*l - 3 = -x*l. Let z be 82\/(-26) + 30\/195. Sort l, -2, z in decreasing order.\nAnswer: l, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(4\/11)\/g)\/g)\/g**(2\/11) assuming g is positive.\nAnswer: g**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-1\/2)\/i*i)**(-3))**41)**(-1\/10))**(-31) assuming i is positive.\nAnswer: i**(3813\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -6, -4.6, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 1, q: 1, p: 4, m: 1}. What is prob of sequence qm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*k**4\/7 + 14240*k**3\/7 + 122068*k**2\/7 + 301712*k\/7 + 193920\/7 = 0.\nAnswer: -40\/9, -3, -1, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100)\/sqrt(2) + sqrt(50) - sqrt(50))*6 - sqrt(450)\/(sqrt(36)\/sqrt(4)))\/(sqrt(30)\/(sqrt(12)\/sqrt(4)) + sqrt(10) + sqrt(40)\/sqrt(36))*1)**2.\nAnswer: 1125\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j - j + 1 + 3*j**3 - 2*j**3. Let n be x(2). Solve -1 = -n*b - v, -b - 6*v + v = 23 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234 = -15*p + 204 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**8\/288 + 4*y**7\/105 + 13*y**6\/180 - 299*y**5\/180 - 5*y**4\/16 + 275*y**3\/18 + 6341*y**2. Solve h(s) = 0 for s.\nAnswer: -22\/7, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 26*z - 3 + 3 to the form o + w*z and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 56704.9 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 + 127*q + 21951. Give h(-78).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-9)\/(a\/a**(-2\/35)*a) assuming a is positive.\nAnswer: a**(-387\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -3, 0.01, 0.17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b - 14. Let g be t(4). Let w be 2\/(-2) - (3 - g). Let u(v) be the second derivative of v**4\/12 + 2*v**3\/3 - v**2 - 2*v. Determine u(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 10 = 6*x - 10*x, -10 = 2*x + 5*p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 9\/4 + 0*u**3 - 3\/4*u**4 - 6*u + 9\/2*u**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-7*(-5)\/(-10))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 415244 or 415276?\nAnswer: 415244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + s**2 + 2*s. Suppose -8*a + 4*a - 20 = 0. Is p(a) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.277 - -0.402. Are 0.2 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51662889.\nAnswer: 3, 5740321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/11*(155496\/186)\/(-76)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 3*d**2 + 3*d + 4. Let w be q(3). Let f(g) = -9*g - 1. Let s(l) = -24 - 19*l - 20 + 42. Determine w*f(c) - 6*s(c).\nAnswer: -3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**3 + 674*v**2\/3 + 1136*v\/3 + 152 = 0.\nAnswer: -1, -2\/3, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*(k**(-2\/9)\/k)\/k)**(-6\/19))**(-3\/28))**(-17) assuming k is positive.\nAnswer: k**(17\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.80494 - -22.8. What is h rounded to 4 dps?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150483.\nAnswer: 3, 103, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 9. Suppose 0 = -0*f + 4*f - p. Solve 6*u - 3*u - f = -c, 4 = 4*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -7. Let j = -9.5 + r. Let g = -5 + 5.3. What is the second biggest value in g, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 + 13*x + 16. Is 19 a factor of k(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1210 + 220 = 193*x - 219*x for x.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -65?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 379*u - 6. Let m(a) = 374*a - 4. Let w(p) = -3*c(p) + 4*m(p). Let r(s) = -2*s. What is w(r(n))?\nAnswer: -718*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.45728 decades to years.\nAnswer: 664.5728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1016, -999, -982, -965, -948, -931?\nAnswer: -914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -21. Let d = -15 - t. Sort 5, d, 4.\nAnswer: d, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 16\/5*5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.27 + 0.73. Sort -4\/3, 1\/8, p, -0.5 in ascending order.\nAnswer: -4\/3, -0.5, 1\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 7*n + 33. Differentiate -n - 8 - 3*g**2 + 6*g + 0*g**2 - 2*g with respect to g.\nAnswer: -6*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -574*n**2 + 4 - 612*n**2 + 3*n**3 - 5*n**3 - 661*n**2 + 1745*n**2 in the form a*n**3 + d*n**2 + q*n + o and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**7\/840 - z**5\/60 - z**4\/24 + 4*z**3\/3 + 1. Let h(g) be the third derivative of d(g). What is h(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23 + 0 - 3\/(-1). Let r be 3\/(-9)*(-7 - 4\/2). Suppose -o + 17 = -r*a. Solve 2*f - 4*v + 10 = -3*v, -f - a*v - 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 10 = 2*l. Let q = l - 3. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 207\/46*-1*(-8)\/(-12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 798 - 539. What is the common denominator of 1\/8 and (q\/(-60) + 10\/15)*-2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.9651 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(80) - sqrt(1280)*1)\/(3*sqrt(16)\/sqrt(4) + -6*sqrt(36))*-6)**2.\nAnswer: 64\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -969 or -173403\/179?\nAnswer: -969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19, 10, 13, 34, 79, 154, 265, 418?\n\"Answer: y**3 - 16*y + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-6 - -4 - 1) - (-1 + 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.287 or -468\/209?\nAnswer: -468\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2519 and 2033978.\nAnswer: 22373758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 2*n + 196. Let h be q(21). What is the highest common factor of h and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 21*v - 23*v. Suppose -u - 4*r = -v, r - 19 + 68 = u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -139*p - 1. Let k be j(-1). Let i = 279 - k. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**3 - 551*t**2 + 9926*t - 1374. What is y(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -181.15001 to the nearest integer.\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32721722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 182855, 185538, 188221?\n\"Answer: 2683*p + 180172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -30*u**2 + 1734*u + 2180. Calculate p(59).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 696 and 168.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2240 - 2236. Suppose 0*b**3 + 2 - 16\/3*b - 2\/3*b**m + 4*b**2 = 0. Calculate b.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001100121101020 + -2?\nAnswer: -1001100121101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.00132.\nAnswer: 0.00396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 402 (base 5) to base 9\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -166*m**3*n**2 - m**3*n - 7*m**3 - 4*m*n wrt n?\nAnswer: -332*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 i, 1 m, and 1 g when four letters picked without replacement from {i: 1, q: 1, a: 1, g: 1, m: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4578430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -85, -88, -91?\n\"Answer: -3*i - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5222*c - 5222*c - 11*c**2 + 17*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*s**2 + 101*s**2 + 18937*s - 18937*s.\nAnswer: -184*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 30604.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700)*-2 - sqrt(1700)) + 3 - sqrt(1700) - 6*(sqrt(1700) - (sqrt(1700) - -2*sqrt(1700)) - sqrt(1700))**2)*-4.\nAnswer: 160*sqrt(17) + 367188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1217?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3*s + 72, -3*s = -3*t + 5*t + 47. Let n = -11 - t. Let v be 57*(n\/(-6) - -3). What is the greatest common divisor of v and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.8 in 4, 0.01, 0.2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -230*w + 818439 + 2990821. What are the prime factors of w?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-342)\/26 + (-670)\/(-4355)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111355217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 288 = -2*d - d. Suppose -4*l = 0, 5*n - 2*l + 4*l - 405 = 0. What is the remainder when n is divided by d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 669 + 22. Does 21 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 6 = -k. Let s = k + -18. Let g = s - -9. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -454*v + 17. Is p(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -11c?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9029*u + 953 + 231727 = 719*u for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 36 + 32 = 0, 2*q + 6930 = 2*b. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 274431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12287 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17367*h - m = 17365*h, 0 = -m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 463035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = d + 4*p - 12, -10*p - 138 = 5*d + 3*p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 126, 177, 268, 411, 618, 901?\nAnswer: 1272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, u: 2, g: 3, c: 1, x: 3, a: 5}. What is prob of picking 1 x, 2 u, and 1 l?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2303 - -4?\nAnswer: -2244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -36*z**2 + z. Let c be y(-1). Let x be (-800)\/25*c\/4. What is the highest common factor of x and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-12))\/((-1)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 0*n + n**2 + (-n**2 + 5*n - 5*n)*(-1 - 3 + 2))*(1 - 3 + 1 - 4 + 3 + 0 + (-2 + 0 - 1)*(-1 + 3 + 0)).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 17 = -5*m + 74, 4*m - 5*y + 61 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 1 + 4*c + 5 - 4. Let b be t(-9). Calculate the greatest common factor of 18 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10684, -15354, -20024, -24694?\nAnswer: -29364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**5\/60 - 199*c**2. Let x(w) be the second derivative of 0*w**2 + 0 + 1\/3*w**4 + 0*w**3 + w. Calculate x(h(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12382552053710381533\/521123241320 - -3\/47374840120. Let q = m - -23770971. Let c = -9702 + q. Find the common denominator of c and 37\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t + 2*t - 13*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3\/2 + 131*a**2 - 3521*a\/2 - 22724 = 0. Calculate a.\nAnswer: -8, 23, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530366574 is divided by 107?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-24)*(-230)\/14 and -7\/10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 5*z**2 - 4*z + 19. Let x be k(5). Let v be (-1 - 0)*x*20. Calculate the highest common divisor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 - 0.588\nAnswer: 3.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 54 - 23 = -16*b - 3*p, 44 = 4*b - 24*p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5844, -11675, -17506, -23337?\n\"Answer: -5831*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.112 + -0.012. Let r = -30 - -59\/2. What is the closest to 1\/2 in r, -0.05, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5252\/1313*243\/(-60).\nAnswer: -81\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -2*o. Let i(q) = -q**2 + 16*q + 22. Let z be i(17). Suppose 3*p = 4*f - 0*p - 60, -z*f + 75 = p. Solve 2*w + w + f = o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -4, -8, -2 in increasing order.\nAnswer: -23, -8, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278 = -t - 2*r - 264, -2*t + 3*r - 7 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 269 + -239. Suppose -25 = 5*x, -3*n = -x - 2*x - 48. Suppose 0*c - n = -c. Calculate the remainder when k is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s + 15*s**3 - 34*s**3 - s**2 + 17*s**3 + s**4 as u + b*s**3 + m*s**2 + g*s**4 + z*s and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**4*u + 4*t**4 + t**2*u**3 - 10*t*u**3 - 3*t*u wrt t?\nAnswer: -12*t**2*u + 48*t**2 + 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -862*i**2 - 8814*i - 9504.\nAnswer: -2*(i + 9)*(431*i + 528)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 729 = -231. Let r(v) = 9*v**3 - v**2 + 6*v + 64. Let d be r(0). Calculate the highest common divisor of d and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27029000 rounded to the nearest 1000000?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 14 - 3*d**2 + 5*d**2 to the form h*d**2 + y*d + n and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 1:46 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1103 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 509.78 + -99.68. Let f = -412 + m. What is f rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(99) + (sqrt(99) - (4 + -1 + sqrt(99) + sqrt(99))**2)) - -1*((sqrt(99)*-1*6)**2 - sqrt(99)).\nAnswer: -153*sqrt(11) + 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventeen halves of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183025535?\nAnswer: 5, 7, 11, 113, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**4\/12 - 5*x**3\/3 - 5*x**2 - 5*x. Let r be (-40)\/6 + 2\/(-6). Calculate the remainder when 32 is divided by m(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**6\/300 - 313*v**5\/75 - 1249*v**4\/60 - 208*v**3\/5 - v**2 - v + 9. Factor l(q).\nAnswer: -2*(q + 1)**2*(q + 624)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**16*r)**(-3\/19)*(r*r**(-7\/4))\/r**(-1\/12) assuming r is positive.\nAnswer: r**(-191\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, -0.02, -4\/9, -2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3*c - 1 = 3, 2*c + 1 = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -58*d + 1094. Calculate q(19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 198534748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 5856750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-one fifths of a millimeter?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*t - 4*t - 9*t + 7*t in the form q*t + s and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 24*j - 50814 = 0. Suppose -1786 = -4*n + j. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -1. Let c(w) = -w**3 - w**2 + 4*w + 3. Let f(i) = 4*a(i) + c(i). Determine f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.57 - 4.57. Let p = -28.29 + -0.21. Let m = p - -28. Which is the second smallest value? (a) i (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31911042103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.067 - 0.067. Let a = f + -30.7. Let y = 3.3 - a. What is the nearest to -0.2 in y, -3\/7, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 23 - (-3 - 1)) + 9?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1003 - 1010. What is the fourth biggest value in -1.4, t, -3, 2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -525 + 525. Suppose j = 265*r - 268*r + 573. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1364 + 1364.1. Which is the nearest to -5\/3? (a) -0.3 (b) -3\/2 (c) y (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-77)*(-1)\/3*1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + -92 - -165 - 104.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34*g**2 + 14*g**2 - 14*g**2)*(g + 1 - 1)*(3 - 2 + 0) as m*g + x*g**2 + l*g**3 + z and give l.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/41)\/(u*u**(-2\/31)))**(-26))**(2\/11) assuming u is positive.\nAnswer: u**(65052\/13981)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12301*c**3 - 42820*c.\nAnswer: -73806*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -933 - 68*s**3 + 468 + 465.\nAnswer: -68*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 2*l**3 - 8 - 11 - 2*l**2 + 2 + 183*l in the form s*l**2 + n*l + w*l**3 + r and give n.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 697003949 at most as big as 697003946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4.47*0.1\nAnswer: 0.447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -71282968717 take away 0.0107?\nAnswer: -71282968717.0107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 10, -10904 = -5*o - 3*y - 10869 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30 + -12346?\nAnswer: -12316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**2 + 75*o**2 - o - 61*o**2.\nAnswer: 25*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2123 - -2123. Let n(r) be the third derivative of u*r + 0 + 0*r**4 + 1\/40*r**6 + 0*r**5 + 5*r**2 + 5\/6*r**3. Find the first derivative of n(k) wrt k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(5\/4)*a\/(a*a**(2\/11)*a) assuming a is positive.\nAnswer: a**(3\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2747 and 615?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = -0 + 48. Solve 10 = 5*u + 4*g + 31, 0 = -3*g + k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 28 = -4*x. Let w = x + -4. Let y = -54244 + 54254. Calculate the lowest common multiple of y and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 741915426 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 361740 and 2220?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i. Let p(a) = 5*a**2 - 6. Let t(w) = w**2 + 7 + 14 - 20. Let h(m) = p(m) + 6*t(m). Calculate h(y(x)).\nAnswer: 44*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 877*y + 37451. Give d(-41).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2683 (b) -16 (c) -0.8 (d) 1\/4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2371 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 99566603 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 7*l - 2. Let m be w(-6). Let d = m + 121. What are the prime factors of d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5*d. Solve -t = -d*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -1 + (8 - 6). Suppose -2*m = -m + 4*x - 8, -5*m + 3*x = 52. What is the units digit of m\/4*o\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/((5 - 4)\/(7*-5)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 46*i**3\/7 + 806*i**2\/7 + 1144*i\/7 + 384\/7 = 0. Calculate i.\nAnswer: -16, -1, -12\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.8 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 9, p: 4, o: 1}. What is prob of sequence pv?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -296 - -886\/3. Let x = 0.6 - 0.68. Which is the third biggest value? (a) 2\/7 (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1292 - 1292 - 27*p.\nAnswer: -27*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50830197 is divided by 907682?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 264 = i. What is the remainder when i is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**3\/5 - 5111694*v**2\/5 - 40893744*v\/5 = 0.\nAnswer: -8, 0, 1703906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -z + 71, 5*z + 12*u - 32 = 9*u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*m)*(1274 - 27*m**3 - 2*m**4 - 1274).\nAnswer: -4*m**5 - 54*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) 0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 261041238 to the power of 1\/2, to the nearest integer?\nAnswer: 16157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3 = 32. Is -7 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a + 8. Calculate g(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/339556 and 75\/18368.\nAnswer: 222748736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - l + (13*l - 8 + 8)*(0 - 1 + 3) to f*l + w and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.107 bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -543.\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2251124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 3:56 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2270514 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 4 + 2)*(3 - 1 - 1)*(-76*w**2 - 265*w**2 - 7*w**2) to the form r + y*w**2 + l*w and give y.\nAnswer: -2436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/2 + 246*x - 8142.\nAnswer: -3*(x - 118)*(x - 46)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 + 6 = -32*a. Suppose 0 = a*p - r - 208, 4*p - 2*r - 257 + 45 = 0. Calculate the remainder when 966 is divided by p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -4. Suppose i*a - 13 = 62. Let y = a - -9. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81726.\nAnswer: 2, 3, 53, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 466649.339 rounded to the nearest one thousand?\nAnswer: 467000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4\/2 - 57*q**3\/2 - 351*q**2\/2 - 891*q\/2 - 405 = 0 for q.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29.36 - 0.64. Let s = -30.11 - y. Sort -1\/3, 0.3, s in decreasing order.\nAnswer: 0.3, s, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/6004748 and 17\/522152.\nAnswer: 12009496","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Round -43880.2 to the nearest 100.\nAnswer: -43900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(147)*-1)**2 - sqrt(147)).\nAnswer: -7*sqrt(3) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/13 + 98*q**2\/13 + 412*q\/13 - 1232\/13.\nAnswer: 2*(q - 2)*(q + 7)*(q + 44)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -5, 99, -2\/19, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-308)\/(-363)*(200\/(-400))\/(14\/72)?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2229324 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4452235 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 1. Calculate a(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*12\/(-120)*(58\/10)\/(4\/(-10)).\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10968.68 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4257 = -683*s + 2573 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20539*h + 2*h**2 - 10270*h - 10269*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000073954654 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*l - 1688 - 2326 = 326 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31 - 6697?\nAnswer: -66c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 361eee (base 15) to base 11\nAnswer: 1508965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*v. Suppose v = 2*i - 6*i + 8. Suppose 27 + 3 = i*m. Solve 3*w - m = -3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*m + 103 - 35 + 58 = 0. Solve -d - 4*j - m = -8, 2*j = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -263419*x**2 + 6*x - 307078?\nAnswer: -526838*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2, 2*g + 5*f = 2*f + 91. Let t(o) = 3*o + 1. Let c be t(1). What is the highest common divisor of g and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -139787*g*j**3 + 156299*g wrt j?\nAnswer: -419361*g*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 3:51 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -823039*y + 2258471 wrt y?\nAnswer: -823039","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h + 9344 = -m, 5*h + 4*m = 9349. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 443*k - 1334. Let o be r(3). Which is the nearest to -1? (a) o (b) -10 (c) 4 (d) 3\/26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, r: 1, q: 1, n: 2, w: 1}. Give prob of picking 1 f and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.5 (b) 0.1 (c) -1 (d) 15\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g - 13. Let w be (-4 + 1 - -23)*1\/4. Suppose 0 = 3*h - 12, -w*r + 3*r = -h + 18. Let z be v(r). What is the greatest common factor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -9. Suppose s + 3*s + 30 = -5*l, 2*s + 12 = -l. Which is the closest to y? (a) s (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*t**2 + 4*t**2 - 3*t + t**4 - 11*t**4 wrt t.\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13175 divided by 31\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301e (base 15) to base 6.\nAnswer: 115002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 9:30 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n**2. Let y(l) = 24*l**2 - 2*l + 156268. Determine y(i(c)).\nAnswer: 864*c**4 + 12*c**2 + 156268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 32. Suppose 0*b = c*b - 2675. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 25052?\nAnswer: -25040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 4.5. Let u = 17.6 + -21.6. Which is the third smallest value? (a) o (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*r**2*w**6 + 84*r**2*w**2 + 1433*r**2*w + 4514*r*w**6 wrt w?\nAnswer: 2880*r**2*w**3 + 541680*r*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 868261269 to the power of 1\/2, to the nearest integer?\nAnswer: 29466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/43, -5, 1, 0.5, -6\/121 in decreasing order.\nAnswer: 1, 0.5, 3\/43, -6\/121, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-10))\/((-5)\/50). What is the units digit of (17 - -143) + 2*6\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 14*c + 103. Let l be o(-7). Put -4, 3, -3, l in decreasing order.\nAnswer: l, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3916562 to the power of 1\/2, to the nearest integer?\nAnswer: 1979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dord when four letters picked without replacement from oorrdwrrrrordrdroord.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 6*x**2 + 2*x + 15. What is p(7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -5*k**5\/6 + 5*k**4\/12 + 4*k**2 + 2. What is the second derivative of d(c) wrt c?\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36*a**2*j**2*n + 121000*a**2 + 75414*a*j**2*n + j**2 - 11 wrt n?\nAnswer: 36*a**2*j**2 + 75414*a*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 95 in 3\/7, -0.3, 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -627, -1194, -1715, -2166, -2523?\nAnswer: -2762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3848188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -2)*(6 - 6 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 55, 103, 151, 199?\n\"Answer: 48*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s + 33. Let l be d(0). Suppose -7*a = -10*a + l. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from xhwxaxpwpxhwwo?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 19*x - 7. Let m(y) = y**2 - 7*y + 10. Let a be m(8). Let w be f(a). Solve z + 2*k + w = -2, -4*z + 3*k - 8 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640*i + 860*i - 8140 = 0 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 11*q - 21. Let k be b(-9). What is the remainder when 157 is divided by k - -9 - 42\/(-12)*4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106250 - 106254. Let g be (-2 + -1)\/((-15)\/10). Put g, q, -5, -3 in ascending order.\nAnswer: -5, q, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 - 1.9. What is the smallest value in 2, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g - 4. Let x(b) = 17*b - 11. Suppose 3*c - 18 = -3*s, -3*s - 12*c = -15*c. Give s*x(q) - 8*o(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 533.41 + -3.41. Let u = 343 + h. Let q = u + -873.00000377. Round q to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4177654 is divided by 835530.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 27520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 5*(-3 + sqrt(99)))*-6*4)**2.\nAnswer: -190080*sqrt(11) + 1495296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/((-5)\/((-50)\/4)). Let s = 24 - r. Suppose -s = -3*q - 4*v, -2*q = 5*v - 10*v - 40. Calculate the greatest common factor of 25 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**3*y**3*z + 26473*o**3*y**3 + 4*o**3*y**2*z - 49*o**3*y**2 - 4*o**3*z + 273*o*z wrt y?\nAnswer: -12*o**3*z + 158838*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -153 + 157. Suppose h - 110 = -l*d, -3*h - 2*d = -0*h - 350. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-14) + (-1530)\/189 + 8\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 956, 8491, 29608, 71309, 140596, 244471, 389936, 583993?\n\"Answer: 1167*g**3 - 211*g**2 - g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 13*n - 3. Let a(s) = 12*s - 2. Let b(k) = -5*a(k) + 4*h(k). What is the tens digit of b(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.6 - -12. Let v = 164 - 817\/5. Let l = 43 + -300\/7. Which is the nearest to -2? (a) v (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -19 (c) 0.06 (d) 0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -1\/7567, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011001000000110 + 101?\nAnswer: 100011001000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-15))\/(15\/(-125)). Solve -4*w + 5*o - 4 = -n, -2*w + o + 5 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1359, 1362, 1367, 1374, 1383, 1394, 1407?\nAnswer: 1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -269*u*w**2 + 2*u*w - 4970*u - w**2 - 2*w wrt w.\nAnswer: -538*u*w + 2*u - 2*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 + 72. Let g be ((-4)\/20*4)\/(a\/65). Is -1 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32 + -99437?\nAnswer: -99469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(27\/2))\/(-1). Which is the closest to -2? (a) -1\/19 (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6929699 = 229*o - 210*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 19 (c) 2 (d) 3 (e) -0.22 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 4. Let l(t) = -10*t + 1. Let z be l(g). Calculate the highest common factor of z and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 5*w + 5*d, 4*w + 34 = 2*d + 124. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*m + 1, 3*q = -m - 2 - 2. Let y(t) = -t**3 - t**2 - t - 1. Let z be y(m). Let s = z + 1. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**3 + 43*a**2 - 14*a + 27. Give z(14).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/4*1340\/1407.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0999 - -115.0999. Let a = i + -115.153. Does 0.2 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*d**4 - 4*d**4 - 257*d**2 + 257*d**2 + d**3 in the form q*d + p*d**2 + t*d**4 + r*d**3 + y and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.2 (b) -2 (c) 2\/3 (d) 2\/641 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 17. What is w(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/3 - 47032*c**3 - 829456350*c**2 + 4977302500*c\/3.\nAnswer: -2*c*(c - 2)*(c + 35275)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -17, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4208 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2. Let o(d) = 301358*d. Give o(j(w)).\nAnswer: -602716*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103262576?\nAnswer: 2, 293, 22027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - f = 4, 6*m = 2*m + 2*f. Solve -m*d = -3*d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 1941*n + 35274. Give r(18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 7:52 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(1586\/4 - -3). Let j = -444 - d. Suppose -4*x = -497 - j. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -11)*15\/(-6). Let b = 64 - z. Suppose -5*l + b = -11. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*t**4 + 3371*t**3 + 3556*t + 48 wrt t.\nAnswer: -60*t**2 + 20226*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1872) + 0)*3 + 5)**2.\nAnswer: 360*sqrt(13) + 16873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19066469479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25.5 - 6.5.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - 1*(sqrt(2) + 0))**2*1 - (sqrt(24)\/(sqrt(24)\/sqrt(2) + sqrt(12)) + sqrt(10)\/sqrt(45))**2.\nAnswer: -25\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -863*u**2 - 10 - 2*u + 1 + 21 - 13.\nAnswer: -863*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21913464.5394 take away -0.8?\nAnswer: 21913465.3394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 910, 0, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 230 - 94. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4213, 3575, 2929, 2269, 1589, 883?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 1. Let m = -13 + 37. Suppose -3*n - 2 - 11 = w, m = -2*w - 4*n. Let h be (8\/(-10))\/(4\/w). Let t(c) = c + 1. Give h*t(x) - 3*v(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 6*o = 3*o + 242, o = 3*l - 148. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 14 = -x, o - 5*x + 4*x = 1. Suppose 15 = o*z + 3. Let w be (4\/24)\/(3\/z). Which is the third biggest value? (a) -0.2 (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688020 rounded to the nearest 1000?\nAnswer: 688000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90300 and 15480?\nAnswer: 541800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 114*n**3 + 13*n**2 + 24*n - 5. Let p be d(-6). Let o = p - -34782. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -938 + 962. Calculate the greatest common divisor of j and 1896.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759000 = 3848*n - 13968*n for n.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-100)\/(-800))\/(41\/44 + -1) and -2 + ((-58)\/4 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -301*r + 8. Let v(q) = -1200*q + 30. Give -4*v(l) + 15*x(l).\nAnswer: 285*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 7*b**4\/24 - b**3 + b**2. Let k(n) = -n - 66. Let l(u) = 4*u - 137. Let o(v) = -2*k(v) + l(v). Calculate 6*o(y) - 5*s(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41474746?\nAnswer: 2, 149, 139177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/299, -9, -5, 6\/5.\nAnswer: -9, -5, -3\/299, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-204)\/(-5814)*(99\/(-12) + 9)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 3453.11817.\nAnswer: 3456.11817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*b - 55*b + 143 = 0 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 8 - 6. Suppose -u = -5*u - d*i + 18, i = 5*u - 40. Let x(s) = 20407*s**3 + 8*s**2 + 7. Let f be x(u). Round f to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmqqbmqqbybymqbmqb. What is prob of picking 1 y, 1 b, and 1 q?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.589, 4\/9, 0.4, 0.3, -1, 3\/4 in descending order.\nAnswer: 3\/4, 4\/9, 0.4, 0.3, -0.589, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42219074 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20017062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/2)\/(2\/(-8)). Let o = l - -27. What is the remainder when 15 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1331) + -5 + sqrt(1331)*-1))**2 - (sqrt(1331) + sqrt(1331) + sqrt(1331) + -1 + sqrt(1331) + -1)*-5.\nAnswer: 220*sqrt(11) + 890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -451838 or -3614709\/8?\nAnswer: -451838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7980 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -228*c*o*t**2 - 511*c*o + 437*c*t**2 + 6*c*t - c + 2*t**2 - 30 wrt o.\nAnswer: -228*c*t**2 - 511*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-2*sqrt(30))\/sqrt(6)*-1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3))**(-43)\/(w**7\/w**(-5)) assuming w is positive.\nAnswer: w**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -201, -404, -689, -1056, -1505?\nAnswer: -2036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*f - 258*f + 215*f**3.\nAnswer: 215*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 95010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + 1.1. Let y be (6\/(-4))\/(5\/(-30)) + -5. Which is the fourth smallest value? (a) -5 (b) 0.6 (c) y (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -592 - -1912. Suppose g = 21*g - d. Calculate the least common multiple of 110 and g.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/12*8*1. Suppose -8 = -4*a, -i*a - 2*a + 298 = w. Suppose -w = 2*k - 1812. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75480, -301862, -679166, -1207392?\nAnswer: -1886540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22 - ((1 - 3) + 3). Suppose 5*p = 2*p - h. Which is the third biggest value? (a) 2 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -14, 4 in descending order.\nAnswer: 4, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 10:49 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 315.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*a - 184 = 251 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*r**3 - 2*r**3 + 7*r**3 + 5*r - r**3 - 4*r to a + c*r**2 + w*r**3 + z*r and give w.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*v + 46*v + 122*v + 7038 = 0 for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 0.05 (c) -0.2 (d) -15 (e) 3.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5646888, 5646719, 5646550, 5646381, 5646212?\nAnswer: 5646043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -37. Let o(d) = -d**3 + 8*d**2 - 9*d + 2. Let n be o(6). Let w = 142\/7 - n. What is the closest to w in -5, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 8*q + 1. Let i be c(-5). Solve i = 4*f + 2*n, -f - n = -2*n - 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pip. What is prob of sequence pi?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7305, 7387, 7469, 7551, 7633, 7715?\nAnswer: 7797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -58\/821, 2\/7, -0.2, -0.4?\nAnswer: -58\/821","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2*p + 2, 2*p - 7 = -t - 2. Let n be 59\/((-4)\/8*(t - -1)). Let z = n + 73. Find the common denominator of -97\/4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, b: 3, z: 1, k: 2}. What is prob of picking 3 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 222247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnlnn. What is prob of sequence ln?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 13*i**4\/2 - 2*i**3 - 16. What is the third derivative of h(p) wrt p?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/2, -4, 18, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 2:09 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(54\/(-14))*24\/(-84).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**3\/6 - 7*f**2\/2 - 3*f. Let p be z(10). Suppose p*l = 12 - 3. Solve -5*x = -l + 28 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.058 + -9.462. What is k rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -4, -0.4, -34448, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176937, 351791, 526645, 701499?\nAnswer: 876353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 3. Let r be (u\/(-1))\/1 - 2. Suppose 4*c = 3*k + 61, r*c - 47 = k - 0*k. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**5 - 963732*c**4 + 8673884*c**3 - 6746412*c**2 - 8673880*c + 7710144 = 0.\nAnswer: -240942, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -124*t + 220*t - 1536 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1097*a - 543. List the prime factors of r(15).\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**4\/3 + 10*r**3\/3 + 8*r**2 + 3*r - 8. Factor n(t).\nAnswer: 4*(t + 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 + 13*s**2 - 92*s - 604. What is w(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 7\/5 (c) -0.1 (d) -2 (e) -2\/45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*u + 487*u = -624*u - 2207*u - 188002 for u.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 54. Suppose -2*u = -3*f + 21, -u = -f - 3*f + s. Solve 0 = f*d - 0 - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhqmbmbbq. What is prob of picking 1 h, 1 q, and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 986 + -920. Calculate the least common multiple of 12 and z.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 15*s**2 - 14*s + 1. Let t be a(-14). Let u be t\/(10\/(-6) + 2). Suppose -48 - u = -3*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 172 - 16. What is the smallest common multiple of 431 + -399 + -7*2 and l?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -58648*u + 18455. Is g(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3548, 7099, 10668, 14261, 17884, 21543, 25244, 28993?\n\"Answer: w**3 + 3*w**2 + 3535*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 487, 0.4, 0.05, -2\/5 in increasing order.\nAnswer: -2, -2\/5, 0.05, 0.4, 487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -5*c - 119 - 5\/2*c**2. Let r(f) be the second derivative of 4*f**3\/3 + 7*f**2\/2 + 4*f. Give 7*g(i) + 5*r(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 n when four letters picked without replacement from tntnnntnnnnnnnn.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + 29 - 20) + -1 + 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than -747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 divided by -4.\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*f - 98, 8 = -h + 3*h. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8 less than -272?\nAnswer: -264.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 10. Let s be h(5). Sort -8, s, 3.\nAnswer: -8, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -63 - 20?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 + 5*p - 48. Let k be l(4). Let j = -21 + 29. Let d be (-9 + j)*-1*5. Solve -d*n - 1 = k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61 - (-435132)\/7140)\/(1\/42).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 4*q + 10. Let i(x) = -x**3 + 7*x**2 - 2. Let n be i(7). Let l be (-2)\/n*(-1 + 0). Put l, -11, q in descending order.\nAnswer: l, q, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1012, -1018, -1036, -1072, -1132, -1222, -1348?\nAnswer: -1516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*h**2 - 45674*h - 8304.\nAnswer: -(h + 4152)*(11*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - u = 16. Suppose 0 = 5*d - 2*p - 51, 4*p - 21 = -4*d - p. List the prime factors of (u - 1)*(-45)\/d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*a - 3*a - 2, 0 = 3*b + 2*a. Let s = -34 + 67. Suppose -32 = v - s. Is v not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 6*k + 1. Let j(o) = -o**2 - 6*o - 2. Let u(l) = -4*d(l) - 3*j(l). Let v be u(-6). Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 + 2.5. Let v = -5 + 4.68. Let o = -0.12 - v. Which is the biggest value? (a) 0.3 (b) q (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1304141 millilitres in litres?\nAnswer: 0.0001304141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -264 + 264. Suppose -2*x + 19 = -21. Let i = -10 + x. Solve j*z = 5*z - i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 5*v + 782. Is t(0) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4747 - -2611. Let y = 3759 + k. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8051, 7230, 6419, 5624, 4851, 4106?\n\"Answer: d**3 - d**2 - 825*d + 8876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = 9*o - 2. Sort -9, 0, o in descending order.\nAnswer: 0, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7549 is divided by 277.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -11. Let z = 10 + -9.9. Which is the second smallest value? (a) u (b) 2\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 33*o + 99. Let y be n(13). Solve -132 = 25*f + y*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2444 + 14?\nAnswer: -2430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437*k**2 + 22522*k - 45035*k + 22513*k + 16*k**2.\nAnswer: -421*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.96 - 3. Let x = i + -2.96. Let q = 0.9 + 0.1. Which is the third smallest value? (a) x (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23770752 divided by -115392?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -19?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74122 at least as big as 73078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-3)\/(18\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 30 = -7*d. Let g = 5 + -5.14. Let m = g - -0.24. Sort d, 5, m in descending order.\nAnswer: 5, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -227 + 277. Let o be (8\/j)\/((-18)\/45). What is the nearest to o in -0.4, 1, 2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaann?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 4*h**2 - 14*h - 1. Let m be v(-3). Let d(p) = -9*p - 98. Is 50 a factor of d(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.7483729 millennia?\nAnswer: 8980.4748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1404.7 - 1405. What is the closest to 2\/7 in 0.1, 5, f, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*sqrt(68)*-2*-3 + 3.\nAnswer: 2 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2773522 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -23*p**5\/30 + 4*p**3\/3 - 12*p**2. What is the derivative of r(m) wrt m?\nAnswer: -92*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/20*640\/(-384).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5912 divide 794655568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 156. Let i(a) = -78. Let u be (-3)\/(-5) - (-56)\/40. Let n(y) = u*z(y) - 5*i(y). What is the units digit of n(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3. Let x(y) = y - 13. Let s(v) = 9*u(v) - 2*x(v). Let q be s(-3). Suppose 13 = 5*f - i, -q*f + 4 = 3*i + 3. Solve 0 = 5*l + f + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v**3 + 8*v - 2*v**2 - 68*v**4 - 6*v + 71*v**4 to h*v + w*v**4 + p*v**3 + a + t*v**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -10.4. Which is the closest to m? (a) 2\/9 (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1075 is divided by 1027.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 5*t + 10. Is d(5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 301 - 301 + 22*p. Let n(r) = 100 + 17*r + r - 100. Determine n(f(b)).\nAnswer: 396*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1757618 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 464\/(-580)*15\/162.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58494203?\nAnswer: 4409, 13267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 475 - 145. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 1173531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 20 = 2*u. Let b = u - 9. Let v = b + -16. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801870233.\nAnswer: 1583, 506551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4723950 and 900?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*w**3 - 135*w**3 + 263*w**3.\nAnswer: -19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 18 - 20 + 8 + 291*w**2 + 10 - 22*w. Let l(b) = -146*b**2 + 11*b - 7. Let a(y) = -7*l(y) - 3*o(y). What is the second derivative of a(m) wrt m?\nAnswer: 298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 584 + -403. Let x = -20 + g. Calculate the remainder when x is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-4 + 12 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2869 and 3473?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71293\/28 - 2545. What is the common denominator of -85\/56 and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2 - 1 + 2. Let a(b) = -b + 2. Let z(n) = -3*a(n) - 8*i(n). What is the units digit of z(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 90\/60 + 31\/2. Suppose v*c = -5*c + 1518. What is the remainder when c is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -19*w + 8. Let z(y) = 27*y - 13*y - 88 + 25*y + 141 - 70. Determine -13*t(c) - 6*z(c).\nAnswer: 13*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1198 - -1192. Which is the second biggest value? (a) u (b) 0.6 (c) -0.5 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.7 (c) 3284055\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 9:06 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + 35 - -37 - (34 - 6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18312656 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k. Let z(l) = 32*l - 60*l + 37*l. What is z(b(y))?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3374*i - 27009. Calculate z(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(26) - (1*sqrt(2106) - sqrt(26))) + sqrt(26) + sqrt(26)*-2*5)\/(sqrt(98) + -2*(sqrt(98) + (sqrt(98) - (sqrt(98) + -3*sqrt(98))))).\nAnswer: -5 + 16*sqrt(13)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-40)\/(-16)) - (0 + -15). Solve 6*v = -4*r + v + 1, 0 = 4*r + v - a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89980963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*(-18)\/36*1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55958 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*q = -2 - 440 - 30 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 101*p + 4977. Let u be i(-49). What is the highest common factor of 3689 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24c7 (base 15) to base 7.\nAnswer: -31564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2*p + 56 = 0, 2*p + 8 = -0*p + 6*p for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.5 (b) 8\/11 (c) 3\/3880 (d) 2\/21 (e) -1 (f) -5 (g) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/sqrt(5) + sqrt(8) + sqrt(162) + -1)*5 - (2*sqrt(1944))\/(sqrt(12) - (sqrt(12) + sqrt(588)*1 + sqrt(12))))**2.\nAnswer: -1345*sqrt(2)\/2 + 72561\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 9*a**3\/2 - a. Let o(h) = 31*h**2 + 29*h**2 - 59*h**2 + 177 - 177. Determine o(q(r)).\nAnswer: 729*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791720711 to the power of 1\/2, to the nearest integer?\nAnswer: 42329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1809, -1616, -1427, -1242?\nAnswer: -1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 w, and 1 q when four letters picked without replacement from {f: 6, w: 4, y: 2, q: 2, n: 3}.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 - 2*c**5 + 4*c**4 - 2*c**4 + (c - 5*c + 2*c)*(2*c - 3*c + 2*c)*(-3*c**3 + 2 - 2).\nAnswer: 4*c**5 + 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -378\/11 + 2477\/66. Let w be 341\/(-3) - (-3)\/(-9). Find the common denominator of b and ((-3)\/(-60))\/(1\/w).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-630) + (-4384)\/(-168).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 45.1718064 minutes?\nAnswer: 0.00448133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -987*p + 231. Let d(y) = -17*y + 4. Calculate 231*d(o) - 4*h(o).\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43 - 3?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42146861?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(96))\/(sqrt(108)*-2).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 282 = -4*d, 0*d - 132 = -2*d + 3*q. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 2*s + 602. Let m be o(0). Suppose 0 = n - m - 335. Let q = n - 606. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1290.584 rounded to the nearest integer?\nAnswer: -1291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.5 (b) -0.3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**4 - 759*q**3 + 750*q**2 + 6076*q - 9096 = 0.\nAnswer: -3, 2, 758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 15*v**2 + 16*v - 7. Let m = -184 + 198. What is y(m)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 807050123?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {a: 3, c: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 444374783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 311275\/23 - 13536. Find the common denominator of 31\/6 and l.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**5 + 1228*a**4 + 41376*a**3 + 382752*a**2 + 108864*a - 2099520 = 0 for a.\nAnswer: -270, -18, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 15*b - 13. Let n be i(-12). Suppose 4*o - 47 = -5*u, -o - u = -2 - 10. Let s = n - o. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0521 + -0.052074738. What is u rounded to six dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eenn when four letters picked without replacement from tenteeen?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14170833665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3250 divide 1302684500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6*-0.3249405\nAnswer: 1.949643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juuexjuu. What is prob of sequence jj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from nxrsc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17852136143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14733*q**2 + 44479*q**2 - 14803*q**2 - 14816*q**2.\nAnswer: 127*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*w + 3000 = 14*w + 46*w for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-100))\/(-10*18\/(-900))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 3 (b) -5 (c) 2\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*205\/(-1)*-2 is divided by 268?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -p + g - 4, g + 4 = -2*p. Let v(t) = t**2 + t. Let m be v(p). Solve 4*f = m*w + 8, 3*w + w - 3*f - 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1022 + -1210343?\nAnswer: -1205321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -3. Suppose 0 = -q + 5*k - 1, -q = 2*q - k - 11. Suppose 3*h + 9 = 4*i, -2*i + q*h - h + 3 = 0. Which is the closest to 1\/3? (a) 0 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -60*h + 122. Calculate f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*h**3*s*u*y + 3*h**3*u - 2382*h**2*s*y**3 + 6*h**2*u*y + 8*h*y**3 - 4*u*y**3 wrt s.\nAnswer: 9*h**3*u*y - 2382*h**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 6*q**2 - 5*q - 7. Let s = 23 - 20. Suppose -5*v - 20 = 2*t, 3*t - s*v = v - 7. Give w(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 44 = -z, 2*z = 5*r + 20 + 86. Let y be -6 - -2 - z\/(-3). Calculate the greatest common factor of y and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asmd when four letters picked without replacement from {c: 1, m: 1, j: 3, d: 4, s: 4, a: 1}?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 6:43 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10952.1 rounded to the nearest one hundred?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 53420 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237 = 77*i - 456 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 10. Let h = j - 13. What is the third biggest value in h, -2\/11, -4, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-1\/3)*m)\/m*m)**(-35)*m**(-1)*m*m*m\/(m*m*((m\/(m\/((m\/m**0)\/m))*m*m*m)\/m)\/m*m))**(3\/14))**(-2\/23) assuming m is positive.\nAnswer: m**(76\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5146*g. Let m(t) = -7*t**2 + 13*t. What is m(d(c))?\nAnswer: -185369212*c**2 + 66898*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.78 rounded to 0 decimal places?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 + 118. Find the third derivative of -7 + 0 - 4*x**2 + t*x**6 + 7 wrt x.\nAnswer: 2280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244 + 1?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91800\/3600*(-48)\/34?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j\/(j*j\/j**(5\/8)))\/j*j**(-1\/9)*j*j**(-3)*j\/j**(-17) assuming j is positive.\nAnswer: j**(1117\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133 + -64. Suppose -4*y = u - 89, -2*u + 26 + 83 = 5*y. What is the highest common divisor of i and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + (-19)\/5)\/((-24)\/10). Suppose -8*x = -13*x - 5. Let j be (21\/(-7) - (x + -1))\/1. Is j bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 6*z**2 - 3*z + 22. Determine y(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -338870426*u**2 - 233237158?\nAnswer: -677740852*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 + 59214708 - 59214708.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 25 = -2*r. Let n(a) = -2*a + 5. Let b = 2 + -7. Let x(t) = -2*t + 4. Let z(m) = b*x(m) + 4*n(m). Give z(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41*r + 53*r - 511*r)*(1 + 3 - 3)*(0 - 2 + 3)*(2 + 1 - 2) to a + p*r and give p.\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.6 + 1.6. Let y = -83 + 499\/6. What is the second biggest value in 0.5, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494028 is divided by 250.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39087033, -39087038, -39087047, -39087060, -39087077, -39087098, -39087123?\nAnswer: -39087152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/(h\/h**6)*h))\/h**(3\/10)*h*h**5*h**11 assuming h is positive.\nAnswer: h**(97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/2 - 39*n - 76 = 0. What is n?\nAnswer: -76, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (37 + 10 + 15 + -9)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3489*s**2. Let l(c) = 2*c**2 - 485. What is l(a(t))?\nAnswer: 24346242*t**4 - 485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14269955 equal to 14269954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*j - 16. Suppose -j*u + 554 = 2*g, g - u - 59 = 215. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 198 + 200 + 146*i**2 - 399 to x*i + u*i**2 + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 - 8008*n**3 + 7983912*n**2 + 64256192*n + 128769152.\nAnswer: 2*(n - 2006)**2*(n + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*z**3 + 53*z**2 - 52 wrt z.\nAnswer: -9*z**2 + 106*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7235\/6 - -1223. Calculate the common denominator of q and 142\/(-20) - (-1)\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + n + 3*n - 47 = 0, -2*m - 3*n + 23 = 0. Let p be 19\/m - 8\/(-28). Suppose -5*h - 16400 = -p*h. What is h rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*v**2 - 72*v**3 + 38*v**2 - 78*v**2)*(v - v - 2*v).\nAnswer: 144*v**4 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*p - 9. Let g be 30\/p*-3 - 2. Let z = 11 - g. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-15)*b**(-3\/8))**(-38\/3))**46)**(-25) assuming b is positive.\nAnswer: b**(-447925\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7188, -7198, -7208, -7218, -7228, -7238?\n\"Answer: -10*x - 7178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -80507.4031 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-36)\/6)\/12)\/(-5)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 5*p**4\/12 + 201*p. Let l(g) be the third derivative of -g**5\/20 - g**2. Calculate l(u(q)).\nAnswer: -75*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163*t**2 + 163*t.\nAnswer: -326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/11 + 744*a\/11 + 13226\/11 = 0. Calculate a.\nAnswer: -17, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 + a9?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o**2 - 45. Let b(n) = -2*n. What is b(u(x))?\nAnswer: 10*x**2 + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 468.128 and 0.06.\nAnswer: 468.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/4 + 255*l**3 - 3079*l**2\/4 - 5115*l\/2.\nAnswer: l*(l - 5)*(l + 2)*(l + 1023)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, c: 1, w: 1, p: 1, d: 1}. What is prob of sequence wpud?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -22*n - 1. Let q(y) be the third derivative of y**5\/60 - 20*y**3\/3 - 18*y**2. Let b(h) be the first derivative of q(h). Determine z(b(s)).\nAnswer: -44*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 751 - 654. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, p: 9, x: 6, l: 1}. Give prob of picking 2 x.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ety when three letters picked without replacement from etyy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1242*n + 1245*n = 12. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.25 - -0.2. Let u be (10 + 1)*10\/(-20) - -5. Which is the third smallest value? (a) u (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p - 6. Let b be -1 + 43 - 48\/24. Suppose -4*l + 5*u = -13, -5*l + u - b = 6*u. What is r(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 9*f + 258 = -258 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -50*(-4)\/(-4 - 0). Let l = u - -84. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 118801 or -700\/11?\nAnswer: -700\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -420*i + 3076. Is 8 a factor of r(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, q: 5, p: 8}. What is prob of picking 3 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 4976.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 2236*x.\nAnswer: -4*x*(x + 559)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-2\/5)*c)\/c*c**4*c)\/((c\/c**(-7\/3))\/(c**(-5\/4)\/c*c)) assuming c is positive.\nAnswer: c**(169\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*a - 95*a + 37*a + 14*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y - y + 4*y)*(32 + 296 + 104 + (0 + 2 - 3)*(2 - 1 + 0) - 3 + 5 - 1) to the form d + k*y and give k.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -205, -1, -0.1, -3, -6, 1\/209, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3680 and 9375904?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6 and -232789.\nAnswer: -232788.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -67, 2 in descending order.\nAnswer: 2, 0, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/(-170) + 112\/20)*2\/57?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 18 - ((-4 - 1) + 2) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -5. Let p be q\/22 + (-316)\/(-44). Suppose j = 3*u - 26, 3*u - 3*j - 29 = u. Are u and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 13*a**2 + 9*a - 11. Let y(q) = -6*q**2 - 4*q + 5. Suppose 0 = -u, u = 13*h - 17*h + 16. Determine h*o(w) + 9*y(w).\nAnswer: -2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8572?\nAnswer: 2, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkxf when four letters picked without replacement from xxlkfddldl.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7614\/17 + -448. Let v = -0.09 + -0.11. Let m = v + 0.2. Which is the nearest to m? (a) 3 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1 - 15) + 1)*5\/(-15). Which is the biggest value? (a) 3 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + 7 + (172 - 238)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -189 (b) -5 (c) -16 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2037720552?\nAnswer: 2, 3, 7, 241, 50329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7 + 11\/7*f**2 + 12\/7*f.\nAnswer: (f + 1)*(11*f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10982\/8223 - 6\/2741. Which is the nearest to 0.1? (a) -112 (b) n (c) -3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -0.4 (c) -0.024\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 11) to base 8\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-27)\/12)\/((-15)\/40))\/(1\/(2\/16))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n. Let x(m) = -317*m - 3. Determine -2*l(z) - x(z).\nAnswer: 303*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 1046066?\nAnswer: 1046070","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 rhrrririrrhrirrrhr?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 2*g - 10831. Let t(c) = -c. What is t(r(o))?\nAnswer: o**2 - 2*o + 10831","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2*h - 9*h)*(-4*h - 2*h + 5*h)*(-143*h**2 + 143*h**2 + 8*h**3).\nAnswer: 80*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x = 251 - 139 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/4095*2565\/570.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10129 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 12:04 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36535 - 36540. Which is the second biggest value? (a) y (b) 1304 (c) -4 (d) -0.5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 5*q + 4. Let h be g(-5). Suppose -w + 9 + 1 = h*m, 20 = 4*w - 4*m. Does 2 divide (-5)\/(-3) - w\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305572658 + 5.1?\nAnswer: 1305572663.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 10*t - 99. Let u be q(16). Which is the closest to 1\/3? (a) u (b) 4 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 0)*1 - (-8 - -3). Suppose z*c = c. Suppose 0 = -5*q + 3*s - 6, -3*q = q - 5*s + 10. Solve t + c*t - 3 = q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225.01494 months in centuries?\nAnswer: 0.18751245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 378650 + -6?\nAnswer: 378649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 2*v**3 - 15648*v + 15648*v)*(v + v**2 - v).\nAnswer: -2*v**5 + 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6062850739?\nAnswer: 11, 551168249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, 12, 31, 48, 57, 52?\n\"Answer: -u**3 + 8*u**2 - 2*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 55*v**2 - 51*v - 209. Let z be d(-4). What is the greatest common divisor of 70 and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2779 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -10222022?\nAnswer: 10222112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1824*z + 312. List the prime factors of k(8).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.942 - 18. Let o = u - 3.842. Let i = -9.9 - o. Which is greater: i or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -38*n. Let b(d) be the third derivative of d**5\/20 + 35*d**2. Give b(k(m)).\nAnswer: 4332*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 346*r**4 + 34*r**3 + 9*r**2 + 497805 wrt r.\nAnswer: 1384*r**3 + 102*r**2 + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/(4\/264). Let d = 87 + w. Suppose 0 = -6*h + h + d. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3644712 and -133\/48.\nAnswer: 7289424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 4. Let m = -9 + 14. Suppose 5*v + 23 = -2. Let t = v + m. Determine u(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18*(-16 + 5 - -13)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2160)\/23328*(3 - 105\/25)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -5, -8, 1.6, -54, -1, 3 in ascending order.\nAnswer: -54, -8, -5, -1, 0.2, 1.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1479 is divided by 389?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*s - 10. What is the greatest common factor of 112 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**32)**(-5\/7) assuming v is positive.\nAnswer: v**(-160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-783)*((-2)\/8)\/(10\/15)?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) -4\/5 (c) -5 (d) -2\/9 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 72 = 3*r, -a + 2*r = -2 - 5. Let j = 456 + -454. Suppose -a + 29 = j*d. Solve d*n + z = 4*n, 0 = -2*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(847))**2 + sqrt(847))*2 + ((sqrt(847) + -1 + sqrt(847) + 0)**2 - sqrt(847)).\nAnswer: -33*sqrt(7) + 5083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, 33, 68, 103, 138?\n\"Answer: 35*j - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7 + 1)*(c**3 + 3*c**3 - 5*c**3)*(-c - 4*c + 3*c).\nAnswer: 22*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/4 + 4)*60. Calculate the greatest common divisor of t and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 129, -3, -4, 5, -85 in descending order.\nAnswer: 129, 53, 5, -3, -4, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -755681 and -755666 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1226*u - 20216 = -694*u for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. Let q be 1\/(0 + a\/(-62)). Suppose -b = -c + 13, -4*c + q - 22 = 2*b. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1363, -1361, -1359, -1357, -1355?\n\"Answer: 2*v - 1365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-390)\/2328)\/(-13))\/((-105)\/(-42))*1\nAnswer: 1\/194","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-6)\/h)*(h*(h\/(h*(h\/(h**(-10)\/h))\/h))\/h)\/h)\/(h**(-1)*h)**(-1\/4) assuming h is positive.\nAnswer: h**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*p - 1206 = -324 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 2*g - 47, -4*m - 2*g - 38 = -0*g. Let l be m\/(-18)*(-2)\/4. What is the second smallest value in 0.3, l, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1153?\nAnswer: 1153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 186239 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xcfckuxa. What is prob of picking 2 x, 1 f, and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(-2\/11))\/y)\/y)\/y)\/(y*y*y**(-1\/2)\/y)*((y**1*y*y)\/y)**(3\/16) assuming y is positive.\nAnswer: y**(-171\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 99.68972 centuries?\nAnswer: 9968.972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**4*x + 2*r**3*x**2 + 12*r**3 + 2*r**2*x**2 + 7*r**2*x + 2*x**2 wrt r.\nAnswer: 48*r*x + 12*x**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -43.974. Let t = s - -0.004. Which is the third smallest value? (a) -2\/7 (b) t (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5277847427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.85 + -0.15. Let w = -213 + 226.7. Let y = b + w. Put 0.5, 3, y in decreasing order.\nAnswer: 3, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185185043.\nAnswer: 599, 309157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1433*v - 1454*v + 4872 = 0. Let z(n) = -4466*n**3 + 232*n - 232. Let g(b) = 58*b**3 - 3*b + 3. Give v*g(k) + 3*z(k).\nAnswer: 58*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/28136 and -95\/197044.\nAnswer: 1386007496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 8:55 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f - 14*f - 3*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.37 + 3.63. Let p = 324 - 324.3. Let s be (-4)\/5*(-1 + 6). Put -0.1, n, s, p in decreasing order.\nAnswer: n, -0.1, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 = x - q, x - 588 = -2*x + 2*q. Let j = x + -183. What is the remainder when j is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*h = 46*h - 465 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -2. Let h be 0\/(-1 - -1 - c). Solve -f - 2*x = h, 0*x = 5*x + 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -2*a + a - 3, 0 = 5*a + o + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16795259, 33590516, 50385773?\n\"Answer: 16795257*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/((-5)\/((-15)\/2)). Suppose 3*d - 7*d + 3*l = -105, 0 = 4*l + g. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvx when three letters picked without replacement from xxbvbvxx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.1 - 2236285?\nAnswer: -2236236.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = w - 37, 0 = 3*w + 32*n - 33*n - 19 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 8*o**2 + 7*o + 2. Let z be g(7). Factor 0*s**2 + 2*s**z + 2*s**3 - s**2 + s**4.\nAnswer: s**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/58 and -51\/902.\nAnswer: 26158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*m + 0 + (-2 + 1 - 1)*(-m + m + m) + 3*m - m + m + (0*m + m + m)*(-3 + 1 + 7) to the form r*m + d and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 4:09 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkxkkxxxkxx. Give prob of picking 4 x.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from sejesinejisejae?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {j: 3, c: 17}.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6*g + 9 = 0. Suppose -g*y = -5*y + 5*f + 99, 4 = -4*f. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 424, 851, 1278, 1705, 2132?\n\"Answer: 427*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -236 + 1081. What are the prime factors of a?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1800 and -43\/3000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 127\/1156 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3209?\nAnswer: 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 13. Suppose 3*n + n + 35 = 5*b, 0 = 2*b + 3*n + 9. Let o(x) = -x - 14. Let a(l) = b*p(l) - 2*o(l). Is a(-6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.4331 - -5.46. Let q = m - 0.0573. Round q to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*m = -85 + 59, -d - 11 = -2*m. Solve 0 = d*n - 78 + 63 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by -137.\nAnswer: -55\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464780 is divided by 1065?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -161558 equal to -161555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4 - 12. Suppose 3*a = b*a + 1. Put 5, 4, a in descending order.\nAnswer: 5, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 3\/2*k**2 - 3 + 0*k**3 - 1\/12*k**4 + 0*k. Let n(g) be the second derivative of v(g). Let m(w) = -w**2. Calculate n(m(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-9 - -7) + 8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 81 + -192966\nAnswer: -192885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -578 + 4034\/7. Which is smaller: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.9, 5, -3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*(1 + sqrt(2299) + (sqrt(2299) - (sqrt(2299) - (1 + sqrt(2299))))) + -1)*3.\nAnswer: 45 + 396*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 4*z**2 - 11*z - 1. Let w be j(6). Suppose 2*s + 2*n + 19304 = 4*n, w*s - n + 48280 = 0. Let q = s + 4657. Round q to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 less than or equal to -31767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -83*z + 2940. Let h be j(35). Solve 19*k + 22 = -h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30711 divided by -1\nAnswer: 30711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 13. Let a(l) = 2*l**2 + l + 1. Calculate the remainder when (-2 - -1)*q*1 is divided by a(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 b when four letters picked without replacement from knkknnnkbkkkkkbnkkn.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -0.31. Let u = -6.26 - -1.26. Which is the nearest to l? (a) -1 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10989, -11011, -11033, -11055, -11077?\n\"Answer: -22*m - 10967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 143010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*d - 10 + 10 - 80*d + 36*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -750 = -u - 4*u. Suppose 2*w = 2*d + u, -w - 3*d + 14 = -49. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 66.5 (c) -3\/68 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/21 - 396\/2079?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*a - 2 = 2, -2 = 4*n + 2*a. What is the common denominator of (-5)\/18 - 0 - n and (-620)\/90 - 1\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 71 (b) 5\/21 (c) 0.052\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aww when three letters picked without replacement from {w: 2, a: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7909.654 decades to centuries.\nAnswer: 790.9654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8821, 8820, 8819, 8818?\n\"Answer: -k + 8822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 * -259514.1\nAnswer: -3633197.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzz when three letters picked without replacement from {d: 2, q: 7, z: 7}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11661)\/(-46644) - (610\/(-376) + 2)?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3514973*z**3 - 12*z**2 + 35573748*z wrt z?\nAnswer: 21089838*z - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 68, 105, 142, 179, 216?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 860 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, y: 2, z: 2, x: 1, k: 8}. What is prob of sequence yz?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100000010110110 (base 2) in base 16?\nAnswer: -240b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.9 + -0.1. Let p = 194 + -192. What is the nearest to p in 0.2, -0.6, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 13*u + 55 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/78*(-3 + 1). Let w be 11\/4 + (-2)\/1. Which is the smallest value? (a) q (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 32 = 3*n. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111000101 (base 2) to base 14.\nAnswer: 4cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 1:03 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(40)\/sqrt(4)*-1).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3, 13\/5, -0.9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r - 21. Let g(b) = -b + 11. Let x(v) = 2*c(v) + 5*g(v). Suppose 0 = 3*k - 2 + 38. What are the prime factors of x(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abbbbbbb. Give prob of sequence bbab.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 664, 12, 5076, 5 in decreasing order.\nAnswer: 5076, 664, 12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 6*i + 1. Suppose -s - 24 = 5*w + 5, 5 = -w. What is f(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1112330 + 2?\nAnswer: -1112322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 1 (c) 2\/11 (d) -9\/13 (e) 5\/406 (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74725 is divided by 9340?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/5)*(((c\/((c**7\/c)\/c*c))\/c)\/c)\/c*c**0*c\/c**(-4) assuming c is positive.\nAnswer: c**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -9. What is the smallest common multiple of 6 and ((-18)\/(-8))\/(5\/u)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 538.555.\nAnswer: 2692.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (44 - 28) + -13 + (-6 - (0 + 0))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**4 - 191530*f**3 - 1874489660*f**2 - 767668312470*f - 765794014335 = 0.\nAnswer: -18939, -427, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -777\/292 or -4?\nAnswer: -777\/292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -237738820\/9 and -26415423 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19984, 79929, 179816, 319627, 499344, 718949, 978424, 1277751?\nAnswer: 1616912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 2 (c) 192 (d) 0.4 (e) 628\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ameeeemmae. What is prob of picking 1 m and 1 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156 or -155?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -257*l**6 - 4*l**5 - 5*l**2 - 226 wrt l.\nAnswer: -30840*l**3 - 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 95 divided by 19\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2 + sqrt(448) + sqrt(448) + 1 + 1 + sqrt(448)*-1 + 4 - (1 + 0 + -1 + sqrt(448) + 3)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*j - 50*j + 86*j.\nAnswer: 62*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 49*a**2 + 504*a + 491. Give s(-13).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -50455222 (base 7) in base 6?\nAnswer: -225554441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -220?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134526253 or -134526255?\nAnswer: -134526255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2076, 2074, 2072, 2070, 2068?\n\"Answer: -2*w + 2078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66599843.\nAnswer: 7649, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3607 - 5695. Let j(k) = -306*k**2 - 8*k - 18. Let r be j(-2). Let f = r - l. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Let b be (n - 0)*1\/(-2). Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11625.01 times -7?\nAnswer: 81375.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6947*n + 13915*n - 6946*n.\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5401 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**5 + 9*d**3 + 4*d**2 - 17*d + 5. Let w(j) = j - 1. Suppose 14*z = 24*z - 100. Let c(y) = z*w(y) + 2*r(y). Determine g, given that c(g) = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from rriii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -284 + 286. Let f(k) = k**3 - 8*k**2 + 6*k + 4. Let t be f(7). Let h = 0.461 - -0.039. Which is the second biggest value? (a) t (b) q (c) h (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4 + 98*k**3 - 6*k**2 - 298*k - 196 = 0. Calculate k.\nAnswer: -49, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1689024 by -1824.\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 21342*l - 78343*l - 3 + 4. Let c be o(1). Round c to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84947446890 take away 261.2?\nAnswer: -84947447151.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/9 + 225308*h\/3 + 675926\/9 = 0. Calculate h.\nAnswer: -1, 337963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**4\/24 + 13*y**3\/6 - 2*y**2. Let q be w(-10). Suppose q*m + 16 = -m. Which is the nearest to 2\/7? (a) 0 (b) m (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**7\/840 - 25*r**4\/3 - 72*r. Let s(u) be the third derivative of j(u). Let p(c) = -41*c**2. Calculate s(p(m)).\nAnswer: 5043*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g + 3. Let y be x(-4). Let f = y - 10. Suppose -n - 1 = -5. Solve 0 = -5*w - 10 - f, 3*z + n*w = -3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/(60\/(-33) - -2). What is the highest common divisor of b and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/2 + 2388*y**2 + 1000782*y + 39539016.\nAnswer: 3*(y + 44)*(y + 774)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*z - 76*z - 54*z + (-3 + 2 + 2)*(-4 + 4 + 2*z))*(-1 - 3*z**3 + 1).\nAnswer: 264*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - ((-23)\/90 + 2). Let c = h - 101\/36. Find the common denominator of c and 1\/(12*6\/236).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frqfqqfqfrqqrff. Give prob of sequence rrrq.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g + 2*r + 14 = 0, 0 = -3*r - 9. Solve -3*w = t + g, -2*t = 2*w - 0*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -3*d + 5*c, 16*d + 1192 = -4*c - 1208 + 2368 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.54721 weeks in milliseconds?\nAnswer: 7588552608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at most 80\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 421 - 420. Let y(l) = l**2 - 4*l + 3. Let j be y(2). Sort f, 2, j, -6 in descending order.\nAnswer: 2, f, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -17\/9?\nAnswer: -17\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*x**4 + 3*x**3 - 3874*x**2 + 38*x - 297130503 with respect to x.\nAnswer: 40*x**3 + 9*x**2 - 7748*x + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150 + -21.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c - 2. What is o(8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 33. Let w be y(11). What are the prime factors of -2 - (-7)\/7 - (2 - w)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((1 + 3*(1 + -5*(1*sqrt(468) - sqrt(468) - sqrt(468)) + sqrt(468)))*-5 + -1))**2*-2.\nAnswer: -121319712 - 725760*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*w - 151, -5*n - 6*w = -2*w - 788. Let j = n + -68. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10692*m = 10660*m - 544 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -42. Let f be 11 + q + 7 + -11. Find the third derivative of 0*u**6 - 15*u**2 + u**f + 12*u**2 - 11*u**2 wrt u.\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 1. Let w(v) = -16 + 31 + 3 - 20 + 12*v. What is 3*k(q) - w(q)?\nAnswer: -15*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2. Let c = 0.07465 + -0.47465. What is the closest to -4 in 2\/5, c, f, 1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 m when four letters picked without replacement from {m: 3, t: 13}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f**3 + 9*f**2 + 14*f - 6. Let l(t) = -11*t**3 + 9*t**2 + 14*t - 8. Let z(m) = 5*l(m) - 6*v(m). Determine z(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001133266 to 7 dps.\nAnswer: 0.0001133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (151 - 180) + 7 + 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-3) - (-533 - 56). What is the highest common divisor of 33 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - 19*k + 393. Calculate d(0).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6157 - 2)\/(-3) + 1 + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2156 at most as big as -2148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976628 is divided by 65108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 179443792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -4. Suppose -w = x*w. Suppose -u - u + 12 = w. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 s, and 1 a when three letters picked without replacement from {n: 10, s: 1, a: 9}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)\/g**(4\/9)*g**(-2\/11)\/g*g*g**(5\/4))**(-10\/13))**10 assuming g is positive.\nAnswer: g**(13625\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-8694 - 2*j**2 - 3214*j + 3214*j + 5*j**2 - 2*j**2).\nAnswer: 2*j**2 - 17388","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 11 - 91. Let h be -4 - (2\/1)\/((-1)\/(-4)). Let s = h - v. Solve -2*i + i = 2*g + 9, -3 = -i + s*g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 20 = -4*j, 2*j - 9 = f - 3. Let t(z) = 3*z**2 - 2*z - 7. Let q(h) = -h**2 + h + 2. Let i(m) = f*q(m) - t(m). Give i(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002501375 rounded to six dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36231 (base 7) to base 13.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23\/5? (a) 0.6 (b) 2 (c) 1\/4 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x\/(x\/x**3))*x*x**4\/x)\/(x**(7\/3)\/x**19) assuming x is positive.\nAnswer: x**(62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -63.6 and 4.\nAnswer: -254.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2) + 10\/4. Suppose -v*m - 3*j = -2*j + 11, 11 = -3*m + 2*j. Let u be 2\/m + (-56)\/(-3). Calculate the greatest common divisor of u and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -5 (c) -152 (d) 5 (e) 29027 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v**3 + 0 + 0)*((9*v - 4 + 4)*(2 + 3 + 0) - 3 + v + 3)*(0 + 0 - 1) to o*v**4 + g*v + b*v**3 + a*v**2 + s and give o.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659120513?\nAnswer: 83, 7941211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 68 + -1 + -15 + (-17 - -2 - (119 + -142))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 5. Let p be j(-8). Suppose 0 = -p*r + 15*r - 672. Does 30 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(sqrt(4) - (sqrt(20)\/sqrt(5) + sqrt(4))))\/(5*sqrt(9)*-3) - (6*1*sqrt(1575)*-3)**2.\nAnswer: -510300 + sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 8 = -5*j. Sort 5, j, -9 in decreasing order.\nAnswer: 5, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + 0*v**2 - v**2 + (v**2 + 2*v**2 + 0*v**2)*((1 + 4 + 1)*(-4 + 1 + 0) - 8 + 9 + 9) as d*v**2 + f*v + u and give d.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 99614 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -7 - 1) + 64 + (-89 - -39)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/28303 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312277.\nAnswer: 7, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/19)*v\/v**(-6))\/(v**(-3)*v**(3\/5))*(v**(2\/9)*v**(-3\/2)*v*v)**(3\/14) assuming v is positive.\nAnswer: v**(77087\/7980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-4 - (-3 - 0)). Suppose -24 = 4*u - b. Let c(y) = -y**2 - 10*y - 2. What is the units digit of c(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -5.3.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -8. Are -2 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3 - 804*a**2 + 72162*a + 1780840 = 0. Calculate a.\nAnswer: -20, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19094575.5 + 19095494.4929952. Let s = f - 918.363. Let m = s + -0.63. What is m rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-72)\/(-16)*(-2)\/(-3). Suppose -2*m + i = -17. Solve 5*n + 5*l - m = 0, -4*n + 10 = n + l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 5493249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2086 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 22 - (44 + -61)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*77\/(-28) + (-6)\/2. What is the hundreds digit of (14\/z)\/(2\/344)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 0. Let w be s*((-21)\/6 - -3). Solve -4*q = 14 + w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 0*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130*-0.05366.\nAnswer: 6.9758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgzzzqzqzzzzgqrqrzz. Give prob of sequence qrr.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - ((-24540)\/(-438) + -69)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.54288 * -0.9.\nAnswer: -1.388592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/1*1 - 3. Let f be (-8)\/p*(-14)\/(-20). Let y = -4\/19 - 18\/95. What is the nearest to y in 3, f, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1999, -3999, -5999, -7999?\n\"Answer: -2000*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from qggx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u + 640 + 116 = -110*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y + 3. Let u be m(-1). Let a(f) = -f**2 - 6*f - 6. Let n be 1 + -1 + (-4)\/1. Let h be a(n). Put u, 4, h in descending order.\nAnswer: 4, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 13*l**2 + 29*l + 15. Let o be c(15). Solve 5*t = -o*t + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1124)\/10*155\/124)\/((-2)\/8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216701 and 14031?\nAnswer: 1950309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 13 = -3*g, 2*g - 4*k = -6 + 24. Suppose -g*l - 56 = -n, 5*n = n - 5*l + 99. Solve 4*p + 2*q - n = -q, 2*p - 18 = -2*q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-720)\/1080.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 3*n - 2 + 5 to p + b*n and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxi when three letters picked without replacement from buxiusbubnbu.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/20 - 66\/(-15)) + 0. Suppose -z*t - 1085 = -3*m, -2*m = -7*t + 3*t - 730. List the prime factors of m.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 441384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 5*r + 19, -l + 4*r + 0*r + 15 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 520359 + 306831. Suppose -5421551 + 34285601 = -5*g. Let u = g - o. Round u to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -9*j + 293*j - 162 + 103. Is f(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + k + 4. Let h = 3 + -3. Let r be c(h). Let i(w) = -3*w**2 + 2*w - 3. Let g(x) = 3*x**2 - 2*x + 4. Calculate r*g(p) + 5*i(p).\nAnswer: -3*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 103 = 5*m. Suppose m = 3*a + 4. Calculate the remainder when 8 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -194.62 and -1.\nAnswer: 194.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3087604?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((8\/10)\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**3\/2 - 10*z**2 - 4*z. Let l be c(-8). Solve 5*p = -g - 4, l*p - g = g + 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7479 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -243 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 5*r**2 + 4*r + 4. Let c be q(-4). Let v be 10 + 2*(-1)\/2 - -2. Suppose 3*j - 41 = -v. Solve j = -c*s + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*z - 66, -4*z - z = -4*c + 83. Suppose 0*i - 3*i = -c. Let p(d) = d**3 - 10*d**2 + 10*d - 10. Determine p(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.54023 microseconds in nanoseconds?\nAnswer: 60540.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 - 71 = -4*t. Put t, 14, 2 in increasing order.\nAnswer: t, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-348)\/435)\/((5\/(-25))\/((-1)\/7))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-six sevenths of a week?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261, 263, 275, 303, 353, 431, 543, 695?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115251 and 4686874.\nAnswer: 14060622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 1 = -5*j + 5*m, -4*j + 2*m + 34 = 0. Suppose 0 = -727*r + 728*r - 6. Let s(o) = 6 - o**2 + r + 13*o + 1 - 4*o. Calculate s(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5220 divided by 1305?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 17. Let y = -224 + 223.01. Let n = -0.01 + y. What is the closest to s in -1\/3, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/(-1) - (-10 - -1 - ((-5040)\/16)\/15). Suppose -20\/9*r**3 - 58\/3*r + 128\/9*r**2 - 8\/9*r**4 + 2\/9*r**w + 8 = 0. Calculate r.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4723, 37230, 125009, 295552, 576351?\n\"Answer: 4582*i**3 + 144*i**2 + i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1710*n = -3542*n + 1617*n + 430 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -101311313210203?\nAnswer: 101311313210213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*(((5*(sqrt(42) + sqrt(84)\/sqrt(2) - sqrt(42)))\/(sqrt(66)\/sqrt(176)))**2 - ((-2*sqrt(343)*-1)**2 - (-1*sqrt(343)*6)**2)).\nAnswer: -206640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*d - 4 = 0. What are the prime factors of d*4\/(-16)*(345 - -1)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 920 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 33. Let z(l) = -5 + 3*l - 4*l + 0*l. Give z(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-68)\/(-5) + 9\/(-15). Calculate the greatest common factor of f and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 551 = -t, t = 6*t - 2*o - 2665. What are the prime factors of t?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 4215944?\nAnswer: -4215949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 3297.\nAnswer: 32970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.05 (b) -0.4 (c) 3\/5 (d) -5 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65 or -127\/2?\nAnswer: -127\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 111263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*k + 10457 + 129136 = 0. Is k > -1771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-210))\/(2\/(-40))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 3*z - 30 + 2*z + 3*z as u*z + c and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178307896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1452 + -15971\/11. Sort z, -0.1, -5, -2, -3 in ascending order.\nAnswer: -5, -3, -2, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6511 + 6540. Calculate the greatest common divisor of b and 7859.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 45, 112, 237, 438, 733, 1140?\nAnswer: 1677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 379420484?\nAnswer: 1138261452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*x + 16. Which is the biggest value? (a) -2 (b) x (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -1237.4?\nAnswer: -1237.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((-75)\/(-12))*-5. Suppose 2*p - 139 = -3*a, d*p - 4*a = 81 + 147. Calculate the remainder when p is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524577409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + -3)\/(5 + -4). Let l(c) = 255*c + 1. Let a be l(b). Let n = 974 + a. What is n rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 - -6) - 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(5) + -2) + 0.\nAnswer: -3*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1087, -3764, -8231, -14488, -22535?\n\"Answer: -895*g**2 + 8*g - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, h: 3}. What is prob of sequence hyh?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 369.3 (b) -2 (c) 9\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -3, 8, 3, -1 in decreasing order.\nAnswer: 8, 3, -1, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 485*g**4\/8 - g**2 - g - 19. Let y(h) = h. Give y(l(m)).\nAnswer: 1455*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 3.6. Let j = -0.2 - 0. Which is the closest to -2\/5? (a) -1 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -187676353*0.2\nAnswer: -37535270.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 3:17 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1992155.\nAnswer: 5, 11, 29, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-84) - 9\/21.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(7\/2)\/(s*(s\/(s\/s**(-28)*s)*s)\/s))\/(s\/(s**(3\/10)\/s*s)*s)**36)**19 assuming s is positive.\nAnswer: s**(-5643\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -6*k + 10*k + 12*k. Let a be 3\/6 + 31\/(-2). Let m be (5 - 0)*(-6)\/a. Solve -2*h - 26 = m*h + 2*v, k*h + 5*v + 33 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.41 + -0.21. Let x = 4.4955 - 0.4955. Which is the closest to 2\/5? (a) x (b) -2 (c) l (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*i + 1572 = 25*i - 3186 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 41*z - 363. List the prime factors of d(21).\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26597, -26709, -26823, -26939, -27057, -27177?\nAnswer: -27299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/(r\/(r*r*((r*r**(8\/11))\/r)\/r*r))))**(-3\/10)*(r*r**(36\/5))**(-1\/37))**(-4) assuming r is positive.\nAnswer: r**(28\/2035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226 - 205 = -3*g - 4*r, 0 = -5*g + 3*r - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2781 (base 9) to base 6\nAnswer: 13414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 395 - 289. Find the third derivative of 2 - 13*o**2 - 68*o**3 - g*o**3 + 7*o**2 - 65*o**3 wrt o.\nAnswer: -1434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -171\/11 + 156\/11. Let x = v + 288\/187. What is the third smallest value in -4\/7, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 34 = -2*m + 4*g, 2*m - 5*g - 17 = 0. Let w(l) = 12*l + 26 - 3*l - 30 - 3*l - m*l**2. Let j(o) = o**2 - o + 1. What is 4*j(d) + w(d)?\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1008 divided by -1126?\nAnswer: 504\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 43?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*c = -547, 4*c = -47 + 51. Solve -136*j - 3*d = -k*j - 3, -3*j - 2*d = -2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000014058 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-44)\/(-15)*(-6)\/((-504)\/(-70)). Let s = -0.324 + 0.224. Which is the nearest to s? (a) i (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -566360*w + 8. Let f(r) = r + 1. Let j(l) = b(l) - 4*f(l). Let s be j(11). What is s rounded to the nearest 100000?\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 93, -274, -1, 5, -5.\nAnswer: -274, -5, -1, 2, 5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.9932 + -0.0068. What is the second smallest value in 0.1, f, -0.3, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 13 + 7. Solve 0 = -z - 0 - d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37\/14 - -15\/7. What is the second biggest value in x, 2, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-77)\/147)\/((4\/44)\/((-24)\/(-44))).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/4 (b) -3 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 12*f + 385. Let t be q(0). Let c = -305 + t. Suppose 11*i - 12*i + 8 = 0. What is the greatest common factor of i and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzzb when four letters picked without replacement from zzzzbbzuzzzzzzzuzzuz?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88060 and 5584780.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*t - 562, -3*t = 10*a - 5*a - 1373. List the prime factors of a.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h - 1213 = g, 0 = 2*h - 3*g - 1223. Suppose -4*v - 4*u + h = -2*u, -3*u = -6. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f + 44 = 2*n, 2*f + 2*n = -28. Let p be (-126)\/(-8) - 3\/f. Suppose 3*m - 42 = 6. What is the highest common factor of p and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - m + 5. Let o be w(0). Suppose -5613 + 2253 = 191*x - 359*x. Solve o*v - 5 = -x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3633 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -7. Suppose -2*q = 3*b + 2387, -3*b - y*q - 1436 - 959 = 0. Is b\/(-7) + 4\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = j - 2*r + 17, -2*j + 10 = 5*r. Let g(n) = -n**2 - 12*n - 6. What is the tens digit of g(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*x + x. Suppose -3*d = -d - n - 28, -4*d = -x*n - 62. Calculate the highest common divisor of 91 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -254 (base 9) to base 3.\nAnswer: -21211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31311 + -283505\/9. Which is greater: -191 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-638 - 1)*(38\/(-26) - 35\/(-21)). Is -132 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 139*g - 44*g + 61*g as u + y*g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 16*x - 9. Let j be c(6). Suppose 5*n - 17*v + 12*v = -5, n = -5*v + 17. Solve 3*t = 3*q + n*q - j, 2*t = -4*q + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - 71. Are 18 and r unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*u + 43*u**2 - 39*u.\nAnswer: 43*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20056 + 20060. Let u = 1.86 - -0.14. Which is the nearest to u? (a) 2\/5 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.5 (b) 74 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -542*f**2 - 534*f**2 - 8*f**3 - 539*f**2 + 1615*f**2 + 3*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 82 - -3a?\nAnswer: bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.113882 times -0.69\nAnswer: -0.07857858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(44)\/sqrt(4) - sqrt(11))*-6 + -3)**2 - (sqrt(66)\/(sqrt(24)\/sqrt(4)) + 2)**2 - (3 + (sqrt(88)*1*1)\/(sqrt(32)*2)).\nAnswer: -161*sqrt(11)\/4 + 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5195 + q - 5195. Let g(c) = -45*c. Calculate b(g(z)).\nAnswer: -45*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006059 to six dps.\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18845605.8ms?\nAnswer: 0.2181204375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1984, 4, 3 in decreasing order.\nAnswer: 4, 3, -1984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/29? (a) 5.31 (b) -0.07 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1862419, -3724825, -5587227, -7449625, -9312019, -11174409, -13036795?\nAnswer: -14899177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*n + 195*n - 152 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/11 and 37\/58443.\nAnswer: 58443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/8)\/(3\/(-4)). Let u be (5\/7)\/(29\/203). Suppose u*o - 2337 = w*b, 414 = -2*o + 2*b + 1350. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 235*d - 171. Let j(g) = 233*g - 174. Let w(b) = 7*j(b) - 6*r(b). Is w(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16195 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + b + 3. Let n be i(0). Suppose y = -n + 7. Let t = -20 - y. Round t to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437219 is divided by 109241.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, z: 1, x: 1, p: 1, a: 3, n: 12}. What is prob of sequence apzi?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.5*0.5.\nAnswer: -14.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = f + 1325, 0 = -35*w + 30*w - 2*f + 3335. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321*f - 29370 = 306*f. List the prime factors of f.\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10076121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 582.1 times 1218.8?\nAnswer: 709463.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/15594 and 2\/5?\nAnswer: 77970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 6:48 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/2 - 161*b**3 - 15222*b**2 - 153164*b + 26288512.\nAnswer: -(b - 32)*(b + 118)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 i, and 1 q when three letters picked without replacement from {o: 3, p: 1, i: 4, j: 5, q: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10299 - -14626. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*t - 1631 - 2119 = -0*t for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p. Let x(r) be the third derivative of -5*r**5\/2 - 29*r**2. Give u(x(m)).\nAnswer: 150*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 643 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 3*q - 4. Let h be w(4). Let y = 5 + h. Let v be 5\/7 - 8\/(-28). Sort 3, y, v in ascending order.\nAnswer: y, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 56, -4?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60809866 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 37*c - 35*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 82 = w - 3*w, 5*f - 3*w = 165. Let z = f - 16. What is the smallest common multiple of 10 and 12\/(-10)*z\/(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -12*x + 624. Let k be n(51). Solve 4*m = -m - 3*l - 9, 4*l + k = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 + -52. Let v be ((-3)\/(-12))\/(h\/(-160)*-5). Solve 5*t + 37 = -3*k, v*k - 4*t = k + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 - 0.33. Let w = -39.3 + 39.3. What is the fourth smallest value in f, -1, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((36\/(-54))\/(2\/9))\/(2 + 1). Put 5, -38, y, 0 in decreasing order.\nAnswer: 5, 0, y, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.1, 0.023, 3, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 777*d - 4945. Is 14 a factor of i(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-217565)\/(-31005) + 6\/(-351)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five halves of a decade?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11260*c - 2 - 1 - 1 + 4 + 11258*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3456 - 1703 - 6*b - 1708 - 3*b**2.\nAnswer: -3*(b - 3)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1441 + 1449. Calculate the smallest common multiple of h and 54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(1728))*5)**2*2.\nAnswer: -86400*sqrt(3) + 3112200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -3. Let t = 2 - 5. Let c = -1 - t. Sort c, -1, f in increasing order.\nAnswer: f, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3437 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*t + 289 = -255 + 52. Let k be (3\/(-6))\/1*-12. Suppose 3*i - k = i. Solve 0 = -5*y + t*m - 6, 3*y - 10 = -i*m - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 142*n - 135*n - 1309. Let d = -135 + n. What is the remainder when 204 is divided by d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.3475379 - 13.23654. Let y = -0.111 + o. Round y to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5012 or -5011?\nAnswer: -5012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 9:47 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 42*h - 397. What is g(-14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**3 + p**3 - 2*p**3 + p**2 - 4*p**3. Suppose -13 + 3 = -5*s. Suppose 0 = s*k + 1 + 1. What is x(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4 - 13*v + 2 - 2 + 3. What is the lowest common multiple of 4 and t(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4543 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -311, 0, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 84189.34kg in nanograms?\nAnswer: 84189340000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97142?\nAnswer: 2, 48571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/(((-3)\/(-924)*11)\/((-456)\/(-114)))?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*y*z**4 - 187*y*z + 103*y - 33595*z**4 - z - 2 wrt z?\nAnswer: -60*y*z**2 - 403140*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p)**(-17) assuming p is positive.\nAnswer: p**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3327551692.\nAnswer: 2, 831887923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhvhhhvhh. What is prob of picking 2 h?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -276, 52, 934, 2646, 5464, 9664, 15522?\n\"Answer: 46*l**3 + l**2 + 3*l - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 19959399.\nAnswer: 1\/2217711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2 + 6 + 73*k + 7 - 391*k. Is b(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1135314 + 367314. What is o rounded to the nearest 10000?\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - l - 1 + (-l + 3*l + 0*l)*(0 - 4 + 0) + 3*l - 4*l + 3*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 485178514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7 - 2 + 18*x - 2 + 9*x**3 - 10*x**3 - 17*x**2 + 17. What is the units digit of k(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*a + 13, 0*a + 7 = -f - 2*a. Let v be (-4 + 4)\/f + -825. Let l be ((-234400)\/(-6))\/(11\/v). Round l to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 77*m - 443 - 217. Calculate the highest common divisor of 3015 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**6\/a)\/a**(7\/4))\/(a**(-3\/5)*(a**(2\/13)*a)\/a*a))\/((a\/a**(-1\/3))\/(a*a*((a*(a\/a**(1\/2))\/a)\/a)\/a)*a**(-5\/3)*a**(-1\/6)*a) assuming a is positive.\nAnswer: a**(961\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 177762 and 19875?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*p - 4, 2*x + 5*p = 5*x + 18. Put -20, x, 4, -5 in decreasing order.\nAnswer: 4, x, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from qgvwz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3648 and 570.\nAnswer: 18240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((14 + -2)\/4)\/(-1). What is the remainder when 127 is divided by (-97)\/k - (1 - (-6)\/(-9))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57054285 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from {m: 5, e: 1, b: 1, j: 3, n: 1, t: 1}.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 51916?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99242 or 99187?\nAnswer: 99187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -69 + 24 + 29 + 20 + 47*x as p + n*x and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from zmmlql?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29338 less than -1.775277?\nAnswer: -29339.775277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Suppose s = o - 3. Solve -k = -o*k - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 14*f**2 - 1866*f + 537. Give d(133).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120211111 (base 3) in base 12?\nAnswer: 681a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - h - 35, -h - h = 2*w - 26. Let j be 3\/9 + 28\/6. Let s = w - j. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19a3ba2 - -30?\nAnswer: -19a3b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -14. Solve -g - 1 + y = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2225*a**3 + 1 - 1 + 1256*a**3.\nAnswer: 3481*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/38760 and 68\/45.\nAnswer: 116280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12 + -0.02. What is the closest to i in -5, -8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y + 2. Let n(l) = -6*l + 123. Let b be n(20). Give u(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 18 + 126. Let v be (0 + -1)*o\/(-8). Let p(b) = -6*b**2 + 5*b - 5. Let t(m) = 7*m**2 - 6*m + 6. What is v*p(k) - 5*t(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -5189 + 5189 - 1022*y**2 + (-1 + y + 1)*(5 - 2*y - 5) as a*y + c*y**2 + z and give c.\nAnswer: -1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317, -334, -369, -428, -517, -642, -809, -1024?\nAnswer: -1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -157ad (base 15) in base 11?\nAnswer: -48024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 17. Suppose 8 = d*g - 5*o - 2, 4*g - 3*o - 9 = 0. Suppose 0 = -5*a + s + 89, -33 = -a + g*s + s. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56*(-868)\/(-12208) + 4\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 104*v**2\/5 - 9726*v\/5 - 1966.\nAnswer: 2*(v + 1)*(52*v - 4915)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: 25 divided by -673987\nAnswer: -25\/673987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11221012022 - 1121?\nAnswer: 11221010201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - 4\/(32\/4794). Let u = -592 - r. Let n be ((-8)\/(-36))\/((-1)\/6). What is the nearest to u in n, -3\/8, -3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -0.01098.\nAnswer: -0.06588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i + 42 = 0. What are the prime factors of 10\/(-35) + 172\/i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s + 14. Let c be m(-6). Let p be (-2)\/(-8) - (-88)\/c. Solve 15 = p*a + 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 13*c**2 - 4*c - 19. Calculate the lowest common multiple of 21 and f(-13).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3317 + -471?\nAnswer: -4010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -b4b8 (base 16) to base 10\nAnswer: -46264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 7:29 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -1\/6*b**3 + 0 + 9*b**2 + 8*b. List the prime factors of d(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**3 + 3*h**2 - 3*h + 1. Suppose 14*o - 15*o + 1 = 0. Let c be k(o). Suppose c*t + t - 30 = 0. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -110*d - 1289 + 1843 + 3076 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*s + 45, 57 = 4*t + t - 4*s. Solve -t*k + 2*k + 21 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -43?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.254 - 0.157. Let o = -0.813 - m. Let s = 0.829 + o. What is s rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**3 + 2*x**2 + 2*x - 3. Let v be m(1). Let l(c) = -1633*c**3 + 816*c**3 + 821*c**3 + c**2 - 2*c - 7 + 7. Give l(v).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -9. Let a be (-3 - -7)*3\/w. Factor a*l**2 - 3*l**2 + 10*l + 2*l**2.\nAnswer: 5*l*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 2*k**2 + 2*k**4 - 2*k**4 + 2*k**3 - 2*k**4 as d*k + w + g*k**4 + x*k**2 + h*k**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 24, 31, 40, 51, 64, 79?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/3)\/(4\/6). Suppose s*r - v = 11, 5*v = -r - r + 5. Let g = 29 - 27. Solve -r*f + 47 = 3*w + 13, 3*f - 21 = -g*w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -155, -2\/9, -2, -3, 2\/7?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -118*a - 1745. Let n be i(-15). Solve 3*f - 4*v + 3 - n = 0, -4*f - 5*v - 12 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 310718 and 387?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 59*f. Let o(n) = -2*n. What is o(b(r))?\nAnswer: 2*r**2 + 118*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = -l - 0*o, 4*o + 2 = -l. Suppose -61 + l = -11*t. Calculate the lowest common multiple of (-2 - (-7)\/3)*3 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 13*x - 27. Let j be d(-15). Solve z + j*o = -19, 42 = -2*z - 5*o + 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 898*f - 36. Let v(q) = -220*q + 9. What is -13*v(r) - 3*y(r)?\nAnswer: 166*r - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 95.70001 litres?\nAnswer: 95700.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 3. Let o(y) = -y**3 + y**2 - 1. Let x(a) be the second derivative of -a**5\/5 + a**4\/6 + a**3\/6 - 2*a**2 - 12*a + 3. What is n*x(j) - 2*o(j)?\nAnswer: -2*j**3 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 4*u + u + 4*b, -u = 5*b + 21. Let s(j) = 2*j**2 + 2*j. Let l be s(5). Let a = l + u. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4197 to 2 dps.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 579 and 40294540?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**3 + 2*m**2 - m - 2. What is g(2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 144809832553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1918 = -2*b - 5*n, 21*b - 958 = 20*b - 2*n. Calculate the highest common divisor of b and 324.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*w**2 - 184*w**2 - 57*w**2.\nAnswer: -292*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*q - 19*q - 520 + 520.\nAnswer: -45*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-105) + ((-12)\/56 - 1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + 8400.36449112?\nAnswer: 8352.36449112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 5*n + 6. Let f be b(-5). Let u be (-51)\/(-15) + (-2)\/5. Let i be u - (0 - -1 - 0). Solve 4*t + 33 = -t + 2*w, -i*t - f = w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17546 and 9622.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 52.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.6 plus -643453?\nAnswer: -643414.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64049?\nAnswer: 19, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 39\/501284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 12, -580 = -3*r - f + 115. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 4:54 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 - 10*s**2 - 4*s**3 + 2*s**2 + 10*s**3.\nAnswer: 5*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -b91?\nAnswer: -b8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2\/8 + 15*s\/4 - 7 = 0.\nAnswer: 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -16*w - 3. Suppose 0 = -k - 0*k + t - 1, 0 = -k - 4*t - 1. Let v be u(k). Factor -v - s**5 + 13 - s**4.\nAnswer: -s**4*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -50*p - 2. Let f be a(1). Let d = f - -177. Is 47 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 1:02 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4*h = -0*m - 12, h - 6 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 178\/235 + 2\/47. What is the biggest value in s, 3, -4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9, -5\/21, -0.2, -2\/21, 3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from mdumdmdegdeemmh.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 40 = -4*y. Suppose -y*k + 4*k + 72 = 0. What is the smallest common multiple of 10 and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3)*((-207)\/230)\/((-8)\/20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 469 divide 379580460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x - x)*(-3*x**3 - 2 + 2) + 1 - 1 - 2*x**4 + 4*x**4 - x**4 - 2*x**4.\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**5 + 780416*t**4 + 16387560*t**3 + 114710176*t**2 + 267653876*t = 0. Calculate t.\nAnswer: -195083, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50222 (base 6) to base 12.\nAnswer: -3972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (108\/12)\/9*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3 - 37*h**2 + 2 in the form a*h + f + g*h**2 and give g.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/(6\/396*11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 99093795 to the power of 1\/4, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 4.1. Let m = 2.90000065 + g. Round m to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93 + 12 + 61)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011101101010110001011 (base 2) to base 12.\nAnswer: 104028b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 2:08 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*u + 15*u - 4*u)*(-20 + 3*u**2 + 15*u**4 - u**2 + 21).\nAnswer: 360*u**5 + 48*u**3 + 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20826492 and 1.\nAnswer: -20826492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 298\/114 - (-4 + ((-630)\/(-27))\/5). Which is smaller: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5643 + -2558.687.\nAnswer: -2557.1227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -302.1 + 364?\nAnswer: 61.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*w = -672*w - 1679*w + 58795 + 1199 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 - 8*c - 4. Let t(u) = 4*u**2 - 27*u - 7. Let f(j) = 4*j**2 - 32*j - 6. Let o(i) = 2*f(i) - 3*t(i). Determine -9*n(p) - 4*o(p).\nAnswer: -2*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2031?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*s = 34*s + 1279685. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 - -22112?\nAnswer: 100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k. Let r(l) = 11*l. Let v(z) = 13*c(z) + 6*r(z). Let t(g) be the first derivative of 0*g**2 + 0*g + 4 + 4\/3*g**3. Calculate v(t(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**2 + 8*z**2 - 15*z**2 in the form t*z**2 + v + x*z and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46.062 + 46. Let v = q - 0.061. What is v rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3126696 take away -22184?\nAnswer: 22185.3126696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 204*r - 48 wrt r.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-8 - -5)) + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 1:23 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1375 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 5*a + 2. Let j be g(-5). Let f = 177 - 173. Solve f*w + 2\/3*w**j + 6 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*m = -73*m + 1699 + 632 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 6821 = 7*w - 6677 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*x + 5 = 0, -2*x = -2*i - 3*i - 26. Let r be i - (2 + -4 + -159). Let p(b) = 4*b**2 + 3 - b**3 + 2*b**3 - 157*b + r*b. What is p(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 127150586008 + -0.3.\nAnswer: 127150586007.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.0124.\nAnswer: -0.00248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 2*w = -81 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93278.\nAnswer: 2, 46639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -150, -312, -474, -636, -798, -960?\n\"Answer: -162*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2001 + 10?\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.8 - 16. Let o = h - -1.2. Which is the nearest to -1? (a) o (b) 2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 r when three letters picked without replacement from {x: 3, t: 6, n: 5, d: 1, r: 2, k: 3}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 262075*m + 770. Let s(k) = -1365*k - 4. Determine 2*q(i) + 385*s(i).\nAnswer: -1375*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5412 + 5411.8. Which is the nearest to 123? (a) -4 (b) k (c) 2\/15 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8220256 is divided by 36862.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (94\/(-94))\/(10\/1980*-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/18 and 107\/2751258?\nAnswer: 8253774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 3 + (3 - 5 + 3)*(2 + 2 - 2))*(j + 0*j + j)*(8 + 10 + 5).\nAnswer: 230*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117\/(-91))\/(825\/(-1540)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**3 + 3*d - 6. Let o(n) = -11*n**3 - 9*n + 17. Let k = 16 + -10. Suppose 3*v - v - 10 = 0. Suppose 47 = v*x - 38. What is k*o(r) + x*j(r)?\nAnswer: 2*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 2:06 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7417 + 12538?\nAnswer: 7121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.13, -3\/7633, 0.03, 2\/23, 2\/5, -2\/25?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (-19 + 6 - -22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = -70 + 50. Sort v, 4, -2.6, 2\/5 in decreasing order.\nAnswer: 4, 2\/5, v, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least -947165\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*v = -58*v - 99. Let y = v + 74. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/53 - -127\/424. Let z(l) = -l**2 + 3*l + 4. Let v be z(4). Let i = 2.56 + -2.86. What is the second smallest value in v, f, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**2 + 208*h - 408 = 0.\nAnswer: 2, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 106.\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 404 + 324. What is the highest common factor of 168 and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/3451?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*5*sqrt(13) + (sqrt(78)*5)\/sqrt(6))*4.\nAnswer: 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 184\/12*(-165)\/110.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 7:48 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, o: 1, x: 5, i: 2, p: 1}. What is prob of picking 2 i and 1 o?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7*o - 100 = 0. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + (-1*sqrt(175) + sqrt(175) - sqrt(175)))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4359762 and 3567078?\nAnswer: 39237858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47401347 is divided by 6979.\nAnswer: 6958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 5*m**2 - 5*m + 5. Let i be z(-6). Let f(q) = q. Let a(l) = l + 1. Determine i*f(j) + 2*a(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1)*b*b*b)**0)**(-37\/4)*(b*b*b\/((b*b**0)\/b)*b*b*b*b*b**(-3)*b*b)\/(b**2\/((b**(-2\/11)\/b)\/b)) assuming b is positive.\nAnswer: b**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15\/1223 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 1152 - 1143, -2*o + 2*m + 4258 = 0. Sort -0.5, o, 2\/5 in decreasing order.\nAnswer: o, 2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -50*d**3 + 38*d**2 - 77*d + 35. Determine n(2).\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d + 0 + 13*d - 7 - 4*d in the form a*d + o and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-200)\/(-6)*711\/158. Calculate the common denominator of 20\/z - (-548)\/480 and 11\/188.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (7 + 4 + -17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-1*(-5 - 2). Let t(l) = -l**3 - 3*l**2 + 7*l - 2. Let g(n) = -3*n**3 - 8*n**2 + 20*n - 6. Let f(m) = -6*g(m) + 17*t(m). Is f(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -8, 5, -4\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x**2 + 3. Let v(n) = -7*n**2 - 2. Let l(h) = -3*u(h) - 4*v(h). Give l(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4373 + 4370.541. What is x rounded to one decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -19*r**2 + 175*r + 153. Determine u(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -13. Let g be ((-2)\/(-6))\/((-2)\/(-18)). What is w in -s*w - 6 + g*w**2 + 2 - 2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4 + 19\/2. Let h(v) = v**3 - 10*v**2 + 9*v + 4. Let a be h(r). Find the second derivative of 3*k + 19*k**3 + 28*k - a*k**3 wrt k.\nAnswer: 90*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -38*o**2\/25 + 74*o\/25 + 4\/25 = 0.\nAnswer: -1\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 f when four letters picked without replacement from ffcccff.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 84*j**3 - 3*j**2 + 2. What is the remainder when u(1) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 5913*q**2 + 17766*q.\nAnswer: -3*q*(q - 1974)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 6 - 51. Let j = h + -14. Is 10 a factor of -2 + 2 + j + 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 6*t**2 - 8*t - 8. Let k be p(-5). Let z = -4 - -29. Let r = k - z. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-54)\/(-9))\/18)\/((-212)\/40704)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(304) + 4)*6 - (sqrt(304) - (sqrt(304)*-1 + 5))*-1)*-2)**2.\nAnswer: 3328*sqrt(19) + 78500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, o: 1, l: 1, a: 1, k: 1, s: 2}. Give prob of sequence skh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 32901.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/2*(-2)\/(-6). Suppose -2*a = -3*y + 14, -4*a = 3*y - 145 + 101. Solve -a = -3*u + w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqmmuqqmammmmaqqa. What is prob of picking 2 a and 2 q?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(84) + 1*sqrt(84)*-1))\/((sqrt(144)*-2 + sqrt(144))\/sqrt(12) - (sqrt(12) + (sqrt(432)*1 - sqrt(432)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -579853 + 1149853. Round t to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1432248795?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1713154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011121 - 211001112?\nAnswer: -201212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 + -37. What is the remainder when k is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 2*s - 1. Let v be m(2). Let d be (1*3)\/(-14 - (43\/(-4) + -4)). Solve 5*x = d*x - v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 9875\nAnswer: 6\/9875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 12) to base 14\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26112383 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 10:03 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/257? (a) 0.1 (b) 3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6976208789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**6\/120 - l**5\/15 - l**4\/24 - 2*l**3\/3 + 9*l**2. Let g be p(-4). Suppose 4*s - 2*s = g. Solve -c - c - 2 = s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 + 19*x**2 - 9*x - 15. Let n be l(-8). Let j = n - 244. Calculate the remainder when 72 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23329649 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 20. Solve z*s = 6*s + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.04 + -0.04. Let h = 33732 + -33736. What is the second smallest value in k, h, -5, 2.9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, e: 5, n: 2, m: 2, x: 5}. What is prob of picking 2 g and 2 x?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -20*n + 32. Let u(i) = -7*i + 11. Let q(j) = 6*s(j) - 17*u(j). Let f be 4 + -4 + 5 + 0. Let h be q(f). Solve 0 = -g - h*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -29*d + d - 2*d. Let l(f) = 29*f. Let j(m) = 4*m. Let n(y) = 14*j(y) - 2*l(y). Determine n(s(h)).\nAnswer: 60*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 481*v = 496*v - 90. Solve 746*j - 743*j = -v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -520*y - 305*y + 294*y - 387*y - 545*y to the form g*y + o and give g.\nAnswer: -1463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.02 (b) 21648 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - ((sqrt(117) - (sqrt(117) - sqrt(117)*2)) + sqrt(117)))\/sqrt(9) - (sqrt(468)\/sqrt(12))\/sqrt(3).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 46*a + 8 - 2 to r + v*a and give v.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-2) - ((-11016)\/(-144) + 25).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3*u + 63 + 33, 138 = 4*o - 2*u. What is the remainder when 179 is divided by o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-369)\/(-738) + (-3)\/(-4) + -1. Is d bigger than 296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 - 216. Let v = -119 - q. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -815, -1643, -2471, -3299?\nAnswer: -4127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-5)*(-2)\/8*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 35 = 10*o. What is the nearest to -10 in o, -1\/5, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) 2 (b) 3\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from uuucrcuc.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 896786a (base 11) to base 7\nAnswer: 250422232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -4 - (-8 + 15 + (-1 - 5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 882.266 centimeters?\nAnswer: 8822660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -49, -50, -51, -52, -53?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/8 of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 1:55 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s**3 + 2*s**2 + 2*s + 1. Let i(r) = -r**3 - 8*r**2 - 14*r - 5. Let h be i(-6). Suppose 0 = -6*j + h*j - 3. Suppose 7*v + 10 = j. Give x(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-54)\/(-21))\/((-6)\/(-28)). Calculate the highest common factor of i and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 2*f + 24. Let t be (-6)\/8 - (-6)\/8. Does 10 divide d(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 501 and 5177?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 99?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-32)*14*-4. Suppose -11 = -2*u - w, 0 = 3*w - x*w + 12. Suppose -u*c = 3 - 15. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -20*z - 17. Let j = 8 - 5. Let l(v) = v + 5 + 6*v - j + 4. Calculate 17*l(a) + 6*o(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -126805 and 1049.\nAnswer: -125756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**4 - 160*d**2 - 469?\nAnswer: 4*d**3 - 320*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -122*y + 2. Let s(d) = -119*d + 2. What is -4*r(h) + 5*s(h)?\nAnswer: -107*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 5*k - 8, 5*f + 4*k - 14 = -3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -3*s**4\/4 + s**3\/3 - s**2\/2 + 529*s - 96. What is the hundreds digit of b(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a*g*k**2*r**2 - 47178*a*g*r**3 + 15*a*k**2*r**3 - a*k**2 + 309*g*k**2 + 41*g*k*r**2 + 2*k**2*r**2 + 2*k**2*r wrt r.\nAnswer: -283068*a*g + 90*a*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -209.418 + -0.582. Let d = p + 206. What is the biggest value in -1\/2, d, -4\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 7*c - 4. Let x = -343 + 337. Calculate t(x).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -113, -108, -103, -98, -93?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.32 + -0.319971. What is s rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 6*q**2 - 11*q - 29. Let k(d) = -3*d**3 - 18*d**2 - 29*d - 84. Let a(p) = -6*k(p) + 17*z(p). What is a(-8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000016905 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -110*s + 942. Let t be o(8). Solve -64 = t*v + 370 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(-20)*(s**(-1\/4))**(-22\/7) assuming s is positive.\nAnswer: s**(291\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -22. Calculate the remainder when c is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c (base 16) to base 3.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3532325 (base 7) to base 10.\nAnswer: -445037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 593841301 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 135349.37 (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 563265354 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 371 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/14*42\/6. Solve 6*c**3 - 1 - 5*c**5 + 12*c**2 - 5 - 48*c + 45*c - p*c**4 + 2*c**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1938*s**3 - 3*s**2*y**2 + 2*s - 187035*y**2 wrt s.\nAnswer: -5814*s**2 - 6*s*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2\/4 - 15401*o\/4 + 15403\/2 = 0.\nAnswer: -15403, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/3367 and -33\/481?\nAnswer: 3367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/8723520 and 11\/288.\nAnswer: 8723520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/13, 0.0472, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*i + 4165 = 0, -4*i + 4168 = 7*c - 3*c. Suppose -9489 = -7*o + c. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-209)\/(-120) - (-210)\/(-140) and -91\/180.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 27*f = -9. Suppose 0 = -f*o + 173 + 274. Calculate the remainder when o is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*2\/(-3)*15\/10. Let l be (-76)\/(4\/(-36)*o). Suppose 8*s - l = 434. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*j = -16, 0*n + 5*j = 3*n - 17. Let l be 2*40\/(0 - n). Let a be (-175)\/l*(5 + -1). Calculate the highest common divisor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 915 = -3*l - 12*u, 3*u + 915 = -3*l. Let s = 318 + l. Let t(y) = -y + 8. What is t(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 59353 and 46.1?\nAnswer: 59306.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - b - 670 = -11*c, -3*c - 5*b + 992 = 0. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158\/1*(-2)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 r when four letters picked without replacement from {l: 1, q: 6, z: 2, i: 3, t: 3, r: 4}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + j. Let r(c) = -c**2. Let a be r(j). Let i = 6.5 - 5.5. Put -5, -2\/21, i, a in decreasing order.\nAnswer: i, a, -2\/21, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -26088 - 188*f**2 + 3*f**3 + 11025*f - 23285 - 127*f**2 - 79252 = 0.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-28)*(44 + 4)\/12?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1177*h + 72. Let c(b) = -5648*b + 360. Let j(l) = -5*c(l) + 24*w(l). Give j(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*p**4 + 17*p**2 + 13*p**2 - 103*p**4 + 0*p - 32*p**2 + 2*p to the form m*p + h*p**2 + i*p**4 + y*p**3 + l and give i.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -i - 2*j - 1, 0 = -3*i - j - 1. Let d(v) = 4 + 1 - 4 + 5*v**2. What is the units digit of d(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15509?\nAnswer: 13, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194 - 383 - 3*r + 189.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**5\/4 - 3*w**4\/2 - w**3 + 3*w**2\/2 + 5*w\/4 = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, k: 2, i: 2, u: 8, v: 2, w: 1}. What is prob of sequence iik?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4) + 49\/(-28).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 76513696?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8661?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 212 - 423\/2. Let j be 6*(-2 + (-36)\/(-16)). Let l be ((-66)\/99)\/(-1 - 8\/(-3)). 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: Solve 1 + 6 = d + 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 317443 = d + l, 0 = 3*d + 3*l - 952347. Let t = d - 1281125\/4. Let q = t + 2850. Find the common denominator of q and -79\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r - 31 = 29 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1. Let n(i) = -i + 4. Let y(g) = d(g) + n(g). Let u be y(0). Solve 25 = -5*w + u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847834713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8759162627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -140*o**2 + 714*o + 119. Let u(t) = -7*t**2 + 36*t + 6. Let s(p) = 6*b(p) - 119*u(p). Let k(i) = 20*i**2. Give k(s(w)).\nAnswer: 980*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4646 and 606?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 + (-81)\/(-9))\/(-4). Which is smaller: 12\/23 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5*d + 140, 8*y - 3*y - d - 175 = 0. Suppose 19*u - y*u = 0. Which is smaller: u or 13\/67?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(6\/4 + 6\/(-3)). What is the closest to 0.3 in 0.1, -4, q, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 74.52305 micrometers?\nAnswer: 0.00000007452305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1932)\/49 - -52)\/((-4)\/28).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + 96. Is o a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.6 - 2.4. Let n = -36 - i. Let t = n - -17.99999978. Round t to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*v**4 + v + 3*v**4 + 4*v in the form d + r*v**2 + x*v**3 + q*v + j*v**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 149683123901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 y, and 1 v when four letters picked without replacement from {y: 2, b: 4, o: 1, g: 2, v: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62519963 divided by 183343.\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 7*z**3\/3 - 70*z**2 - 230*z. Let q be s(10). Solve q = u + 2*b - 7*b + 13, 5*b - 1 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86151569 + -49771942. Let f = -36379627.33999962 + n. Let x = -0.34 - f. Round x to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 11*c + 4. Let a be q(11). Suppose 0 = -0*z - 2*z - 5*x + 27, 24 = 2*z + a*x. What is the highest common divisor of 54 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/11 + (-168)\/154?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -11*z + 18, -3*n = z + 759. Do -252 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-70)*(-75)\/72. Is 1 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = 2*c - 1624. Is c a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 5*m - 466. Suppose w = -w + m. What is the remainder when w is divided by 1*10*2\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24935 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 56110.011 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -22*g**2. Let i(t) = -5*t**2 - 6*t. Let z(w) = -9*w**2 - 11*w. Let q(j) = 11*i(j) - 6*z(j). Determine h(q(o)).\nAnswer: -22*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 206*a**2*m**3 + a*m**3 + 136*a*m**2 + m wrt a?\nAnswer: 412*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 930*o - 9295. Give z(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -27*q - 414. Determine r(-18).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 31\/1725, -1868, -5, 5?\nAnswer: -1868","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -346*m**2 + 5*m - 10. Let w(p) = 173*p**2 - 3*p + 6. Let o(k) = 3*h(k) + 5*w(k). Let n(c) = 2*c. Calculate o(n(t)).\nAnswer: -692*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1637492, -1637465, -1637438?\nAnswer: -1637411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 0*w**5 + 0*w**2 + 0 - 1\/2*w**3 + 0*w**4 + 3*w + 1\/15*w**6. What is the second derivative of p(m) wrt m?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2044 + 6?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 6:48 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-908)\/(-3178)*(0 + -98) - 72?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i - 5 = 4*w, -3*i + 5*w = -70. Solve o - i = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -327 - -331. Sort 16, 0, -1, n in increasing order.\nAnswer: -1, 0, n, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3286*s**2*v - 130*s**2 + 58*s - 2*v wrt v?\nAnswer: 3286*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18849071 is divided by 1322.\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8375, -8376, -8377, -8378, -8379?\nAnswer: -8380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -25*l + 16. Is r(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -13*r + 353. Determine v(9).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by 2.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.065 + 23. Let y = k - -0.335. Let v = y + -0.32. What is v rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143792, -287593, -431394, -575195, -718996, -862797?\nAnswer: -1006598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*u + 232 = 76, -5*p = 2*u - 230. What is the third biggest value in p, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**4 + 19 + g**2 + 3*g - 2*g**3 - 11 - 10 to k*g**3 + x + v*g**2 + h*g + p*g**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8\/9 (b) -0.2 (c) -1\/2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15136 - -1?\nAnswer: -15135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -138 + 148. What is the highest common factor of c and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/20)\/r**(-4\/3)*r**(-1)*r*r**(-10) assuming r is positive.\nAnswer: r**(-517\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 29 - 287*b + 91*b + 92*b + 95*b. Let l be f(3). Let p = 6 + -47\/9. Which is bigger: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5545*k - 5549*k - 3400*k)*((2 - 4 + 0)*(4 + 0 - 3) - 1 + 0 + 0 - 1 - 1 + 0 - 1 + 1 - 1 - 3 + 0 + 4 + 2 - 3 + 3 + (0 + 1 + 0)*(-1 + 3 - 3)).\nAnswer: 57976*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 9607*c - 14 - 14 - 47 + 75 as u*c + b and give u.\nAnswer: 9607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 275, 282, 295, 314, 339?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.79878 - 12.8. What is m rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 4*o - 53. Let z be c(6). Solve -39*g = -z*g + 128 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 13320570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o - 10. What is a(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + l + 15, -11 = -5*l + 14. Suppose 0 = -p*f + 32 - 16. Suppose 0 = -f*x + x - 3. Which is greater: x or -1\/34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 279 - 243.5. Let d = 35.5 - l. Which is the nearest to d? (a) 41 (b) -0.2 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 4. Let r(q) = -3*q**2 - 11. Let p(j) = -2*j**2 - 6. Let k(s) = 5*p(s) - 3*r(s). Let t(n) = 3*i(n) + 4*k(n). Let d(c) = 3*c. What is d(t(b))?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**3 + 419*z**2 - 118*z - 1485. What is b(-105)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -29. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 + 64. What is the least common multiple of 9 and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43301961 * -2.\nAnswer: -86603922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 84 + 1 = -0. What is the fourth biggest value in o, -17, 3, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/14 and 104\/158025.\nAnswer: 316050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*m + 32. Let a be m\/28*(8 - 1). Is (105\/(-25))\/(a\/(-40)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - g**2 + 2. Let s be r(0). Suppose 5*d + s*w - 4*w = 26, 8 = d + w. Let p be 4\/d*(-9)\/21. Which is the nearest to p? (a) 0 (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 + 0.13. Let n(c) = c**3 - 9*c**2 + 16*c - 15. Let d be n(7). Let q be 0\/d + (1\/3)\/(-1). Sort v, q, -5.\nAnswer: -5, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -992932 (base 16) to base 14\nAnswer: -1494002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 3*d**2 + 19. What is the lowest common multiple of p(4) and (-1)\/(-3) - (-16)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1375 (b) -0.2 (c) -31\/4 (d) 119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 14*c - 2 + 18*c)*(-2*c**2 - 2*c**2 + 8*c**2).\nAnswer: 16*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzzplpzlzpzzpz. Give prob of picking 1 z, 1 p, and 1 l.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -291*z**3 - 28*z**2 + 4*z.\nAnswer: -1746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 633, 229?\nAnswer: 633","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -470 in 5, -1, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*a**2*o + 2*a**2 + 27*a*o - 1413*a - 3840423*o - 4 wrt a.\nAnswer: 56*a*o + 4*a + 27*o - 1413","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.44511 milliseconds to minutes.\nAnswer: 0.0004074185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -2\/18978469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 0*k + 0 - 1\/60*k**5 + 1\/24*k**4 - k**2 + 0*k**3. What is the second derivative of f(q) wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/4 + 1840\/(-32). Let h = -46 - r. What is the derivative of -3 - 3 - 13*a - h wrt a?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3104 divided by 3104?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00327034501 rounded to 6 decimal places?\nAnswer: 0.00327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1381*k**3 + 21*k - 6*k**2 - 20*k + 2*k**2.\nAnswer: 1381*k**3 - 4*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 580.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*c = -4*m + 49*c + 13, 0 = -2*m + c - 1. Suppose 0 = -3*j - m*s + 17, -2*s = 18*j - 21*j + 25. Let v be 2*((-15)\/2)\/(-3). Solve 2*o = j*o - v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -59*j**2 + 1 + 2 + 58*j**2 - 8*j + 0*j. Let x be -11 + 19 + 0 + -2 + 1. Let t(d) = d**2 + 7*d - 3. Determine x*t(o) + 6*p(o).\nAnswer: o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 9*m**4\/4 - 7124*m**3 - 10136191*m**2\/4 + 1126947*m\/2 = 0.\nAnswer: -323, 0, 2\/9, 3489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306596 + 306510 + 81*o - 613106.\nAnswer: 81*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 64759 rounded to the nearest one thousand?\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7637925225 to the nearest integer?\nAnswer: 1969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 99.\nAnswer: -4\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**2 + 7*v - 6. Let f be n(4). Suppose f = -0*d + 2*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5653 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 539 + -316. Let r = -222.6 + t. Which is the smallest value? (a) 1 (b) -1\/2 (c) -4 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 282 + -293. Let n be (420\/(-16))\/(k\/264). Calculate the highest common divisor of n and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-426))\/(2\/3). Let h = -217\/284 + t. Which is the nearest to -1? (a) -0.3 (b) 0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*s + 5. Let k(f) = -f**3 + 5*f**2 + f - 6. Let c be k(s). List the prime factors of (-4)\/(-5)*(0\/c - -20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + 0*f - f)*(f**3 + 0*f**3 - 2*f**3) + 1081 - 19*f**2 - 2*f**3 - 55*f**4 - 1081 to the form h*f + x*f**4 + c + b*f**2 + m*f**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-35) - (-2)\/(-7). Solve b*a + 3*a = -w - 13, 0 = -5*a - 5*w - 25 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3712 a factor of 22888192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 3. Let s be c(-2). Let l = 3 - s. Solve -3*u + 4 = -l*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6335.734 to the nearest ten.\nAnswer: -6340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 667206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 205030959 a multiple of 1303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -834*z = -830*z + 8416000. Round z to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 47*p**3 + 12*p**2 - 16*p - 12. Let y be r(2). Let v be (-1 - 14)\/((-45)\/60). What is the greatest common divisor of y and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1196, 2402, 3612, 4826?\n\"Answer: 2*j**2 + 1200*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 366 - 191 + 4501*o - 175 to the form c + u*o and give u.\nAnswer: 4501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.055183 to 2 dps.\nAnswer: 1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 48310.1 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4) - ((-6)\/(-10) + (-147)\/(-2730)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2424 * -70\nAnswer: -169680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 25. Determine z(23).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 23*a**2 - a + 18. What is w(23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 1:43 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32 + 3 - 4\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -24 (c) -0.3 (d) 5 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 (base 7) in base 9?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -23*i + 809. Calculate x(32).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 11, x: 1}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 777408670 to the nearest integer?\nAnswer: 27882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 q, and 1 k when four letters picked without replacement from {q: 3, h: 5, k: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3 = -0*x + x, -4*x + 3*y + 23 = 0. Suppose -5*g + x*b = -2*g - 39, 4*g + b = 41. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, d: 1, h: 4, e: 3, m: 1, b: 1}. What is prob of picking 2 m and 1 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1763041 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 2.59?\nAnswer: 2.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-10))**9 assuming b is positive.\nAnswer: b**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 31\/5 of a minute?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -244 by 3.\nAnswer: -244\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14103 + -4?\nAnswer: -14112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 26*g + 10 - 6)*(7*g + 0 - 3*g - 2).\nAnswer: 104*g**2 - 48*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 5*v**2 + 2*v - 4. Let i(l) = -3*l**3 + 16*l**2 - 6*l + 13. Let x(s) = 2*i(s) + 7*r(s). Is 6 a factor of x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 14*w. What are the prime factors of n(-11)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from jcjcohzu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-75)\/(-27) - 1) + -2. Let g = -3364\/7 + 480. Which is the closest to 1\/3? (a) g (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-30)\/(-10)*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*i - 38 - 142, -d + 14 = 4*i. Suppose -5*v + 438 - 28 = 0. Suppose 71 = 3*q - v. What is the highest common factor of d and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-236)\/(-885) + (-1316)\/210.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 times -9.08?\nAnswer: -208.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(500) + 1)**2.\nAnswer: 40*sqrt(5) + 1002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 314.51 and -427?\nAnswer: -134295.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*k + (0*k + 0*k + 2*k)*(-5 + 0 - 8))*(-3 - 1 + 2)*(-3 - 2*k + 3).\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-2 + sqrt(396) + 1) - (4 + (3 + sqrt(396))*-3))*5*5)**2.\nAnswer: 52500*sqrt(11) + 278125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.084322 * -0.81.\nAnswer: 0.06830082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25055 divided by 541.\nAnswer: -25055\/541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Let v(x) = -12*x + 2. Let h(j) = 8*j - 1. Let q(u) = 8*h(u) + 5*v(u). Suppose 2*i - 1 = i. Determine i*q(d) + 3*m(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -128*t**3 - 35*t**2 + 49*t - 17. Let u(j) = -16*j**3 - 4*j**2 + 6*j - 2. Give -2*p(d) + 17*u(d).\nAnswer: -16*d**3 + 2*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -982\/5 or -196?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -22*n**2 + 10178*n + 10178. Give l(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**4 - 480*f**3 - 5583*f**2 - 10356*f + 16416 = 0. Calculate f.\nAnswer: -8, -4, 1, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -753 + 800. Let a be i\/188 + (-10675)\/(-4). What is a rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f + 0 + 5\/4*f**4 + 1\/4*f**2 - 1\/2*f**5 - f**3.\nAnswer: -f**2*(f - 1)**2*(2*f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**2\/2 + 17*v + 8. Let h be i(5). Let k = -12 + h. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 17. Let b be 7\/((-127)\/(-63) - (f - 0)). Let g be b\/91 + (-2)\/(-13). What is the greatest common factor of g and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -239.\nAnswer: 32\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/30*2)\/(1\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/(-2) - 39600)\/(50 + -51).\nAnswer: 7, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + -4 + 10 - (4 + 11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f**3 - 2*f**2 - 3*f + 2. Calculate the lowest common multiple of z(2) and (8\/(-6))\/((-2)\/3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**2. Let x(k) = 7*k**2 + 9*k. Let j(l) = -2*g(l) - x(l). Calculate j(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1306\/7 - 187. Suppose 0 = -4*n + 4. Suppose n - 5 = -4*v. Which is smaller: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-3 - (-1 + -11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100001100010 + 110100011100?\nAnswer: 1001010101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2*b + 2)*(-479 - b**2 + 966 - 476).\nAnswer: -2*b**3 + b**2 + 22*b - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -3. Let i = 3818.5 - 3823.5. What is the third biggest value in -2\/11, 15, i, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.22 - 0.22. What is the third smallest value in -2, h, -1\/10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5458)\/6)\/((-6)\/18). Let i(d) = d**2 - 7*d + 4. Let g be i(7). Suppose -2*c = -6*c - g, -5*b = -4*c - a. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o + 19. Let v be a(0). Let j(t) = -t**2 + 19*t + 12. Let w be j(v). What is the tens digit of 20*5\/(75\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -2 (b) -0.04 (c) 0.1 (d) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3739, 3740, 3741, 3742, 3743?\n\"Answer: y + 3738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. What is the third derivative of 2*a**5 + a**z + 5*a**2 - 4*a**2 wrt a?\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1*0\/(-3))\/((-28)\/(-28))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 16\/5, 6, 0.4, -5, -88, -4, 5?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*((-195)\/(-10) + -4). Let w = d + -25. What is the units digit of -2*(w\/(-39) + (-880)\/26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Find the third derivative of -2*d**6 + 2*d**5 - d**q - 2*d**5 + 3*d**2 wrt d.\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 16 = -10*f. Let u(w) = -w**3 + 5*w**2 - w + 5. Let z be u(5). Let m be -1 + -1 + z + -3. Put 3, f, m in ascending order.\nAnswer: m, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5114 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1060, -1701, -1910, -1687, -1032?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -14*m - 1. Determine w(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6300924 - 5?\nAnswer: 630091a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 9730421.46 to the nearest 100000.\nAnswer: 9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620) + (sqrt(1620) + (1 + sqrt(1620))*3 - sqrt(1620)))**2.\nAnswer: 432*sqrt(5) + 25929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + (33 - 8))*(-4)\/246. Is l bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 1:11 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 a, and 1 i when three letters picked without replacement from {a: 1, o: 1, i: 10, v: 2, g: 2, r: 3}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 529 - 18*s + 522 - 1051.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nntt when four letters picked without replacement from nnnttqqnttnn?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 + 241 + 5*l**2 - 233.\nAnswer: 5*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36.2 and -96529?\nAnswer: 3494349.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6860)\/(-5) - (6 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147 and 1302.\nAnswer: 9114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6784 divided by -14\nAnswer: -3392\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17.03073 micrograms?\nAnswer: 0.00000001703073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -9\/7, 3\/2, -0.16?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9321380204 - 3?\nAnswer: -9321380207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -1. Let p(f) = -49*f - 8. Let u(t) = -25*t - 4. Let q(d) = -2*p(d) + 5*u(d). Is q(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 376. Let v(f) = 50284*f. Calculate u(v(y)).\nAnswer: -50284*y - 376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4758 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 138 - 409. Let o be 2*2\/(-12)*(4 + v). Suppose 3*z - o = 67. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65534619.0624 minus 22?\nAnswer: -65534641.0624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 4303049\nAnswer: -4303042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5561 from -0.02.\nAnswer: 5560.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((0*(-1)\/3)\/(-2))\/(-2). Sort -4, 6, -1, z.\nAnswer: -4, -1, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146878?\nAnswer: 2, 23, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2*-6)\/(-1). Suppose a*q + 66 = m + 4*m, -4*m + q + 50 = 0. Suppose 0 = -2*k - m + 12. Solve k*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00031566 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123013*d**2*q - 1111*d**2*y - 46*d*q*y + 554894*d*q - 2*d*y wrt d?\nAnswer: -246026*q - 2222*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -333, -518, -701?\nAnswer: -882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217469.\nAnswer: 7, 47, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otottotttot. What is prob of sequence ottt?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 260 = -4*q, 232 = 5*o - q - 28. Let w be o\/14 + 6\/21. Suppose 5*r - 4*r = -w*a + 89, -2 = -2*r. Calculate the smallest common multiple of 6 and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 310516018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*j + 114*j + 64 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 401 - 8296*f**2 + 8293*f**2)*(2 - 4 + 4)*(-2 + 2 - f) + f**2 - f**2 + 2*f**3 as b + u*f**3 + o*f**2 + q*f and give q.\nAnswer: 770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 68075698 to the power of 1\/2, to the nearest integer?\nAnswer: 8251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23315951 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440*a = -447*a + 133. Let x(f) = -10 + 4 - 4 + a - 4*f. Give x(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6247, -5833, -5415, -4993, -4567, -4137?\n\"Answer: 2*p**2 + 408*p - 6657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008239967 rounded to 6 dps?\nAnswer: -0.00824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 9233340.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*j + 19 = -0*d, 0 = -3*j - 15. Factor -1\/2*a**d - 2 + 0*a + 3\/2*a**2.\nAnswer: -(a - 2)**2*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 4*g - 0*j, 0*j = 13*j + 52 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64475123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**5\/3 + 367*q**4\/9 + 122*q**3\/9 = 0.\nAnswer: -122, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than or equal to -12\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3143 - -10?\nAnswer: 3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - z + 9 = 0, j + 2 = -5*z + 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*w + 6925, -2*x = 26*w - 23*w - 2770. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -5*t + 18 - 4, 5*q + 2 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 72.82588 microseconds?\nAnswer: 72825.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g - 579 - 630 - 342 = -1836 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 366935.\nAnswer: -36693.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*n - 552 = -368*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 175 + -170. Let i be (200\/z)\/5 + -5. Find j such that -49\/3*j**2 - i - 14*j = 0.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 17*p - 83. Give v(17).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 16461.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -5268.\nAnswer: -5268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/27)\/((-2)\/(-579)). Let m = 580\/3 + a. Determine q, given that -m*q**3 + 0 + 1\/6*q + 1\/6*q**5 + 0*q**2 + 0*q**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 - 14*j**2 - 3*j + 7. Let r be h(7). Let p be 5 + 1 + -6 - r. Solve -p = f - 4*u, -f - u = u - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 11*s - 4. Let p be a(-7). Let i(c) = 15*c**2 + 485*c - 485*c. Let h be i(4). Calculate the highest common divisor of h and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -34. Let n = r - 14. Suppose -140 - 170 = -n*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1906 - -5?\nAnswer: 190b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - -0.73. Let k = 0.22 + j. What is the nearest to 2\/7 in -1\/2, k, -1.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 419 + -295. Suppose 0 = -2*s - 2*s - 4*f + 80, -3*f - g = -5*s. Suppose 0 = -2*w - 27 + s. Let j(n) = -2*n**3 - 2*n**2 - n + 1. Determine j(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -2841\nAnswer: -852.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) -3\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107759312 a multiple of 1107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v. Let m = 56 - 52. Suppose t = -o - 2, m + 2 = -2*o. Give d(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 1. Suppose -2*k = -0*k - 4*f - 4, 4*f = k - 10. Let z = 10 + k. Sort 5, n, z in ascending order.\nAnswer: n, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*16\/(-196))\/(-26*(-16)\/(-1456))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86 + 7*g - 11*g + 0*g + 3*g to the form t + c*g and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*m - 9 - 209, d = -4*m + 223. Suppose 5*j - m = 23. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*d + 2\/7*d**4 - 8\/7*d**2 - 16\/7*d**3 + 4\/7*d**5 = 0 for d.\nAnswer: -2, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43111 is divided by 109.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-1)\/q)\/q)\/q)**(-12))**(-21)\/((q\/q**1)**(-3)*(q**1)**18) assuming q is positive.\nAnswer: q**(-1026)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddbi when four letters picked without replacement from fffibbbxfxfdxdffbxff?\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 2. Let b(m) = -m + 1. Let w be b(j). Let g be (-1 + -4)*4\/w. What is the greatest common divisor of g and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1922 take away 10?\nAnswer: 1912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 100*q**3*v - q**3 - 12*q wrt v?\nAnswer: 100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 9:22 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6066 (base 7) to base 2.\nAnswer: -100000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 95228\/(-11454568)*(60\/(-21))\/(-5)\nAnswer: -2\/421","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1339 = -92*w - 1599 - 591 + 1965 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 212210021 (base 4) in base 3?\nAnswer: 22000200102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -43. Calculate the greatest common factor of 23 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -3*45\/(-27) + (-5 - -7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n + 25*n + 14160 = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.84 (b) 0.3 (c) -2\/9 (d) 11\/2 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -16*x**3 - 13*x**2 - 15*x - 51. Let q(b) = 5*b**3 + 4*b**2 + 4*b + 18. Determine 2*n(v) + 7*q(v).\nAnswer: 3*v**3 + 2*v**2 - 2*v + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 7. Let d be b(6). Let s be (8\/(-20))\/(d\/5). Solve -1 = -s*z - 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102373 + 28514 - 18548 = -9382*g + 104615 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 135*h - 55. Suppose -5*x + b - 5 = 0, -3*x - 2*b - 11 = -b. Let p(a) = 5*a - 2. Give x*o(l) + 55*p(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -0.56. Let y = 13.6 + -13.7. Which is the second smallest value? (a) w (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 45685575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 551842, 551810, 551778, 551746, 551714, 551682?\nAnswer: 551650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -441549.43 and 2.\nAnswer: -883098.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1095*g + 3. Let n be b(0). Let z = 2288 - 6688\/3. Put 1, n, z in increasing order.\nAnswer: 1, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 9*q**2 + 8*q + 2. Let r be c(-8). Suppose -r*g - o = 23 - 66, -94 = -5*g + 2*o. Solve -2*a - 2*a = g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1dc8 + -60?\nAnswer: 1d68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37130054 is divided by 790000.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/(-15) - 2)\/((-2)\/51). Let a(l) = 5*l - 35*l**2 + 19*l**2 + 3 + n*l**2. Let y = 5 - 10. Calculate a(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*j + 30, 3*i + 2*j - 7 = -4. Solve 16 = -4*w - i*y, -8 = y + y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -32.15?\nAnswer: 35.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a7a3 + -1b?\nAnswer: -6a7c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 2. Suppose -b + 17 = -3*t, -3*b + 21 = -0*t - 3*t. Let x be a(b). Let k be (-12)\/8 + 3\/(-6). Is k bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (19 + -33)*(-6)\/21. Suppose -8566 = -t*n + 36142. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -25, -19198, -18 in descending order.\nAnswer: -1, -3, -18, -25, -19198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 134.65 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-2)\/(11 + 1)). Let n = v - 0. Suppose 10 = n*a - a. Solve -15 = r + 2*g, -a*r + 4*g = g - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 6) to base 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26277934*x**2 - 22092824*x wrt x?\nAnswer: -52555868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from {m: 8, w: 3, c: 4, g: 1, u: 3}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5 = 5*b, 31 + 21 = 4*d - 2*b. Let w be 5\/6*(d - (-1 - 2)). Is w <= 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a microgram in nanograms?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 190*q**3 - 190*q**3 + 125*q**4 + (q**3 + 0*q + 0*q)*(2*q - 3*q + 3*q) to y + r*q**4 + w*q**3 + p*q + i*q**2 and give r.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*f - 14852 = 0, 3*k - 100*f - 22254 = -97*f. What is the remainder when k is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*2\/6 + -2. Let s be -6 - 0\/(2 + l). Let v(y) = y**3 + 7*y**2 - 3*y - 5. Is v(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 12:14 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(177*k**2 - 703*k**2 - 10*k + 227*k**2).\nAnswer: 299*k**2 + 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7734596138 less than -0.4134?\nAnswer: -7734596138.4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 + -9 - (-2 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30, -41, -54, -69, -86?\n\"Answer: -s**2 - 8*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 477 and 2.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -84 (b) -2\/13 (c) 1\/5 (d) 0.1 (e) 550\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 476.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.0022 and -33778824705?\nAnswer: 33778824706.0022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 652 and 2508733?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m + 73 - 73. Let h(w) = 3*w. Give h(i(u)).\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = -15 + 55. List the prime factors of 69\/(-3 + i) - 1\/1.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 1 - 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 401 divide 14640159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (74186\/164269)\/((-4)\/(-155))\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - 2*f - 2*f)*(0*f - 35*f + 550 + 33*f) in the form m*f + o*f**2 + j and give m.\nAnswer: -2200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 226 - 204. Let i(u) = -5*u + 9. Let z(n) = n - 2. Determine p*z(d) + 4*i(d).\nAnswer: 2*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23393585 is divided by 669?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 9*l**2 - 8*l + 1. Let z be t(8). Suppose r + 37 - z = 0. Let y be r\/(-6) + 2*-1. Solve 0 = n - 0 - y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - f + 3. Let b be q(3). Suppose -6 = -4*w - 34. Let t(j) = j**2 - j - 2. Let k be t(w). Calculate the greatest common divisor of b and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 226744606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(252\/(-78)))\/(7\/(-84))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2323112, -2323110, -2323108, -2323106?\nAnswer: -2323104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*z**5 - 43*z**3 - 33398*z wrt z.\nAnswer: -940*z**3 - 258*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -4*s, -3*s + 11 = 2*p. Suppose -3 = l - p*l. Suppose -4*u = -l - 39. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1436 + 1917 + 18*p**3 - 856*p - 4*p**2 + 1039 + 883*p wrt p.\nAnswer: 54*p**2 - 8*p + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 513, -15, 5, -6, 1.\nAnswer: -15, -6, -4, 0, 1, 5, 513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16593 + 16583. Which is the biggest value? (a) -0.3 (b) -150 (c) -4 (d) q (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 4 - 1\/(-3)*-3. Solve 9*t = g*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -711 + 216. Suppose -4*d + 2*a - 1351 - 623 = 0, 2*a - 3462 = 7*d. Is d less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 8 + -6 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*w + 18367 = -85*w - 7853 for w.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 11*d**2 - 8*d - 11. Let x(b) be the first derivative of -b**4 - b**3\/3 - b**2 - b - 4. Let p be x(-2). Suppose 4*f - p = 9. Give n(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 512 and 263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(171) + sqrt(171)*2) + (sqrt(171) - sqrt(171)*2)*3)\/(-3*(1*sqrt(225) + sqrt(225))).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q = -8, 0 = -w + 5*q + 12. What is the remainder when 185 is divided by w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 9:58 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13868, -55522, -124946, -222140, -347104, -499838, -680342?\nAnswer: -888616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -618 equal to -1\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*o + 2*m, 5*m + 40 = 5*o. Suppose 3*k - 12 = -o*d, -d + 2 - 18 = -4*k. Suppose 7*b = -b. Solve 4 = 2*z - 5*g - d, 4*g = b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212544 and 1395.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22ac - -2?\nAnswer: 22ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 11. Let w(p) = 2*p**2 + 5*p**2 - 2 + 1. What is the remainder when t is divided by w(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {a: 3, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.05 (b) -113 (c) 0.2 (d) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1)*(13 - 13 + 16*t)*(7 - 2 - 3)*(-3 - 3 + 4) - 4*t + t + 4*t to the form n + f*t and give f.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 0 + 2 - 4*u - 71*u**2 + 72*u**2. Suppose 3*i - 3*y + 0*y = 12, -y = -4*i + 19. Is 7 a factor of g(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3 + (-1 + 0 + 0)*(-1 - 2 + 2) + 3 - 3 - 4)*(-6*j**3 + 0*j**3 + 0*j**3).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 121)\/(-2) - (-8 - -21)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -989 divided by 71082?\nAnswer: -989\/71082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 658, 4820, 15984, 37642, 73286, 126408, 200500?\nAnswer: 299054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxk when three letters picked without replacement from {x: 2, k: 1, s: 1, u: 3, z: 5}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 10 - 15 - 487*n + 37 to the form j + x*n and give x.\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 16 = 2*u + 2*o, -5*u + 17 = 4*o. Suppose u = -7*y - 16. Let v be y\/(-1) + (10 - 12). What is the highest common divisor of v and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 5)*(2 + 2*x - 2) + (2 + 6 - 3)*(-33 + 21*x + 33))*((-2 + 2 + x**2)*(0*x**2 + 2*x**2 - x**2) + 3*x**4 + 2*x**4 - 2*x**4).\nAnswer: 428*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1350500 by 365.\nAnswer: 3700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 7:48 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*324\/216*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 179450 bigger than 179449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 56457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53.99999 + -54. Round r to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 224230.1 and -0.4?\nAnswer: -89692.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 67 = s, 4*s - 2*s + 98 = -5*n. Let h = -59 - s. Solve 3*v + 12 = -h*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**2 - 8*x - 8. What is w(-5)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/11, 375.\nAnswer: -1, -2\/11, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.375 - 30?\nAnswer: -30.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r + 4*y = 448, 0 = -4*r + 4*y + 432. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 0) + 4\/1. Let v(t) = 2*t**2 - 7*t + 5. Let y(f) = -6*f**2 + 20*f - 14. Let c(k) = -14*v(k) - 5*y(k). Is 4 a factor of c(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**3 + w**2 + 2*w - 1. Let y be f(2). What is the common denominator of ((-132)\/(-18))\/(40\/9) and (y\/2)\/(1\/3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8577, 14831, 21085, 27339, 33593, 39847?\nAnswer: 46101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**6 - 2244424*m**4 - 190*m**2 - 11622 wrt m.\nAnswer: -360*m**3 - 53866176*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/7 - (4\/14)\/(15903\/(-567) - -28)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 86321109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 + 0*u**4 - 2*u**4 + (0*u + 2*u - 4*u)*(-31 + 31 + 16*u**3) + (-u**2 + u**2 + u**3)*(3*u - 1 + 1).\nAnswer: -33*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**7\/70 + 33*h**6\/25 + 2331*h**5\/100 - 2738*h**4\/5 - 2685*h. Let d(v) = 0. Calculate v.\nAnswer: -37, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 14 = 4*p, -4*s - 3*p = -5*p - 8. Solve o - 2*g = -0*o + 10, -15 = -3*o + s*g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 2:37 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 0.2, -2, -32?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + s**2 - s + 2. Let t be y(-2). Solve 2*o = -t*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 61*j - 340. Give g(66).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 4*w + 0*w)*(3*w**4 + 3*w**4 - 5*w**4) + (-w + w + w**2)*(25*w**2 - 9*w**3 - 25*w**2).\nAnswer: -7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m*w**3 + 2*m*w**2 + 140*m*w - 87064*m + 2*w**3 - 24572*w**2 + 8*w wrt m.\nAnswer: -w**3 + 2*w**2 + 140*w - 87064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 810*i - 21954 - 12876 = 0 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 (base 7) in base 5?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 12:56 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(320) + (sqrt(320) + -2)*4 + -1*(sqrt(320) - sqrt(320)*3) + sqrt(320)) + 5)**2.\nAnswer: -384*sqrt(5) + 20489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.72 smaller than 0.67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 706 + -24946224845.\nAnswer: -24946224139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16326 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1.2. Let o = -11.2 + n. Let x = o + 7. What is the smallest value in 3\/8, x, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*s + 27 = -64*s. Find the first derivative of -4*m - 49 + 4*m - 10*m - s*m wrt m.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1060 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (26\/130)\/((39\/6)\/13). What is the nearest to 1 in 0.1071, d, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*q + 12 = 0, -7*q + 9*q + 8 = 0. Let k = -5 - -3. Is 18 a factor of (g\/k)\/(8\/232)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 39. What is the smallest common multiple of y and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 341, 1, 5, -4, 0, 2 in descending order.\nAnswer: 341, 5, 2, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -11. Suppose 2*t - 3*w + 1 = 16, 0 = p*t + 3*w - 48. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 440.6 + -345. Let z = k + -88. What is z rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 9:49 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*((-3 + 4 - 2)*(2*x - 4*x + x) + 0*x + x + 0*x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(7\/(-8) + 1). Suppose n + 4*i - g = -4, 4*n - i - 16 = 0. Solve n*z - 2*z - 4 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 50, 389, 1314, 3119, 6098, 10545?\n\"Answer: 49*g**3 - g**2 - g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7512 + -8?\nAnswer: 7503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**5\/7 - 78*i**4\/7 + 276*i**3\/7 + 426*i**2\/7 - 39*i - 348\/7 = 0.\nAnswer: -29, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 369.8 + 22.2. Let w = -343.8 + l. Let n = w - 54. What is n rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42855205 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3160 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 - -392. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 547.6924 micrograms?\nAnswer: 0.5476924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.030877706 to four dps.\nAnswer: 0.0309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1241485?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.24, 1, -416353, -5 in increasing order.\nAnswer: -416353, -5, -0.24, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1415 divided by 25797.\nAnswer: 1415\/25797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2011 * 4.\nAnswer: 8044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/12528 and -71\/324?\nAnswer: 37584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7065.356 + 7015. Let x = d + -0.044. Let a = x - -50.399789. What is a rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -1\/3, 0.4, -2\/3, -3\/74 in decreasing order.\nAnswer: 23, 0.4, -3\/74, -1\/3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 4*t + 11 - 0, -3*t = -4*o + 15. Suppose -d + o*d = 4. Let l(b) = -147*b + 1324. Let n be l(9). Is d at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 324229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 8 = 2*a, 4*a = 2*f - 1 - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 27. Let n be r(0). Let g = n - 11. Solve 6 = z - m, 6*z - 2*z + 4*m + g = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1118079 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l**2 - 2 - 2 + l**3 + l + 3 - 3*l to the form p + v*l**3 + i*l**2 + f*l and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -15, 1 in decreasing order.\nAnswer: 1, -15, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4))\/(8\/(-6064)). Is (0 - (u - 1)) + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2977\/5 at least as big as -594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2 = 6. Suppose -1 = -4*a - q, -q - v*q = a - 5. Suppose a*j - j + 31 = 3*t, j = 4. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/638837 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 3:52 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + 2 + (-2 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*h**5 - 6*h**2 - 19*h**5 + 10*h**5 + h**5 + 0*h + 0*h + (-3 + h + 3)*(-3*h**2 + 3*h**2 + h**4) + h - h - h**5 + 7*h**4 - 7*h**4 + 2*h**5.\nAnswer: h**5 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11022 (base 3) in base 9?\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -48017.6 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 23*v**2 + 26*v - 12. Let h(c) be the first derivative of 8*c**3\/3 + 9*c**2\/2 - 4*c - 471. Give -17*h(x) + 6*m(x).\nAnswer: 2*x**2 + 3*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 12:27 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/12 or 6294484?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 918 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08142 not equal to -346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)*j**(-19))\/(j*(j\/(j\/j**(2\/5)))\/j)**28 assuming j is positive.\nAnswer: j**(-161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.01362+9570614375\nAnswer: 9570614375.01362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992 is divided by 56?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 881620736 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 397.2375kg to grams.\nAnswer: 397237.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-32)*k**(7\/4)*(k*k\/k**(-2)*k\/k**(-2\/7))\/k**(1\/11) assuming k is positive.\nAnswer: k**(-7717\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + 333. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54384 - 538*m**3 + 54384.\nAnswer: -538*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (53 - (17 + -32)) + 216 + -178\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**3 - 5213847*l**2 - 10427685*l - 5213841 = 0.\nAnswer: -1737947, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-14)*(7 - 388\/56).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, i: 2, s: 1, b: 1, c: 3}. Give prob of picking 1 i and 1 r.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -11*i**2 + 244*i - 671. Calculate y(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 1 - 5)*(3*x - 3*x - 6*x**3) - 3*x**3 + 2*x**3 - 3*x**3 + 6*x - 6*x - 4*x**3.\nAnswer: -50*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 10*z + 3. Determine i(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*h = 37*h + 24. Let i(x) = x**3 - 4*x**2 + 4*x. Let a be i(3). Suppose -11 = -a*o + 31. Solve h*u - 1 - o = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**5\/20 + 25*z**4\/12 - 4*z**3\/3 - 61*z**2\/2 - 200*z. List the prime factors of o(23).\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + t = -9, -601*k + t + 3 = -603*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}