diff --git "a/data/dm_maths/full_data_1/1666_11255.jsonl" "b/data/dm_maths/full_data_1/1666_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1666_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Put together 86 and -719012.\nAnswer: -718926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9\/10 of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 0*y. Suppose y = -2*h - 3*h + 20. Suppose 3*g - h*g + 35 = 2*r, 69 = 3*r - 4*g. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*12\/(-42). Let m = 39 - 38.83. Let i = 0.07 - m. Which is the second smallest value? (a) i (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -20*g - 26. Let f(l) = -7*l - 9. Let r(m) = -m**2 + 9*m + 57. Let t be r(13). What is t*q(p) - 14*f(p)?\nAnswer: -2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 77 = -8. Suppose 5*a - 5 - 20 = 0. Let d(x) = x**2 - x + 4. Calculate the remainder when j is divided by d(a).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 306088382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j**2 - 2*j - 18. What is the remainder when 198 is divided by c(-3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3334422 and 806?\nAnswer: 3334422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 32773200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 7*b + r - 2, 3*r + 4 = -5*b. What is the greatest common divisor of b and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14421*n = -14425*n + 5*t - 55, -5*t = n + 8 + 12 - 0 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 9:12 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*l + 684 - 66 = 0. Let m(x) be the third derivative of 26*x**2 + 1\/60*x**l + 0*x**5 + 0*x + 0*x**4 + 0 + 4\/105*x**7 + 0*x**3. Factor m(r).\nAnswer: 2*r**3*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11\/3 (b) -1.7 (c) 3 (d) -0.3 (e) -4\/3 (f) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21816 divided by -10908.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f + 37*f + 76 = 0. Let b = f + -45. Let o(r) = 6*r - 3. Let c(w) = -3*w + 2. Calculate b*c(z) - 4*o(z).\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 7. Let o be a(-7). Suppose -5*s = -3*u + 62, 2*u + o*u = -4*s + 78. Let q = 36 - 26. Calculate the remainder when u is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 31430?\nAnswer: -31440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(-2 - 2 + 5)*(18 + 2*s + 8*s - 9*s) in the form y + i*s and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 s when two letters picked without replacement from cssn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2464 + 2435 + -23 + (-1 - 1)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 327868 + 3.64473.\nAnswer: 327871.64473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**2 - 6*a**2 + 17*a**2. Let m(c) be the second derivative of 1\/2*c**3 + 0*c**2 + 10*c + 0. Calculate m(i(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44\/(-2)*21\/(-14) + -3. Suppose -2*w = 5*o - 19 - 26, 0 = -5*o - 4*w + 45. Suppose -5*m + 21 = -o. What is the greatest common divisor of m and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 1. Let c(l) = 1. Let t(v) = 4*c(v) - d(v). Let w(h) = -3*h - 9. Let r(m) = -17*t(m) - 6*w(m). Let f be r(-3). Sort f, 1, 3 in descending order.\nAnswer: 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115045561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 1152205977*i**2 - 1152206010*i**2 - 5*i)*(-2 - 1 + 1) in the form s*i**2 + k + u*i and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 16*n. Let f(o) = -32*o. Let u(j) = 3*f(j) + 5*h(j). Let m be u(-2). Let c be -1 - 0 - (-36)\/m. Sort -4\/9, c, -0.2 in descending order.\nAnswer: c, -0.2, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-20)\/(-24))*5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.866 - -0.134. What is the second biggest value in -5\/4, -4, j?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*q = 35, 8*z + 2*q + 28 = 6*z. Let a be (-44)\/(z\/2 - -5). What is a rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 0.4, 0, -0.949?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 2*h - 3. Let f be n(4). Suppose 4*o - 8 + 24 = -3*g, -g = f*o + 9. What is the units digit of (g\/5)\/(6\/(-15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 121104 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 144\/60 - 4\/10. Solve a = -2*z + 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2730503719 rounded to the nearest 100000?\nAnswer: 2730500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803 is divided by 230.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -2024?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -759295*a**2. Let l(k) = -54*k**2. Give l(d(n)).\nAnswer: -31132560439350*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/5)\/d*d*d*d*d**(-2\/13)*d*d)\/(((d*d**0)\/d)\/d)**(-40))\/((d*d**(-1))**(-3\/5))**(-39) assuming d is positive.\nAnswer: d**(-2272\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 168\/(-16)*-4*76\/399*7\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -3, -63 in decreasing order.\nAnswer: 5, -3, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18014*a**3*w - 21*a**3 + 73*a**2 + 3*w + 707 wrt a.\nAnswer: -108084*w - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 55*q**3 + q**2 + q + 2. Let a be 56\/27 + 8\/(-108). Is 16 a factor of z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3 + 11 = 2*u, 5*u = 3*a + 20. Suppose -40 = -5*h + 3*t, -t + a*t = 2*h - 5. Let x(c) = -c - 5. Let i be x(-6). Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/100 - -33\/100. What is the biggest value in 2\/3, x, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1043929180 to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-9 - -10 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -16, -2\/11, 1, 6\/41, -0.3 in decreasing order.\nAnswer: 1, 6\/41, -2\/11, -0.3, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**2. Let r(k) = -33 + 15 + 5 - 13*k**2 + 13. Determine r(c(n)).\nAnswer: -637*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 442204515 and 270?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5017000 to the nearest one hundred thousand.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.86 + 5.66. Which is smaller: f or 16\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7913827995 to the power of 1\/6, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37425 + -37426. Let i = -13 + -4. Let q = i - -10. What is the third biggest value in -3, c, q, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7208 = -2262*a - 2086*a + 4212*a for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*x - 5*s, 2*s + 7 = 3*x - 3. Suppose 8 = 2*z, -x*z = -5*l - 7*z + 1317. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.05 (c) 4 (d) 5439\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/20)\/((-84)\/(-35))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 divided by 43653?\nAnswer: 700\/43653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 281.01 - 281. Let z be (57\/(-11) - -5) + 0. What is the second smallest value in 3, w, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 0 (c) 0.09 (d) 1663 (e) -4 (f) -2\/15 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -11. Suppose 0 = -5*y + 4*y + 9. Calculate the lowest common multiple of y and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iadidkndwdii. Give prob of sequence an.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 393301812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 987.21.\nAnswer: 982.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039437121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-30)\/9)\/(-2))\/(55*153\/(-520047))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - 3*y**2 - 5*y - 1. Let i(a) = a**3 - 2*a**2 - 3*a - 1. What is -5*i(t) + 3*s(t)?\nAnswer: t**3 + t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -530, -533, -548, -581, -638, -725, -848?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h. Let q(r) = -553*r. What is q(z(n))?\nAnswer: 1106*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-2)\/(-4)*22. Suppose 14*w = 11*w + s. Calculate the greatest common divisor of 32 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13860 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 8086, 0.4 in decreasing order.\nAnswer: 8086, 0.4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1395 and 5760.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i**2 + 3*i. Let p(h) = -6 - 14 - h - 4*h + 19 - 11*h**2. Give -5*b(v) - 3*p(v).\nAnswer: 3*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 12*u**2 + 3. Calculate the remainder when t(2) is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/34 + -9\/17. Let n = 0.22 + 0.08. Suppose 2*u = -z - 1, 2*z + 0 = -u - 8. Which is the closest to g? (a) -0.2 (b) n (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8103086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/66 and 7\/648.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 23 - (1 - -24)) + 19 + -12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -31*f**6\/6 + f**3 + 31. Find the third derivative of u(l) wrt l.\nAnswer: -1860*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25504 + 25507. Factor 0*n**2 + 0 + 2\/13*n**5 + 0*n - 2\/13*n**x + 0*n**4.\nAnswer: 2*n**3*(n - 1)*(n + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45738735.7 to the nearest ten thousand.\nAnswer: 45740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 5*d**2 + 3. Let n be g(5). Suppose -n*q - 5*b + 9 = -63, b = -5*q + 98. Suppose -r + q = -5*p, 14 + 3 = 5*r + p. Solve -r*x + 1 = -19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*o + 2*o + 106, 0 = -5*o + 3*n + 530. Let x = 368 - o. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 454, 5.49, 6 in ascending order.\nAnswer: 5.49, 6, 454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147971 and 4234?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -911431\/15 - -60785. Let v = -61\/3 + i. Calculate the common denominator of v and 15\/158.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -7*y**6\/5 - 10*y**4\/3 - 11*y - 30. Let p(h) be the first derivative of i(h). Find the third derivative of p(b) wrt b.\nAnswer: -1008*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -23. Let q be -3 - (-2 + 4 + o). Suppose 2*l = 5*i - 13, 2*i - 15 + q = 0. Solve -3*g = 4*k - 5, -2*k + l*k - 4*g = 40 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2\/5 - 93084*t\/5 - 1083078882\/5 = 0. Calculate t.\nAnswer: -23271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 + -5 + 5 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 12222?\nAnswer: -12231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 0)*(-23)\/253. Let s = 2 + -4. What is the nearest to -1\/6 in s, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.5, 0.4, -0.266, -2\/7, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a milligram in micrograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(44) + sqrt(11))**2*6 + (sqrt(44)*1 - sqrt(44)) + 2*sqrt(176) + 0)*6.\nAnswer: 48*sqrt(11) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -1)\/(3\/9) + (39 - -76297) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 - 4.89. Let j be 1*(-1 + 4\/5)*5. What is the nearest to j in v, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*(sqrt(6)\/sqrt(2) + 5 + (sqrt(3) - (sqrt(3) + 0))*-2) - (sqrt(24)\/sqrt(32))\/(sqrt(20)\/(sqrt(10)\/sqrt(2)))))**2.\nAnswer: 15*sqrt(3) + 651\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 - 49*i - 13. Let c be o(-18). Let l = 148 + c. What is the least common multiple of 55 and l?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azozz. What is prob of sequence oza?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12578702 to the nearest integer?\nAnswer: 3547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 7 = 4*t - 1, -5*t + 3*g - 6 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y = -28. Let j = 15 - 15. Suppose -4*c + 109 + 143 = j. Calculate the greatest common divisor of c and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 61222.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4 = 3*b - 1, 4*v + 16 = 0. Suppose -x + b = -4. Sort 3, x, 5.\nAnswer: 3, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16046149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2478843 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -133, -467, -997, -1723, -2645, -3763, -5077?\n\"Answer: -98*k**2 - 40*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 429856 and 429840 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/3 + (-33)\/22. Let w(a) be the second derivative of -1\/2*a**2 + 0 + z*a**3 - a. What is w(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 6*n + 82. Let c be d(-6). Suppose -153*p**3 - c + 5*p + 3*p**2 + 7*p**2 + 148*p**3 = 0. What is p?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06746361258 and 24.\nAnswer: 24.06746361258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -13. Let s(r) = r + m + 0 + 2 + 2. Give s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/60 - 3*c**4\/4 + 2*c**3\/3 + 23*c**2. Let l be m(18). Solve 5*n + 17 = 3*v, -l*n - 5 = 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 6:21 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -28*l**3\/19 - 55078*l**2\/19 + 106306*l\/19 - 39380\/19 = 0?\nAnswer: -1969, 1\/2, 10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-3 - (-8 - -26)) - -11\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -890*p - 424*p - 13140 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 - -46.8. Let g = 35.8 + n. Which is the second smallest value? (a) 0.1 (b) g (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 32. Solve -f*q = -q - 40 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.0131168 and 29?\nAnswer: -87.3803872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1438\/3 bigger than -478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -10*h**3 + 20*h**2 + 74*h - 245. Is q(-43) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + y**3 + 1 + 3*y**2 - 2*y**3 - 2*y + 0. Let o be (-2)\/(((-12)\/(-166))\/3). Let t = o + 86. Determine n(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 7 + 7)*(0 + y + 0)*(y**3 - y**3 + 2*y**3).\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 17\/408 - (-285)\/72\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43828 and 175312.\nAnswer: 175312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1328*l - 416875. Calculate m(-314).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0671 times -4?\nAnswer: 0.2684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/(15\/((-45)\/12)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24524, -49039, -73528, -97979, -122380?\nAnswer: -146719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1231 (base 4) to base 13.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/125 and 149\/150.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-27 - -7) + 11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/m**(-4))\/m)*m**(-3)*m*m*m**(2\/5)*m*m*m**4\/m*m)\/(m*(m*m**1)\/m*m*(m*m**(-2\/15))\/m)**(-1\/36) assuming m is positive.\nAnswer: m**(1339\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 967\/3 - 325. Let h = -2 - m. Factor 1\/3*s + 1\/3*s**3 - h*s**2 + 0.\nAnswer: s*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + -3*sqrt(204))\/sqrt(12) + -1 + (2*sqrt(119))\/sqrt(7) + (sqrt(17) - (sqrt(1700) + 0)**2).\nAnswer: -1701 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/21 and 115\/11664078?\nAnswer: 81648546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1*(65 - 3))\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 6*o - 5. Let k be s(7). Find the second derivative of -y**2 - 2*y + 0 + 0 + 0*y**k wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d + 4. Let j be f(-4). Let z be 0 - 2\/(j\/12). Suppose v + 0 = -5*l + z, 2*v = 5*l + 6. Which is greater: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 122 + -118. Let z(u) = -6*u + 45. Let x be z(h). Suppose 24 = -23*f + x*f. Which is smaller: -9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 17 = 5*y - 5*s, -26 = 3*y - 4*s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7+-18842090\nAnswer: -18842083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-488)\/427*35\/(-30).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15451993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 18 + 24. Solve -f = -3*z + 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 10. Let c be t(6). Let f = c + 1. Put f, 4, -2 in descending order.\nAnswer: 4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -50*(0 - (-2)\/(-4)). Suppose -2*p + 315 + v = 0. Let q = p + -1532\/9. Is -1 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11990 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/3682 and -137\/629622.\nAnswer: 629622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 - 25912*z**2 - 503781040*z - 24161593600\/3.\nAnswer: -(z + 16)*(z + 38860)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1983 (base 16) in base 3?\nAnswer: -22221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 6 in ascending order.\nAnswer: -3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150*m**3 + 88*m + 2*m**2 - 44*m - 4*m**2 - 44*m + m**4 to the form i*m**2 + w*m + u*m**3 + x*m**4 + b and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.68254 + 5.68254. Let t = 6.4 - 7. What is the nearest to -0.7 in t, l, 3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1513757852 to the power of 1\/3, to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.99*268.\nAnswer: -3213.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = q - 4*x + 5, -4*q + 4*x = -140. Let w be (-14)\/(-1) - (-1)\/(-1). Calculate the highest common divisor of w and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.167 (b) -22.6 (c) -13 (d) -3 (e) -2\/43 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 306\/(-48))\/(4\/96)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*i = -824 - 831, 5*i + 1705 = 2*c. Is 42 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 10*v**2 + 0*v - 19*v**2.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4 + 7*h**2 - 17*h - h**3 - 20 + 28*h + 0. Let t be m(8). Let i(c) = c**2 + c + 9. Determine i(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 3 (c) -0.2 (d) -5 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ioiihhchphhiiphii. What is prob of sequence oppi?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 19*c + 902. What is the remainder when 145 is divided by b(-44)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36328 or -36272?\nAnswer: -36272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-26*((-1)\/(-4))\/((-8)\/16)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7 (b) 17\/2 (c) -2 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2400 and 1.\nAnswer: -2400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 8:20 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1271 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -9*v**4 + v**3 + 3*v**2\/2 + 65*v. What is the second derivative of s(m) wrt m?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 6:25 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 753 and 6651.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1093 - -1100. Let z(k) = k**3 - 5*k**2 - 10*k. Determine z(u).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -321, -311, -285, -237?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 5:57 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 6. Let j = v - -3. Let i(m) = 4*m**3 - m**2 + m + 2. Let w(t) = -2*t**3 - 1. Let q(o) = -2*i(o) - 5*w(o). Determine q(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*t + 15*t + t + 25*t + 18*t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3416*a**3 - a**2 + 145*a - 10805730 wrt a.\nAnswer: 10248*a**2 - 2*a + 145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11909\/12 + 990. Let p = -2\/2957 - 56095\/130108. What is the common denominator of c and p?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-6))\/(9\/(-6)). Let a be (1 + -15)*z*10\/(-20). Solve -2*x - 1 = -a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 1 + 2)*-1. Suppose 2 = -0*a + 2*a. Solve r = 4 - a, 2*w - r + 13 = n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (4\/12)\/(96\/12960)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**5\/20 - s**4\/12 + s**3\/3 + s**2 - 4*s. Let f be c(-2). Factor 2*y + 1\/2*y**2 + f.\nAnswer: (y + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6932587 is divided by 216.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17087 is divided by 1852.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/14)\/((-85)\/119)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqq when three letters picked without replacement from {e: 2, q: 9}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-3)\/(-9)) + 4. Solve 7 = -2*u - c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -1284\nAnswer: -5136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010120 (base 7) in base 13?\nAnswer: 1499bb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*f = -f, 0 = 5*r - f - 30. Suppose r*k - 4*k - 3 = 0. Solve -10 = z - k*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, -84, -235?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/2 + 6106766*c**2 - 18646283275840*c - 74585230811648 = 0. What is c?\nAnswer: -4, 6106768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 46*r**2 + 11*r + 32. Let h be d(11). Let v = -2570 + h. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2797*q + 400 = 2877*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6870 and 1551246.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -7. Let l = -11 - w. Let i = 4 + -26\/7. Put i, l, 2\/13 in increasing order.\nAnswer: l, 2\/13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 p, and 1 w when four letters picked without replacement from {p: 6, m: 7, f: 3, w: 1}.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y - 13. Let s(o) = -o + 1. Let r(w) = -k(w) - 2*s(w). Is r(10) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2002)\/(-455) + 2 + 14\/(-10). Solve -11*l + 15*l + 37 = 3*z, 5*l = -x*z + 15 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42408*0.16\nAnswer: -6785.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27556, -55112, -82668?\nAnswer: -110224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**4 - 2628*k**3 + 83646*k**2 - 159420*k + 78399 = 0.\nAnswer: 1, 31, 843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - k**2 - k + 87. Is i(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -13*b - 184. Let m be r(-17). Suppose 0 = -8*d - m + 69. Solve d*x + 2 = 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from ececceeecccccceeece.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 + 9*l**2 + 4*l + 5. Let v(s) = s**3 + 5*s**2 + 2*s + 3. Determine -3*t(k) + 5*v(k).\nAnswer: -k**3 - 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -0.3, -1, 1496, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8096, 32091, 72130, 128207, 200316?\n\"Answer: -o**3 + 8028*o**2 - 82*o + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -97557.\nAnswer: -22\/97557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -32*(-27)\/24*2. Suppose 0*k - 4*k + l = 0. Let z = 4 + k. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/3246 and 65\/19874.\nAnswer: 32255502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -213 + 214. What is the nearest to 1\/4 in -3\/2, x, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(0 + 3\/(-6)). Suppose -5*k - 34 = -3*n, -3*k = -u*n - 2*n + 22. Calculate the highest common factor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 3*i + 2*i + 0*i + i + 0*i + (4 + 3 - 5)*(0*i + 4*i - 5*i) - 8*i + 12*i + i + (-2 + 4 + 0)*(i - 3*i + 0*i) + 6*i - i - 2*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107 - -559\/5. Calculate the common denominator of l and 29\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 + 2 = -d, 5*d - 6 = 4*t. Let v(s) be the first derivative of 3 + 1\/2*s**d - 4*s. Find the first derivative of v(z) wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*-4*(sqrt(847) + sqrt(847) + sqrt(847)*-1) - (((sqrt(84)*2 + sqrt(84))*-3)\/sqrt(12) + 2))*-6.\nAnswer: 10 + 474*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 + 16*z + 10. Let i be s(8). Let l be (-4)\/(-14) + (-231)\/(-49). What is the highest common divisor of l and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-9)*((-438)\/(-1460))\/((-148)\/(-10))?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/6)\/(1 + 30\/(-36)). Let x be i - (-1)\/(((-5)\/(-2))\/5). What is the greatest common divisor of 20 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p**3 + p**3 + 0*p**3)*(p + 0*p + 0*p) + 2*p**4 - p**4 + p**4 - 4*p**4 - 2*p**4 + 4*p**4)*(-13 - 3 + 2).\nAnswer: -28*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078 is divided by 530?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, m: 6}. Give prob of picking 3 m.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 9535 = -1965. What is b rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3))**26\/(k\/(k**(1\/3)\/k))**30*(k**4*k\/(k*k*k**5))\/((k*k*k**(-4)*k)\/(k*k**(2\/5)\/k)) assuming k is positive.\nAnswer: k**(-889\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*z + 224, 3*u - 2 = -11. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 749040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 70*i + 16. Let f(d) = -14*d - 3. Calculate -16*f(b) - 3*w(b).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 11*r + 100. Let u be w(13). Which is greater: 73 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**5 - 15*z**3 + 10*z**2 + 60*z + 48. Factor v(l).\nAnswer: 5*(l - 2)**2*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/17))\/s**(-1\/4) assuming s is positive.\nAnswer: s**(93\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) 5.2 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/21029 - 2292221\/420580. Calculate the common denominator of o and (2\/(-10))\/(4\/(-7)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8) + -5*203\/1160.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2951.55748 rounded to the nearest 10?\nAnswer: -2950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 46551*m**2 + 526*m. Let f(c) = -266*c**2 - 3*c. Determine 526*f(b) + 3*t(b).\nAnswer: -263*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - (-93 + (1 - -2)\/(-3)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 9. Let q be l(7). What is the tens digit of 220\/12 - q\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -3*y**2\/2 - 30*y - 31. What is the remainder when 1*(-94)\/4*-2 is divided by h(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3091 - -0.1?\nAnswer: -3090.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5641130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -5\/9 (c) -4 (d) -1256\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*u**2 + 101*u**2 - 400*u**2 + 104*u**2 + 121*u**2.\nAnswer: 31*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/3 + 35832*f - 11872960\/3.\nAnswer: 4*(f - 110)*(f + 26984)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*l - 100*l**5 + 1 + 27*l**5 + 0 - 2*l wrt l?\nAnswer: -1460*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1601314 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -3, -5, -0.09, -2\/11, -2\/51?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 - 78. Let k = -20 - g. Sort -3, k, -9.\nAnswer: -9, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4\/7 + 668856*m**3\/7 - 10700871*m**2\/7 - 12707454*m\/7 + 3248496 = 0. What is m?\nAnswer: -2, 1, 17, 222936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 12716646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -825.1368 + 825. What is v rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6136777 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/30 + (-58)\/6. What is the units digit of ((-393)\/9)\/(3\/u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 - 447 - 904 + 3*p**3 + 872 to the form d*p + w + n*p**3 + l*p**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568*y + 411*y = 4895 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6135384, -3, 32\/9 in increasing order.\nAnswer: -3, 32\/9, 6135384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b + b**2 + 2*b + 2*b**2 + 4*b**2 as u + c*b**2 + n*b and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3049691902*l**4 - 3065589514*l**3 + 15925236*l**2 - 27640*l + 16.\nAnswer: 2*(l - 1)*(1151*l - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.5 (b) 0 (c) 2\/11 (d) 196\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9*p - 18. What is the tens digit of h(36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5002 and 770012882.\nAnswer: 5002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*c + 33 + 8, -2*c - 1 = y. Let q(u) = -u + 10. Let z be q(y). Suppose -z = -2*o + 5. What is the remainder when o is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 10:06 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millimeter in micrometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-68)\/170)\/(4 + -3). Sort -0.1, 1\/6, 0.7, r in decreasing order.\nAnswer: 0.7, 1\/6, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okv when three letters picked without replacement from {v: 2, o: 2, c: 1, k: 6}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -231*u - 5444*u - 5483*u in the form x*u + o and give x.\nAnswer: -11158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 + 5*x. Suppose 4*u = -4*p + 12, 3*p = 3*u - 15 - 0. Let v(b) = b - 2. Let f be v(u). Let l(q) = -q**3 + 2*q. Calculate f*t(g) - 5*l(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/46))**(3\/10)*b**25\/b**(-32) assuming b is positive.\nAnswer: b**(26223\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-825)\/25)\/33.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.5718607 micrometers?\nAnswer: 571.8607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -0.13 (c) 155 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000531 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 14.87. Let n = -4.13 + g. Let s = n + 0. What is the smallest value in s, -1, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 5, 334 in ascending order.\nAnswer: 5, 54, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -240 - -244 - ((0 - 0) + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3966*c - 237*c + 4634*c + 1282*c + 7551*c in the form r + s*c and give s.\nAnswer: 17196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/50094456 and -47\/50094456.\nAnswer: 50094456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27 and -266.\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 131 and 2.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1453862*q**3 + 7*q**2 - 25538*q + 192 wrt q.\nAnswer: -8723172*q + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {w: 3, l: 2, v: 5, o: 4, i: 5}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -596 divided by 298?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 414.00000211 + -414. What is r rounded to seven dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3868 = 6*m. Suppose 52*w - w = -34425. Let o = w - m. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**3\/3 + 22*q - 3. Let v be s(0). What is the highest common divisor of 55 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19673, -19675, -19677, -19679?\nAnswer: -19681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.282 + 0.051.\nAnswer: 0.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 1\/4, 6.\nAnswer: -0.05, 1\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 268 and 8576?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(567))*-2 + 2 + sqrt(112)\/sqrt(4).\nAnswer: -16*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**2 + 13*w + 7. Let s = 54 - 50. Let m(b) = -5*b**2 + 25*b + 14. Let k(j) = s*m(j) - 7*r(j). Suppose o + 35 = -4*o. Determine k(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 21*q - 840. Calculate g(-26).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7721, 6887, 6053, 5219, 4385?\n\"Answer: -834*x + 8555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 58*i - 106*i + 46*i. Let b(t) = -24*t**2. Determine b(w(k)).\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0\/w)\/w*w*w**(-3)*w*w)**(-36) assuming w is positive.\nAnswer: w**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.1 + 8.1. Let x = -2.9 - m. What is the third smallest value in 2\/7, x, -0.04?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5460182978 a multiple of 431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4270921 to the power of 1\/2, to the nearest integer?\nAnswer: 2067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0 = 3*m + 11, -4*m = -g + 13. Let d be -3 + (95\/g)\/1. Suppose 21*u - d*u - 3115 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190 divided by 98.\nAnswer: -95\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 882 + -841. Suppose o*m + 48 = 42*m. Calculate the greatest common divisor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4741 = h + 4705. Suppose 98 = 2*n - w, 0 = 3*w + 6 - 0. Calculate the greatest common divisor of h and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 691*b**2*o*r + 3*b**2*r**2 - 92*b*o*r**2 - 2*b*o*r + 2*o*r**2 - 3*o wrt b?\nAnswer: 1382*o*r + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**3 + 2*y + 1. Let i be v(-1). Suppose 0 = -i*j + 3*z + 15, -4*j - 5 + 21 = -2*z. Put 2, 0, j in descending order.\nAnswer: j, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689 is divided by 148.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/44)\/(-2))\/((-48)\/(-32))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -88, -1\/4?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -10. Suppose 2*s = -6, 5*v - 3501 = w*s - s. Suppose -11*q + 5308 = v. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95 + 13*t**2 - 2*t + 4*t**2 - 16*t**2 + 2*t to the form a*t**2 + f + d*t and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172041?\nAnswer: 3, 57347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o - 46 = 4. Put 5, o, -34, 3 in increasing order.\nAnswer: -34, o, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3288083 is divided by 293.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15629098 divided by -4?\nAnswer: -7814549\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10640 + 10659. Solve 10*q = w*q + 45 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001365375 to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 1:45 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -301545 (base 6) to base 3\nAnswer: -1012120202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -719, -1650, -2577, -3500, -4419?\n\"Answer: 2*j**2 - 937*j + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127035228.1 rounded to the nearest 1000000?\nAnswer: 127000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -96 (b) -262 (c) 4 (d) -1 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - 6)*(-7)\/14. Let v(w) = 5*w**2 + 6*w. Let n(q) = 5*q**2 + 7*q. Calculate f*n(p) - 6*v(p).\nAnswer: -5*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**4\/4 - 4*g**3 + 3*g**2\/2 - 7*g + 4. List the prime factors of v(12).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 2*a = -16, 1383*o = 1381*o - 5*a + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 152685 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6023, -6307, -6601, -6905?\nAnswer: -7219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 5, 13, 0 in descending order.\nAnswer: 13, 5, 0, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eieebwiegewwwweewgey. What is prob of picking 1 g and 1 i?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3475560 and 74376984?\nAnswer: 371884920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-28)*(-315)\/40.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*o - 94*o - 33 = 26 + 65 for o.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.08, 0, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3162599 to the nearest ten thousand.\nAnswer: -3160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2*x + 3*x + x + x + 0*x + (0 + 1 - 3)*(0 - 2*x + 0))*(-3*x + 5*x - x).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 560 + -543. Suppose -2*o - 332 = -6*o. What is the remainder when o is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*((-30)\/24)\/(3\/(-4)). What is a in 7\/3*a**4 + 3*a**3 + h*a**2 + 1\/3*a + 2\/3*a**5 + 0 = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-133*f**3 - 7*f**2 + 126*f**3 - 4*f**2)*(-f**2 + 0*f + 0*f).\nAnswer: 7*f**5 + 11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -214.12793462.\nAnswer: -214.02793462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -16. Suppose -52 = -q*u - n + 2*n, -5*u + 74 = n. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 48120 and 22?\nAnswer: 48098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-1))\/((-70)\/5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*l = 3*k + 163*l - 9834, 13094 = 4*k + 2*l. What is the greatest common factor of 25 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 6*b**2 + 8*b - 4. Let r be h(-6). Let a = -19 - r. Let c = -16 + a. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -4)*(-4 - -11). Suppose 0 = -5*l + 22 - 7. Suppose m - l*m = -d. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i - 240 = -312 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4829 = -243*q - 1246 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 46*u - 280. Let d be m(7). Calculate the highest common divisor of 140 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*g + 99 + 41*g + 85.\nAnswer: -5*g + 184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75077\/1020 + 1217\/17. Let k = 2388079\/42 - 56856. Calculate the common denominator of p and k.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 616 divided by -28\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4647778 centuries to years.\nAnswer: 46.47778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 2*r**3 + 7 - r**3 - 3.\nAnswer: r**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + j)*(-14 + 2*j**2 + 14 - 21*j**4).\nAnswer: -21*j**5 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x - 25. Give w(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2 - 36*f - 2. Let a be g(12). What are the prime factors of a\/20 - (-30126)\/60?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222244019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -35d0 (base 14) to base 5\nAnswer: -300034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, m: 5}. Give prob of sequence mm.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2014, 4047, 6076, 8101, 10122, 12139?\nAnswer: 14152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4 + 15\/6. Put 4, v, -5 in decreasing order.\nAnswer: 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1212 + 757. Is b equal to -453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/30 - 30\/(-12). Solve 0 = -4*a - 5*m - 13, 6*a = a - g*m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -51, -53, -49, -33, 1, 59, 147, 271?\n\"Answer: a**3 - 3*a**2 - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 6:03 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -c + 1, 11*c - 7*c + 13 = -5*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 275, 507, 705, 851, 927?\n\"Answer: -3*v**3 + v**2 + 250*v + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/18 and -71\/6022.\nAnswer: 54198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -743 = -745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/6 - 105215*b\/3 + 11070196225\/6.\nAnswer: (b - 105215)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 390 and 79283685?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**2 - 1. Let c be h(-1). Suppose -7*j + 44 = -c*j. What is the greatest common divisor of j and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 10424*z**2. Let l(y) be the second derivative of -y**3\/3 + 1468*y. Calculate v(l(n)).\nAnswer: 41696*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 414*r - 48*r - 45*r + 9951 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 + 2*m**3 - 278977*m**2 + 278977*m**2.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11638 by 1058.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243159?\nAnswer: 17, 73127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 188088*t - 564228.\nAnswer: -4*(t + 3)*(t + 47019)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/12*(10 + -2). Let c = 4 + u. Let q be ((-4)\/3 - c)*3. Are 2\/3 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 155635.27 + 23664.2?\nAnswer: 179299.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*2\/(-4)*((-476)\/51)\/(-28).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100908 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 176 + -107. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*y + 212*y + 6*y.\nAnswer: 113*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3474 - 1088. Let a = t + -11887\/5. What is the common denominator of (10\/(-45))\/(20\/1635) and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1106 - -1726. Suppose -5*u = 2*q - 298, -4*q - u + n = -3*u. Let h = q + -67. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Suppose 0 = -4*w + 2*i - 14, 0 = -w + 5*w + 4*i + 44. Let u(z) = -2*z**2 - 8*z. Determine w*j(r) + u(r).\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1535541 - 5?\nAnswer: 1535532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 12:43 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21989 + 52668. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66834360 and 720.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-2\/5)*l**(1\/19) assuming l is positive.\nAnswer: l**(138\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27386 - -42586. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f. Let z(c) = -6*c**3 - 79*c**2 - 11*c + 28. Let p be z(-13). Let n(s) be the first derivative of -1\/3*s**3 - 11 + 0*s + 0*s**p. Give n(g(a)).\nAnswer: -81*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11\/52 - -6\/13. Let s be (15\/40)\/((9\/(-1))\/(-3)). Which is the biggest value? (a) 2\/9 (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d + 3*b + 6 = 0, -2 = -4*d + b. Suppose 2*k = -k - 5*c + 3478, d = 4*c - 20. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603316 (base 7) to base 15.\nAnswer: 20371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220750 and 1250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*a - 3217, 3*v = -a + 6*a + 3182. Suppose w + 2*n - 341 = 0, 5*w + n - 654 - v = 0. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + 20383*f**3 - 20431*f**3 + f**4 + 0*f to the form u*f**3 + p*f**4 + q*f**2 + o*f + t and give u.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 21 = 6. Sort w, -1.4, -1\/5.\nAnswer: -1.4, -1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12449 (base 10) to base 9.\nAnswer: 18062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 395201205 divided by -3?\nAnswer: -131733735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 6)*(4*o**3 - 211*o**2 + o**4 - 193*o**2 + 428*o**2) in the form u + s*o**2 + y*o**4 + n*o + v*o**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-10) + (-51)\/(-10). Suppose o*g - 718 = 3*q, -3*q = 1 + 2. List the prime factors of g.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-1)\/sqrt(6) + (sqrt(17) - 2*sqrt(833)))**2 + (1*(sqrt(272) + -5))**2.\nAnswer: -40*sqrt(17) + 3629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of r**3*w**2 + 329*r**3 + 5*r**2*w**2 - 3*w wrt w?\nAnswer: 2*r**3*w + 10*r**2*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 695 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*y + 1. Suppose -y*n + 7 = -8. Solve -8 = 4*k, -h = -3*h + n*k - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3946837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y. Let a(t) be the third derivative of -191*t**4\/24 - t**2 + 1396. Calculate w(a(s)).\nAnswer: -382*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 804 = 5*k - 10*m, -m = -2*k + 324. Calculate the highest common factor of k and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -5*y**7\/28 - 13*y**6\/10 - 81*y**5\/20 - 7*y**4 - 29*y**3\/4 - 9*y**2\/2 - 1016*y. Factor v(s).\nAnswer: -3*(s + 1)**4*(5*s + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 121, 241, 361?\n\"Answer: 120*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + ((2*sqrt(2176)*2)\/(sqrt(8)\/(-1*sqrt(324))))**2).\nAnswer: 5640204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2020 by -4.\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1099 + -72777?\nAnswer: -73865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -1. Let a be 52\/16 - d\/(-4). Suppose -2*x + a*x = -4. Is x at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 300?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4215.7*0.4\nAnswer: -1686.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34424782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -736, -733, -728, -721?\n\"Answer: w**2 - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**3 - x**3 - 3*x**2 - 3*x - x**2 + 7*x**3 + 1 to the form j*x**3 + u*x + s + f*x**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-2)\/(((-440)\/(-5))\/(-4)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 114847615 and 18900.5.\nAnswer: 114866515.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -2\/9 (c) 6.8 (d) -1 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 330 and 507639?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 15 = 3*v, -4*v - 15 = -5*w - 35 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 5. Which is the fourth smallest value? (a) -1\/4 (b) 0 (c) i (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -65*f - 2. Let v(z) = 226*z. Calculate c(v(o)).\nAnswer: -14690*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 10. Suppose -n*f + 35 + 9 = 0. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v + 10. Let a(m) = -1. Give 24*a(q) + 3*z(q).\nAnswer: -6*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwxuwqquobqwuu. What is prob of sequence ux?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (6 + -4)\/((-8)\/24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {b: 6, o: 1, i: 2, c: 4}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 2*s + 14 + 4*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17044.\nAnswer: 2, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2108, -4228, -6350, -8474, -10600, -12728?\n\"Answer: -n**2 - 2117*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/15 - 40\/(-48)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = -3*h. Suppose h*q = -q. Suppose q = 4*c + c - 110. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 21*v + 15. Let n be i(13). What is the greatest common divisor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - 6*l**3 - 16*l**3 + (0*l**2 - 4*l**2 + 2*l**2)*(-l + 3*l + l) to the form m*l**2 + x*l**3 + w + s*l and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -13*n. Let s(x) = -421*x. Calculate s(f(z)).\nAnswer: 5473*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/2)\/5 - 4*(-8)\/(-320).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2756.79127*0.5\nAnswer: 1378.395635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 350703 - 350707. Let u(o) = 7*o**2 + 2. Let i(g) = -8*g**2 - g - 3. Let y(c) = 6*i(c) + 7*u(c). Calculate y(s).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 311416084 to the power of 1\/3, to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 + 91. Solve 5 = -2*q + s, s - z = 4*q + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - -5. Let y = 10 - f. Which is greater: -2\/13 or y?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 8*l + 24. What is s(11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 568, 993, 1414, 1831, 2244?\nAnswer: 2653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + g + 8*g - 4*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**2\/2 + 5*w - 4. Suppose 0 = 2*a + a + 18. What is the units digit of u(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34151562?\nAnswer: 2, 3, 251, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/2774 and -29\/1095.\nAnswer: 41610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h. Let a(d) = -6 + 0 - 11*d + 5 - 10*d + 5. What is a(y(w))?\nAnswer: -42*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -8*z - 5. Let q = 28 - 22. Let d(b) = -b**2 - 16*b - 2. Let w be d(-15). Let h(i) = 17*i + 11. What is q*h(v) + w*n(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37023 minus 91.1607?\nAnswer: -90.79047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1028, -4.\nAnswer: -1028, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -7*r - 2106. Let p = -282 - r. Let g = 3 - 0. Solve 0 = p*n + g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.50917 rounded to two decimal places?\nAnswer: -6.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 31*w**2 + 54*w + 26. Give u(29).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 8696078.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*i**3 - 45*i**3 + 95*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n - 2. Let v be k(3). Let q be (2 - 1)*4\/v. Solve 3 = j + q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 15543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**2 - j + j)*(-48*j + 51*j - 63*j**2 - 16*j**2) in the form k*j**4 + r*j**2 + c + a*j**3 + f*j and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68353 (base 9) to base 13.\nAnswer: -17922","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -37. Solve -1 = -2*q - 11, 4*q = -2*n - j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101000 (base 3) in base 11?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.213214m?\nAnswer: 6213214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 2*a**2 + 0*a**2)*(281 - a - 551 - 4*a**3 + 272).\nAnswer: 4*a**5 + a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdz when three letters picked without replacement from kzzkdkkjk.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1478 is divided by 300?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 205207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 2, 4, 19, -3 in decreasing order.\nAnswer: 19, 4, 2, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -160, -2, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 10 + 21 + -17?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6353 is divided by 199.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6. Let o(w) = -655*w - 18. Calculate -3*g(z) - o(z).\nAnswer: 655*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 488166 and 76?\nAnswer: 18550308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 47.62079ug?\nAnswer: 0.00004762079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-20)\/(-50) + (-344)\/(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 742 - 57875\/78. Is g at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 556*a**3 - 4*a**2 - 2224*a.\nAnswer: a*(a - 2)*(a + 2)*(a + 556)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -66 (b) 2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 + (-31374)\/243 + (2 - 21\/9 - -1)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42408918 and 414?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 93087004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5486*d**2 - 14154*d + 5487*d**2 + 15762*d.\nAnswer: d**2 + 1608*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 217796, 217808, 217820, 217832, 217844?\n\"Answer: 12*t + 217784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 9 - 3. What are the prime factors of 7\/(7\/(-2)) + v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 284048864 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3112\/1167)\/((-364)\/(-63)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246 divided by -6.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 821744300963 and 0?\nAnswer: 821744300963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -19*f. Give b(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.42 - 1.02. Sort -0.1, -1\/4, f, 4 in decreasing order.\nAnswer: 4, f, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -0.24260418737492\nAnswer: -13.75739581262508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.032, -2\/3?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6*t\/(t**(-5)*t)*t)\/(t**(8\/3)\/t)**(2\/117) assuming t is positive.\nAnswer: t**(4202\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10, 23, 56, 89, 122, 155?\n\"Answer: 33*i - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 266 - 266. Let i be 3 - (1 + -1 + 0). Solve -4*w = i*x + 16 - 4, v = 4*x - 5*w + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/18 and 41\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1395180 and 450.\nAnswer: 6975900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-20)*(-2)\/12*2.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-1)*1)\/1. Let o be 35\/(-7)*(0 + h). Solve 5*d + 10 = o*p - 0*d, -4*p = 3*d - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let t(j) = -j. Let q(u) = -c(u) + 2*t(u). Let k(d) = -39*d**2. Determine k(q(o)).\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -841708 divided by -4.\nAnswer: 210427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7688950 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5625523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*o - 9. Let a(z) = 4*z**3 + z**2. Let s be a(-1). Put 5, o, s in increasing order.\nAnswer: s, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*f - 2942 - 1282. Suppose -15 = -f*s + 129*s. Solve -s*c - 25 = 3*y, y + 2*y = -c - 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, f: 1, u: 4, p: 3, d: 1}. Give prob of sequence ppuf.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, h: 1, x: 1, b: 1}. Give prob of sequence ha.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -4)*(-5)\/15. Factor 0*y + d*y**3 - 16\/3*y**2 + 2\/3*y**4 + 32\/3.\nAnswer: 2*(y - 2)**2*(y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1518 and 1839816?\nAnswer: 1839816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194067 is divided by 63557?\nAnswer: 3396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + 115. Let b(w) = -86*w - w**3 + 1 - 3*w**2 + s*w - 78*w. Calculate b(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 288 + -294. Is -5 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134136 is divided by 648?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/3 (b) -2\/9 (c) 3\/4 (d) -554\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*t = -24 + 6, 2*j + 2*t = 12. Let k = 1311\/4 + -346. What is the common denominator of (1\/j)\/(3 - (-788)\/(-276)) and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1288588.\nAnswer: 2, 7, 46021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (1*sqrt(25))\/sqrt(5) - (-2 + -2 + sqrt(5)))*2.\nAnswer: -2*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278, 555, 832, 1109, 1386, 1663?\nAnswer: 1940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -112 - -114. Suppose -n*l + 186 - 33 = -5*q, 83 = -3*q - l. Is -27 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 62*k - 54. Let h be v(27). Suppose h = 11*o + o. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8374 and 474?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -10*n - 40. Determine c(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (8 + -2) - (1 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1281, -3 in increasing order.\nAnswer: -1281, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 6, a: 4}. Give prob of picking 2 a.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x. Let o be (-25)\/(-15)*3 + -5. Let h(p) be the first derivative of o*p**2 - 3 + 1\/3*p**3 + 0*p. What is j(h(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, s: 9}. Give prob of sequence slll.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m**3 + 3*m**3 - 11*m**2 - 14*m**3 + 11*m + 5*m**3. What is r(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 13*b**2 + 8*b - 8. Suppose 2*d - d - 4 = 0. Let s be t(d). Suppose 4*j + 4*h = 3*j + s, 2*h + 6 = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*q + 47, 5*n + 2*q = 26 + 17. Find the first derivative of -y + y + n - 9*y + 3*y wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*p - 4*m + 225, -2*p + 150 = 2*m. Suppose -p + 19 = -4*n + 2*x, 5*n - 70 = -x. Solve -2*k + 6 = n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 17612 = -o. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, p: 17}. What is prob of picking 2 p?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -465c + -d2?\nAnswer: -473e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65431331*s = -65431154*s + 14160 for s.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (648\/5103)\/(1*-4).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2. Let d(k) = 820*k**2. Determine d(p(r)).\nAnswer: 3280*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1058 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*u + 1018 - 280 = 0 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3\/9 + 98*j**2\/3 + 580*j\/9 = 0 for j.\nAnswer: -145, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -2\/7 (c) -5\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 9:34 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7)**21 assuming f is positive.\nAnswer: f**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 - 115. Let p = r + 63.082. Let a = -6.182 + p. What is a rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 396, 404, 412?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18920 by 440.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**6\/180 - 5*c**5\/12 - 34*c**4\/3 - 2023*c**3\/18 + 4913*c**2\/12 - 11*c - 1. Factor h(w).\nAnswer: -(w - 1)*(w + 17)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -55, -3, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5049\/5 (b) -153.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4 - 1058000*s**3 + 139969159536*s**2 - 12870447272000*s + 295968805466912 = 0 for s.\nAnswer: 46, 264454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - 2*y - 497*y**3 + 499*y**3 - 2*y to f + h*y**3 + d*y + v*y**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u - 1. Let y be h(3). Suppose -2*s = -6*s + y. Suppose 16 = 2*v + s*v. Solve 0 = v*p + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -13. Let u be (3\/w)\/((-2)\/12). Let o(x) be the second derivative of x**5\/10 + x**4\/3 + 2*x**3\/3 + x**2 + 3*x. Determine o(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112885 - -3.39?\nAnswer: -112881.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (10890\/(-24))\/(-11). Let d be (-2)\/28*3237\/6. Let q = d - c. What is the smallest value in 0.4, q, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (sqrt(19) + (sqrt(19) + sqrt(76))*-2)**2) - (6*sqrt(1900)*1)**2*2.\nAnswer: -135372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/61 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + -75 + 75 - -28?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12868*v - 294 + 13162 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7162?\nAnswer: 2, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -5696 < -0.038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 969224.7 tonnes?\nAnswer: 969224700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 881, 879, 877, 875?\nAnswer: 873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-32)\/64*42?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3156390 a multiple of 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 11:57 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 4, 71.\nAnswer: 4, 25, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*10\/(-13420)*(-160)\/20.\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 7:20 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 2*k + 1 + 11*k**3 - 5*k.\nAnswer: 11*k**3 - 8*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + 16. Let v = k + 31.815. What is v rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 4*s = 4*n - 13, -11 = -2*s - 5*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6632665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-12))\/(39\/(-4004)*-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-162)\/567 + 1 + (-2)\/(-7). Solve t = g - 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.77105 milliseconds to nanoseconds.\nAnswer: 4771050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**6\/120 - 155*h**5\/84 + 137*h**4\/42 + 110*h**3\/21 + 2*h**2 - 2793*h. Factor t(z).\nAnswer: (z - 110)*(z - 1)*(7*z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 16*k**2 - 16*k - 12. Determine s(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 745e (base 15) in base 5?\nAnswer: 1241424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/416 and 8\/247.\nAnswer: 7904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 982689.9 hours?\nAnswer: 3537683640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4496281 and 0.05.\nAnswer: 224814.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 49*b**2 + 8*b + 3. Let u be j(-1). Let f = -1119 + 1251. Calculate the greatest common divisor of f and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 1\/2*q**3 + 0 - 1\/20*q**5 + 17*q + 1\/3*q**4 + 3\/2*q**2. Determine a(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 122 - 222 = -5*f - 139. Determine r, given that -4\/7 + 8\/21*r**2 - 2\/21*r**f - 2\/21*r = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/6*(-31)\/(-4))\/(7299\/4866)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, w: 3, c: 2, y: 7, g: 2, d: 1}. Give prob of sequence ydl.\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1113)\/(-318)*(-3)\/77\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000279335678 to seven dps.\nAnswer: 0.0000279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -805\/16, -1 in ascending order.\nAnswer: -805\/16, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 5:37 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 times 2.8?\nAnswer: 851.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 10 + -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d + 17. Let u be l(5). Let s = -14\/25 + 148\/175. Solve 8\/7*i**3 - s + u*i**2 + 4\/7*i = 0 for i.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3912\/55 - 3\/11. Let a = s + 1211\/15. Let n = 55\/6 - a. Sort n, -4\/5, -0.1 in descending order.\nAnswer: -0.1, n, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**4*y + 626*c**3 - 3628*y with respect to c.\nAnswer: 8*c**3*y + 1878*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**3 - 4*r**2 - 3*r - 2. Let z be s(-2). Suppose -5*t + z + 13 = 0. What is the highest common factor of t and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -26. Suppose -23 - 19 = w*v. Let h be v\/(-21) + (-33)\/(-9). Calculate the greatest common divisor of 44 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1717 is divided by 1362.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, -116, -312, -586?\n\"Answer: -39*u**2 - u + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-22)\/14 + 3007\/(-679). What is the third smallest value in n, 2\/9, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 11 = -16. Let f be (-2)\/(-9) - (4816\/(-36) + p). Let a = 127 - f. Let z(t) = t**3 + 4*t**2 - 8*t + 5. Give z(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 13. Determine h(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 490474459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -5*a - 52, 346*k - 349*k + 3*a - 27 = -17*a - 131 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 2\/1029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 1:53 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 203, 224, 247, 272, 299, 328?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87332 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-7930.38.\nAnswer: 79303.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1938 + 3065. What are the prime factors of y?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 + -66. Suppose a*s + 6 = 0, 7*s - 5*s - 9 = -5*x. Let m be 5\/(-5)*x*-77. What is the highest common divisor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-30)\/360*-8)\/((-2)\/(-99))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -2 + 2\/3*v**3 + 0*v**2 + 0*v. Let o(t) be the third derivative of -t**4\/6 - t**2. What is o(f(a))?\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126 - 40. Suppose 74 = 2*a - 3*r - m, 5*a + 3*r - 400 = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140748583 to the power of 1\/2, to the nearest integer?\nAnswer: 11864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -447*s**5 + 41*s**2 + 12*s - 4679 wrt s?\nAnswer: -8940*s**3 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 404 divide 62903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from oooowowoooooo.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 + 5 - 6*n**3 + 6*n + n - 4*n**2 + 5*n**3. Determine h(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4248 and 364.\nAnswer: 386568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-7)\/(-4)) + (-1078)\/88 + -14?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363211757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5681 - 5681.12. Which is the second biggest value? (a) p (b) -4\/9 (c) 0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42397 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2892752.6 to the nearest ten thousand.\nAnswer: 2890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 10:52 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 1. Let t be v(-1). Let y be (t\/(-4))\/(5\/10). Let d = 2 - 2. Which is the nearest to 1? (a) d (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5030005607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23101202 - 1112?\nAnswer: 23100030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 - 31. Solve 4*j + j + z = 2*v, -3*v = -9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbrbrrrrbrb. Give prob of picking 2 r.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 1\/105*r**7 + 3*r**2 - 2\/15*r**5 - 1\/252*r**8 + 0 + 0*r**3 + 0*r - 2\/9*r**4 + 1\/18*r**6. Find j, given that s(j) = 0.\nAnswer: -2, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 1, 5, -99, -11, -1.\nAnswer: -99, -11, -1, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4))**18*((o*o\/((o\/o**0)\/o)*o)\/o)\/(o\/(o\/(o*o**(1\/6)))) assuming o is positive.\nAnswer: o**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 45*b**2 - 44*b - 88. Calculate a(46).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.08 + 386.08. Let n = 265 - f. Let s = n - -114.0012. Round s to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*a**5 + 5*a**3 - 219*a wrt a?\nAnswer: 320*a**3 + 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120120 (base 6) to base 7.\nAnswer: -42240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -49a1b4 (base 12) in base 7?\nAnswer: -13124056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.02 + -43.84?\nAnswer: -45.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 81, 93, 109, 129, 153, 181?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*r - 8*r - 8. Suppose -t = -r*q + 9, -4*t + 2*q - 3 = 5*q. What is the units digit of ((-45)\/5 - -3)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n**3 + 246*n**2 + 487*n - 7244. Let j(b) = -12*b**3 - 411*b**2 - 812*b + 12074. Let x(o) = -8*j(o) - 13*t(o). Determine k so that x(k) = 0.\nAnswer: -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*b + 4*b - 78, -78 = -3*x - 2*b. Suppose -5*u + 9 = -376. Calculate the remainder when u\/((2\/(-2))\/(-1)) is divided by x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 3 + 2 + 0 + 0 + 2 + 0 - 4 + (-1 + 0 + 3)*(-1 + 0 + 2))*(18 - 30 + 50)*(-2*p + 0*p + p) as y*p + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7 + -51906.19.\nAnswer: -51908.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) 1\/25 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 12. Let y be x(11). What is the closest to y in 0, 5, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19985710?\nAnswer: 2, 5, 17, 117563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28503, -28152, -27567, -26748?\n\"Answer: 117*y**2 - 28620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l - 12 = 28. Solve 32*r**2 - 10*r**l - 10*r**2 - 2*r**2 + r**3 + 25*r = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 296. Let s = -121 - k. Let m = -59 + s. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 14 + 4. Suppose -4*n - 24 = 2*t - k*t, -5*t + 14 = 3*n. Let p(y) = 7*y - 5*y + 6*y + t*y. Let z(s) = -2*s. Determine z(p(c)).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 35*p + 7 - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.8. Let o be ((-2)\/(-4))\/((-4)\/(-128)). Suppose -5*z - o = -1. Sort z, y, 1\/10 in increasing order.\nAnswer: z, y, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 5\/(75\/(-33))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -194*r + 603. Let n be y(3). Solve n = -5*q + 4*z, 11*z + 12 = -2*q + 9*z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.2, -1, 6, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -34193*m - 68381. Give h(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167 - 167 + 18*g**2 - 23*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -277396 - 2121297.837.\nAnswer: -2398693.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(10\/9))\/(a**(-5\/8)*a))\/(a*a\/((a\/((a**(-18)*a)\/a)*a)\/a))**23 assuming a is positive.\nAnswer: a**(28277\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54811 is divided by 42?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -946169*d*f*q**3 - 29*f*q + 20*f - 19*q**3 wrt d.\nAnswer: -946169*f*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -20*y - 48 + 27*y - 27*y. List the prime factors of p(-9).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/3))**(6\/11)*q**5*q*q*q*(q*q*q*q**4)\/q)**(7\/2) assuming q is positive.\nAnswer: q**(546\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 5*k = -315. Suppose 0 = -5*g + 2*d - 448, k*g - 4*d + 456 = 16*g. Which is smaller: g or -268\/3?\nAnswer: -268\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -63, -89, -135, -207, -311?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1008) - (3*(sqrt(1008) + 0))**2) + 3 + sqrt(1008) + (-1 + sqrt(1008))**2 + -4)*-5*-2.\nAnswer: -80630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (108 + (-12 - 72)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1143*w**2 - 3418*w**2 + 1142*w**2 + 1135*w**2. Let s(t) = t - 10. Calculate s(h(b)).\nAnswer: 2*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 6:37 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 8*o**5 - 38*o**4 + 30*o**3 + 50*o**2 - 38*o - 12 = 0.\nAnswer: -1, -1\/4, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 3*w**2 - w - 2. Let i be m(-3). Let h be 29\/(i\/4 - 0). Suppose -z = -5*z + h. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661091819?\nAnswer: 16661, 39679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 304 + -299.85. Let n = -4.25 + g. Which is the third biggest value? (a) 12 (b) 0.3 (c) 1\/5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40236.89 meters in nanometers?\nAnswer: 40236890000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*a = 17, 3*k = -a + 4 + 3. Let n(v) = -16*v**3 - v**2. Let x be n(-1). Solve -3*m = 5*d - k, -2*d = -5*m + 3*d + x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4879)\/328 + 2\/(-16). Let v be 15\/(((-4)\/1)\/4). Is r != v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -58*s**2 + 3*s + 10. Let d(b) = 56*b**2 - 3*b - 12. What is 5*d(g) + 6*h(g)?\nAnswer: -68*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3520784\/1599 + -13211\/6. What is the common denominator of -73\/16 and b?\nAnswer: 8528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 15 = 5*t - 40, 0 = 5*t + 2*p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uudj when four letters picked without replacement from jqrduxu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -2*g - 10, -25 = 5*g - 22062*u + 22075*u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.977485 take away 2124486?\nAnswer: -2124476.022515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137701232?\nAnswer: 2, 8606327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 50\/15*(-3)\/(-2). Suppose 2 - 10 = -4*c, -m*c = 3*r - 100. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-24)*d\/d**6 assuming d is positive.\nAnswer: d**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/71 and -74\/239160021.\nAnswer: 239160021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19114316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 10:02 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 17, 4, 0, 2, 680, 5 in descending order.\nAnswer: 680, 17, 5, 4, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/6*(0 + 3). Suppose -v*f = -9*f - 30. Is f > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379556736 divided by -39?\nAnswer: -9732224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 18 = -10*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1203 + 0.0203. Which is the nearest to 0? (a) 1\/2 (b) k (c) 6\/19 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + (-1 + -7)*(-1)\/(-2). Let d be (18\/4)\/((-69)\/(-92)) - j. Solve 25 = 8*r - d*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71753 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243899 is divided by 243874?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 4*o - 4. Let a(f) = -f + 1. Let n(c) = -20*a(c) - 5*w(c). Let r(y) = y**2. What is n(r(p))?\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2533*s**2 - 1038513 + 1038513)*(-6*s**3 + 4*s**3 + 4*s**3).\nAnswer: 5066*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -24. Suppose 0 = 4*s - 3*s + x - 124, 5*x - q = 0. Let r be 0 + 2 + 1 + 9. Calculate the highest common factor of r and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, l: 7, w: 3, a: 3}. What is prob of sequence alww?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 863202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + k - 1, -3*r + 4*k - 7*k = -21 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22194829.\nAnswer: 22194829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12249812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 10*x**2 + 9*x - 13. Let b be s(-9). Let y = 11 - b. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 730 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 60563 + -134?\nAnswer: 60427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24\/5 - -77\/15. What is the second smallest value in t, -0.3, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -215*r**3 - 4*r**2 - r - 2. Let o be t(5). Let w = -77982 - o. What is w rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*x - 21 = 0, -3*f - 2*x = f - 28. Suppose 0 = -5*v - 3*i + 16, -f - 1 = -4*i. Calculate the remainder when (v - -38) + 3 + -6 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 18 = 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006752762 to the power of 1\/2, to the nearest integer?\nAnswer: 31729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -23. Suppose -17*h - 32 = -j*h. Let i = 12 + h. What is the greatest common divisor of 36 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n - 3. Let q be u(8). Let g be -3*1\/(-12)*-4. Let a = g + q. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1040 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*n + 104*n = 4*n + 6479738. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 + 5*h + 71. Let s be x(-4). Solve -4*d = s*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10096 and -36040488495?\nAnswer: 36040478399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 6:23 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(1 - 13\/6)*(-242)\/(-16940)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1.7. Suppose 5*w + 87 - 12 = 0. Let x be ((-18)\/w)\/(4\/(-30)). Put x, z, 2\/5 in decreasing order.\nAnswer: 2\/5, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 123, 0, 4, 5 in ascending order.\nAnswer: 0, 4, 5, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 2693678.\nAnswer: 13468390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66849.94 weeks to hours.\nAnswer: 11230789.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000824 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - 2*x**3 + 2*x - 2 - x**3 + 2 - 3*x**3 - 2*x**3 + 4*x**3 + (3 - 4 + 0)*(x**3 - 4*x**3 + x**3) + 6*x**3 + 3*x**3 - 3*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = d + 4*z - 14, z = 5. Let f = d - 7. Is (-15)\/(-10) + 283\/f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78447079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 503393649?\nAnswer: -503393649.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -43.27 * -0.055\nAnswer: 2.37985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00208648248 to five dps.\nAnswer: 0.00209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61602129\/2348 + 26236. Is b at most 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1400, -2742, -4038, -5288, -6492, -7650, -8762?\n\"Answer: 23*t**2 - 1411*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138*v**4 - 240*v**2?\nAnswer: 3312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8759151 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 4 + sqrt(2736))**2 + 3 - (sqrt(2736)*-4 + 5)**2 - (sqrt(2736) + -2 + sqrt(2736)*5 + sqrt(2736) + -4)**2*-5.\nAnswer: -4368*sqrt(19) + 637662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 - 2*c**4 + c**4 + 3*c**4 + (119*c**3 + 1667*c - 1667*c)*(c**2 - 5*c**2 + 5*c**2).\nAnswer: 118*c**5 + 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 7) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -17*v**9\/126 - 17*v**5\/15 - 61*v**2. What is the third derivative of i(g) wrt g?\nAnswer: -8160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18 - 17 - (4 + 0). Let q be (18 + -21)\/(s\/5). Suppose -w - 2 = -4*i - 5, 4*w - 1 = q*i. Let n(j) = -12*j. What is n(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9607*n**3 - n**2 - 2*n - 5. Let l be i(5). Suppose -23491110 = 6*q + 28*q. Let c = l - q. What is c rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + sqrt(500))**2 - sqrt(55)\/(sqrt(33)\/(sqrt(3)*-2)))*2.\nAnswer: -36*sqrt(5) + 1006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 17, 12, 23, 56, 117?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and 119610591?\nAnswer: 1554937683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -42. Solve -p + 5*p = -5*f - 26, -p = -f + i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**3\/3 - 1645. Let x(d) = -217*d. What is p(x(c))?\nAnswer: -47089*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbzxzbebvzzzxbx. Give prob of picking 2 z, 1 x, and 1 b.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**4\/12 - i**3\/3 + 18*i**2. Give g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1501.\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 13 - -18) + (-82 + -12 - -5).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.006 - 185149985.2.\nAnswer: -185149985.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(34)*3)\/((sqrt(14) + sqrt(14)*2)\/sqrt(7)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.38173467 rounded to 3 decimal places?\nAnswer: 60.382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -20.8 (b) -5 (c) 5 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 837 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3075 and 97\/1230.\nAnswer: 6150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.05 - 4.75. Put 0.2, -24, -4, k, 0 in ascending order.\nAnswer: -24, -4, 0, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -989261 divided by 236.\nAnswer: -989261\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -19, 181, 0.15 in descending order.\nAnswer: 181, 3, 0.15, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22951 - 22704. Is u a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/948? (a) -4 (b) -1.8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -18. Is 7 a factor of ((-10)\/4)\/(2\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-63))\/(2\/(-2)))\/(12\/294).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1979313.97300063 + 1979314. Let y = -0.11 + 0.083. Let f = a + y. What is f rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 5:51 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggrhehhegghghexth. Give prob of picking 1 r and 1 t.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 7. Give q(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*r - 1493 = 2*r, -3*k + 4467 = -r. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4)*(1 + 0 + 1)*(1 - 1 - s)*(0 - 2 + 5).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314699 to the power of 1\/2, to the nearest integer?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + b**2 - 1 + 8*b**3 + b**3 + 0*b**2. Let d be j(1). Calculate the highest common divisor of d and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -93\/262 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + p - 1. Let b(y) = 15*y**2 + 6*y - 6. Determine -b(x) + 6*d(x).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -431*a - 6889. What is the ten thousands digit of r(-61)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-38) + 25265\/(-5890)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 149*d**2 + 556*d + 3295. Determine i(145).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, t: 1, g: 1, r: 2, v: 2, n: 1}. Give prob of picking 1 z, 1 r, and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-2))\/((-6)\/5124). Let w(s) = 432*s**2 - 4 - z*s**2 + s + 0*s. Let m(t) = 11*t**2 + 2*t - 9. Let d = -9 + -4. What is d*w(k) + 6*m(k)?\nAnswer: k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1080\/(-13))\/(-6) - 14?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2749*g - 255614 = 702*g - 14626 + 186936 for g.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161216969.\nAnswer: 59, 2732491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {u: 5, y: 9}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(sqrt(10)*-2 + sqrt(10)))\/((sqrt(12)\/sqrt(2) + sqrt(6))*4).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 4*g - 2*g**3)*(3*g - 3*g - g**2) - 5*g**5 - 4*g**4 + 4*g**4.\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*h + 547 = 427. What is the biggest value in -0.026, h, 3, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*q, 27 = 2*l + 12*q - 7*q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*n - 48, n = 2*n + 4*q - 28. What is the remainder when 58 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 - 0.26. Let n = -18606 + 18604. What is the nearest to n in v, -4, 8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13858002)\/13 + 532\/3458. Round z to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -475*p**5 - 218*p wrt p?\nAnswer: -9500*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*f + 168*f = -4. Let k be (-594)\/77 + f\/(-7). Let y(l) = l**2 + 9*l - 1. What is y(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.5. Let t = 13.6 + -13. Let g = t - 0.3. Put 4\/7, q, g in descending order.\nAnswer: 4\/7, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11213 + 11320. What is the remainder when 982 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112022 + 10?\nAnswer: 1112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-3)\/2*(-270)\/(-243)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s. Let o = 13 + -13. Suppose 2*x + 6 = 3*i - 3, o = 4*x - 5*i + 13. Give k(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 7*p = -436. Suppose 0 = 2*j - 7 + 1. Suppose -4*x + 215 = -o, -x - p = -j*x + o. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 4*c + 400*l = 402*l - 22, 4*c = 5*l - 121 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9*o + 9. Suppose -2*s + 20 = -0*l - 3*l, 3*s - 60 = -3*l. Let v be ((-4)\/(-6))\/(s\/(-120)). List the prime factors of x(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1080607789 is divided by 407?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 210 * -1.2.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -747 + 951. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29784 and 25908?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -5151345?\nAnswer: 5151351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 786, 0 in decreasing order.\nAnswer: 786, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+0.629\nAnswer: 0.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - b**2 - 1. Let i = -146 + 143. Give l(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.1 (c) 0.04 (d) 5 (e) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 702681689834 - 702681689834.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 6*m**2 - 5*m + 16. Let p be t(-7). Suppose 3*r + 27 = p*u, -2*r - 3*r - 3*u - 45 = 0. Let z(f) = -9*f - 18. What is the tens digit of z(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*h + 16 = -87, 2*h = 2*s - 54. Suppose s*o = 10*o + 1144. Let x = 92 - o. Solve 3*g + x*m - 6 = 0, 2*m = m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 72*j = 75*j - 65, -2*i + 5*j = -13. Let l = -36500\/7 - -5228. Which is greater: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16621 = -20*r + 22979. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 17*l = -15*l + 10, -2*m + 4*l = 4. Sort -4, -17, m, 0 in decreasing order.\nAnswer: 0, m, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, -694, -2172, -4200, -6754, -9810, -13344?\nAnswer: -17332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75.75 - -65.7. Round v to one decimal place.\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + -5*sqrt(1728))*2)**2.\nAnswer: 345600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 132*t**2 - 1692*t + 154. Determine g(13).\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 379 + -270. Let h = 129 - t. Calculate the greatest common factor of h and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-1))\/(6\/3). Let t(q) = 5*q**2 + 8 - 8. Let p be t(m). Solve -p*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39 (base 11) to base 7.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -2568802?\nAnswer: -6\/1284401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 8. What are the prime factors of 2 + -2 + k + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 903865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen eighths of a milligram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1041*y - 8340. Calculate m(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 12) in base 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngn when three letters picked without replacement from {s: 5, g: 1, n: 3, p: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 565 - 552.78. Let l = b + 55.08. Round l to zero dps.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + -9 + 18\/2. Suppose 10*r + i*r - 2144 = 0. Calculate the remainder when r is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 9. Let o be k(-8). Let b be ((-116)\/6)\/(2\/(-3)). Let j = b + o. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*u - 14612, -3*u + 14610 = 5*r - 3*r. Suppose -16*v + r = 20*v. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -1. Let q = 5 + -4. Let k = 1.8 - 2. Which is the nearest to q? (a) x (b) -0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.0549 + 0.0549. What is the closest to l in 1, 0.5, 0.08, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 31 and -5327067.1182.\nAnswer: -5327036.1182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - (38 + -37 + -15 + 11 + 0).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-51)\/170*((-30)\/(-9))\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5898934, -11797871, -17696810, -23595751, -29494694, -35393639?\n\"Answer: -k**2 - 5898934*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192.356396ns in weeks?\nAnswer: 0.00000000000197148875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r + 36. What is i(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549986 divided by 4?\nAnswer: 774993\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((sqrt(84)*1)\/sqrt(12)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 7 - 35 = -4*z, b - 4*z = 27. Suppose 0 = -7*u + b*u - 20. Solve -u*w - 2*s - 16 = 0, -5*w - 12 = -0*w + 4*s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 2\/15 (c) 1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*-1*(-14 - -3). Let c = 12 - g. Let k = -0.309234 + -0.690766. What is the closest to k in 2, 5, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2\/d**7)**(-7\/2) assuming d is positive.\nAnswer: d**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -5*v - 30, 3*w = -v - 6 + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355012370?\nAnswer: 2, 5, 163, 433, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(((-48)\/(-24141))\/(-8)). Is -2*2\/(-14) + k\/(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*v - 125 = 0, k - 75 = -2*k + v. Let b(y) = y**2 - y. Let z be b(2). Solve -k = 3*r + z*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7557 + 2?\nAnswer: -7555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 5.3. Let i = 10.8 - 14. Let l = 3 + i. What is the closest to -2\/9 in 0.5, l, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7711991 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.040676 litres to millilitres.\nAnswer: 5040.676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652004 a multiple of 838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 at most as big as -6101\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-27)\/15) + (-2322)\/(-14835)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 152 and 2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102430089 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 23 (b) 2\/7 (c) -15\/7 (d) 0.1 (e) 8 (f) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4896.81496 rounded to the nearest ten?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 77*c**2 - 23*c**2 - 4.\nAnswer: 54*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5)\/m**1)\/(m*m**(-7\/3)*m**(1\/5)*m) assuming m is positive.\nAnswer: m**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*d - 1462*d - 66*d = 36*d + 12642 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16411 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 253478 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j - 12. Let b be w(10). Suppose -b*g = -3*g - 665. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 124 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/1929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + (sqrt(540)*1)\/sqrt(12))\/(-1*sqrt(324)) + (sqrt(420)\/(-3*sqrt(12) + sqrt(12)))\/(sqrt(7) + 2*sqrt(252) + sqrt(252) - sqrt(7)).\nAnswer: -13*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 + 0 = -4*x. Let m be 5\/x - (-51)\/12. Suppose 6 = 3*k - 6. Are k and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t - 1. Let x be f(-2). What is the second derivative of -g**4 + 4*g**x - 4*g**3 + 3*g - 4*g wrt g?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-nine fifths of a millimeter?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -14 + 20\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 842 times -0.06\nAnswer: -50.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*k = -2*m + 18, 2 = -3*m - 5*k. Suppose -5*z = 20, -3*n - 19 = -m*n - 2*z. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f**2 - f - 75. Let m(t) = t**3 + 7*t**2 + 3*t + 3. Calculate the remainder when x(5) is divided by m(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 128199, 128196, 128193, 128190?\n\"Answer: -3*o + 128202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.168, 0.1, -83, -6 in increasing order.\nAnswer: -83, -6, -0.168, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53983335 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*o, 7 = 4*c + 4*o - 3*o. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - -2 - (-6)\/1. Suppose -s + t + 2 = 0. Let i = s - 3. Is -1 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4 - a**3 - 3*a + 0*a - 5*a - 7*a**2 + 2. Does 8 divide x(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 2*z + 13. What is n(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*f - 7590 = 1216*f - 537*f for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7042317 and -1.4.\nAnswer: -9859243.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 divided by -374?\nAnswer: -52\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 109 + 119. Suppose 0*w + w + p = 0. Let v = w + 94. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(44\/(-8)))\/(2\/(-6))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/2))**29\/(j*j**10*j\/(j*j**4)) assuming j is positive.\nAnswer: j**(73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -18*q - 11. Let h(b) = -b**2 + 2*b + 2. Let v be h(4). Is r(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 2\/5*q**5 - 13\/3*q**3 - 20*q**6 + q + 0*q**4 + 24 + 0*q**2. What is the third derivative of u(b) wrt b?\nAnswer: -7200*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*v - 43 = 0, 3 + 19 = -a + 5*v. Let w(s) = -s + 19. Let y be w(12). Suppose 0 = -19*f + 18*f - y. Is f less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 11:30 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1502951?\nAnswer: 491, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/10)\/(56\/140*(-3)\/(-6)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 312*g + 13727. What is h(-44)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -26.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 4*m - 3. Determine d(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 4 = 8*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -668*n + 3. Let i(l) = -668*l + 5. Determine 3*f(q) - 2*i(q).\nAnswer: -668*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**5\/30 - 5*i**4\/8 - 29*i**3\/3 + 2*i**2 + 8*i. Is y(-25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1393.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 17*b**3 + 674*b - 10. Let q(d) = -14*d**3 - 674*d + 8. Give -5*q(h) - 4*r(h).\nAnswer: 2*h**3 + 674*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 0*c + 2*c - 6, -4*k - 20 = -4*c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*w - 1, -2*a - 4*w = 10 - 2. Let c(s) = 5 + 8*s**2 - 16*s - 5*s**2 - s**3 + 18*s. Let d be c(4). Is d greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 3*k + 1. Let z be o(2). Suppose -2*h = -3*m + 34 - 3, 2*m + z*h + 1 = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3120*l. Let k(g) = -g. Give -i(m) - 13*k(m).\nAnswer: -3107*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 12*q = 5*f + 275, -q = -f + 71. Put q, 1, 2 in decreasing order.\nAnswer: 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2468 and 4020989?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4497 is divided by 1122.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4673405 divided by -13705?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 3. Let q(m) = 33*m + 35. Let v(x) = -4*d(x) - q(x). Calculate the least common multiple of 8 and v(-2).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*r, -3*r - 6*b + 2*b = -27. Suppose 2*o + 2*a = 1 + 1, 3*o + 5*a + r = 0. Suppose -5 = -p + 7. What is the remainder when p is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3787624 + -3789025.7105. Let i = x - -1402. What is i rounded to two dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/2054 less than -81684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(3 - -8 - 2). Let n = 2.6 + -3. Let d = -5 + 5.5. Sort d, n, x.\nAnswer: n, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9913261*g**3*i**2 + 2*g**2*i**2 + 4*g**2 - 221021*g + i wrt g.\nAnswer: -59479566*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 1674.8293.\nAnswer: -167.48293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2158463 is divided by 1079156?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**3 + l + 1. Let n be o(-1). Let v be ((-6)\/(-4))\/(45\/(-150)). Is v bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*w**4 - 745831*w**3 + 2*w**2 - 5442*w + 20 wrt w?\nAnswer: -888*w - 4474986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 + 4)*(-14 + 14 + 8*h**2) - 1344*h**2 + 672*h**2 + 674*h**2 - 9.\nAnswer: 82*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/3))**(-1\/12)\/(p*p\/((p**1*p)\/p)*p)**(-2\/11) assuming p is positive.\nAnswer: p**(89\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18462 - -3.\nAnswer: -18459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5 + -1.1. Let j = -802 + 801.1. What is the second smallest value in j, -7, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 10*h - 9. Let f be s(11). Suppose -3*c = -6, 0*c - f*c + 28 = -d. What is the common denominator of -41\/3 and 2\/(-2 + (-52)\/d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04374862 rounded to four dps?\nAnswer: 0.0437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 144242437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - (3 - 16)) + 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 14625174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 810 = 828 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*i + 297*i + 3*c - 16 = 0, -i = -0*c - c - 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -58\/3. Solve u*g**2 - 2\/3*g + 1\/3 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**2*u*y - 2*s**2*u - 705*s**2*y**2 - 61*s*u + 5*s*y**2 wrt s?\nAnswer: -2*u*y - 4*u - 1410*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpvvvvvpv. What is prob of picking 1 p and 2 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 12 = -b, -i + 3*b + 14 = 3*i. Let g(v) = -4*v**2 + 3 + 5*v**2 + v**2 - v**i + 2*v. Calculate g(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 427973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 53*b**2 - 422*b + 117. Calculate n(60).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3439929 (base 11) to base 12.\nAnswer: 2021519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 912*c - 300*c - 6961 + 841 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 1. Let u = -2 - y. Let z = -772\/7 + 110. What is the closest to z in u, -2, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 - -96. Suppose a*s - 5*t - 99 + 6 = 0, -5*t - 71 = -3*s. Calculate the remainder when (-453)\/(-7) - 8\/(-28) is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -626 by -1.\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1026\/11, -4, 0, -1 in descending order.\nAnswer: 0, -1, -4, -1026\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490801911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h, i - 47 = -h - 20. Let q be (-94)\/(-18) - 6\/i. Suppose 25 = q*t - 0. Solve 0*g - 4*g = 2*c + 20, t*c - 2*g = -14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 100.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -350120567 or -350120565?\nAnswer: -350120565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9288 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -34*o + 1. Let x(t) = t**2 + 2*t + 8. Let r(g) = 4*g + 16. Let i(y) = 2*r(y) - 4*x(y). Determine i(v(j)).\nAnswer: -4624*j**2 + 272*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**3 + 7*d - 8*d - 2*d**3 + 6*d**2 + d**2 + 2. Does 27 divide w(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -3)*(-2184)\/(-5733)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2254.097869 + 1074141169.097869. Let k = -1074139013.0000634 + f. Let y = k + 98. Round y to 6 decimal places.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-6)*8\/(-56))\/(6\/(-138)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -941 + 2079. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*2*sqrt(17))**2.\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*v - 3*k, 0*v - 5*v = -2*k - 6. Let c be (0 - -1) + v + -1. Let a be ((-100)\/(-24) - 4)*6. Calculate the greatest common divisor of a and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(19\/2))\/c*c*c**(-8\/7))\/(c*(c*c*(c\/c**(12\/13))\/c)\/c*c*c**(-29)) assuming c is positive.\nAnswer: c**(3145\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 10:14 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*f - 8 - 4, 4*f = 16. Let s(g) = 38*g**2 - 2*g - 5. Let n be s(m). What is the greatest common factor of n and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -289 + 407. List the prime factors of u.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 302 + 96 = 130. Solve -3*a = -4*x + 28, 2*x - 21*a - c = -16*a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/112*4*-4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1789633 (base 14) to base 8.\nAnswer: 54266035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 14*n + 8. Let k(u) = -2*u + 1. Determine -g(i) + 5*k(i).\nAnswer: -24*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2977 - -2478. Is a greater than or equal to -502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1249, 10197, 19145?\nAnswer: 28093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -524908, -524874, -524840, -524812, -524796, -524798?\nAnswer: -524824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**6\/180 - j**5\/30 + 4*j**3\/9 - 27*j**2. Determine v, given that n(v) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1945653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - -7 - (39 + -11) - -27?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -2*m + n, 3*n + 198 = -3*m + 54. Let w = m + 43. Suppose w = -5*y + 9264 - 1549. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26205 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (52 - 21) + (-8 - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 61.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 - 26*u**2 + 2231*u - 26481. Give h(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.9 (b) -0.2 (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29038 is divided by 9280?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/12))\/(g**17*g))\/((g\/(g*g*g**(19\/5)))\/g*g**19) assuming g is positive.\nAnswer: g**(-1817\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 718\/15 - 22\/(-165)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2\/11*g**2 + 0 + 0*g + 2\/11*g**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 1 = -3*i + 5, 0 = -4*n + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6235027 milliseconds to seconds.\nAnswer: 0.0006235027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h + 24 + 7*h**2 + 2*h**3 - 30 - h**3. Let w(x) = 2*x**2 + 133*x - 74. Let n be w(-67). Calculate t(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0815 in 0.2, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 2*p**2 - p - 6 + 1 + 12. Let v be r(-3). Is -151 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 4. Let t be n(9). Let q = 13 - t. Let i be (-4 - q)\/(3\/(-4)). Solve 5*y - i*y - 5 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8447032*j*m**2 - 163*j*m + 2*j*x + 2*m**2*x - 7*m + 3*x + 1 wrt m?\nAnswer: 16894064*j + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 238618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180101 and 14307?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 633229933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 663298 and 738?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 22 + 6*r)*(41 - 55 + 47)*(-3*r + 2*r - r)*(3*r + 3 - 3).\nAnswer: -1188*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + u + 2*u + (-2*u - 4*u + u)*(0 + 1 + 1).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 - 17. What is the tens digit of i(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 154676*p**4 + p**3 + 9705673*p wrt p.\nAnswer: 1856112*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*u - 93 = -14*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 5.5. Let b be (-2)\/(-2 + 54\/26). Let o be (-2)\/5 + b\/60. What is the second smallest value in s, o, 1\/12?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrwrwwrrwwr. What is prob of picking 2 r?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 7*u + 3. Suppose 2*m - 22 = 2*r - 6*r, 0 = -m + 4*r - 1. Let t be y(m). Which is the nearest to 0? (a) 0.2 (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3 + 4058306*y**2 + 8116618*y + 4058310 = 0.\nAnswer: -1, 2029155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10491 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 10*z**2 + 2 + 26*z**2 - 3 - 63*z**2 + 26*z**2 + z. Let v(w) = 19*w**2 - 3*w + 4. Calculate 5*m(y) + v(y).\nAnswer: 14*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/7 - 3\/(-7). Suppose -w*q - 3*v = -18, 3*v + 5 = -2*q + 15. Solve 0 = 2*l - 0 - q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 359. Suppose -2*g - p = -5*g. Is g a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) - 44\/(-6). Suppose 0 = 3*a - 15, o + a - r = -0*a. Suppose o*l + 3*n = 7*n + 35, -2*l - 15 = 5*n. Which is bigger: l or 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-2)*3*5\/(-135)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from {q: 3, d: 10, o: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -242235 divided by 2?\nAnswer: -242235\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -4*o - 22, 0 = -o + 4*w + 1 + 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 188107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h - 4. Let o(m) be the third derivative of m**6\/120 + m**5\/20 - m**4\/12 - m**3\/3 - 2*m**2. Calculate the remainder when f(3) is divided by o(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + (-1*sqrt(48)*-4 - sqrt(48))**2 + 5 + -5*(0 + sqrt(363))**2*-6.\nAnswer: 4*sqrt(3) + 11327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 q, and 1 s when three letters picked without replacement from {s: 7, l: 2, p: 1, e: 2, r: 1, q: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*i**6 - 3*i**6 + i**2 - 2*i**2 + 6*i**6 wrt i.\nAnswer: -1080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*b + 10 = -7, 2*b = -3*r - 30. Which is greater: r or -9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 36 = 2*h, 2*z = -z - 2*h + 12. Suppose f + 80 = z*f. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -4. Let f(n) = -7*n**3. What are the prime factors of f(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -4 (c) -0.15 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15))\/((-35)\/(-50)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a9 + 165?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 4*d - 116, -4*t + 128 = -d + 32. Let y = t - 24. Suppose -2*k - 40 = -3*c, c = 3*k + 3 + y. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 1014.\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 360?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(24)\/sqrt(3))**2 + (sqrt(72))**2*4 + (0 + (-5 + sqrt(2)*1 - ((sqrt(2) - (5 + sqrt(2)*-2)) + sqrt(2))))**2.\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*z**4 + 255*c**3*z**3 + 2*c**3*z + 2*c*z - 393*z wrt z.\nAnswer: 12*c**3*z**2 + 1530*c**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 1) + 8\/(-130)*919. Let o = f + 574\/13. Calculate the common denominator of o and -38\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 56 = 199. Solve v + j = -12*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2 + (-180)\/(-120)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 311*i + 1832. What is r(-6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 8 - (430 + -414)) + 20\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106084 divided by 659.\nAnswer: -106084\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100001110 + 0?\nAnswer: 100100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -12*o**4 + 7671*o**3 - 1133937*o**2 + 48909705*o - 12156675 = 0.\nAnswer: 1\/4, 95, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1977704, -1, 66, -2 in descending order.\nAnswer: 66, -1, -2, -1977704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*l - 4*x, -3*x = -6*x - 9. Let m(t) = 40*t**2 + 67*t - 4. Let h be m(l). Let o = 6 + -4. Is h greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*p - 25*p + 83*p - 25*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(48)*6)**2 + -3.\nAnswer: 1720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 143*(-34)\/1309 + (-2)\/7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 10 = 0, -10 = -2*a - 3*s + 7. Is 0 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - d. Let y(n) = 226*n**2 - 140*n. Let i(b) = 3*u(b) - y(b). What is the second derivative of i(m) wrt m?\nAnswer: -458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9400*q - 958797. Give k(102).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 210\/(-2)*24\/(-30). Let r = -79 + y. Solve -r*b + 10 - 20 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 9:38 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -361156 + 361176. Let f(b) = 29*b - 4. Let u be f(4). Let y = u - 55. What is the remainder when y is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 0.81, -3\/4, 0.3, 0.01?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 18*g + g)*(21*g + 90 - 90).\nAnswer: 399*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 1:50 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 7. Suppose -m = 4*m + 45. Let v be a(m). Put -4, v, 1 in increasing order.\nAnswer: -4, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(((p*p**(-5)*p)\/p)\/p)*p*p**(2\/3)*(p**5*p)\/(p*p**0*p*p) assuming p is positive.\nAnswer: p**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -38. Let l(o) = -16 + 2*o - 14 + k. Let y(z) = -14*z**2 - 3*z. Let v(i) = -14*i**2 - 2*i. Let x(d) = -3*v(d) + 2*y(d). Give l(x(a)).\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1474506, 1474562, 1474618?\n\"Answer: 56*u + 1474450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2. Let j(m) = -17097*m. What is r(j(z))?\nAnswer: 292307409*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -34*m - 18. Let h be a(-1). Suppose 0*i + 896 = h*i. What is the highest common factor of i and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.149683 * -187.\nAnswer: -27.990721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6021259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 y, and 1 p when four letters picked without replacement from {n: 1, y: 4, x: 4, p: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -507*c + 114 - 390 + 136 + 140 + 537*c.\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 22648857448\nAnswer: -22648857452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/y**1)\/y*y)**(3\/49)\/(y**(-2\/5))**(-27))\/((y**(-1)\/y)**(-1\/3)*y**7*y*y\/(y**(-2\/5)*y)) assuming y is positive.\nAnswer: y**(-14557\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-34)\/255*(-10)\/12.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -121.3 - -121.31026. What is k rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppcppppc. What is prob of picking 1 c and 2 p?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, -6, 1\/8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 788184 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 133 = -136 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425*d - 375 = 900. Put d, -31, 5, -24 in decreasing order.\nAnswer: 5, d, -24, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -360.\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61235 + -14351. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49243 is divided by 867.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -4. Let s(a) = 2*a**2. Let j be s(k). Suppose 0 = -4*d - j + 96. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-6)*-2 - (-10 + 5). Factor -4*d**4 - 28*d**2 - 11*d**3 + 2*d - 12*d + u*d**5 + 8*d**3 - 21*d**3.\nAnswer: 2*d*(d - 5)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12988 and 158?\nAnswer: 1026052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuiiuiuiiiiiiiuio. Give prob of sequence iio.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -77*u + 542. Let x be n(7). Solve -4*m - x = -l, -m + 3*m - 3 = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18014.\nAnswer: 2, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 283.857 - 284. Let j = q - -0.1430109. What is j rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 9*c. Suppose 2*a - 3*n = -c*n + 53, 0 = -a - 4*n + 54. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67856338?\nAnswer: 2, 11, 947, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -19. Suppose -w = -3*k + 6. Suppose 0 = -3*m - m + k. Solve 0*a = -m*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 4:09 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(6\/8*(-36)\/(-27))*3053\/1065.\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -69\/2. Let g = 0.5 + -0.3. Put q, -3, g in decreasing order.\nAnswer: q, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 4 = -16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 121829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1, 0.1, 58, 5, -2, 0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -218*m**2 - m - 1. Let b be t(1). Let d be -603 - 0 - (-1)\/1. Let z = b - d. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4144 + -2562.4144. Do 2\/7 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1757 - 1685 = -12*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122424\/(-1020) + 107 - (5 - -73)\/(-6).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7725473 + 7725471.99999905. Let k = x - -1. What is k rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 2, l: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1016520 (base 7) to base 14\nAnswer: -32847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -309458 bigger than -309459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f - 10. Let n(r) be the first derivative of 3*r**2\/2 - 9*r + 3. Let s(k) = 3*n(k) - 2*t(k). What is the remainder when s(10) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -99*k**2 - 99*k - 77. Give b(-1).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 11*g + 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 9*f**2 - 8*f + 7. Let l = -64 + 263. Suppose 0 = 32*c + l + 25. Calculate y(c).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -636, 23, -213, 14, 0 in increasing order.\nAnswer: -636, -213, 0, 14, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000098 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 327917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23 - 3*o**5 + 23 - 3*o wrt o?\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5*l - 46, 0 = -0*l + 4*l. Let c = 37 + q. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - 2) + 1 + 2. Suppose 5*h + 16 = 2*s, s - 3*h = 4 + 5. What is the smallest common multiple of 1\/w + (-15)\/(-12) and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43656593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -87*q. Let u(w) = 169910*w + 2. Determine s(u(z)).\nAnswer: -14782170*z - 174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156022 and 4706.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + -152333?\nAnswer: -152304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**3 + y**2 + 7*y. Suppose b + 5*d - 15 = -6, b + 2*d - 3 = 0. Let k(w) = -w**2. What is b*k(n) - f(n)?\nAnswer: 4*n**3 - 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5 = 2*p, 0*p = p - 3*a - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77374.48us to milliseconds.\nAnswer: 77.37448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 424443523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxvpsvpxqspvqsxqsqq. What is prob of picking 1 s and 1 v?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5419447 a multiple of 1241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17830 and 17270?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -999 + 7991\/8. Suppose 0 = 3*m + 1 + 8. Let x = -3 + 2.6. Which is the smallest value? (a) m (b) w (c) x (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/156536970 and -173\/156536970.\nAnswer: 156536970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -11*g - 19. Calculate u(-8).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31348498 is divided by 163?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36616975 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**2 - 2683. Suppose 0 = -2*z - 2*z. Let i(x) = 0*x - x**2 + z*x. What is b(i(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 + -69. Solve 6*n - m = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 4*c**3\/9 - c**2\/2 + 10. Factor q(k).\nAnswer: k*(4*k - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 v when four letters picked without replacement from {j: 8, m: 6, v: 3}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -192.285\nAnswer: -19.2285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 35\/8 (b) 2\/9 (c) -4 (d) 2\/3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 26*z - 17. Let s(g) = 704*g - 462. Determine 4*s(l) - 110*u(l).\nAnswer: -44*l + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 94*s - 21. Let l be p(3). What is the first derivative of -2*k - 7*k - l - 39 - 10*k wrt k?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bplwildp. Give prob of picking 1 b, 1 w, and 2 p.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 5:37 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(498\/(-10458))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-8))\/(2\/12). Let n be 320\/(-18) + (-2)\/t. Calculate the remainder when (-220)\/n + 4\/(-18) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13872*k**3 - 8568*k**2 - 1323*k.\nAnswer: -3*k*(68*k + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(8)\/(sqrt(2)*-2)) - (-2 + sqrt(3) + ((sqrt(48))**2 - sqrt(3)) + 0).\nAnswer: -46 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678916?\nAnswer: 2, 7, 24247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1582, 12493, 42072, 99661, 194602, 336237, 533908, 796957?\n\"Answer: 1557*c**3 - 8*c**2 + 36*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11733807, 11733813, 11733819, 11733825, 11733831?\n\"Answer: 6*h + 11733801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**3 - 15*x**2 + 21*x + 12. What is the remainder when g(4) is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*k - 237299 = 0, -i + 3*k + 7724 = -39729. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + q - 14 = 0. Let g be (q\/(-3))\/(54\/(-243)). Suppose -16*m = -8 + 8. Solve m = -g*r + r - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3130 is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1140)\/(-456)*1*6*(-3)\/3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6745.\nAnswer: 5, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 4*x**2 + 9*x - 5. Let h be o(6). Let y = 25 + h. Suppose -y*r - 8 = -0, 5*w = -r + 11. Solve 0 = 2*k - w*k + 2, 4*i + 6 = 5*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) - 5*sqrt(102)\/sqrt(2))\/(sqrt(297)\/sqrt(11)))**2 + ((-5*sqrt(170)*-1 + sqrt(170))\/((sqrt(20)\/sqrt(2) + sqrt(10))*4 - sqrt(10)))**2.\nAnswer: 18836\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 283265 divided by 5?\nAnswer: 56653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**2 + x + 17. Let t(s) = 2*s**2 - s - 9. Suppose -432 + 487 = -11*r. Give r*t(f) - 3*j(f).\nAnswer: 2*f**2 + 2*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18*14748.4.\nAnswer: -2654.712","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -90622, -181419, -272220, -363025, -453834, -544647?\n\"Answer: -2*l**2 - 90791*l + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -3*v - 5\/6*v**3 - 23 - 104\/21*v**7 + 0*v**5 + 1\/6*v**4 + 0*v**6 + 0*v**2. Find the third derivative of r(z) wrt z.\nAnswer: -12480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349712 is divided by 183.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 98855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6 and 1675\/1090*36\/360?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 58706726*s.\nAnswer: -58706726*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.17466 + -0.176. Round h to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.286333417 - -0.4.\nAnswer: -7.886333417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 7208?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1653119026\/1366700115 + -2\/6539235. Let v = p - 2\/209. Determine i so that -6\/5*i**2 - 2\/5*i**4 + v*i**3 + 0 + 2\/5*i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214900 is divided by 371?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8034 - 4669. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.43 + -191.57. Let u = 193.0161 + y. Round u to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21485 - -193772\/9. Let f = y - 45. Solve 2\/9*i**3 - f*i + 0 + 2\/9*i**2 - 2\/9*i**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(156) - (-2*(sqrt(156)*-1 + sqrt(156)) - sqrt(156))))\/((sqrt(192)*2)\/sqrt(4)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -50. Suppose 5*g + 92 = 6*g. Let p = g - z. Calculate the remainder when p is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 11) + 0 + (-24)\/8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 s when four letters picked without replacement from {y: 9, s: 4, l: 3}?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52387?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-660)\/192)\/((-2022)\/2120). Let j = g - 7\/337. Calculate the common denominator of 35\/4 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -17*-2*(1 + 1). Let x be 87\/(-4) - 17\/t. Does 13 divide 3\/(-3) - x\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61167 is divided by 1653.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*h = 3*h + 55, h = 5*q + 80. Let f(l) = 2*l - 5. Let m be f(6). Is 2 a factor of 0 + m - (-19 - q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5)\/h)**(-9\/5)*((h**(-1\/3)*h)\/h*h)**(1\/4))**41 assuming h is positive.\nAnswer: h**(13489\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x - 4*x + 3*x)*(3*x - x - 3*x) + 2*x**2 - 1 + 1 + (2 - 3 + 2)*(-328*x + 11*x**2 + 328*x) in the form j + v*x**2 + i*x and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111 + -109. Let h(j) = -j + j - 5*j - s*j. Let w(g) = 6*g. Calculate w(h(l)).\nAnswer: -42*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - ((-14 - -12) + 7 - -2) - -6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -12*u**5\/5 - 10*u**2 + 19. What is the second derivative of l(i) wrt i?\nAnswer: -144*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 7*o + 35491. Is x(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (67 - (118 + -70)) - (0 + (-2 - -81)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-30)\/105)\/((-90)\/(-28)))\/((-16)\/(-168)*-7).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149 - 104. Let h = j + -35. Suppose 0 = o + 5*n + 6, 0 = -9*n + 4*n - h. Put -5, o, -1 in descending order.\nAnswer: o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**4 - 277044*j**3 + 6396391848*j**2 - 49235158522480*j + 147647915520672 = 0. Calculate j.\nAnswer: 3, 23086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggaa. What is prob of sequence gaag?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -44826125.09 to the nearest ten thousand.\nAnswer: -44830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -13, 37, 155, 365, 691, 1157, 1787?\nAnswer: 2605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 7*g**2 + 5*g + 9. Let i be -4 + (2 - 4) + 0. Give n(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 - 16*d**2 - 5*d**2 - 8*d**2 as w*d**2 + c + h*d and give w.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 14*b**2 - 19*b + 66. Calculate s(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 1. Let l(c) = 69*c**3 - 3*c**2 + 4. Give l(h) - 4*o(h).\nAnswer: 65*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4805930.\nAnswer: 2, 5, 31, 37, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 283539040?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*r - 4*s - 6, 2*r + 4*s = -4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 9*v + 12. Let i be s(-10). Suppose 3*f + i*q + 19492 = 0, -3*q - 12984 = 2*f + q. Round f to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 times 1814.47?\nAnswer: 526196.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -25\/4*w**4 + 6 - 60*w + 0*w**3 - 1\/2*w**2. What is the second derivative of z(s) wrt s?\nAnswer: -150*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -27. Let n = 54 + z. Let -8*j**2 + n*j**4 + 16\/5*j - 126\/5*j**5 + 0 - 28*j**3 = 0. What is j?\nAnswer: -1\/3, 0, 2\/7, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.3 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7141 + 2403. What are the prime factors of a?\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-7 + (-10 - -7))*-3. Let g(x) = 10*x + 6. Let u be g(9). Let s = u - w. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-378)\/(-693))*22\/(-9)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**1)**10\/((f\/((f*f*f*f\/(f*(f\/f**(5\/6))\/f)*f)\/f))\/(f**(2\/17)*f)) assuming f is positive.\nAnswer: f**(2443\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j**3 + 1 - 7*j**3 + 6*j**3)*(3*j + 0*j - 4*j)*(17 + 4 - 32) in the form f*j + n*j**2 + c*j**3 + b + g*j**4 and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhmzzzzhhzmm. Give prob of sequence mhhm.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254513 is divided by 62572?\nAnswer: 4225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -892 - -1?\nAnswer: -891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41633243 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: In base 12, what is -602b - 2?\nAnswer: -6031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = p + 4*p. Let z be ((-2)\/p)\/((-22)\/12). Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -302 and 0.5.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -334638801 or -334638800?\nAnswer: -334638800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2715.\nAnswer: 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22353861*o**2 + 8630906*o wrt o.\nAnswer: -44707722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - 4*u + 4. Let i be p(2). Let x be (2*(-3)\/i)\/(15\/(-50)). Solve -2*t = x - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51699843649.56 - 10.\nAnswer: 51699843639.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2574227\/2300298 + 2\/54769. Calculate the common denominator of (214\/(-24))\/((-50)\/20) and u.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*h + 9. Let x(s) = s. Let j be x(h). Let y(b) = -b - 13. Let l be y(-15). What is the greatest common factor of j and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, v: 12}. Give prob of picking 4 v.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 3) in base 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 4*t - 4*t)*(-2*t + 2*t + t) - t**2 + 3*t**2 + 0*t**2 + 4*t**2 - t**2 - t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (62\/10)\/(14\/70)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 9*q + 1. Let b(m) = 15*m**2 - 6*m + 6*m - 14*m**2. What is p(b(c))?\nAnswer: 9*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -6 + 0*p - p**2 - 5\/3*p**3. Find the second derivative of d(t) wrt t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -3 - (-13 + 5). Let r be (-1 + 96)\/(3\/a). Let g be 8*(630\/56)\/9. Calculate the greatest common divisor of g and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3579 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81 + 73 + -1*389\/(-48))*-4?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 6. Let n = -127.4 + 127.9. What is the closest to r in -3, 0.3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) -2\/19 (c) 8 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + s + 717241, 2*s = 96*u - 91*u + 1793098. What is u rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/11, -2\/3, -2166 in descending order.\nAnswer: 8\/11, -2\/3, -2166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3764 rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -35, -3, -4, -450, 4, -1 in descending order.\nAnswer: 6, 4, -1, -3, -4, -35, -450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 333 (base 15) to base 6\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 943.3314 weeks in hours?\nAnswer: 158479.6752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 2. Let b(h) = -1. Let c(q) be the first derivative of 2*q**2 - 6*q + 34. Let v be c(2). Determine v*l(u) - 6*b(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 7990*o + 95741. What is h(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41963611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2465 and 435?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 i, 1 w, and 1 f when four letters picked without replacement from iwiiwffwwwwwwqqw.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5350 + 7096 + 9994 = 408*d for d.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -2, -159268, 9 in increasing order.\nAnswer: -159268, -2, 0, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 2708, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1029\/(-63))\/((20\/36)\/(2\/((-12)\/10))).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -159100 (base 11) to base 15.\nAnswer: -4cedb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 5*c + 5. Let m be k(5). Let i(v) be the second derivative of v**5\/20 - v**4\/12 - v**3 - 5*v**2\/2 + 17*v. Is i(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298*n - 416*n - 4812 = 88*n. Let q(i) = -7*i + 8. Let o(b) = 6*b - 11. Let g(t) = -1. Let a(d) = 4*g(d) - o(d). What is n*a(x) + 5*q(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/(-6))\/((-975)\/(-260)). Sort -1\/2, 0, 0.2, -0.2, y in decreasing order.\nAnswer: 0.2, 0, -0.2, y, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 49, 2, 4, 5\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*3\/(-150) + (-28 - 8096\/(-575))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.5, -4, 4, -1\/2, 11, 1\/9, -1820?\nAnswer: -1820","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 191 (b) -0.048304 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 0*k + 34\/3*k**3 + 37\/2*k**2 - 30. What is the second derivative of r(m) wrt m?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 162*m**2 + 156*m**2 - 78*m**2 - 25*m**2 in the form r*m + z*m**2 + f and give z.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238546, 477973, 717400, 956827?\nAnswer: 1196254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 2 (c) -0.023\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -3, 406079, 2 in increasing order.\nAnswer: -3, 1, 2, 5, 406079","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 + -209399.\nAnswer: -209398.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.7 * 0.33.\nAnswer: 3.861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 77*x - 93. Does 31 divide k(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(1 + 15\/(-9)). Let c be (-1)\/d - 12\/18. Which is bigger: -0.1 or c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*h + 3)*(3*h - 4*h + 6*h + (h - 10*h + 4*h)*(2 + 7 - 2)).\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**2 + 0 - 11*m**2 + 4 - 9 - 12*m**2 as n + u*m + a*m**2 and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 162 - 485?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34733 + 34821. Is g less than or equal to 86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 26 = r. Does 5 divide 0 - -3 - (19*-15)\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 2884.9235.\nAnswer: 1442.46175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 1 = -r + 28, 17 = 2*d + r. Let w(p) = p**2 - 18*p + 3. Let h be (-13)\/(-39)*108\/2. Let g be w(h). Solve s + d = g*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - (-1 + sqrt(363)) - (sqrt(3) + sqrt(48) + 0)) + ((sqrt(12) - (sqrt(12) + sqrt(24)\/sqrt(2))) + sqrt(12))\/sqrt(4) + 3 + -3)**2.\nAnswer: -10*sqrt(3) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 - 0 - 11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 583, 582, 581?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, b: 1, y: 1, l: 3, o: 5}. Give prob of sequence lyvb.\nAnswer: 3\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1799 + -1167. What is the greatest common divisor of u and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -9. What is the second derivative of 0*u**5 - 5*u + 3*u**5 - t*u**5 + u wrt u?\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {j: 11, n: 2, g: 2}?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 107*a - 114. Determine i(2).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s**2 + 12*s + 3. Let y(k) = -6*k**2 + 11*k + 2. Let h(n) = 5*a(n) - 6*y(n). Suppose 5 + 4 = 3*c. Determine h(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i = 5*s - 29, 3*i + 5*s = 19. Let t(y) = 17*y**2 - y + 3. What are the prime factors of t(i)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 15\/(-4)*(-560)\/21*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 226 in descending order.\nAnswer: 226, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*g + 22*g - 8*g + 2850. What is the least common multiple of 8 and g?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 259.6 * -14.\nAnswer: -3634.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 191 + 25. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukvgugisvuvuugv. Give prob of picking 1 g, 1 s, and 1 i.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114 - -134. Solve 4*x + x = f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 k when four letters picked without replacement from {m: 2, j: 3, k: 6, g: 1, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 - -92. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 58314 and 2215897\/38 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/39 + (-467)\/13 + 94\/1222.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 0*k**5 + 1\/150*k**6 - 18 + 0*k**3 - 1\/15*k**4 + k + 0*k**2. Suppose n(c) = 0. Calculate c.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1720 and 837210.\nAnswer: 3348840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**5 + 1008440*f**4 + 9076176*f**3 + 27228744*f**2 + 27228852*f.\nAnswer: -4*f*(f - 252119)*(f + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1175)\/(-125) + -24 + 15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 930 + 260 = 0. List the prime factors of i.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -25 (b) -0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 958621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**2 - 312880*y + 242529675 = 0. Calculate y.\nAnswer: 785, 61791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -17. Let o = g + 14. Solve 8*y + p = 5*y + 10, -4*p = -o*y + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**2\/15 - 98*m - 10780\/3 = 0.\nAnswer: -35, 770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 36*m. Let l(n) = -n**3 + 6*n**2 - 5*n. Let w be l(5). Suppose 13 = t + 3*u, t + w*t + 4*u = 17. Is z(t) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*t**3 - 8 - 2 - 160*t**2 - 191*t**3 + 10 wrt t.\nAnswer: -984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1489, 1414, 1337, 1258?\n\"Answer: -g**2 - 72*g + 1562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 2*g + 3. Let h be x(2). Which is the biggest value? (a) h (b) -2\/3 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 1690.\nAnswer: 8450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h - 5. Let k be g(-2). Suppose y + 3 = 2*l, -l + 4*y + y = -15. Which is greater: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(66\/12) - 837\/434.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*o - 52 = -218*o + 115*o - 2*k, k + 2*k - 49 = 38 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 110 = 5*t, 940*c - 938*c - 10 = 0 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 11*h**4 + 4*h - 35*h**4 + 10*h**4 - h**2 + 13*h**4 in the form b*h + l*h**4 + m*h**3 + r*h**2 + v and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -43*j**4\/24 + 65*j**3\/6 + 67*j**2\/2 + 2*j + 39. Let t(v) be the first derivative of l(v). Differentiate t(c) wrt c.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 - 3*r. Suppose 2*o = -5*c + 15, 5*o = 2*o + 5*c + 60. Let q be ((-70)\/o)\/(1\/3). Let s(h) = 5*h**2 + 7*h. Give q*u(p) - 6*s(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3842 + -3?\nAnswer: -3845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t - 2. Let y be q(-1). Suppose 2*i = 2*d - 4*d + 4, y = i - 4*d + 3. Let u = 2 + i. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u - 18*u = g - 9, 2*u - 19 = -5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -199 - -114. Let v = -25 - p. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -164*q**4 + 6*q + 0*q + 5*q + 155*q**4 wrt q?\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*16\/(-8))\/(8\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1099912338628 take away 5?\nAnswer: -1099912338633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*-1*sqrt(242))**2 + -4*(-1 + sqrt(242)) + sqrt(242) + (sqrt(242) - (-3 + (sqrt(242)*-1)**2 - sqrt(242)))*6 + 0.\nAnswer: 99*sqrt(2) + 4616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -233.737 - 1.563. Let t = f + 224. What is t rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + f - 1. Calculate w(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -733\/7 + 105. Let d = -1.8 - -2. What is the nearest to r in d, -1, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**2 + 10*g - 3. Let c be f(-5). Let k = c - 53. Calculate the greatest common divisor of k and 396.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43500638.\nAnswer: 2, 29, 787, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 3325.\nAnswer: 3320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4*sqrt(612)*-2*-1 + -3*(sqrt(612) + -1)*5) + -5)**2.\nAnswer: -60720*sqrt(17) + 5182993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8260 and 12862?\nAnswer: 900340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -2*s**3\/3 + 28*s + 10. Let h(q) = -462*q. Calculate h(k(j)).\nAnswer: 1848*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/35)\/((-75)\/(-125))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -2.4796\nAnswer: -12.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 19860684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 + -55 - (8 + (-1 - 2)) - -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 4*g**2 + 3*g + 4. Give j(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 49 (base 12) to base 8\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 276*v - 273.\nAnswer: -3*(v - 91)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -415*q**3 + 5*q**2 - 10*q - 5. Let c(s) = -415*s**3 + 4*s**2 - 8*s - 4. Give -5*c(z) + 4*o(z).\nAnswer: 415*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -14\/1833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 17*d**2 - 2*d + 29. Let g(l) = -8*l**2 + l - 13. Determine -9*g(w) - 4*z(w).\nAnswer: 4*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*f = 199*f - 128. Suppose -38 = -14*d + f*d. What is the common denominator of 7 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40.5534 and -1.5?\nAnswer: 60.8301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30758.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4500 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13979.9 - -14866. Let v = -848 + m. Let p = v - 38. Which is the biggest value? (a) 0.12 (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 2. Let o be z(-3). Let y(g) = g**3 + 0*g**3 - g + 2 + 4*g**2 - o*g + 4*g. Let c be (0 - -4)*(-1 - 0). Calculate y(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1080*d - 341. Is o(-24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/21 - (-120)\/21. Differentiate d + 5*b - 3 + 5 + 3*b with respect to b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37433127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 9*c - 32 = 0. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -0.3 (c) 4 (d) 14\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiqiqqi. What is prob of sequence qiq?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8100.566 centuries to months.\nAnswer: 9720679.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14086 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 34 - 170 = 0. Let f = -39 + y. What is the derivative of -8*t - f*t - 1 + t - 7 wrt t?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099314 to the power of 1\/2, to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*y - 4*z, -7*z - 10 = -4*y - 9*z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, b: 7, r: 1, i: 1, d: 2}. What is prob of sequence ro?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i - 13. Let m be z(-6). Suppose m + 5 = v. Let q = 46 - v. Does 24 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -13*k + 1079. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3111953 divided by -72371.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -14*i + 570. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 2 in descending order.\nAnswer: 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*a - 12556*t + 12558*t - 557, -2*a - 5*t = 76 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/13 + 2140*q\/13 - 2114.\nAnswer: -2*(q - 1057)*(q - 13)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 10:58 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3616*v - 173555. What is u(-48)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 18447218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 155642 - 155624. Let z = -4 + 40. What is the highest common factor of z and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 9 = -2*y, -59*x + 54*x = 5*y + 15. Solve 30*o = 29*o - x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6\/o)**(-13\/4)\/(o**9*o\/o**(-11\/5)) assuming o is positive.\nAnswer: o**(-569\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1050.98 to the nearest ten.\nAnswer: -1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1782 = 2*s. Suppose 820 = 7*g - s. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 9*w**2 + 16*w + 10. Suppose 46*c - 50*c - 3 = 5*p, 3*c + 2*p = -11. Give y(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 26 + 3*a**3 + 0*a**3.\nAnswer: 3*a**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 22 = -0. Solve 5*v = 5*f - 0*f - 15, -2*f = a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -l + 5*g, 4*g = 3 + 13. Sort l, -4, -5 in descending order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q**2 - 2440*q = 0. Calculate q.\nAnswer: 0, 1220\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31625 by 275.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/29 - 23\/174. Is -7 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -46.8, 5, 0.5, -2\/11.\nAnswer: -46.8, -2\/11, 0.2, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 283, 634, 1125, 1756?\nAnswer: 2527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**5\/6 + v**4\/2 - 5*v**3\/2 + 17*v**2\/6 - v = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -31223.45 - 3869577\nAnswer: -3900800.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -81\/724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 17\/6 (b) -25 (c) -3 (d) -5 (e) 1\/7 (f) -8 (g) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 3:46 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 135b (base 14) to base 11\nAnswer: 2623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 185*y + 5. Is n(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g*r**3 - 4*g*r**2 + 2*g*r*z - 2*g*r - 260*g + 18*r**4 + 46*r**2*z - 3*r*z + 2 wrt r.\nAnswer: 6*g*r - 8*g + 216*r**2 + 92*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -143586*o. Let t(k) = 43*k. Give i(t(p)).\nAnswer: -6174198*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*p + 40. Let y = -8 + p. Suppose c = i - 4*i + 16, 0 = -y*c - 4*i + 102. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 143848\/107868 - (-24)\/(-18). Let u = j + 242671\/143824. Calculate the common denominator of u and (2\/30)\/(4\/138).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -38*s. Let r(i) = -2. Let z = -113 - -111. Let o(l) = l + 7. Let f(h) = z*o(h) - 7*r(h). What is x(f(c))?\nAnswer: 76*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 14*x - 13*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyhi when four letters picked without replacement from {i: 2, y: 14, h: 1}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -53, -0.1, -0.3, 274 in decreasing order.\nAnswer: 274, 0.5, -0.1, -0.3, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*u + 2484 = 21*u. Let h(x) = -5*x**2 + 2*x + 4. Let c be h(-3). Is c smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4308 divided by 718\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)*1 - sqrt(567))\/sqrt(9) - sqrt(63))\/(5*sqrt(324) - sqrt(9)).\nAnswer: -sqrt(7)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 1244 = -154. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/6820 and 139\/4340?\nAnswer: 47740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b**2 + 3*b + 3. Let p(s) = 3*s**2 + s + 1. Give 17*p(x) - 6*u(x).\nAnswer: 3*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/6)\/((-716)\/(-60) + -12). Let w(u) be the third derivative of 0*u + 0 + 1\/3*u**4 - 3*u**2 - 1\/60*u**y - 3\/2*u**3. What is w(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -816 - -1657. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33726 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 396 = -3*z + 2*f, 3*f + 204 = -z. Let k = z - -196. Let y = 0.3 + 0.1. What is the closest to -0.2 in 2, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/((-105)\/(-18)))\/(2\/(-90)). Let w(b) = 9*b**2 + 3*b + 10. Let k be w(3). Suppose -2*z - 28 = -k. Calculate the highest common factor of z and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*h = 4. Suppose 152 = h*c + 48. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, h: 2}. What is prob of picking 2 p and 2 h?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10\/75 - 2*(-46)\/210\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -2*a + 137 - 89, -4*c + 4*a = -136 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 89*c - 112. Calculate the remainder when z(4) is divided by 237.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*b - 1566 = -94*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 432 divide 76032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -56066?\nAnswer: 9\/56066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)\/sqrt(4) + 5.\nAnswer: 5 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*y = 124 - 20, -4*n + 466 = 2*y. Let v = n + -1252\/11. Find h such that -2\/11*h**2 - 4\/11*h - v = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 447*g - 13050.\nAnswer: 3*(g - 174)*(g + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1810 - 3044. Do p and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 103\nAnswer: 20.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 6*i**2 - 8 - 13*i**2 + 25*i**2 + 13*i**2 + (i - 4*i + 5*i)*(4*i - i - i) - 4*i**2 - 2*i**2 + 4*i**2 - 5*i**2 + 7 - 7)*(-2*i - 2*i + i).\nAnswer: -84*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + (-1*(-1 + sqrt(108) + sqrt(108) - sqrt(108))**2 - (sqrt(108) + -1 + -5)**2).\nAnswer: -252 + 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(15\/(-12) + 2\/8). Suppose -2*d + 4*k = -18, 4*k - 7 + 19 = l. Calculate the remainder when 9 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 l when three letters picked without replacement from etaall.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -451*q - 881*q**2 + 451*q.\nAnswer: -881*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 416 and 2848?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/135 and 51\/40.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 165 - -18577?\nAnswer: 18731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 2*z + z)*(2 + 1 - 5) - 7720*z - 715 - 700 + 1415.\nAnswer: -7718*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + -0.2. Let d = p - -0.4000054. What is d rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let h = -7 - -7. What is the third biggest value in r, 2\/21, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/392 and 53\/257299.\nAnswer: 2058392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1 + 2 + 3 - 131666*n. Let w = 89 + -95. Let v be u(w). Round v to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 37*k**6\/30 + k**5\/4 + 26*k**4 - k - 84. What is the third derivative of b(c) wrt c?\nAnswer: 888*c + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s = 19*s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 11*g - 16*g = 29*a - 12, 18 = 3*a - 3*g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -46) + -39 + (9 - 0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k = 5, -4*g + 5*k = -7. Let h(u) = u**2 - 15*u + 41. Let c be h(4). Sort c, g, 4 in decreasing order.\nAnswer: 4, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/1744 and -37\/4796?\nAnswer: 19184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -126. Let g = i - -96. Sort 3, -4, g in ascending order.\nAnswer: -4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 14 = 2*l, 4*l + 5 = -a - 3. Suppose -a*g + 616 = 4*u, 4*u + 67 + 549 = 4*g. Calculate the greatest common factor of g and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 1, -0.2, -3\/4, -16, 0.8, 2\/319?\nAnswer: 2\/319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 9 = -5. Suppose -f + 377 = -h + 2*f, 1542 = -k*h - 5*f. What is h rounded to the nearest 10?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -251.4168, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 10*q**3 - 6*q**2 - 6*q + 14. Give w(-2).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -133, 2, -21.\nAnswer: -133, -21, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*x - 46 - 34 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 4867\/4 and 1217 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 111480.463 > 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3991.1 (b) -55 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 21 - 223 = -7*s. What is the least common multiple of s and 6?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2dd9 (base 16) to base 10.\nAnswer: 11737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -69 - (-2944 + 2967 + (-2 + -18 - -1))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dehhekgdehe. What is prob of picking 1 d and 1 k?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**4\/12 + 7*l**3\/6 + l**2\/2 + 7*l. Let m be -1 - (-9)\/(36\/(-16)). What is o(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**5 + c**5 + 4*c**5 + (-1 + 2 - 2)*(0*c**5 + 2*c**5 + c**5) - 7*c**5 + 5*c**5 - 4*c**5 + (-4*c + 4*c + 2*c**2)*(56 - 56 - 2*c**3).\nAnswer: -8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -355963 and 0.3438.\nAnswer: -355962.6562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -0.8, 2, 0.16, -28?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -112e9 - -8?\nAnswer: -112e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(9\/(-4))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (16 - (-11 + (-4 + -22 - -1)))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = x + 4*l - 5*l, -9 = -4*x + 3*l. What is the third derivative of x*z**6 + z**2 + 4*z**2 + 9*z**6 - z**2 wrt z?\nAnswer: 1080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147888 divided by -4108\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 24*d - 25. Let u be o(-23). Let s be 10*(7\/u + (-3 - -8)). Solve c + 2*t = -0*t - s, 20 = -c - 3*t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 27*g - 936. Let f be n(-20). Suppose -4*z + 20 = 0, z - 11 = -4*q + 2*z. Suppose q = 3*t + 1. Solve 3 = f*w - t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10014 - -13324?\nAnswer: 23343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31669480571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 667*c**2*f**2 - 781*c**2 + f**2 wrt f?\nAnswer: 1334*c**2*f + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -856270306*f**3 + 1329949331*f**2.\nAnswer: -5137621836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**5 - o**4 + 40639*o**2 + 87697*o?\nAnswer: 40*o**3 - 12*o**2 + 81278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -14*z + 63 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 16, -4 - 2 = -h - 4*x + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*j + w, -4*j - 13 = -3*j + 5*w. Suppose -2*d + 262 = 6*g, 149*g - 148*g - 585 = -5*d. Suppose 0 = -j*p - 216 + d. Is 1 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 5*v = -29, -51*v + 47*v = 4*n + 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 274*r + 349*r + 206*r as w*r + f and give w.\nAnswer: 829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-180))\/(45\/(-40)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 16 = 10*c. Let r = 75445\/61402 + -4\/2791. Calculate the common denominator of r and ((-580)\/(-192) + c)\/((-2)\/6).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(18) + sqrt(18) + sqrt(18)*-1 + -4) + 3 - ((sqrt(288) - -1*-1*sqrt(288)) + -2))**2.\nAnswer: -684*sqrt(2) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-18)*3*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 20*n**2 - 107*n + 454. Give i(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1009370160 and 720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 30*k**3 + 3*k**2 - 3*k + 5. Does 26 divide f(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**4\/4 + 2*d**3\/3 + 2*d + 1. Let o be k(-2). What is the third derivative of -j**2 - j**5 + 3*j**5 + 2*j**2 + 2*j**o wrt j?\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150711 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -5487.\nAnswer: 1\/1829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 - 78*r + 18. Is 9 a factor of q(29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*sqrt(85)\/sqrt(5)*-6.\nAnswer: -36*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 - 7207*a\/2 + 43004687\/4.\nAnswer: -(a - 2537)*(a + 16951)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -u + 5*l, 3*u + 4*l = 4*u + 5. Suppose 2*a - 4*q - 530 = 0, 2*a = -u*q + q + 518. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*v - 3473 = -2449 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -12. Is (69\/k - 3)*4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 1 - v + v**2)*(1 - 3 + 0)*(74*v**2 + 7*v**2 + 30*v**2) in the form u*v**2 + w*v**3 + h + z*v + y*v**4 and give y.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 157 + -290. Let y = j - -932\/7. Sort 0.04, y, 2 in decreasing order.\nAnswer: 2, y, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*925\/(2886\/78).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6800892 divided by 971556?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/27)\/(-4)*(-882)\/(-20874).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*sqrt(187)*1)\/(sqrt(880)\/sqrt(5) + sqrt(11) + 1*sqrt(704))*3 + 4.\nAnswer: 12*sqrt(17)\/13 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2. Let z = 125 - 89. Let k(n) = 10*n**2 + 1. Let a(p) = z*t(p) + 4*k(p). What is the derivative of a(b) wrt b?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + r - 2 + 0 + (0 - 2 + 1)*(5 - 14 + 105*r - 93*r) to q + y*r and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-2)*(-30)\/(-450)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 6. Let q be m(-6). Let p = 1389.92 - 1390. What is the second smallest value in q, p, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25308, -51740, -78172?\n\"Answer: -26432*b + 1124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 1533.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.12586 millilitres in litres?\nAnswer: 0.03012586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 18 - 5 = 0. Suppose 3*t - 15 = -2*t. Suppose 5*q = -t + y. What is the second smallest value in -2\/13, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6151*s**4 - 11*s**2 + 849*s - 1 + 3095*s**4 + 3077*s**4 wrt s?\nAnswer: 252*s**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*w - 6417, -3*w - 4815 = -30*n + 27*n. What is the highest common factor of n and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.332 - -0.065. Let k = 4.6 - 5. Let o = k + i. Round o to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Let t = a + -1.9. Let c = -7 - -10. Sort 2\/7, c, t in descending order.\nAnswer: c, 2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002931 rounded to 5 dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -2*g**3\/3 + 17*g**2\/2 - 3*g + 21. What is the least common multiple of d(6) and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3514\/15813)\/(((-3)\/(-6))\/((-18)\/(-1648)))\nAnswer: 1\/206","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/528 and -173\/9871344.\nAnswer: 108584784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276984 divided by 11541.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -130 - -131 - (-2 + 13).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 680924.2kg to milligrams.\nAnswer: 680924200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*3.7\nAnswer: 1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304921849?\nAnswer: 304921849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*a + 440*a - 282*a**2 - 215*a.\nAnswer: -282*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r**3 + 42*r**2 + 54*r + 1. Let p be b(-9). Solve 5*g - 3*v - 573 + 552 = 0, -v = g - p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (1 + -1)) + 2 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/4 - 3*o\/4 + 1\/2.\nAnswer: (o - 1)**2*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88\/7*i + 416\/7 - 4\/7*i**2.\nAnswer: -4*(i - 4)*(i + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12376)\/(-26656))\/(1\/(-56)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:18 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -659329395 divided by -1028595\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 5*w - 100, -269*w - 120 = -264*w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 145*q**3 + 20 - 282*q**3 + 2*q + 141*q**3 + 7*q to s + d*q**2 + j*q**3 + r*q and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(1\/5)*r)*r)**(-30))**(-1\/43)\/((r*r\/((r\/(r*r*r**(-5)*r))\/r)*r)\/(r\/(((r**(2\/9)\/r)\/r)\/r)))**(-38) assuming r is positive.\nAnswer: r**(-40634\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 238, -155, -2279, 4 in ascending order.\nAnswer: -2279, -155, 4, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, t: 9}. Give prob of sequence td.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/9)*v\/(v\/((v\/(v\/(v**(-3\/2)*v*v)))\/v)))\/(v\/(v*v\/(v\/(v**13\/v*v))*v*v*v)*v**(-5\/7)) assuming v is positive.\nAnswer: v**(2057\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.02, -4\/3, -8\/7, -23\/3, -2\/13?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-86)\/(-4) - (-3)\/6. Let w = 0.6547 + -0.1547. What is the third smallest value in w, 2\/9, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + a9?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7787 - 7765. Let c = 1751 - 1069. Calculate the greatest common factor of k and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, o: 7, g: 3}. What is prob of sequence llog?\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28 + -26 + 47 + -1. Is 16 a factor of 5\/((-25)\/a)*-20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -13?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320102267?\nAnswer: 103, 3107789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 512, 527, 568, 647, 776, 967, 1232, 1583?\n\"Answer: 2*o**3 + o**2 - 2*o + 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(486) - sqrt(6))\/(sqrt(243)*-2 + sqrt(243) + sqrt(3)).\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4467 - 4455) + (4\/14 - 0) + 37814\/(-3038)?\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 4, -3, -58 in ascending order.\nAnswer: -58, -3, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-464)\/(-12)*153\/6. Let z = -577 + t. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 0)*(-147)\/294?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72004579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6263 - -1.14. Let i = p + -0.0137. What is the third biggest value in 0.3, -0.7, i, -3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-261)\/(-42))*(-7)\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-30))\/(36*(-20)\/56160).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.6983ug in kilograms?\nAnswer: 0.0000002136983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68569, -80, -4 in descending order.\nAnswer: -4, -80, -68569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**2 + 2*g**2 + g**2 - 8*g**2 - 30*g**4 wrt g?\nAnswer: -720*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/8? (a) -0.04 (b) -0.3 (c) 1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 + -3)*6\/8)\/((-237)\/(-316))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 88, 169, 236, 283, 304?\n\"Answer: -s**3 - s**2 + 91*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39054 + -156217\/4. Which is the second biggest value? (a) -0.2 (b) 0 (c) w (d) -1 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f = -2*g + 300, 3*g = -6. Suppose m + f = 5*m. Suppose -12 = -5*y + 4*j + m, y - j = 11. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 7. Let o be 6\/(-18) - (-32)\/6. Let f be x(o). What is the remainder when (f\/(-4))\/((-5)\/(-560)) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 7 = -3*c, 7*p = 4*p - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 20 = 21 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35310291*k*o**2 + 120659*o**2 + o + 733 wrt k?\nAnswer: -35310291*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -966*d**4 - 1099*d - 428*d**4 + 2023*d**4 + 754*d**4 + 1874*d**4 wrt d.\nAnswer: 39084*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3578133 centimeters in micrometers?\nAnswer: 3578.133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/2*(11 + -12). Let p(b) = -b - 6. Determine p(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/8 - 55*l**2\/8 + 102*l - 495\/2.\nAnswer: (l - 30)*(l - 22)*(l - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -129*m + 136*m. Solve -5*p - 3*f - 10 = -9, -2 = m*p + 2*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003072322 to 6 dps.\nAnswer: 0.003072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c**3 + 2*c**2 - 65*c**3 + 3*c**2 - 5*c**3.\nAnswer: -58*c**3 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5\/5 - 81*x**4\/5 - 16656*x**3\/5 - 32616*x**2\/5 + 66576*x\/5 + 26352 = 0. What is x?\nAnswer: -61, -2, 2, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0599 - 0.2599. Which is the closest to -0.1? (a) v (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/48)\/(2\/(-4)). Which is the second smallest value? (a) 5 (b) -1\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 + 786*b - 29479. Give m(351).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 + 27*n**2 - 15*n - 14. Let v be s(-14). Suppose v = 3*w - w - 32. Solve -2*h = 3*j - w, 5*h - 19 = 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1147*v**3 + 57*v**2 + 3*v wrt v?\nAnswer: -6882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1564093159.\nAnswer: 1564093159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4)\/c)\/((c**(-6)\/c*c)\/c))**(-36) assuming c is positive.\nAnswer: c**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = d - 9, -2*b - 5 - 1 = 0. Suppose -3*a + 398 = -a - v, d = -5*a + v + 995. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000149878637 rounded to six decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from {t: 7, q: 3, j: 3, p: 4, k: 3}?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6*m - 2. Let n(x) = x - 1. What is -n(g) - r(g)?\nAnswer: 5*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-24) - (-135)\/20. Let l(s) = s**3 - 5*s**2 - 14*s + 3. Let c be l(h). Solve 0 = -k + 7 - c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0643931824854 and 0.0223.\nAnswer: -0.0420931824854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-2)\/20*126480\/(-33728)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a - 33. Let m be z(9). Let p = m + -33. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 47*y - 280. Let a be r(6). Suppose b + 3*u = 59, -a*u + 13 = 7. Calculate the lowest common multiple of 50 and b.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {s: 6, t: 3, b: 2, n: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.56 + -0.44. Let s = -11 - i. Are s and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 12) to base 14.\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooekea. What is prob of picking 1 e and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/3)*c*c)\/c**(2\/19))**(20\/11)\/((c*c**(-2))**(1\/26))**(-4\/5) assuming c is positive.\nAnswer: c**(188546\/40755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 + 5292*m**2 + 2*m**3 - 10*m**3 - 5292*m**2.\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-15)*7*14\/2. Let b = z - -52. Calculate the remainder when 44 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one fifth of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25643282?\nAnswer: 2, 7, 227, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2779475, 0, 15, 4.\nAnswer: -2779475, -1, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3472.97 + 3473. Which is the closest to -1\/3? (a) -1 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c + 3820 + 10834 = 0. Is 79 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or 2.45?\nAnswer: 2.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 12 = 0, -5*r - 5*z = -38 - 12. Calculate the smallest common multiple of 363\/77 + 4\/14 and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41814, -53406, -64998, -76590, -88182?\nAnswer: -99774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 0.011\nAnswer: -41.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 + 0*q**2 + 2*q**2 + (0*q - q - q)*(0*q + 4*q - 5*q) - 3*q**2 + 4*q**2 + q**2 in the form v*q + a*q**2 + t and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -373247, -374602, -375957, -377312?\n\"Answer: -1355*y - 371892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 2*h - 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9\/5, 1, -1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1565972*f**2 - 27319*f + 44 wrt f?\nAnswer: 3131944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 45082. Let t(y) = 17*y. Determine q(t(s)).\nAnswer: 17*s + 45082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -6. Suppose 4*f - c = 2*f. Let x(v) be the third derivative of -v**5\/60 + v**4\/8 + v**3\/2 + 5*v**2 - 20*v. Give x(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((0 - -2)\/2)\/(29\/(-116)). Let r(b) = b**3 + 10*b**2 + 9*b. Let d(v) = 2*v**3 + 19*v**2 + 17*v - 1. Let c(x) = 4*d(x) - 7*r(x). Give c(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-11 - 34 - -31).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -631402.79377061 + 634333.793757. Let i = t - 2931. What is i rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 0.3 (c) -3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1 - 27 - h**2 - 2 + 0*h + 16*h. Let b be z(14). Let o be (b - 22)\/(22\/(-187)). What is the highest common divisor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - b**2 - b**2)*(6*b - 4*b**3 + b**2 - 6*b) - 2*b**5 - b**5 + b**5.\nAnswer: 6*b**5 - 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from {m: 6, t: 1, q: 4, w: 3}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 65181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70119 or -70116?\nAnswer: -70116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - f = -0*f - 225, -15 = -3*f. Let u = 15 - o. Let w(t) = -5*t + 28. Let q be w(0). What is the greatest common factor of q and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*q**4 - 16446*q**2 - 5460583*q?\nAnswer: 72*q**2 - 32892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**5\/8 - 67071*u**4\/2 - 5997488799*u**3\/8 + 11996453199*u**2\/4 - 3749034156*u + 1499640492 = 0. Calculate u.\nAnswer: -44716, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/9 + 4670*d**2\/9 + 1552*d\/3 - 3112 = 0. Calculate d.\nAnswer: -2334, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1264 and -3?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -222*l**2 - 2*l**3 - 19*l - 218*l**2 + 445*l**2 + 7*l + 1. Let i(f) = 2*f**3 - 4*f**2 + 11*f - 1. Give -5*i(s) - 4*q(s).\nAnswer: -2*s**3 - 7*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4416aa5 (base 11) to base 10\nAnswer: 7754400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23b8 (base 14) in base 10?\nAnswer: 6238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4 = 0, 4*s - 666 = -5*w - 668 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 2\/21, -389, -1, 2, -0.5, 1\/40?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**2 - 2*h + 27. Let i(u) = -u**2 - u + 1. Determine 2*i(k) - p(k).\nAnswer: k**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*k = 113, 2*p - p = 5*k - 67. Let l = p + 63. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(72)\/sqrt(4))\/sqrt(6).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-18)*(12\/12)\/(4\/(-3))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3459, -1, -5, -17 in decreasing order.\nAnswer: 3459, -1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176 and 3328028.\nAnswer: 13312112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-152)\/216*-9*834 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 44*g - 193. Calculate the remainder when 11802 is divided by p(30).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 17*t**2 - 26*t - 22. Let y be v(-17). What is the third derivative of -2*a + 0*a - 5322*a**2 + 47*a**5 + y*a**2 wrt a?\nAnswer: 2820*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*(0 + -1) - 3. Suppose -142 + 30 - 100 = -106*p. Suppose -36 = -4*b + b. Solve -12 = l + 4*s, p*l - w*s = -4*s - b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/57 - -7006\/285. Let n = 439529\/12890 + 2\/1289. Let j = n - g. Which is smaller: 10 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u - 6. Let w be x(-11). Let z(p) = 15*p**2 + 2*p. Let n be z(-2). Let k = w + n. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34829095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -501 + -3 + (-3 - 3). Let v = -94 - c. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x**2 + 115*x + 117. Give t(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -747*v**2 - 13*v + 224. Let h be u(-16). Round h to the nearest one thousand.\nAnswer: -191000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-78)\/(-4) - (-3)\/(-2). Let b be (2 - 2)\/2 + w. Let x = b - -4. What is the remainder when 43 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r + 2. Calculate the smallest common multiple of 33\/3*r\/1 and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**4\/6 - w**3 - w**2. Suppose 2*i - 5*s = 4 - 9, -i + 5*s = 10. Determine m(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*a + q - 4 = 0, 4*a = 4*q - 16. Suppose 3*p + 366 = -a*p. Let m = p - -235. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99538?\nAnswer: 2, 157, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {z: 1, h: 2, r: 10, n: 4}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 3502?\nAnswer: 38522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21420031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 5*z + 3. Let a be r(2). Sort 4, a, 2, -5 in ascending order.\nAnswer: -5, a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5370*x**3 + 3222*x**2 - 1611*x + 1611. Let u(r) = 3*r**3 + 2*r**2 - r + 1. Determine 2*t(p) - 3222*u(p).\nAnswer: 1074*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 559971*x - 559779*x - 1728 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-128)\/(-18) - 127\/(51435\/450).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(56)\/(sqrt(24)\/sqrt(3)) + sqrt(7))*5 - (sqrt(1008) + 0 + sqrt(1008) + 2 + sqrt(1008) + sqrt(1008)))*-5.\nAnswer: -950*sqrt(7) - 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/(3\/(-5)*10\/4). Calculate the highest common factor of 56 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c**(2\/21)*c*c)\/(c*(c*c*c**(-13))\/c*c*c*c*c*c*c)*(c*(c*c**(10\/3)*c)\/c*c)\/(c\/(c**(-6\/7)\/c)) assuming c is positive.\nAnswer: c**(95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-4.33\nAnswer: -0.2598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31082?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1474 - 591553\nAnswer: -593027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2 = 2*t, -2*t - h + 2*h = -2. Suppose -9*s = 13*s - 726. Suppose 8*g + t = s. Solve -2*i + 3*q - 25 = 0, -g*q + 2*q = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -11, -2, 2\/11, -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*y + 8513 + 639 = 392*y. Suppose -3*k = -4*k + 8. Calculate the highest common factor of y and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 32 - -2?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1045*-0.5.\nAnswer: -522.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -21545444?\nAnswer: -21545435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20961.6 and -939.\nAnswer: -21900.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/1164945 and 26\/94455.\nAnswer: 3494835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -2 (c) 0.3 (d) -2\/9 (e) 20\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 278543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, z: 1, c: 1}. Give prob of picking 1 z and 1 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -0.8, 4 in descending order.\nAnswer: 4, -0.8, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -j + 4*z + 29, -5*z = j + 10. Suppose 0 = -4*u - 8, -8 = 8*p - j*p - u. Which is the third biggest value? (a) -0.4 (b) -4 (c) -0.09 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31883 - 0.0728.\nAnswer: -31883.0728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -32*g**3 - 14*g**2 + 10*g - 30. Let i be l(-12). Suppose 3*k + 37179 = -3*t - i, 3*t + k = -90303. Round t to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 605 - 599. Suppose 0 = p*v - 577 - 2837. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 16, 1, -2 in increasing order.\nAnswer: -4, -2, 0, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 127, 126?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 + 67. Let z(t) = -7*t - 3 + 7 - 2 - t**2 - 7. Calculate z(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 - 5*r**2 + 7*r**2 + 12*r**3 to the form s + z*r**3 + h*r + t*r**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppvprphhiv. Give prob of picking 1 v and 1 h.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(3\/2))\/m**13 assuming m is positive.\nAnswer: m**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -190 + 1712\/9. What is the nearest to -2\/3 in m, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 9*g - 8. Let s be (3\/(-6))\/(g\/(-28)). Let f(k) = k**2 - 6*k - 6. Determine f(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 30 - 9 + k + 3*k + 6.\nAnswer: -k**2 + 4*k + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 525868.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 771*f**2 - 355*f**2 - 414*f**2 + 2.\nAnswer: 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -2\/259, -144\/71?\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 28462.\nAnswer: 56924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * -14.7\nAnswer: 20.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-315)*10\/(-2))\/(-1).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 49*t + 14. Let d(p) = -5*p - 3. Let j(m) = 6*m + 3. Let b(r) = 4*d(r) + 5*j(r). Let w(x) = -14*b(x) + 3*i(x). Let v(q) = 2*q**2. Determine w(v(g)).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 75 and -2\/81 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2691\/162)\/(-13))\/(-1*(-8)\/(-48)).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -2\/5 (c) -1904 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-63)\/4*-2*(-56)\/42. Let c be 103\/(((-12)\/k)\/((-12)\/(-14))). Let f = c - 60. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -764161676 + -5?\nAnswer: -764161703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - -7 - (-2 - (5 - 21)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 145754178 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*z - 1388*z + 60*z - 183372 = 0 for z.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r - 77. Let c(m) = -3*m - 10*m - 4*m + 27*m. Determine u(c(b)).\nAnswer: -20*b - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258447 divided by 3.\nAnswer: -86149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 8*n**2 + n + 10. Let y be w(-8). Suppose 30 - 16 = 2*s. What is the derivative of -2 + 2 + 3*o**3 - s*o**3 + y wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672 is divided by 68?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12875, 25768, 38661, 51554, 64447, 77340?\n\"Answer: 12893*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.4455 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -111 - -129. Let x(n) = -23*n - z*n + 33*n. Let w(k) = -k. Determine 6*w(a) - x(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -21*o. Suppose 48*d = 27*d. Let v(i) be the third derivative of -5*i**2 + 0*i + 0*i**3 + 1\/12*i**4 + d. Determine v(m(t)).\nAnswer: -42*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258798679?\nAnswer: 139, 1861861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2642141 weeks to minutes.\nAnswer: 2663.278128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6520743, -6520764, -6520785?\n\"Answer: -21*u - 6520722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j, 88 = -8*x - 3810*j + 3808*j for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -319c6?\nAnswer: 319c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1482*r - 1457*r - 193974 = 0 for r.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - -6*sqrt(684)) + (sqrt(171)\/sqrt(3))\/sqrt(3))*3.\nAnswer: 114*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 z, and 1 u when three letters picked without replacement from {z: 3, t: 2, u: 5}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*d - 2. Let s be 3\/((-75)\/2)*-20. Which is greater: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 6) in base 3?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 2486?\nAnswer: 7\/1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29897543?\nAnswer: 13, 17, 135283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6385390559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 408.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 3*a - 40. Let k = -1 + -3. Let l = k - a. Solve -l = w + w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y + 10. Let u(h) = 3*h + 15. Let v(s) = 7*l(s) - 5*u(s). What is v(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 252 - 132. Let o = 128 - t. List the prime factors of 241 - (-1)\/(2 + (-14)\/o).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 1.4.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1399 divided by -23888.\nAnswer: 1399\/23888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/1)\/(90\/(-30))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + (-2)\/(-2))\/((20 + 1)*54192\/(-20322))?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, t: 2, g: 1, o: 1, k: 2, d: 1}. Give prob of picking 1 k, 1 g, and 1 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -787 = -2*a - 241. Let z = a + -94. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -x + g - 15, -2*x - 24 = -3*g. Let b be x\/(3\/(-4)*2). Let m = b + -2. Let n(q) = q**2 - 5*q - 1. Determine n(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124754 divided by 38.\nAnswer: 3283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -43*l**2 - 9. Let g be p(5). Let b = g + -16. Round b to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -78*a. Let x(n) = 3911*n + 3925*n - 7820*n. Calculate x(p(h)).\nAnswer: -1248*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6391.\nAnswer: 7, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 - 2*c**2 - 52389358 + 52389358 + 2*c**3 + 2*c**2.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 10*d + 16*d = 0. Let b(k) = k**3 + 4*k**2 - 20*k + 10. Let u be b(-7). Solve -u*g - 2*g - y + 30 = d, -5*g + 35 = 2*y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 117 and 118 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**4\/12 + o. Let b(v) be the first derivative of -3\/2*v**2 + 0*v + 2. Calculate b(h(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**5\/10 + y**4\/6 - 2*y**3\/3 - 4*y. Factor t(p).\nAnswer: 2*p*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*p - 133 - 227. Solve -5*q + p = 34 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3032 - 1473 - 92*y + 525*y - 1559.\nAnswer: 433*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 64 = 4*t, -t - o + 8 = -0*o. Let v be (2\/4)\/((-3)\/t). Let z = 1 - v. Solve 0 = 2*q + z*s + 2 + 8, -2*s - 12 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (155\/(-341))\/((-4)\/22)*4\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 168031645 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1830 - 799. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 209993.21157 to the nearest 1000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**3 - x**2. Let a(l) = l**2 - l - l**2 + 5 + l**2 - 4. Let o be a(0). Determine y(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 7*b - 3*b)*(-2 + 2*b + 2) - 388 + 464*b**2 + 221 + 170.\nAnswer: 470*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*d - 165*d + 440 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 2*t = -3*p - 11922, 2*t = p - 2382. Suppose 9*r = 17*r + p. Calculate the common denominator of 83\/8 and 3\/(-6)*r\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2143*a + 2139*a + 5*j = -203, 4*j + 529 = 11*a for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -85*x + 360. Let h be c(2). Calculate the highest common factor of h and 1102.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 121. Let u be 17136\/5616 - (-4)\/(-78). What is the greatest common divisor of r and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o + 388*o + 25*o = 11610 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111111011111 (base 2) to base 11.\nAnswer: 3064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 5, d: 7}. Give prob of picking 1 u and 1 d.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203952921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3872 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 39. Determine z(-24).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 168 - 258. Calculate the common denominator of 46\/3 and (15\/x)\/(1\/5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 - 31 - 109)*(-3*a**3 + 0 + 0) + 4*a**3 - 5*a**3 + 0*a**3 as c*a**3 + s + o*a**2 + y*a and give c.\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - 3*l + l + (0*l + 0*l - l)*(1 + 7 + 1).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c + 70*c = 6076874. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/187082 and 41\/38346?\nAnswer: 6173706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*y, -b = 3*b - 4*y + 24. Let r be 21\/b*1*-1. Solve -w - 7 = 4*v, -8*v - 8 = -r*v + w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, 5, -4, 0.5, -216 in decreasing order.\nAnswer: 5, 0.5, -4, -61, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 6*x - 3*x. Let f(v) = x*v + 3 - 4*v - 12. Let i be f(8). Solve 0 = -i*g + 2*g + 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 3*v + 10305654*v**3 - 10305657*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/5 + -7)*8\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -19, -9 in ascending order.\nAnswer: -19, -9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50690576?\nAnswer: 2, 223, 14207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one halves of a century in years?\nAnswer: 4550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y + 2. Let x be a(2). Let z = -8 - -12. What is the highest common divisor of x and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 554520301?\nAnswer: 554520303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 12:47 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 339*z - 302. Calculate d(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85338?\nAnswer: 2, 3, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 236 + -239. Let c(y) be the third derivative of -y**5\/30 - y**3\/2 + 207*y**2. What is c(v)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5241055, 5241058, 5241061?\n\"Answer: 3*a + 5241052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -73. Let l = -34 + k. Which is the third smallest value? (a) -2\/19 (b) l (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3871\/98*(0 + -2))\/(-20 + 21).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**2 + 5*s + 2. Let p(f) = 9*f**2 + 9*f + 3. Calculate -5*k(h) + 3*p(h).\nAnswer: 2*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -62*n + 58*n - 2*f, -4 = -2*n + 2*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 7 - (-10 + (18 - 4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.08 + -0.12. Let q = -2.526 - -0.926. Let n = k - q. What is the second smallest value in -0.1, n, 0.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 606 + 7234. What is o rounded to the nearest one hundred?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1246329 divided by 813.\nAnswer: -1533","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -8 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 4:14 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.097, -1\/9, -17, 3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4*5.03\nAnswer: 20.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55\/2 + 377\/14. Which is the nearest to -6? (a) 0 (b) 3\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, j: 5}. Give prob of sequence aj.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 13 = -17. Let d = 3 - -3. Let t(k) = k**3 + k**2 + 12. Let g be t(0). Solve g = d*z - y*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 146 - 75. Suppose 33*a - 3*c - 48 = 29*a, -a + 13 = -c. Calculate the remainder when d is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 5)*(-16*z + 7 - 7) to c*z + d and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/74701?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - p)*(0 + 2*p + 0) + (-5*p + 0*p + 3*p)*(3010*p - 1206*p - 949*p) in the form r*p + c*p**2 + s and give c.\nAnswer: -1712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 45455835 + -1000672091\/22. Let g = -29255 - m. Find the common denominator of g and (-106)\/16 + -3 - -2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/30 and -67\/870.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**4*o**2 - 32*c**2*o**3 - c*o**3 + 21*c*o wrt c?\nAnswer: 12*c**2*o**2 - 64*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.9926278 nanograms?\nAnswer: 0.0000009926278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 802\/(-38) - ((-288)\/1344 + (-29)\/(-266))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**2\/2 + 1. Let w(g) = -2*g**2 + 0*g**2 - 4*g**2 - g**2. Let i(m) = 10*m**2. Let t(b) = 5*i(b) + 7*w(b). What is o(t(h))?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -0.3, 3, -1.\nAnswer: -1, -0.3, 0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94\/117 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/6 - 115\/30. Which is the nearest to -0.1? (a) y (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435308 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 60*v - 33*v - v**3 - 34*v - 121. What is the units digit of s(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/3, -5 in descending order.\nAnswer: -0.1, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 f, and 1 v when three letters picked without replacement from {v: 1, o: 4, b: 3, f: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + c. Let m(f) = 2*f**4 - 1638*f**3 - 4908*f**2 - 4906*f - 1638. Let i(o) = -m(o) + 6*x(o). Find j such that i(j) = 0.\nAnswer: -1, 819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1962720 to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and -8.33?\nAnswer: -9.163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1708, -3416, -5122, -6826, -8528, -10228, -11926?\nAnswer: -13622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*m + 6 - 22, -20 = -4*k + 5*m. Solve k = -2*b + b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.86 - 0.16. Let s = -8 + y. Let f = -0.05 - 3.95. Sort f, -1, s.\nAnswer: f, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**13\/((q\/q**(4\/19))\/q) assuming q is positive.\nAnswer: q**(251\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 4, -60\/17, -5, 1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -120a (base 16) in base 10?\nAnswer: -4618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 - 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000936511 rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 415 = 25. Let r(u) = u**3 - 32*u**2 - 2*u - 10. Let c be r(0). Let f = z + c. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 65*y + 2079. Let k be v(-32). Suppose -8*f = -10*f + 6. Which is the closest to -1? (a) 1\/11 (b) f (c) k (d) 55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.51 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340931330.\nAnswer: 2, 5, 34093133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 269052943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130309 is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -4*i, 2*p + 8*i = 10*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3)*((-2*j - 4 + 4)*(-2 + 2*j + 2) - j**2 + 1 - 1) to i + u*j**2 + l*j and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(228)*-1 - sqrt(228))*-5*4)\/(sqrt(75) + -4*(sqrt(75) - 3*sqrt(75)) - (-5*(-2*sqrt(75) - sqrt(75)) - sqrt(75))).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -1 - (0 + -4 - -4). Let s be (41\/(-5) + 1 - j)*-20. Calculate the greatest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 3*k, 4*i - 5*k - 6 + 15 = 0. Which is greater: -2\/3 or i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -15399*z**3 + 4*z**2 + 34*z + 17. Let x(g) = 5137*g**3 - 2*g**2 - 12*g - 6. Let p(c) = 3*a(c) + 8*x(c). What is the third derivative of p(y) wrt y?\nAnswer: -30606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**5\/30 - 2*o**2. Let l(y) = 5*y**2. Give l(w(v)).\nAnswer: 20*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 330 (base 12) to base 16\nAnswer: 1d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 3:56 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 443 - -5112?\nAnswer: 5555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-92)\/9 - (-4)\/18. Let p(z) = z**2 + 8*z - 9. What is the smallest common multiple of 6 and p(u)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -2*z**2 - 50*z + 180. Give j(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 63, 201, 477, 939?\nAnswer: 1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and 1555352590.\nAnswer: 1555352598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4234334 (base 5) in base 15?\nAnswer: -1617e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 35*c - 1. Let j(q) = -882*q. Calculate -j(m) - 4*x(m).\nAnswer: 742*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/((-77)\/140) - -4. Suppose -8*l + 160 = w*l. Solve l*t + 4*s = -18, 7 - 3 = 3*t - 5*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -17772\/875 and -19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(110))\/sqrt(5))\/((sqrt(88)*2)\/sqrt(8)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 3 - 1)*(-28 + 3*d + 28) - 12 + d - 2 + 13)*(-4 + 3 + 9) to c*d + w and give c.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, -4, -1\/11?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 0, -l - 4*u + 5*u = -253. Calculate the highest common divisor of l and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*(-2)\/(-18)*(4223\/82 + -50).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b33 + -1c?\nAnswer: 1b17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(3\/3))\/(138\/(-4))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (29 - 24) + (0 - -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4 + 1 = 0. Solve -k = -s*k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*c**2 - 136*c**2 + 113*c**2 + 1038 as j*c**2 + x + a*c and give x.\nAnswer: 1038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15456 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 341139\/61 - 5592. Calculate the common denominator of 44\/3 and x.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 27*d**2 - 13*d + 200. Does 45 divide c(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**3 - 3054342*s**2 + 6108678*s - 3054338 = 0?\nAnswer: 1, 1527169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 595 + -601. Let j be ((-4)\/v)\/(18\/(-81)). Sort 2, j, 3, 1 in descending order.\nAnswer: 3, 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from pttsbppqpqpp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*s - 29 = 43, -x = -s - 20. Factor -24 + x*h**2 - 20*h + 25*h**2 + 4*h**3 + 18*h**2 - 51*h**2.\nAnswer: 4*(h - 2)*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*p - 19. Suppose -p*c + 4*c + 475 = 0. Suppose 4*d = -2*n + c - 3, 4*n - 206 = 3*d. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30502.6 + -30503. Sort l, 0.1, 4, -9.\nAnswer: -9, l, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100111111011 (base 2) in base 6?\nAnswer: 223403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 112*d**2 - 109*d - 225. Let w be o(111). What is the smallest value in 1\/3, 173, -0.1, 2\/9, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, 0.01, -52\/5 in increasing order.\nAnswer: -52\/5, -1.2, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 5*q**2 - 4*q + 3. Let b = 59 - 56. Let m be r(b). Suppose m*u = u - 360. Calculate the common denominator of -18\/7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*w**2 - 5*w + 123 wrt w.\nAnswer: 8*w - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 3, 5, 9, 15, 23, 33?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29241300023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b1 + 1d?\nAnswer: ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044 times -693940.5?\nAnswer: -30533.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 225 or 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 17. Let m(i) = 4*i**2 + 33*i - 955. Let k(l) = -5*c(l) - m(l). Factor k(r).\nAnswer: -4*(r - 13)*(r + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = -29*q + 317 + 680 + 187 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3445, 3393, 3341?\nAnswer: 3289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 36\/8 + (-7)\/14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -6059*l**4\/4 + 2719*l**3\/3 - 13932. What is the third derivative of d(g) wrt g?\nAnswer: -36354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = -7*v + 173. Suppose v*o - 2060 = 2*f, 8*f - 5*f = -2*o + 843. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/32 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, 5\/8, -5, -0.4.\nAnswer: -5, -0.4, 5\/8, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**3 + v**2 + 4*v - 5. Suppose 7 = -3*z + 13. Calculate the remainder when k(z) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3654570 times 2\nAnswer: 7309140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -9*z - 8*z - z**2 + 11 - 20*z**2 - 9*z. Let t(o) = 4*o**2 + 5*o - 2. Let m(c) = 2*a(c) + 11*t(c). What is the second derivative of m(b) wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*j - 3 = 0, 0 = -5*j + 32 - 7. Let o(q) = q + 6. What is the remainder when (a\/12)\/(2\/(-8)) is divided by o(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853113 is divided by 80.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, y: 1, n: 1, z: 2, b: 1}. Give prob of sequence nz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -1\/3 (b) 1525\/7 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/252064 and -49\/13422408?\nAnswer: 53689632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 o when three letters picked without replacement from {q: 2, o: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4447414.3 days?\nAnswer: 635344.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2898949.1+-0.4\nAnswer: 2898948.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2917\/4 + 63\/84?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 11 = 4*w, 16 = w - 5*w. Let b(m) = p*m - 1 - 2*m**2 - 2 + 0*m**2. Suppose -5*f - 5*i + 10 = 0, -4*f + 3*i + 7 + 8 = 0. Calculate b(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06701 - 19.78201. Let z = 0.945 - s. Let f = z + -22. Round f to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-50))\/((-10)\/25)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212122 + 12?\nAnswer: 212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/(m\/(m**(-4\/7)\/m)))**(-23) assuming m is positive.\nAnswer: m**(253\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-28)*28\/(-72)*-393 and -27\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*w - 16, -4*w = -0*n - 5*n - 11. Suppose w*a = 60 - 4. Calculate the remainder when 53 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 191699 + -270169. What is x rounded to the nearest 1000?\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1378 - 205 - 349 - 1197 - 542)*(2*o - 6*o + 3*o).\nAnswer: 3671*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -141*g - 5. Let x(m) = -24*m**2. What is a(x(w))?\nAnswer: 3384*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -56 (c) -2\/93 (d) -4 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4*6\/5*109. Let k = u - 65. Is 10 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*u = y - 569, -3*y + 3*u = -585. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1872) - (sqrt(1872) + -1*sqrt(1872))) + sqrt(1872) + sqrt(1872))*1)**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -32934, -5 in increasing order.\nAnswer: -32934, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(15)\/(sqrt(40)\/sqrt(8))) + (sqrt(704) - (-3*sqrt(704) + 4)) + -5)**2.\nAnswer: -594*sqrt(11) + 12060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12147466, -24294937, -36442408, -48589879, -60737350?\n\"Answer: -12147471*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85)\/10 + 5436\/504.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, r: 10, v: 2}. Give prob of picking 2 r and 2 g.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5 - 10908*g**4 - 14818418*g**3 + 149003280*g**2 - 373191200*g.\nAnswer: -2*g*(g - 5)**2*(g + 2732)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(81*82\/19926)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*m + 4, 5*w + 2 = -8*m + 6*m. Sort 8, 2\/27, -5, w in descending order.\nAnswer: 8, 2\/27, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9120615.\nAnswer: 3, 5, 7, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**7))\/n**(-9))**(1\/12)\/(((n\/(n**(-1\/4)*n*n))\/n)**(-9\/2)*n*n**(5\/3)*n**4\/n) assuming n is positive.\nAnswer: n**(-107\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*w = 1160, 2*w - 571 = 2*g + 3*w. Let q be -1*(1 - 0)*-470. Let b = g + q. Is 42 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - c - c + 13 = 0, -23 = -4*m + 3*c. Solve 0 = m*q + 6 + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 3.99. Let h = -75 + 73. What is the second biggest value in h, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 8*h**2 - 2*h - 12. Let g be z(-8). Suppose -g*b - f + 78 = -4*f, -2*b + 4*f = -34. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14188355840 rounded to the nearest 1000000?\nAnswer: 14188000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113322 (base 4) to base 7.\nAnswer: 4314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0991 or 6?\nAnswer: 0.0991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 858 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m**3 + 4*m**2 - 2*m + 5. Is n(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (135\/165)\/((-180)\/495).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -4.2 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108795814 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvov when four letters picked without replacement from {v: 11, o: 9}.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(1872) + (sqrt(1872) - sqrt(1872)*-2) + sqrt(1872)) - (sqrt(1872)*1 + 5)) + 4)**2.\nAnswer: -576*sqrt(13) + 1078273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -73*y + 49. Let b be t(-13). Is b\/2 + (7 - 4) + 2 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-825))\/((-40)\/(-1800))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 2*x**2 + 5. Let j(z) be the first derivative of -z**4\/4 - z**3\/3 + 58. What is -2*j(n) - q(n)?\nAnswer: n**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-7) + 16\/56. Solve 5*m = -x*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26579 - 25864. Calculate the remainder when i is divided by 174.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4241317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 2*p + 2*p)*(-1979 - 1901 + 556 + 500 - 4235).\nAnswer: -7059*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 60\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-15) + (-37)\/(-5). Let u = g - 5. Which is smaller: u or 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9849715 is divided by 579395.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25163119025*d**2 - 17*d**3 + 25163119025*d**2 + 8*d**3 + 10*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 187 + -566\/3. What is the second biggest value in 5, -3, f, 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 3*m + 4*o + 624, -3*m = -2*o - 469. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/s**3)\/s))\/(s*s\/(((s**16*s)\/s)\/s*s)))**(2\/11) assuming s is positive.\nAnswer: s**(36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 98\/6*1 - (-1)\/(-3). Suppose -2*t + t + 10 = 3*k, 2*k = 4*t + z. Suppose 0 = -k*s + 184 + 844. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 926 is divided by 305.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5006900311 and 4.\nAnswer: 3.4993099689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**3 - 5*h**2 - 6*h - 3. Let c(w) = 5*w**3 + 4*w**2 + 5*w + 3. What is -6*c(p) - 5*x(p)?\nAnswer: -10*p**3 + p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/(-11)*(-778)\/(-2). Sort j, -4, -3 in decreasing order.\nAnswer: j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -878*z**2. Let l(p) = 32*p**2. Calculate l(t(a)).\nAnswer: 24668288*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 11*l**2 + 7*l + 5. Let c be n(-4). Suppose -27 = 2*u + c. Let x = u + 82. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 7:45 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*w = -391 - 244 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16, -69, 17, 1 in increasing order.\nAnswer: -69, -3, 1, 16, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.224 + -0.966. Let s = 14 + i. What is s rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 173 - 861\/5. Which is greater: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (105\/(-25))\/(0 + (-1)\/5). Is 3 a factor of ((-9)\/(-5))\/(t\/70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/21 (b) -1 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000111 (base 2) to base 12.\nAnswer: -19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/24 and 113\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 117\/7 + 3\/7*i**2 + 48\/7*i = 0.\nAnswer: -13, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556 + 16*b - 1109 + 550.\nAnswer: 16*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 259950367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50612625 to the power of 1\/2, to the nearest integer?\nAnswer: 7114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611874?\nAnswer: 2, 3, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**3 - 5*i**2 - 2650*i**4 + 13*i**2 + 7941*i**4 + 2*i - 2642*i**4 - 2644*i**4 as v*i**3 + y*i**4 + r + f*i + c*i**2 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 24936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1164127595 to the nearest one hundred thousand.\nAnswer: 1164100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.6 - -1.3. Let p = l - -1. Let f = -0.29999875 - p. Round f to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*i - 8798 = -4*q - 65*i, 0 = -2*q - i + 4394. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -388, -345, -1, -34 in descending order.\nAnswer: -1, -34, -345, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209201*b - 418500*b + 209304*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -284 by 142.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*i - 42 = 2*u, -4*i - 12 = 2*u. Sort 5, u, 0, 1 in increasing order.\nAnswer: u, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9058 - 9062. Let n(j) = 6*j**3 - 4*j**2. Let d(q) = 2*q**2. Calculate c*d(l) - 2*n(l).\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 347*h**4 - 5*h**2 - 5*h - 92. Let b(y) = -175*y**4 + 2*y**2 + 2*y + 46. Let c(m) = -5*b(m) - 2*x(m). Differentiate c(z) with respect to z.\nAnswer: 724*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in 5, 118470, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220 = 2689*d - 2744*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*10\/40*28\/(-21)*(-8)\/608.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6426 - 4?\nAnswer: -6431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*sqrt(275))**2.\nAnswer: 80*sqrt(11) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h. Let p(z) = z**2 + 9*z - 20. Suppose 92 = -7*a + 15. Let i be p(a). Let d(v) = -v + 10*v**2 + v - v**i. Calculate d(r(c)).\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4 - 15177136*h**3 - 28793075905164*h**2 + 403105293714032*h - 1410871130882738 = 0. What is h?\nAnswer: -3794291, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 135664*q + 4601180224.\nAnswer: (q + 67832)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 395*a**2 + 202*a + 10. Does 3 divide s(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29056*p - 7077 + 477 = -28856*p for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/152 - (-5)\/(-280)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*k + 390 - 372 = 0, -36 = 4*q - 4*k for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 74 in -1\/4, -0.16, 1814?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 65*x**3 + 11*x**2 - 22*x - 8. Let r(j) = -22*j**3 - 4*j**2 + 8*j + 3. What is 11*r(i) + 4*w(i)?\nAnswer: 18*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 316\/(-374) - (-582)\/4947.\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 1758 = 1167. Let w(a) = -a**2 - 8*a + 6. Let i be w(-8). Suppose i*c - 11*c + t = 0. What are the prime factors of c?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 8*d**2 + 5*d - 6. Let x be g(-9). Suppose -6*z + z + x = 0. Find the common denominator of 23\/5 and (2\/z)\/(6\/420).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 161\/7 - (-1440)\/240.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46263548?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105 + 221. Calculate the remainder when s is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfg when three letters picked without replacement from {g: 1, j: 1, r: 2, f: 1, p: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33665 or -33324?\nAnswer: -33665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4864 and 18848?\nAnswer: 150784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 153970123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -29, -10745, -2\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 0.64, 1.02 in decreasing order.\nAnswer: 1.02, 0.64, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1409127*p*x + 3355513*p + 2*x**2 wrt x?\nAnswer: 1409127*p + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, w: 3, j: 3}. Give prob of picking 3 h.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68\/15 + 13\/3. Let h = -3.04 - -2.84. Which is the nearest to h? (a) t (b) 2\/3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 19*l + 7. Put 11, l, -4, -3 in decreasing order.\nAnswer: 11, l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1476\/4182 + 23\/(-17). Which is bigger: 12\/2005 or u?\nAnswer: 12\/2005","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f**2 + 1 - 1)*(0*f + 3*f - 5*f) to q*f**3 + g*f**2 + u + b*f and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - 14*j - 8. Let k be d(-6). Solve 17 = k*q + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00746059894 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16, 6, -10, -32, -60?\n\"Answer: -3*q**2 - q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 2\/13, -24\/7, 4, -0.0223, -0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -11176.4329 to the nearest one hundred.\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**4\/6 + 2*z**3\/3 - z**2\/2 + 4*z. Let f(c) = -10*c**2 + 21*c - 5. Determine 2*f(q) - 11*r(q).\nAnswer: 2*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6 + 20 = 0. Suppose 2 = 2*r - 4. Suppose -4*v = -r*b - 89, v = 4*v + 3*b - 93. What is the remainder when v is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 331085 - 184?\nAnswer: 330801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 10*w**2 + 6*w + 3. Let z(n) = -n**2 + 3*n + 2. Let s be 40\/4*(-2)\/(-4). Let q be z(s). Let p be v(q). Round p to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1338 * 0.4\nAnswer: 0.05352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*n - 23*n = 2860. Calculate the remainder when 255 is divided by n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1729*o = -275*o - 94510 for o.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105289, -421161, -947623, -1684675, -2632317, -3790549, -5159371?\nAnswer: -6738783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 124 - 121. Suppose -13*r - p = -14*r. Suppose 4*i = 5*s - 44, 4*s + 3*i - 41 = 19. What is the remainder when s is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvwzyy. Give prob of sequence zzwy.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*m + 76*m - 9 = -72*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 13*n + 80. Calculate s(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-297542)\/56*4\/(-5). Let v = f - 4229. Factor -36\/5*c**3 + 0 - v*c**2 + 0*c - 3\/5*c**4.\nAnswer: -3*c**2*(c + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*v**3 - 65 + 33*v**3 + 107 + 76 + 21*v**4 wrt v.\nAnswer: 84*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000398698 to 6 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(396))**2 + sqrt(396).\nAnswer: 66*sqrt(11) + 1985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -11*i**3 + 3*i**2 - 20*i - 11. Suppose 56 + 21 = -11*z. Is b(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 32*q + 38. Give u(8).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**3\/6 + 9*r**2\/2 - 81*r\/2 - 17. Factor i(k).\nAnswer: -(k - 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o - 21. Let c(s) = -2*s + 10. Let f(m) = -9*c(m) - 4*w(m). Differentiate f(r) with respect to r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3140322, 3140316, 3140298, 3140262, 3140202, 3140112?\n\"Answer: -y**3 + y + 3140322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x = 18*x + 51*x - 224 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -273*k. Let l(v) = 13*v. Give 104*l(f) + 5*m(f).\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 0.1, -2\/7, -2\/13, 12\/4925, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) -4 (c) 62 (d) -0.289\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/8)\/r**11)\/(r\/r**(10\/3)*r**(-10)) assuming r is positive.\nAnswer: r**(41\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*-3*6\/(-108).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 31. Let m = 4 - a. Suppose -42 = -2*t - 0*t - d, -4*d = -m. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 898, 898, 912, 946, 1006?\nAnswer: 1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-4)*(-4)\/20*((-208)\/(-28))\/26.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -52?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjttttjjbjtjjjjjt. Give prob of picking 1 b and 3 t.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 13*b + 1. Let x be i(-13). Let y(m) = 10*m**2 + m - 1. Let r be y(x). Suppose 0 = z - r + 7. Calculate the remainder when 5 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.52 and 1.1?\nAnswer: 1.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert b99 (base 13) to base 7.\nAnswer: 5534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(-3 - (-46)\/12). Suppose -w*s = 17 - 2. Let i be 95\/57 - 1\/s. Solve -i*x + x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/(39 - (-3397)\/(-86))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48\/41 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from yyykyyyyyyyyyyyr?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*b + 38. What is the highest common divisor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244733 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9048 = 89*x - 176*x. What is the highest common factor of x and 2756?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -829, -1237, -1929, -2911, -4189, -5769, -7657?\nAnswer: -9859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2068 = -5*h. Let d = -85 + h. What are the prime factors of d?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 5875612 - 5875612.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34\/5 of a millennium?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -13 (b) 3 (c) -1\/9 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - d20b1?\nAnswer: -d20b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 377 = 4*d - 422, -b + 4*d = -33. Calculate the highest common divisor of 1235 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-15)\/25410)\/((-45)\/(-105))\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + q - 6*q + 0*q as o + k*q and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -32784 + 32784 - 140*d. Let m(g) = -5*g**2. Calculate m(f(q)).\nAnswer: -98000*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1964 - 214089\/109. Is -1 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -21\/2, -0.3 in decreasing order.\nAnswer: 4, -0.3, -21\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3179043 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 = -a, -2*a + 389*j + 12 = 393*j. Let w(t) = -t**3 - 6*t**2 - 5*t + 5. What is the lowest common multiple of w(-5) and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 - 35. Let r(i) = 9*i**2. Determine r(o(y)).\nAnswer: 144*y**4 + 2520*y**2 + 11025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbffbobcciw. Give prob of picking 2 f and 1 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13461 - -13448. Which is smaller: 2\/245 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 805*o**2 + 793*o**2 - 3196*o**2 + 805*o**2 + 803*o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 21333*v + 1344001. Calculate n(-63).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1. Let h = 2 + i. Suppose h*s = -s + 48. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2f42 (base 16) to base 14\nAnswer: 45a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5476118 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2007, -4123, -6433, -9033, -12019, -15487?\nAnswer: -19533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*v + 88 + 455 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from {r: 3, q: 2, h: 3, u: 1, a: 3, b: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1454*m**3 + 11 - 11.\nAnswer: 1454*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + u - 1. Let i(q) = -3*q**2 + 142*q + 402. Let x be i(50). Let r(k) = 25*k**2 + 2*k - 2. Determine x*b(p) - r(p).\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1193*c + 23872. Let s = 41 - 25. What is the lowest common multiple of q(-20) and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5343)\/(-273) + -30 + 1 + 9.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5\/4 + 377*l**4\/2 + 46255*l**3\/4 + 170723*l**2.\nAnswer: -l**2*(l - 812)*(l + 29)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 336*t**3*z**3 + 2914*t**3*z**2 - 15*t**2*z - 632*t**2 - 13*z**3 wrt t.\nAnswer: 2016*z**3 + 17484*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2280318035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 413 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 4*d + 37. What is n(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2502114 - -5345?\nAnswer: -2452325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/(sqrt(6)\/sqrt(3)))\/(sqrt(405)*-5 + sqrt(5)))**2.\nAnswer: 1\/968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(sqrt(7) + 4) + sqrt(7) - -5*(0 + -3 + sqrt(7)).\nAnswer: -19 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and -2182728.\nAnswer: -65481.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 142, 213?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*a = -4*d + 23, -5*a + 37 = 3*d. What is the tens digit of 150\/d - (-4)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4478451 is divided by 1768?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -1. Let h(o) = o - 6*o - o**2 - 2 - w*o + o. What is the tens digit of h(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -11. Let d be 5\/(2*(-2)\/4). Sort -2\/9, d, o in descending order.\nAnswer: o, -2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - (11 + 36)) + 31 - 114?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, -24, -4, 6, -27 in descending order.\nAnswer: 12, 6, -1, -4, -24, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.143 + 5.757. Let u = m - 5.7. What is the nearest to u in -2\/7, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 9*v**2 - 3*v - 4. Let d(n) = n**2 + 8*n - 4. Let q be d(-6). Let o = q + 9. Let k be a(o). What is the highest common divisor of 23 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 366*d*o**3 - 579*d*o**2 - d*o + 3*o**4 + 45216*o + 67 wrt o.\nAnswer: 2196*d*o - 1158*d + 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.96, 0.04, 72\/19 in ascending order.\nAnswer: 0.04, 2\/7, 0.96, 72\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 144\/15 - 4\/(-10). Let p be k\/5 + 2\/(-1). Suppose 4*h - 2*h - 6 = p. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -12.3, -1\/6, -4, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7\/64 - 371\/704. Suppose -i + 2*w + 20 = -2*w, 2*w = -8. Let p(b) = 2*b**2 - 9*b + 4. Let d be p(i). Which is greater: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 17*f**2 + 37*f + 11. What is the units digit of n(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpm. What is prob of sequence pm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 238 or 239?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 103123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 - 8*t**2 - 5*t + 2. Let c be k(-5). Suppose 2 = -5*b - 3*l + c, l = b - 15. Let h = b - 8. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**1)**(3\/10)\/(m**4\/(m*((m**(-1\/5)\/m)\/m)\/m)))\/(m**(-3\/10)*m**(-1\/3))**(-28) assuming m is positive.\nAnswer: m**(-691\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**3\/3 - 7*t**2 - 2*t. Let y = 1518 - 1530. Give h(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -954*p**5 - 1265*p**2 + 4*p?\nAnswer: -57240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**2\/2 - a + 1. Let y be o(1). Solve y = -4*x + 7 + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.11, -214?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r + 30*r + 16 = 2*l, 0 = 7*r + 2*l + 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.6 + 21.4. Let h = s + -55.8. Let p = 44.963 + h. Round p to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (1\/(-2))\/((-2)\/1808)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-152)\/6 - (-6)\/(-9). Let h = -15 - a. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 10:01 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {g: 2, f: 2, d: 2, i: 4, w: 3}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*f - 54. Suppose -5*o + 0*g = g + 302, 6 = -3*g. What is the common denominator of (-411)\/o + 2\/8 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 675.736 micrograms?\nAnswer: 0.000000675736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.09003, 5.4, 0.8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-10\/3)\/n))\/n*n\/(n*n\/n**32*n))\/(n**(2\/67)*n\/(n**(-1\/31)*n)*n) assuming n is positive.\nAnswer: n**(207313\/6231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*c = 31*c - 4. Let t(f) = 39*f**3 + f**2 - 5*f - 4. Let q be t(c). Calculate the remainder when q\/(-8) - (-15)\/(-20) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/30 and 95\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 297, 303, 323, 363, 429, 527?\n\"Answer: a**3 + a**2 - 4*a + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 702, 595, 488, 381?\n\"Answer: -107*r + 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g*r**3*x**2 - 6*g*r**3 + 10*g*r**2*x**2 - 8*g*r - 3044*g*x**2 + 8*r*x + 1 wrt x.\nAnswer: 2*g*r**3 + 20*g*r**2 - 6088*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1623*r + 2877*r + 410*r)*(r - r + 2*r**3).\nAnswer: 9820*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/((-504)\/12))\/((-2)\/(-30)). Put 4, 5, 29, n in descending order.\nAnswer: 29, 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 559460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 14*u**2 - 13. Let g be c(-4). Suppose 0 = 3*q - g - 17. Let n = q - 83. Let k(a) = -a**3 - 8*a**2 - 8*a - 7. Determine k(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127057 or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 5:15 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2*4*(-4)\/6. Suppose -4*h + 4 = 0, -4*v + 5*h + 24 + 3 = 0. Let f = 13 - v. Put 0, -1, p, f in decreasing order.\nAnswer: f, 0, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + 0 + 3.\nAnswer: 3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b**4\/6 - 6*b**3 - 289*b**2\/6 + 99*b + 940\/3 = 0.\nAnswer: -4, -2, 47\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 113, 122, 135, 152, 173, 198, 227?\n\"Answer: 2*y**2 + 3*y + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 64, 128, 218, 334?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 times -0.41?\nAnswer: -93.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 6*x**2 - 2*x. Let b be 4\/(-24) - ((-58)\/12)\/(-1). Let i be (-144)\/(-40) + (-2)\/b. Does 12 divide k(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 + -8)\/((-2)\/(20\/(-25))). Is o at least as big as -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-3 - 4) - (4 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 12:26 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*t = -2*o - 7, -4*o - 26 = -2*t. Let s(x) = 2*x**2 - 19*x + 7. Let r be s(9). Which is the third biggest value? (a) o (b) r (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**4\/4 - 569*c**3\/4 + 10591*c**2\/4 - 35759*c\/4 + 2691 = 0.\nAnswer: -207, 1\/3, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4246220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 8) in base 5?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -385 (base 12) to base 4.\nAnswer: -20111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*-1*154\/(-6)*(-599)\/(-6589)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - q)*(2*q - 19*q + 8*q) + (-2 + 2*q + 2)*(6*q - 2*q - 3*q))*(-4*q + 6*q + 2*q).\nAnswer: 44*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 2*w**2 - 4*w**2 + 24.\nAnswer: -2*w**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.2, -1.5, -40, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from rqqqrnnrq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**5\/4 - j**3\/6 + 7*j. Find the second derivative of y(k) wrt k.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 18 = 180. Let w = n - 108. Calculate the remainder when 154 is divided by w.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 + -5.2. Let h = -4.000026 - s. Round h to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401747287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1352056, 7, 16 in increasing order.\nAnswer: -1352056, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-5))\/(9\/(-30)). Let l(r) = x*r**2 + 2*r**2 - 5*r**2. Let n(k) = 3*k**2 - 4*k. Calculate l(n(d)).\nAnswer: -9*d**4 + 24*d**3 - 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkcxk. Give prob of sequence kk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3410264 divided by 542.\nAnswer: -6292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 9. Suppose o - 175 = -4*o. Suppose -j - o = 4*j. Let n be t(j). Solve 4*s - 3*i = 2, 6*s - 5*i = 2*s - n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 965 = q + 954. Let n(x) = -x + 6. Let k(y) = 5*y - 29. What is q*n(p) + 2*k(p)?\nAnswer: -p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133243.\nAnswer: 11, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18, -55, -114, -195, -298, -423?\n\"Answer: -11*y**2 - 4*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 762 is divided by 96?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -25. Suppose 0 = -a*p + 5*p - 15. Suppose -p*s + s = -16, -4*s = 5*m - 16. Solve -9 = 3*l - m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -16*h - 1. Let f be w(-1). Find the second derivative of -l**4 - 15*l**3 + 4*l + f*l**3 - 5*l**4 wrt l.\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12331562 + -636?\nAnswer: -12332531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -0*c + 5*c + 3*g, -3*c + 3*g - 81 = 0. Let q = c + 36. List the prime factors of 29\/2*60\/q.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 - 5*c + 4 + c**4 + c**2 + 6*c as a*c**2 + s + n*c**4 + d*c**3 + k*c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9037018\/11 or -821547?\nAnswer: -821547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*m. Suppose m*o = o - 4, -5*o = -2*u - 16. Suppose -u*c - 26 = -98. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 7*f**5\/4 + 11*f**4 + 47*f**3\/4 + 5*f**2\/2 = 0.\nAnswer: -5, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/8 (b) 1.5 (c) -13.9 (d) -23 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.59221l in millilitres?\nAnswer: 17592.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 41 + 15 + 16 + 198*g.\nAnswer: 198*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 294945.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -566885 + 566885 - 4*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 121836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s - 45. Suppose 5*f - 4621 = -1696. Is 2 a factor of (-2)\/s + f\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42373 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p - 1. Let h be r(-1). Suppose -2*g - 16 = -h*g. Suppose 45 - 385 = -g*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/5? (a) 12 (b) 3 (c) 1902\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**2 + 2*c**2 + 2*c**2)*(7 - 5 + 2) - 3*c + c - c**2 + 2*c**2 to s*c**2 + v*c + h and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 6 - 24. Let n be -6*(-3)\/r - -2. Suppose -80 = -42*g + 26*g. Calculate the highest common factor of g and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 16*f**2 - 15*f + 7. Let r be j(-15). Let t(l) = -r*l + 6*l + 6*l. Let s(x) = -18*x. Determine t(s(d)).\nAnswer: -90*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*u**3 + 0 - 10\/9*u**2 - 2\/9*u + 8\/9*u**5 + 10\/9*u**4 = 0. Calculate u.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**4 + 201*g**3 - 27*g**2 - 203*g**3 + 28*g**2 + 1642*g wrt g.\nAnswer: -24*g**2 - 12*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**1\/p))**(-3\/13)*(p**(-11\/2))**(-5) assuming p is positive.\nAnswer: p**(709\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -904*i - 6504 - 14103 - 13745 = 0 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by -5.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.469 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100663 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 + 1. Let w = 0.305801 + -0.005801. What is the fourth smallest value in w, -3\/4, b, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 261387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -z - 17, z - h + 0 + 9 = 0. Let y(p) = 2*p**3 + 9*p**2 + 3*p + 4. Give y(z).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whhw when four letters picked without replacement from wwhwhhhhhhhhhwhhwhhh?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/1 - 0 - 0. Let w(y) = -y**3 + 6*y - 4. Let g be w(-3). Factor 4 + 11 - j*l + 2*l - 19*l + g*l**2.\nAnswer: 5*(l - 3)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.000681144 to six dps.\nAnswer: -0.000681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.4 (b) 0.06 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -28. Let s be 2\/(-8) + 153\/j. What is the units digit of (-2)\/s + 178\/26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(110))\/(sqrt(10) + 2*(sqrt(10) + sqrt(50)\/sqrt(5))).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1157368?\nAnswer: 2, 144671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/40*1\/(-2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 343 - 5147\/15. Let i be -5 + 6 + 18\/(-22). What is the smallest value in i, -3\/2, z?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3929 - 2386. Suppose -1581 - f = -22*l. Calculate the remainder when l is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3433*z - 25 = -3428*z. What is the nearest to 1 in 0, 2\/9, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 30*i**2 + 34*i - 91. Determine z(31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 7:02 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) -0.2 (c) -4 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 186 - 33. What are the prime factors of s?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -43. Let n = o + 37. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i - 3912 = -38*i. Is 41 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(500) - (sqrt(500) - sqrt(500)*-1))*-1 - ((sqrt(500) + -2 + sqrt(500) - sqrt(500)) + 4)) + 5)**2*5.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 437022868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 38*d + 24. Let p be c(17). Suppose 37*m - p = 19. What is the highest common divisor of 57 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.73 + -3.73. What is the closest to -0.2 in i, 2, 0.32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 - h**2 - h**2 + (2*h - 4*h + 4*h)*(-h + 4*h - h - h - 10 + 10 - 3 + h + 3 + 3*h - 2*h + 0*h + (4 - 2 + 0)*(2*h + 3*h - 4*h)).\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -24. Suppose 7*y + 4 - s = 0. What is the common denominator of y\/(0 + 1) - 125\/(-40) and -34\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*d + 13 + 15 + 66*d)*(-46*d**3 + 965 - 965).\nAnswer: 92*d**4 - 1288*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-4 + (-12 + 5 - -12))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/20 and 105\/33814?\nAnswer: 338140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015995355 a multiple of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/10 + 24\/15. Suppose -184 = k*m - 4*m. Is m\/(-3 - -3 - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3794948046?\nAnswer: 2, 3, 17, 12401791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -133143?\nAnswer: -133200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfff when four letters picked without replacement from fbxfxfffffxxfbbffbxx?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*t + 0*t**3 + 27*t + 7*t**3.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*a - 3. Let n(c) be the first derivative of 7*c**2\/2 + c - 10. Give n(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 9*z**2 - 2*z + 9. Let h be g(9). Let a = 18 + h. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 - 2*s - 1. Give u(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -49*d**5\/60 + 61*d**4\/24 - 13*d**2 + 3. Find the second derivative of p(q) wrt q.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 508*m*n**2 + 3*m*n - 4*m - 4*n wrt n.\nAnswer: 1016*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*p. Let v be (-52)\/13*(-1 - p). Let o = 18 - v. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5\/7, -2\/13, -2\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123542 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.81544 * 5\nAnswer: 9.0772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + w**2 + w. Let g(t) be the first derivative of t**4\/2 - t**2\/2 + t - 13. What is 2*g(h) + 2*o(h)?\nAnswer: 2*h**3 + 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-48)\/(-14))\/((-6)\/(-42)). Suppose 0*x + 3*w = -x + 6, x - 3*w - p = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48461295 or -48461303?\nAnswer: -48461303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2 + 4. Suppose -2*b - m*b - 12 = 0, -q = 2*b + 5. Let o be (1 - 0) + (q - -2). Solve 0*i + o*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001100 - 100?\nAnswer: -10010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3924 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6 = 8*y - 10*y, -7*y - 5*h = -24. Put y, -30, 45 in increasing order.\nAnswer: -30, y, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 - -15.658\nAnswer: -15.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 w when three letters picked without replacement from wvvnwvvfvvvvwwwwvn.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 11:45 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 85 + b270?\nAnswer: b335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c - 16. Let n(a) = -a - 1. Give -2*n(z) + x(z).\nAnswer: -5*z - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3040*d - 16. Let t(w) = -5392959*w + 28392. Calculate 7098*r(v) + 4*t(v).\nAnswer: 6084*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39\/117*(-81)\/(-3). Solve -52 = -c*i - 34 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 7*g = 7*g + 52, -4*r + 5*g - 24 - 48 = 18 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -944 + 938. Let k(z) = -7*z**2 - 4*z - 7. Let s(x) = -x - 1. Determine y*s(r) + k(r).\nAnswer: -7*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 403 or 401?\nAnswer: 401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127 - 115. Let z be 7 + (t\/16)\/((-3)\/12). Suppose -7*m + z*k - 7 = -2*m, 9 = 3*k. Let w(r) = 4*r**2 + r. What is w(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 2\/11, -21902\/97 in descending order.\nAnswer: 2\/11, -12, -21902\/97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1015312.5 rounded to the nearest one hundred?\nAnswer: -1015300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t**2 + 75*t - 30. List the prime factors of i(-18).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 64 - 1739 = 0. Is 9*i - (0 - 12\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47 or -0.1359?\nAnswer: -0.1359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**3 - 3*t**2\/2 - t. Let p be b(6). Let l be 222\/78 - (-4)\/26. What is the highest common divisor of l and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnno when four letters picked without replacement from {o: 3, h: 5, n: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j. Let z(d) = -4*d**2. Let l(x) = 9*x**2. Let v be -1 - ((-2)\/(-1))\/2. Let c(b) = v*l(b) - 5*z(b). Give s(c(h)).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2281 + 2286. Let y(m) = m**3 + 8*m**2 + m - 8. Let a be y(-8). Sort a, q, 4, -2 in descending order.\nAnswer: q, 4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*q**2 + 90*q - 90*q + (4*q - q - 2*q)*(-q + 3*q - 5*q) in the form n*q + i*q**2 + c and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24892*f**2 + 3*f + 24895*f**2 + 43*f**5 - 2 - 45*f wrt f?\nAnswer: 860*f**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295 = 53*p + 232 + 480 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221773.\nAnswer: 221773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 12*u - 3. Let b(f) = 29*f. Calculate b(i(x)).\nAnswer: 348*x - 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-2) - (-1 - 1). Suppose 12*s = -40*s - 260. Suppose -22*m + 14*m = 8. Sort m, b, -8, s.\nAnswer: -8, s, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11567197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -13*y - 157. Let w(u) = -u - 14. Let p(h) = -f(h) + 11*w(h). Let s(l) = 4*l + 7. Calculate 5*p(b) - 2*s(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.04, 6\/5, 11, 2.99, 3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 5. Let a be f(3). Suppose -4 = -4*q, -a*q + 0*q - 323 = 5*m. Let w = m - -102. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599318719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2469840, 2469859, 2469874, 2469885, 2469892?\n\"Answer: -2*a**2 + 25*a + 2469817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + (2 + sqrt(52))*2) + -2)**2.\nAnswer: 80*sqrt(13) + 5204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137 - -200. What is the greatest common factor of 45 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -3 (c) -4\/59 (d) 89 (e) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9*i + 3. Give j(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-6) - -1)*(-65 + 29). Let m = s + -19. What is the nearest to -2\/7 in m, 0, 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*r + 11565 = -714*r for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -591? (a) 4 (b) -3 (c) 8\/3 (d) -5.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000458972 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 - 2*b - 3. Let s be f(-1). Suppose -12 = -2*r - 4*z, 5*r - 5 - 9 = -s*z. Suppose -r*m = -8*m - 7140. Round m to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 5 - 0, -2*o = -4*k - 14780. Suppose 26208 = l + o. Suppose l = 27*t - 23*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/36*3*8\/(-90).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnnllllnll. What is prob of picking 3 l?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 414*h. Let o(l) = -179271*l. Calculate o(a(y)).\nAnswer: -74218194*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 437 divided by 3.\nAnswer: 437\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 94278227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-9))\/t**2*t**(-6)*t*t**(-3\/10)*t assuming t is positive.\nAnswer: t**(-143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10338*y + 54203*y + 62844*y.\nAnswer: 127385*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19)\/(0 - (3 - 2)). Suppose -3*t = -q - 2. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 70092396, 70092391, 70092386, 70092381?\n\"Answer: -5*x + 70092401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3114 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -3*h + 0 - 7\/24*h**4 - 1\/60*h**5 - 3*h**2 - 1\/2*h**3. Let v(c) = c**2 - 6*c - 2. Let x be v(5). What is l(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*(0 + sqrt(1088) + 5)**2 - 5*(sqrt(1224)*-2 - sqrt(1224))\/(1*sqrt(72)).\nAnswer: -3339 - 225*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - t = 8. Suppose t*z + 2 = 10. Suppose -121 = -6*b + z*b + 5*v, b + 3*v - 9 = 0. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1625859 is divided by 541948?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from {s: 2, w: 6, j: 1, e: 2, n: 5, v: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 103*i - 843. Let v be k(-94). Let s(x) = -x**3 + 6*x**2 + 7*x - 4. Let p be s(7). Let y be ((-6)\/p)\/(6\/16). Solve y*f - 17 = v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 2, -4, 5 in decreasing order.\nAnswer: 5, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1537 - 514. Let j = d - 529. List the prime factors of j.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-4) - 3069\/(-5500). Let j = s - -6197\/375. Is j > 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 10:30 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 459.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011001000 (base 2) to base 10.\nAnswer: -1224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 10 + 12*z**3 + 31 - 5*z**3.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50*k**3 + 15*k**2 - 2*k wrt k?\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3939 (base 10) in base 3?\nAnswer: -12101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7776804 by -1944201.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/2392*-13)\/((-3)\/16).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -23, 9 in descending order.\nAnswer: 9, 2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1442 + 1442.8184. Round y to 2 dps.\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 + 7*a**2 + 224 - 108.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {g: 9, k: 1, o: 1, j: 4, d: 3}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*v + 14 = 0, -5*b - 1 = 2*v - 9. Suppose 2*p - 161 = -145. Let t = 10 - 6. Solve 0 = -b*c + 3*q - p, t*c - 2*q + 8 = -0*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*u - 7. Solve d**5 - 7*d - u*d + 16*d - 5*d**3 = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -12) + 0 + (-13 + 7 - -7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z. Let t be (-2 + 4)*25\/10. Let g(s) = 9*s. Determine t*g(u) - 7*m(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + h = 2*z - 180, -2*z = 4*h - 330. Suppose -z = -5*r - c, 6*c + 159 = 4*r + 3*c. Suppose 4*i = i + r. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (6962*(-3)\/6 + -6). Is g greater than 3487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**4\/4 - 2*s**3\/3 + 3*s**2 + 3*s + 2. Let g be j(-4). Let v = -4 + g. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145149.\nAnswer: 3, 48383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 2:44 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7395 + -7397.981. Let z = -0.12 - -3.28. Let u = p + z. What is u rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 x when three letters picked without replacement from vvvvvvwxwxqvqvvvvv?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -98, -818, -2798, -6668, -13058?\n\"Answer: -105*g**3 + 15*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w**4*y**3 - 4021*w**2*y**3 - 122*y**3 - 293 with respect to w.\nAnswer: -8*w**3*y**3 - 8042*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13375511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -151 + c5?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, s: 2, m: 1, b: 1, f: 1, k: 1}. Give prob of picking 1 s, 1 m, and 1 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0078390787 rounded to six decimal places?\nAnswer: -0.007839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2793652.802 rounded to the nearest 100?\nAnswer: 2793700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2)*6*1. Suppose -5*z + 8*z = 336. Suppose -z = -f*n + n. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595 - (-3 + 1)*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -186.6 + 119.3. Let v = 67.5 + f. Which is the biggest value? (a) -3 (b) v (c) 3 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.032 (b) 4 (c) 131.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2349.648 * 2.81.\nAnswer: -6602.51088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*42\/30*75\/(-30)*(-93)\/(-21)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z**3. Let q(s) = s**2 + 5*s + 1. Let w = 4 + -9. Let k be q(w). Calculate n(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(12\/6) + 354\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2632 (base 8) in base 12?\nAnswer: -9b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 519*o**3 + 4*o**2 + 55*o - 8. Let x be k(-8). Round x to the nearest 1000.\nAnswer: -266000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-30)*j*(j**(4\/9)\/j)\/j)\/(j\/(j\/(j*j**(2\/27)*j)))**(-3\/7) assuming j is positive.\nAnswer: j**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11171 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137 + 303. Let s(c) = -27*c**2 - 25*c - 52. Let f be s(-2). Let l = f + v. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -9*r**3 - 9*r**2 + 9*r. Let w(q) = 13*q**3 + 13*q**2 - 13*q. Suppose c - 18 = 2*l, -4*l + 5 = -7*l - 4*c. Calculate l*i(v) - 5*w(v).\nAnswer: -2*v**3 - 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2389*m. Let z(u) = -2*u. What is z(x(t))?\nAnswer: -4778*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1855 + 1927 = -9*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/18*((-75)\/(-300))\/((-4)\/(-36)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 35.26434 years?\nAnswer: 0.03526434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6488 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -8*x - 9. Suppose -6*m + 2264 = -3*m - f, 2*m - 1505 = x*f. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 5\/4 (c) 1 (d) 0.3283\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**4\/2 + 6830967*a**3 + 15554050380291*a**2\/2 + 15554029887396*a + 7777011528216 = 0.\nAnswer: -2276988, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 3. Let p be r(6). Suppose p*h = -h + 104. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.91501l in millilitres?\nAnswer: 40915.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(-8))\/(((-3735)\/360)\/(-83))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*z = -305 + 697 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 - 0 - (-721)\/560*4 and -77\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318108846?\nAnswer: 2, 3, 11, 4819831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44.9 - 15591.\nAnswer: -15635.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -61, -61, -57, -49, -37, -21?\n\"Answer: 2*x**2 - 6*x - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 12, c: 1, p: 7}. What is prob of picking 1 p and 1 r?\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/27))**(1\/4)*(c**(-46)\/c)\/c**(-3\/2))**(2\/89) assuming c is positive.\nAnswer: c**(-2458\/2403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/1386 and 55\/12?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ba867 - 39?\nAnswer: ba82a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-4\/7)*z)\/z)\/((z**(-9)\/z)\/z)*(z\/z**(-10))\/z*z\/((z\/(z\/z**(-1)))\/z) assuming z is positive.\nAnswer: z**(171\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92389.\nAnswer: 11, 37, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -366d3 (base 15) in base 4?\nAnswer: -222121221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 3*o - 5*o + 33 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120001 - -100002122122?\nAnswer: 100000002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8793, 10539, 12283, 14025?\n\"Answer: -k**2 + 1749*k + 7045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 44805*i - 28800040.\nAnswer: -5*(i + 697)*(i + 8264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 f when three letters picked without replacement from eheefefhffhee?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1.9 (c) -15 (d) -1136\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/229399 and -64\/3?\nAnswer: 688197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5062*d**2 + 2*d + 4. Suppose 0 = 5*h - 24 - 21. Let p be j(h). What is p rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 13*o - 4 + 25*o + 16*o + 17. Is y(3) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 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: Suppose -2*b = 6*t - 2*t, 4*t - 3*b - 10 = 0. Let z be (-1 + t\/2)\/((-23)\/7038). What is the greatest common divisor of 17 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -1\/26*o**4 + 2\/13*o**3 + 0*o - 29 - 2\/13*o**2. Factor h(w).\nAnswer: -2*w*(w - 2)*(w - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270*a + 495 + 585 = 0. Solve -a*c = -4*z - 8, -24*c - 3*z - 14 = -19*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 103\/35, 2, -1\/789?\nAnswer: -1\/789","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 - -104. Let h be (0 - (m + -6))*-5. Let u(b) = b**3 + 5*b**2 + 2*b + 5. Calculate u(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15564?\nAnswer: 2, 3, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5882 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by ((-12)\/42)\/(18\/(-252))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21408\/13 greater than -1648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -179885 + 2265291803\/12593. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/2, -6246, 1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**6\/40 - g**3\/3 + g**2 - 6. Let t(j) be the second derivative of o(j). What is the derivative of t(p) wrt p?\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 0 - (-149 - 1). Is (-4)\/16 - j\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 9*i**2 - 8*i - 14. Let k be y(10). Let o(m) be the second derivative of -m**4\/12 + m**3\/2 + 7*m**2\/2 - 11*m. Give o(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 19 + 17 - r - 56.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 4*z - 1 + 2*z + z**2. Let h be j(6). Suppose 0*o - h = -o - 5*q, 2*o - 43 = -3*q. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-28))\/(20\/(-4)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 306006226 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 - 4*d**2 + 17*d**3 + 13*d**3 - 1055*d**3.\nAnswer: -1025*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**11*b)\/b*b**5)**19*(b**2)**(-2\/55)*(b**(1\/5)\/b)\/(b*b**(1\/5)) assuming b is positive.\nAnswer: b**(16606\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 w when three letters picked without replacement from {t: 1, n: 4, g: 2, e: 2, w: 1, c: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 100, 10, 51, -1.9, 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 519048?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -13 + (6 - (4 + -5)) + -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4470 - 3165 = -500*g + 365 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280427147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -604572 divided by -3642.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -7 + 8. What are the prime factors of (43\/5)\/(h\/(-5))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-297)\/5544)\/(15\/630)*8\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563 is divided by 97.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 589970 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10039 or -8724?\nAnswer: -10039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 2*s - 92, 0 = -15*b + 19*b + 4*s - 224. Calculate the remainder when 2600 is divided by b.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/(h*h\/h**(-4\/5)*h*h))\/h*h)*h*h*h\/h**(6\/11))**(15\/4))**(38\/7) assuming h is positive.\nAnswer: h**(3249\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145618*u**2 + 73126*u**2 + 72496*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 1:15 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*h + 1. Let z be 1*-14*(h - 13\/(-2)). Let t(a) = a - 10. What is t(z)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3*5\/(-15)*-43 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)*t)**4*t\/t**26*t\/(t*t**(-17\/3)*t) assuming t is positive.\nAnswer: t**(-121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 16) to base 12.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29884624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 - 3)*(-2 + 3 + 0) - 1 + 1 - 2 + 130 + 20 - 61)*(-2*g + 6*g - g + 1).\nAnswer: 258*g + 86","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.81 - 147.9?\nAnswer: -144.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 4 (c) -13 (d) 0.084 (e) -7\/2 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-3 + 2 - -1) + (-21 - -18).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 7*j**2 + 5. Let w be b(-7). Suppose -60 = -4*z - d + w*d, 2*z - 4*d = 28. What is the lowest common multiple of z and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -59 - 40) + (7 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/6 - 1)\/(162\/972). Suppose b = -4*m + 1 - 5, o = 2*b + 4*m. What is the smallest common multiple of 48 and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40120 is divided by 20052.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j + 3 + 0 - 3. Let s(h) be the third derivative of h**5\/60 + 2*h**2. Give u(s(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12016*q - 7374*q - 29070 + 29070 + 24020*q to s + k*q and give k.\nAnswer: 28662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -2 - (10 + -9 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 11*g - 5. Let l be x(8). Suppose 3*i - l = 41. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 6*q + 5. Let v be p(5). Let w be -4 + -93*(-11)\/3. Let y = 487 - w. Calculate the greatest common factor of v and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 - 10*p - 5. Let s(t) = -7*t**2 - 21*t - 9. Let j(z) = 9*f(z) - 4*s(z). Is 11 a factor of j(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20259447?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 47765 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 s = 4.4 + -4.6. Which is the second smallest value? (a) -1 (b) s (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/1915680 and -11\/420?\nAnswer: 13409760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 16*z - 12*z. Let g(f) = -f**3 + f**2 - 1. Let q be g(z). Sort q, 3, -1.\nAnswer: q, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiifiififfiqfiffqio. Give prob of sequence qiof.\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-3))\/((-3)\/18*-2). Suppose 0*f + 13 = f + 4*g, 2*f = 5*g + 26. Let v(o) = 2*o**2 + 2 - 16*o**2 + f*o**2. Give v(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 865*v - 865*v - 59*v**2 - 1 + 1 + 2*v**2 + (-5 + 2 + 1)*(-v**2 - 4*v**2 + 3*v**2) - 2 + 2 + v**2.\nAnswer: -52*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-21 - -14 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1326 divide 6709560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12560? (a) -0.3 (b) 3 (c) 2\/9 (d) 0.8 (e) -3\/8 (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 6*u + 3. Let f(p) = -1. Give -d(v) - 5*f(v).\nAnswer: v**2 + 6*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1607711 and 723.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -5, 0, -5903, 4 in ascending order.\nAnswer: -5903, -5, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**2 + 28 + 24*v**2 + 11*v - 13*v**2 + v**2. List the prime factors of m(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 295157, 295159, 295161?\nAnswer: 295163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -4 (c) 2\/2879 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640*u - 114 = 651*u - 1297*u for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*1014\/1352*12\/7.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a + 29. Suppose 11*i = 16*i - 175. Suppose k - i = -4*k. What is the remainder when b(k) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 881 = -453 - 347 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12803 + -12808. Let z(w) = 2*w**3 - 2*w - 6. Let s(x) = x**3 - 2*x - 5. Calculate a*z(i) + 6*s(i).\nAnswer: -4*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95 - 116)\/(21\/(-18))*(-2)\/6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 878404420 to the nearest integer?\nAnswer: 29638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -13*h - 39. Let u be n(-3). Solve -8*b - 17 + 1 = u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -152*q + 14373. Determine s(95).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100221 + -12021122?\nAnswer: -12122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13796 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 16 = -4*g - 0*g, -4*h = 2*g - 6. Suppose 6*q - 66 = -5*u + 2*q, -42 = -g*u + 2*q. Solve 3*t + u = 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 0 - 1\/30*h**5 + 1\/24*h**4 + 0*h**3 - 1\/40*h**6 + 4*h**2 + 0*h. Factor j(b).\nAnswer: -b*(b + 1)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 97\/136?\nAnswer: 97\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15597017727 take away 4863?\nAnswer: 15597012864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86613 is divided by 610.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 25, -3*q + 34 = -0*q - 2*i. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*t - 4*z, -4*z = 2*t - 8 - 4. Suppose 9*k - t*k = 33. What is the remainder when 42 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4127\/3547 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 4*q + 3. Let b be x(-2). Suppose -4 = -b*u + u. What is the second derivative of -2*c - c + u*c - c**4 - c wrt c?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2*2\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1378 - -1351.32. Round k to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142910 divided by 62?\nAnswer: 2305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t = 2*t - 72 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 326\/301299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8640.19 - 8.81. Let b = 8731.43 + z. Let y = b - 82. Round y to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/575 and 37\/6?\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 3 + u)*(231 + 220*u - 231) to the form y + m*u + g*u**2 and give m.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {t: 1, g: 6, o: 3, x: 1, l: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*w**3 + 80*w**3 + 56*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5140299*x**5 - 170089*x + 7.\nAnswer: -102805980*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1579660 to the nearest one thousand.\nAnswer: -1580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 10. Let z be v(-5). Put z, 5, -1 in decreasing order.\nAnswer: 5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11788 + -11781. Solve o = -5*n + 4*q, q = -74*n + 79*n + 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30071 + 30031. What is the nearest to 0.1 in -4, 0.5, i, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 - (-3 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4753547 + 4753512.99987. Let a = 34 + u. What is a rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -r + 50. Let o = 20 - -50. Let g = o - r. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14\/3*t - 16\/3*t**2 + 0 - 2\/3*t**3 = 0. What is t?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -215, 2, 0, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46664 divided by -76.\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22741, -58, 5, 3.\nAnswer: -22741, -58, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-15)\/(b**(1\/12)*b))**(-35)\/(((b**(-8)*b*b)\/b**(-7))\/(b**(-4\/7)*b**6\/b*b)) assuming b is positive.\nAnswer: b**(47657\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 942\/(-157) + 9*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67955 + 2*o - 3*o + 67941.\nAnswer: -o - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, l: 2, k: 7, m: 3}. Give prob of picking 2 k.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32023122 (base 4) to base 10.\nAnswer: 58074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 2\/73 (c) 3\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5574?\nAnswer: 2, 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 28 = -5*x, x + 2*v - 12 = -0*x. Solve -4*t - 5*m = -2, -2*t - 4 = -x*t - 4*m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Suppose 5*q + 0 = -3*j - 8, -22 = -2*q + 3*j. Solve q*x - 3*x - 4 = s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/46 or 9\/4?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4115, -17350, -39741, -71288, -111991, -161850, -220865?\nAnswer: -289036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 2:33 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.59 + 0.6. Let j = t + 0.07. What is j rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2) + (-1650)\/300. Suppose -4*l + 1 = -g + 6, 2*g = -3*l - 1. Put g, -3, 5, z in increasing order.\nAnswer: z, -3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*m**2 - 3 + 3 + 111*m**2 + 3*m.\nAnswer: -2*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85692523?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.16 + -5.16. What is the nearest to a in -47, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11051*q**3 - 10408*q**3 + 21180*q**3.\nAnswer: -279*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 84644.44 minutes in nanoseconds?\nAnswer: 5078666400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20915 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + ((2 + sqrt(612))**2 + sqrt(612) - sqrt(612)) + (-2 + sqrt(272) - sqrt(17))**2.\nAnswer: 18*sqrt(17) + 773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155*z**2 - 74*z**2 - 74*z**2 - 3*z + 4*z**2 - z**2 + 2*z**2 + (-2*z - 125 + 125)*(z - 4*z + 4*z) to j*z**2 + t*z + n and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -278 + 297. What is the remainder when 113 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((98\/7)\/7)\/((-204)\/7854)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 792421280 by 5660152.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -645 by -21.\nAnswer: 215\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6418253.\nAnswer: 6418253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**5\/60 - 9*c**4\/8 - 16*c**3\/3 - c**2 + 49*c. Is 16 a factor of a(32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/118080 and -46\/369.\nAnswer: 118080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 1)*(-4 - (-7)\/2). Is 14 a factor of x\/(-1) - (-8 + (-480)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1704)\/(-2840) + (286\/(-6))\/(10\/6).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**4 + 2*v**4 - 6*v**4)*(1 - 2 - 5) - 71*v**4 + 14*v**4 - 46*v**4.\nAnswer: -97*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-104)\/208 + 3 + 2\/(-4). Sort 0, -3, 22, r in descending order.\nAnswer: 22, r, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136400, 545567, 1227514, 2182241?\nAnswer: 3409748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134530459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z + 97. What is the remainder when d(-8) is divided by 61?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125 + -125.1. Sort m, 4\/3, 6 in decreasing order.\nAnswer: 6, 4\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 + 20 - 20 - i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 12:53 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -513847, -4110824, -13874039, -32886610, -64231655, -110992292, -176251639?\n\"Answer: -513853*i**3 - i**2 - 3*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 + 141*c + 302. Calculate f(49).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4 - 10 - 3*j**3 + 40*j**2 + 2*j - 19*j**2 - 24*j**2 wrt j?\nAnswer: -18*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4 - 4 - 121*l + 130*l + 9*l. Let t(k) = 328*k**2. Determine t(p(u)).\nAnswer: 106272*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -8*t + 15. Suppose -4*j + t*w + 19 = 0, -4*j - 7 = -7*j - 5*w. Solve 3*u + 0*u - 5*l = -16, 2*u + j*l = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0 + (4 + 2 - 4)*(-1 - 3 + 3) + 10 - 5 + 6)*(13 - 13 - 10)*(-4*y - 3*y + 4*y).\nAnswer: 240*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + w**2 - w. Let v be h(0). Suppose v = 4*b - 2*b. Let g(o) = -2*o - 3. Let f be g(-3). Solve -f*z + 7*z - 4 = b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -73180, -73177, -73174?\n\"Answer: 3*g - 73183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -3 - (35 + -42)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2319 - -2323. Suppose 0 = -4*c - 36. Calculate the remainder when 3\/(c\/(-4) + -2) is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5192890594 - -279?\nAnswer: -5192890315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101011101 - 10100100010111110?\nAnswer: -10011010101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7788 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + m + (-4 + 0 + 2)*(3 - 3 - m) + 0*m + 3*m - m - 77*m + 160*m - 70*m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-5 + (-1 + 0 - (-54 + 47)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, -10, 5, 18 in increasing order.\nAnswer: -10, 3, 5, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 393391384999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -32. Suppose -4*w + 5*p + 45 = z, -3*p = -w + 4*w - 27. What is the least common multiple of 7 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.7, 245, -2, -0.2, -0.4 in descending order.\nAnswer: 245, -0.2, -0.4, -0.7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 33, 7422 in descending order.\nAnswer: 7422, 33, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + 3 + 14 + -4 + -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65553612?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*((0*y + 3*y + 4*y)*(1 - 1 + 1) + 5*y - 2*y - 2*y).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**(-7\/2)\/y)\/y*y*y))\/(y*y*(y**(1\/15)*y)\/y*y))\/(y**(-3)*y\/(y\/y**10)) assuming y is positive.\nAnswer: y**(-167\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*w + 8, -2*z - 3*z + 20 = 5*w. Solve -3*x - z = 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 2*b**3 + b**5)*(-237 - 371 - 143).\nAnswer: -751*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n + 2. Let d be l(-5). Let o be (51\/d + -2)*12. Suppose 0 = -5*r + 63 + o. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 3, 0.1, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2247, 2257, 2273, 2295, 2323, 2357, 2397?\nAnswer: 2443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -1 + 1\/1. Suppose 20*k + 117 + 125 = 2*t, 3*t + 2*k + 21 = 0. Solve -m - t = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1201688696 to the nearest integer?\nAnswer: 34665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 24*y + 20. Calculate k(-12).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - (-1 - -1))\/((-11)\/297). What is the highest common factor of 459 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/(-116)*(-8)\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4\/15 - 118*d**3\/15 + 28*d**2\/5 + 1816*d\/15 + 464\/3 = 0.\nAnswer: -2, 5, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22, -91, -160, -229?\n\"Answer: -69*w + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289655?\nAnswer: 5, 19, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (544\/(-85) - -6)*(-10)\/(-26).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6038\/(-4))\/((-82)\/(-164))*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/8 - 243\/(-12). Suppose 25*w = u*w + 28. Solve 5 = 3*n - w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 4:07 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 170 + -167. Let f = -11 + 7. Let g = 0.074 - 0.074. What is the nearest to g in -5, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 28649.648742.\nAnswer: 28649.248742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -5 (c) -48627\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3. Let g = -668 - -296. Let c = 372.27 + g. Which is bigger: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1910 and 192333.\nAnswer: 190423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4719\/(-13))\/11*88\/(-3). Calculate the highest common factor of 32 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 3. Suppose -2*y + x*y - 332 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2171.99 - 2172. What is the smallest value in -3\/4, 1\/9, x?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 603 + -418. Let w = u - 185.7. What is the closest to -0.4 in -0.3, w, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 1. Let m(u) be the second derivative of 0 - 3\/2*u**2 - 4*u + 0*u**3 + 1\/3*u**4. Let o(r) = m(r) + 3*s(r). Let w(p) = -27*p**2. Give w(o(q)).\nAnswer: -27*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 942\/1099 - (-650)\/(-448). Let s be -3 + 0 + 10012\/384. Let n = f - s. Find the common denominator of n and -23\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201805.\nAnswer: 5, 40361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 + 2*v**2 + 20 - 17 + 3*v**2 + v**2 + 2*v in the form l*v**3 + j + r*v**2 + i*v and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 4. Let u(s) = -2*s - 7. Let x(l) = 4*u(l) - 7*y(l). Let r(n) = -15*n**2 - 38*n + 38*n + 21*n**2. Give r(x(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k**2. Let w(v) = -60*v**2. Calculate t(w(i)).\nAnswer: 25200*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/20)\/7*6\/(-54)*-57?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15415.6 and 156.\nAnswer: 15571.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(96\/(-20)))\/((-64695)\/1816)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j + 48. Solve 5*y - y - 3*v = 28, 2*v = y - j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(102\/(-136))\/(-3). Suppose 20 = 5*c - 0*c. Solve z = -5*w + 15, 4*v - c*w - 5 = -21 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 - (2 + 3 + -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136 + -138. Let h be (-30)\/75 + o\/(-5). Suppose 4*l - 5*l = 7. Is h at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73245, -73242, -73237, -73230, -73221, -73210?\nAnswer: -73197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1465245 (base 7) to base 10\nAnswer: -201129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*w - 4002 = -20*w - 117*w for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7117*x + 378*x**2 + 7117*x - 2 + 3*x**2 - x**2 - 3*x**2 + (-3 + 1 + 1)*(-2*x**2 + 4*x**2 - 3*x**2) - 3*x + 3*x - 2*x**2 + x**2 - 2*x + 2*x.\nAnswer: 377*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 10:05 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**5\/20 + 8*d**2. Factor f(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9648*n**3 + 3*n**2 - 3*n**2 - 4826*n**3 - 4820*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(5) - (5*(sqrt(5) + 4)**2 - sqrt(5))) + -5 - ((sqrt(605) + (sqrt(605) - (2*sqrt(605))**2))*-1 - (sqrt(605) + (sqrt(605) + 1 + 1)**2)))*-2.\nAnswer: -306*sqrt(5) + 3212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 411*y. Let o(u) = -2*u - 60. Give o(g(l)).\nAnswer: -822*l - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 633 + -629. Suppose n*s - 1435 - 1341 = 0. What are the prime factors of s?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 462, -5, -1 in descending order.\nAnswer: 462, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 4*r + 96, 5*q = -2*r - 0*r + 123. Suppose 4*d + 18 = -5*u + 43, 2*d + 5*u - q = 0. Solve 2*b + 0 + 6 = d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 2.1\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and -728?\nAnswer: -15288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -14, 17, -37 in decreasing order.\nAnswer: 17, 3, -14, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 - 7*r**2 + 7*r**2 + (5*r - 3*r - 3*r)*(2228*r + 2552*r - 730*r + 1655*r - 109*r).\nAnswer: -5598*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -172, -145, -124, -109?\n\"Answer: -3*w**2 + 36*w - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 382 - 7?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31612 + -27695. What is the highest common divisor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/23)\/k**(-21) assuming k is positive.\nAnswer: k**(481\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1061 (b) 2\/13 (c) 4 (d) -5 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -325424?\nAnswer: -1\/325424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 56000*n**4\/3 + n**3\/6 + 5*n**2\/2 + 2*n. Let u be h(-5). Round u to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 1)\/(4\/6). Suppose -2*u + 39 = 3*u + v*m, -2*u - 3*m = -21. Factor -20*w**2 - 3*w - u*w**4 + 10*w**5 + 4 - 8*w**3 + w + 22*w**4.\nAnswer: 2*(w - 1)*(w + 1)**3*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 14. Let g be a(9). Suppose -g*x = -2*x - 207. Suppose -z + 4*z = x. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - 0. Suppose -2*n - 37 - 13 = 0. Let k = n - -30. Which is the third biggest value? (a) -3\/4 (b) k (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39968561?\nAnswer: 39968561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035848169 rounded to three dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433 = 2*j + 17*g, -5*g + 230 = -5*j + 125 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3509 - -53636?\nAnswer: 57145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -16, 0.11, 6\/827 in decreasing order.\nAnswer: 1, 0.11, 6\/827, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.2. Let p be -3 + (1\/4)\/(13 + 1442\/(-112)). What is the closest to j in -22, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33634 by -33634.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 4, 3948, 586 in increasing order.\nAnswer: 1, 2, 4, 586, 3948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 12:45 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*-2*(-4)\/(16\/14). Solve 0 = -10*r + v*r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**3\/5 + 1464*t**2\/5 - 79996*t + 3292800 = 0.\nAnswer: 50, 294, 1120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 6*p - 2*t - 3874, -5*p + 9690 = -4*t. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 417935751 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from fmjdczm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -20. Suppose -422 = d*g - 5*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from bgybfgbgigggg.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*813329*20\/1320 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 > -106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, t: 1, d: 4, e: 6, n: 1, c: 3}. Give prob of sequence cnw.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, 14, 43, 94, 173, 286, 439, 638?\n\"Answer: c**3 + 2*c**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*((0 + -1 + sqrt(1700))*-6 + 2))**2*-3.\nAnswer: -1654129 + 25920*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 23. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.679, 0.2, -4, 11\/4 in descending order.\nAnswer: 3.679, 11\/4, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 23*u + 2185. Let n be x(38). Calculate the highest common divisor of 1197 and n.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 8\/1436499?\nAnswer: 8\/1436499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.24 + -0.14. Let g be 0\/((-2 + 0)\/(-2)). Suppose -4*f = -3*l + 11 + 4, g = -l + 5. Which is the nearest to f? (a) i (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vid when three letters picked without replacement from inuudnnbninibnvii.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 594 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 280 divided by 30\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8974, 8913, 8982, 9247, 9774?\n\"Answer: 11*r**3 - r**2 - 135*r + 9099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -30839 (base 14) to base 5\nAnswer: -12214432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5955966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 375 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*b = 2886, -2*g + 4*g + 1144 = -b. Is -574 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - sqrt(2736)*-3)**2*-2 + 0 - ((sqrt(2736) + -1)*-5 - (-3 + sqrt(2736) + 1)).\nAnswer: -87559 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1266*v + 24. Let a(x) = -5*x + 1. Determine -24*a(j) + w(j).\nAnswer: 1386*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 3*s**2 + 2*s. Let i be m(3). Let g be (3\/(-6))\/((-1)\/i). Differentiate -2 - 2 - 6*v**4 - 5 + g with respect to v.\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 1:30 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 563117 - 33?\nAnswer: 563084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1877*g**2 + g**2 + 1947*g**2 - 259*g**2 - 649*g**2 to h + v*g + z*g**2 and give z.\nAnswer: 2917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j - 6. Let p be s(5). Let o = p - -53. Calculate the highest common divisor of o and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9690080 divided by 355.\nAnswer: -27296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y = 52895 - 264947. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x\/x**0))**(-22))**4)**(6\/23))**(-20) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -293 + 1363. Is x a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f**2 + 2*f**2 + 4*f**2)*(f + 0 + 27915*f**2 - 2 - 27866*f**2) as l + a*f**2 + g*f + n*f**3 + h*f**4 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3035 + -8204. Let s = i + 9778. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 0*d**3 + 0 + 0*d + 33*d**2 + 29\/60*d**5 + 29\/24*d**4. Find the second derivative of n(b) wrt b.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55257 by 489.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 194057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/47181460 and -121\/140.\nAnswer: 330270220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1405657038.\nAnswer: 2, 3, 41, 61, 283, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - b - 47. Let s be l(0). Let o = -46 - s. What is the nearest to 1 in o, -1, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.387813 rounded to one dp?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 40. Which is the nearest to f? (a) -0.2 (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -13231?\nAnswer: -66155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 59.\nAnswer: 17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(11)*-1 + sqrt(11) - (sqrt(44)\/sqrt(4) + 0)) + 2 - ((2*sqrt(110))\/sqrt(10) + 0 + sqrt(11) + 1)*-1)**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q = 108. Let l = q + -28. Suppose -2*x = -7*x + l. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i + 14*i - 3 + 42 - 43 + 36*i. What is v(1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 + 1 + 0 - 0. Let l be 3 - (-1 - a\/3). Put l, -5, -4 in decreasing order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 - -38. Let s = -31 - u. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -33*p - 13. Let z(g) = 16*g + 6. Let w = -24 + 29. Let l(t) = w*z(t) + 2*o(t). Is l(2) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-1\/14)*(f*f**(10\/3))\/f*f assuming f is positive.\nAnswer: f**(227\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279672\/69 >= -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*k + 1 - 97 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 28 = -30, l - 1 = 2*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjfj when four letters picked without replacement from fjjjjjfjjjjfjjj.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.808 * -47.1\nAnswer: -38.0568","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 50 bigger than 16235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 11*b**7\/210 - 5*b**3\/3 + 6*b**2. Differentiate l(o) with respect to o.\nAnswer: 44*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 167398 and 789162?\nAnswer: 5524134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 5*x = 10, 2*a + 7 + 1 = -4*x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3)*2 - sqrt(7)*-2*-5) + 5*-1*(sqrt(175) + -2) + 0.\nAnswer: -33*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 509*z + 496*z - 1517*z + 513*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -291214 divided by -434?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21768?\nAnswer: 2, 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/167256 and 67\/353096.\nAnswer: 3177864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 447463730 to the power of 1\/2, to the nearest integer?\nAnswer: 21153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 127 + -127.2. Put 0.5, d, 0.4 in descending order.\nAnswer: 0.5, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 5*t**2 - 4*t - 7. Let m be c(8). Suppose -3*j + m = 33. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/15)\/l)**(-41) assuming l is positive.\nAnswer: l**(697\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 155135753854 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*f - 8 = 104*f. Let z(k) = 3*k**2 - 9*k - 5. Let s(b) = b**2 - 3*b - 2. Let m(a) = -11*s(a) + 4*z(a). Determine m(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 767 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h + 10 - 10*h - 1 + 7*h. What is l(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from hohhhehhhhoehhhhhe.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 328 and 9934192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101213 to the power of 1\/2, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 688, 3048, 6972, 12454, 19488, 28068, 38188?\n\"Answer: -h**3 + 788*h**2 + 3*h - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/3284 and -97\/804580?\nAnswer: 804580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwnvitx. Give prob of sequence ivtn.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 9 - -24) + (-5 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**5\/20 + 7*a**4\/12 - a**3\/6 + 7*a**2\/2 + 8*a + 1. Let x be m(7). Solve 13*u - 8*u - 5 = x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (1 + -2) - -2. Solve c*z - 3 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 414 - 145. Suppose d - f + 266 = 0. Solve 0 = d*m + 6 + 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -351420 divided by -61.\nAnswer: 351420\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001595449 to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4799845957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*k + 10 - 2 = 0, 3*s = -5*k - 8. Solve s*u = -5*x - 17 - 24, 5*x = -u - 29 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/((t**(2\/173)*t)\/t))\/t)**35*(t**(18\/7)\/t)**(2\/21) assuming t is positive.\nAnswer: t**(1773686\/25431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -526, -1136, -1732, -2320, -2906, -3496, -4096, -4712?\n\"Answer: -p**3 + 13*p**2 - 642*p + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*n - 1102 + 1522 = -2667. What is the remainder when n is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -102, 5, -72, -1 in descending order.\nAnswer: 5, -1, -4, -72, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*a + 3606 + 939. Let g(z) = -z**3 + 9*z**2 - 3*z - 4. Let w be g(4). Let i = a - w. List the prime factors of i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**5\/20 + 17*x**4\/12 - 17*x**3\/6 + 27*x**2\/2 - 2*x - 53. Let r be b(-18). Solve -2*z + r = -1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*r**2 + 3 + (-r + r + r**2)*(-130 - 294 + 27).\nAnswer: -395*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/27 - -80\/351. Let r = 25\/102 + 3\/34. Sort x, -1, r, 0 in decreasing order.\nAnswer: r, x, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3575018649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -32da (base 15) to base 9\nAnswer: -15707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 15*l - 11. Give r(9).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 248281 (base 10) to base 2.\nAnswer: 111100100111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -74822, -74849, -74914, -75023, -75182, -75397?\n\"Answer: -m**3 - 13*m**2 + 19*m - 74827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3396542909?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252994 and 4046.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -150511561.\nAnswer: -150511562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 682, 1406, 2130, 2854, 3578, 4302?\nAnswer: 5026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in months?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4275190 divided by -5.\nAnswer: -855038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 28. What is the remainder when 37 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215808996 is divided by 2163.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3479497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - z - 5*z)*(z - z**3 - 3*z + 4*z).\nAnswer: 2*z**4 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -49. Let s be 21\/(-24)*f\/21. Is 2 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**3*u - 2091*s**3 - s**2*u - 2*s**2 - 792*s*u - 6*s wrt s?\nAnswer: 18*s*u - 12546*s - 2*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 206895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 4*r - r)*(1 - 1 + 1)*((0 + 2*r + 0)*(5 + 0 - 3) + 4*r - 5*r + 4*r + (-2 + 2 + 15*r)*(0 + 0 + 19)).\nAnswer: -292*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + 6 + -14 - (-3 + 14)) + 3 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193557?\nAnswer: 3, 7, 13, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -1\/3, -0.2, 0.46?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjjktwgjptkjjjjgg. Give prob of sequence jwg.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-8)*(-48)\/60. Let y be 4*((-13)\/(-7) - (-12 + 14)). Let l = -49 - -52. What is the second biggest value in y, h, -5, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4016662229?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 6:35 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6484 (base 10) in base 16?\nAnswer: -1954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10072.05 months in centuries?\nAnswer: 8.393375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/2 in 2, 26, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22402039831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98754 = -6*p + 67403 + 64231. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -12. Suppose -4*q**2 + q + y*q**2 - 4*q + 0*q**2 = 0. Calculate q.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*((b - 4*b + b)*(-1 + 2 - 3) + b - 5 + 5 + (-3*b + 3*b - 2*b)*(-31 - 30 + 16)).\nAnswer: -95*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (-5*sqrt(1088) - sqrt(1088)) + -2*sqrt(1088) + 4)**2.\nAnswer: -208944 + 1536*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6826100 (base 9) to base 7.\nAnswer: 43160553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c + 2*c)*(0*c**2 + 4*c**2 + 4*c**2) + 3*c**3 - 7*c**3 - 11*c**3.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_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: Calculate -0.5*0.0632.\nAnswer: -0.0316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 + 2*d**2 - 411 + 411 - 2*d**3 + 4*d in the form y*d + j*d**3 + x*d**2 + z*d**4 + s and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + -7)\/(-3 + (-27951)\/(-9318)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-2\/7)*o*o*o**(2\/5) assuming o is positive.\nAnswer: o**(109\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-2\/3)\/g)*g**(1\/2))\/(g\/(g\/(g\/(g**(-5)*g)))*g*g\/(g*g**(2\/19))))\/(g**(2\/3)*g*g**(-3)*g**(-4\/3)*g*g*g**(-6)) assuming g is positive.\nAnswer: g**(449\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c = -3*c + 7 - 7 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -41. Let a(t) = 24*t + m*t - 61*t - 1. Suppose -5*n - i + 3 = 0, 5*i = -n - 5 - 4. What is a(n)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -310, -477, -662, -871, -1110, -1385?\nAnswer: -1702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -158\nAnswer: -3\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 101. Let q(r) = r - 100. Give 2*q(d) + 3*t(d).\nAnswer: 2*d + 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 54301254?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 292, 0, 24, -0.2, 5, 0.069?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -94, -100, -108, -118, -130, -144?\n\"Answer: -t**2 - 3*t - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j + 4 - 1 + 2. Suppose 0 = -4*z + 16, -20 = -f - 4*f + 5*z. Let a(d) = -d + 14 + 3*d - 2*d - f*d. Determine 5*a(o) - 14*i(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 - -2.92. Let p = 1 + -0.5. Let q = -7\/18 - -2\/9. Which is the third smallest value? (a) u (b) q (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5700 + -5701. Which is the closest to 1? (a) 0.4 (b) 1\/4 (c) -5.8 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iswt when four letters picked without replacement from {c: 2, g: 2, i: 2, s: 1, w: 5, t: 1}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5947340455?\nAnswer: 5, 7, 937, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yydyyd.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 459 - 3208\/7. Calculate the common denominator of l and 123\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v + 1. Let a(x) = -13*x + 2. Determine -a(r) + 4*h(r).\nAnswer: 5*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 = 55*f + 39*f - 462. Solve -4*u - 3 = -f*u - 3*v, 5*u + 5*v - 10 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**5\/20 - t**4\/24 - t**3\/3 - 4*t**2 + 11. Let c(y) be the second derivative of u(y). What is the units digit of c(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1280, 1206, 1094, 944?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 + 78. Suppose 5*y - u*m = 12, -18 = -4*y + y - 3*m. Suppose y*p - 78 - 90 = 0. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.77 (c) -4 (d) -48 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -9. Let m be (a + 4)\/(12\/28). Suppose -1 = 2*f - 5. Solve s = m - f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 101366, 101436, 101506, 101576, 101646, 101716?\n\"Answer: 70*i + 101296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 477*v**2 + 9 - 1194*v**2.\nAnswer: -717*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 76651913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200121202020 (base 3) to base 8.\nAnswer: -1313650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/30*9*2\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 895872 = 192617. Let d = 70651 - t. Round d to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -821.9 - -866. Let o = 44 - v. Which is the closest to o? (a) -1 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2157, 3866, 5575, 7284, 8993, 10702?\n\"Answer: 1709*q + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5642 + -5645. Let y = 3 + -1. Let z = -3 - y. Sort -4, z, i in descending order.\nAnswer: i, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 411750912 divided by 402.\nAnswer: 1024256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d. Let a be t(4). Let b = -5 + a. Let f(u) = 3*u + 3*u - 4*u - b*u. Let i(w) = 2*w. What is f(i(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 o when four letters picked without replacement from {v: 3, k: 3, o: 6, a: 1, i: 1, p: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 3*n**2 + 3*n + 2. Let w(c) = -3*c**2 - 4*c - 2. Let l be w(-3). Let b = 21 + l. Calculate m(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 0.4, 0.0089?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**7\/105 - 13*t**6\/15 + 5*t**5 - 37*t**4\/3 + 49*t**3\/3 - t**2 + 74. Find k, given that r(k) = 0.\nAnswer: 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3521509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 28, -1, -38, -83, -136, -197?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 172?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39171\/5 or 7833?\nAnswer: 7833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210954400 rounded to the nearest one million?\nAnswer: -2211000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 248305695 and 397289112.\nAnswer: 1986445560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*p - 2)*(-1 + 0 - 1) + (-3 + 0 - 9*p + 12*p)*(2 - 3 + 3).\nAnswer: 10*p - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-1*3 + 4*1*sqrt(66))*1)\/(sqrt(42)\/(sqrt(7)*4 + sqrt(7) + sqrt(7)) + (-2*sqrt(18))\/sqrt(3)).\nAnswer: -6*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o + 50*o**2 + 6*o to k*o + f + l*o**2 and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -22. Find the second derivative of 29*r - 5*r**2 - 2*r**2 + 20*r**2 - y*r wrt r.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355800 (base 9) to base 16.\nAnswer: 344e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14812 + -10800. Put h, -1, 5 in decreasing order.\nAnswer: h, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5 + 1 = 0. Suppose -h*j - 25 = 3*j, -g - 5*j = 35. Let n = g + 92. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*o + 2*h - 35 + 81, 0 = 2*o - 13*h + 36 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 - 131. Suppose -u = -2*a + 3, -r = 2*u - 5*a + 5. Solve 4*v + u*q = v - 14, q - 2 = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 346816.\nAnswer: 1\/173408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 43 = 50. Calculate the lowest common multiple of j and 255.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/9, 0.000468, 14, -1\/4?\nAnswer: 0.000468","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 7*a**5\/15 - a**4\/8 + 45*a**2. What is the tens digit of u(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 506*q - 138*q + 2944 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11991.\nAnswer: 3, 7, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53716?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + c**3 + 3*c**3 - 67 + 5*c + 69 in the form i*c**3 + v*c + j*c**2 + y and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.18 - 2.38. Let l = 3709.0952 - 3711.2952037. Let o = b - l. What is o rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*g - 15 - 6, -2*g = -10. Is (-3 + (-9)\/h)*-12 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, i: 1, p: 1, q: 1}. What is prob of sequence quu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/14)\/(2\/(-8)). Let m be p + 2 + 6\/(-4). What is the third biggest value in m, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (6428\/(-2))\/(-5 - 215\/(-45))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160733610 by -8929645.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -29988 times -16.1?\nAnswer: 482806.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32079 + -32070. Solve 176 = -t*f + 212 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/9 (b) -0.4 (c) 3.1 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -24*c + 70. Let a be z(3). Let t be (0 - -2)\/2 + 0. Sort 0, a, t in decreasing order.\nAnswer: t, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -588874 (base 10) in base 3?\nAnswer: -1002220210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -d - 1, -h + 5*d + 25 = -6*h. Which is the biggest value? (a) 3 (b) 0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/6)*d*d*d**19*d assuming d is positive.\nAnswer: d**(131\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 2*i - 3. Let f be (-162)\/10 + 3 - 8\/10. Let p(g) = g**2 + 12*g - 31. Let c be p(f). Calculate v(c).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5189397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 1. Let q(f) = 4*f + 3. Let k be 3 + 10 + 2 + -1*1. Let r be 10\/k + 1 + (-2)\/(-7). Let s be (-3)\/(-3)*-3 + 4. Calculate r*d(c) + s*q(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1879679 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102.9194 months to decades.\nAnswer: 9.190995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36612 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2478 and 14064420.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**3 + 9*i**3 - 2*i**3 + 11*i**3.\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -658*m + 3. Let l be p(3). Let g = 11915\/6 + l. What is the common denominator of -4\/25 and g?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - 27937.58?\nAnswer: -27950.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 + 16*a + 5. Let l be d(-10). Suppose -4*o = s - 25, 5*o - l = -0*s - 4*s. Solve 2 = s*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {k: 12, u: 6}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -511*p**2 + 1006*p**2 - 514*p**2.\nAnswer: -19*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + q = 8, -z - 2*q = q - 16. Suppose -z*s + s = -21. Differentiate -d**3 + 128 - s*d**3 - 95 with respect to d.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -860 + 866. Sort -0.4, x, 0.5, -5\/3 in decreasing order.\nAnswer: x, 0.5, -0.4, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u**2 + 3*u**3 - 72*u + 4*u**2 + 72*u to s*u**2 + h + x*u**3 + m*u and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-45)\/24)*186. Which is smaller: m or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 273332 and 6532.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 968820332?\nAnswer: 2, 242205083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -60*h - 1314. Calculate z(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 + 5*h**3 - 5*h**3 - 32*h**3.\nAnswer: -38*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 305*m**4*w - 9*m**4 - 2*m*w - 274*m + 59 wrt m?\nAnswer: 3660*m**2*w - 108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448700 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 >= 958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 8:52 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12*(-4)\/(-6))\/((-16)\/(-40)). List the prime factors of 2 + 2052\/z - 6\/10.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (4 - 2 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h. Let r be q(2). Suppose -o = -2*o - r*l + 1, -o + 2*l + 1 = 0. Which is the third smallest value? (a) o (b) -2 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1424276909 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/720 and -97\/75600.\nAnswer: 75600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.5159 * 0.1.\nAnswer: -0.75159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 3:06 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*s = -96*s - 19488. Is s a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 2*t + 2 + 6*t**3 - 13*t**2 - 60*t**2 + 73*t**2 to the form q*t + m + d*t**2 + x*t**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhwwwwww. What is prob of picking 2 w and 1 h?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145619529?\nAnswer: 3, 11, 4412713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5802268 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u + 24. Let k be m(5). What is the tens digit of -3*k*(-29)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.3 (b) 10290 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, c: 5, n: 2, x: 1, y: 1, p: 2}. What is prob of picking 1 x and 3 v?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, -76, -122, -132, -94?\n\"Answer: 2*b**3 - 84*b + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 38272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -2*k + 288. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.018*-0.08.\nAnswer: 1.68144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(sqrt(3)*2))**2*-6 - (-2 + -1 + sqrt(3) - (sqrt(108) + -2)).\nAnswer: -7\/2 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2043.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 499 - 135 - 120 + b - 118 - 122. Let r be ((-3)\/(-6))\/((-2)\/36). Calculate h(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**3*d**2*p**2 + c**3*d**2 - 9*c**3*p + 5*c**2*d + 8*d**2*p - p**2 - p wrt c?\nAnswer: 24*d**2*p**2 + 6*d**2 - 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2490 + 2518. What is the remainder when 455 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8306893*s**4 + 3125351*s**2 wrt s.\nAnswer: 199365432*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -168*p - 838. Let z be o(-5). Which is the nearest to z? (a) 1\/9 (b) -1\/52 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-54)*(-49)\/(980\/440)*(-96)\/16\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 144266868 and 6?\nAnswer: 144266862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 - (2 - -1))*2. Suppose -g*a + 115 = -17*a. Let z = -21 - a. Calculate the smallest common multiple of z and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + (4 + -1 + sqrt(245) + sqrt(245) + sqrt(245) + sqrt(245)*4 + 0)**2)*1.\nAnswer: 294*sqrt(5) + 12012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**2 - 2*c**2 + 2*c**2)*(41 - 56 + 33) + 2*c**2 - c**2 + 3*c**2 - 2*c + 0*c**2 - 3*c**2 + 13*c**2 in the form f*c + t + g*c**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3406900 to the nearest 100000.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 44 = 3*v - 2*b, -2*b = 3*v - 29. Let c = -120 - -129. Let d = c + v. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*c - 3 + 17, -4*c + 10 = -d. Suppose -d + 0 = 2*t. Is -4\/9 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -270 by 779.\nAnswer: -270\/779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1186, -2370, -3554, -4738, -5922, -7106?\n\"Answer: -1184*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2903029 and 1121.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 38 + 13. Let k be (-3)\/78*(-2 + s). Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 5*b + 326*y - 324*y, 2*b - 4*y = 22 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in -5, -6\/7535, -0.5?\nAnswer: -6\/7535","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 19 = -4*b, 4*l - l + 17 = 2*b. Let t(w) = -w**3 - 2*w**2 + w + 2. Let o be t(l). Suppose 0 = 7*d - 2*d. Solve -3*q + o*q = d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 = -j. Let f(n) be the second derivative of 3\/2*n**j + 0 + n + 5\/2*n**2. Let d(z) = 4*z + 2. What is -5*d(a) + 2*f(a)?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) 1\/3 (c) 14 (d) -18\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/11 + 46*h**2\/11 + 2*h\/11 - 46\/11.\nAnswer: -2*(h - 23)*(h - 1)*(h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2542, -2531, -2508, -2467, -2402, -2307, -2176, -2003?\n\"Answer: l**3 + 4*l - 2547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/u**(-7)*u*u*u**28 assuming u is positive.\nAnswer: u**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3. Suppose -2*x + 33 = 2*x - 5*f, x - 5*f - 27 = 0. Solve -2*y = -o - 2, x*y - 7 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 384 = -404, v + 5*h - 711802 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5 - 5 + 168*y**2 + 13*y - 169*y**2 - 5. Give w(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olollngoloooollfllol. What is prob of picking 1 o and 1 l?\nAnswer: 36\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 6. Let r be t(6). Solve 4*b - 2*c = -20, -5 = 3*b + c - r*c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 130?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -51755?\nAnswer: 1\/10351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61\/30 + 11\/5. Which is the smallest value? (a) u (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -10*b**3 - 4*b**2 - 4*b - 20. Let g(s) = -5*s**3 - 2*s**2 - 2*s - 9. Let h = -526 + 522. Let c(q) = h*o(q) + 9*g(q). What is c(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -23 - 41. Let n be p\/36 - (-4457)\/(-9). Let c = 176 - n. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592*g = -596*g - 3*x + 7, 0 = 2*g + 2*x - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -23. Let x = s + -18. Let c be 11\/(-20) - (-2)\/(-10). Which is bigger: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -1 + 2*o**2 + 4*o - 1\/3*o**3. Let w be y(4). Solve 1 = -w*s + 17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 80. Let l = 43 + b. Let q = l - -31.8. Sort q, 4, 1\/5.\nAnswer: q, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*z**4 - 25670*z**3 - 59874*z**2 - 42762*z - 8552 = 0. Calculate z.\nAnswer: -4276, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4, -1, 10, 29?\n\"Answer: 4*p**2 - 9*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6287770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5719452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/9)\/(1\/(-9)). Suppose 5*o - 4*v = -114, 2 = k*v - v. Let m = o + 55. Calculate the greatest common factor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 10. Suppose -6 + 4 = -r. What is the third derivative of -a**6 - 3*a**r - 6*a**6 + n*a**6 + 2*a**6 wrt a?\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4*g = 2, -p - 626 = 4*g - 619 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -265 - -280. Solve 4*c + c + 5*h = v, 3*h = 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from {p: 4, x: 1, z: 3, e: 1, r: 1, w: 5}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 96 = -27. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60 - -18446.\nAnswer: 18506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q**(3\/11))*q**(-2\/25)*q*q**(-2\/17)*q*(q**(2\/3)\/q)\/q)\/((q\/q**(10\/3))\/q**9)**42 assuming q is positive.\nAnswer: q**(6692678\/14025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200615, 401227, 601839, 802451, 1003063, 1203675?\nAnswer: 1404287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -102465?\nAnswer: 102462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88 - -90. Which is greater: y or -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u\/(u\/((u*u*u\/u**(-1\/2))\/u)*u)))\/u)**(-27))**(-16)\/(((u\/u**1*u)\/u)**(11\/4))**(2\/37) assuming u is positive.\nAnswer: u**(-1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8497.025 kilograms in tonnes?\nAnswer: 8.497025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*sqrt(22))\/sqrt(11).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 100617*-1\nAnswer: -100617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 8*c**2 - 8*c - 5. Let i be l(-7). Suppose 2*w + 3*w + 3 = -k, 2*k = -2*w + i. Suppose a = -5*b + 20, 0*b = k*b + 3*a + 5. Sort 4, b, 1.\nAnswer: 1, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)*u**(2\/5))**(-28) assuming u is positive.\nAnswer: u**(364\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 140652039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 14*s**2 - s - 2. Suppose l = -2*l - 3*x + 3, -3*l + 3*x = 9. Does 3 divide o(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010 - -1101011?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74593 (base 16) to base 11.\nAnswer: -2a605a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3074*a*i**2 + 1052*a*i*v**2 + 658530*i**2*v**2 - 4*i**2 wrt a.\nAnswer: 3074*i**2 + 1052*i*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 529*i - 3937. Determine q(7).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (16\/40)\/((-3)\/(-54)) - 8\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71210 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 10 - 4*a + 1\/2*a**4 + 1\/2*a**2 - 2\/3*a**3. Let j be l(2). Sort 1\/2, 5, j in increasing order.\nAnswer: 1\/2, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-2)*(-1912)\/4063.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.83394l to millilitres.\nAnswer: 35833.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 - 34*j**2 - 126*j - 39. Calculate u(-3).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.456901 hours in days?\nAnswer: 0.977370875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331166 (base 9) to base 4.\nAnswer: -300101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008324 rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.762\nAnswer: -0.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(119)\/(sqrt(7) - sqrt(7)*2*-1).\nAnswer: 5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132.2 - -132. Sort 5, 0.3, -2\/7, s.\nAnswer: -2\/7, s, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*f)*(1 + 2 - 4)*(-18 - 16 - 26) as z + u*f and give u.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5743759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n. Let b(h) be the second derivative of h**6\/360 - 3*h**4\/4 + h. Let d(f) be the third derivative of b(f). Determine d(w(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-3\/13))**(-15)*(j**7)**44)**(-4\/5) assuming j is positive.\nAnswer: j**(-14276\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 104863169951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 133\/(-42) - 20951\/(-3066).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 0, 11, 22, 33?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -814*n**2 + 6658*n + 20. What is b(8)?\nAnswer: 1188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 12:57 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26\/5? (a) 0.5 (b) -3 (c) -1\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/(-12)*(-6 - (-8 + 176 + 0)). Solve -c*y + 305*y = 105 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = s - 877, -p - 6965 + 2675 = -5*s. Let d = s + 19. Suppose -4*b = 2*o - 616, 0 = -5*b - o - 112 + d. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2773*i + 569360 = -2781*i. What is i rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10\/3 (b) 37\/7 (c) -0.5 (d) 0.2 (e) -2\/5 (f) 0.04 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37982543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3826353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 21. Solve t = -3*n + 5*o, n = -o - 0*o + 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115271 = 1125*g + 10729 for g.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29.127 - -0.073. Let a = 29 - s. Put a, 0.1, 2, -5 in increasing order.\nAnswer: -5, a, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from ttttpxtxttxxx.\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3077490 is divided by 2136.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-5 - 13) - -34\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 929, 936, 953, 986, 1041, 1124?\nAnswer: 1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 718282 and 7304?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + o = -50. Let j = 13 + o. Suppose b = 4*a - 13, 0*b - 12 = -5*a - j*b. Put a, 0.3, -0.1 in increasing order.\nAnswer: -0.1, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.00846 - 0.10846. Which is the second smallest value? (a) 4 (b) -144 (c) 2 (d) f (e) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221860, 443741, 665620, 887497, 1109372, 1331245, 1553116?\nAnswer: 1774985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g = -12*g - 63. Solve u = g - 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**5\/20 - u**4\/12 - 4*u**3\/3 - 9*u**2. Let j be p(-8). Suppose 2*s = -0*s + j. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14812135?\nAnswer: 5, 13, 181, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 8\/32*(-2380)\/(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 133, 126, 119, 112, 105?\n\"Answer: -7*w + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1654 + 967 = -229*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -17439 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -2)\/(11 + -13). Suppose s = -18*o + 29 + 61. Let l be (3\/4)\/((-1)\/(-4)). Which is the closest to o? (a) l (b) -0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25450009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/30 - (-31)\/(-93). Let s = 1877\/6 + -313. Put s, -1, q in ascending order.\nAnswer: -1, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**4\/4 + 2*f**3\/3 + 7*f**2\/2 - 2. List the prime factors of t(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -12044*d - 60217. Give v(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 882*y + 2619.\nAnswer: 3*(y + 3)*(y + 291)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 861171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 228 (b) 1\/6 (c) -0.17 (d) 0.92 (e) -3\/7 (f) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242 - 1186*l + 835*l + 353*l.\nAnswer: 2*l - 242","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 776 = -40. Suppose -2*h + 240 = -0*h. Let b = h + y. Calculate the least common multiple of 48 and b.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4671 + 4839. Calculate the remainder when 275 is divided by k.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 10 = -5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-1*4 - (sqrt(170) + (sqrt(170) + (1*sqrt(170)*1 - sqrt(170)) - sqrt(170))))\/(sqrt(1440)*-3 - (sqrt(10) + (sqrt(10) - sqrt(10)*3))*4).\nAnswer: 5*sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4\/4 + 64*a**3 - 4105*a**2\/2 + 3912*a - 7695\/4 = 0. Calculate a.\nAnswer: -285, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -1\/2 (c) 2\/3 (d) 0.094 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4012.87 decades in centuries?\nAnswer: 401.287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5714*t**3 - 77*t**2 + 3450 - 1151 - 1460*t**2 - 1152 - 1148 wrt t.\nAnswer: -34284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 2250?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*v**2*z**3 - 219*v**2*z**2 - 4351*v*z**3 + 22226*v*z**2 - 4*z**3 wrt z?\nAnswer: -144*v**2 - 26106*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 2. Let u be a(0). Suppose 0 = -u*o - 3*o. Let j = 3 - o. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*j = 88*j - 220763. Which is greater: j or 867?\nAnswer: 867","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8947\/558 + -392\/31. Find the common denominator of 213\/(-52) - (-15)\/20 and c.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -16*a + 2. Let k be p(0). Suppose k*s - 4*m - 90 = 0, 5*m = -s - 0*m + 10. What is the greatest common divisor of s and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1109*l - 5069. Let z be v(5). Calculate the highest common divisor of 52 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*d - 330 = 116*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4 + 1976*r**3 - 1965*r**3 + r to i*r**3 + k*r + n*r**2 + b and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108317 + -6607306\/61. What is the common denominator of t and 4\/(-6)*295\/30?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(3 - -14*2). Let q = a - -32. Solve 0 = 2*u - 3*u + q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 25. Suppose 0 = i*b - 5*p + 5, -2*b - 3*p + 6 - 3 = 0. Solve -2*y + f = 4, b = y - 2*f + 4*f - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-2))\/s)**(-1\/17)\/(s**(-3)\/s**(-3)) assuming s is positive.\nAnswer: s**(1\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-7))\/(9\/(54\/(-42)))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 46*u**2 + 14*u + 13. Is x(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*2 + 2\/(-2). Suppose 5*z = -2*y + 55 + 50, z + 330 = x*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g**2 + 11*g**2 - 1 - 10*g**2 + 2 to the form f + x*g + a*g**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3786 divided by 6.\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 51 - (1 - (11 - 10)) - (-8 - -16).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/139755 and 5\/8349?\nAnswer: 3214365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1539 + 43005 = 808*o + 1048*o for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {a: 1, d: 2, p: 1, n: 2, i: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 32 + 988. Let x = u - -71. What are the prime factors of x?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 8*a**2 - 10*a - 12. Let n be q(6). Let d be 3 + -6 - (n + 0). Let u(o) = -32*o - 1. What is the units digit of u(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k**3 - 2*k**2 - 2*k + 4. Let i be p(2). Calculate the greatest common divisor of 96 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/4))**(-26)\/(x*x**(-1\/2))**(2\/33) assuming x is positive.\nAnswer: x**(-1289\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 = -5*y, -2*y + 4 = 2*y. Let g = -7 + z. Let h be 2\/1 - (-3 - g). Solve 5*w - 22 = 3*i, -h*i - 2*w = -w - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 2*z + 2. Calculate t(3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1195\/197337 or -1?\nAnswer: -1195\/197337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -157996*g**2. Let y(d) = -4*d. Give l(y(o)).\nAnswer: -2527936*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - l + 54984 = 0, 5*z = -4*l + 119979 + 154946. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, -4, -2 in decreasing order.\nAnswer: -2, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 63*20\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 82 - -7a?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i - 890 - 4*i + 0*i - 2*i - 3*i.\nAnswer: -i - 890","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*b + 13536 = -245*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 727199 is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 21, 42, 91, 180, 321, 526?\nAnswer: 807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 7*p + 22. Let w be s(9). Suppose -2*v - w*g + 2 = 0, -1 = -v - 0*g + 3*g. Solve 6*y - 5 = v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -256 - -248. Let t = -53\/70 - -5\/14. Which is the closest to z? (a) t (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166220457*u**3 + 83958798*u?\nAnswer: 997322742*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 21, 0, -5, -3, -101 in decreasing order.\nAnswer: 21, 0, -1, -3, -5, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = v - 0*v + f, 3*f + 9 = 0. Suppose a - 19 = -3*m, -3*a + 2*m + 92 + 20 = v. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*i - 8 = 42*i, -35 = 3*r + 5*i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*q + 87*q = 60*q. Put 14, -4, -36, q, -2 in increasing order.\nAnswer: -36, -4, -2, q, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*s = -0*i + 21, 0 = 2*i + 5*s - 21. Let d be (1 - i) + 157994\/2. Round d to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18002775 divided by -105.\nAnswer: -171455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.558247nm to millimeters.\nAnswer: 0.000003558247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - -30 - (6 - 24 - (-2 - 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50\/3 - 16. Suppose 5*q - 4*p = 20, 5*q = 3*q - p - 5. Let t = q + 1. Is t greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -5*z. Suppose -450 = 4*n - 8*n + 2*a, z = -n + a + 112. Calculate the remainder when n is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -24*j**3 - 4*j**2 - 31*j - 4. Let r(h) = -h**3 + h**2 + h + 1. Let m(k) = -c(k) - 4*r(k). Find the second derivative of m(v) wrt v.\nAnswer: 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-12))\/(-7 + (-5 - -11))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 9:36 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/102 or -1?\nAnswer: -5\/102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 128*v + 175*v - 49*v + 1.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 2) + -5 + 16 + 17\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 2427061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -9*t + 61. Let y(i) = 22*i - 152. Let l(n) = 12*o(n) + 5*y(n). Let s be l(14). Suppose s = 4*j - 68854 - 77546. Round j to the nearest one thousand.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 2:49 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2100 (base 4) to base 11.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 6. Suppose 5*u = -15, -4*g + g = -4*u - 426. Let a = h + g. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8274 - 8277. Which is the biggest value? (a) 0.1 (b) q (c) 4 (d) 0.32 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 4*y - 3*y - 37, 5*u - 62 = 4*y. Suppose 2600 = u*r + 620. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2\/4 - 13255*i\/4 - 4318845\/2.\nAnswer: -5*(i + 1154)*(i + 1497)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -998 - -1002. Solve -k*d - 5*q + 13 + 8 = 0, 0 = d + 5*q - 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**3 - 962*f**2 + 3536*f + 1568 = 0 for f.\nAnswer: -196, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -1866, -1 in descending order.\nAnswer: 1, -1, -3, -1866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -8\/5 (b) 4.9 (c) 6.68 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -m + 12*a, 5*m + 14*a = 10*a + 588. Determine z so that -8*z**4 + 48\/5 + 342\/5*z**3 + 296\/5*z - 10*z**5 + m*z**2 = 0.\nAnswer: -2, -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-4 + 19 - 9) + -26?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-three halves of a tonne?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 4*x + 1007. Let w(u) = 5*u. Determine w(q(z)).\nAnswer: 5*z**2 - 20*z + 5035","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 - 233*p**2 - 212 + 105.\nAnswer: -233*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*c**2*g**2 + 17*c**2 + 822*c*g**2 - 2*c*g - 135*g**2 - 76 wrt g.\nAnswer: 10*c**2 + 1644*c - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7832571080.\nAnswer: 2, 5, 53, 3694609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0, -6, 1\/7, 35, 5 in decreasing order.\nAnswer: 35, 5, 1\/7, 0, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18632924.\nAnswer: 2, 97, 48023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, x: 4, n: 9}. Give prob of picking 1 y and 3 n.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 169 and 767?\nAnswer: 9971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 17 = -5*k + 5*w, 0 = 4*k - 2*w - 22. Solve q - k = b, -2*b + 4*q - 10 = -0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1525542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -145 + 147. Suppose -46*x + 51*x - 28 = -4*a, 16 = p*x + 4*a. Put x, -1, -20 in decreasing order.\nAnswer: x, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 143011, 143009, 143007, 143005, 143003, 143001?\n\"Answer: -2*o + 143013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-74 - -81) + ((-16156)\/(-4))\/((-2)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/21)\/3*(-5460)\/(-5200).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/(-73080)*-98)\/((-35)\/(-15)).\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*k + 5*b, 5*b - 2 - 18 = -2*k. Suppose -3*j = -k*j - 3. Is -4\/9 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45543 - 12166. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o**2 - o + 7. Let w(b) = -15 - 15*b**2 + 2*b + b + 2 - b. Let s be ((-2)\/(-6) - 0)*18. Determine s*w(t) + 11*y(t).\nAnswer: -2*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 3*q**2 - q + 4. Let p be o(3). Let k be (p + -3 + 3)*15. Find the second derivative of 13*v**5 + 6*v - v**5 - k*v wrt v.\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/140)\/(24\/(-126)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 208010939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10175076 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/3 (b) 50 (c) -6\/5 (d) -16 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2837\/4 + -709. What is the nearest to 6 in h, -0.1, -0.2, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:39 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 2*y**2 - 3*y**2 + 0*y**2 + y**2.\nAnswer: -4*y**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (218\/(-1635))\/((-6)\/9 + 2)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/2)\/d)\/(d*d\/(d**(-2\/9)*d)*d*d))\/(d\/(((d*d**(-1)\/d)\/d*d)\/d*d))**(-4\/19)*(((d*d\/(d*d**8))\/d)\/d**(-1\/2))**1 assuming d is positive.\nAnswer: d**(-1676\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*q + 35*q - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-4) + 1\/(-4). Suppose 4*y = -7*j + s*j + 49, -j + y + 8 = 0. Calculate the remainder when 13 is divided by (-34)\/(-8) - j\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 + 6*i - 3. Let v(k) = 5*k**2 + 12*k - 5. Let y(c) = 7*d(c) - 4*v(c). Suppose -182*n - 76*n + 1032 = 0. Let u(r) = -r. Calculate n*u(l) - y(l).\nAnswer: -l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2)*(-16*g - 31*g + 14*g + (-3*g + 4*g + g)*(4 - 5 + 0) + 10*g + 4*g - 10*g) as j + n*g and give n.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + a = 10598, -555*a + 554*a + 3 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-869*v + 7143 - 7143)*(5 - 2 + 0)*(3*v**2 + v**2 - 3*v**2).\nAnswer: -2607*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*q - 228 = 0. Let b = -27 + q. Suppose b = -u + 88. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1015\/(-58)*(-12)\/10. Factor 2*r**4 + 4*r**4 - 5*r**4 + 6*r**3 - 19*r + u*r**2 + 13*r**3 - 22*r**2.\nAnswer: r*(r - 1)*(r + 1)*(r + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + sqrt(6300) + 1 + 6*(-1 + sqrt(6300) + sqrt(6300)) + -4 + (sqrt(6300) + 2)*2 + sqrt(6300))**2.\nAnswer: -17280*sqrt(7) + 3225762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125 + -12. Suppose -r + 818 = 5*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -130625 < -130603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*v = u + 214*v + 16, -88 = 7*u - v for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 176836382*s**2 - 59174512*s + 1 wrt s?\nAnswer: 353672764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 12\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -14*y - 20. Let f be z(21). Which is bigger: f or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 5:35 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-3 - -12) + 10 - 16.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 445.09 - 443. Let j = 0.07 + d. Let i = j + -0.16. Which is the closest to 1? (a) 1 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036125 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5558 is divided by 347.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463233 (base 8) in base 2?\nAnswer: 1100110011010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -155*q**3 + 27*q**2 - 10*q + 299*q**3 - 143*q**3 + (-3*q + 3*q + 2*q)*(q + q**2 - q) to t*q**3 + l + i*q**2 + y*q and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00191177 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 633, 26, -5, -8.\nAnswer: -8, -5, 26, 633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-15)*(c\/(c\/(c\/(c*c*c**(-4\/19)))))\/c)\/(c**9\/(c**(2\/13)*c)) assuming c is positive.\nAnswer: c**(-6085\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -8*s + 30, -177*y + s = -181*y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -77650097*d**2. Let t(a) = -5*a**2. Calculate g(t(k)).\nAnswer: -1941252425*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19481062, 5, 1.\nAnswer: 1, 5, 19481062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 100460*r**2 - 87*r + 15155898 wrt r.\nAnswer: 200920*r - 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + l + 2452, 5*g - 7*l + 2*l = 6135. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -5. Suppose h = -u + 6. Let m be -2 + 1 + 6\/h. Which is the second smallest value? (a) m (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 + 292008*n.\nAnswer: 2*n*(n + 438012)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 12, 119\/9, -5, 0, 1.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 5*i**2 + 2*i + 2. Let j be r(-2). What is the remainder when 33 is divided by j - 9 - (0 - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 19\/12*k**4 - 7\/10*k**5 + 0*k + 45*k**2 + 0 + 0*k**3. Find the second derivative of a(m) wrt m.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**4\/2 - 29*k**3 + 276*k**2 + 128*k - 5888 = 0.\nAnswer: -4, 8, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (22\/33)\/(1\/3). Suppose 1 = -l*f + 7. Suppose -u - f = 0, 2*t - 123 = -0*t - 3*u. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-14)*(-4 - 7899).\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgg when three letters picked without replacement from {m: 3, n: 5, t: 3, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2199*m + 2192*m - 4394*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45340, -90813, -136240, -181597, -226860?\nAnswer: -272005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 5*h = -10, -3*v - 4*h - 2200 = -2208 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23379 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-5\/2)))**(-3)*m**(-13\/4)\/m*m*m*m*m**(-15)*m assuming m is positive.\nAnswer: m**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(2 - 2 + 3*l + 3) + 3*l + 5*l - 3*l.\nAnswer: -l - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (5 - -9))\/((-1)\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 2*h. Let f(l) = -2*l. Determine 4*f(m) - 3*k(m).\nAnswer: 3*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15782051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -42*k - 31. Let n be f(-17). Let h = 358 - n. Let l be 0 + -1 + (-375)\/h. What is the second biggest value in 2, l, -0.05?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**6\/40 - k**5\/20 - 3*k**2\/2 + 3*k. Let s(r) be the first derivative of z(r). What is the third derivative of s(i) wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 8:02 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3764*o + 1. Let x(d) = -5653*d + 1. What is 8*w(y) - 5*x(y)?\nAnswer: -1847*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 16) to base 9\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -43\/2*f**2 + 3\/7*f**7 - 264*f + 0*f**4 + 0*f**5 + 0 - 1\/3*f**3 + 0*f**6. Find the second derivative of q(x) wrt x.\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 592*f = 574*f + 324. Calculate the highest common factor of f and 1719.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 14*s - 5. Determine k(-6).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 11143.\nAnswer: 11143.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*j = 57*j - 60*j - 118*j. Solve 82*i - 83*i = -5*w + 29, j = 2*w - i - 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (-7 - 3)) + (-3 - -37).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(3\/5)*g)\/g**(-3\/10) assuming g is positive.\nAnswer: g**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9135848 divided by 1?\nAnswer: -9135848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 19, 50, 97, 160?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270, 250, 220, 180, 130, 70?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-45) - (-8)\/12?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**6\/20 + 5*a**3\/6 + 2*a**2. What is the first derivative of v(y) wrt y?\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**2 + n. Determine z(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o**(-2\/11))))\/o**5)\/((o*o**(-1))\/o**17) assuming o is positive.\nAnswer: o**(141\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 2. Give l(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 f when four letters picked without replacement from {f: 6, c: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 + 1. Suppose 26*z + 2032 = -4572. Let g = 257 + z. Sort v, -2, g in descending order.\nAnswer: g, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13319 is divided by 6620?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**16)**(-23\/6))**(-13\/6))**(-36) assuming y is positive.\nAnswer: y**(-4784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t. Suppose t = 5*m - 2*m. Suppose -2*l = -5*n - 19, m*n + 50 = 4*l + 2*n. What is the smallest common multiple of l and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 5*i**2 + 6*i + 2. Suppose 10*u - 8*u - 16 = 0. Suppose 0 = 4*p + u, -2*c + 34 = 2*c - 5*p. Determine j(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**3\/2 - 935*o**2\/2 + 24940*o - 277350 = 0.\nAnswer: 15, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-6 - -11)) + -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from mmdbbmmmmffffmmfdm.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 92 = -2*x - 124, 2*x - 14 - 30 = 2*j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -120\/83 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -1. Let q = -7018 - -21053\/3. Let m = -49 - -49. Sort m, b, q, 10 in ascending order.\nAnswer: q, m, b, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by -1428?\nAnswer: 37\/1428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1858*h + 1614*h + 3172 = 0 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 23743.\nAnswer: 23739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 201*w - 198*w. Let m be 517\/2 - (-2 + (-15)\/w). Round m to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millennium in months?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 8*n + 3*n - 13, -x = -5*n - 16. Suppose -4*f = 3*d - 692, 4*f - 6 = -10. Let u = d - 227. Put x, u, -1 in decreasing order.\nAnswer: u, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*(-4*o**2 + 3*o**2 - 2*o**2) + 34*o**2 - 34*o**2 + 27*o**2 - 25*o**2 + o + 38 to the form x*o**2 + j + n*o and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 3*a**2 - 2*a + 8. Let y = -82 - -85. Let w be p(y). Suppose d - 4*j - 37 + w = 0, 5 = 5*j. Calculate the highest common divisor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.02541 tonnes in nanograms?\nAnswer: 42025410000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-7 - -4) + 9. Solve 3*f = -1 + p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/(-52 - 170)*-486\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3*f - 24 = 0, -33*m + 31*m - 3*f + 19 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**5 + 45*g**4 - 90*g**3 - 570*g**2 - 675*g - 243 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.24? (a) -0.2 (b) -0.4 (c) 5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g - 5. Let l(m) = 1. Let f(u) = 3*l(u) - r(u). Let y be f(2). Differentiate y + 24*i**3 + 6 + 1 wrt i.\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + 1002222?\nAnswer: 1002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 481 and 34788?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5035 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 at least -348\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2652 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3036 + -3151. Is -117 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 33\/(-4) + (-15)\/20. Sort d, -5, -1, 2.\nAnswer: d, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-256)\/160)\/(-2 + 888\/180).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 14 = -s + 5*b, b + 7 = 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 791 and 78211.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(19 - 9))\/((3 + -6)*10)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*n + 360*n - 118*n - 122*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = a. Suppose a = 2*k + 2*k - 2*i, -4*i = -2*k + 6. Let c = -1 - 0. Is c equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2 - 5*k + 7. Let f be j(7). Let t = f + -233. Is t != -97\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 r, and 1 t when four letters picked without replacement from ltelxxftteerffetrx.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 5*g + 81 - 50, -4*t - 76 = 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 j, and 1 t when four letters picked without replacement from cccjjccjjccctjtc?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b. Let i(o) be the third derivative of -13*o**5\/120 + 2*o**3 + 13*o**2. Let l(j) be the first derivative of i(j). Determine l(q(t)).\nAnswer: -65*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2938804 divided by 2.\nAnswer: -1469402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -3\/2 (b) 5\/4 (c) -486\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.052 + -3.66. Round k to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -404, -861, -1324, -1793, -2268, -2749?\n\"Answer: -3*v**2 - 448*v + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 1:14 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 764.7553um to nanometers.\nAnswer: 764755.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 48782*j + 3 + 256003*j.\nAnswer: 207221*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/474573 and -29\/3156.\nAnswer: 499250796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59561 is divided by 70.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -202 (b) 0.124 (c) 2\/13 (d) 4 (e) -2\/7 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 551*f - 1661. What is t(3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2. Let n(f) = -8*f + 6. Let t(d) = -14*d + 12. Let g(y) = 11*n(y) - 6*t(y). Give g(u(a)).\nAnswer: -8*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -196*i - 4. Let w be x(-6). Suppose -3*m = 113 - w. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = a - 6*a + 15, 2*c - 4*a - 6 = 0. Suppose 0 = 3*r - 2*r - c*y + 31, -2*y + 4 = 0. Let h = r - -40. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2636 (base 8) to base 16.\nAnswer: 59e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 5*p**4\/2 - p**3\/3 + 15. Find the third derivative of b(u) wrt u.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0606 - 0.0043. Let b = -0.064903431 - n. What is b rounded to seven dps?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + (-54 - -3) + 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 7*j - 4. Let u = 6 + -13. Let g be v(u). Which is the closest to -0.1? (a) g (b) 2\/9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/5 (b) -0.5 (c) -2 (d) -5 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-186)\/18*(5\/(-55))\/(-40 + 1314\/33)\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 879527802 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**3\/i*i**(2\/11)\/i*i**5*(i*i**(-1\/3))\/i*i assuming i is positive.\nAnswer: i**(226\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -529? (a) 112 (b) -1\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 294?\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -12*i**4 + 9*i**3 - 90*i**2 + 213*i - 120. Let u(d) = d**4 - d**3 + 2*d**2 - d - 1. Let b(o) = -q(o) - 15*u(o). Factor b(l).\nAnswer: -3*(l - 3)**2*(l - 1)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4)*12\/(4 + 2). Put -3\/5, a, -0.1, -2 in decreasing order.\nAnswer: a, -0.1, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xzwwxzznwxwwzhz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 98 + 17. Let x = k + 99. Calculate the remainder when x is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n + 8 = 0. Solve 0 = 3*r + n*t + 3, 1 = 2*r + 5*t + 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7391 + 7749. Calculate the remainder when o is divided by 53.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4186510?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -21. Suppose 0*g - 6 = -2*g. Let j = g + m. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 29 - 7)*(-10*u - 2 + 21*u + 17*u).\nAnswer: 840*u - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 742 - 1413?\nAnswer: -671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2122200120 - -111020?\nAnswer: -2122012100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: -21230 (base 4) to base 6\nAnswer: -2512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -813b (base 13) in base 14?\nAnswer: -66b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 41*p + 365. Let i be o(28). Solve -7*y + i = 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244118120 divided by 8?\nAnswer: -30514765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 215*r - 458. What is the units digit of n(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 i, and 1 r when three letters picked without replacement from {z: 1, l: 1, p: 2, g: 2, r: 1, i: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54\/13 - -2027\/585. Find the common denominator of (-280)\/(-33) - (-220)\/(4 + -24) and j.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75560 to the nearest one thousand.\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -169776 - 12377666.\nAnswer: -12547442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -8374*n**2 - 349*n**2 - 2218*n**2 + 1184*n**2 in the form d + g*n**2 + z*n and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4*sqrt(76) + sqrt(76)) + sqrt(76))**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4285, 8555, 12825?\n\"Answer: 4270*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 4*a**2 + 69*a + 23. Let z be q(10). Let s = z + -110. Solve -u - 11 = s*c + 4*u, 0 = -u - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 51, 43, 35, 27?\n\"Answer: -8*j + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + 1 + (6*(sqrt(448) - (sqrt(448)*1 - sqrt(448)))*3)**2 + 2 + -3).\nAnswer: 580612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - k - 1 = -4, -i + 3*k + 2 = 0. Let p(s) = s**3 - s**2 - 7*s + 9. Let u be p(2). Let t be (u\/(-4))\/(36\/24). What is the closest to i in -1\/7, t, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103 or -1\/425?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2714 is divided by 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 477, 504, 529, 552, 573?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 800 + -817. Let f(a) = -a**3 - 16*a**2 + 16*a - 10. Let u be f(z). Solve -19*q = -u*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 293*l**2 + 3992*l + 167280.\nAnswer: (l - 60)*(l + 17)*(3*l - 164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/101234 and 57\/70.\nAnswer: 506170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9139439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -6*a + 2*a. Let y be -1447 - 0 - (-7 + 10 + 0). Let q be 6\/4*y\/(-75). Is a equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**5 - 5*n**5 + 6*n**5 + (4*n**2 - 8*n**2 - 5*n**2)*(-2*n**3 + 0*n**3 - 3*n**3).\nAnswer: 42*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57251.12 centimeters to nanometers.\nAnswer: 572511200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (76\/25 - 3)\/(-1). Which is bigger: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**4 + r**5 + 3*r**4 + 0*r**5 + 2*r**5 + r**5 - 4*r**5 + (2*r - 2 + 2)*(2*r**2 + 2*r**4 - 2*r**2) + 3*r**2 + 2*r**5 - 3*r**2.\nAnswer: 6*r**5 + 7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2806 (b) -10\/3 (c) -0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 + 23 - 5*z**2 + (0 + 1 + 1)*(6*z - z - 4*z)*(4*z - 3*z - 3*z).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*f - 53*f**2 + 0*f - 11*f + f wrt f.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0.4. What is the biggest value in -7, r, -4\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-3)*j)**(-1\/11)\/((j\/(j\/((j\/(j*j**(-2\/33)*j))\/j)))\/j*j**(-5)) assuming j is positive.\nAnswer: j**(265\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/14)\/((-30)\/(-35)). Let x be 3\/9 - 2\/(-6). Sort m, 3\/8, x in ascending order.\nAnswer: 3\/8, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (912\/266)\/((-9)\/14).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1876 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i - 8. Let f(v) = v**2 - 5*v. Let o be f(i). Suppose o*n = 37*n - 5. Solve 2*m + 19 = 3*h, n*h - 5*m = 22 + 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/130784 and 39\/3826.\nAnswer: 250189792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284509131?\nAnswer: 3, 94836377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/10)\/((-156)\/117) + (-52)\/5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 74790668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**9\/756 - i**6\/60 - 5*i**3\/3 + 8*i**2. Let a(r) be the first derivative of l(r). Find the third derivative of a(w) wrt w.\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 309\/823?\nAnswer: 309\/823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1114 - 3?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 34, 1.2, -1 in descending order.\nAnswer: 34, 1.2, 3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3956.92717999 - -3963.92718. Let z = n + -7. What is z rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7645074133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m + 92. Let u = m + -8. Does 19 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 500770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.114, 1, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57392933 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35239?\nAnswer: 131, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.029031 * 243\nAnswer: -7.054533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11381 and 4193.\nAnswer: 79667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*y - 2*b, -3*b - 22 = -4*y - 6*b. Let d(s) = -8*s - 5. Let k be d(-1). Suppose -k*w - 10 = -13*w. Solve y*p - 15 = w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 498 + -1?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - -0.0764.\nAnswer: -6.9236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/3*(-13)\/(39\/246). Calculate the highest common factor of h and 4838.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1534, -4, -30 in decreasing order.\nAnswer: -4, -30, -1534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -10*i**2 - 19*i - 3. Let r(k) = 9*k**2 + 18*k + 3. Let f(n) = 3*a(n) + 4*r(n). Let u be f(4). Suppose -u = -s - 43. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*x**2 + 139*x**2 - 73*x**2 + (4 - 4 - x**2)*(1 + 3 - 3) - 3*x + 3*x + 2*x**2)*(-4 - 5 - 4 + x).\nAnswer: -24*x**3 + 312*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*k - 29. Let s be 12\/18*k\/(-4). Differentiate 2*v**3 - 2*v**s + 4 - 3 + 14*v**4 with respect to v.\nAnswer: 56*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67*u**5 - 6843*u**4 - 3309*u**2 - 300*u + 2?\nAnswer: 4020*u**2 - 164232*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*1\/10)\/((-71)\/(3550\/75)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a millimeter in micrometers?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 792176640.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -10*b**2 - 68*b + 192. Let s be r(-9). What is the highest common divisor of 126 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1610 divided by 161.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117896854?\nAnswer: 2, 58948427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -63*w**3 + 3*w**2 + 4*w + 2. Let h be i(-2). Suppose -t = -2*t - 1150. Let c = h + t. Round c to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30941 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*j. Suppose d + j*d = 1. Suppose 7 + d = 4*z. Solve 4 = 4*l - b, 0 = 4*l + z*b - 3 - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/6 or -206?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x + 0*x + x)*(2*x**2 - 2*x**2 - x**3) + (2*x**3 - 2*x**3 + x**3 + 2)*(-x + 8 - 8) in the form k*x**4 + b*x + w*x**2 + f + h*x**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 x, and 1 f when three letters picked without replacement from {x: 4, i: 6, p: 2, g: 2, s: 3, f: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -13*l + 7. Let r be f(3). Let s = r + 34. Suppose -t + 768 = a, 3*a + 4*t = s*t + 2303. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by -3\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m - 13980 = 0. Let q = m - -8096. What is q rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2913513673?\nAnswer: 7, 11443, 36373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4))\/((-75)\/50)*-6*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5385*g**2*h*m**2 + 2*g**2*h*m + 4*g**2*m**3 + 14*g*h*m**2 + 7*g*h*m + 14*g*m**3 + g*m**2 + 29*m**2 wrt g.\nAnswer: -10770*h*m**2 + 4*h*m + 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -1) + 8 - (1 - 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c**3 - 71*c**2 - 72*c. Determine d(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 6) + (-307 - 5)\/8 - -7.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9683 is divided by 2394.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -40 (b) -4 (c) -1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 430, -4, 496 in decreasing order.\nAnswer: 496, 430, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 5*v**2 - 6*v - 3. Let m = -2 + 8. Let r be f(m). Put 4, 3, r in increasing order.\nAnswer: r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -62, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (735\/(-1260))\/(49\/(-21))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 24*g**2 - 182*g + 61. Let d be u(30). Which is smaller: d or -2\/1593?\nAnswer: -2\/1593","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3)*i)\/(i\/(i\/i**(4\/15))))\/(i*i**12*i**(2\/21)) assuming i is positive.\nAnswer: i**(-1508\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 201625*c**2 - 2032127875*c - 10165680625.\nAnswer: -5*(c - 20165)**2*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1681, 1665, 1647, 1633, 1629, 1641?\nAnswer: 1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5046173621273\/2121531411416 - -1\/471032729. Let s = r - 2\/563. Let u = -35877\/8 + 4478. Find the common denominator of u and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 7*d**2 + 6*d + 3. Let n be w(-6). Let u = n + -3. Let p(h) = -h**2 + h - 6. Calculate p(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125082628?\nAnswer: 2, 23, 31, 394489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*w - 70*w - 338 = -188*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -950126*m + 5700798. Determine b(6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11833207*c**3*i**2 - 16*c**3*i + 650668*c**2*i - 3*c**2 + 41*i**2 wrt c?\nAnswer: 70999242*i**2 - 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 279356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3193287833 + 0.04?\nAnswer: 0.3593287833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*p**4 + 19815*p**3 - 210400*p**2 - 294000*p = 0. Calculate p.\nAnswer: -5\/4, 0, 12, 980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 882 + 1894. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-49)\/(-7)))\/(1\/(5\/55)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 7:18 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27, 57, 87, 117, 147?\n\"Answer: 30*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -994 + 994 + 73*i.\nAnswer: 73*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-176)\/44 + 1 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 5*s + 93 + 5, -4*s = -4*m + 152. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29774888 - 2*g**2 - 29774888.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.636 and 12.6?\nAnswer: 20.6136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8577396?\nAnswer: 2, 3, 238261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5842 + 28257. What are the prime factors of y?\nAnswer: 13, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 6 + 39 - (-38 - -33)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 17016.\nAnswer: -3\/5672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 45*m**2 - 45*m - 2. Let l(g) = 89*g**2 - 91*g - 5. Let w(k) = -2*l(k) + 5*r(k). What is the second derivative of w(x) wrt x?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-1 - 0) - (6 + 13)) + 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**3 - 374*w**2 - 10432*w - 79360 = 0.\nAnswer: -155, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 4*o = -5*n + 40, 30 = 3*o - n. What is the remainder when o is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 3, v: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 9*z - 205016 = -2538686, -k + 3*z + 777908 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -3, -2\/9, -1\/2, 5191\/59, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.466 - 0.2.\nAnswer: -0.666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + n = -15 - 0, -h = 3*n - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-1\/5)*z)*(z**(-4)*z)\/z)**29 assuming z is positive.\nAnswer: z**(-551\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(2\/7)*(m\/(m\/(m*m**1)))**(-27) assuming m is positive.\nAnswer: m**(-376\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -53*m - 151. Let d be a(-5). Let j = 118 - d. Solve 4*f + 20 = -5*v, j*f - 3*v = 16 - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 6:01 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13122 and 838350.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/18, 0, 3, -2, -667?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q + 20*q = -413. What is the remainder when q is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -101*g**8\/56 - 2*g**7\/21 - g**4\/12 + 421*g**2\/2 + 2*g - 66. Find the third derivative of x(d) wrt d.\nAnswer: -12120*d**3 - 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8252036 (base 10) to base 9\nAnswer: 16466588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2979 is divided by 990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/20 - 42\/10. Let y(f) = f**3 + 4*f**2 - 2*f - 2. Let p be y(m). Solve -p = 3*l - 6*l - t, -4*l = -2*t + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*v - 82*v + 15*v)*(0*v + 4*v - v).\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-201)\/(-180) + (-5845)\/5010.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189 divided by -291?\nAnswer: -1189\/291","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gtggggggu.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5682, 5112, 4542, 3972, 3402?\n\"Answer: -570*a + 6252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-1 - (10 - 4))) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1254)\/(-308) - 3\/42*1. Put 597, p, 0, 5 in descending order.\nAnswer: 597, 5, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -142 + 142. Suppose -v - 3*g = -267, j = -11*v + 6*v + g + 1255. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 62. Suppose -26*p + 23 + 107 = r. Let i(a) be the second derivative of -a**4\/12 + a**3\/3 - 5*a**2\/2 + a. Determine i(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363 - 293 = -8*q. Suppose -149 = -2*z - 3*r, 0 = -4*z + r - q + 415. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -7*j + 174. Let g = 89 + j. Solve 2*x = c - 0*x - 6, -g*c - 4*x = 20 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = -18*q + 78. Let v be (-22)\/(-8) + q\/((-48)\/(-20)). Put 2, v, -21 in decreasing order.\nAnswer: v, 2, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 - -120. Let z(a) = -3*a + 150. Let n(u) = -u**2 + 32. Let v be n(0). Let p be z(v). Calculate the greatest common divisor of p and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24968.19m in centimeters?\nAnswer: 2496819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*k + 732 = 0, 15*t - 13*t + 3*k = 360. Does 62 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-34)*(-136)\/(-16). What is the closest to -108 in n, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1914940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**14)\/v**(-21))\/(v*v**(-5\/6)*v**(4\/5)) assuming v is positive.\nAnswer: v**(241\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u - 5*u)*(216547 - 2543*u - 216547).\nAnswer: 12715*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 78 - 498. What is the tens digit of ((-32)\/u)\/(1\/(-699))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 183, 429, 739, 1113, 1551, 2053, 2619?\n\"Answer: 32*b**2 + 150*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 4\/7 (b) 0.4 (c) -24 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 138821489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/2 and -111\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*z + 2 = 0, 4*h + 13*z + 8 = 9*z. Solve 0 = k - 5*c - 23, 0*k = 2*k + h*c - 4 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = -u. Let n(r) = u - 2 - 4*r. Let l(h) = -h**2. What is l(n(o))?\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 4*q**2 - 2*q - 3. Suppose 5*j + 13 = -3*d - 0*j, -5*d + 2*j - 63 = 0. Let i = 7 + d. What is h(i)?\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 bkknqnnbnkb.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 941*m - 1143*m + 703*m - 1 as v + n*m and give n.\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011010001001100011001 (base 2) in base 9?\nAnswer: 5502122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 176044002 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 6. Let q be 2\/u - 68\/(-6). Suppose 1 = -3*g - q. Let a(w) = w**2 + 4*w + 5. Give a(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 2250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.4 + -3.2. Let g = b + -0.2. What is the second biggest value in g, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q - 10*q - 31*q + 58*q + 164 - 2*q**2 as y*q**2 + w*q + l and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63*c*m**3 + 7*c*m**2 + 208*c*m + 15*c + 4*m**3 wrt m?\nAnswer: -378*c*m + 14*c + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.756266 millennia?\nAnswer: 575.6266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -6\/1495?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 7:48 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 191*a**2 + 33*a**3 + 554*a**2 - a**4 - 179*a**2 - 181*a**2 as o*a**3 + h + l*a**2 + c*a + i*a**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k = -15. Let m be (-1 + 1)*k\/3. Suppose -2*p + m = -20. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*c = 4*c - 46, -5*a + c - 246 = 0. Let i = -20 - a. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmimmmmmmimm. What is prob of picking 1 i and 2 m?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z. Let o(f) = 15*f**2 - 119 + 119. Give o(l(v)).\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1 - z - 7 - z. Let r be x(-6). Suppose -r*i + 24 + 2 = -2*v, 5*i - 2*v = 31. Solve i*p - m - 1 = 0, 0 = p + m - 6*m + 19 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 + 1.42. Let q = 1 - k. Let n = 8 + -8.1. What is the biggest value in q, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 56, 93, 140, 197?\n\"Answer: 5*s**2 + 22*s + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 955626, 955614, 955602, 955590?\nAnswer: 955578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 1, x: 2, g: 2, i: 2, e: 4}. What is prob of sequence ixq?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1378 + -1382. Which is the third smallest value? (a) -1070 (b) -2\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-69)\/161*1*-7. Let f(g) = -g**3 - g**2 + g + 4. Let p be f(0). Suppose -c - 40 = p*c. Put 0, n, c in ascending order.\nAnswer: c, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -8.1. Let s = j + -2.9. Sort -1\/9, s, 0.4 in decreasing order.\nAnswer: 0.4, -1\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57.93 - -54.93. What is the second smallest value in b, -2, -18, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukjn when four letters picked without replacement from utjksns.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - 4*1\/(-1). Let f = -34 + 34. Is f\/1 + 121 + o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*l**3 - 81790*l**2 - 158500*l + 11320 = 0.\nAnswer: -2, 2\/29, 566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86022*g - 43014*g - 43008*g - 13*g**2.\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 4 (c) 1\/2 (d) -0.2 (e) -1\/4 (f) -67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-62)\/6)\/(3\/81). Let r = 467 + p. What is the tens digit of 2\/8 + r\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((-3 - -1) + 2 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - o = 25, -d - d = -4*o - 60. Let c be (7 - 4)\/((-3)\/(-10)). What is the smallest common multiple of c*(4\/(-5) + 2) and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 304447, 608917, 913387, 1217857, 1522327?\n\"Answer: 304470*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*m + 4*d, 0*d = 5*d - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65651461 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + s - 1. Let w(d) = -d**3 - 20*d**2 + 16*d - 13. Let y(o) = -3*g(o) + w(o). What is the units digit of y(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46942.\nAnswer: 2, 7, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.31815 millilitres in litres?\nAnswer: 0.09431815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*b - 280 = -7*b, 4*j - 5*b = -211. Let p be (j\/(-2))\/(7\/14). Is p > 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -76 - 48 - -64.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107712\/110 - 12\/10.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 36, 116, 268, 516, 884, 1396?\nAnswer: 2076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, s: 3, y: 5, g: 1}. What is prob of sequence ggys?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*v**2 - 182771*v + 15280183?\nAnswer: -22*v - 182771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1280 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*h = 14, h = -2*z + 4*z - 9. Let x be 12\/z*3\/(-48). Let d = 5 - 5.1. Which is the nearest to d? (a) x (b) 0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2089 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 22*f - 27*f. Let d be ((-208)\/24)\/(4\/6). Is d > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954*n + 6463 + 3461 = 798*n - 10824 for n.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 9) to base 13\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82584326393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*c = -951*c + 25344 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61673261 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 2, q: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**3 - 41*a**2 - 14*a - 28. Let r be b(-10). What is the greatest common factor of 37956 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 34 = 222. Let k = s - 125\/2. Let n = -5334\/60283 + 4\/2621. Which is the nearest to k? (a) -5 (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -6, -5.\nAnswer: -6, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31832 and 41823269.\nAnswer: 334586152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 i when two letters picked without replacement from iiiiiiiiiiiiiiigiig.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -8*z - 72, 174497*h - 174501*h = 4*z + 36 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1351, -1899, -14313, -40469, -84945?\nAnswer: -152319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 107036?\nAnswer: 856288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 1188 = -13*r. Let q = 53 - 51. Suppose -g = q*p - 5*g + 12, 10 = 3*p + g. What is the smallest common multiple of p and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4099 - 366?\nAnswer: 3733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 4. Suppose r*k - 11 = -2. Let u(w) = -k*w - w**3 + 5*w**3 - 5 + 5. Let y(m) = -3*m**3 + 2*m. Give 2*u(n) + 3*y(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5, -64, -167, -332, -577, -920, -1379, -1972?\n\"Answer: -3*l**3 - 4*l**2 - 26*l + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13403980, -26807959, -40211938, -53615917?\nAnswer: -67019896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.41 + 1.91. Let s = -19 - -17. Let w be (3 - 1)\/(s\/(-3)). Which is the third smallest value? (a) w (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 58 - (-107 + 95) - -165.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 57*k + 2344. Let z be u(-41). Solve 0 = z*n - 6*n - 4, 0 = 3*x + 4*n - 22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9380409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -15*w**2. Let o(r) = 1912*r**2. What is v(o(p))?\nAnswer: -54836160*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**3 + k**2 + k + 4. Let h be r(-2). Let b = h - -102. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3626.23 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 0) + 5 - 5\/5. What is the greatest common factor of w and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-123)\/(((-6)\/(-8))\/((776\/(-32))\/(-97)))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8882395 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 33 - 4 + y)*(-2*y + 2*y + 4*y**2).\nAnswer: -8*y**3 - 148*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.157 take away 14140539390?\nAnswer: -14140539389.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(3530\/3540 - 1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 2*x - 3*x)*(3*x**2 + 4 - 4) - 8 + 8 + 2*x**3 + (4*x**2 - 4*x**2 - 3*x**2)*(-x + x - 8*x).\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 9 - 14 - (3 + -4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -40*d - 138. List the prime factors of f(-9).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.38 - -0.02. Let y be 4\/8 - 4*(-1)\/(-6). Let z = 13 - 13.03. What is the biggest value in z, q, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (344\/516 - 1640\/(-24)) + 51\/3?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -245 (b) 1\/10 (c) 1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggvgvgvvgggggvgf. What is prob of picking 3 g and 1 v?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 13) to base 6\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 7*s + 5*x - 35, -x + 23 = 5*s. Suppose 0 = -g - 0*g + 3. What is the greatest common factor of s and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -377, -745, -1093, -1409, -1681, -1897, -2045, -2113?\nAnswer: -2089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2022 divided by 8\nAnswer: -1011\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10324 - 4053. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/14390 and -44\/10667307.\nAnswer: 106673070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 16?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (sqrt(475) + sqrt(475) + -1)) + 2 - (1 + 1*sqrt(475)))**2.\nAnswer: -40*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115480553.\nAnswer: 115480553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**2 + 4280674*l - 180628802?\nAnswer: 4*l + 4280674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104749748 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.3 (b) -0.5 (c) -831797 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(224))\/sqrt(8) + -6*sqrt(224)\/sqrt(8))\/(-1*3*(sqrt(4) - sqrt(16)*2)).\nAnswer: -5*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 2)*21\/(210\/8)*1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 219 - 181. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -517\/7, 2\/9, 0.12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -1404*c + 1415*c + 7*m, -4*c + 70 = -3*m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*j + 9, 5 + 0 = h. Let r be (1 + j)\/(0 + 3). Which is the closest to 0.1? (a) -0.5 (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18930 - -19043. What is the nearest to 0 in -8, 2\/7, d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 789*b + 64. Let a(m) = -3158*m - 235. Give 3*a(s) + 11*w(s).\nAnswer: -795*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 845266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3858 = -2*n, -2*n - 306*l + 309*l + 3858 = 0. Does 62 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**3 + 3212*y**2 - 7*y**3 - 10*y**3 - 6*y**3 - 2.\nAnswer: -33*y**3 + 3212*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29835998.\nAnswer: 2, 691, 21589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13799 or 42\/5?\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 = -3. Suppose c*j = -j. Is 0 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(1\/3*9*11\/33)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/10 and -70\/5433?\nAnswer: 54330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24277*m**3 - 2*m**2 + 24270*m**3 + 3*m**2 + 4*m**2 - 5*m**2.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18\/7*u**4 - 224 - 2808\/7*u**2 - 478\/7*u**3 + 696*u = 0 for u.\nAnswer: -14, 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + -4)*4\/12. Are x and 33 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 28210.86m?\nAnswer: 28210860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-333)\/(-5) + (-4 - 22\/(-5)) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2366 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 31253.38 decades?\nAnswer: 3125.338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2480 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2) + 1 + -8 + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-36))\/(-3 + 294\/99)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -982 times -9.1548?\nAnswer: 8990.0136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = -q, 0 = -4*t + 2*q - 26. Let p = -0.098373 - 0.051627. Put 0, t, p in descending order.\nAnswer: 0, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 295 + -290. Sort -3, 6, h, 3.\nAnswer: -3, 3, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 g, and 1 u when four letters picked without replacement from {u: 2, g: 7, k: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) 4\/41 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 7*a**5\/60 - 128*a**2. Let f(b) = -100*b**2 + b. What is f(v(s))?\nAnswer: -4900*s**4 + 7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 16*(2\/5)\/((-28)\/(-175)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4446 divided by -342\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 46*z + 350316 = 42*z. What is the remainder when z is divided by 237?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**5\/15 + 24*m**4\/5 + 766*m**3\/15 + 992*m**2\/5 + 744*m\/5 - 2016\/5 = 0.\nAnswer: -21, -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377537 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btn when three letters picked without replacement from nbbrbrntnrtrrrr?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7992a (base 16) in base 12?\nAnswer: 20020a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -0.578?\nAnswer: 7.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 712 - 712 + 2*y - 74025*y**2.\nAnswer: -74025*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -304888 and -0.3?\nAnswer: 91466.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/359 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((-250)\/(-9))*(-322)\/7245\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -260337*1.05\nAnswer: -273353.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -584 and 5.871089.\nAnswer: -578.128911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4011 + -3?\nAnswer: -4014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -66, -80, -98, -120, -146?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 21 = -5*t, 0 = -w - t - 3 + 10. Let i = w + -8. Does 5 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/(-676) + (-12)\/(-15) + (-266)\/(-130)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 15c6?\nAnswer: -15c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 10 = -5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11729, -11731, -11735, -11741, -11749, -11759, -11771?\n\"Answer: -s**2 + s - 11729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(0 + 3\/6)*(-4)\/10. Which is the fifth biggest value? (a) k (b) -2 (c) 3 (d) -407 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 711578 or 711575?\nAnswer: 711575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 + 46. Let b(n) = -3*n - 30. Let g be b(d). Which is smaller: 12 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 329605 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2706 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 184488.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4*b - 19 - 135, 0 = -5*r + 2*b - 349. Does 23 divide 3 - (0 + 5) - r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -488612, -975875, -1463138, -1950401, -2437664?\nAnswer: -2924927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (10\/15)\/(4 + (-44825)\/11022)\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4205, 12 in descending order.\nAnswer: 12, -1, -4205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 11:13 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1277652.787419216114 - -0.212588783886. Let a = -1277659 + v. Let s = a + 6. What is s rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1791 and 7?\nAnswer: 12537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8544473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-8)\/((-264)\/55) - (-239749)\/(-143853)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - (-34 + 75 - 12).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257484 is divided by 276.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 582 and 114?\nAnswer: 11058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 142 + -565\/4. Sort j, 3, 1 in decreasing order.\nAnswer: 3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 + 2*z**3 - 14*z**4 + 0*z**3 + z**2 + 7*z**4 to l*z**4 + b*z**2 + d + v*z + g*z**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*k**2 - 133*k**2 - 402*k**2 - 78*k**2 - 55*k**2 as s*k**2 + o*k + a and give s.\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4\/38 - 506\/(-3496)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 58*f + 8364. Is b(0) a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 - 2*o**4 - 2*o**4 + (2*o**2 - 3*o**2 + 2*o**2)*(0*o - 2*o**2 + 0*o) + 5*o**4 - 5*o**4 - 2*o**4 + 347 + 23*o**4 - 347.\nAnswer: 17*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1051737 divided by 3999.\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -241.35 + -0.65. Let i = y - -241.9. Which is the nearest to i? (a) 3\/4 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 10*z**3 - 2*z**2 + 2*z - 1. Suppose 2*w + 0*t + 3 = t, -5*t = -4*w - 21. Give j(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 6*v + 4. Let l be i(5). Let b = 130 + l. Let u = -82 + b. 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: b\"What is the tth term of -78, -40, 452, 1746, 4190?\n\"Answer: 58*t**3 - 121*t**2 - 5*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 143*z - 159*z. Let g(q) be the first derivative of 8 + 4*q**2 - z*q**4 + 0*q + 20\/3*q**3. Factor g(x).\nAnswer: -4*x*(x - 1)*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**3\/3 - 2*y**2 - 2*y. Is j(-5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s - 2. Let v = -23 - -12. Let r = 9 + v. What is the tens digit of l(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/22 - (-113960)\/121. Suppose m = 3*i - 5*r, 3*i - 5*r = -i + 1256. List the prime factors of i.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 6:34 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16739\/2574 + 15\/286. Let c = j - 623\/90. What is the common denominator of -97\/24 and c?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*l = -0*l + 70, 0 = -3*l. What is the greatest common divisor of r and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 1902 = -5642. Suppose 129 = -11*y + 85. Sort i, -1, y, 1 in decreasing order.\nAnswer: 1, -1, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(156) + sqrt(156))*6)\/((sqrt(12) + sqrt(108) + sqrt(12))*-2))**2 - (-4 + 3 + sqrt(13) + (-2*sqrt(39)\/sqrt(3) - sqrt(13)) + sqrt(13)).\nAnswer: sqrt(13) + 493\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1459*u**2 + 29 + 16 - 45.\nAnswer: -1459*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -26*b**3 + b**2 + 16. Let f(a) = 5*a**3 - 3. Let u(o) be the first derivative of 41*o**2\/2 + 121*o + 276. Let l be u(-3). Give l*n(j) - 11*f(j).\nAnswer: -3*j**3 - 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h + 70. Let d be a(17). Solve -2*t - 6 = n - d, 0 = -t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 3 + 35 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 0*i + 2*i + i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 2*z + 1. Let q be r(2). Suppose j + q = 2*f + 3, -j + 1 = -f. Solve -3*v = 4*o + 25, j*v + 2*v + 3*o + 18 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4*j - 16, j + 4 = -3*b - j. What is the least common multiple of 30 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*45\/(-108))\/(10\/2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*y = -11, 5*y - 8 = 3*n + 5. Let d be 75\/(-12) - 1\/(-4). Is d greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67662060910\/69 + 980637132. Let l = 27553 - k. What is the common denominator of -68\/9 and l?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 - 8*j - 14. Let c(l) be the third derivative of -l**5\/60 + l**3\/6 + 11*l**2. Let a(p) = -4*c(p) - i(p). List the prime factors of a(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 3*y - y**2 + 1\/2*y**4 + 2 - 2\/3*y**3. Determine z(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50984576 divided by -25492288\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -425, -896, -1367?\nAnswer: -1838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2 + 2148*w - 576738 = 0.\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7082 - -84839\/12. Let d be 8\/(-6)*6\/4. Calculate the common denominator of d\/(-6)*(-654)\/28 and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l - 22*l + 20*l.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42643*a**3 + 117093*a wrt a?\nAnswer: -255858*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*s**2 + s**2 - 5*s**2 + ((3 - 3 - s)*(-5 + 0 + 3) - 4*s + 4*s - s + 5 - 5 - 2*s - 5*s + 3*s - s)*(-4*s + 4*s - 2*s).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 34*t - 16. Let m be g(5). Let k(q) = -m*q - 150*q + 297*q + 208. Let h be k(0). What is the highest common factor of 16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 0*j**5 + 0*j**2 + 0 + 0*j**6 + 0*j**4 - j + 1\/2*j**3 + 1\/7*j**7. Find the second derivative of m(t) wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9739.367 millennia?\nAnswer: 116872404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 95814185*m**4 + 621572013 wrt m.\nAnswer: 383256740*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1482)\/(-3420))\/((-26)\/(-6))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 - (-2 - (23 + -142))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q - 2. Suppose -3*z + 4*v + 13 + 9 = 0, 2*z - 20 = 4*v. Suppose -z*o + 0 = -4. Let y be (-4 + o)*(-3)\/2. Give u(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -44 - 2*d - 8*d + 18*d - 2*d. Let a be s(8). What is the highest common factor of 60 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/35*5 - -3. What is v in -1\/2*v**3 + 0*v - v**x + 0*v**2 + 0 - 1\/2*v**5 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-1 + (-1 - -1)). Suppose -5 = -l + 13. Let n = -18 + l. Put j, n, 5 in descending order.\nAnswer: 5, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, h: 4, f: 9, e: 4}. What is prob of picking 1 e and 1 w?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g - 2*g + 4*g + 29 - 29 - 14*g + (-3*g + 1 - 1)*(1 + 1 + 0) - 3*g + 5*g + 0*g + (-2 + 1 + 2)*(g + 2*g - 2*g) to the form w*g + z and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 142063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*v + 16316, -6429 - 13966 = -5*v - 2*m. Suppose 3097 = 8*b - v. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -12, 2761*q = -x + 2759*q + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**4 - m**3 - 1. Let a(x) = -9*x**4 - 4*x**3 - 5*x. Let h(u) = -a(u) + 3*p(u). Find the second derivative of h(q) wrt q.\nAnswer: 72*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3035406, -3035407, -3035408, -3035409, -3035410, -3035411?\n\"Answer: -d - 3035405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 184482509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 6:00 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.55 rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 47 = -9*c, 0 = -281*r + 283*r - 4*c - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 237 and 59.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**4 + s**2\/2 - 2. Find the second derivative of w(m) wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253964547?\nAnswer: 3, 17, 47, 35317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 10:38 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3444 and 3444?\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -728 - -937. Calculate the smallest common multiple of j and 57.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1338.7545 + -0.2455. Let q = 1338.9998262 + o. What is q rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -197*a**2 - 7. Let v(r) = -65*r**2 - 2. Calculate 14*v(f) - 4*x(f).\nAnswer: -122*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 7*g**2 + 24*g - 42. Let r be q(5). Suppose 14 = -r*a + 154. Solve -a*z - 5 = -0*f - 5*f, 2*f - 4*z - 6 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -9 - (-1 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/9)\/(u\/u**5*u))**27\/(u**(2\/7)\/(u*u\/((u*u\/(u*u*u\/u**2))\/u))*u\/u**(-5)*u*u**(3\/2)) assuming u is positive.\nAnswer: u**(997\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 567, 687, 861, 1089, 1371, 1707?\n\"Answer: 27*p**2 + 39*p + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3674, -31176, -105852, -251288, -491070, -848784, -1348016?\n\"Answer: -3931*l**3 - l**2 + 18*l + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + ((-1938)\/12)\/((-1)\/2). Let q be 20\/(-18)*(-624)\/l. Suppose 0 - 34\/15*n**3 + q*n**2 + 2\/3*n**4 - 8\/15*n = 0. Calculate n.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20\/3 - -7. Let q = -1097\/7 + 157. Is q greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/259 (b) 5\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671.6698km to nanometers.\nAnswer: 671669800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 451907075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 346.4 - 346. Let z be (-2 + (-2)\/4)*-2. Let y = -589\/33 - -53\/3. Which is the closest to 0.2? (a) l (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -474fe + 3?\nAnswer: -474fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 39*r**2 - 181*r - 358. Is o(77) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34792 and 10.\nAnswer: 173960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2419*d - 17610 = 2413*d. List the prime factors of d.\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/2 - 467*y**2\/2 + 155*y.\nAnswer: y*(y - 155)*(3*y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*((586 - 91*y - 586)*(y - 2 + 2 + 10) - 2 - 2*y**2 + 2).\nAnswer: -93*y**2 - 910*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((0 - 7) + (351 - 323)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -5. Let f(j) = -p*j + 6*j - 1 - 2. Calculate f(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c = -21*c - 90. Calculate the remainder when 34 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3*k + 4*k)*(3 + 4 - 6 + 0 - 1 - 1 + 1 - 2 - 1 + (-2 - 1 + 5)*(2 - 2 + 1) + 1 - 4 + 4 + 2 - 2 - 2)*(-k - 1 + 1).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/5, 2\/7, 2\/5, -6, 24785, -5?\nAnswer: 24785","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 8*p**2 - p + 3. Let f be o(8). Let n = 3\/7 - -1\/14. Which is the nearest to -2\/9? (a) f (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -10 (b) 2\/7 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -555200 - -22166?\nAnswer: -533001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.561 - -7.561. Let k = -16 + 30. What is the fourth biggest value in k, -1\/4, -5\/2, w?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59 and 826?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2374\/1141 + -33858757\/1141. Let r = g + 29750. Let n = 73 - r. What is the second biggest value in 0.4, n, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - h - 2. Let b(n) = -12*n + 168. Let l be b(14). Give t(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - 16. Let v be t(-9). Let d(k) be the first derivative of 0*k**3 - 7 - 2*k + 3\/2*k**4 + 0*k**v. What is the first derivative of d(r) wrt r?\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -2a65c87?\nAnswer: -2a65c83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(448) - 1*sqrt(448)) - (sqrt(7) + (sqrt(28) - sqrt(252)))) + ((sqrt(189)*1)\/sqrt(3))\/sqrt(9).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 15*o**2 + 16*o + 1. Let n be q(16). What is the derivative of 52*f**3 + 5*f**4 - 52*f**3 + n + f**4 wrt f?\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 9 + (-4)\/1. Suppose 4*b + 2*g = r*g + 22, -4*b + g + 19 = 0. Solve 2 = -2*v + b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 11110011010?\nAnswer: -11110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = -2*u, 4*i - 18 = -0*i + 3*u. Let t = -158 + 185. Solve 21 = -i*g - 2*z + 5*z, 0 = 5*g - z + t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 699 - 123 = 0. Calculate the highest common factor of 1392 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8450, -16881, -25312?\n\"Answer: -8431*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 4. Let a be (-1)\/5 - 77\/(-35). Let t(j) = 0 + 6 - j - 20 + 5 - a*j. What is 7*m(i) + 3*t(i)?\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4793 - -5902. What is the remainder when a is divided by 99?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 20 = 0, 0*i = 2*i - 4*w - 16. Suppose i = -2*c - 2*c. Find the second derivative of 10*r + c*r**4 + 4*r**4 - r**4 wrt r.\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -77, -1693, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00033288 rounded to 5 dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 112*p. Let v(q) = -q**2 + 17*q. What is h(v(w))?\nAnswer: -112*w**2 + 1904*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -750*q - 744*q + 2240*q - 750*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21798192 divided by 15054.\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 5. Suppose 6*j - 1060 + 250 = i. Calculate the highest common divisor of j and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**2\/2 - 101. Let i(x) = x**2 - 3*x - 1. Give 2*i(h) - 2*p(h).\nAnswer: 2*h**2 - 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3)\/n**6*(n**2)**(1\/20) assuming n is positive.\nAnswer: n**(-89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 7:19 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 29.1. What is the nearest to 3 in 0.4, g, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-8)*(-4)\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 24 = 1. Let k be z*1 - (41 - 48). What is the biggest value in -1, 7, k?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*a**5*p**3 - 13*a**5*p - 6*a**2*p + 7*a*p**2 + 2*a + 7*p**3 wrt a.\nAnswer: 600*a**2*p**3 - 780*a**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/3596 and -67\/12?\nAnswer: 10788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1362 - 132. Let j = o + 2134. Is j a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -52*h + 44*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*r**2 - 4*r - 8*r**2 - 11*r**2 + 2 in the form g + j*r + l*r**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000148603 to 6 decimal places.\nAnswer: 0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-60))\/(2*(-2)\/(-10)). Let c = -489\/8 + 61. What is the closest to -1 in c, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 14*t + 14. Determine x(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 576685.3 days in microseconds?\nAnswer: 49825609920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k - 2. Let l be 6 - (5 - 2) - (0 + 1). Suppose -4*o + l*a = -18, -3 = -4*a + 9. Let r(u) = 8*u - 5. Let i(j) = o*r(j) - 17*x(j). Determine i(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -8. Which is the nearest to s? (a) -3 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*r - 1065 + 5037 = -18978 - 7542 for r.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*f - 16, -5 = -2*k + 4*f + 11. Let v be (k\/6)\/((-192)\/(-90) - 2). Solve 0 = -4*p + 10 + v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = z - 74*z - 109 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**5\/20 - 5*v**4\/4 - 8*v**3 - 21*v**2 - 22*v + 1. Let t be b(-11). Solve t*c + 9 = 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2460 and 183504?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**3\/3 - 9*z**2\/2 + 10*z - 8. Let h(v) be the first derivative of b(v). Let i be h(-4). Is i >= 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 153? (a) 1.526 (b) -3 (c) 53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -5, -8, 4, 266 in decreasing order.\nAnswer: 266, 4, 2, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -102*p + 107*p, -5*u = 2*p - 10. Suppose v = -u*w + 29, -73 = -9*v + 4*v - 2*w. What is the remainder when 116 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (7 - 7) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4480 * 68101\nAnswer: -305092480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*d*p**3*t - 4*d*p**3 - d*p**2*t - 3*d*p**2 + 91*p**3*t + 3*p**2 - 374*t wrt p.\nAnswer: -36*d*t - 24*d + 546*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 156 = 7*b. What is the remainder when b is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 3*m**2 + 2*m**2)*(1 + m**2 - 1) - 43*m**4 - 290*m**4 - 88*m**4.\nAnswer: -420*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2880252 divided by -6\nAnswer: -480042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-14 - -3) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -178*g. Let m(a) = -7*a - 2. Give m(y(n)).\nAnswer: 1246*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -9.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96152 and 29302322?\nAnswer: 117209288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2 + 132*f = 0?\nAnswer: -66, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4509? (a) -0.6 (b) -2 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165718 and 294234?\nAnswer: 14417466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1440 and 648?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**3 - 27*j**3 + 37*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 + 17*g + 16. Let t be x(9). Let r be 10\/(-2)*(2 - 1). Let k = r + t. Solve -2*j = 5*b + 2*j + 3, -k*b + 4*j - 18 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 110 = -5*n, -2*n + 70 = 3*n + 5*q. Suppose l + 0*l = x + 2, -3*x = 2*l - n. Suppose 1441 = x*a + b, b + 2*b = -5*a + 2399. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r - 2. Let j(f) = 3*f + 2. Let w(y) = 3*y**2 + 19*y + 9. Let n be w(-6). Suppose 6 + n = -3*q. What is q*j(s) - 2*h(s)?\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 132 = -0*u. Let z be 10*(3\/2 - 0). Let h be u\/z + (-2)\/5. Is 2 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*z + 5*c - 10, 4*z - 4*c - 56 = 0. Let h be 64\/z - (-1)\/(-3). Suppose 0 = n + 2*n - 3*p - 27, h*p + 41 = 4*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 251, 866, 1481, 2096, 2711, 3326?\n\"Answer: 615*r - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1000 and 10250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 + 2*a**2 - 6*a**3 + 2*a**2.\nAnswer: -2*a**2*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94286670.\nAnswer: 2, 3, 5, 653, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18185, -36460, -54735, -73010, -91285?\n\"Answer: -18275*x + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4805853 is divided by 902?\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 823 (base 13) to base 6\nAnswer: 10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 3*j = 27, 106*o - 5*j + 45 = 101*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, 338, -2, -4 in increasing order.\nAnswer: -5, -4, -2, 8, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {y: 5, n: 2, x: 2, g: 6, s: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -41. Let l = -0.1392 + -1.8608. Which is the third biggest value? (a) l (b) 0.3 (c) 3\/2 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -26. Suppose -2*h + m + 145 = 0, 0*m = g*h - 4*m - 361. Let b = h - 12. List the prime factors of b.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -117 + 394. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + w**2 - 3*w**2 - 9 - 4*w + 6 to the form q*w**2 + j + c*w and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 9*d - 30. Determine y(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26739 by -17.\nAnswer: -26739\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 8 = -14*a. Suppose -4*h = -a - 2. Factor 4*y + 6*y**2 - 2 + h - 1.\nAnswer: 2*(y + 1)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/(2\/(4 - 8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 20*s**2 - 22*s + 56. Let n be i(19). Which is the closest to n? (a) 0.09 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 - b**5 - b**5 - 7*b**3 - b**5 + 4*b**3 + 10*b**3 + 0*b + 0*b - b**5 + (4*b**3 - 4*b**3 + 2*b**3)*(0 + 0 + b**2) - b**4 + b**4 - 3*b**5.\nAnswer: -5*b**5 + 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 25, -3, 2, 0 in ascending order.\nAnswer: -3, 0, 2, 15, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 + 54*j)*(1 - 1 - 3) + (-j - 3*j + 2*j)*(7 - 3 - 3) - 1 + j + 1 + 0 + 2 - 5 + 3*j + 2*j + 3*j - 6*j.\nAnswer: -161*j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/n**(-1\/21)*n**14*(n\/(((n**(-19)*n)\/n)\/n*n))\/(n**(-10)\/n) assuming n is positive.\nAnswer: n**(988\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -8*y + 2*m - 10, 4*m - 20 = -3*y. Suppose y = -3*o + 17 + 22. Let z be -5*(-1 - 14\/10). Is z less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1)*(3*q - 4*q + 3*q) + 4469*q + 4134*q - 1 - 8941*q to the form v + u*q and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*s**3 - 80*s**3 + 0*s**4 + 16*s**2 + s + s**4 as u*s**3 + t*s + c*s**2 + v*s**4 + l and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.077 and 5971386?\nAnswer: 5971385.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 132995*o + 21571430. Calculate q(162).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*q - 15 = 0, 0*q = -2*u - 5*q + 12. Let r be (-4)\/(-2*u\/16). Calculate the greatest common divisor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + b)*(16687*b + 29 - 25 - 13938*b).\nAnswer: 2749*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 2. Let f = -3 - -4. Which is the biggest value? (a) 0.1 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -39*j + 38. What is the units digit of f(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -638 - 3*f - 13*f + 718. Is d(-19) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2811 a factor of 2297260541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, -2, 68.2, 3, -2\/13.\nAnswer: -2, -2\/13, 0.2, 3, 5, 68.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 4174?\nAnswer: 187830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x + 3. Let r be z(8). Suppose 5*t + 3*l - r = 0, l = -2*t + 3*l + 14. Solve 0 = -3*a + t*a + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*q - 42 = 0, 3*b + b + 5*q - 51 = 0. Let x be 1*57*(b - 8). Let t = 2 + x. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*h - 4520 = 59*h - 15180. What is the remainder when h is divided by 89?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630537 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = -4 - 12. Let q(h) = -h**3 + 6*h**2 + h. Let u be q(6). Let n be (w\/10)\/(u\/30). Is n greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(100\/1000)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 7:11 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 39*g - 32. Calculate v(-40).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*n = 1, 370*f - 2*n - 5 = 369*f. Put 1\/14, 1, f, -2\/7, 0.4 in decreasing order.\nAnswer: 1, 0.4, 1\/14, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a centimeter in micrometers?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14907 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/sqrt(3) + sqrt(77)\/(sqrt(21)\/sqrt(3)) - (sqrt(176)*6 + -3)**2.\nAnswer: -6345 + 147*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (210\/(-18))\/(-5) + (-1 - 1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.1 - 0.1. Sort 0.5, 0.4, m.\nAnswer: 0.4, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y = -o + 1, 0 = -4*y - 4. Let g = 30 - 25. Let p be g\/(-10)*-4 + -5. Which is the third smallest value? (a) 5 (b) p (c) o (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3119.1511 to the nearest integer.\nAnswer: -3119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 + 7*i - 46. Calculate p(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 11:43 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 16 = -3*j. Determine p so that 3*p**4 - p - 164*p**3 + 6 + j*p + 161*p**3 - 9*p**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 24 - (-3 - (-7 + (2 - 7))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37 and 29.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 4*f**2 + 4*f - 2. Let o be p(2). Suppose m - 8*m = 21. Sort m, 5, o in increasing order.\nAnswer: m, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160913 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 407 - 406.682. Let q = 55.682 + u. Which is greater: q or 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 369720.9 kilometers to millimeters.\nAnswer: 369720900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*k*x - 1209876840*k + 53235842*x with respect to x.\nAnswer: 10*k + 53235842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -9*l + 32 - 1\/2*l**2. What is i(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**2 - 2*k + 0*k**2 + 4*k**2 + (-3 + 5 - 1)*(3*k**2 + 12*k - 12*k).\nAnswer: 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 5. Suppose j = 5*k + 4*w - 316, 3*k - 2*w = 2*k + 66. Suppose 0*a = -3*a + 66. What is the remainder when k is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 564 and 45.\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 70717 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 - 34. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 88\/3 of a day?\nAnswer: 42240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*t**3\/3 - 4760*t**2 - 2052996*t + 1827973136\/3.\nAnswer: (t + 356)*(7*t - 2266)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 3473?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1088 - 89*o + 1088)*(o**4 - 5*o**4 + 3*o**4).\nAnswer: 89*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 205.458 micrograms?\nAnswer: 0.205458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 11 - 31 = 0. Solve k = t - 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-5))\/((-3)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1007*a = 76*a + 45486 for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, g: 5, z: 1}. Give prob of picking 3 k.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 5*c + 9, 17*c - 14 = -4*a + 19*c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - m + 3*m. Suppose -5 + 0 = -5*c. Let x(w) be the third derivative of w**4\/6 + 32*w**2. What is c*x(s) - 3*d(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + o + 4. Let h be v(0). Let k be 1\/h - (-45)\/12. Let u be -1*1\/((-2)\/k). Solve 0 = u*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 2*y - 3. Suppose 87*c - 88*c = 5, -n = 2*c - 8. Calculate the remainder when n is divided by o(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481327.\nAnswer: 7, 11, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t - 289 = -0*t + 229. Which is greater: t or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 90\/21 - 4\/14. Let b be (15\/(-4))\/(d\/(-2)). Is b less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214 (base 12) to base 2.\nAnswer: 100110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002234 to seven decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1274670995 to the nearest integer?\nAnswer: 35703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-1 + 6)) + 1 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131*b - 1317*b**2 + 664*b**2 + 655*b**2)*(-1 + 2 + 0)*(-3 + 2 + 4).\nAnswer: 6*b**2 + 393*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/12 - 641*j**4\/12 - 7360*j**3 + 90251*j**2\/3 - 90896*j\/3 = 0 for j.\nAnswer: -437, -208, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 11:25 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 3. Let f(d) = 1 + 8*d**2 - 1 - 4*d + 2 - 5*d**2. Let i(l) = -l**2 + l - 1. Let t(b) = k*f(b) - 4*i(b). Calculate t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 865, 890, 919, 952?\nAnswer: 989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**4\/8 - 12*x**2. Let c(o) = 5*o**2. What is c(v(w))?\nAnswer: 45*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + 119a2?\nAnswer: 11a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170840878 and 3796.\nAnswer: 1898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/2, -0.5, 6, 1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 15. Let v be u(-16). Does 10 divide (-5)\/(-6) + v - (-805)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*(4 + sqrt(19)).\nAnswer: 16 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*z**4 + 20*z**4 + 15*z**3 + 5*z**5 + 7*z**4 + 5*z**2.\nAnswer: 5*z**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -3*p + 9, 3*p - 9 = 8*m - 11*m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8790 is divided by 552.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -994, -2 in decreasing order.\nAnswer: 3, -2, -994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3547110 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 490546 by 1894.\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/413 + 1647\/2065. Let a = 7 - 7.3. Let v = 5362 + -5359. What is the second smallest value in v, a, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2592)*-2)\/(sqrt(6) - (sqrt(6) - ((1*sqrt(294) - sqrt(294)) + sqrt(294)))).\nAnswer: -24*sqrt(3)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1438 = -379*n + 93*n - 16310 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 28, 10\/9 in descending order.\nAnswer: 28, 17, 10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 28.5. Let n = -0.1 + 0.15. What is the second biggest value in c, n, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1590 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 8. Find the second derivative of -6*f + 3*f**4 - 2*f**4 - 5*f**c wrt f.\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13, -133, -459, -1093, -2137, -3693, -5863?\n\"Answer: -17*p**3 - p**2 + 2*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*m - d - 6, m = d + 5. Let o be (m\/(-2 - 0))\/(-2). Solve z + o*z = -5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18598441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-6 - -8) + 1. Let c(n) = 2*n - 6*n + 4*n + 6*n. Let z(w) = 5*w. Give k*c(y) + 4*z(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.233045 - -0.43305. Let b = 0.8 + c. Round b to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 3756.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v**3 + v - 2. Let b(o) = -1897*o**3 - 35*o - 1141. Let r(s) = -b(s) - 35*p(s). What is the first derivative of r(c) wrt c?\nAnswer: 5166*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 3*p**2 + 4*p - 7. Let m be t(-5). Let r = -21 + m. What is the first derivative of 10 - 3*o**2 + 0 - r*o**2 wrt o?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 7 = -5. Calculate the remainder when (-4)\/(-8) - 21\/z is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 - -28. Let q = z - -20.9999948. Round q to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16182 divided by -3\nAnswer: -5394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(6\/3))\/((-6)\/60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1023*x + 261*x + 61*x + 2765*x. Let h(b) = -b**2. Give h(f(r)).\nAnswer: -16892100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3. Let s = k - 1. Sort -1\/3, s, -2 in ascending order.\nAnswer: -2, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 2)*(28*m**3 - 32*m**3 + 96*m**3) + (1 - 1 - m)*(4*m + m - 4*m)*(-4*m - m + 3*m).\nAnswer: 462*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3*(165\/(-198))\/((-20)\/36)*8\/(-1212)\nAnswer: -3\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8726*s - 8664*s + 17506*s.\nAnswer: 116*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 - -1.73. Let q = 0.01 - -0.02. Let w = r - q. Which is smaller: -0.3 or w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 800 - 814. Let g be (75\/105)\/(12\/f). Which is smaller: 65 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*(sqrt(45))**2 + sqrt(320)*3.\nAnswer: 24*sqrt(5) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 1. Let s be q(-3). Let r(c) = -3*c**3 - 2*c**2 + 4. Let u(v) = -7*v**2 - 7*v**3 - 4*v**2 + 9*v**2 + 3*v**3 + 5. What is s*u(j) + 5*r(j)?\nAnswer: j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*12\/(-9) - (-12)\/9. Let g(a) = -a + 5. Let z be g(o). Solve -2*p = 2*y - 2, 2*y + 1 = z*p + 3*y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**5\/180 - 157*h**4\/72 - 26*h**3\/3 - 7*h**2 + 13. Factor d(w).\nAnswer: -(w + 1)*(w + 156)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 239631?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3538575 is divided by 2625?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987050.3ml to litres.\nAnswer: 987.0503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 5*c**2 - 2*c + 3. Let i be f(6). Suppose -x + 27 = -0*x. Suppose j = 4*j - x. Calculate the highest common factor of j and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -120.6 and -164935739.\nAnswer: -164935859.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6766175?\nAnswer: 5, 13, 109, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from ncnnnlnlnnnollpc?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -5, -39447, 0.25.\nAnswer: -39447, -5, -4, 0.25, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1599816 is divided by 190?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l**2 - 1. Let d(h) = -30*h**2 + 2*h - 6. Let r(f) = d(f) - 7*w(f). What is r(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -600 + -129b5?\nAnswer: -130b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -29429 and 1737246.\nAnswer: 1707817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -12, -27, -58, -111, -192, -307, -462?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l - 237 = -377 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(1 + (-1)\/3). Which is the second smallest value? (a) 2\/5 (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/((-3120)\/(-35))*48\/(-392)?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94477387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -2390.824 - -2393. Round q to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*a = -376*a - 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -14*(-1)\/(-1 - -3). Let r = 34 - b. What is the remainder when r is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from foooooooooooooooooo. What is prob of picking 4 o?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20130032 - -2?\nAnswer: 20130100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 202346*z - 2630437. Determine o(13).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 2*h + 8. Calculate the remainder when 29 is divided by b(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17258?\nAnswer: 2, 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 8, 7 in increasing order.\nAnswer: -3, 1, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 15*z - 227. What is b(14)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n - 24. Let y(t) = -3*t - 18. Calculate 18*j(w) - y(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 20*b + 18. Let d(s) = 12*s + 12. Let v(u) = -8*d(u) + 5*l(u). Let t(x) be the second derivative of x**3\/6 - x**2\/2 + x. What is -6*t(f) + v(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 - 114*s + 215*s + 15*s - s**2 - 116*s.\nAnswer: -s**2 - 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -10, 2, -3, -203 in descending order.\nAnswer: 18, 2, -3, -10, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29152 = 6*m + 26*m. Let g = 1287 + m. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 16 = -11. Suppose 24 - 90 = -r*a + 3*z, 28 = 2*a - 2*z. Suppose 0 = -14*o + a*o - 2. Is 4\/27 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 2*w + 7 = 0, -5*t + 7*w + 27 = 10*w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/10)*w**(-7))**(-3\/2) assuming w is positive.\nAnswer: w**(213\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12922 - 5466 = 932*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -575*k - 295*k + 190*k. Let u(t) = -2*t. Determine f(u(o)).\nAnswer: 1360*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*h = -82*h - 112*h - 89*h - 4*h. Factor h*n**3 - 72\/7*n - 44\/7*n**2 + 4\/7*n**4 - 32\/7.\nAnswer: 4*(n - 4)*(n + 1)**2*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48686 + 24102 - 54934 = -1371*m for m.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 11:28 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 16) to base 6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -5. Let c(v) = v**3 + 2*v**2 - 5*v + 9. Let p be c(-4). Which is greater: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(11\/(-55)*-15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5 + 112*x**4 + 3022*x**3 - 6384*x**2 + 3249*x = 0. What is x?\nAnswer: -57, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000054998 to 6 dps.\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + -4.6. What is the nearest to 0.1 in -2\/11, 3, q?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 639.7 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-12)*8)\/(-22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11584, 14330, 21780, 36286, 60200?\n\"Answer: 392*w**3 + 2*w + 11190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or 0?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12630092 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*q = -41959, 51*q - 52*q = -1. What are the prime factors of m?\nAnswer: 3, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -207 + 1859\/9. Let h = -20.06 + 0.06. Let q = -21.4 - h. Which is the third smallest value? (a) q (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 29. What is the nearest to -3 in -2\/15, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*o**3 + 30*o**3 - 12*o**3.\nAnswer: 56*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17786861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*r)*(3 - 10 - 19)*(-139*r - 131*r + 273*r).\nAnswer: -156*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-440)\/22*(-1)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 b when four letters picked without replacement from hbhhbhhhhhhh?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -28 - 19 - (4 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1000*s + 547*s - 431*s to the form b*s + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.199232 + 12725.667768. Let b = -12722 + j. Let s = 7.9 - b. Round s to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1398 = -p - 3*p, -p + 1408 = 2*f. Let u = -700 + f. Solve u = -t - 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8605?\nAnswer: 5, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 27 = 4*k - 38, k + 4 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(-2\/9)\/u)\/u))**(-7) assuming u is positive.\nAnswer: u**(-140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47343791 and 8607962?\nAnswer: 94687582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383636, 767280, 1150924, 1534568, 1918212, 2301856?\nAnswer: 2685500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - s - 9 = 0, 0 = -114*q + 116*q - 3*s - 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-18))\/((-9)\/54). Which is the second biggest value? (a) -2 (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/2946 and -113\/67980.\nAnswer: 33378180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 285815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/7 - 894*b\/7 - 892\/7.\nAnswer: -2*(b + 1)*(b + 446)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -1\/4, -0.1, -0.12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - g)*(2803*g**2 + 134*g**3 - 135*g**3 - 259*g**2) in the form m*g**2 + l + n*g**4 + t*g**3 + y*g and give t.\nAnswer: -2544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114230 + 1?\nAnswer: 114231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 17*r - 58 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23204\/7 - -3315. What is the biggest value in -4, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (1 - 1) + -1 - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 4*v + 2. Calculate p(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21052 + -5?\nAnswer: -21101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 25296.3 + -82134\nAnswer: -56837.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(4 - 0) - -28. Suppose 5 = 5*i, -3*h + 10 = -0*h - 2*i. Suppose 14 + 6 = -5*u - 4*t, 0 = -u - h*t - j. Solve -2*s + 7*s - 10 = u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - (-1 + sqrt(720)*-2))**2*-6 + ((sqrt(720) - (sqrt(720) + -1 + 1)) + sqrt(720))**2 + -2.\nAnswer: -38168 - 432*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38447 by -193.\nAnswer: -38447\/193","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/n**(-35))\/n)\/n**(-2\/7))**(1\/77) assuming n is positive.\nAnswer: n**(254\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -111951.4?\nAnswer: -111954.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x - 5*i = -29, -x + 4*i = -20. Suppose -4*q + 11 = -1. Solve -3*p = -3*y - 21, 0*p + x = -q*y + 4*p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001 + -1?\nAnswer: -111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3087 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 17*n**2 + 24*n - 20. Suppose 55 - 23 = 2*y. Let s be p(y). Calculate the greatest common factor of s and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7598 + -7601.591. Let o = -6.5 + 10.1. Let g = j + o. Round g to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -193 - -196. Suppose g*v = x + 1100, 5*v - 1056 - 775 = 4*x. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/23717?\nAnswer: -1\/23717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177 <= 1958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28304, 56587, 84850, 113093, 141316, 169519?\nAnswer: 197702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 723 and -3?\nAnswer: -2169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00133046977 to 7 dps.\nAnswer: -0.0013305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 112 + 8 = 0. Let g(x) = 113*x + 1610. Let k be g(-14). Let v = d - k. Solve -v*l - 3*z + 0 = -1, -2*l - z - 5 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -322332 (base 4) to base 7\nAnswer: -14001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -159073, -318176, -477279, -636382?\n\"Answer: -159103*z + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**4 + b**3 - b. Let k(g) = 9*g**4 - 3*g**3 + 6*g**2 - 6*g. Let a(h) = k(h) - 6*o(h). Suppose a(t) = 0. What is t?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*j**2 - 13*j**2 + 67*j**2 + j**2 + 0*j**2 + 5*j**2 + (5*j - 2*j - 2*j)*(j + 0*j + j) - 4*j**2 + 6*j**2 - j**2 - j**2 + 3*j**2 - j**2)*(1 - 1 - j**2).\nAnswer: -45*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 14608*z + 408902. What is d(-28)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149352 is divided by 341.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 3. Let h be q(3). Suppose -111 = 6*n + 63. Let m = n + 56. What is the greatest common factor of m and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2086.23259 rounded to the nearest integer?\nAnswer: 2086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -124002423 + 4?\nAnswer: -124002419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 17 = 25. Suppose 0*l + 2*l - g*m = 50, -3*l - 2*m + 75 = 0. Calculate the remainder when 69 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -0*z + 5*z. Suppose z = 4*y + 4*o + o - 515, -5*o - 525 = -4*y. What are the prime factors of y?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1322?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/3*312\/(-520)*-15\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yftyymymyrfaaaymf. What is prob of picking 1 r and 1 y?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from {e: 3, a: 3, n: 3, h: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 8 = -4*i. Suppose 10 = i*r + r. Suppose 0 = 4*c - r*c - 368. What is the highest common divisor of 23 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 136*c + 1006. Calculate v(-11).\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 212.82 + -213.22. What is the closest to 1 in d, 0.4, 2, 226.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/2310 + (-155)\/(-165)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.077, 3, 0.1, -2\/23, -0.532.\nAnswer: -0.532, -2\/23, 0.077, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 252112*h**3*r**3 - 33*h**3*z - 5*h**2*r**2*z + h**2*r*z + 3*h*r**3*z + 34*r*z - 375*z wrt h?\nAnswer: 1512672*r**3 - 198*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2226*s + 2730*s + 2*s**4 - 4435*s - 159*s**3 wrt s.\nAnswer: 24*s**2 - 954*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40680026 divided by -2141054\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24422 is divided by 12175?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1962984785 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -669708 divided by -13\nAnswer: 51516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z**2 - 5*z**2 - 3*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -163099 * -1.7\nAnswer: 277268.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 2637622368?\nAnswer: 13188111840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 4*n**2 - 2*n. Calculate g(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -519*y**4 + 515*y**4 + 16 - 5*y + 3*y**3 + 6*y as x*y**4 + s*y**2 + k*y + t + p*y**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/5 + 11*v**2\/5 - 7*v + 5 = 0 for v.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-28)*1*(0 + -3 - 1). What is the nearest to -0.1 in c, -7, -8, -5\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 0 + 1\/2*w**2 - w + 0*w**3 + 1\/6*w**4. Differentiate f(p) with respect to p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - -2*sqrt(85))*-4 - 3*sqrt(85)*1)\/(sqrt(35)\/(3*4*sqrt(7) + sqrt(7))).\nAnswer: -195*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47222 + 63687 - 4*f**2 + 3*f**2.\nAnswer: -f**2 + 16465","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 37 = 5*g, -2*z + 10*g + 28 + 10 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 256146841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4 + 170\/(-4). Let y = 124 + -30. Let w = t + y. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(0 + (3 - 2)). Suppose 2*u - 11 = t. Let m(a) be the third derivative of a**4\/24 - 11*a**3\/6 - 725*a**2. Determine m(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.5 + 27.9. Let v = 13.557 - 0.157. Let c = j - v. Which is bigger: -2\/5 or c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -125 - -124.95. Let d = -82 - -83.99. Let t = 0.01 + d. What is the smallest value in -1, t, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 16*a + 21. Give p(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-1 - 0)*-90. Let o = -93 + 42. Let y = o + f. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2364?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (-43 + -125 + -31 + 60)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21446141 (base 8) to base 6\nAnswer: 242425013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 0 + 0*m**4 - 10*m**2 + 13\/6*m**3 + 1\/35*m**7 + 0*m + 0*m**5 + 0*m**6. What is the derivative of o(s) wrt s?\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0.421853?\nAnswer: -0.421853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35719035 divided by 2381269.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-14 + 11 + -30)) + -16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3106, -11801, -26120, -46057, -71606, -102761, -139516?\nAnswer: -181865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 3:34 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 2:43 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-3\/2)*t)\/t)**(3\/35)\/((t\/(t**(-1\/3)*t))\/t**13) assuming t is positive.\nAnswer: t**(2651\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-39)\/26*4\/6. What is the units digit of 21780\/30 + -10*d\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/8)\/(5\/20). Suppose -5*t + r*t - 10 = 0. Let l = t - -14. What is the remainder when 15 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 22. Let o be v(-8). What is the closest to -1 in -1\/11, -0.4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*t - 4, 2*o - 7 = 3*t - 6. Solve 13 - 5 = -o*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62023 is divided by 220?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 407 - 315. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3345087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 44 (b) -3\/2 (c) 12031\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 490 and 1970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7*a**2 - 11*a + 3. Let x(f) = -10*f**2 - 16*f + 4. Let l = 8 + -13. Let d(h) = l*x(h) + 7*b(h). Let j be -4*((-3)\/(-2))\/3. Calculate d(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 10488*c - 6874884.\nAnswer: -4*(c - 1311)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*c + 16 = 4*q, q - 4 = 3*c. Let v be (2 - (1 + -1)) + 1. What is the third derivative of c*p**v - 3*p**3 + 4*p**3 - 2*p**2 wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/(-6) + 3)*8. Let a(s) = -s + 2. Let b(l) = -6*l + 15. Let c(h) = 15*a(h) - 2*b(h). What is c(k)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/10)\/(2\/6*9).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2122 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/10836 and 179\/1386?\nAnswer: 119196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 16*w - 30. Let b be o(2). Let l(s) = 4*s**b - 1178*s + 588*s + 589*s. Give l(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1041 - 1006. Suppose 0 = 5*d, -3*d - 25 = -9*k + 4*k. What is the highest common divisor of b and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + 1 + -5 + sqrt(22)\/sqrt(162) + -5 + 4.\nAnswer: -5 + 19*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10 + 13 + (-64294)\/12. Let b = y - -5338. Let k = 27532\/17703 + 2\/5901. Calculate the common denominator of k and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2421*y**2 + 337*y - 2 wrt y?\nAnswer: 4842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*v + 5. List the prime factors of (20\/8 - 3)\/(v\/708).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*q + 3*j, -5*q + 7 = 4*j. Solve -4*a - 10 + 4 = 3*g, q*a = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and -10.7203.\nAnswer: -9.64827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v - 20 = 18*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -6. Which is greater: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1211011\/30 + -40372. Let d = -6\/10895 + -707977\/359535. Find the common denominator of h and d.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33\/9830 or -1?\nAnswer: 33\/9830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/((-150)\/(-4)))\/(1*2\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/7 + 62570*a\/7 - 579800.\nAnswer: -2*(a - 31220)*(a - 65)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -51, -85, -119, -153?\n\"Answer: -34*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 12:52 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10\/(60\/186) + -9 and 474.\nAnswer: 5214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8584\/303 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - 10682?\nAnswer: -10670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4321*u**2 + 2*u**3 + 2173*u**2 - 13 + 2*u + 2157*u**2 to the form r*u + v*u**3 + t*u**2 + j and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03 - -0.09. Let f = 2043\/755 + -318\/151. What is the closest to c in -3\/5, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29178 = -2*q + 4*v, -6*q + 14590 = -5*q - v. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1921, -3865, -5817, -7783, -9769?\nAnswer: -11781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + j - 12. Suppose 10 = z - 0*o + o, -j*z + o + 50 = 0. What is the lowest common multiple of z and 21 + 1\/(-1) + 0?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -9*x - 0*x. Let i(u) = u**x - u**2 + 2*u + u**2 - 3 + 5*u. Calculate i(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2 - (-135)\/10. Let o be (-4)\/10 - (-111)\/g. Find the second derivative of -3*w - 2*w + 3*w**4 - o*w**4 + 2*w wrt w.\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 5*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00912 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 399*l - 404*l - 6 = 0, -4*l = 10*a - 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67\/57 - 355\/399. What is the biggest value in 2\/41, j, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -284993884.9 rounded to the nearest 1000000?\nAnswer: -285000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.205369 plus 2251025?\nAnswer: 2251058.205369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.012, 4.42543, 4 in ascending order.\nAnswer: 0.012, 4, 4.42543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -42*t - 4. Let l be b(0). Put 14, 3, l, 6, -5 in decreasing order.\nAnswer: 14, 6, 3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118 - -124. Suppose -29 = -u*h - 23. Let l be 4\/(-8)*h*14. Put 0, l, 3 in decreasing order.\nAnswer: 3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66 - 83) + -10 + 21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1 + 2*l**2 + 7 - 10*l - 3 - 3*l**2. Is 12 a factor of c(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -19. Suppose -3*g + 9 = j, -4*c + 3*g = g - 11354. Suppose -5*h = -c - 365. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x - 31. Let z be l(8). Let f be z\/(-7) + (-27)\/(-1). Let q(m) = -43*m - 1. Let n be q(-1). What is the greatest common divisor of f and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 121085570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -39, 3, 983 in increasing order.\nAnswer: -39, -3, 3, 5, 983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 73*m + 0.\nAnswer: -73*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m = -14 - 46. Suppose -m*l + 2*w + 40 = 0, -2*l + 4*w + 29 = 5*w. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**0)**(2\/3))**32)**36 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -984 divided by 246\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5345 - 2355. What are the prime factors of j?\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + j = 86, 0*j + 94 = 2*f - j. Calculate the highest common factor of f and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/20)\/((-27)\/(-15) + -2). Suppose 4*h - 2 - 10 = 0, y*h = -l + 105. Calculate the highest common divisor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 2*z**2 + 2*z. Let o be h(-2). Let p = 86 - o. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8004)\/(-116)*(-1)\/3.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8106307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2.2 (b) -5\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - f + 1. Let m(z) = z**2 + 5. Let b(x) = -m(x) + 2*n(x). Suppose -5*q = -0*q - 20. Give b(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -159 and -28626395608.\nAnswer: -28626395767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -627 + 77?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -6\/7 (c) -1989\/194\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -70. What is the remainder when l is divided by ((-3)\/(-9) + (-50)\/6)*-3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209b40 (base 14) to base 3\nAnswer: -2002000102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 + 73. Let b = 56 + h. Calculate the greatest common divisor of 40 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 803517401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 4:44 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 - 6*f + 3. Let l(b) = b. Let a(c) = c**2 - 4*c - 6. Let y be a(6). Let w(q) = y*l(q) + d(q). What is the derivative of w(g) wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(40\/(-50)) + -5. Let r(a) = -a**2 - 12*a + 15. Let c be r(-13). Sort 3, -7, y, c in decreasing order.\nAnswer: 3, c, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18004982 is divided by 19236.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*n = 72*n - 24 + 661. Calculate the remainder when 3669 is divided by n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26239, -52477, -78715, -104953?\n\"Answer: -26238*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 + -0.02. Let m = 1441.6 - 1442.6. Which is the third biggest value? (a) m (b) f (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/652 and -37\/128.\nAnswer: 20864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 8 + (-9472)\/1152\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1193 - 53683\/45. Let n = -18 + 26. Suppose -11*a = -16*a + n*a. Which is smaller: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u + 9. Let d be w(4). Let l be (d\/12)\/(3\/4). Which is the closest to l? (a) -2 (b) -0.3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -410, 1, -2 in increasing order.\nAnswer: -410, -5, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -3. Let z be (-34)\/(-8) - (-1)\/i. Suppose z*u - 22 = 2*u. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 0.01, 183, 15\/49, -2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-6))\/(4\/12). Suppose 0 = -2*l + m + 1. Let f be -9*(2\/(-6) + 0). Solve -2 - l = f*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16998?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/102 and -131\/948.\nAnswer: 16116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a - 118*a + 15*a)*(2*a**2 - 4*a**2 + 0*a**2).\nAnswer: 188*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -3 - (19 + (10 - 29))) + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 14 - (-26 + 7 - 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 12:01 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 0*o**6 + 0*o**3 + 13*o - 3\/4*o**4 - 5\/21*o**7 + 0*o**2 + 0 + 0*o**5. What is the third derivative of f(r) wrt r?\nAnswer: -600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -19. Let h be a\/15*(-1206)\/10. Let z = 81 + h. Calculate the common denominator of -101\/10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52125362.\nAnswer: 2, 233, 111857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322718.7 years to centuries.\nAnswer: 3227.187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 3*v**3 + 57. Let w(n) = -17*n**2. Give r(w(y)).\nAnswer: 2601*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11215 - 246777\/22. What is the common denominator of v and 37\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-10 - 29) - (73 + 0 + -2 - -1).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 21 = 3*m, 4*m - 16 - 6 = -2*i. Let k = 6 + m. Suppose 0 = -k*o + 11*o - 9100. What is o rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + j**2 - j. Let f(q) = 6*q**3 + 2*q**2 + 8*q. Let c(b) = f(b) + 4*t(b). Factor c(k).\nAnswer: 2*k*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 36. Let k(y) = -y**2 - 12*y + 35. Let j be k(f). Suppose 4*p - j*p - 9 = 0. Which is bigger: p or -15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -303 and 8.18442.\nAnswer: -294.81558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5\/3, -0.1, 43\/3, -2\/23, -0.4, -5.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408, 1597, 3574, 6339, 9892, 14233, 19362?\nAnswer: 25279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 276 = -44. Let d = 165 + -250. Let w = d + p. Which is smaller: w or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(19) + (sqrt(2736) - -2*sqrt(2736)).\nAnswer: 5 + 37*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 725306797?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*c + 13*c + 10*c to z + r*c and give r.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2. Let d(i) = 9*i + 10. Give d(f(t)).\nAnswer: -9*t**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/55)\/((-15)\/18).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**5\/60 - f**4\/24 - f**3\/2 + 2*f**2. Let t be c(5). Suppose 5*g - t + 7 = 0. Solve g*l - 6 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n + 4*w = 368, -5*w + 553 = 3*n. Suppose 0 = -3*p + 3*u + n, 3*u + 138 + 106 = 4*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) 1\/3 (b) -32.3 (c) 4 (d) -0.2 (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -24, 70, 8, 8\/27, 5, 1?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 5*l**2 + 3*l - 1. Let y be u(-4). Let q be (5\/3)\/(y\/9). Suppose -q*p = 4*s - 41, 4*p = 4 - 0. What is the least common multiple of s and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -38) + -11 + 11\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9639 is divided by 836?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/12 - (-6)\/(-9). What is the third derivative of 177*a**2 - 69*a**3 + 157*a**2 - 250*a**w wrt a?\nAnswer: -414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.2*643029.\nAnswer: -18776446.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16084*u - 8057*u + 1 + 8 - 8052*u - 2.\nAnswer: -25*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5210 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(12 + 75\/(-6)). Solve -9 = -5*r - 4*f, -4*r + y*f = 3*f - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k - 8. Let m(n) be the second derivative of n**3\/6 + n**2\/2 - 26*n. Let h(o) = -4*m(o) - x(o). What is h(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 6*o**2 + 2*o + 12. Let p be y(-6). Let s = 6 - 3. Let h = s - 3. Do p and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43 + -1570077?\nAnswer: -1570142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(153) - sqrt(153) - sqrt(153)))\/(5*sqrt(36)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 49 - 16)*(-3*f + 5*f + 3*f)*(141 - 94 - 67).\nAnswer: 7100*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1017459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -95453 - 249187. Is 96 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*b + 2 - 2 + 510*b)*(16 - 4 + 4).\nAnswer: 7504*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1997, 1989, 1967, 1925, 1857, 1757, 1619?\n\"Answer: -a**3 - a**2 + 2*a + 1997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 527864501 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/6, 33, -1, -33\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = f - 4963, -5*f + 2*c + 6563 = -18291. Let i = f + 1429. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2. Let n(i) be the third derivative of 3*i + 0 + 0*i**3 - 2*i**2 + 1\/6*i**4. Calculate n(b(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -92683, 5, -0.3, 0.05 in ascending order.\nAnswer: -92683, -0.3, 0.05, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjhghhgjjjhhjj. What is prob of picking 1 j, 1 g, and 1 h?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -178*r + 19054. Let n be y(107). What is the second smallest value in n, -2\/7, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, r: 5}. What is prob of sequence srsr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 + 4*h - 1. Let j = -135 - -133. Let k(x) = -1 + 5*x - 14*x**2 + 10*x**2 + 0. Give j*k(s) + 3*d(s).\nAnswer: -s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-68)\/(-10) + -15?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a kilogram in grams?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 288.5 + -288.2. Which is the closest to 0? (a) 8 (b) s (c) -0.5 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47708 (base 9) to base 6\nAnswer: 403442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9*i + 186. Let t be n(21). Let m = 0.01 - 0.31. Which is the second biggest value? (a) -5 (b) t (c) m (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 735 divide 1702131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/(-245) - ((-910)\/1350 + 1\/1).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2595167045.\nAnswer: 5, 17, 2203, 13859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 172377 = 172485. Let p(r) be the first derivative of -r**2 - 8*r + 1. Give p(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 52 + 2 = 0. Calculate the remainder when 49 is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 94 and -2.7?\nAnswer: -253.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**3*w**2*z + 1892*l**3*w**2 + 3*l**3*w*z - 63*l**3*w + 2*l**3*z - 4*z wrt w?\nAnswer: 4*l**3*z + 3784*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289 - 2*f**3 - 294 + 7*f**3 + 844 - 261.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyi when three letters picked without replacement from {l: 3, i: 1, y: 2, s: 5, e: 3, m: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2909 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1173, 4598, 10343, 18408, 28793, 41498, 56523?\nAnswer: 73868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 0.24, -0.3, -119, 0.04 in descending order.\nAnswer: 0.24, 0.04, -0.3, -26, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-5))\/(v\/(v\/(v**(3\/7)*v))))\/(v**(1\/2))**(-3)*v**(1\/4)*v\/(v*v**(-1\/6))*v*(v*v**(-1)*v)**(-5) assuming v is positive.\nAnswer: v**(209\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g + 6. Let r be l(4). Which is the closest to -1? (a) 0.1 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = 5 + 17 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -109135.213729 - -109135. Let v = q + 0.214. Round v to five decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -7. Suppose -4*d + 126 = 2*n, -45 = -d - l*n - 12. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 10*u**2 - 3*u**2 - 2*u + 24*u**3 + 11*u**2.\nAnswer: 24*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75777644?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t**4 + 4*t**2 + 24. Let x(y) = 14*y**4 + 7*y**2 + 47. Let k(q) = 7*a(q) - 4*x(q). Differentiate k(s) with respect to s.\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13537523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 10*q**2 - 13*q - 19. Let n be w(3). What is the closest to -1\/6 in n, -3, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100111121 (base 3) to base 14\nAnswer: -274c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 53*s - 8616. Let t be j(-71). What is the greatest common factor of 1645 and t?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 1:48 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53360 and 215760?\nAnswer: 4962480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 9 + 8*v**3 + (5*v - 5*v + v**2 - 1)*(0*v - 3*v + v + (-3 - 2 + 4)*(-4*v - v + 4*v) - 2*v - 2 + 2 - v + 7*v + 0*v).\nAnswer: 11*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*k - 48*k = -3412 - 2938 - 904 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - -63?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 1, r: 1, m: 1, s: 1}. Give prob of picking 1 l and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/3)\/((-2 - 9) + 612\/54).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 64 = 5*f - 5, 3*z - 41 = -2*f. Suppose 0 = -15*y + z*y - 14438. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - (sqrt(132)*-1 + sqrt(132))\/sqrt(4) - (sqrt(132)\/sqrt(16) - sqrt(33)))*-6)\/(sqrt(75)*1 + sqrt(3) - (sqrt(192)*-2 - sqrt(3))).\nAnswer: -9*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351 and 6504444.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 z when four letters picked without replacement from uzuzzzuuzuuuzuuzuzuz?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1441, 4 in descending order.\nAnswer: 4, 3, -1441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -67. Suppose 0*x = 4*x + 96. Let s be (-36)\/((-4)\/(x\/(-9))). Calculate the greatest common factor of s and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1\/7 (b) -2\/13 (c) 2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**0)\/p**6)\/(p**1*p)**32)**(-13) assuming p is positive.\nAnswer: p**897","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1445441 + 841712 = -4683*r + 4694*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2541 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = -0*q + 144. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.51 - -0.49. Let r(l) = -l - 9. Let g be r(-9). Which is the closest to -2? (a) f (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*g = -77*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - a - 4*a + 102 = 0, a = -3. What is the greatest common factor of x and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*w - 153104 = 80*w + 2*f, 5*w + 5*f = 191335. What is the ten thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 i when two letters picked without replacement from {q: 8, i: 3}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**5 - 87*t**4.\nAnswer: 3*t**4*(t - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1244\nAnswer: -3\/1244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 4:47 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/7 + 88*y + 15972\/7.\nAnswer: 4*(y + 33)*(y + 121)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-14)*-4)\/(39\/((-88452)\/72)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(36\/(-45))\/((-16)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601430*v = -601577*v + 6762 for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/5 and 11\/1130?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**21)\/b*b\/(b**25\/b)*b*b**(-4\/15)*b*b*(b*b\/(b*b**(-17)))\/b*b*b assuming b is positive.\nAnswer: b**(-334\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + 2 + -5 + 0. Let l be -4*-6*r\/8. Solve 0 = 3*p + 4*k + 8 - 31, k + l = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*h**3 + 31*h**3 - 6*h**3)*(2 - 9*h + 0*h + 7*h).\nAnswer: -30*h**4 + 30*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-20)\/(-72)*6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 20 + 0 = 0. What is the third derivative of -35*d**3 + s*d**5 - 4*d**2 + 35*d**3 wrt d?\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 72, 106?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*a - v, 4*a - 2*a - 40 = 3*v. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1980 and 2420?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/20*(-8)\/3 + 2435. Let v = -876 + c. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 2, q: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -188909868*h**3 + 3*h**2 + 49*h - 272968?\nAnswer: -1133459208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 0 - 5\/6*p**3 + 3*p**2 + 28*p - 1\/12*p**4. Determine b(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10423943 and 1947?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o*r**3*s + 120765*o*r**2*s**2 + o*r**2*s + 2*o - 83283832*r**3*s**2 - 19*r**2*s**2 - 6*r wrt r.\nAnswer: 12*o*s - 499702992*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0166 from -504817.6.\nAnswer: -504817.6166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (5 + (-5 - 6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -189, -203?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8*21*(-23)\/(-4508)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25603683 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 2*j**2 - 3*j - 6. Let m be t(-3). Let p be -2*-51*3\/m*1. Let o = p - -89. Calculate the highest common factor of 19 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 20 = -3*x. Let s(r) = r**2 + 17*r - 22. Does 16 divide s(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4218, 8286, 12388, 16530, 20718?\nAnswer: 24958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:54 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1264 is divided by 121?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 7. Determine g(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4 + 2*k - 4. Let m(u) be the third derivative of -2*u**2 - 1\/8*u**4 + 0*u + 0 + 0*u**3. Determine m(w(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ssscssssscs.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b - 19. Let o(n) = 23*n + 68. Calculate d(o(x)).\nAnswer: 92*x + 253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/2057 and -74\/561.\nAnswer: 6171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*t - 23. Suppose -3*g - x + 0*x = -207, 0 = 4*g - t*x - 295. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1243745, 1244063, 1244379, 1244693, 1245005?\n\"Answer: -c**2 + 321*c + 1243425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15144427 to the nearest integer?\nAnswer: 3892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**8\/23520 - s**7\/2205 - s**6\/630 + 7*s**4\/24 - 2*s**2. Let y(n) be the second derivative of w(n). Factor y(i).\nAnswer: -2*i*(i + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, u: 1}. Give prob of sequence aua.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -459, -1035, -1843, -2883?\nAnswer: -4155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 0 - 8\/15*j**2 + 0*j**3 + 0*j + 2\/15*j**4 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + 2 + (288 - 4). Let x = -675 + s. Let g = x + 545. Round g to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 762.\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*d**3*g*n - 2908*d**3 - 367*g + 25847*n**2 + n with respect to n.\nAnswer: 16*d**3*g + 51694*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -42, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*k - 2394 = 76*k. Let t(z) = 402*z**2 + 2*z - 2*z - k*z**2. Let m(l) = 7*l**2. Give t(m(q)).\nAnswer: 147*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -9\/47996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -493*m**2 + 658*m**2 - 168*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-225 + 222)*(4 - -5).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 858, 1724, 2596, 3474?\n\"Answer: 3*g**2 + 857*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-120)\/(-56))\/5 + (-48)\/63. Is 2801 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10473398.\nAnswer: 2, 13, 402823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(54\/12)*(-11 + 1177\/110)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/15)*p)\/(p*p\/p**(-3)))**(-6\/37)*(p*p*p**(-2)\/p*p)**10\/(p**(1\/4))**(3\/40) assuming p is positive.\nAnswer: p**(733\/1184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = 36*g + 38*g + 124. Let a = 17 + -9. Let f = -5 + a. What is the nearest to -0.4 in f, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**2 + 660*x + 2576 = 0 for x.\nAnswer: -161, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -48 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4739 bigger than 4740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-560)\/980 - 1487211\/(-21)?\nAnswer: 7, 67, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.554, 4, 3\/4, -4, 2\/23703, -2?\nAnswer: 0.554","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30484, 120633, 270888, 481255, 751740, 1082349, 1473088, 1923963?\n\"Answer: o**3 + 30047*o**2 + o + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 d, and 1 b when four letters picked without replacement from qbqbqqdqqbqbddd.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w + 19. Let h be j(-3). Let l = h - -29. What is the highest common divisor of 63 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1241165 * 0.036\nAnswer: 44681.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t = 32*t - 166. Does 83 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 56\/(-28)*(18\/4)\/9. Is s not equal to -1\/1093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3\/3 + 158*u**2\/3 + 712*u\/3 - 2072\/3 = 0. What is u?\nAnswer: -74, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -19 (c) 4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 111*o + 7112. Calculate w(-64).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1018, 53, -1, -3 in decreasing order.\nAnswer: 1018, 53, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*2*(-6*((sqrt(440) - (sqrt(440)*-1 - sqrt(440) - sqrt(440))) + sqrt(440)))\/((sqrt(160)\/sqrt(4))\/sqrt(4)))**2.\nAnswer: 35640000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 32 - 48*r**2 - 46 + 51*r**2 + 118*r**2.\nAnswer: 121*r**2 + r - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -17*q + 88 - 16. Suppose 5*a - 15 = 0, 3*u - 3*a = -4*a + 15. Solve -d - 29 = 8*l - q*l, -40 = 5*d + u*l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92.727546178 + -23.731659179. Let w = m + 0.004311001. Let g = -69 + w. What is g rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o. Let q(s) be the first derivative of -s**3\/3 + 2. Calculate q(i(t)).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h + 8 = -32*h - 4*k, 0 = 4*h + 5*k + 10. Let x(d) be the third derivative of -2\/75*d**5 + 1\/60*d**4 + 0*d**3 - 16*d**2 + h + 0*d. Factor x(v).\nAnswer: -2*v*(4*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 63\/2 of a meter in millimeters?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert -3124142 (base 5) to base 3.\nAnswer: -2122001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*d**2 + 21*d**2 + 10*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*t**3*z - 7035*t**2*z**2 - 60921*z**2 wrt t?\nAnswer: 6*t**2*z - 14070*t*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*5\/45*-30. Is 632\/2 - n\/(-50)*-5 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -265385, -1061549, -2388489, -4246205, -6634697, -9553965?\n\"Answer: -265388*o**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/9 and 25\/95787.\nAnswer: 95787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -169, 1, -272357 in increasing order.\nAnswer: -272357, -169, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1121210 (base 3) to base 14\nAnswer: -606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((-2)\/4*-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114678?\nAnswer: 2, 3, 23, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-1)\/8)\/(9\/27)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -180.3 + 179.507. Let v = -0.436 - w. Let o = 0.3 - v. Round o to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 6*r + 10. Let q be j(3). What is the closest to 0 in -3\/158, -0.5, q?\nAnswer: -3\/158","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 - o**2 - o**2 + (2 - 2 + 3*o)*(-3 + 5 - 3)*(2*o - 2*o - o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 4*v**3\/3 + 3*v**2\/2 - 6*v + 1051. Determine i(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 109665*o - 109660*o + 13, -4*o - 8 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5180 - -5182. Let c(b) = 3*b**3 - 3*b**2 + 1. Let f be c(2). Which is greater: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/sqrt(2) - 2*sqrt(612) - (sqrt(816) - sqrt(51) - sqrt(51))\/sqrt(3)*-3)**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 - 4*j + 9. Let s(o) = -4*o**2 - 3*o + 9. Let w(x) = 3*p(x) - 2*s(x). Let g be w(-7). What is the highest common divisor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -41*f**5\/10 + 185*f**3\/6 + f**2. Find the first derivative of a(d) wrt d.\nAnswer: -492*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 1. Let d(h) = -36*h**3 - 45. Calculate -d(l) + 45*t(l).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (0 + sqrt(567) + 0)*-3 - -5*5*(-2 + sqrt(567) + 3))**2 + -3.\nAnswer: 8316*sqrt(7) + 274866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 179\/4 + -45. Let d(z) = z**2 - 5*z - 30. Let n be d(9). What is the closest to l in 2, n, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, 1\/2 in increasing order.\nAnswer: -8, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s. Let y(d) = 96*d**2 + 8. Calculate m(y(z)).\nAnswer: -96*z**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 10. Is (-1)\/(-2) + 362\/g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 10410605\nAnswer: -10410605.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3734 (base 10) in base 16?\nAnswer: -e96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15022, 15024, 15026?\nAnswer: 15028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y - 24049630 = 4783. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1050908.19 - -1050909. Let q be 4\/(-3) - (2 - 2). Which is the second biggest value? (a) z (b) q (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59216133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s + 1. Suppose 19*u = -3*u - 176. Give t(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -10*g**7\/21 - 9*g**3\/2 + 17*g + 47. Let p(s) be the first derivative of l(s). What is the second derivative of p(r) wrt r?\nAnswer: -400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-5)\/(-45) + (-4)\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 3:16 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3066 and 48027.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -140 - (-1 - (88 + -15)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 5, -2, -1, 0.39?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15b + 168d5c?\nAnswer: 168eb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnfn when four letters picked without replacement from fhznffffnnfnf.\nAnswer: 7\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -179904978.42 from 1.\nAnswer: 179904979.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*j + 2. Let f = j - -1. Suppose 0 = -f*y - 5*y - 2*a + 104, y - a - 25 = 0. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47721237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/57 and -113\/30.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 + 3*c**2 - 3*c + 14. Let s(l) = 8*l**3 - 16*l**2 + 16*l - 72. Give -3*s(g) - 16*y(g).\nAnswer: 8*g**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((4 + (sqrt(605) + sqrt(605) + -2 + sqrt(605) - sqrt(605)) - sqrt(605))*-4*-1 + 1).\nAnswer: 27 + 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -114*r - 3. Let q be n(-2). Suppose k - 6*k = -q. Calculate the greatest common divisor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**3\/3 - 7*l**2\/2 + 6*l + 2. What is the units digit of k(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4074, 8284, 12392, 16398, 20302, 24104?\n\"Answer: -51*s**2 + 4363*s - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = j + 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 greater than -643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222912 is divided by 1402.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 190 and 12616?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2792*d**3 - d + 2793*d**3 - 3*d**2 + 2*d**2 - 2. Suppose 0 = 2*s - 5*s - 6. Give v(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 11:32 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.95 - 1.45. Let z = -141 - -140. Let b = 0.03 - 3.03. Put f, b, z in descending order.\nAnswer: f, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2014485 months in years?\nAnswer: 0.016787375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-3)\/(-2)*-2. Suppose 0 = 4*w - 3*f + 3, -w - 2*f = 2*f - 23. What are the prime factors of t\/w - (-39)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a + 61. What are the prime factors of b(18)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaakkaaaaa. What is prob of picking 1 a and 1 k?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - n**2 - n. Let r(g) be the first derivative of g**3\/3 - g**2\/2 - 2. Suppose 2 = -25*x + 27*x. Let y(p) = x*s(p) - 2*r(p). Determine y(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -167? (a) 0.072357 (b) 0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 0*x**2 + x**2 - 2*x**3 - x - 18*x**4 + 16*x**4 + 0*x**3 to the form k*x**4 + a*x**3 + p*x**2 + r*x + q and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**3\/3 - 11*a**2\/2 + 27*a. Let s be h(4). Does 6 divide (s + (-395)\/(-10))\/((-1)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 4*w = 34, 2*h - w - 29 = -4*w for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20013 + -4253?\nAnswer: -24310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135 - 16?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 165590 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = y + 807*p - 805*p, -5*y - 4*p = 29 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 246 + -438. Let h = -178 - i. What is the remainder when 67 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14519 * -38154.\nAnswer: -553957926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3256 = -11404*h + 11492*h for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2379*q**2*y + 3*y + 181 with respect to q.\nAnswer: -4758*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, i: 9, j: 1}. What is prob of picking 4 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4844583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 98?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 - -19. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17319 is divided by 8563.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1687 + -1684. Solve -s*d - 7 = q, -5*d = -3*q + 5 + 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*a - 14 + 5*a + 12*a wrt a.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-32))\/(-26 - (-445)\/20)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 11*g**8\/336 + g**6\/20 + 69*g**4\/2 - 155*g**2. What is the second derivative of i(r) wrt r?\nAnswer: 220*r**3 + 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142961680.\nAnswer: 2, 5, 1787021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*u**3 + 1201*u**2 + 0*u**3 - 1206*u**2.\nAnswer: 5*u**2*(5*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 3744*p - 3742*p + 142, -5*p = 8*k + 377 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 14*u**2 + 222*u - 4. Let l(z) = -12*z**2 - 224*z + 3. Determine 3*a(d) + 4*l(d).\nAnswer: -6*d**2 - 230*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/105 + ((-53845)\/(-562947))\/1. Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 4*a + 15508 - 15521, 4*a + 27 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5*5 - 0\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Let o(i) = i - 8. Suppose 4*p - 2*y = 7*p - 19, 4*y + 32 = 4*p. Let b be o(p). Which is smaller: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f + 1 - 5 + 2 + (48*f - 6949 + 6949)*(-4 + 4 + 2) - 3*f + 5*f - 4*f.\nAnswer: 100*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 equal to -540\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3284 divide 63558536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v**2 - 3*v - 7. Determine y(-3).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 = -4. Let d(g) = 6*g**3 - 5*g**2. Let c(f) = 6*f**3 - 6*f**2. Let t(r) = n*c(r) + 4*d(r). Find the third derivative of t(v) wrt v.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206670509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17 + 770*y**4 - 740*y**4 + 6 wrt y.\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-626\nAnswer: -12.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -79*v - 86*v - 19 + 244*v - 80*v. What is f(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8692000 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.28909, -66, -1, -0.5 in increasing order.\nAnswer: -66, -1, -0.5, 0.28909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -23*l**4\/6 + 121*l**3\/6 + 6*l**2 - 4*l. What is the first derivative of v(i) wrt i?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: a455 (base 14) to base 8\nAnswer: 67213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3888 and 412290.\nAnswer: 9894960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11481 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 22, -1, 190, 167 in decreasing order.\nAnswer: 190, 167, 22, 11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-69)\/60)\/(((-1296)\/120)\/(-3))\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 126b2 (base 12) to base 8\nAnswer: 61146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 942387565 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 80620 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2890 (b) 3 (c) -2\/11 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/2)\/((-1)\/2). Suppose -d*i + 44 = n + 2*n, -4*i = -2*n + 66. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -707\/2 - -375. Find the common denominator of c and (6\/(-8))\/((-175)\/220).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 + 1. Let o = -6 + 2. Let d = 0.1 + -3.1. What is the closest to v in 2\/3, d, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, -1\/10, 107, 15.56?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 397\/2 + -199. Let m(v) = 2*v**2 + 12*v - 12. Let a be m(-6). What is the biggest value in -0.4, p, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -66. Let a be (2 - (-660)\/q) + 3\/(-12). Suppose -a = -3*h + 4*d + 46, -2*h + 78 = 2*d. Calculate the greatest common divisor of h and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*i = -82*i - 100 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*u + 4161 - 17271. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 + 5*l + 0*l**2 + l**2 + 2*l**3 - 2*l**2 + 3. Is d(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3858000 rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1643646?\nAnswer: 2, 3, 273941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 266 in 2, -4, -30\/7, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**0)**(5\/12))**(4\/9))**(-2\/21) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 75443\/(-6117) - (-390)\/36\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z + 10. Suppose -3*b - 4*a + 140 = -21, 0 = -b + 4*a + 43. Suppose -4*v = -v - b. What is the remainder when w(-7) is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 701\/10 + -70. Let s(v) be the second derivative of 1\/15*v**4 - v - l*v**3 + 0 - 1\/10*v**2. Factor s(m).\nAnswer: (m - 1)*(4*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - x = -3*o + 89, 2*o = 5*x + 55. What is the highest common factor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 584 a factor of 806407445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 374818.2 centuries in years?\nAnswer: 37481820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0091 times 0.0611534?\nAnswer: -0.00055649594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1033 + 1465. Is -2*(-2)\/14 - w\/(-7) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 - 2 = 0. Let i(x) = x - 4. Let z(d) be the first derivative of d**2\/2 - 5*d - 1. Give b*i(n) - 4*z(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -6. Let j = 3 + 0. Suppose -j*f + 6 = -3. Solve f*m - l - 2*l = 12, -q = -3*m - l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252 and 212?\nAnswer: 13356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 8*q = 84. Suppose 0 = 3*j - 0*j + q. Sort j, 0.1, 2\/3, -5.\nAnswer: -5, j, 0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 348 by 799.\nAnswer: 348\/799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(468) + sqrt(78)\/sqrt(6) + -2)**2 + ((sqrt(52)\/sqrt(100) + 0)*-3)**2.\nAnswer: -28*sqrt(13) + 16142\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j + 2*q = 4, 5*j + 5*q - 30 = 0. Solve h + 0*h = j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17462*v - 17388*v + 1258 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*b + 18 = 0, -2*x + 2*b - 2 - 2 = 0. Let d = x - -3. Suppose d*r - 384000 = -0*r. Round r to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17428 + -16425. What is the highest common divisor of 118 and v?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(1331) - (sqrt(1331) + -1 - sqrt(1331) - sqrt(1331))) + sqrt(88)\/(sqrt(64)\/sqrt(8)) - (-5 + (3 + -1*sqrt(11) - (sqrt(66)*1)\/sqrt(6)))))**2.\nAnswer: 350*sqrt(11) + 6924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*p - 18*p - 177 = 0. Suppose -885 = -o + 4*o. What are the prime factors of o\/(-5)*3\/p?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -1, 0.06, -4\/3 in descending order.\nAnswer: 5, 0.06, 0, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) 0 (c) 1\/33 (d) -2\/11 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 y when three letters picked without replacement from {m: 4, h: 4, y: 2, c: 6, f: 1}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186352164?\nAnswer: 2, 3, 17, 23, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8 = 3*z. Suppose -2155 + 378 = -236*r - 125. Solve 5*j - 5 = 0, r = -5*l + z*j - 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/9 - 39\/(-9). Suppose v + 5*s + 29 = 3*v, -i*v - 3*s = -19. Let m = v - -30. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -4 - 57\/(((-156)\/(-344))\/(-13))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 divided by 181110?\nAnswer: 74\/90555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 6. Let o(b) = b**2 + 6*b - 2. Let d be o(-7). Suppose g - 9 = 2*r, -r = -4*g - d*r + 24. What is the remainder when n(-6) is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3929 take away -0.2?\nAnswer: -3928.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -38 - (30 - -1 - (1508 + -1491))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79 * 0.11.\nAnswer: 8.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*i + 65*i. Suppose i = 2*b + 10, 3*b + 20 = -3*y - b. Is y bigger than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75*q*v**4 + 146*q*v**3 + 1910*q + 1 wrt v?\nAnswer: -300*q*v**3 + 438*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*c + 12793 = 18046 for c.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/168*(-14)\/(-12))\/(-10).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d - 3. Let w(g) = -4*g - 64. Let k(x) = -7*x - 80. Let i be k(-9). Let a be w(i). Solve -a*o = -2*c - 1 + 25, -d*o - c = 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from kbjzmmbo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.3 + 26. Let o = k - -5.3. Which is the third smallest value? (a) o (b) -0.1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367*u - 13*u**3 - 17*u**3 + 3*u**2 + 32*u**3.\nAnswer: 2*u**3 + 3*u**2 + 367*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -5\/6*a**3 + 7*a + 0*a**2 + 0*a**4 - 3\/5*a**5 + 0. Find the second derivative of s(p) wrt p.\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -12 + 3. Let i(f) = f**3 + 3*f**2 - f. Let x be i(n). Let t be -27*-2*x\/18. Solve -3*h + 3 = -4*h + r, r - t = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*y = -206, -2*w + 241 = 4*y + 35. Let z = 101 - w. What is the common denominator of -32\/15 and 2 - (((-203)\/12)\/7 + z)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*o - 385, -5*o + 0*o - 4*m + 385 = 0. What is the remainder when o is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c - 3. Let n(h) = 1. Let w(g) = -i(g) - 4*n(g). Suppose 3*j - 7 + 1 = 0. List the prime factors of w(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 180564483 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7 - -32)*(11 + (-294)\/35))\/(21 + -20).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 4*b - 3*s - 1, -2*b = 4*s. Let x(i) = 4*i + 5. Calculate x(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 3*b**3 + b**2 - 4*b - 5. Is h(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (sqrt(150)\/(-1*sqrt(3)) - sqrt(50)) + sqrt(50) + 2).\nAnswer: 3 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 - 181 - (-1 + 21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 195, 384, 651, 1002, 1443, 1980, 2619?\nAnswer: 3366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1 + 4 + 0*l + l - l**2. Let c be 12\/(-30)*195\/26. Determine v(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsssssvsvvs. Give prob of sequence sv.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**4\/12 - d**3 - 29*d**2\/2 + 33*d. Is b(-9) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 2*p**2 + 5*p. Let d(x) be the second derivative of 0*x**2 + 0 + 1\/12*x**4 + 2\/3*x**3 + x. Let w = 1 - 3. Determine w*h(i) + 3*d(i).\nAnswer: -2*i**3 - i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + 7)*((-2)\/(-2) + 3). Solve 7*x = 3*x - b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8 + 1674\/24. Suppose 5*z + 3*x - v = 0, z - x = 4*x - 14. Suppose -2*b + z = -3. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from {j: 1, x: 1, t: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -50043 divided by -1?\nAnswer: 50043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, -1, 1\/4, 0, -21.\nAnswer: -120, -21, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256909*v**2 + 130568*v**2 + 126358*v**2.\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14961 + 8064 - 8023*v - 12878 with respect to v.\nAnswer: -8023","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 366263, 366262, 366261, 366260, 366259?\n\"Answer: -y + 366264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 3*u - 9. Let j(x) = -3*x**2 - 10*x - 26. Let i(o) = -11*f(o) + 4*j(o). Let p be i(-2). Let a(l) = 4*l**2 - 3. Is a(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52615 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*g - 30 = 0, 0 = n + 3*n - g - 34. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 5*b + 45, 0 = 12*l - 5*b + 10 + 112 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -685?\nAnswer: 18\/685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**4\/4 - l**3 - 5*l**2\/2 - 2*l - 17. Determine o(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -29. Let b = 19 + 6. What is the nearest to -2\/5 in b, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -825 + 834. Let j(r) = 2*r**2 - 19*r + 10. Calculate j(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 1429623?\nAnswer: 7148115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -554242 smaller than -554242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -8. Let l be ((-38)\/(-1))\/(a + -2). Let g = -7 - l. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 4 + -10 + 8\/(-14) + (-246)\/(-357).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**5\/60 - c**4\/24 + 11*c**3\/3 - 27*c**2 - 2. Let j(k) = -k. Let y be j(0). What is the tens digit of d(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/9)*n)\/(n*n\/(n\/n**(-6)))*n**(-2\/5)*n**(-2\/15))**(-48) assuming n is positive.\nAnswer: n**(-4816\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 657 by -14.\nAnswer: -657\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -5 (c) 0.483\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**7\/o))*o)**(-11\/3) assuming o is positive.\nAnswer: o**(-77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -1\/30*l**7 + 0*l**6 + 0*l + 0 + 37\/60*l**5 - 48*l**2 + 0*l**3 + 0*l**4. What is the third derivative of d(w) wrt w?\nAnswer: -168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 2 + 1 - 5*a.\nAnswer: -5*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5766401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96 + 100. Suppose 2*c = m*j - 99200, 0 = -2*c + 5*c - 3*j + 148800. What is c rounded to the nearest 1000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/7)*r\/r**(-1\/3)*r*r**6*r*r\/(r*r**(2\/11)*r))\/((r**(4\/9)*r**(-1))\/(r**(-5)\/(r*r**(-2\/19)*r))) assuming r is positive.\nAnswer: r**(40792\/13167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -482f7 (base 16) in base 5?\nAnswer: -33430141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 128.75 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -10, -2 in ascending order.\nAnswer: -10, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 times 0.13?\nAnswer: -9.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-5)\/15)\/(14\/(-63)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 2*d**3\/3 - 2*d**2 + 2*d - 6. Factor c(b).\nAnswer: 2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(5\/400*-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 16*g + 114. Suppose 0 = -3*w - m - 10, -5*w + 19*m - 14*m = 50. Let a be u(w). Solve -35*c + 2 = -a*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*w = 88*w + 24. Calculate the remainder when 201 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 11*s**2 + s**2)*(45 + 4 + 2) + 3*s**2 - 4*s**2 + 4*s**2 - 2*s**2 + s**2 + 2*s**2.\nAnswer: -353*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -41332, 3256, 1 in decreasing order.\nAnswer: 3256, 1, -4, -41332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.91 + -0.9. Let u = -72 - -72. What is the third smallest value in 0.4, q, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10222 (base 3) in base 6?\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98227 + -5.\nAnswer: 98222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a minute in milliseconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/442200940 or -1?\nAnswer: 1\/442200940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62249 + -39390. Is b a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.154, 10\/3, 59, 12?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**2 - 3*q - q**3 + 0 - 2 - 5. Let i be l(-6). Let d = i - 57. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540*a + 176 = 544*a. Calculate the greatest common factor of 352 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {e: 2, w: 1, g: 1, i: 6, y: 9}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, p: 1, t: 3}. Give prob of sequence dd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t - 10730 = -17*t. Let i = -1401 + t. Suppose -4*b - i = -3*h - 270, -4*b = h - 169. Is 23 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 65*w + 300 = 0. Let z(p) = -3*p. Let c be z(-1). Let x = 5 + c. Solve -4*k + g = 2*g - w, 5*g = -k - x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -127 - 129 + 255 + 7*r. Give l(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -6*g - 50, 6*a = g + 8*a + 15 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 203 + -201. Find the third derivative of 4 - 4*w**6 + w**6 + 7*w**3 - 6 - 7*w**2 + 4*w**z wrt w.\nAnswer: -360*w**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 4*k - 10. Suppose 7*g = 6*g - 81. Let p be 65\/9 + 18\/g. Give l(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 213 - 125. Do i and 88 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2*l*u**3 - 10989*f**2*l*u + 2*f**2*l + f*l*u**3 + 4*f*l*u**2 + 76*l*u**3 + 1115*l wrt f?\nAnswer: -2*l*u**3 - 21978*l*u + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156 by -78.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 2 - (14 - 12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 minus 61?\nAnswer: -63.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/330 - ((-33288)\/(-4180) - 13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243 - 5*k**2 + 3*k**2 + k**2 - 84 - 86 - 80.\nAnswer: -k**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.11538 milligrams in tonnes?\nAnswer: 0.00000007011538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*(1 + sqrt(320) + sqrt(320)*-2))**2 + -3.\nAnswer: -256*sqrt(5) + 5133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 10*g**2 + 15*g + 2. Let k be v(8). Let x(z) = -z**3 + 7*z**2 - 4*z - 8. Let p be x(6). Put k, -1, p in descending order.\nAnswer: p, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7035282?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -547*v**2 - 5694 - 381*v**2 + 5690 as g + u*v + p*v**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-311 + 14*x**2 + 311)*(-3*x + 0*x + 4*x - x**2).\nAnswer: -14*x**4 + 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2734865\/66 - -250493\/6. Let m = 932\/3 - z. Find the common denominator of m and 65\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.049184144 to three decimal places.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 3:40 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -28387525.17 rounded to the nearest 10000?\nAnswer: -28390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -531 - -534. Let j be 2\/6*y*5. Solve -13 = -4*d - j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 0*y + 12 + 0*y**2 - 1\/4*y**4 + 11\/3*y**3. What is x(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 433 - -1233223?\nAnswer: 1234211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15960, 15961, 15962, 15963, 15964, 15965?\n\"Answer: m + 15959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -202000 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/15196 and 47\/32?\nAnswer: 121568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b + 3. What is the remainder when k(-11) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -203020?\nAnswer: 203031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 4*q**2 - 4*q + 12. Suppose -9 = -3*g - 0. Let a = g - -2. Let v be s(a). What is the greatest common divisor of v and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*c - 4*c. Suppose -153 = -5*u - 4*i, -2*i + c = u - i. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -4*y - 4*r - 668, y = -3*r + 145. Does 37 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times -237\nAnswer: 142.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 93*a + 628. What is the remainder when u(0) is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + r + 13. Let y(t) = -456*t**2 + 11*t + 143. Give 66*u(k) - 6*y(k).\nAnswer: 2802*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k + 2. Let j(l) = 4*l + 2. Determine 6*j(z) - 5*u(z).\nAnswer: 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b + 3*b - 3*b)*(-154 - 71 + 144) in the form f + a*b and give a.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 862.\nAnswer: 2586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 1 - (-25 + (-24 + 12 - -39)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 4)*3\/15. Let k = 3\/4 - 3\/20. What is the nearest to j in -3, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 7 - -6)*(-1)\/(-1). Calculate the least common multiple of 138 and 4\/(z - ((-90)\/(-4))\/9).\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 622 - 4631?\nAnswer: -4009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + 16 - 44 - -4) + 56?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 592\/15 - 7039\/180. Let g = m - -191\/36. Which is greater: g or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2108*c + 2093. Is o(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.2. Suppose 5*q - 4 = 6. Suppose 2*o + q = o. What is the nearest to 0 in j, -1\/2, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 e when three letters picked without replacement from {l: 2, h: 11, m: 1, c: 1, g: 1, e: 2}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 426959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 31836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1036 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - (19 + (9 - 13)) - -3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 15*o**2 - 12*o - 28.\nAnswer: -(o - 14)*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a hour in seconds?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3051265*n*q*r - 36*n*r + 381*n - 59*q*r - 6*r + 9 wrt q.\nAnswer: -3051265*n*r - 59*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 162 = -44*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -16038 < -16035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1466?\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chhhbbhbhhhchhcc. What is prob of picking 2 c?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5450, -2329, -10084, -17803, -25474, -33085?\n\"Answer: 2*j**3 - 7793*j + 13241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -705 (base 9) to base 11.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.47*0.5.\nAnswer: 1.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q. Let i(n) = 6*n**2. Suppose v - 3*c + 4 = -4, c - 8 = 3*v. Let t(d) = 2*d**2. Let f(g) = v*i(g) + 7*t(g). Calculate f(u(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4 = -19. Let h = 87 - 84. Let l(j) = -r*j - 1 + h + j**2 - 2. What is l(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -825434 at most -825434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -31 in descending order.\nAnswer: 5, 0, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -545542 (base 8) to base 4\nAnswer: -230231202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 6*m**2 + 6*m - 1. Suppose -12 = 3*p + 3. Let i be r(p). Is -5 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5\/13)\/(a*a\/(((a\/(a*a*a**(7\/3))*a)\/a)\/a*a)*a*a*a) assuming a is positive.\nAnswer: a**(-340\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258013\/160515 + 8\/(-5).\nAnswer: 1\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 - 3)\/255*6. Which is the closest to 0.1? (a) g (b) 11 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -101504 and 0.224.\nAnswer: -101503.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -1\/3*y**3 + 0 + y**2 + 5*y + 1\/10*y**5 - 1\/6*y**4. Factor d(f).\nAnswer: 2*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40583*z - 15308 = 40411*z for z.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 2154\nAnswer: 1\/1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 3691 = 173 + 2120. What is the lowest common multiple of 72 and t?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 1. Let z be l(1). Let w(v) = -3*v**2 + 2*v + 30. Is 10 a factor of w(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 52 = 3*b. Let l be b\/(-3) + (-1)\/3. Find the second derivative of -l*o + 5*o**2 + 5*o - o**2 + 3*o wrt o.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-5)*(-75)\/(-6). Let c be (-160)\/(-50) + (-2)\/d. Let k(h) = -h**2 + 2*h - 1. Let n be k(c). Let o(q) = q + 1. Determine o(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 47*j + 32*j - j as k*j + g and give k.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -162518 at most -162407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**3\/6 - 4*o. Let v(u) = -8*u - 1. Give -6*l(h) - v(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 - 2*i - 10. Let x = 74 + -39. Let m = x - 30. List the prime factors of r(m).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 5)*(21955*y - 221*y**2 - 21955*y).\nAnswer: 663*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d = 4*i - 11, -i = -d - 5. Calculate the least common multiple of i and 6*(-66)\/(-54)*3\/2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 4*v + 3 - 6*v)*(38 + 29 + 41) to l + c*v and give c.\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4)\/3 + (-54)\/12. Let j = 138047189\/429 + -321789. Let h = -2\/143 - j. Which is the nearest to h? (a) 5 (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-576)\/32)\/18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.810335 hours to milliseconds.\nAnswer: 17317206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 460410?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -501 and -899?\nAnswer: 450399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 504*m - 510*m. Find the common denominator of 3\/20 and m\/(-24)*(2256\/15)\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68.79 - -2.71. Let i = -71 + g. What is the nearest to 1 in 0.7, i, -1\/3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8058*a**2 + 30311*a + 50. Let k(s) = 2686*s**2 - 10106*s - 15. Let v(z) = -10*k(z) - 3*m(z). What is the second derivative of v(i) wrt i?\nAnswer: -5372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence noxx when four letters picked without replacement from {x: 5, n: 1, o: 6, r: 5}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1461982, -2923965, -4385948, -5847931, -7309914, -8771897?\n\"Answer: -1461983*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -23. Let j be u + ((-6)\/(-3) - 1). Sort -4, -20, j.\nAnswer: -20, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*i = -986890 - 1687120, 2*u = i + 1069595. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -76*p + 829. Give z(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -13. Let m(j) = -8*j - 4. What is the units digit of m(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - a - 10 = 5*y, -2*a = -y + 9. Let k = 3 + y. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.35 - -177719443.\nAnswer: 177719442.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -ad3ee?\nAnswer: -ad3e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -2*i**2 - 1\/30*i**5 + 0*i + 0*i**4 + 0*i**3 - 1\/60*i**6 + 0. Find the third derivative of o(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93 - 39. Suppose z + l = 4*z. Let u = -21 + 39. Calculate the greatest common factor of u and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 615805, 1232539, 1849273, 2466007, 3082741, 3699475?\nAnswer: 4316209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4089 = -5*f + 8*f. Suppose 0 = 11*x + 274 - f. Suppose h - x = 26. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 286 + -258. Suppose 0 = 7*a - 0 - g. Solve a*l = 19 - 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4374936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 + 51. Suppose -63 = -d*i + 432. Calculate the least common multiple of 14 and (i\/(-20) - -3)\/(6\/(-16)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o - 10*o + 23*o)*(0 + 1 + 1)*(-3 + 3 - 9).\nAnswer: -126*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**2 + 5*w + 3. Let r(g) = 9*g**2 + 11*g + 6. Let d(q) = 2*r(q) - 5*z(q). Let t be d(-2). Let c = -3 - t. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 461 or -2?\nAnswer: 461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156002 and 70910?\nAnswer: 780010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -95682*y**2 + y + 1664788 wrt y?\nAnswer: -191364*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - 16*a - 15. Let u be b(9). Put 1775, u, -2 in descending order.\nAnswer: 1775, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(1*(-1)\/48). Suppose 0 = -5*t - 178 + z. Let f = t - -38. What is the remainder when 34 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-18) - 48\/(-27). Suppose -s = -2*i - 8, -z*i - 3 = -2*s + 5. Let c = 8 + i. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 686831200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3303864085?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 23.\nAnswer: 1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + -24. Let h be (0 + d\/15)*10. Let l = -14 - h. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2237 (b) -4\/5 (c) 474 (d) 3\/4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 488*q - 1432*q - 25*q**3 + 0*q**3 + 472*q + 473*q.\nAnswer: -25*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (17 - 7) - (-2 - 17)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29755\/16 + -1861. What is the common denominator of 37\/44 and d?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 550.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 12*x + 2. Suppose 14*g = 9*g. Let s be z(g). Suppose l = 0, -5*l = -t - 4*l. Which is smaller: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2070*c + 128342. Determine u(62).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 - 6*q + 40\/7.\nAnswer: 2*(q - 20)*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 - 6*j - 1. Let s = -2 + 3. Let b(q) = 39*q**2 - q - 85*q**2 + 47*q**2 + 2*q. Determine s*g(o) + 6*b(o).\nAnswer: 4*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/346 - 685\/2422. Let i = 4 + 4. Let y = i - 8.1. What is the closest to y in z, 1\/4, 2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4303 is divided by 295?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 9*x - 2. Let k(m) = -5*m + 1. Let l(a) = 11*k(a) + 6*w(a). Suppose 3*i + 3*j - 12 = 0, -5*i + j - 4 = -i. Suppose 5*o - 18 - 2 = i. Give l(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 13*s**6\/60 + 7*s**5\/12 + 33*s**2. Find the third derivative of c(z) wrt z.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w = -4*d - 0*d - 122, -3*w + 127*d + 5 = 126*d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(4\/5))\/(d**(-4\/9)\/d)*d**(-2\/3)\/(d**(-4)\/d) assuming d is positive.\nAnswer: d**(314\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - z - 3*z)*(5*z + 0*z + z) as x + y*z + a*z**2 and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6*(3\/(-15))\/(22\/165)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 1734?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -36. Find the first derivative of x*h**4 - 47*h**2 + 88*h - 88*h + 2 - 5 wrt h.\nAnswer: 8*h**3 - 94*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -94521.93427 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a - 74*a - 10*l + 15 = -28*a - 20*a, -l = -a - 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 153*h**3 - 7343*h**2 - 47*h - 57. Calculate d(48).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29172913439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 631, 593, -121, -1517, -3601?\n\"Answer: -c**3 - 332*c**2 + 965*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**2\/9 - 10558*k\/9 - 27867841\/9 = 0.\nAnswer: -5279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 9*l = 71*l + 3430, 7*v + v + 3*l + 161 = 7*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**2 - 36*o - 80 = 0.\nAnswer: -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*w**3 + 134*w**3 - 86*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**2 - 4*q**2 + 0*q**2)*(-1 + 3*q + 1) - 2*q**3 - 36*q**3 + 20*q**3 to n*q**2 + s*q + b*q**3 + m and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6220 is divided by 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 5:48 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 27*m**2 - 26*m - 8. Let y be f(-26). Suppose 5*k + 2*g + g + 152 = 0, -2*g + 20 = -k. Let z be (-4)\/8 + k\/y. Solve -2*r = z*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 391 and 2032?\nAnswer: 794512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 11*k**2 + 10*k + 1. Let o = -18 + 8. Let i be q(o). Let g be 3 - (4 - (i + 0)). Put 2, 3\/5, g in increasing order.\nAnswer: g, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -1.58, 111, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1430416?\nAnswer: 3\/1430416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + -3 + sqrt(847)*1 + -2.\nAnswer: 3 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-6)*5)\/(1089\/3630*(-20)\/(-6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, w: 1, c: 2, e: 2, a: 4}. What is prob of picking 3 a and 1 c?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18 - 1 - (0 + 1). Calculate the common denominator of ((-6)\/14)\/((-6)\/g) and (-4 - 20)*2\/15.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 1839.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25396, 101543, 228448, 406105, 634508, 913651, 1243528, 1624133?\nAnswer: 2055460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, and 1 j when three letters picked without replacement from {l: 1, e: 2, w: 1, m: 1, j: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(56\/4))\/(-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 6 - 8*o**3 - 3*o + 7*o**3 - 1 as t*o**2 + j*o + i + g*o**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 43, 164, 409, 820, 1439, 2308?\nAnswer: 3469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-402*w + 197*w + 4 + 170*w)*(w - w - 4*w**2).\nAnswer: 140*w**3 - 16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 668.2987 milliseconds to microseconds.\nAnswer: 668298.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-5)*(-17150)\/3087.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**2 + 3*j - 2. Let d(r) = 2*r - 6. Let t be d(7). Suppose 0 = 3*m - 4 - t. Let h(f) = 6*f**2 + 4*f - 2. What is m*k(q) - 3*h(q)?\nAnswer: 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 105*g**4\/4 + 2*g**3\/3 + g**2 - 5865*g + 4497. Differentiate i(x) wrt x.\nAnswer: 315*x**2 + 4*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2328383212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 + (-10 - ((-6 - 16) + 14) - 17) + 14?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, g: 2}. What is prob of picking 2 g and 1 s?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 - 7*z**2 - 9*z - 5. Let k be 16\/12 - (-25)\/15. Let d(c) = -217*c**3 - k*c - 2 + 216*c**3 - c - 3*c**2. Calculate 5*d(f) - 2*r(f).\nAnswer: -f**3 - f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3149 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 + 1. Let t = -29.3 + u. Let y = 27 + t. Which is the nearest to 2? (a) 0.4 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15718.33 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1158945690 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*m = -33*m + 578 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29836968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let k = -9 - -16. Suppose 0 = 2*y + k - 9. Is d greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -220, -327, -432, -535?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 406, 757, 1108, 1459, 1810, 2161?\nAnswer: 2512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*p + 4 = 35*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 118. Let j = m + -14. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -171. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-15)*10*1. Let k = 7 + j. List the prime factors of (k - -2)*15 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5\/69906, 14 in decreasing order.\nAnswer: 14, 0.2, -5\/69906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/55 and -71\/980.\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 z, and 2 o when four letters picked without replacement from {t: 5, o: 2, z: 7, w: 4}.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*u + 25 = 0, 4*a - 8*u = -3*u - 25. Is a less than or equal to -9\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -200 (b) 2\/3 (c) -2\/7 (d) -1\/3 (e) -2\/3 (f) -153\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4*h**2 - 5)*(-57 - 108 + 110)*(5*h**3 + 0*h**3 - 2*h**3).\nAnswer: 660*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283 + (-407)\/111 + (-2)\/(-3) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 - (-128)\/(-24) - (-74)\/6. Let c(o) = -o**2 + 13*o - 11. Give c(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -9. Let f be ((0 - -3)\/60)\/((-1)\/4). Sort f, -7, v in descending order.\nAnswer: f, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35493 by 2.\nAnswer: -35493\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + -47. Suppose -k*m - n + 27 = -107, 80 = 2*m - 4*n. What is the remainder when m is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -29. Find the third derivative of 9*b**2 - 2*b**i - 6*b**4 + 19*b**4 wrt b.\nAnswer: 264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 u when four letters picked without replacement from {u: 3, o: 7}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/10 of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -46, -123, -228, -361, -522?\n\"Answer: -14*w**2 - 35*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 4. Let z = w - -3. Suppose -z = -2*o + 5. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(2\/13)*l)\/l)**(3\/5))**(4\/19)\/(l**(-2\/37)\/(l\/((l\/l**(-13))\/l)))**(-1) assuming l is positive.\nAnswer: l**(110506\/9139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saf when three letters picked without replacement from tnatttfstnftf.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 536 and 7918998.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*-68*68\/12138.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 2 = c. Let v(r) = -r**3 - 3*r**2 + 6*r - 4. Let w = 7 - -2. Calculate the remainder when v(c) is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 17*h**3 - 36 - 6*h**3 + 12*h**3 - 6 + 5*h**3.\nAnswer: 28*h**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 134580474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391600513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/5? (a) 2 (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/825306 and 69\/4?\nAnswer: 1650612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -380433954 bigger than -380433955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7698.43 grams to nanograms.\nAnswer: 7698430000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -18, 6 in descending order.\nAnswer: 6, 5, 3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.75 - 0.25. Let t = l - -3.11. Let y = 0.29 + t. Which is the biggest value? (a) y (b) 0.03 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14567 + 713?\nAnswer: -13754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - -35. What is the remainder when 15 is divided by (-3)\/(-7) + 318\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9911705 millennia to months.\nAnswer: 11894.046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23\/3 - -22\/3. What is the smallest value in y, -3\/8, 1, 3\/2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*t + 30519 - 32829 = 0 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 660110 (base 8) to base 4.\nAnswer: 312001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*k - 164*k - k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18685 and 4662.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/801 and -19 - 0 - 240654\/(-12996)?\nAnswer: 30438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpf when three letters picked without replacement from nzfpxzxanxxzznnzn.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 4:55 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, x: 4, k: 1, f: 1}. What is prob of sequence xx?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 93 = 85. Let m = 19 - 16. Suppose -2*q + 3*s = -7, -q + 2 = 2*q + 4*s. Solve -m*v - q = -f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*l + 55, -p - 10 = 5*l + 20. Solve 4*r + 21 = -p*f + 14, -2*f = 2*r + 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 308086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.4 - -159511422.\nAnswer: 159511438.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 761 a factor of 1635389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/4)\/(1\/(-2)). Suppose 5*u = 53 - 13. Suppose 24 = -0*s - u*s. Put t, s, 2 in ascending order.\nAnswer: s, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**21*h)\/h*(h\/((h\/h**(-15))\/h*h))\/h assuming h is positive.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16190 divided by -1814?\nAnswer: 8095\/907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*u - 2. Suppose u*i + 14 = 3*i. Let x = i + -3. Solve -4*q - 24 = 3*b, q - x - 2 = 4*b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b. Let z(x) = -x**3 + 6. Let n be z(b). Let d be n*1*1\/2. Solve 5*h + l = 13, 0 = d*h + 5*l - 0 + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3203 (b) -1\/41 (c) -5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5 + 42*q**4 - 171*q + 334*q - 184*q - 7*q**3 wrt q?\nAnswer: 504*q**2 - 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0380498999 to three dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 + 16*v - 9. Let l be m(-6). Find the second derivative of 76*t - 262*t**3 - 270*t**3 + 872*t**l - 247*t**3 wrt t.\nAnswer: 558*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.169 and -381.\nAnswer: -3112.389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 i when three letters picked without replacement from {t: 6, h: 5, i: 2, o: 5, f: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29747 = -117*d + 314*d. Put 5, 2, d, 4, -1 in ascending order.\nAnswer: d, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88616, 88618, 88622, 88628?\nAnswer: 88636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -4, 303, -1346 in ascending order.\nAnswer: -1346, -4, 2, 5, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f - 2*w + 8, 4*f - 5*w + 17 = 0. Suppose 2*h - 830 = -2*l, -f*h = -3*l - 0*h + 1230. Let z = l + -65. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03598*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 539380738 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t - 31*t**3 + 22*t - 3 + 7*t + 11*t.\nAnswer: -31*t**3 + 50*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 293989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20561 = -33*d + 2836. Let o = d - 687. Let l(i) = 2*i**2 - 2*i - 2. Calculate the least common multiple of o and l(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -23, 1, -4 in descending order.\nAnswer: 4, 1, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaekeakafafkeaeeaea. Give prob of picking 2 k.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 30) + -2 + 0 + 1 - (1113 - 1115)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42556, 42376, 42196, 42016?\nAnswer: 41836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.4 - -3.4. Let h be 3\/(-8) - 2364\/96. Which is the smallest value? (a) h (b) -2\/3 (c) -0.3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 2\/269.\nAnswer: -5, 2\/269, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -66288.2 and 167.7?\nAnswer: 66455.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, j: 1}. Give prob of sequence oooj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - (2 + -8) - -131 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i + 13*i - 224 = -29*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.07 + 9.1. Let v = r + -0.03. Let p = v - 1. What is the third biggest value in 1, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -1 - -1) + 1 + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*i + 1225 = -43*i. Solve 0 = i*a + 3*r - 8, 14*r = -3*a + 17*r - 24 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 3*r + 2. Let u be f(-4). Solve 4*p = 3*g - 13, 0 = -p + u*p - g + 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 420 + -3782\/9. Which is the closest to 0? (a) 1\/3 (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 8:40 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from {t: 1, p: 1, j: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 7*i**2 + i - 5. Let q(j) = j**3 + 12*j**2 + 9*j - 15. Let y be q(-11). Let a be x(y). Solve 0 = 2*k + 4*p + 14, k + 3*k - a*p - 2 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -13*g**2 + 25*g - 5. Let w(l) = 6*l**2 - 12*l + 3. Let m(f) = -3*k(f) - 7*w(f). Factor m(t).\nAnswer: -3*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2739, -10786, -24141, -42804, -66775, -96054?\nAnswer: -130641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 0*c - 3*c)*(1 + 7 + 0 + (0 - 3 + 2)*(2 - 3 + 0)) + 2 + c - 2 + (-2*c + 1 - 1)*(2 + 2 - 5).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*t - 4*t - 20, -38 = -5*p - 2*t. Suppose -2*l + 13 = f, -3*l = p*f - 5*f - 19. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - s + x = 8*s - 122, -2*x - 61 = -51 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x + 1. Let s be h(-5). Let a = -5 - s. Let j = 25 + a. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24 + 4*z**2 + 12*z - 6*z - 7*z + 4*z**2 with respect to z.\nAnswer: 16*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n - 506920 + 506920.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-20))\/(2\/(-2))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 18 = -5*d. Let c(l) = l**2 - 6*l + 2. Let w be c(d). Suppose -w*j + 8 = -16. What is the smallest common multiple of j and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 13*k**2 + 5. Let s be r(-13). Which is the closest to 2? (a) s (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*r + 1\/6*r**4 + 0*r**2 - 5\/3*r**3 = 0. What is r?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpghphtptptptp. What is prob of sequence pg?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4650.18 litres?\nAnswer: 4650180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13634 is divided by 3375?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(99) + -5*(sqrt(99) - (sqrt(99) + sqrt(99)*4 + sqrt(99) - sqrt(99))))*-4)\/((sqrt(1089) - (-2*sqrt(1089)*3 + sqrt(1089) - sqrt(1089)))*6).\nAnswer: -10*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1838057.0601545 - 1837812.06. Let x = o + -245. What is x rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.54187, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -5, 0.76, -0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -225802397 at least as big as 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 16. Suppose -5*h - 114 + 134 = 0. What is the nearest to w in h, 0.1, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -425?\nAnswer: 2\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-806*o - 850*o - 1233*o - 518*o)*((-3*o + o + 3*o)*(5*o**2 + 0*o**2 - 4*o**2) + 41 - 11*o**3 - 41).\nAnswer: 34070*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 772 times -0.5\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1416576 divided by 16864?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 11*o**2 + 3*o. Let h be d(-1). Suppose -6*q + 2*q + 4*g = -h, -g = 5*q - 28. Is 10\/(-4)*(-422)\/q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 110?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -10*i**3\/3 + i + 7. Calculate j(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 1:31 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 860*t**2 - 80256*t - 2703168.\nAnswer: -2*(t - 228)**2*(t + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(255)*-5)\/sqrt(5))\/(sqrt(192)*-1).\nAnswer: 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (453 - 453 - 182*z)*(8 - 38 + 2*z - 7).\nAnswer: -364*z**2 + 6734*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(68) - 2*sqrt(68)*-4)\/(sqrt(4) + sqrt(196) + (sqrt(196) - (-2*sqrt(196) - sqrt(196))) + sqrt(196)).\nAnswer: 45*sqrt(17)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/7 - 6*n\/7 - 80\/7 = 0. What is n?\nAnswer: -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36178?\nAnswer: 2, 18089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 2*s + 3*s)*(-s**3 + s**2 - s**2) + (0*s**3 + s**3 + 0*s**3)*(2962*s - 303*s - 14*s) as b*s**4 + g + r*s + f*s**2 + o*s**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/2)\/3 - 2)*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -595, -1386, -2493, -3916, -5655?\nAnswer: -7710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112 + 70. Calculate the highest common factor of i and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11430282?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**3 + 100*z**2 - 81170*z + 349. Calculate v(-182).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**4\/12 + y**3 + 9*y**2\/2 - 2*y. Let m be t(-7). What is the units digit of m\/(-10)*(-10)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 28 = g - 4*n, n = -3*g + 15. Suppose -4*f - 1 = -l, -f - 1 = -g*l + 18. Let r be (0 + 0 + f)*-1. Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**2*s**2 + 8408171*c**2 + 4497944*c*s**2 - 3*c*s - 3*s**2 wrt s?\nAnswer: -6*c**2 + 8995888*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2489, -2487, -2485, -2483, -2481, -2479?\nAnswer: -2477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 7) to base 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-81)\/6*(-16)\/3. Suppose 5*q = 8*q - u. Suppose -20*v + 2*x + 184 = -16*v, 0 = -v + x + 47. Calculate the remainder when v is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-333*u + 757*u - 346*u)*(u - u**2 - u + (0*u - 4*u + 2*u)*(-u + 2*u - 3*u) + 0*u + 0*u + 2*u**2) - 2*u**3 + 2*u**3 + 5*u**3.\nAnswer: 395*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9 + 660\/72 - (-1259)\/6. Does 4 divide ((-237)\/(-5))\/(21\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.868098 weeks to nanoseconds.\nAnswer: 5363425670400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7812 and 15.\nAnswer: 39060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2676, 4952, 7256, 9594, 11972, 14396, 16872, 19406?\nAnswer: 22004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 219 by 2048.\nAnswer: 219\/2048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) + ((-3)\/(-2))\/3. Is h at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1977398 and 34787.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 753\/174193?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19\/5? (a) -1 (b) -1546 (c) 7 (d) 11 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1820 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s. Let c be (s - -7)*1 + -4. Solve -c*x + 0*b = -b + 6, -b - 18 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 - -0.7. Let w = -6431 + 6422. What is the third biggest value in w, 1, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 875160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/10 and -49\/1264500.\nAnswer: 1264500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 15*p + 133. Let w be a(-9). Let z(n) = -n**3 - 4*n**2 + n. Calculate z(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggtokdak. What is prob of sequence tkdg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 608 and 304.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 7. Let q = -0.148 + 0.048. What is the third smallest value in 1\/5, q, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -55203, -110406, -165609, -220812?\n\"Answer: -55203*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 + (-10202)\/(-171) - (-4)\/(-18). Let t = f - 151\/3. Factor 0 + 2\/19*h**5 + 0*h**4 + t*h + 0*h**2 - 4\/19*h**3.\nAnswer: 2*h*(h - 1)**2*(h + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 2*l**2 - 7*l - 8. Determine a(-6).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 30984*z - 2 + 2 + 3 + 3.\nAnswer: 30984*z + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146323 = -5*x - 4*s, -16*x - s = -11*x - 146332. What are the prime factors of x?\nAnswer: 7, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 8137186.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u - 1. Let v be k(2). Let w(h) = 20*h - 142. Let q be w(8). Solve 4*t - v*i - q = 0, -t + 2 = 2*t + 2*i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from zqrtnjtj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - u + 7 = 0, 5 = 5*u - 10. Let p be 57\/(w\/(-4)*-3). Calculate the remainder when (-1)\/(-3) + p\/3 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -4. Let f = q - 0. Calculate the smallest common multiple of 16 and (2\/1)\/(f\/6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j - 12. Let v(k) = 11*k + 38. Calculate -7*h(w) - 2*v(w).\nAnswer: 6*w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 129*m - 59*m - 56*m + 19 + 4*m**2 - 5*m**2. Suppose -v = -4*d + 60, -5*d - v - 4 = -79. Calculate the remainder when c(d) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 320539, 641057, 961591, 1282141?\n\"Answer: 8*i**2 + 320494*i + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40024 - 1?\nAnswer: -40025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3007710.\nAnswer: 2, 3, 5, 23, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 6*j + 6. Let a be b(-5). Suppose -3*m - 434 = -50. Let d = m - -136. What is the greatest common factor of d and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 + 58*x + 80. Let d be f(-13). Put -4, d, -3, 459 in decreasing order.\nAnswer: 459, d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12602124*t**3 + 6038133*t**3 - 11937394*t**3.\nAnswer: -18501385*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8757.743 minutes?\nAnswer: 525464580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1100*q - 777. List the prime factors of o(8).\nAnswer: 71, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 240, 961, 2158, 3825, 5956, 8545?\nAnswer: 11586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 + 7*d + 7. Let j(v) = v**3 + 11*v**2 - v - 9. Let r be j(-11). Let c(q) = 0*q - r*q + 3*q - 3 - q**2 - 4*q. What is 10*c(l) + 4*w(l)?\nAnswer: -2*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7287185 + -3238810?\nAnswer: 4048375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1096 divide 8950590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2 = y + o, o + 828 = 831 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -17*g**3 + 4*g + 3. Let u be n(-1). Let r(o) = -o**2 + 16*o - 4. Let c be r(u). Suppose 0*a = -0*a - a. What is the smallest value in c, a, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -31\/30*c**6 - 5*c + 0*c**5 + 0*c**3 + 0 - 12*c**2 + 0*c**4. Differentiate m(o) with respect to o.\nAnswer: -124*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(-30 + 92 + 32)*(-25*b**5 - 326*b**2 + 326*b**2) - b**5 + 0*b**3 + 0*b**3.\nAnswer: -2351*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 73420, 146843, 220266, 293689, 367112?\n\"Answer: 73423*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/3 + 134*i**3\/3 - 1583*i**2 + 17420*i\/3 - 16900\/3 = 0. Calculate i.\nAnswer: 2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 9*w - 5. Is 3 a factor of v(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(2299)*1 + 5 + -1*sqrt(2299) + -4)*-2 + 0)**2 + -4 + 3.\nAnswer: -528*sqrt(19) + 331059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -940761, -5, -9 in decreasing order.\nAnswer: 1, -5, -9, -940761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1920821584, 1920821577, 1920821558, 1920821521, 1920821460?\n\"Answer: -g**3 + 1920821585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1555520\nAnswer: -1\/388880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*i**2 + 20*i**2 - 11*i**2 + 16*i**2.\nAnswer: 44*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.52619617 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 899.4618 litres?\nAnswer: 899461.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (4 - -243) + 5 + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*z - 560 = 0, -2*s = 2*s + z - 459. Let b = s - 111. What is the smallest common multiple of b and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 5*q - 1. Suppose -4*t = -t + 2*m - 6, 2*t - m = 11. Suppose 0 = -t*f - i + 19, 4*f + 3*i = i + 22. What are the prime factors of y(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6 = 4*u - 31, 4*u - 20 = 4*c. Suppose -17 = 5*v + h - 42, 2*h - 14 = -v. Solve v*r = -u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(216) + sqrt(216)*-3))\/((2*sqrt(1200))\/sqrt(4)).\nAnswer: -12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-18))\/((-14)\/(-21)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q = 12. What is the second smallest value in q, 0.9, 4?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80 + 85. Suppose 0 = -t*x, 3*i + 4*x - 41 - 1 = 0. Differentiate -w + 2*w - 27*w - 10 - i with respect to w.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -4*o + 14, 1 = -5*w + 6*o + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8594, 8613, 8644, 8693, 8766, 8869, 9008, 9189?\n\"Answer: h**3 + 12*h + 8581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20408822.\nAnswer: 2, 7, 349, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 36 + 54. Let c(s) = s**3 - 7*s**2 + 6*s + 3. Calculate the least common multiple of d and c(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1233023023 - 3?\nAnswer: 1233023020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 5*c + 21, 42 = o + 2*c + 48 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g - 101 + 27 - 12 as h + p*g and give h.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 3:00 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18567 * 5.\nAnswer: -0.92835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -13. What is the smallest value in 3, j, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, -80, -5 in increasing order.\nAnswer: -80, -5, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 7. Let s = -2 + j. Let l be (5\/30)\/(s\/6). Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, 38, 68, 22, -106, -322, -632?\nAnswer: -1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8799.5 rounded to the nearest 10?\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**13\/t*t**(-22)*(t*t\/((t**(2\/19)\/t)\/t))\/(t\/((t\/(t\/(t\/((t*t\/t**18)\/t))))\/t*t)) assuming t is positive.\nAnswer: t**(207\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*m = -20, 4*w = -5*m + 9 - 30. Let y(x) = -x**3 - 3*x**2 + 6*x + 1. What is y(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u + 21. Let f = 14 - 24. Let v be o(f). Calculate the remainder when ((-167)\/4)\/(v\/(-4)) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7908744 to the nearest integer?\nAnswer: 2812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -18768.\nAnswer: 93840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-4 - -2) - (0 + 2)) + -19?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvv when three letters picked without replacement from {v: 7, h: 1, x: 10, c: 1}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -346490.300001 - -346490. Let b = 20 - 20.3. Let l = b - i. Round l to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 divided by -17?\nAnswer: -79\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from xsonjnn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4\/7, -1, -5\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4 + 2*a**2 - 3 - 5*a**2. What is n(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((14\/(-10))\/7*(-20)\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1.1, -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:10 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmu when three letters picked without replacement from rronuoomon?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**14\/(x**(-2\/7)\/x))\/(x**(2\/17)*x**(1\/4)*x*x) assuming x is positive.\nAnswer: x**(6149\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, 559, 1422, 2955, 5368, 8871, 13674, 19987?\nAnswer: 28020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 149*n + 4. Let c be o(-8). Calculate the remainder when -2*(1 + 0)*c\/22 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 15 = 0, 2*x + 0*d = -d + 65600003. Suppose -q + x = q. What is q rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1\/9, -0.1, -20\/23?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 3:29 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 7, b: 2}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 36*w**2 - 61*w - 908. Let y be x(-35). Which is the closest to 1.59? (a) y (b) 23 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-19 + -3 - -6) + -3 + 37.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**2 - p**3 + 55*p - 3*p**3 - 59*p - p**4 - p**4 as d*p**3 + u*p + f + r*p**2 + m*p**4 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/713460 and 9\/140?\nAnswer: 4994220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8782 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**(-2\/9)))\/z**(2\/3)*((z\/(z*(z\/((z\/z**(3\/8))\/z))\/z))\/z)\/(z*z\/(z\/((z**(2\/7)*z)\/z))*z*z) assuming z is positive.\nAnswer: z**(-3077\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.209 - 0.009. Which is the nearest to -0.8? (a) s (b) -0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 7*g**3 + g**2 - g**2.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d0 (base 14) in base 9?\nAnswer: -1283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 21 - 43 = 0, 5*h - r = 9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-2 - 20\/(-8)). Let r = -1.8 - 0.2. What is the nearest to r in h, -1\/5, 2\/15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160844166, 160844167, 160844170, 160844175?\nAnswer: 160844182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25074333 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118045144 by -4.\nAnswer: 29511286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - -19. What is the remainder when f is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -10*y - 11. Determine c(-9).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (-2*1*sqrt(320) - sqrt(320)) + -5))**2.\nAnswer: 6144*sqrt(5) + 47104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -443037733?\nAnswer: 443037738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**2 + 1952*g + 31356. Calculate h(-16).\nAnswer: -1156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 4970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 10*z - 94. What is t(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -284. Suppose -h**2 + h**4 - 3*h**3 - 216*h + 3*h**2 + n*h = 0. What is h?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20.477 (b) 1\/94 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/80 and -61\/90?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304382.\nAnswer: 2, 13, 23, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 190.9900014913 + -190.99. Round p to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32203363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -12) + -17 + 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4\/7, 0.2, -4, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - f - 25 = 0. Suppose -3*u - 4*d - 4 = u, 9 = -f*u - d. Let t(x) = 3*x**2 + 2*x + 1. What are the prime factors of t(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797429401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -215 + 212.98. Let o = 0.02 + j. Let m = 3 + o. Which is the second biggest value? (a) m (b) -3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -116 (b) -5 (c) 5 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**2\/2 + 7*u + 9. Suppose 17 = 5*c - 8. List the prime factors of t(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from vvnv?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186824 and 3205532.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.15 or -8.1784589?\nAnswer: -8.1784589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 1\/6*h**3 - h + 0*h**2 - 1. Let s(a) be the first derivative of l(a). Let r(b) = -4*b**2. Give s(r(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((s + 4 - 4)*(2*s - 6*s + 3*s) + 117*s - 40*s**2 + 123*s**2 - 78*s**2)*(0 - 4 + 5)*(-4*s + 6*s - 4*s).\nAnswer: -8*s**3 - 234*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20098.841 - -20134. Let l = -0.159 + d. Let a(f) = -f + 6. Let h be a(5). Sort h, l, -2\/3, 1\/2.\nAnswer: -2\/3, 1\/2, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.53 - -3.4. Let n = -0.129989 - c. Round n to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 25*f = 2*i - 1146, 10*i = -f + 5626. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -18 + 19 - 12 - (1 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -597.443226 - -596.881. Let f = r + 0.561. What is f rounded to five dps?\nAnswer: -0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.17 - 0.17. Let a = g - 7. What is the nearest to -3 in a, -5\/2, 5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-3)\/(-6)*2\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyggrrqgrggmrggbgr. What is prob of picking 1 r and 1 y?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7913 + -7913. Solve j = k + 5*b + 4, k + 8 - 6 = -3*b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - m)*(-2 + 2 - m)*(0*m - 4*m - 4*m) - 349*m**2 + 349*m**2 - 44*m**3.\nAnswer: -52*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + 0.1. Let g = n + 0. Which is the nearest to 2\/5? (a) -1 (b) -0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + (1 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31421 (base 5) in base 6?\nAnswer: 13435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*y**3 + 4*y**2 - 46*y**3 + 1 + 19*y**3 + y + 7*y**3 + 12*y**3 to g*y**3 + q*y + r + l*y**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -819 + 1521. What is the highest common divisor of z and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 11\/330039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.91 + -0.09. Let i = -4015625.000072 + 4015638. Let u = i + t. What is u rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0669, 4, -20, -1\/5, 0.2 in increasing order.\nAnswer: -20, -1\/5, -0.0669, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -236 divided by -118?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.38, 6\/11, -2\/9, -0.5 in ascending order.\nAnswer: -6.38, -0.5, -2\/9, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/24 and -101\/300.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 7*s - 7. Let o be l(5). Let p(t) = 26*t**2 - 28*t**2 - 4 + 2*t + 2*t**3 + 0 - 3*t. What is the tens digit of p(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3)\/(w*w**(-4))*w**1*w**(-3\/2) assuming w is positive.\nAnswer: 1\/sqrt(w)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3238172\/15 or 215879?\nAnswer: 215879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(sqrt(6) + sqrt(54)\/sqrt(9)) - (sqrt(400)\/sqrt(648) + sqrt(50)))\/(-3*(sqrt(360) - (sqrt(360) - (-4*-2*sqrt(360) + sqrt(360))))).\nAnswer: 11*sqrt(5)\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mnmnmmmmmmnmmn?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12250, -12256, -12276, -12316, -12382, -12480, -12616?\n\"Answer: -u**3 - u**2 + 4*u - 12252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a milligram in micrograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + -74 + (-42 - -79)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1280*a**3*p**3 + 2*a**3*p + a**2*p**3 - 5*a*p**3 + 5*p**3 + 45790*p**2 wrt p?\nAnswer: 7680*a**3 + 6*a**2 - 30*a + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 797, 829, 873, 935, 1021?\n\"Answer: p**3 + 25*p + 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 12) to base 11\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-12)*-3 + -3. Suppose -w = v*w. Suppose c + 2*i - 12 = w, -c = -5*i + 2 + 14. Solve 8 = 3*o - c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 - -2 - (-197 + 194 + (-4 - -2 - 0))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*a = 87, 5*r + 148 = 10*r - 2*a. Let g(w) = -5*w**3 - 20*w**2 + 15*w. Let k(p) = p. Let b(h) = r*k(h) - g(h). Suppose b(f) = 0. Calculate f.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616686?\nAnswer: 2, 3, 7, 14683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((5 - -6) + -4)*2\/7. Solve 5*y + f*c - 5*c = -21, -2*y - 16 = -5*c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/45, 120, 2\/5, 433, -2?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/(-5))\/(18\/60). Solve z*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8*v**2 - 19*v - 61. Let k(q) = -q**3 - 13*q**2 - 11*q + 30. Let o be k(-12). Is n(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11819, -94516, -318971, -756062, -1476667, -2551664, -4051931, -6048346?\nAnswer: -8611787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1\/8, -8178?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + (-48)\/(-15))\/((-6)\/15). Let y be t\/1*(-6)\/(-36)*-130. Suppose 5*f - y = -0. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2851\/6 - 19945\/42. Let a = 32 + -45. What is the nearest to i in a, -2\/23, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p. Let u(c) be the third derivative of c**5\/15 + c**4\/24 + 5*c**2 - 27. Determine k(u(m)).\nAnswer: 24*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -35c0?\nAnswer: 35bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b + 9*b = 140 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y + 13*y = 5*f - 8, y = -4*f + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.022 - 515565.3.\nAnswer: -515565.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.5 - 9. Let x = 0.003 + -5.003. Which is the closest to -1\/3? (a) x (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 + 189. Suppose -d = -3*s - 80. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35348076 and 9396?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -244 - -246. Suppose -2 = 5*w - 6*w, -i - t*w = -6. Solve -i*v - 20 = -5*y + 3*v, -y - 2*v = 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6360, -25408, -57154, -101598, -158740, -228580, -311118?\n\"Answer: -6349*s**2 - s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -12*y + 2. Suppose 34*b + 20 = -3*v + 33*b, -5*v + 2*b = 37. Let c(i) = -23*i + 4. What is v*g(m) + 4*c(m)?\nAnswer: -8*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1745.16 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 25932982 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.5 + 15. What is the closest to 6 in l, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 14230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 42.46826 minutes?\nAnswer: 2548095.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 350, 319, 288?\n\"Answer: -31*x + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187 + 148 - 335 - 61*f**2.\nAnswer: -61*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3217897471 plus 12968?\nAnswer: 3217910439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 - 216 = 8*l. What is the second biggest value in l, 0.5, -1016, 1\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 30. Let o be 15\/(-5)*2\/m. Which is the biggest value? (a) -2 (b) o (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 0*3\/6. Let s be k - 2 - (68 - -5). Is 3\/12 - s\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7584017 millilitres?\nAnswer: 0.0007584017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967 equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5))**(-23)\/(x**2)**17)**(-21) assuming x is positive.\nAnswer: x**(4536\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 242425*i**2 - 175816*i?\nAnswer: 484850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lglllqqtlkklqzz. What is prob of sequence tzq?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -334, -718, -1256, -1948, -2794, -3794?\nAnswer: -4948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbgg when four letters picked without replacement from hghebeggrbrrggbh?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126.1 - -116. Let g = 29 - 25.1. Let k = g + n. What is k rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*-1*((6*sqrt(99)*1 - sqrt(99)) + sqrt(99) - sqrt(99) - sqrt(99)))\/(4*(sqrt(216)*4)\/sqrt(6)).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 428, 954, 1692, 2642?\nAnswer: 3804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 81 = -3*i. Is 3 + (-45516)\/i - (-2)\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -12. Let j = v - 4.2. Let p = -0.6 - 2.4. Which is the smallest value? (a) j (b) 2\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1302 + -1301.9. What is the closest to h in 1, -3\/4, 0.87?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19\/((34\/20 - 2)\/(-3)) is divided by 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/216 and -139\/108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170230676.\nAnswer: 2, 7, 11, 83, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10129 - 10754. Which is smaller: -624 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**6\/120 + p**4\/6 + p**3\/2 - p**2. Let u be 2*1 + -24 + 20. Is 3 a factor of i(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m**2 + 555 - 555 + 0*m**2. Let t(k) = k. Calculate t(a(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442a (base 12) to base 15.\nAnswer: -2367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45227497 greater than or equal to 45227496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 11*z + 6 = 0. What is the third biggest value in 0.1, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*b**3 - 10*b**2 + 1 - 49*b**3 + 35*b**3 - b + (-3 + 3 + 2)*(7*b - 59 + 59)*(8*b**2 - 4*b**2 + 6*b**2).\nAnswer: 139*b**3 - 10*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3) + (-454)\/(-6). Let v(t) be the first derivative of -u*t**2 - t - 2*t**4 + 77*t**2 + t - 5. What is the second derivative of v(d) wrt d?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 513366652*v**4 - 769747003.\nAnswer: 2053466608*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (5 + sqrt(304)*-1 - sqrt(304))).\nAnswer: -18 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 211 + -204. Let v(d) = 22*d - 160. Let y be v(z). Let j(c) = 2*c**2 + 11*c + 4 - 3*c - c**2. Calculate j(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c**2 - 3*c**2 + 2*c**2)*(-3*c - 2*c + 4*c) + 2*c - c + 0*c**3 + 2*c**3 + 6 to s + k*c + q*c**2 + a*c**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 12) in base 4?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96.19 - 0.19. Let k = j - 98. Let c(f) = 4*f + 22. Let m be c(-9). What is the second smallest value in 0.2, m, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, -0.68966, 4\/5 in decreasing order.\nAnswer: 4\/5, -2\/19, -0.68966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x = 3*g + 1085, -2*x + 4*g + 550 = 0. Let w = 414 - x. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 + 3. Suppose 9*h = 1 - 1. Let c be k(h). Suppose 0 = m - 2*m + c. Solve -2*w = -m*b + 7, -b + 4 = -5*b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 2 (b) 12 (c) 2\/143 (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11393640.\nAnswer: 2, 3, 5, 31649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hube when four letters picked without replacement from {e: 1, o: 5, u: 1, h: 4, b: 1}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -57736.812 rounded to the nearest 100?\nAnswer: -57700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*-2 + sqrt(187) + sqrt(187))*-2 - sqrt(187))\/((sqrt(132) - sqrt(132)*2)\/sqrt(12)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24158 - 169079\/7. Factor 18\/7*t + z + 3\/7*t**2.\nAnswer: 3*(t + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/21 - (-52)\/(-7). Sort 3, v, 4 in descending order.\nAnswer: 4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/((-51)\/((-3162)\/248)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 18*s + 77. What is q(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/36702 not equal to -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 24704943*-0.1\nAnswer: -2470494.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28965.69 centimeters in micrometers?\nAnswer: 289656900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 17*q**2 + 5 + 0 as a*q**2 + c + y*q and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -16. Suppose q*v - 1 = 3. Suppose 0 = -2*t + 3*t + 1, -5*p + v*t + 7 = 0. Let a(k) = -5*k**3 - k**2 + k - 1. Determine a(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4287.1 rounded to the nearest ten?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in hours?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.55 - 11.51. Sort 4, j, 1\/9, 0.06 in increasing order.\nAnswer: j, 0.06, 1\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4 = -n. Let r(k) = -k**2 - 7*k + 9. Let s be r(n). Suppose 2*m = 2*u - 4*u + 12, -s = 4*m - 5*u. Solve m + 1 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 8:18 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*k + 31*k + 46*k.\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1240 and 59210.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 61, 56, 51?\n\"Answer: -5*v + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + 3 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 168.53352 - 143.53. Let a = n + -25. What is a rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11791 is divided by 358?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 721 - 3280*g - 725 + 3281*g. Let q(r) = -4*r**2 - 2*r. What is h(q(x))?\nAnswer: -4*x**2 - 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4635 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + (-4 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(528))\/(sqrt(396)*6).\nAnswer: 2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17239 + 2778. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 w when four letters picked without replacement from {s: 3, w: 17}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*i**2 + 5*i - 5*i)*(14*i - 182 + 182) + (2*i**2 + i - i)*(3 - 3 - i) as y*i**2 + x*i + w + f*i**3 and give f.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 333 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t + 0 + 95\/24*t**4 + 17\/6*t**5 + 3\/8*t**6 + 13*t**2 - 5*t**3. Determine q so that b(q) = 0.\nAnswer: -3, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*o - 102432 = -103552 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzy when three letters picked without replacement from xzxxxxxyzxyx?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**3 + 10*d**2 - 8*d + 1. Let k be h(3). Calculate the common denominator of (k\/(-2))\/(60\/70) and -89\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -45*b + 3. What are the prime factors of v(-14)?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6288409 and -6?\nAnswer: -37730454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 7*p**2 - 152*p + 3012. Calculate v(17).\nAnswer: 3318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 4:15 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 349\/77 - 33\/7. Let d = 60 + -59.9. What is the closest to d in 3, j, -1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1001 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 13*y - 132. What is q(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/5 (b) -1 (c) -99\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 6*h - 3. Let i(q) = 2*q**2 - 5*q - 2. Let f(c) = 5*i(c) - 4*t(c). Let a(x) = x**2 - x + 1. Determine 4*a(w) - 3*f(w).\nAnswer: -2*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 26*s**2 - s + 30. Let l(z) = z**3 - 2*z**2 + 26. Let c be l(0). Let j be i(c). Solve -j = -5*w + 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 7*q**2 + q. Let k(l) = -4*l**3 + 41*l**2 + 437*l - 1. Calculate 6*c(u) + k(u).\nAnswer: 2*u**3 - u**2 + 443*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 6*h**2 - 11*h + 37. Let r be m(5). Suppose 6*n**3 + 2*n**3 - 41*n**2 + 111*n - 32*n + 6 - r*n**3 - 45 = 0. Calculate n.\nAnswer: 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2115, -2094, -2059, -2010, -1947?\nAnswer: -1870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 5*f. Let c be z(4). Let l(r) be the first derivative of r**2 - 5*r - 2. Let w be l(5). Sort 4, w, c in ascending order.\nAnswer: c, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 + 2*y + 2. Let j = -1 - 16. Let t(f) = -6*f**3 + 6*f + 6. Suppose -3*a + 54 = 6*a. What is a*t(i) + j*u(i)?\nAnswer: -2*i**3 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.2 take away 1.6?\nAnswer: -30.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*c**2 - 2*c + 5254 - 10553 - 3*c**3 + 5302 to h + j*c**3 + t*c**2 + x*c and give t.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-14) + (-20)\/35. Let r be (b\/2)\/(2\/12). What is the units digit of (530\/30)\/((-1)\/r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*(2 + sqrt(6050) + sqrt(450)\/(sqrt(9) + (sqrt(36)\/sqrt(4) - sqrt(9))) + (sqrt(500)\/(sqrt(10)*-5)*-3)**2).\nAnswer: 96 + 300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 23*f - 3 + 5 - 38*f. Let p(d) = -31*d + 5. Let q(o) = 92*o + 5699. Let l be q(-62). What is l*h(y) + 2*p(y)?\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/17 - 2*m**2\/17 + 4*m\/17.\nAnswer: -2*m*(m - 1)*(m + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1552*k - 52244 = 1346*k - 3604*k for k.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -18, -224, -2, -6, 1, -14 in ascending order.\nAnswer: -224, -18, -14, -6, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11221202110 (base 3) in base 7?\nAnswer: 554166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02278808605 to four decimal places.\nAnswer: -0.0228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -690928, -1381850, -2072768, -2763682, -3454592, -4145498?\nAnswer: -4836400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -432583 less than -432599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -145*x**2 + 9*x + 16. Let t be r(-4). Let y = t + 42107\/18. What is the common denominator of y and -89\/300?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 93352073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 58824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -17. Let h = 0 - -19. Suppose 7*q - d*j = 3*q + h, 0 = 5*q + 3*j - 33. Solve -q = w - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8\/11 + -43\/44. Let d = -414 + 419. What is the closest to -1 in -3, d, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a factor of 69513990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 565, 1128, 1691, 2254, 2817, 3380?\nAnswer: 3943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -703*d + 829*d - 71190 = 0. Calculate the highest common divisor of d and 7119.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3871 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-325)\/(-13)*348\/1740.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-30)\/4)*(-36 - (11742\/(-76) - -63)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 - 5*b**2 + 6*b + 1. Let v be r(-5). Let t be 15\/10*8\/(-3). Let c be t\/(-2) + 5 + 5. Calculate the greatest common divisor of v and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**4\/12 + 2*x**3\/3 - 3*x**2\/2 + 855*x. Determine y(6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1091327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 17140*u + 11 - 16.\nAnswer: -17140*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -8*c. Let y(a) be the third derivative of -a**5\/60 + a**3\/6 - 2*a**2. Let u(n) be the first derivative of y(n). Give u(r(z)).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 208.5 + -209. Let j = 7 + -7. Let v = j + -1. Which is the biggest value? (a) v (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 5*u = -16, -5*v - 6 + 23 = -u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 266215913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + r + 1. Let q(v) = 233*v**2 - 2*v - 1. What is q(x) + 5*t(x)?\nAnswer: 238*x**2 + 3*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -33*i - 32. Let r = 3 - 1. Let j(p) = 7 - 8 + r + p. Let t(h) = -6*j(h) - s(h). Find the first derivative of t(g) wrt g.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.7 - 3. Let x = 34 + -24. Let j be 10\/(-12)*4\/x. What is the third smallest value in b, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 255752.1 milliseconds?\nAnswer: 4.262535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -288460125 divided by 1005?\nAnswer: -287025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/(-18) + (-11)\/(-9) + -1. Let t(a) = -10 - 2*a**c + 10 - a**2. Let k(f) = -2 - 7*f + 2 + 5*f. What is k(t(m))?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/24)\/((-4)\/(-8))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 100 = 5*b, 3*u = -u. Suppose 0 = 3*p + 2*p - b. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 8 = -88. Let n be 301\/5 - (12\/l)\/3. Let o = n - 48. Solve -o = 3*d + d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 472661, 1890628, 4253905, 7562492, 11816389, 17015596, 23160113?\n\"Answer: 472655*w**2 + 2*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d + 10 = 0. Suppose d*c + 2*c = 70. Suppose 5*v + 2 = -3, -c = 3*q - 5*v. Let g(w) = -w**2 - 5*w + 5. Calculate g(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 77, 519393?\nAnswer: 519393","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + l + 2*l)*(-7*l**4 - l**4 + 5*l**4) + (13*l**3 - 2*l**4 - 13*l**3)*((-2 + 1 + 2)*(0*l + 5*l - 4*l) + 0*l + 2*l - 4*l).\nAnswer: 5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2*c, -22*w - 5*c = -17*w. Let m(l) be the second derivative of -4*l - 1\/3*l**4 - 2*l**2 + w + 4\/3*l**3. Factor m(g).\nAnswer: -4*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 29. Let o(f) = 10*f**3 + 3*f**2 - 4*f. Let r be o(p). Suppose -57 - 44 = -c + 2*z, 3*z = -r. What is the remainder when c is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 12:23 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - h + 13 = -3*g, -4*h = -4*g - 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -16747.0763 to the nearest 10.\nAnswer: -16750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2438 - 2426. Let s be 0 + 2 + (-8)\/(-2). What is the remainder when (-382)\/(-18) + s\/(-27) is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/11))**(-2\/7))**(8\/19) assuming o is positive.\nAnswer: o**(-32\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 22 = 2*j, 5*t + 55*j = 57*j + 5. Solve w - v = -2*w - 3, 3*w - 4*v = -t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 53.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 109095 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160.2123l to millilitres.\nAnswer: 160212.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28441\/3 + -9480. What is the smallest value in o, 3\/83, 1, 7?\nAnswer: 3\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-30)*-10*30. Which is smaller: -119 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.22 (b) -3 (c) 1\/4 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 746648521*l**2 - 11*l - 17885383.\nAnswer: 1493297042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -6. Suppose 0 = 51*n - 40*n - 44. Suppose a - n*z + 14 = -3, 0 = 4*a - q*z + 20. Which is greater: a or 2\/57?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112562, -450293, -1013198, -1801277, -2814530, -4052957, -5516558?\nAnswer: -7205333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5617 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1045943 or 0?\nAnswer: -1045943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighteen fifths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 211112220201 (base 3) to base 7\nAnswer: 3526111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6694 + 35709 + 4712 = -3141*c for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2534 and 2366?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**2 - 12. Let l(a) be the first derivative of -a**3\/6 - a + 1. Let v(o) be the first derivative of l(o). Give s(v(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -22846.9404 to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 5*q + 5. Let r(x) = 29*x**2 + 26*x**2 - 4 - 53*x**2 + 2*x. Let u be r(-4). Suppose h - 5*v = 5*h - 23, -v = 3*h - u. Determine w(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 3. Let r be w(-3). Let x be -3*r*5\/(-15). Suppose -5*o - x = -7*o. Solve 3*i = 5*i + 2*p - 20, o*p - 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.2571 (b) -2 (c) 1 (d) -1\/5 (e) 756\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 3*s**5\/10 + s**4\/2 + s**3\/3 + 11*s**2\/2 + 5*s. Let l be o(-5). Let u = -863 - l. Round u to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 3*g**2 + 5*g + 5. Let z be m(-2). Let o = 33 + z. Calculate the smallest common multiple of o and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**6*m**8*(m*m**(-10)*m*m)\/(m*((m*m**(-5))\/m)\/m) assuming m is positive.\nAnswer: m**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31616 + -31549. Solve 5*d = 5*v, 65*v - l*v = -d - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -78, -33, 14, 63, 114, 167?\n\"Answer: w**2 + 42*w - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*m = 11, -50*m + 55*m = -5*b + 15. Factor -3*u**5 + 0*u + 1\/3*u**2 + 0 - 7\/3*u**3 + 5*u**b.\nAnswer: -u**2*(u - 1)*(3*u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-12 - (22 - 33 - 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5)*a*a*a**(3\/8)*a*a*a**2\/a*a*a**(1\/12)*(a**(-2))**34*(a**(2\/7)*a)**46 assuming a is positive.\nAnswer: a**(-1243\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -h + 2, 4*h + 10*y - 64 = 8*y. Let x be ((-35)\/h)\/((-8)\/80). Calculate the highest common divisor of x and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19308714.\nAnswer: 2, 3, 3218119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v**2 + 10. Let z(l) = -13*l**2 - 21. Let x = 13785 + -13782. What is x*z(d) + 7*b(d)?\nAnswer: 3*d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -497476589.18 and -286?\nAnswer: 497476303.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -174\/109 (b) 0.3 (c) -2\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166 - -85. Which is smaller: -82 or u?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**2*j**3*n + 545886*a**2*j**3 - 47*a**2*j**2 + 11*a**2*n - 751*n wrt j?\nAnswer: -12*a**2*n + 3275316*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 + -16. Let p be (-96084)\/(-340) + 7\/1 - (-10)\/25. What is the greatest common factor of p and h?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 11, i: 3}. What is prob of sequence ik?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89 + 91. Solve -43 - 108 - 4*o**2 - 49 + 40*o + d*o**2 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 94804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c**3 + 10*c. Let o = 1533 + -1538. Let l(k) = 3*k**3 - 7*k. Calculate o*z(w) - 7*l(w).\nAnswer: 4*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -172950e?\nAnswer: 172950a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -11*o**2 - 6*o - 673. Let w(r) = 9*r**2 + 5*r + 667. Determine -5*p(v) - 6*w(v).\nAnswer: v**2 - 637","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 62, -6 in decreasing order.\nAnswer: 62, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 386130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 29 = -2*h + 3*h, 4*h - 91 = -3*f. Suppose -f = -5*s - 0*s. Let x be 1\/(-15) - (-2)\/s. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + n + 7. What are the prime factors of j(3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, z: 5}. Give prob of sequence ll.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*1\/20*20. What is the highest common divisor of 416 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/3)\/((-4)\/2358*-3). Suppose -p - 4*x + d = 0, 3*p - 7*x = -2*x + 752. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*f - 360058 + 1758308 = -4*f. Is f a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7179 + 7178.99971849. Round o to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 12:39 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 42 = 5*f. Find the third derivative of -15*z**3 - 8*z**2 + f*z**3 + 15*z**3 wrt z.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(29\/2))**(1\/4)*(g*g*g**(-16)\/g*g*g*g*g)\/g**(-15) assuming g is positive.\nAnswer: g**(61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 637 = -3*i - 2867. What is i rounded to the nearest 10?\nAnswer: -1170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + j + 1. Let y(v) = 23*v**2 + 4*v + 5. Let u(o) = -6*a(o) + y(o). What is the units digit of u(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**5\/20 + z**4\/12 + 7*z**2. What is the second derivative of c(b) wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -279100 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {r: 11, j: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2) - 1)*-4. Let g = 5 + -2. What is the third derivative of -g*o**3 + i*o**2 + 3*o**3 - 2*o**5 wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - w + 3. Let u be r(0). Suppose -5*j - 3 = -3*x, -4 = -u*j - 6*x + 2*x. Suppose -i = -j*i - 16. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 196249*y**3 + 124664630*y**2 + 19921972908*y + 39346857288 = 0.\nAnswer: -140262\/443, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-3 + 3 - -6*sqrt(13)*-4) + -4.\nAnswer: -27*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 2:09 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31425338 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 54 = 5*h, -4*c = 2*h - 0*h - 24. Calculate the remainder when 27 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3634 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g**4 - 30*g**3 + 421*g**2 - 422*g**2 - 4*g**3 in the form r*g**4 + n*g + b*g**3 + w + m*g**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 219114 and 527324.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 1:50 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 2*n - 4. Let v be f(3). What is the greatest common factor of 88 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12170*p = -12276*p - 1060 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 10386*h**2 - 2*h. Let n(z) = 2*z - 6. Calculate b(n(m)).\nAnswer: 41544*m**2 - 249268*m + 373908","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 4. Let s(p) = 0 + 4 - p + f. Let v(l) = l - 6. Let j be v(6). Determine s(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 6*f + 12, 425*t - 426*t = -9*f + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21151\/36396 - 11\/674. Calculate the common denominator of -71\/9 and b.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*a - 699*a + 417*a - 2409 = 0 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356342 is divided by 178153.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*h - 28 = 0, -6*b - 2*h = -2*b - 26. Let q = 93 + -92.8. What is the nearest to b in 0, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 0, -v = 3*c + c. Suppose -3*k + v*k = -60. Solve m = -3*m - k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85274416 to the power of 1\/3, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-2 + 3)**2.\nAnswer: -84*sqrt(5) + 989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*h = 68, 2*b = -3*b - 2*h + 149. What is the remainder when 114 is divided by b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.04, -4\/3, 2\/5, 2\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(((t**(-4\/7)\/t)\/t)\/t)*t)*t*t*t**(2\/13))\/((t**(-8)*t)\/t)**(-1\/37) assuming t is positive.\nAnswer: t**(-5501\/3367)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30519165 is divided by 50.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q + 26. Let z(u) = -u + 5. Let n(g) = 2*d(g) - 11*z(g). Let x(c) = -c + 4. Calculate -4*n(m) - 3*x(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5813.31 - -5813. Let u = -4071\/13 + 313. Which is the biggest value? (a) u (b) -1\/4 (c) -1\/5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v - 2*v - 7*v + 11*v - 8*v.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 158.752 - 158. Round i to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9275 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(8\/192*12)*1\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23382555*g**3 + 21923808*g**2 wrt g?\nAnswer: 140295330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 7 + 61. Let j = u - 0. Let i = 47 + j. Calculate the greatest common factor of 52 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/2)\/(3\/15). Suppose 38 = q*u + 3*i, -u + 8 = -4*i - 18. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 - 23*p + 27. Let c be g(6). Which is smaller: c or -182?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 474*g**2 + 2*g + 1. Is d(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570 is divided by 96?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pipipiii. What is prob of picking 3 p?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w - 24. Let f be l(0). Let t be 6\/(-8)*f\/(-27). Let x be (-3)\/(-6)*(-2)\/11. Which is the second smallest value? (a) -3\/4 (b) t (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2113493*n**5 - 2086*n + 49.\nAnswer: 42269860*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or 0.97?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 17 - 3. Suppose p*l - 13 = 7. Solve 0 = -3*f - l - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-24) + (-29)\/6. Let p = -3356\/3 - -1134. Let y = 15 - p. Which is the second smallest value? (a) -2\/15 (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*p - 27, -3*j + j + 14 = -2*p. What is the nearest to 0 in -2\/9, 2\/5, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, u: 5}. Give prob of picking 2 u and 2 f.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*k**3 + 159674890*k**2 - 127739888*k + 25547976 = 0. Calculate k.\nAnswer: 2\/5, 3193497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56\/57 + 11713\/11400. Find the common denominator of -36\/5 and v.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 9, -1, -17.\nAnswer: -17, -3, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -239 - c**4 + 236 + 3*c**2 - c**4 - 2*c + c**2 + c**3 + c**3 to the form y + t*c**4 + d*c**3 + b*c**2 + g*c and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 148822 = -39244. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 25 = -l. Let y be -2*(2\/l)\/2. Suppose -1 = -2*f + 1. What is the nearest to y in f, 3, -1\/21?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14430360 (base 7) to base 11.\nAnswer: -855407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2810 divided by 5\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -66 - 1 - 28\/7. Let s = z - -80. Suppose -49 = -s*b + 14. What is the greatest common factor of 14 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 d, and 2 b when four letters picked without replacement from {h: 1, s: 4, q: 9, d: 2, b: 4}?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -20. Suppose -2*a + 0*k - 3*k = -u, 0 = -3*a + 4*k - 6. Suppose 4*q - 36 = -h + a*h, 0 = q - 3*h + 2. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 192, 231, 2, -1 in descending order.\nAnswer: 231, 192, 2, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 73 + -8 + (-14 - -12 - -22)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27566477.\nAnswer: 4651, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 5442 and -0.126.\nAnswer: 5441.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6 - 11482*x - x**2 + 11476*x + 5. Let m be (9\/12)\/(2\/(-24)). Determine u(m).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1576 divided by -4.\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*w + 0 + 10*w + 1)*(0*w + w - 3*w).\nAnswer: 48*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - v**2 + 1. Let g(d) = -4*d**3 - 3*d**2 + 3. Suppose -7*k - 7 + 0 = 0. Suppose 3*t = 17 - 8. What is k*g(f) + t*i(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/2)\/(4\/(-8)). Suppose -2*l = 4*t - 74, t = -g*l + 13 + 8. Let y(r) = -t*r + r**2 - r + 4 + 10*r. What is y(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*9*4\/18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**2 - d**2 + 2*d**2 - 1 + 412*d + 396*d - 160*d**2 - 809*d + (-d**2 - 1 + 1)*(-1 - 4 + 4) - 4*d + 4*d - 2*d**2.\nAnswer: -156*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*h - 75*h = 5*o, h + 16 = 3*o. Let p(r) = -r**3 - 10*r**2 - 5. Determine p(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (170\/238)\/(4\/(-28)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c5c0 + 2?\nAnswer: -2c5be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 28*l**2 - 15*l - 402. Let z be o(29). Solve -r - 5*c = r - 18, -2*r = -2*c - z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 738.1 - 738.0999999993. What is r rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99 + 98.5. Which is the closest to j? (a) 4\/5 (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**4 + 1007463*x**3\/4 + 2140917*x**2\/2 - 2770567*x - 755610 = 0.\nAnswer: -6, -1\/4, 2, 251870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d228 - -2d4a?\nAnswer: -a3cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1115 = -f - 1116. Let p be -1*1\/6*2. Which is the closest to p? (a) f (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((167 + -174)*1\/((-10)\/(-8)))\/(1\/5).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 + 32*r - 7. Let c be k(-11). Suppose -4*a = a + a. Suppose -5*h + a*h = -4*h. Solve h = 4*p - c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-1\/7)*l*l*l)\/((l*l\/(l*l**(2\/3))*l)\/l))**(-2\/83)*(l**(3\/4)*l\/l**(1\/6))\/(l*l**8*l*l**(-5)) assuming l is positive.\nAnswer: l**(-24581\/6972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 408*z + 8*z**3 - 408*z - 4*z**3 + 9*z**3 + 1 + 1.\nAnswer: 13*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/(-50))\/((-9)\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 2*t + 18. Suppose 0 = -t*c + n + 1425, 3*c + 5*n - 1135 = 290. Suppose 0 = -23*o + 18*o + c. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, b: 3, v: 4}. What is prob of sequence bbkb?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3488 and 1090?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x - 40*x - u + 22 = 0, 5*x - u - 32 = 0. Solve 2*s + x*s = 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9807 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-2))\/(2\/12 + 0). Let m(t) = 6*t - 9 + s + 6. Let v(k) = 5*k**2. Determine m(v(o)).\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/((-9)\/(-3))*(-792)\/924.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3100 (base 4) to base 10\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(16*w**2 + 19*w**2 - 43*w**2) in the form b*w**2 + g + y*w and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3 - 17. Solve q - w = -5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 433*g + 116 + 198*g - 118 + 3*g - 5*g + 4*g + 5*g + 3*g - 6*g + (-3 + 1 + 1)*(0*g + 3*g - 4*g) + g + 4*g - 3*g.\nAnswer: 638*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6 = -x + 3, -2*t - 37 = 5*x. Let h be (-72)\/(-84) + (-1784994)\/x. What is h rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from attaat. What is prob of picking 1 a and 1 t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*q**3 - 348*q**2 - 1532*q + 1848.\nAnswer: 4*(q - 14)*(q - 1)*(8*q + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 23 = g + q, -5*g - 93 = -q. Let k = -8 - g. What is the remainder when 42 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 1\/30*x**4 + 0*x**2 - 4 - 2\/15*x**3 + 3*x. Let k(o) be the first derivative of b(o). Factor k(u).\nAnswer: 2*u*(u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3837 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/10 + 26\/5. Solve 0 = s*f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/61074 and 53\/255.\nAnswer: 5191290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffsffssfsfffsfffsef. What is prob of sequence sfs?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -38403 greater than or equal to 77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 848151, 1696295, 2544439, 3392583, 4240727, 5088871?\n\"Answer: 848144*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -608, -599, -584, -563, -536?\n\"Answer: 3*o**2 - 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13 + -11)*6\/(-196). Sort l, 0.4, 4.\nAnswer: l, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355619.2 millimeters to micrometers.\nAnswer: 355619200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16666*x**3 - 269227*x + 269227*x.\nAnswer: -16666*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -882*a + 288*a + 72224 = 590*a for a.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k + 10. Let t(m) = m + 1. Let i(f) = 5*t(f) - v(f). Let n(a) = -2*a - 3. What is 3*i(o) - 5*n(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -a4b03 (base 14) to base 4\nAnswer: -1200333233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137719124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**4\/96 + 3*v**3\/8 + 63*v**2\/16 - 2*v + 176. Factor p(x).\nAnswer: -(x - 21)*(x + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n + 73. Let q be t(-16). Suppose -289 = -4*g - q. What is the greatest common factor of g and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 489*z**2 + 737. Let m(u) = 2*u. Give m(o(n)).\nAnswer: 978*n**2 + 1474","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 1 + 27\/9. Solve -2*q = z*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48771330 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**5\/60 - k**4\/24 - k**3\/6 + 12*k**2. Let p be 0*(-2)\/4 - 2. Give v(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5887, -10451, -15043, -19669, -24335, -29047, -33811?\nAnswer: -38633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 7*a + 10. Let t be (2 - 1) + 2 + 1. Suppose -4*v = 3*j - 26, 2*v = t*j - 5*j + 14. Let k be q(v). Solve 2*p + k = -0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-20)*2 + (-2)\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 137*h + 28. Let z(v) = -138*v - 23. Give -3*w(a) - 4*z(a).\nAnswer: 141*a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 1:18 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-166)\/18 - -4 - (-6)\/27\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + y**2 - y + 1. Let u(c) be the second derivative of -c**5\/2 - c**4\/3 + 11*c**3\/6 - 11*c**2\/2 - 58*c. What is -22*j(q) - 2*u(q)?\nAnswer: -2*q**3 - 14*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-286)\/88)\/(52\/8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21170 + 13*u - 121*u + 21170.\nAnswer: -108*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -98 + 5 + 0 + 13 + 11.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36 + -2604925?\nAnswer: -260489a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a meter in micrometers?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 19803*t**2 - 9874*t**2 + 28*t - 9832*t**2 as o*t**2 + m + q*t and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*4\/6 - (-40 - -11). What is the highest common divisor of i and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 151*w**5\/10 - w**4\/3 - w**2 + 258*w. What is the third derivative of i(r) wrt r?\nAnswer: 1812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 590903371?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2 - 28927*x - 926688 = 0. Calculate x.\nAnswer: -32, 28959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3714.6 take away 492879?\nAnswer: -489164.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5 - 267*p**4 - 17577*p**3 - 33305*p**2 + 51150*p = 0. What is p?\nAnswer: -155, -110, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 234 - 455?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -1528, 3, 16 in descending order.\nAnswer: 16, 3, -46, -1528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 6. Let y be g(3). Suppose 0 = y*a - 226 + 19. Suppose h - 5*j + 11 = -10*j, -2*j = -3*h + 52. What is the remainder when a is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293425361 to the power of 1\/3, to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4846 - 4843. Which is greater: 33\/14 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -4\/619181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 66.39. Let o = 32.39 + q. Let p = 33.04 - o. Round p to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -5, -2 in increasing order.\nAnswer: -5, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.73673 times 655\nAnswer: 482.55815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cmcmcccccttc.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 323284 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/t**5*t)\/t*t)*t\/(t*(t\/t**(-2\/9)*t)\/t*t))**(34\/5)\/((t*(t**3\/t)\/t*(t**1\/t*t)\/t)\/(t**4\/(t**(-4\/3)*t))) assuming t is positive.\nAnswer: t**(649\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2963*x**2 - 14*x + 622. Let t(d) = 8896*d**2 - 43*d + 1869. Let s(v) = -19*q(v) + 6*t(v). Find the second derivative of s(l) wrt l.\nAnswer: -5842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -38. Let r(u) = 4*u**2 + 6*u + 2. Let k be r(-6). Calculate the common denominator of 74\/27 and -3 + k\/45*n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20811.73t to milligrams.\nAnswer: 20811730000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = -i + 3, 4*i = -2*d - 2. Let v be (-3 - -1)\/(-1) - 8. Let t be 62\/36 - v\/(-4). Which is the biggest value? (a) -7 (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84.1*-12\nAnswer: 1009.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 + 2 - 6*m**2 - 6*m**2 + 21*m**2 - 8*m**2 - 2*m**2 to v*m**3 + o*m**2 + x + q*m and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-4450))\/((-21)\/(-1869))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 21 = -5*g, -9*g + 12*g - n = -16. Sort 5, 30, g, 0 in decreasing order.\nAnswer: 30, 5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 24. Let r = -11 + h. Solve r*o + 10 = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*(5960\/5215)\/(12\/(-14)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 > 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g = 4*c + 4*g + 20, 4*c - g = -20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 2*k + k + 0*k. Let x(c) be the second derivative of -c**5\/24 - 2*c**3\/3 + 3*c. Let l(s) be the second derivative of x(s). Calculate l(z(r)).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 5*j + 20, j + 4 = -0*x + 5*x. Let q be (-8)\/5 + 14\/(-35). Put q, 5, x, -3 in descending order.\nAnswer: 5, x, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/449298 and 70\/3597.\nAnswer: 4942278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 5:41 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (147*q**4 - 123 + 123)*(44 - 29 - 32) as f + z*q**2 + r*q + g*q**4 + c*q**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1.2. Let m = -0.4 + 6.4. Let q = 3 - m. What is the closest to 0 in o, 2, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -128, 1\/52, -3, 2\/7, -0.4, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16400023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -82*b**2 - 409*b + 5. Let a be z(-5). Let h(k) = k + 2. Let t be h(-5). Let r = 4 + t. Which is greater: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -9, -20 in decreasing order.\nAnswer: -2, -4, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 483 - -11149. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -43 (b) 6 (c) 0.07 (d) -484\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 0.4, -0.2, -2\/9, -450.1, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1301 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8608812.\nAnswer: 2, 3, 151, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z + 3*z)*(-43939*z**2 - 721*z**3 + 43939*z**2 + 57*z).\nAnswer: -721*z**4 + 57*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -1200?\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 34*r**2 - 36*r + 11. Let c be j(-35). What is the greatest common divisor of 184 and c?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/5 + 72\/30. Let i(g) = -8*g**2 - 2*g. Let t(d) = 10*d**2 + 3*d. Let s(z) = y*i(z) + 2*t(z). Let n(m) = -21*m. What is s(n(l))?\nAnswer: -1764*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/m**5)*m*m**(1\/4)*((m\/(m\/m**8*m))\/m)\/m**(-4) assuming m is positive.\nAnswer: m**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0620351l to millilitres.\nAnswer: 62.0351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 4*k + 2. Let o be t(3). Let j(m) = m**2 - 6*m + 9. Let z be j(5). Suppose 3*x = 5*y - 16, -z - 2 = -2*x. Sort 0, o, y in descending order.\nAnswer: y, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -630 + 638. Suppose -5*p = -f*p + 15. Let q(n) = -n**3 + 5*n**2 - n + 5. Calculate q(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 20066.7?\nAnswer: 20070.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2046, 0.1, -7 in decreasing order.\nAnswer: 0.1, -7, -2046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17076048 and -1933.6815.\nAnswer: 17074114.3185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**6\/18 - 7*s**5\/15 + 13. Determine o so that n(o) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 180 + -272. Let i be (x\/(-12))\/((-3)\/(-171)). What is the tens digit of i\/3 - (-18)\/54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 16 = -2. Calculate the remainder when 55 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4))**(-2\/37)\/(k*k*k**(-3))**(-14\/5) assuming k is positive.\nAnswer: k**(-1031\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -42 (b) 2\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, t: 10, c: 4, b: 2, h: 1}. Give prob of picking 2 c and 1 t.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-6)\/(-9)*-2)\/(4462\/(-291)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -48\/11 (b) -0.5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 6 - 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 12*d - 6. Let u(f) = -f**2 - 10*f - 5. Let i(y) = -5*t(y) + 6*u(y). Let r(z) = -6*z**2 + 10*z. Determine i(r(l)).\nAnswer: -36*l**4 + 120*l**3 - 100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144 - 143.99718. What is r rounded to four decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4) + 63\/12. Let v be (-2*c)\/(-2) + -3. Suppose v*h + 3*k + 0*k = 3920015, 0 = -3*h + k + 5879995. What is h rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 66467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + -6 + 34 + (2 - -1) + -20?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 20 = -4*o - 7, t = -2*o - 11. Let q = 2 + o. Let i = q - -24. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 132?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1513 + -1772677.\nAnswer: -1772677.1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -15.8, -0.3, -1\/5, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.14, 2\/13, -0.4, 21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/32 and (-13716)\/(-3696) + 6*(-4)\/6.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -43. Let r be 4\/z*(1 - -8). Suppose -5*b + r*b - 11 = 0. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 53*x**3 - 5*x**2 + 12*x + 1. List the prime factors of u(2).\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 806*c**2 - 47532*c - 1303. What is f(59)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9160 - 3051 - 3062 + 4*n + 0*n - 3047.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + (-4 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jggqqucgccgugucg. Give prob of picking 1 u and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 44749 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 998.016 + -998. Let r = -0.0797 - v. Round r to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*z + 4 = -6, -2*s + 16 = 4*z. Put 12, 2, s, 5 in descending order.\nAnswer: 12, 5, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*x - 40, -5*c + 10 = -7*c. What is the second derivative of 2329 + x*o**3 - 2329 - 14*o + o**2 wrt o?\nAnswer: 60*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-73)\/(-1292) + (-2)\/(-8). Let z = -7\/17 + p. What is the nearest to 0.3 in -2, z, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 627, 1232, 1825, 2400, 2951, 3472?\nAnswer: 3957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.499055249 rounded to four decimal places?\nAnswer: 0.4991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(3) + (sqrt(3)*3 - sqrt(3))*6.\nAnswer: 3 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -317350 in 0.3, 2\/11, 0.4, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a. Let z(x) = -x - 2310737. Give z(n(t)).\nAnswer: 3*t - 2310737","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + 59. Let a be 0*3\/(-30)*-5. Suppose -2*b + v + 11 = a, -2*v - 2*v - 29 = -n*b. Solve 5*p = b*p + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4\/3 (b) 3\/5 (c) -2\/7 (d) 4 (e) -1\/2 (f) 170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12420560 to the power of 1\/2, to the nearest integer?\nAnswer: 3524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 3*v**2 + 5*v + 4. Let j be q(-4). Suppose -4*t + 12 = -j. What is the second derivative of 0*s**t - s - s + s**3 wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + y + 0*y)*(3*y - 3*y - 2*y**2).\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-201)\/6365 - 53616\/(-1140).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 - 3 = g. Let x(v) = -12*v - 127. Let j be x(-17). Suppose -3*w + 2*d + j = 0, 3*w + w + 5*d - g = 0. What is w rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/1 - (3\/(-30) - 974799\/210)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1. Let j(n) = 2*n**2 - 5*n - 4. Let w(z) = -j(z) - 4*o(z). Let r(m) = m**2 - 2*m. What is 9*r(g) + 4*w(g)?\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -11*q**3 - 2*q - 14. Let r(l) be the second derivative of 7*l**5\/20 + l**3\/6 + 9*l**2\/2 + 4*l. What is 5*d(f) + 8*r(f)?\nAnswer: f**3 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 5*a + 3. Let g be m(6). Is 6 a factor of g\/6*-17*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71390?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from ooddodoooodllooo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 10, 60, 162, 334, 594, 960, 1450?\nAnswer: 2082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + -2 + (-1*(sqrt(72) - ((sqrt(72)*2 - sqrt(72)) + sqrt(72))) - (sqrt(72) + 4 + -2*sqrt(72)))**2)*-4.\nAnswer: -1198 + 384*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - q**2 + q - 1. Let i be u(-2). Let w(r) = 0 - r - 3*r + i + 3*r. What is w(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c + 448 = 38*c. Let m be (76\/8 - 8)*c\/6. Solve -5*a = -4*j - 13, -2*j - 3*a + 7 = -m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 4*o = 9, 3*c + c - 4 = 4*o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39750 and 1271682?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5798*z - 92744. Calculate t(16).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + n + 2*n)*(-2 + 3 - 2) + (-7*n + 10*n + 7*n)*(0 - 1 - 1) in the form r + v*n and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -673*p + 80 = -657*p. Solve 0 = 3*t + 3*o, p*o + 11 = -4*t + 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.85275 + -0.14725. Let o = -3.2 - -3. Which is bigger: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.2 + 804049418697\nAnswer: 804049418693.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1114, -5, -7\/10, -9?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*t - 4*b, 0 = -2*t + 5*t + 2*b - 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 627\/(-21) + 1\/(-7). Let b = 84 - o. What is the highest common factor of 38 and b?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917740631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 826 = 2*j. Suppose 4*q = -4*s + 336, 3*q - q = 5*s - j. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q = -18*q - 18. Let l = -23 - -20. What is the tens digit of 19\/(-2)*(5 + l + q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 1 - 20*s - 22 + 21*s - 17 + 0*s.\nAnswer: s - 32","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 2*z + 16, 0*z = 5*m - 2*z - 18. Suppose -x + 7 = l, 3*x + 3*l - 25 = -2*x. Let h(c) = 11 - 11 - c**x - c**2. Give h(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 6:14 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 33. Suppose a = 4*j + 4, -8*u + 58 = -3*u + 2*j. Calculate the remainder when 22 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17536142 - 114?\nAnswer: -17536256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/5 - (3\/5)\/(39\/(-588939)).\nAnswer: 2, 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + 13. Let a = y - -50. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.2, 2\/3, 18680, -14 in ascending order.\nAnswer: -14, 0.2, 1\/2, 2\/3, 18680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2. Let v(m) = 55*m - 1 - 13*m - 18*m + 0. Give n(v(l)).\nAnswer: 1728*l**2 - 144*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**3\/n*n)**(20\/7))**(-29))**(-1\/11))**(-1\/20) assuming n is positive.\nAnswer: n**(-87\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415, 685, 811, 787, 607, 265, -245, -929?\nAnswer: -1793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(456)\/(sqrt(144)\/sqrt(12)))\/(sqrt(14)\/sqrt(7)*-1 - sqrt(2)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2. Let m(t) be the second derivative of t**3\/3 + 11*t. What is m(h(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7578)\/2105*((-20)\/3 - 0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.4? (a) -373 (b) 31 (c) -4 (d) 5 (e) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, o: 4}. Give prob of sequence zzoo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**2 + 3216*b - 861888 = 0.\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3561.\nAnswer: 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 145f4?\nAnswer: -145f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -14. Let i be (-141)\/(-12) - o\/(-4). What is the greatest common factor of i and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35504 and 8?\nAnswer: 35504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 8. List the prime factors of -1*1\/(l\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (119 - 0)*((-568)\/(-8946))\/(4\/18). Which is smaller: w or 650\/19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a meter in centimeters?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 + 21*x. Suppose -2*t + 68 = t - 4*g, 4*t - 86 = 3*g. What is the remainder when (-946)\/(-10) - (-8)\/t is divided by z(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 737.097kg?\nAnswer: 737097000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from okkkokkkokkookkokk.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10945 and 796.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1064*s**3 + 4 + 1435*s**3.\nAnswer: 2499*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**5 - 1880*n**4 - 168080*n**3 + 3386880*n**2 + 357350400*n + 4885954560 = 0. Calculate n.\nAnswer: -188, -24, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1\/3 (b) 0.3 (c) 1 (d) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8.9*4.2\nAnswer: -37.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1324716m in nanometers?\nAnswer: 132471600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37921 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7013062 * -0.2.\nAnswer: -1402612.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1626?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -408577923*d**3 - 13982*d + 2739 wrt d?\nAnswer: -2451467538*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1009 + 2295. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 963 = -936 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18*((-30)\/4)\/(-5)*(-18)\/54\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00556217692 rounded to four decimal places?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ac7 + -56?\nAnswer: -b50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 0*c + 17*c**2 + 0 + 11\/60*c**5 - 13\/24*c**4 + 1\/3*c**3. Factor k(r).\nAnswer: (r - 1)*(11*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 9*v**2 - 11*v + 12. Let d be w(10). Let j(s) = -d*s + 3*s - 4*s. Let i(n) = -n**2. Determine i(j(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, e: 3, l: 6}. What is prob of sequence lld?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 + 977 + 477 = 226*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*a + 1419, 0 = 5*t - 2*a - 2991 - 4104. Calculate the highest common factor of t and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*d - 256, 8*b - 9*b + 343 = 4*d. What is the highest common factor of 24 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from {k: 3, y: 5, e: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzciczwizcczcwwccg. Give prob of picking 1 g and 1 z.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111000001101111 (base 2) to base 13.\nAnswer: 10141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*u + o - 2, 2*u + 3*o = 16. Suppose 4*l = -u*y + 8, 2*y - 1 + 2 = -l. Let m(z) = 1 - 2*z**2 + 2*z**2 + l*z - 2*z**2 + 7*z**2. Calculate m(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39.1 + -39. Which is bigger: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -37, -38, -25, 2, 43?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-55))\/((-3)\/(-35)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 + 3*p**2 - p - 2. Let j be a(-1). Suppose j*z = z. Suppose -7*g + 5*g + 174 = z. Is 29 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -666686, -666683, -666678, -666671?\n\"Answer: y**2 - 666687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m**2 - 36*m - 246. Let y be j(-6). What is the greatest common divisor of 72 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 22, -71\/5, -0.1, -0.02 in ascending order.\nAnswer: -71\/5, -0.1, -0.02, 0.3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e + 17d3c?\nAnswer: 17ced","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -1. Let u(q) = q**3 + 3*q**2 - 2*q - 3. Let f be u(z). Let j = f - -14. Solve -2*p = j + 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 2 + 0*f**2 + 0*f - 2\/3*f**3. Let u(j) = 5*j. Let d(r) = -4*r. Let i(c) = -3*d(c) - 2*u(c). What is a(i(x))?\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**11\/11088 - r**7\/504 + r**4\/2 - 10*r. Let m(s) be the third derivative of d(s). Find the third derivative of m(f) wrt f.\nAnswer: 600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.12 and 347?\nAnswer: -735.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**5\/5 - 40096*y**4 + 3008044*y**3\/5 - 561512*y**2 = 0.\nAnswer: -50135, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -473*r**2. Let i(g) be the second derivative of -g**3\/3 - 331*g. Calculate i(l(w)).\nAnswer: 946*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 - 2. Let k = -228 - -242.4. Let y = k + -14.5. Which is the closest to y? (a) r (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-2) + 18\/8. Let o be (-234)\/(-2142) + (-3)\/(-17) + 18\/(-112). What is the nearest to y in -1\/11, 0.5, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 112 = 11*v. Let f(g) = g**3 + 17*g**2 + 16*g + 3. Let t be f(v). Suppose -c + t + 25 = 5*q, 0 = 2*c - q - 100. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, m: 1, w: 1, e: 1}. What is prob of sequence sw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (10 - (-37 - (-1 + 10)))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-14) - 411\/7. Let y be ((-3288)\/685)\/((-4)\/(-50)). Is d > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 8124*y**2 - 5516160*y - 21934848.\nAnswer: -3*(y + 4)*(y + 1352)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-6\/19)*(f*f\/f**(-29))\/f)\/(f**(15\/2))**(-7\/3) assuming f is positive.\nAnswer: f**(1855\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*h**2 + 3*h**2 - 5*h**2 + (-h - 3*h + 3*h)*(-3 + 3 + 2*h) + (0 + 0 - h)*(2*h + 0*h - 3*h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1979*n - 8 = 1981*n - 2*x, -10*n + 4*x - 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 262*j.\nAnswer: -262*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdwwwwwwwwwwwwwdwwww. What is prob of sequence dwdw?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 78*v + 113*v - 66*v + 36*v**3 + 119*v + 40 + 384*v**2.\nAnswer: 4*(v + 10)*(3*v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 + -61. Let t = -3 + 6. Let g = -1.7 + 0.7. Put l, g, t in descending order.\nAnswer: l, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 5*o**2 + 3*o + 7. List the prime factors of s(7).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47\/30 + 7\/6. What is the nearest to a in 4\/5, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + -2*sqrt(1900))*2)**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270020 and 1728128?\nAnswer: 8640640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/595 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10 and 335705.869971.\nAnswer: 335715.869971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -367c2 (base 13) in base 9?\nAnswer: -162410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - d + 58 + 0*d.\nAnswer: d + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w**4 + 86667*w**3\/2 - 703467*w**2\/2 + 730020*w - 69528 = 0. What is w?\nAnswer: -2897, 1\/10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 319, 1253, 2809, 4987, 7787?\nAnswer: 11209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(99) - 2*sqrt(99)))**2 + sqrt(99) + -5 + sqrt(99) + -1 + -4 + -3.\nAnswer: 6*sqrt(11) + 878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27547211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38392013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 17 = 4*v - 12, -9 = -v - 2*s. Solve -4*f + 1 = -v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.181 * -136.\nAnswer: 24.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2642047492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**4 + 2*n**3*z**2 - 12*n**3 + 2*n**2*z**2 + 313*n**2 wrt n?\nAnswer: 24*n + 12*z**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7 + 3\/7*u - 1\/7*u**2.\nAnswer: -(u - 2)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 - 3*l**2 + l - 2. Let z be g(2). Suppose 10*t - z*t = 24. Let m(y) = -3*y - 1. Let d be m(-2). Sort t, 1, d in decreasing order.\nAnswer: d, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 309*t**3 + 4*t**2 - t - 2. List the prime factors of z(1).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 2\/25, -2\/7, -2, -149, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -2*w**3\/3 + 238*w**2 - 28322*w + 478. Suppose m(r) = 0. What is r?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**4 + 303*r**3 - 26153*r**2 + 488289*r + 514744 = 0.\nAnswer: -376, -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -21. Let h = 308 + -289. Calculate the remainder when h is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535 is divided by 190?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 + 4*n**2 - 24*n**2 + (3*n - 2*n - 3*n)*(-2*n + 0*n + 0*n) - 4*n - 2*n**2 + 4*n + n**2 + 2*n - 2*n + 3*n - 3*n + 5*n**2.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82920 = -24*o + 4*o. Suppose 0 = 17*q - 11*q - o. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000988 to six decimal places.\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 476 and 5508.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2.89. Let o = -0.04 + b. Let r = 0.43 + o. What is the third biggest value in r, -0.3, 5, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(108) + 1 + 2 + (sqrt(216)*-2)\/(sqrt(24)\/sqrt(48)).\nAnswer: -18*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298990, 597935, 896880, 1195825?\nAnswer: 1494770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 448386300 and 42600.\nAnswer: 896772600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -14, -57, -124, -221, -354, -529?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26365832*p + 5534098.\nAnswer: 26365832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-789984)\/35870 + (-14)\/(-595)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.027, 129, -216, -5, 1?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 72 divided by -6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, m: 1, e: 1, x: 2, z: 3, r: 1}. Give prob of picking 1 z, 1 r, and 1 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 11177605 = -j. Let y = j - -5409844. Suppose -3*a + 174323 - y = 0. Round a to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwfyf. What is prob of sequence fwfy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 356740479 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 134360753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(176) - (sqrt(176)*2 - sqrt(176) - sqrt(176)) - sqrt(11)))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - -105) + -38 + -8?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2526420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 147*k**2 + k - 1. Let w be z(1). Suppose -3*o + 7*o - w = q, o + 3*q - 53 = 0. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 5, 17, 33?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 996 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16622688 divided by -3992.\nAnswer: -4164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -6. Calculate the remainder when 44 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34947685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 82, 2\/3.\nAnswer: 0, 2\/3, 5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8528.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15703b4 - 1?\nAnswer: 15703b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6357 and 4368?\nAnswer: 711984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -2. Let g = 6 + m. Is 6 a factor of -2 - (g + -3) - -16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674 is divided by 86?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5, -8, -29, -58, -95, -140, -193?\n\"Answer: -4*h**2 - h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*v - 259*v = -k + 3041, -3*v + 12229 = 4*k. List the prime factors of k.\nAnswer: 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 284934677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-16)\/(-12))*(-3)\/(-13)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j + 5*y - 220, 3*y - 46 = j. Let o = -173\/4 - j. Let i = -5 + 5. What is the fourth biggest value in i, -3\/4, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59)\/(-20945)*71)\/((4\/(-2))\/84).\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 - -49 - (-4 + 5 + 3 + -34).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 7 (b) 5 (c) 3 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9779 * 20260.\nAnswer: 198122540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/7 - 82*g**3\/7.\nAnswer: -g**3*(g + 82)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + -4*sqrt(187)*2 - (6*(sqrt(187)*-2 - sqrt(187)) - sqrt(187)))\/(-2*sqrt(99) - 1*sqrt(176)).\nAnswer: -6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 787*v - 3183 - 26132 = 15544 for v.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-14)*((-1 - 25\/(-35))*63)\/(-18)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a. Let q(n) = -9482*n. Determine g(q(f)).\nAnswer: -18964*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-16))\/(o\/o**(-1)*o))\/((o**(11\/6)*o)\/(o\/(o\/((o*(o*o*o\/(o*o**(-3)))\/o)\/o)))) assuming o is positive.\nAnswer: o**(91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2*(12 - 10). Let w(b) = 21*b. Let m be w(q). Put 0, m, 5 in ascending order.\nAnswer: 0, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 3, -3, 5 in descending order.\nAnswer: 5, 3, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbbfsbsbfb. What is prob of picking 1 s and 2 b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103833, 103831, 103829, 103827, 103825?\nAnswer: 103823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 212?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - y + 101. Let f be n(0). What is the common denominator of f\/(-16) + 3\/6 and (-13 + 4 + -1)\/(4\/(-19))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**3 + 30*y**3 - 9*y**3 - 14*y**3.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -767411 - 4?\nAnswer: -767415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4913, -5250, -5589, -5930?\n\"Answer: -k**2 - 334*k - 4578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 588991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4531861966?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - h + 39, -12 = -o + 2*h + 2*h. Let f be (-8 - -3) + (420 - -1). Suppose 58*y - 71*y + f = 0. What is the greatest common factor of y and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.532046s in microseconds?\nAnswer: 6532046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-1358)\/(-210)*1623 - 30\/(-50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, q: 1, g: 2, c: 2, d: 1}. What is prob of sequence cc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*i - 103*i - 71*i = 2988 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13729, 56348, 127379, 226822, 354677, 510944, 695623?\nAnswer: 908714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729985 is divided by 684.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63643\/15 - 4240. Find the common denominator of -49\/18 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/432?\nAnswer: -1\/432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/48 and -111\/44?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = p - 2*v + 25, -6*p - 13*v + 98 = -9*v for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 522 or 0?\nAnswer: 522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1460 = -d + b, b = -7*d + 5*d + 2926. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 6:46 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2940 and 20286?\nAnswer: 202860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/7 (b) 2\/11 (c) 22 (d) -1442\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from llkg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6142 - 6144. Let s = 0.06 + 3.94. Which is the nearest to s? (a) k (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7\/i**(2\/31))\/(i**(-3\/4)\/(((i\/i**(2\/43))\/i*i)\/i*i)) assuming i is positive.\nAnswer: i**(46063\/5332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 44?\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -12133 smaller than -12135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(700) + sqrt(700) + 1 + sqrt(700)) - (-1*sqrt(700) + -2))**2.\nAnswer: 1360*sqrt(7) + 202316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -3*h + 16*h. Solve 2 = -3*u - 2*r + h, 0 = 4*u - 4*r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4*k = 8, -6 = 2*p - 483*k + 480*k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 0 + 12*p**3 - 20 - 62.\nAnswer: 12*p**3 - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -1\/5*r**5 + 1\/35*r**7 + r**3 + 0*r + 1\/672*r**8 + 0 - 109*r**2 + 1\/48*r**4 - 1\/120*r**6. Determine h, given that s(h) = 0.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 652 - 651.9563. Round q to three dps.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 944*b + 7 = -939*b, 2*h + 5*b + 11 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + -1 + sqrt(75) + sqrt(75) + (sqrt(9)\/sqrt(12))**2 + -3 + (sqrt(162) + -2*sqrt(162))\/(sqrt(6) + (sqrt(90)\/sqrt(5))\/sqrt(3)).\nAnswer: -13\/4 + 27*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18804340 rounded to the nearest 100000?\nAnswer: 18800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 245233 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23410 - (15\/3 + -3). Suppose -2*v = -4*w - p, -2*w = -2*v - v + 35104. What are the prime factors of (-2)\/11 + v\/99?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8593*w**2 - 77336*w - 16. Determine f(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*z + 2*r, -3*z + r = 7. Let x = 1550 - 1549. Calculate the common denominator of 145\/6 and ((-166)\/(-52))\/(z\/2*x).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -26*t + 29*t + 300, 0 = -2*x - 5*t + 120. Which is smaller: x or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, y: 1, m: 4, w: 1, d: 2}. What is prob of sequence wmd?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1557 + -1556. What is the nearest to -1\/3 in 0.01, o, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6*(6 + -9). Suppose l*v - 8 = -4*h, -2*v + 3*v = 0. Suppose -7*t + 26 = -h. Solve -p + 5 = t*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-20)\/r**(2\/35)*((r*r**(1\/5))\/r)**(-1\/39) assuming r is positive.\nAnswer: r**(-5477\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4602 + 4602.1. What is the fifth biggest value in c, 15, -0.1, 5, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(4 + -2))\/(1\/4). Suppose -3*z - v = -7*z, -4*z - 12 = 4*t. Let n(i) = i + 33. Is n(t) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -593*x - 1004*x + 591*x - 306*x - 16079*x.\nAnswer: -17391*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -132, -35, 2, 10, -2\/15, 3 in decreasing order.\nAnswer: 10, 3, 2, 0, -2\/15, -35, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20517621 divided by 12.\nAnswer: 6839207\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 4668 + 860. Is 476 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4296 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o*v**2 - 72722*o + 465982*v**2 wrt o?\nAnswer: 2*v**2 - 72722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.13, 2, 0.15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3234 and 330?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71308361?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3239243l in millilitres?\nAnswer: 323.9243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62882a (base 12) to base 4.\nAnswer: -11322102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(76)\/(2*sqrt(64) + sqrt(64)) + -1)**2 + 2.\nAnswer: -sqrt(19)\/2 + 67\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5209, -10892, -16917, -23284, -29993, -37044?\nAnswer: -44437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11356 + 34057\/3. Find the common denominator of t and -127\/182.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2270.\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/39 in -1\/8, -5, -132, 0.2, 6\/7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b. Let v(q) = 12*q - 12. Suppose -7 + 1 = 3*r. Let t(m) = r*g(m) + v(m). Differentiate t(p) wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 3*m - 2. Let g = -4 - 2. Let h be (-144)\/(-14) + g\/21. Let c be (12\/10)\/(4\/h). Determine v(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27, 81, 159, 261, 387?\n\"Answer: 12*l**2 + 18*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + sqrt(85) + (-2*3*sqrt(85) - sqrt(85)) + sqrt(85))\/sqrt(5) + (-2*(-3*sqrt(204) + sqrt(204)))\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8321 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 + 13 = -3*k, -2*h + 16 = 2*k. Calculate the greatest common divisor of h and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/5))**(-10)\/(k**2\/k**(1\/7)) assuming k is positive.\nAnswer: k**(-69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.5 - 1.6. Let q be (-2)\/71 - 107214\/(-30388). Which is the closest to s? (a) q (b) -2 (c) -3\/2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129298, -258594, -387890, -517186, -646482, -775778?\nAnswer: -905074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4135 + -4067. Solve -2*q = -v + 58 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-7) - 1182\/(-42). Let o = -23 + k. Let i be 20000\/(o\/(945\/6)). What is i rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -10*h**3 - 8*h**2 + 6*h - 13. Calculate j(3).\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, z: 3}. Give prob of sequence lllz.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2032*10.08\nAnswer: -2.048256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -5, -34, 36, -13, 3 in descending order.\nAnswer: 36, 23, 3, -5, -13, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 19. Let c be z*((-162)\/(-30) + -5). Which is smaller: c or -56\/19?\nAnswer: -56\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 - 84. Solve v - 16 = -u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 628*f**3*o**3 - 6*f**3*o + 708*f**3 - 2*f**2*o**3 + f**2*o**2 + 1350*f*o**3 + 7*f*o**2 + 3*o**2 wrt f.\nAnswer: 3768*o**3 - 36*o + 4248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -55, 2*q + 97*p - 539 = 48*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6 + q**3 - 34*q**2 - 11 - 2 + 0 - 2 + 180*q. Does 35 divide z(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62604, 68216, 73830, 79446, 85064?\nAnswer: 90684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**4\/2 + 6583*n**3\/2 - 10915815*n**2\/2 + 268953417*n\/2 - 129022092 = 0.\nAnswer: 1, 24, 3279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 416\/(-130)*((-20)\/24)\/(((-55)\/(-75))\/11).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4139.14 - -0.2?\nAnswer: 4139.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21670308 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/(sqrt(12)*-2) - ((sqrt(2016) + -1*sqrt(2016) - sqrt(2016)) + sqrt(2016)))\/((sqrt(70)*-2*-1)\/sqrt(10)))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-21))**49 assuming z is positive.\nAnswer: z**1078","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 295160550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 6\/(-3) - -4. Let c(n) = k*n**3 + 2 + 10*n - 10*n. Let z(b) = -b + 1. Let m be z(5). Let f(l) = -3*l**3 - 1. What is m*c(j) - 9*f(j)?\nAnswer: 3*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16 - -0.24. Which is the closest to 1? (a) p (b) 2\/13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = -3*f, 8 = i + i - 2*f. Suppose 16 = -5*a + 2*p, -5*a - i*p = -a - 7. Let n = a - -12. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.06, 0.2, -3\/7.\nAnswer: -3\/7, 0.06, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 3*s - 7*s**3 + 4*s**3 + 2*s**2 - 3*s. Let f be w(-1). Suppose 2*y = -f*p - 100090 + 280106, -2*y + 5*p = -179980. Round y to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.3 + -19.1. What is the third smallest value in 4\/7, u, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170962.78 rounded to the nearest 1000?\nAnswer: -171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1477527, -1477528, -1477529, -1477530?\nAnswer: -1477531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 46*l + 12*l + 240 + 148 + 9*l - 388.\nAnswer: 68*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4333*q + 5 + 4331*q in the form v + y*q and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/20)\/(-5*8\/(-320))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 172 = y, 3*y + 112 = 2*v + y. Suppose 4*b + 3*l = 155, -4*b + 3*l - l + 150 = 0. What is the highest common divisor of v and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 5, 1, -147, -2.5?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8 = -0*p. Suppose l = -p*d - 8, 5*d = -3*l + 4*l - 20. Suppose 4*r - 5*r = l. Round r to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21001 + -10?\nAnswer: 20331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q - 8 = -28*q, -5*f + 15038 = -3*q. List the prime factors of f.\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -122*l - 9. Is o(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -12*x + 10*x. Let n = 0.7 - -1. Let p = -0.3 - n. What is the third smallest value in x, p, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q + 14. Suppose 169*l + 1144 = 65*l. Let p(z) = 5*z + 27. What is l*g(y) + 6*p(y)?\nAnswer: -3*y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 3*g**2 - g - 4. Let x be m(-2). List the prime factors of (3 - x\/2) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -7067.\nAnswer: -7\/7067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3*-4985\nAnswer: -14955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(0 - (-12)\/9). Let r be -2*(4 - 2)\/l. Let z = r + -4. Which is the second smallest value? (a) 2\/13 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1 = 3*l - 4*z, 4*l + 3*z = 24. Suppose -l*n - 4*b = -2*b - 13, 3*b = 3*n - 18. Let r(g) = 1 - 2 - 4*g + g**2 + 0*g**2. Determine r(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -11*y**2 - 10*y + 2. Let q be u(-17). Let w be (q\/(-124))\/(1\/4). Is w at most 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/70 of a week in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 21 = -5*r - 17, 2*r - 2 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -57 + -64?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, -10386, 22 in ascending order.\nAnswer: -10386, 22, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 3*c**4\/4 - 2*c**3 - 157*c - 457. Find the first derivative of z(a) wrt a.\nAnswer: 9*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10 = -5*l, -2*y = -0*y. Let f be (192\/(-63) - l)*(-36)\/(-16). Let r = f - 8\/7. Which is smaller: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8767 divided by -3.\nAnswer: -8767\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6729, -13880, -21233, -28788, -36545, -44504, -52665?\nAnswer: -61028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 6*l**2 + 5*l + 4. Let r be h(7). Let y = r - -15. Let x(n) = 2*n**2 - 5*n - 3. Is 9 a factor of x(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 379*h + 165 = -376*h, -4*h - 460 = -4*p. Suppose -5*y + 332 + 433 = 0. Suppose y = 5*m - 17. What is the highest common divisor of p and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/21)\/(10\/(-24)*(-68)\/(-85))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from yaafoaaafroyaaa?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5983783?\nAnswer: 13, 35407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3973345808.\nAnswer: 2, 17, 14607889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 = -2*v - s, -2*v - 3*v + 5*s = -590. Let g = v - 113. Let y be g\/(-2)*(-4)\/(-24). What is the nearest to y in -5, 1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1469*c**3*h - 1144*c**3 - 15*c**2*h**3 wrt h?\nAnswer: -1469*c**3 - 45*c**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 - 73*d**2 - 4*d - 27. Determine l(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 774.3345 days to nanoseconds.\nAnswer: 66902500800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o. Let c(y) = -2584*y**2 + 2*y - 12. Determine c(x(z)).\nAnswer: -10336*z**2 + 4*z - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4 + 6069*y**3 - 2992380*y**2 - 78127104*y - 264241152 = 0. What is y?\nAnswer: -21, -4, 1024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2812*m**3 + 19678*m**2 - 33702*m - 72 = 0 for m.\nAnswer: -3\/1406, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*j = -216*j - 4216 + 24922 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1344 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**4\/24 + g**3\/2 - 35508*g**2. Let i(j) = 3*j + 3. Let h(v) = -v**2 - 5*v - 5. Let w(x) = 3*h(x) + 5*i(x). What is w(n(z))?\nAnswer: -3*z**2 + 18*z - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from dddtffdpppmpdtdffd.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44083917 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q - 16*q - 21*q.\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/5*(12\/(-32))\/(((-54)\/(-76))\/9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 11, 5, 536, 1228, 4, -5 in decreasing order.\nAnswer: 1228, 536, 11, 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6422.7 * -2011\nAnswer: 12916049.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 115029, 115026, 115023, 115020, 115017?\n\"Answer: -3*r + 115032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008772034 to five dps.\nAnswer: 0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003525885 to seven dps.\nAnswer: 0.0003526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 10*a**2 + 4*a - 4. Let t(n) = n**3 + 11*n**2 - 14*n - 22. Let x be t(-12). List the prime factors of g(x).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.505 - -1.505. Is -26 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 + 10 = 4*q. Is 16 a factor of q\/(-3)*16\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/2 (b) -4 (c) -0.0891279 (d) -2\/3 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 59*g**2 + 4*g + 4. Let i(z) = 118*z**2 + 8*z + 7. Determine -4*i(j) + 7*n(j).\nAnswer: -59*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20900.62701 rounded to 0 decimal places?\nAnswer: 20901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0318 and -0.1.\nAnswer: -0.00318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -7*z + 27 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 13 - -2 - (-2 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 5*w, -3*k - 6*w + 9 = -4*w. Solve -3*f + 4*d = 24, 3*f + 0 - 3 = -k*d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 9:33 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84390 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = -57 - 23. Let d(j) = 334*j + 500. Let h(o) = 167*o + 250. Let g(t) = k*h(t) - 3*d(t). What is the first derivative of g(n) wrt n?\nAnswer: -167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 4*m - 2*m)*(-m - 2003 + 2003 - 656*m**2).\nAnswer: -656*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 685 - 3045 = -2*i, -2947 = -5*k - 4*i. Let x = -2251 + k. Does 6 divide (-4)\/(-26) + 2 + x\/(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bgbbbbbb.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58*w**2*z**2 + 7385*w**2*z + 5*w**2 - 2*w*z - 817031*z**2 wrt w.\nAnswer: -116*z**2 + 14770*z + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (44 - (202 + -105))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -11*w**2 + 44*w + 1015. Calculate the remainder when f(0) is divided by 98.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/21 and (-1)\/(-3) + (-268)\/80.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164756, 329806, 494856, 659906, 824956?\nAnswer: 990006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -32\/9 (b) -709 (c) 4 (d) -0.2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -71107, -284438, -639989, -1137760, -1777751?\n\"Answer: -71110*g**2 - g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 = -15*w + 363. Let n be 2\/30*(-5)\/4. Which is the closest to 2? (a) -1\/4 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1545, -3090, -4635, -6180?\nAnswer: -7725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -5*z**4\/24 - 7*z**3\/6 - 8*z**2. Let x(q) = q + 3. Let i be x(-6). Let o be g(i). Which is smaller: o or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 380578 or 380595?\nAnswer: 380595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -3*f**2\/2 + 4*f + 1. Let m be v(6). Let x = 8 - m. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*-1*6)\/(sqrt(5) + sqrt(5) + 1*(sqrt(5) - (sqrt(5) - sqrt(20)\/sqrt(4)) - sqrt(5))) + ((0 + sqrt(832) + sqrt(832))**2 - (2 + sqrt(325))))*5.\nAnswer: -40*sqrt(13) + 16630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/15)\/(2\/(-7)*63\/(-45))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 7*f**2 + 7*f. Let g be b(-8). Let y = -5 + g. Suppose -q + 2*c + 14 = 0, y*q + c - 47 = -q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90861 to the power of 1\/2, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -78.84245 and 10.92.\nAnswer: -67.92245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 - -10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*u - 176*u + 4*v + 147 = -94*u + 3*v, -3*v = 5*u + 249 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 - l**2 + l**2 + (4*l - 2*l - l)*(-2*l + 2*l - l) - 540 + 540 + 13*l**2 + (-l + 2*l + l)*(l + 0*l - 3*l).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (144\/(-1512)*(-224)\/6 - (-8)\/18).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*i**3*p**3*t + 2*i**3*p - 2*i**3*t + 2*i**2*p*t - i**2*t + 38*p**3*t - p**3 wrt i.\nAnswer: 162*p**3*t + 12*p - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68289, 68288, 68287?\nAnswer: 68286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7678, -15324, -22972, -30622, -38274, -45928, -53584?\n\"Answer: -q**2 - 7643*q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17376?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2760 + -1089. What are the prime factors of m?\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1487698285 to the nearest integer?\nAnswer: 38571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 7.13.\nAnswer: 10.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18413825 at most as big as 18413825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*v = 63*v + 36. Let d be -5 - v - (-393)\/3. Calculate the greatest common divisor of d and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*d**2 + 6*d + 2*d**5 + 40*d**2 - 74*d**2 - 3*d**3 wrt d?\nAnswer: 120*d**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -357 + 162 + 194 - 988*j as g*j + x and give g.\nAnswer: -988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 2:54 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 101488, 202975, 304462?\n\"Answer: 101487*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 4.06155581?\nAnswer: 4.06155581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 26*q**2 - 26*q + 52. Determine a(-27).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i. Let d(m) = -2*m - 212. What is d(a(x))?\nAnswer: 2*x - 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -3, 48, -5.\nAnswer: -5, -3, -1\/5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4166681, 4166682, 4166683, 4166684?\n\"Answer: i + 4166680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/1651 (b) -2\/41 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1\/2859 (b) 0 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25746 + -12307. What is the remainder when t is divided by 280?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -9. Let i(n) = -2*n + 1. Let k(c) = -c. Let m(o) = -4*i(o) + 11*k(o). What is the lowest common multiple of z and m(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10}. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 9*o - 4. Let m be l(-10). What is the tens digit of ((-4)\/m*-1)\/((-16)\/(-2208))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*f - 6. Suppose -t = f*t. Which is bigger: t or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*r = -4 - 4, -3*r = 3*z + 6. Put -7, z, -39 in ascending order.\nAnswer: -39, -7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -99. Let u be (t\/15)\/(((-7)\/6)\/7). Suppose b = 3*p - 3, -5*p + 4*p - 4*b - 12 = 0. Solve 5*x + p*x = -l - u, 2*l - 4*x - 18 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 6 = 3*i. Solve -g - 4*n + 7 + 8 = 0, i*g = -n - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 7*q**2 - 22*q**2)*(-6 + 4 + 1 + (0 + 3 - 2)*(1 + 4 - 6)).\nAnswer: 52*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 84 = 3*b. Suppose 17*r = r + 712 + 280. What is the remainder when r is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -851, -2 in decreasing order.\nAnswer: 12, -2, -851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 + 0.26. Let h = -2.8 + 3. Let u = -32.9 - -33. Which is the closest to k? (a) -0.1 (b) h (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/6)\/((-3)\/4). Let i = -50 - -50.61. Let c = i - 0.71. Is c smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 364*w**3 - 1029*w**2 - 17*w + 17. Let d(f) = 128*f**3 - 343*f**2 - 6*f + 6. Determine 17*d(l) - 6*y(l).\nAnswer: -8*l**3 + 343*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 12*j + 8*j = 16, 0 = 3*v + 2*j + 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 3 + 5 + (-20 - 6 + 5)*(1 + 0 - 4))*(-3*x - x + 2*x)*(4*x**2 + 5*x**2 - x**2) as l*x**2 + w + a*x**3 + j*x and give a.\nAnswer: -1232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 0 + 3\/2*v**2 + 5\/6*v**4 - 5*v - 1\/20*v**5 - 4\/3*v**3. Let h be w(6). What is the greatest common divisor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, b: 1, y: 4, c: 6, e: 1, x: 1}. What is prob of sequence cb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from {i: 2, f: 1, b: 1, l: 1, w: 1, t: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472694 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1041 and 112428?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*i - 2*j - 8, 4*i - 8 = -4*j. Factor 4*p + 46*p**2 - 47*p**2 + 3*p**4 - 2*p + i*p**3 - 4*p.\nAnswer: p*(p + 1)**2*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1070.59 and -577?\nAnswer: 617730.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -890 (c) 27 (d) -3 (e) 3\/4 (f) 561\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 111265*m**2 + 111325*m**2 - 222597*m**2 - 6*m + 3*m + 0*m.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(19)*1*-1 + 2*sqrt(19)*2 + 3.\nAnswer: 3 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 190821.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (13\/(195\/18))\/(2\/(-1140)). Suppose -2*u = u - 3165. Let q = u + z. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 v when three letters picked without replacement from {q: 1, o: 6, v: 5, f: 4}?\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g + 1\/6*g**3 + 0 + g**2. Suppose 0 = 2*q + q - 3*r - 6, -r - 6 = 3*q. Give w(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 174*h**3 + 314*h**2*m**2 - 48*h - 307*m**2 wrt h?\nAnswer: 1044*h + 628*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -7)*2\/(80\/(-30)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3*b - 6615 + 6648 = 0, 9*x = -13*x + 4*b + 260 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 7*a = -3*a - 760, a = -3*i + 1155. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -4. What are the prime factors of m\/((-10)\/24) - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**5 + 303*s**4 - 954*s**3 - 1788*s**2 + 8664*s - 7488 = 0.\nAnswer: -104, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 508.3 and 22.\nAnswer: 11182.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33128, 35429, 37728, 40025, 42320, 44613?\nAnswer: 46904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1879 divide 160521541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74827 to the power of 1\/2, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.17 + 7.14. Is -77 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479205869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 8 - 0. Put -2, c, 1 in descending order.\nAnswer: c, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -3.2\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2927737511145 and -0.01.\nAnswer: -2927737511145.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + (-9 - -17 - 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -13 + 3 + (-19 - (-32 + 12)). Is r at least 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*x**4 - 118*x**3 - 182*x**2 - 34*x + 36 = 0. What is x?\nAnswer: -18, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -326 (base 8) to base 4.\nAnswer: -3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gigggiigggg. Give prob of sequence gg.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/18 + 62099994\/27. Round p to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2545, -5075, -7605, -10135?\nAnswer: -12665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**4\/5 - 100266*h**3\/5 - 2513317689*h**2\/5 = 0.\nAnswer: -50133, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 - -2020?\nAnswer: 10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 649872972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13567 - 13567 + 53*j.\nAnswer: 53*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(1\/35)*b**(-1\/19)*b*b*b**(-34)*b**(-1\/24) assuming b is positive.\nAnswer: b**(-496721\/15960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5\/25)\/((-24)\/72)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504 and 4008?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 194549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32317, 258806, 873637, 2070982, 4045013, 6989902?\nAnswer: 11099821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13929200 divided by 388?\nAnswer: 35900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.575 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2. Let z(q) = 366875*q + 2. Calculate z(d(o)).\nAnswer: 1100625*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 + -6 + 5 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 257 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52591240 rounded to the nearest 10000?\nAnswer: 52590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 4*l - 8. Suppose -8*y - 8*y + 208 = 0. Let k = -21 + y. Let h be -11 + (k\/4 - -7). What is o(h)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12880 and 80?\nAnswer: 12880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-4)*12\/(-9). Let m(c) = 2*c - 1. Let u be m(l). Find the second derivative of u*p + 3*p**2 - 2*p + p wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a millisecond in microseconds?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 74608911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeaqqaaee. Give prob of picking 1 q and 1 a.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**2 - 1583138*c - 28996873?\nAnswer: 2*c - 1583138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(1\/(2\/2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 5*j**2 - 2*j - 5. Let s be v(4). Let y be (-15 + 12\/4)\/(30\/(-20)). Suppose -4*k + 44 = 4*x, 23 = s*x + y. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30356 divided by -4\nAnswer: 7589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2681*l - 19 + 5365*l - 2681*l + 21 + 12 + 2.\nAnswer: 3*l + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009900704 a multiple of 1526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 1 - 1)*(27*h**3 + 2*h**2 + 3*h**5 - 27*h**3).\nAnswer: 21*h**5 + 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/105, -6, -940.7 in descending order.\nAnswer: 0.1, 2\/105, -6, -940.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbhibhhhhb. Give prob of sequence bbb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s = -279. Is s a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 5:08 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 25 = 5*a + 46 + 49, 10 = -2*h for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40025*f**2 + 63*f - 272*f + 40023*f**2 - 80046*f**2.\nAnswer: 2*f**2 - 209*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 131*m + 665. Calculate x(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013107 rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from {w: 1, h: 2, c: 8, m: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -100, -14308, 1, 0 in decreasing order.\nAnswer: 4, 1, 0, -100, -14308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 38?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -8 - (-19 + -4 + 13 + -5 + -6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -67\/95 bigger than -22\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -93, 702, 2039, 3924, 6363?\n\"Answer: c**3 + 265*c**2 - 7*c - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c*p**4 - c*p**3*r - c*p**2*r + c*r + p**4 + 7*p**3*r + 43*p*r wrt p.\nAnswer: -24*c*p - 6*c*r + 24*p + 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40300 and 2015.\nAnswer: 40300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3 + 40*k**2 + 308*k - 1936 = 0. Calculate k.\nAnswer: -22, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*s + 1066, 4*d = 10*s - 11*s + 1430. What are the prime factors of d?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/3)\/(-10))\/(110\/(-60)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -9790000 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + x. Let t(c) = -3*c**2 - 5*c + 2. Let s(i) = t(i) + 2*y(i). Let j be -4 + 4 + -1 - (-2 + 3). Let a be s(j). Solve 0 = a*w - 6*w - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 - (-16012330389)\/(-77). Let l = t + 455831523339\/2192. Let y = 14\/137 - l. Calculate the common denominator of 61\/14 and y.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 10:46 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -15*o**8\/7 + o**5\/60 - 496*o**3\/3 - 3*o**2 - 2*o - 26. What is the third derivative of l(j) wrt j?\nAnswer: -43200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 68*r**2 - 557*r + 2251. Calculate t(75).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-295)\/(-37) - ((-1372)\/(-98))\/(3*(-21)\/(-36)).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fruu when four letters picked without replacement from {r: 3, a: 1, w: 5, h: 1, u: 3, f: 2}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/(-6))\/5*-10. Suppose 9*k = y*k. Solve 2*q - 4*c = 0, k = 2*c + 8 - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 9*f + 4*f)*(-2 + 2 - 2*f**2)*(f + 0*f + 5*f).\nAnswer: -132*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/3 of a year?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express v - 2*v**2 - 4*v**4 - 2*v - 2*v**4 + 0*v**2 in the form t + r*v**4 + s*v**3 + g*v + z*v**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/4*10\/(-3). Suppose 0 = -4*q - u*g + 10, -4*g + 3 = 3*q - 5. Solve -2*h - 3*h - 5 = q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/315 + (-2)\/18\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - j = -4*z - 4, -2*z + 16 = 4*j. Let f(l) be the second derivative of l**5\/20 - l**4\/12 + 7*l**2\/2 - l. Calculate f(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23031 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 992030 by 198406.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 9) to base 14\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/126684 and -83\/2232.\nAnswer: 7854408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3871.4 - 3481. Let s = t + -425. Let g = 35 + s. Sort g, -3, -1\/7 in increasing order.\nAnswer: -3, -1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, b: 2, m: 1, h: 1}. What is prob of picking 2 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4 = -2*o, 3*o + q + 6 = -3*q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.091733652 rounded to 5 decimal places?\nAnswer: -0.09173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4006 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5411577*q**6 - 25*q**2 - 11*q + 1925 wrt q?\nAnswer: 649389240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1178, -21116, -41054, -60992?\n\"Answer: -19938*h + 18760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-85)\/25 + 3 - (-1392)\/80. Solve 3*o - p = 5*w, 0 = 2*o + 9*w - 4*w - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 15*c - 3. Calculate v(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126 + 63. Let d be m - (-5)\/((-10)\/8). Does 13 divide ((-40)\/(-25))\/(d\/(-65) - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*q**4*w + 2*q**4 + q**3 - 2*w + 17 with respect to q.\nAnswer: -24*q**3*w + 8*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/(-8) - -4 - (-975)\/20. What is the greatest common divisor of 46 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.1, -4\/7, -2\/9 in decreasing order.\nAnswer: -0.1, -2\/9, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3092*6\/(-4)*20\/(-12).\nAnswer: 2, 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26223 - -1112?\nAnswer: 30335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 506, 1017, 1528, 2039?\n\"Answer: 511*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3408 and 169901296?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 588*v**2 + 28812*v - 470596.\nAnswer: 4*(v - 49)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(117)*2)\/(-1*(sqrt(9) + sqrt(81))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15480, -62865, -141842, -252411?\nAnswer: -394572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 642303.5 to the nearest ten thousand.\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qgqqqwqqqgqqqq. What is prob of picking 4 q?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/6 - (-28)\/6. Let l(m) = m**3 - 2*m**2 - 4*m - 5. What is the remainder when 31 is divided by l(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b = -16 - 13 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 8*h - 3, -2*x + 3*h = 479. Let d = x + 325. Let t = 74 - 44. Calculate the remainder when d is divided by t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w = 32*w - 60 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4487*h + 237808. Determine d(53).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 1016704.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 1737 - 687. Suppose 0 = 4*p - 174 - w. Suppose 0 = 5*g - 79 - p. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*j - 358*j + 1939*j - 299*j - 299*j - 427*j - 331*j.\nAnswer: -100*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 = 2*x + 6, 0 = 2*m + 4*x - 32. Suppose -n + m = n. Suppose -n*r + 8*r + 30 = 0. Is r < -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2. Let r(j) = -3387*j**2 + 2*j + 21735. Give r(a(n)).\nAnswer: -3387*n**4 - 2*n**2 + 21735","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-28) - (0 + (-9)\/(-21)). Solve -2*k + 4 = -z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 1\/3*c**3 + 0 + 4\/3*c**4 + 10*c**2 - 33*c. What is the second derivative of r(p) wrt p?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -171363*s**2\/4 - 2151*s\/2 - 27\/4 = 0. Calculate s.\nAnswer: -3\/239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*p + 63*p + 68*p + 72*p + 21*p - 360*p + 70*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -738 + 741 - 5*r**3 + 20*r - r**4 - 17*r to x + o*r + m*r**4 + g*r**3 + n*r**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**3 + 2*l**2 - 1. Let n be p(-1). Let v = n - -2. Let a = v + 3. Calculate the lowest common multiple of 3 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 3. Let c be o(3). Suppose -m - 232 = -c*b, 0 = -3*b - 2*m - 1 + 239. Calculate the greatest common factor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 + 5530*s\/3 - 11056\/3.\nAnswer: -(s - 5528)*(s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 139, 257, 407?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (8\/((-208)\/195) + 9)*3?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5952, -8146, -10342, -12540?\n\"Answer: -k**2 - 2191*k - 3760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 = -21*v + 7*v - 17 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76632?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 9 = 79*q - 82*q, 4*i - 2*q - 30 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, j: 3}. Give prob of sequence jhhj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**4 + 0*q**4 - q**2 + q**4 - 3*q**5. Let b(y) = 15*y**5 - 11*y**4 + 5*y**2. Let w(h) = -2*b(h) - 11*p(h). Find the third derivative of w(k) wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/2 - 3*t**2\/4 - 6*t + 3.\nAnswer: 3*(t - 2)*(t + 2)*(2*t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 523 and 128673305.\nAnswer: 128673828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2325860 is divided by 2445?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**4\/12 + s - 7. Suppose 5*o - 17 = -2. Let v(z) = -6*z + 4*z + o*z. Give m(v(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8418 and 2562?\nAnswer: 58926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.36 - 0.3. Let z = -0.22 - -0.08. Let j = m - z. Which is smaller: -2\/5 or j?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**2 + 109*g - 334. Give c(3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 262\/27 or 10?\nAnswer: 262\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12814\/9 + -1422. What is b in -2\/9*b**2 + m*b - 8\/9 - 10\/9*b**3 + 2\/9*b**4 + 2\/9*b**5 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -2, -4 in descending order.\nAnswer: 1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1509498 divided by 102.\nAnswer: -14799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -925*x - 5176 = -278*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11 + -3)\/(1\/(-94)). Which is greater: x or -753?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2233 = 1788*z - 109513 for z.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24, -129, 4, -5, -17, 5 in ascending order.\nAnswer: -129, -24, -17, -5, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiikiik. What is prob of sequence iii?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3108 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -1110121?\nAnswer: 1110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23536637 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: Let z = -9.14 + 0.14. Let y be (6\/(-20))\/((-2)\/5). Let x = -2.74 - -3.74. Which is the third biggest value? (a) y (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 37*d - 75 - 86 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 35)*1 + (-5 - -4). Let f be (b - 8)\/(34\/16 + -2). Let h = 283 - f. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 1. Let h(c) = 60*c**3 - 4*c**2 - 2*c - 11. Let v(s) = h(s) - 4*x(s). What is the derivative of v(a) wrt a?\nAnswer: 180*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + j + 1. Let h(n) = 2049*n + 14*n**2 + 9 - 2035*n + 1. Suppose x + 0*o = -o + 3, -o = -3*x + 21. Let i = -7 + x. Give i*h(u) + 12*a(u).\nAnswer: -2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**4\/8 - p**3\/2 + 2*p**2 - 3. Let l(u) be the second derivative of s(u). Find the first derivative of l(q) wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjhhjhjhhhhhhhhhhh. Give prob of picking 2 h.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -205, -406, -681, -1030?\nAnswer: -1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415356788*b**3 + 207678385*b**3 + 207678412*b**3.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 561 + 543*c**4 + 3035*c**4 - 356*c**4 + 1000*c**4 wrt c?\nAnswer: 16888*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -35\/8 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 6*t - 1. Solve -r - 3*d = 2, 0*r - r - 4*d - t = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a kilometer in meters?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -15 + -6 + 33?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/9 - 4472878*k**2\/9 - 2500822991030*k\/9 + 2500836409682\/3.\nAnswer: -2*(k - 3)*(k + 1118221)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11028, 6, 0, -6, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(6\/11)*w*w**2)**27)**(-28) assuming w is positive.\nAnswer: w**(-29484\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 7:22 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, p: 1, u: 6, w: 2, y: 3, h: 1}. What is prob of picking 1 u and 1 r?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 1 + 39 = 0. Let j(o) = o**3 - 3*o**2 - 6*o + 12. Is j(b) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - z**4 - 3*z)*(-11*z - 1 + 1) + (0*z - 2*z**2 + 0*z)*(-5*z**3 - 702*z + 702*z).\nAnswer: 21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3751566*f**2 + 10646883 wrt f?\nAnswer: -7503132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 2 - 2 + (0 + 0 - 5*d)*(-2 + 1 + 3) + d - 2*d + 3*d + 2*d + 0*d + d)*(-9 - 1 - 1) + (-2 - 2 + 5)*(-3*d - d + 5*d) + 0*d + 4*d - d.\nAnswer: 70*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 740*k - 746*k - 48. Let j(z) = 2*z + 2*z - 3*z. Calculate j(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 315*m**2 - 197*m**2 + 5*m.\nAnswer: -512*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 6*f**2 - 5*f - 5. Let v be m(5). Which is the nearest to -0.1? (a) 0 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 17 = -3*u, 5*u + 10 = 5*x + 5. Sort 10, u, -3, -5.\nAnswer: -5, -3, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**5 + 170*r**4 - 160*r**3 - 170*r**2 + 165*r = 0. What is r?\nAnswer: -1, 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3 = i, -5 = -4*k - 2*i + 13. Let x be -6 + -1*(-11 + 6). Calculate the lowest common multiple of k and x\/(-4 + (-325)\/(-55) + -2).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, z: 3}. Give prob of picking 2 b and 1 z.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i. Let s(d) = d - 3. Suppose g + 8 = q, 0 = 2*q - 5*q - 3*g + 18. Let a be s(q). Let z(m) = -a*m + 6 - 6. Determine v(z(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162743146, 325486291, 488229436, 650972581?\nAnswer: 813715726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -121, 10, 13 in descending order.\nAnswer: 13, 10, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 10044212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 7*t + 30. Let y be (-1)\/t + (-507)\/(-18). Suppose 4*p - 7 + y = h, 4*h - 106 = 5*p. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhc when three letters picked without replacement from ccccchchhhcchc?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -556 (base 7) to base 12.\nAnswer: -1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -155 - -157. Suppose y*v = 3048 + 2822. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 5085\/35 + (2\/(-3))\/((-42)\/(-18)).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**2\/2 - 2*x + 154. Calculate l(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 36 = -12 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325 and 750503.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9780521189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 62\/1053 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.26, -0.3, 1\/4, -1, 0.3, 5\/13.\nAnswer: -1, -0.3, 1\/4, 0.26, 0.3, 5\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 468 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(288) + sqrt(2) - sqrt(512).\nAnswer: -3*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1650.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -13 and -346\/25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z + 1. Let f be b(1). Suppose 2*i = -10, 3*c = c - 3*i - 33. Let a be (-6)\/f - (c + 11). Which is greater: -3\/26 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 2:53 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - x**3 + 7*x**3)*(2 + 3 - 2) - 2*x**3 + 2*x**3 + x**3 + (0*x**2 + x**2 + x**2)*(0 + x + 0) + 0*x**2 + 2*x**3 + 0*x**2.\nAnswer: 17*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -453\/11. Let m(t) = -t + 2. Let q be m(5). Sort q, l, 2 in descending order.\nAnswer: 2, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 6:11 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 70133085 divided by -1275147\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c - 35. Let f(q) = q - 17. Let i(r) = -13*f(r) + 6*m(r). Let a be i(6). Suppose 56 = -p + a*p. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -24 (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 - (-1087 + 1084 + -1 + 8).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4800 - -8459. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pemepeeveppp. Give prob of picking 1 e, 2 p, and 1 m.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 4164976 and 4164975 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 + m**2 - 6*m - 4. Let r(d) = -5*d**3 + 3*d**2 - 13*d - 9. Let p be (8\/14 + 7\/(588\/(-384)))\/(-1). What is p*r(v) - 9*b(v)?\nAnswer: -2*v**3 + 3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3984 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 13*s + 70. Let h be a(-5). Let k(g) = 23*g - 98. Let d be k(h). Let x(f) = -f**3 - f. Let c(m) = -3*m**3 - 3*m. What is d*x(j) - 6*c(j)?\nAnswer: j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l. Let w(v) = -4*v + 2. Let i(a) = a + 1. Suppose -x = 3 - 9. Let y(h) = x*i(h) - 3*w(h). Give y(z(b)).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097\/27 less than or equal to 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 3\/6*10\/(-1). Suppose 3 = -5*d + b - 0, 12 = -2*d + m*b. Let w be (30\/8 - 3)*4 + d. Solve k + 0 = -w*n - 5, 0 = 5*k - 2*n + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*j - 15*j - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6 = -11*f + 8*f, 4*f + m = -33. Sort -3, 5, 12, 1, f in increasing order.\nAnswer: f, -3, 1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 4. Let a be j(4). Let y = 3 - a. What is the closest to 0 in -4, y, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/137769 and 23\/456.\nAnswer: 1102152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6052\/1395 - -78\/31. Find the common denominator of z and -40\/33.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 - -0.055.\nAnswer: -57.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8129.367 take away -1.928?\nAnswer: 8131.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904467899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9111 (b) -0.3 (c) 2\/5 (d) 1\/5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 8 = 3. Let h be (-18)\/(-15)*i*40\/6. Let z(j) = j**3 + 9*j**2 - j - 2. Does 5 divide z(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42933)\/3903)\/(2\/6)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16833 or 16853?\nAnswer: 16853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o**2. Let t(j) = 27*j**2. Suppose h - 5 = -1. Determine h*t(c) + 15*x(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.0763621 rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + 8. Let j = x + -14. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 - -64. Suppose -2*d + t + 8 = d, 0 = 2*t + r. What is the second derivative of 17*m**3 + d*m**3 + 14*m**3 + 24*m wrt m?\nAnswer: 198*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -175*k**2 + 3*k. Let u(r) = 6*r + 6. Let s(y) = 9*y + 10. Let t(q) = 3*s(q) - 5*u(q). Calculate o(t(i)).\nAnswer: -1575*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**3\/3 + 4*g - 3. Let p be d(-6). Suppose 0 = -5*a + p + 5. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2547036?\nAnswer: 2, 3, 139, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -87, -246, -523, -924, -1455, -2122?\n\"Answer: -k**3 - 53*k**2 + 7*k - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 93 = -4*z, 0 = 3*z - z - 6. Let a = -13 + q. Let j = a + -6. What is the remainder when 3 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*c + 18. Let l(b) = b**3 + 9*b**2 - 4*b - 6. Let q be l(c). Suppose -3 - q = -i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 600849*a**4 - 2*a**3 - a**2 + 1772*a - 1 wrt a?\nAnswer: 14420376*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 19 + 76)*(u**2 - 3*u**2 + 5*u**2).\nAnswer: 303*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 2\/3, -3.192?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/27*(-4 + -34) and (-4)\/(-12) - 15\/168*-4?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9) + 8\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 212\/26 - (-30)\/(-195). Calculate the greatest common divisor of 152 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64678126 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g + 408 = 376. Let p(b) = 5*b - 5. What is p(g)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 4*f - 3*n - 252, f = -3*n + 65. Suppose -14 = -63*c + f*c. Calculate the least common multiple of 18 and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 6:12 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaayytyyyy. Give prob of picking 2 a.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278695 is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.3 + 7. Let p = -0.4 - y. Let m = -136\/9 - -46\/3. Which is greater: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14*(15\/(-6))\/(-5). Suppose b*p - 8*p = 0. Let z(g) = -g**3 - g**2 + g + 18100. Let u be z(p). Round u to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3864)\/(-5152))\/(165\/(-4))?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2930446970 to the power of 1\/4, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k. Let r(u) = 2*u - 3. Let h(z) = 3*z - 5. Let p(y) = -3*h(y) + 5*r(y). Give p(a(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from loaaf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**5\/25 + l**4\/5 + l**3\/3 + l**2\/5 + 2. Determine i, given that z(i) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*d - 5. Suppose 2*c + 5*x - 2826 = 0, 5652 = c + d*c + 4*x. Suppose -5*v + 452 = k, -7*v - c = -3*k - 3*v. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + (sqrt(102) + 6*sqrt(102)*2)\/sqrt(6)))**2.\nAnswer: 1300*sqrt(17) + 71925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -166, -242, -290, -292, -230?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791 is divided by (-2289)\/(-35) - 3\/(-5)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26547448 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*b**4 + 3 + 468*b**2 - 2*b - 468*b**2 + 0*b wrt b?\nAnswer: 384*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 812291224 to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -780514 and 31?\nAnswer: 780545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.0618 - -0.0618. What is the fourth biggest value in -0.4, 9\/8, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 5. Let y be c(8). Find p such that -2*p**4 - p**4 - p**3 + 5*p**4 - 4*p**2 - p**y = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 262925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + -2 + 3 - 3. Suppose 4*m = 5*s - 1, -t*m = -0*s + 4*s - 8. Are s and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 1014?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12297.\nAnswer: 3, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**1)**(-17)\/(c**(2\/11)\/c*c*(c*c**(-5))\/c))\/((c**(4\/5)\/c)\/(c*c\/(c**(1\/12)\/c)))**(7\/4) assuming c is positive.\nAnswer: c**(-107521\/2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 6. Suppose 3*y + 4 = -y + 5*q, -2*y + 16 = l*q. Find the first derivative of z**3 - 1 + z**y - z**3 wrt z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2204 + -2192. Suppose 110 = 4*x + r - 139, 3*x = -2*r + 188. Solve -58*j - u = -x*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**3 - 2*t**3 - t**2 - 2*t**2 + t**3 to the form a + h*t**3 + u*t**2 + v*t and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 e when three letters picked without replacement from eveaxxxxexvxevxxaex.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2982 + -1870. What are the prime factors of x?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -q - 5*v + 12, -2*q + 14 = 5*v. Let b(t) = t**2 + 8*t - 9. Let c be b(-7). Is q\/c + (-51186)\/(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 6:01 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 4*r**3\/3 - 251. Let j(s) = -9*s. What is d(j(c))?\nAnswer: 324*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/9 and -38\/5485023.\nAnswer: 5485023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30476 divided by 76?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 42?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13211 - -11?\nAnswer: 13222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 + 54 = 1605*c - 1614*c + 41 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 19*k**2 + 22*k - 5. Let t(p) = 9*p**2 + 9*p - 3. Let u(v) = 2*f(v) - 5*t(v). Let w(a) = 6*a**2 + a - 4. Determine 4*u(g) + 5*w(g).\nAnswer: 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(37*c**2 - 10*c**2 - 2*c - 12*c**2).\nAnswer: 45*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 0*g**3 + g**3 + ((8 - 2 - 2)*(-5 + 4 - 6) - 1 + 2 + 1)*(0 + 2*g**3 + 0).\nAnswer: -53*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -4. Suppose y = -y + z. Suppose -y*g = -2*g - 9. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 5:19 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 5*j - 282*j**2 + j.\nAnswer: -282*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 14 + 2)*((3*h + h - 3*h)*(-2*h**2 + 2*h**2 + 2*h**3) + (2*h + 7*h - 4*h)*(-2*h**2 + 2*h**2 + h**3)) + 6*h**4 + 2*h**3 + 3*h - 3*h.\nAnswer: -78*h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 7*y + 6*y - 2*y - 3*y + (0 + 2*y + 0)*(3 - 3 - 1))*(y**2 + 0*y**2 + 2*y**2) in the form s*y**2 + m*y + j*y**3 + k and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 15 = 3. Let y = z + -2. Find the second derivative of -y*b - b - b**3 + 5*b wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.3 - -15. Let n = k + -2. Round n to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14448375047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -1 - (-263 - -266 - 55).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 114\/152*(6 - 4)\/4. Which is the nearest to -0.03? (a) -0.5 (b) 0.3 (c) 0.1 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19582 - -43833. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496*y + 493*y + 306 = 3*q, -5*y + 3*q = -574. Calculate the lowest common multiple of y and 3410.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 3*m - 86. Let j be r(8). Suppose -5*i + o = -3 + 4, -2 = -2*o. Let l(n) = n - n + i*n - n**j. Let z(q) = -5*q**2. Calculate l(z(s)).\nAnswer: -25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -11. Suppose -m*c + 75 = -3*c. Suppose x + c = -5*t + 85, -15 = -3*x. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.081017g in tonnes?\nAnswer: 0.000000081017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -3. Let g = n + 5. Differentiate u**2 - 4*u**g + 3 - 2*u**2 + u**2 wrt u.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 10:44 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1351844 is divided by 1875.\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161 - 80. Let z = 83 - f. Let d(h) = 11 - h**z + 9*h - 9 - 10. Determine d(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 - 8*n**3 + 2*n**3)*(2*n**2 + n - n)*(2 + 1 - 1).\nAnswer: -20*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 3*m + 150. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 3:05 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 + 14\/3. Suppose 5*f - 5 = -l*h, h = 3*f - 3*h - 10. Let s(o) = 10*o + 11. What is the remainder when f is divided by s(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 86*b + 89*b = -25, -5*u - 2*b = 26 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (129 + -184 + 51)\/(((-4)\/(-2))\/(-8)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 20 - 0. Suppose 50 = c*l - 66. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -14*a + 15. Let r(z) = -5*z + 5. What is 7*r(d) - 2*w(d)?\nAnswer: -7*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*(-10)\/(-16)*(-640)\/20000.\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 352.3 - 352. Let o = -53\/39 + 9\/13. What is the closest to -3 in o, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h - 1 + 5\/2*h**2 - h**3 - 1\/4*h**4. Is 12 a factor of j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, t: 3}. Give prob of sequence ttt.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.20954\nAnswer: -0.20954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 289608324 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2945 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -14*c + 15*c - 7*c - 13. Let o be b(-2). Let p(d) = -d**3 - d**2. Let y(i) = 7*i**3 + 6*i**2 - 3*i - 2. What is o*y(r) - 6*p(r)?\nAnswer: -r**3 + 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 6*g**2 - g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-155)\/(-20) - (2 - 1). Let x = 33\/4 - g. Which is the second smallest value? (a) x (b) 3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d + 3*p - 54, 64*d - 35*d = 31*d - 5*p - 18 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/7, 2\/9, -0.04, -0.169, 0.1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -43, 10, -5 in decreasing order.\nAnswer: 10, -1, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168784197 is divided by 294?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aswausaauawcuawuaaa. What is prob of sequence cwaa?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**5\/15 - 3*z**2 + z. Let s(y) be the first derivative of q(y). Let n(h) = h. Give n(s(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -3352 - 1870. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 1. Let t(s) = 7*s**2 - s - 6. Determine 5*n(p) + t(p).\nAnswer: 7*p**2 + 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5602 + 5604. What is the closest to -0.29 in -1, -0.02, m?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*y - q - 3*q, 0 = 3*y + q - 4. Suppose 2*g - 9*j + 5*j - 2 = 0, -12 = -y*g - 3*j. Solve 13 = g*a + w, -3*a = -4*w - 32 + 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((9 - 2 - 0) + -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-221)\/(-255) + 1\/(-5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 725*s**3 + s**2 - 2. What is the hundreds digit of n(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 200 + -297. Let a = y - -64. Let r = 33.00085 + a. Round r to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6469226488 to the nearest integer?\nAnswer: 80432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 4*r - 4*r)*(r**4 + 85*r**2 - 93*r**2 + r**4).\nAnswer: 2*r**5 - 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -139662 - -139664. Solve 0 - 1\/8*m**3 + 21\/8*m + 5\/2*m**y = 0.\nAnswer: -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/7 - 2334*m**2\/7 - 776502*m\/7 - 79570970\/7.\nAnswer: -2*(m + 241)**2*(m + 685)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 160 = -2*k. Let s = -1122\/7 + k. Suppose 2*j + 3*h = 9, 4*j - 4 + 1 = -h. Which is bigger: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3347, -3558, -3769, -3980?\n\"Answer: -211*o - 3136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/617?\nAnswer: -7\/617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.07 and 61.5?\nAnswer: 61.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39887689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141730365.\nAnswer: 3, 5, 7, 43, 31391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*l - 20 = 0. Let z = 2 + -2. Let n = z - 0. Solve n + l = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3*t*t**3)\/(t\/((t*t*t*t**4*t)\/t*t)*t**(-1\/8)\/t)*(t\/t**(-2)*(t**3\/t)\/t)\/((t\/t**(-1\/16))\/t**(-2)) assuming t is positive.\nAnswer: t**(257\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*u = -15, -2*y + 10 = -7*y + 4*u. Let d be (-239)\/y*(-2)\/(-1). Let h = 358 + d. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*h + 15. Let m be h*(12\/(-9))\/(-4). Solve 2 - m = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -36, -66, -108?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -2, -3\/2, 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*d - 21 = -5*g, g = 3*d + 2. Let v = -3 - -17. Suppose 4*k - v = -3*q + 3*k, 2 = k. Calculate the lowest common multiple of d and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92582)\/73910 - (12\/(-10))\/1.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 69?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2490131 to the nearest integer?\nAnswer: 1578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2546*c**3 - 13955 with respect to c.\nAnswer: 7638*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence riri when four letters picked without replacement from {i: 3, r: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 157592 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74798*p**3*s**2 + p**3 - 2*p**2*s**2 - 2*p**2*s + 10*p*s - 2*s**2 - 386 wrt s.\nAnswer: 149596*p**3 - 4*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.0165 (b) 3 (c) -0.1 (d) -0.2 (e) 1 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*a - 10328, 4*r + 5*a = 4307 + 6015. Is 105 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 + -70 - (-3 - (0 - (-4 + 2))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6)\/((-12)\/(-36)). Put 5, j, 1\/2, -1 in descending order.\nAnswer: 5, j, 1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g = -h + 13*g - 9, -h + 3*g = -11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -916*m**2 - 743*m**2 - 114*m**2 - 277*m**2.\nAnswer: -2050*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-18))\/((-4)\/6). Let k(w) = w**2 + 6*w - 12. Let u be k(-10). Let j be 1\/(-4) - 1\/u. Which is the closest to n? (a) j (b) -3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5280.339g?\nAnswer: 5280339000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**4\/4 - 19*u**3\/3 + 45*u**2. Let w be q(-7). Solve 5*o + w = a - 5*a, 4*o - 1 = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.019413 grams to milligrams.\nAnswer: 7019.413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 10*b**2 - b - 69. Let k(x) = 2*x**2 - 14. Calculate -11*k(d) + 2*t(d).\nAnswer: -2*d**2 - 2*d + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 8:17 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 10 + 14. Suppose -b*c + 9*c = 147. Suppose -c - 9 = -6*q. Calculate the highest common factor of 15 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.2, 0.5, 8\/35711 in decreasing order.\nAnswer: 2, 0.5, 0.2, 8\/35711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2 + -21 + 416\/13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-5))\/j)\/(j\/j**8*j))\/((j\/(j*j*j\/(j*j**(-2\/3)\/j)))\/(j**6\/j)) assuming j is positive.\nAnswer: j**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1640 and 36485?\nAnswer: 59835400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 2*k**3\/3 - 9*k**2\/2 + 7*k + 5. Let b(x) = 3*x**2 - 5*x + x - 2*x**2 + 3. What is -14*b(g) + 6*m(g)?\nAnswer: -2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 28*d**2 - 92*d - 200. Is l(-15) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2052160990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/14 + 1\/70. Which is the third smallest value? (a) w (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, n: 5, a: 2, t: 1, b: 1, c: 3}. What is prob of sequence xnax?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*i*s**2 + 79989*i*s*u + 1375*i*u + i - 2*s**3*u + 112*u + 1 wrt s.\nAnswer: 12*i*s + 79989*i*u - 6*s**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -15 * 70.1\nAnswer: -1051.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + o + 3895 = 0, j = 2*j + 2*o - 1289. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i + 816*i**3 + 19*i - 5 - 5 + 3 + 1.\nAnswer: 816*i**3 + 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - y - 21 = 0, 6*l - l = -4*y + 20. Suppose -m = -8 - l. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -1.4, -2, 4\/3?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1728) - sqrt(1728)*1)\/sqrt(9) - (1*sqrt(243) - (sqrt(192) + -1)).\nAnswer: -sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = 0, 42 = m + 5*t - 23. Suppose -m = 3*i - 8*i. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426935546 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(-1\/44)*j*j**(-2)*j*j**6\/j)**48 assuming j is positive.\nAnswer: j**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, l: 11, w: 2}. Give prob of picking 2 h.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.279 - -6.229. Let z = -6 + x. Which is the nearest to z? (a) -0.3 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 31 - 26 + 68)*((2 + c**2 - 2)*(-65 + 65 + 5*c) + (5*c**2 + 3*c**2 - 2*c**2)*(4*c - 4*c + c) - 2*c**3 + c**3 - c**3).\nAnswer: -9*c**4 + 99*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -1338, -4540, -10782, -21078, -36442?\nAnswer: -57888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -482322*w**3 - 1703214.\nAnswer: -1446966*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 2*w = -3*z + 3*z + 130, -3*z = 3*w + 39 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 7:04 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - (-148)\/(-20))\/((-3)\/60). Suppose -3*u + b + 12377 = 0, 2*u - 6*b = -z*b + 8262. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698 is divided by 69?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6*r = 3*b - 4, 28 = b - 4*r. Suppose 3*p + 60 = b*p. What is the smallest common multiple of 18 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10771307.\nAnswer: 10771307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1074 = 3*l + 1011 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540720 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 11*j**3 + 7*j**2 + 11*j - 8. Let h(k) = -k**3 + 2*k**2 + 3*k - 1. What is 3*h(g) - p(g)?\nAnswer: -14*g**3 - g**2 - 2*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18707 or -1290844\/69?\nAnswer: -1290844\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 2*y**2 - 2*y - 2. Let b be r(3). Suppose 4*g + 0 = -4*u - 4, -3*u - 2*g = -b. What is the hundreds digit of 4\/(364\/120 - u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -27b?\nAnswer: 27c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 210005664 a multiple of 1111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 187003.6 litres to millilitres.\nAnswer: 187003600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -48*k + 33. Let u(p) = 3*p - 2. Let y(z) = 2*t(z) + 33*u(z). Let f(d) = -13*d**2. Give f(y(x)).\nAnswer: -117*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:12 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 + 3*j + 2. Let q = -2 + -4. Let a be c(q). Suppose 0 = -g + 5*g - a. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 bigger than -1557.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - sqrt(238)\/sqrt(7))*5)\/(sqrt(288) + (sqrt(288) - (sqrt(288) - sqrt(288)*-3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = -5*g - 20. Suppose -y - 24 = -5*j, j + 0*j = -g*y - 4. Calculate the smallest common multiple of 44 and 3 - ((-2 - (y - -3)) + 1).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1144, -1445, -1748, -2053, -2360?\n\"Answer: -y**2 - 298*y - 845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7503 + 8828. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.507 (b) -5 (c) -2\/21 (d) -3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31516 by -69.\nAnswer: 31516\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, -27, -70, -131, -216, -331, -482, -675?\n\"Answer: -m**3 - 24*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -1 - (-10 - 7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 3:50 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.357 - 15.127. Let x = -0.23 + s. Let d = x - -14.000028. What is d rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/6*6\/(-45). Suppose -6*c = -3*c - 6. Suppose c*w = 4 - 0. What is the nearest to w in -5\/3, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**1\/h))*h*h)**(-12))**(-35)*(h*h\/h**(2\/23))\/(h*h\/h**2)*(h\/h**(-2\/3)*h*h)\/h**(-3\/10) assuming h is positive.\nAnswer: h**(583657\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23941079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/495?\nAnswer: -1\/495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjrjbyrrbvjrvrrrvrbb. Give prob of picking 1 j, 1 v, and 1 r.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 211236299 to the power of 1\/3, to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22012705 - 36?\nAnswer: 22012647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -13*h. Let k(a) = -a**2 + 9*a + 120. Let x(n) = 2*n + 30. Let y(p) = -2*k(p) + 9*x(p). Let b(l) be the first derivative of y(l). Determine s(b(o)).\nAnswer: -52*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)\/c**2*c*c**(3\/8)*c*c\/(c\/(c*c**9)))**19 assuming c is positive.\nAnswer: c**(11343\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 + 25*c**4 + 6 - 15*c**4 - 5 wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41095831.\nAnswer: 7, 43, 136531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 = -5*t, 0 = -4*t - 0*t - 4*g. Which is smaller: 2.4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 12) to base 8.\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -20.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 396750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 133\/9809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -1\/2, 0.034, 0.4.\nAnswer: -5, -1\/2, 0.034, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 12:17 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12538, -24972, -37408, -49846, -62286, -74728, -87172?\nAnswer: -99618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/(-1 + -3) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.963 + 24. Let v = o - 0.107. What is v rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*b - b + 84, 4*x + b + 380 = 0. Let q be (-216)\/x + 3\/4. Suppose 0 = 4*z + q - 7. What is the lowest common multiple of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -79*w**2 + 4*w + 27. Let k(c) = -38*c**2 + 2*c + 14. Determine -5*k(m) + 3*n(m).\nAnswer: -47*m**2 + 2*m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30839583 is divided by 209793.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - 3\/1 - (-4 - -1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 12:46 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*u + 35, 0 = 4*c + 4*u + 1 - 5. Suppose 0 = -c*p - v + 65, 3*p + v = -v + 39. Calculate the smallest common multiple of p and 11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25582 = 1115*b + 1693*b + 84550 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6)*p*p**(-2\/7) assuming p is positive.\nAnswer: p**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 - 32. Put -0.3, 2, c, -5 in descending order.\nAnswer: 2, -0.3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -31*q - 6. Let k(p) = 6290*p + 1221. Let t(c) = 407*b(c) + 2*k(c). Let u(i) = -8*i**2 - 7*i. What is t(u(m))?\nAnswer: 296*m**2 + 259*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in 2\/7, 0.5, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/5)*m**5*m*(m**(-1)*m)**(2\/37))**31 assuming m is positive.\nAnswer: m**(1023\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5542 divided by -2?\nAnswer: 2771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -100*t. Let l(c) = -5*c**2. Calculate l(d(w)).\nAnswer: -50000*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*l = 3*l - 30, 3*u - 4*l = -5. Suppose u*s - s = 176. Calculate the remainder when s is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/((6\/75)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -31*r + 125. Calculate w(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 10:42 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 60*y**2 - 10*y - 661. What is p(-60)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 76909400?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 40.74 - 14713192329.\nAnswer: -14713192288.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 27 = -128. Let d = k + -58. Let s = d - -40. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 4. Let a be (-6 - -2)*140\/(-8). Is k + (-3)\/(-3) + a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -216731, -7, -3, -6 in increasing order.\nAnswer: -216731, -7, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(156))\/(sqrt(36)\/sqrt(3)*1) - (-4*sqrt(78)\/sqrt(6) + sqrt(468) + -2).\nAnswer: -14*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91.8 + -592.2. Let s = i - -683.9999445. Round s to six dps.\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 0. Let u = -11.36 - -8.36. Which is the closest to l? (a) -5 (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(1824\/1216*4\/66).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*d**3 + 31*d**3 - 46*d**3 + (2*d - 2*d + d**2)*(2*d - 4*d + 0*d) to the form f*d**2 + u + p*d + t*d**3 and give t.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**5 + w**5 - 6*w**5 + (-17*w**4 - 18*w**4 + 6*w**4)*(-w + 7*w - 3*w).\nAnswer: -88*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130 - -298. Let z = 170 - l. Solve -5*u = -5*c + 28 + z, 5*c + 4*u = 21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a centimeter in millimeters?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6335 is divided by 54.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2 - (-6)\/(72\/(-42)). Let c = 0.2 + -0.4. What is the closest to -1 in c, v, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184\/322 + 3\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/504)\/(((-2)\/(-6))\/1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/7))**7\/(i**6\/i*i**(-2)))**(-18) assuming i is positive.\nAnswer: i**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 6*q + 5. Let p be y(5). Let k = 50\/3 - 16. Let s = -17.7 - -18. Which is the third smallest value? (a) p (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1424? (a) -0.08193 (b) 0.2 (c) 1\/2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 + 3*k - 5*k**5 + 2*k**5 + (-k**3 + k**3 + k**3)*(-4*k**2 + 3*k**2 - k**2).\nAnswer: -4*k**5 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/10*5\/(-1). Calculate the common denominator of (61\/h)\/(7\/(-7)) and (2 + 9)\/(5\/2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-339.\nAnswer: -135.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l - 2. Let o(j) = 107*j + 161. Let s(t) = 8*g(t) + o(t). Give s(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -587165, -1174330, -1761495, -2348660, -2935825, -3522990?\n\"Answer: -587165*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1450847 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**5 + 1743*a**4 + 239*a**3 - 1643*a**2 - 7*a + 3 wrt a.\nAnswer: -60*a**2 + 41832*a + 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/16 and 95\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90973332 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -1.96358?\nAnswer: 3.96358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397995300.\nAnswer: 2, 5, 13, 19, 56599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((66\/(-1683))\/(42\/(-238)))\/(6\/(-45))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 - -9) - -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2277 and 414.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1126046 (base 7) to base 5\nAnswer: -14010400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*j**2 - 30*j**2 - 13*j**2.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 - -31. Let w = 263 + b. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 571*o - 2621*o - 1796*o - 1715*o as g + c*o and give c.\nAnswer: -5561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 32 (b) 0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000684 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 40 = -b, -b = b + 5*c - 70. Let x(d) = -2*d**3 - 428*d**2 - 358*d + 14496. Let h be x(-213). What is the greatest common divisor of b and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125380 (base 11) to base 12.\nAnswer: -96313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 6 + 6 + 3 + 1. Let u(m) = m**2. Give b(u(a)).\nAnswer: 3*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 divided by 49.\nAnswer: 102\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p - 2. Suppose -3*s = -4*t - 6, -4*s + 9*s = 5*t + 10. Let r(v) = -s*v - 4*v + 0*v + 4*v. Calculate w(r(g)).\nAnswer: 6*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 1709 and 654290\/383 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.039 - -22.039. Let d = u + -1. Let k = 21.0312 - d. Round k to 3 dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0.5. Let p = -1.9 - -1.9. Which is the nearest to 1? (a) -3\/4 (b) p (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3438 minus -0.182?\nAnswer: -1.1618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**7*l**(-1)*l**(-1\/6)*l**(-3) assuming l is positive.\nAnswer: l**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**0*j)\/((j*j\/j**12)\/j))**5 assuming j is positive.\nAnswer: j**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -27478 divided by 2498\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2692740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(320) - (sqrt(320) - (sqrt(320) + 3 - sqrt(320))))*5*5 + -3)**2.\nAnswer: 5476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31 and 1886?\nAnswer: -58466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4962526, -4962527, -4962528, -4962529, -4962530, -4962531?\n\"Answer: -u - 4962525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215134289 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + f**2)*(0*f - 4*f + f) + (9*f**2 - 4*f**2 - 2*f**2)*(-f + 0 + 0) in the form r + i*f**3 + a*f + y*f**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 270974302 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 28 = 2*n. Let l(k) be the third derivative of -k**5\/6 + 5*k**4\/12 - 2*k**3\/3 + 42*k**2. Let g(h) = -3*h**2 + 3*h - 1. Determine n*g(b) - 2*l(b).\nAnswer: -b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13704 and 26280.\nAnswer: 15005880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1456*l. Let z(c) = c**2. Give z(b(n)).\nAnswer: 2119936*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 2) + 12\/1. Suppose 0 = -11*a + 75 - r. Let y(z) = -z**3 + 5*z**2 + 7*z + 6. Let g be y(a). Solve 3*p + p = -g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2752)\/(-2688) - 6\/7 - 291\/18?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 2350 + 12544. Let v be (-3236)\/(-8) + 6\/(-4). Let x = a - v. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1818730*j**3*t + 9*j**3 - 28*j + 205 wrt t.\nAnswer: 1818730*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-12))\/((-50016)\/(-4689))?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-146*o**2 + 149*o**2 - 168*o - 26*o)*(-3 - 1 + 2).\nAnswer: -6*o**2 + 388*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -31*a + 3. Is 17 a factor of i(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + 2*sqrt(7200) + -1)*-5.\nAnswer: -600*sqrt(2) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -808223\/5 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -186\nAnswer: 5\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 16) in base 5?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**3 + u**2 - u - 1. Calculate c(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f - 9 + 4 + 10 - 4*f. Let z be a(-5). Solve z*r = r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -103 - -119. What is the first derivative of 3027*d**2 + 13*d**3 - 3027*d**2 + z wrt d?\nAnswer: 39*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7343236804?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -29.6. Let h = 6.3 + -5. Let l = h + f. Which is the third smallest value? (a) -1\/4 (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + (-2 - 6 - -6). Suppose -5*f = -3*j - 1182, s*f = 8*f - 2*j - 710. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*p - 4*i = 18, 0 = p + i + 2. Let l be (130\/8)\/(p\/8). Let v = l - 34. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4957633 - 4957633 - 3*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/13 - 500176*x\/13 - 2000736\/13 = 0.\nAnswer: -4, 250092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 21 = -5. Sort -5, -1, q in increasing order.\nAnswer: -5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 219570129 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 577 = -2701. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8 = 2*v, 3*v + 2 = -8*i + 9*i. Let s be (5\/(-3))\/v*-3. Solve -9 = 2*q - s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 31\/5 of a micrometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 5*x**2 + 4. Let a be j(-5). Suppose 7*p = 3*p + 28. Solve -3*u = -p*u - a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5\/7 - 425*v**4\/7.\nAnswer: v**4*(v - 425)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*w = -472*w + 950 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73493 + -73490. Let c be 1*(5 + -1) - -1. What is the greatest common factor of h and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*w - 22 = 0, -5*v - 46 = -10*v - w. Let j(a) = -11 - a + v + 6*a**2 + 1. Suppose 3*q - 4*p = q - 18, p - 3 = 2*q. Give j(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1048 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*v = -4. Suppose 0 = -0*w - w - 4*z + 56, -v*z + 154 = 4*w. Factor 2*u**4 + w*u**2 - 1 + 11 + 14*u**3 + 40*u + 6.\nAnswer: 2*(u + 1)*(u + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -16, -2\/7, -0.1, 0.1 in decreasing order.\nAnswer: 52, 0.1, -0.1, -2\/7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -27*h. Let d(u) = 42*u**2 - 1. Give s(d(v)).\nAnswer: -1134*v**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -43. Let f(v) = 20*v**2 - 2*v - 6. Let z be f(d). Suppose -5*o = o - z. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, u: 1, k: 5, n: 1, e: 7}. What is prob of sequence nkue?\nAnswer: 1\/936","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 30*w - 2. Let m be f(2). Let b(g) = 31*g - 2. Let o be b(1). What is the highest common divisor of o and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 297547530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 4070.\nAnswer: 4073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -583 - 817. Let p = 513 - f. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48.2076 - 48. Let g = 0.0076 - o. What is the nearest to g in 2\/3, 6, 2\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10646 (base 9) in base 3?\nAnswer: -100201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-510)\/34 - -23)\/84?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (35 + -46 + 0 + 6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -12, -24, 19, -2 in increasing order.\nAnswer: -24, -12, -2, -0.3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -23\/63 (b) -0.3 (c) 1\/20 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-8)\/(-1) - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -119161 or -119162?\nAnswer: -119162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/4 of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 76907 = -606368. Let h be (b\/12)\/5*-2. Let z = h - 4573. What is the common denominator of -31\/20 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 198, 55, -162, -435, -746, -1077, -1410?\n\"Answer: 3*d**3 - 55*d**2 + d + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 147200, 147214, 147228, 147236, 147232, 147210, 147164?\n\"Answer: -f**3 + 6*f**2 + 3*f + 147192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -24 - (-9 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + 191632111.\nAnswer: 191632139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, u: 2}. Give prob of sequence usu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/4)\/(15\/40). What is the units digit of (-4)\/80*-4 + 598\/o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, u: 3, z: 1, h: 2, e: 1, n: 6}. What is prob of sequence pp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, d: 1, v: 1, r: 2, q: 1, i: 8}. Give prob of sequence iq.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1573) + 1 + 3 + -5 + (2 + sqrt(1573))**2.\nAnswer: 55*sqrt(13) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 7*w - 6. List the prime factors of l(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32295 - 20551. Calculate the remainder when m is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -15 (c) 6 (d) -6207 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 0 + 1\/6*t**4 - t**2 + 3*t + 0*t**3. Let b(o) = 7*o. Calculate z(b(v)).\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7627 - 7592. What is the remainder when 1647 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/13 + -1\/117. Which is the closest to s? (a) -4 (b) -0.2 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9722302 and 0.8.\nAnswer: 9722302.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*n + 5*j, n = 5*j - 12 - 11. Suppose -7*p + 2 - n = 0. Let f = -138 + 142. What is the closest to 0 in 5, f, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**2 + 6*w + 2. Let k(m) = 6*m**2 + 6*m + 2. Let f be 64\/14 + (-30)\/(-70). Let x(g) = f*j(g) - 6*k(g). Let p = 11 - 16. Determine x(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141497878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-1 + ((-9)\/3)\/3). Let m be (1 - 11*1)*(-10)\/20. Find the third derivative of l*h**2 + 28*h**m - 2*h**2 + 4*h**2 wrt h.\nAnswer: 1680*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.09328 - 37.42272. What is a rounded to the nearest integer?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/(o*o**3))\/o*o\/(o\/o**0))\/(o\/(o\/o**(4\/7))*o)**25)**29 assuming o is positive.\nAnswer: o**(-8584\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h + 40. Suppose 2*q - 4*q - 5*o + 11 = 0, -4*q + h = -2*o. Calculate the common denominator of -83\/18 and ((729\/(-14))\/q)\/3.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 582 and 565737.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j - 6. Calculate the common denominator of -113\/18 and j\/(-4)*215\/65.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 540 and 148499730.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000220 (base 3) in base 5?\nAnswer: 21412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126 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: Convert 12.14725t to kilograms.\nAnswer: 12147.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 28 + 9 - 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z + 4*z + 216*z**2 - 218*z**2. Let f(w) = -14*w + 1. Give a(f(q)).\nAnswer: -392*q**2 + 56*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 - -136. Solve 10*d - m*d = -20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449 a factor of 254600150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 10 = 2*t, 0 = 2*t + 30*a - 27*a - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**3 + 2*v**2 + 6*v - 2. Let t be h(2). Let s = t - 14. What is the smallest common multiple of 8 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -28. Let n = -12 + 14. Suppose -5 = 5*m, -n*m = -2*a + 2*m - 2. Sort g, a, 6\/7 in increasing order.\nAnswer: g, a, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 733*t**3 - 1 + 2*t**2 + 1497*t**3 - 646*t**3.\nAnswer: 118*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 348191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 776 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004948198 rounded to five dps?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 867*o - 3 + 50 - 9.\nAnswer: -867*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-187)\/(-153) + 4\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((49\/7)\/(-7))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -36*r**2 + r + 10. Let u be q(-4). Let k = -331 - u. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -603573 from 5.\nAnswer: 603578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - 95*f + 164. Let q(o) = o**2 - 95*o + 162. Let k(p) = 4*n(p) - 3*q(p). Factor k(u).\nAnswer: 5*(u - 17)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64777.8 - 64778. Let h be ((-6)\/4)\/((-33)\/(-4)). Sort -1\/2, -27, u, h.\nAnswer: -27, -1\/2, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.212 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04893976 to three decimal places.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -17, 6, -28, -3 in increasing order.\nAnswer: -28, -17, -3, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82.1811 - 0.1011. What is g rounded to 0 decimal places?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxxhhalxn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a7dcb1 - -4?\nAnswer: -1a7dcac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - 2 - 2*f + 3*f**3 - f**3 + 0 to the form a*f + t + u*f**3 + i*f**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4249\/2820 + -5\/188. Let u = -6\/5 - t. Let k = 33 + -30. Which is the nearest to -0.1? (a) u (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3 - 20*y**3 + 3*y**2 - y**2 - 3*y**2 + 3*y + 4*y**2 + 19*y**3. Give c(5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 1451*r**4\/12 + 1303*r**2\/2 + 316*r. Differentiate s(q) with respect to q.\nAnswer: 2902*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + y + 1. Let u be v(-1). Suppose 5*z + 11 = -3*t, -4*z - 29 = -3*t + z. Let h be 2\/t - 33\/9. Sort u, 3, h in decreasing order.\nAnswer: 3, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 10. Let m = -1 - -13. Solve -x*h + m = -g, 20 = 5*h + 3*g - g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j**5 - 2*j - 5. Let v = -269 + 272. Let x(h) = 7*h**5 + h + 5. Let s(w) = v*d(w) + 4*x(w). Find the second derivative of s(o) wrt o.\nAnswer: 140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 7:54 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - -7) + (-55 - (93 - 172)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -242 - -733. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-13))\/((-69)\/897)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -187 divided by -28\nAnswer: 187\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2)*(u**3 - 1 + 1) - 2*u**3 + 3*u**3 + 0*u**3 + (0 - 2*u + 0)*(2*u - u**2 - 2*u) + 6*u**3 + 0*u**3 - 4*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 68*s**2 + 35*s - 506. Is 21 a factor of b(-67)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58323 is divided by 11651.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -8*p**3 + 3*p**2 - 3*p + 1. Give l(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34980 = 79*v + 1087*v for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {j: 2, h: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.35 - 0.65. Let q = -4.2 - n. What is the closest to -1 in -2, -1\/46, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 717 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 10*r + 2*r + 42 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1208 is divided by (-14)\/(-1)*50\/100 + 16\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, 3, 1, 89814, -2 in descending order.\nAnswer: 89814, 10, 3, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1556885 kilograms in grams?\nAnswer: 155.6885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**4\/12 + 3*p**2. Let b(s) = 6*s. Give k(b(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**1*v)\/v**(3\/4)*(v**(-7)*v*v)\/(((v*(v*v*v*(v\/v**(-4\/5))\/v*v*v*v)\/v*v)\/v*v*v)\/v) assuming v is positive.\nAnswer: v**(-211\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 8, -5*f + 17*c - 22 = 21*c. Let o(d) = 64*d**2 + 5*d. Let w(y) = 32*y**2 + 2*y. Calculate f*o(g) - 5*w(g).\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-22)*12\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -75*(2 + -3)\/((-2)\/(-6))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*4\/8*-2)\/(6\/(-126)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - q + 33 = 2*f, 3*q = -2*f + 31. Let p = -13 + f. Suppose p*k + 6 = 2*n, -5*n + 13 = -2*k - 18. Solve -c = -2*y - 10, 2*c = -3*y - 2*y - n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 5*u = -42, 43*y - 6 = 45*y - u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*b + 2*x - 7, b - 31 = -5*x. Suppose 0 = 2*v + 2 - b. What is the greatest common factor of v and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, s: 10, k: 4, d: 2}. What is prob of picking 1 d and 1 k?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25, -14, -5, 2?\n\"Answer: -a**2 + 14*a - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, 32, 205, 578, 1217, 2188, 3557, 5390?\n\"Answer: 11*m**3 + m**2 - 41*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 - 1 - (-4 + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/93 and 55\/48.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 26 = -20 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*u - j - 9, -2*j = -3*u + 46. What is the remainder when u is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-15))\/((-1)\/(-6)). Suppose -5*h = -k*h - 21. Let q = h - -23. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 30*p + 14. Let x(l) = -l**2 - 5*l - 30. Let s be x(-5). Calculate the remainder when k(s) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 7*b**2 - 2*b - 7. Let i be o(-7). Let z be ((-4)\/7)\/((-2)\/i). What is the second derivative of z*n**5 + 12 - 12 - 2*n wrt n?\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*s + s - 355. Sort -2, -76, -1, s.\nAnswer: -76, s, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 997 divided by -2171\nAnswer: -997\/2171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 6. Suppose 26 = -3*o - 5*j - 6, -3*j = -o + 8. Which is the nearest to 0.3? (a) o (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*r**4\/11 + 948*r**3\/11 - 3406*r**2\/11 - 2584*r\/11 - 448\/11 = 0. What is r?\nAnswer: -56, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009481 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/10 + -1)\/(1\/(-34)). Suppose -4*i + 3*i - z = -4*v, 3*v - 30 = -5*i. Find d, given that 0*d + 1\/5*d**2 + 1\/5*d**4 + 0 + 2\/5*d**i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*(-158)\/79*-18*(-70)\/378.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 25 - 3 - 246*y + 252*y + 67.\nAnswer: 6*y + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 2:23 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -178048, -355857, -533666, -711475, -889284, -1067093?\n\"Answer: -177809*c - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4 - 16 - 16. Let i(m) = 5. Let g(t) = -2*c(t) - 15*i(t). Let w(u) be the first derivative of -u**2\/2 + 6*u - 1. Calculate 5*g(v) + 2*w(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, o: 4, x: 1, v: 2, f: 3, e: 3}. Give prob of picking 1 v, 1 e, and 1 j.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 75*f**3 + 8*f**2 + 35*f - 40. What is z(1)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/(-1) - 0\/(-2). Let k be n\/(-20) - 4\/10. Let d be (-4)\/7 + 296\/518. Is k >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 8*f**2 - 3*f + 12. Let g be r(-9). Let i(l) = 15*l**3 + l**2 - 2*l + 1. Let z be i(1). Calculate the greatest common factor of z and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + ((sqrt(275) + -1)*6 - (-1 + sqrt(275) + -4)))*2)**2 + -4 + 5.\nAnswer: 27501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 819980787 rounded to the nearest 100000?\nAnswer: 820000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30849499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 3*w**2 - 34*w - 6. Calculate k(8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 0.41, 7, -779.\nAnswer: -779, 0.41, 7, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7451902.8us in hours?\nAnswer: 0.002069973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8165 + 81653\/10. What is the third smallest value in f, 0, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29587 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 687871*d. Let a(t) = 2*t**2. Determine u(a(f)).\nAnswer: 1375742*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 8*s + 8. Let t be 1\/((-3)\/63*-3). Calculate y(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 95, 122, 135?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 - -6.03. Let l = f + -19. Let o = l - -15. Which is smaller: o or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/9 or -5\/215148?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30138845*o**3 - 3*o + 6216925 wrt o.\nAnswer: 180833070*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 138702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, w: 6, x: 1, l: 1, a: 2}. What is prob of sequence awax?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83537143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48213174 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-24 + 14 + 2 + 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 4. Let j be y(10). Suppose 9 = 5*p - j. Differentiate p*h + 0 + 2*h - 1 wrt h.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-21) - (-60)\/21. Let b(n) = -2*n**3 + 3*n**2 - n + 1. Let o(c) = c**2 + c. Let g be o(1). Let s be b(g). Put s, k, -4 in descending order.\nAnswer: k, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) -21 (c) 27\/11 (d) 55 (e) -1 (f) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Let k be 252\/196 - (-4)\/(-14). Let y = 19.1 - 19. What is the nearest to y in u, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685837951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 29933*h**3 - 2*h**2 + 1 + 29931*h**3 + 3*h to o*h + q + b*h**3 + r*h**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 3*w - 241*q + 243*q, -3*q = -12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -159\/297386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, k: 10}. What is prob of picking 3 k and 1 z?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t + t**2 - t**2 - t**2. Let y be p(-4). Let a = y - -18. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 + 40*t**3 - 115*t**2 - 150*t.\nAnswer: 5*t*(t - 3)*(t + 1)*(t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -50*n + 433 + 185 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + sqrt(1008) + sqrt(1008)*1 + sqrt(1008) - sqrt(1008))\/(sqrt(400) - 2*sqrt(400)).\nAnswer: -9*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 37*y**2 + 224*y - 60. Calculate d(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 181453781206 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.984? (a) -5 (b) -3 (c) -3\/4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.018 - -10.618. Let m = n + 110.4. Let b = -121.00009 + m. Round b to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2. Let i(y) be the second derivative of -529*y**3\/3 + 30*y - 9. Calculate o(i(w)).\nAnswer: 1119364*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -223510 (base 6) to base 10\nAnswer: -18978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5521, -5530, -5539?\n\"Answer: -9*m - 5512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22298 - 1793. What are the prime factors of y?\nAnswer: 3, 5, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + w - 14 = 0, 59*d - 57*d - 5*w = -2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295589?\nAnswer: 7, 42227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*d**3 + 0*d**2 + 2*d**2 + d**2 - d**2 to r*d**2 + z + o*d**3 + p*d and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9)*1*2\/(-28)*1?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -1\/4*f**4 - 5 - 2\/3*f**3 + 3*f**2 + 6*f. Calculate l(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/108*3\/10*-18\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4973*k**2 - 4973*k**2 + 14960*k**2 + 2*k - 5009*k**2 - 2*k.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 14)*(0 - 1). Let a = m - 7. Find the third derivative of -5*f**5 + 5*f**2 - 4*f**4 + 4*f**4 - a*f**2 wrt f.\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1435*b**2 + 187 + 173 - 1283*b**2 - 356 + 340*b**2 + 12*b wrt b.\nAnswer: -4756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + -8 - (42 - 20)) + -20.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 2, m: 1}. What is prob of picking 1 a and 1 m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.2372 millimeters to centimeters.\nAnswer: 3.32372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 15*n**2 + 9*n**2)*(-2*n + 4*n - n).\nAnswer: 19*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -k - 242, 4*k + 71 - 51 = 0. Which is the nearest to s? (a) 3\/4 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + -40 + (-22 - -157)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*h**3 + 336*h - 336*h + 3 + 5*h**3 - 3 + (-2*h + 6*h - 2*h)*(0*h**2 + 3*h**2 - h**2) - h**3 + h**3 - 2*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4779572?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - v + 6, -3*v - 6 = 0. Suppose 0 = -2*y - 4*o + q, -3*y + 4*o - 1 = -3. What is the derivative of -2 + 3 + i**2 - y - 3 wrt i?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkhh when four letters picked without replacement from hkhkhhk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*d + 5*d - d)*(3*d - 6*d + d) + (0 + 0 + 3)*(-9*d**2 - 354 + 354) as y*d**2 + n*d + k and give y.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) -8 (c) -0.7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 782 + -1532. Let z = 727.14 + g. Let n = z - -24. Round n to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1840 - -1839. Which is the closest to f? (a) 6\/155 (b) -2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 6*f - 3*f = -98, -90 = -5*t + 5*f. Let u be 490\/330 + 4\/t + -3. Which is the nearest to 1\/2? (a) u (b) -4\/7 (c) 2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575211227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531 is divided by 175.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3 = 0, -156*v - 2 = -155*v + 5*i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*s + 25. Let i = 90 - 85. Suppose 0 = -4*r + 5*q - 2*q + 8, i*r = -q + 29. Solve 0 = s*x + 2*x - r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -141\/5 in -4, 1, -4\/5, -2\/41, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 + 7*u**2 + 5*u - 3. Let n(v) = 3*v**3 + 8*v**2 + 6*v - 4. Suppose 2*q = -3*l - 17, -6*q + 3*q - l = 15. Let a(t) = q*c(t) + 3*n(t). Give a(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3)*6)\/((-1)\/2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1692)\/26 + 301\/559*(-2 - (-30)\/14)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*o + 116 = 0, -2*v + 88 = -0*v - 4*o. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -392 - -2359\/6. Let h = 3\/2324 - 969\/75530. Let a = 2461\/780 - h. Find the common denominator of a and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - (-87 + 26 + 1)) + 2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*(-2 + sqrt(99))*1.\nAnswer: -36*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 2:42 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 + 7\/4. Suppose -5 = -o*q + q. Suppose -i - 32 = -q*i. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 - 42*t - 22. Determine s(13).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.008 + 0.392. Let k = -0.2 + 0. Let h = 24 - 22. Which is the closest to -0.3? (a) l (b) k (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = -d - 10713*f + 10717*f, -2*d + f - 32 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42251 and 299?\nAnswer: 549263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -16, -28, -56, -106, -184?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155769138 or -155769137?\nAnswer: -155769138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*q**2 - 1 + q**3 - 53*q + 36*q**2 - 2*q**3 + 0 to the form v*q + y + l*q**2 + i*q**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 7. Let z be n(-7). Suppose z = -i - 4*i + 50. Let x(f) = -f**3 - 3*f**2 - f + 1. What is the remainder when i is divided by x(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.03 (b) 2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -h - 13, -3*h + 2819987*w - 2820040*w + 197 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 189*m**2 - 3*m - 1 - 19 - 2 - 211*m**2. Calculate the remainder when x(-22) is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79585949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4212 and 540?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1090\/1308)\/((-8)\/(-3) - 1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-9)*(-2)\/8. Let w = 35.3 + -35. Sort z, -3, w in increasing order.\nAnswer: -3, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(2\/5)*w*w**8*(w*(w\/(w\/w**(2\/5)))\/w)**(-42))**(-16\/5) assuming w is positive.\nAnswer: w**(432\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87 - -91. Suppose 0 = -2*y + 3*g + 112, 5*y = 3*y + h*g + 116. Let b = y - -23. Calculate the remainder when b is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 418 and 12749.\nAnswer: 25498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 16, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(363) - -6*(sqrt(363) + sqrt(363) + -1)) + sqrt(363))*-4)**2 - (sqrt(1029)*2)\/sqrt(7)*-3*-6.\nAnswer: -34748*sqrt(3) + 1139152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 + 32*l**3 - 116*l**2 + 48*l + 198.\nAnswer: -2*(l - 11)*(l - 3)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27121357 is divided by 28914?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -21*w + 17*w + 4, 0 = t - w - 2. Solve 3*u - 20 = -u, 0 = t*k + 2*u - 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -464947479 divided by 33399.\nAnswer: -13921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -343012 (base 5) to base 3\nAnswer: -121210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3 - 39295845*x**2 = 0. What is x?\nAnswer: -13098615, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/7 + 56110786*r**2\/7 - 16031652*r.\nAnswer: -2*r*(r - 28055391)*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*-3 - (0 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-9)*((-186)\/(-125))\/(-31)*-10.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10771 - 10776. Let l = 0.1 - -0.9. Sort c, 0.1, l, 2\/13.\nAnswer: c, 0.1, 2\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Suppose -2*v + 43 = 7*n, 11*n = 4*v + 10*n - 131. Sort 3, v, i in descending order.\nAnswer: v, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 549 and 15417.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i**3\/3 + 10*i**2\/3 + 29*i\/3 + 20\/3 = 0. What is i?\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 + 103 = -4*v, 0 = 4*i + 2*v - 18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*i**2 - 2915*i - 830 = 0. What is i?\nAnswer: -83, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-8)*t)\/(t\/(t**8*t*t))*t*t**5*((t*(t**(4\/3)\/t*t)\/t)\/t)\/t assuming t is positive.\nAnswer: t**(73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9432 - 4?\nAnswer: 9428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:35 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -101, 1, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -202945*i**2 - 25*i + 52688517.\nAnswer: -405890*i - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 3291, 90 in increasing order.\nAnswer: -59, 90, 3291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 575.482 litres to millilitres.\nAnswer: 575482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 1 = 10*t + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 167 + 27. Solve -16*b + 4 = -k*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*t + 158. Let u be (t\/(-2))\/(6\/(-16)). Suppose -j - u = -3*f, -3*f = -2*f + 3*j - 14. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1149.5 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 14. Let m(n) = n**3 + n**2 + 1. Let q(x) = 3*x**2 - 6*x - 4. Let u(h) = h + 1. Let j(r) = q(r) + 6*u(r). What is w*m(i) - j(i)?\nAnswer: 2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**5 - a**5 - 2*a**4 - 2*a**5 + (3*a**2 - 2*a**2 - 9*a**2)*(a**2 - 2*a + 2*a)*(-3*a + a - 4*a).\nAnswer: 49*a**5 - 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = z. Let i(r) = -r + 1. What is the lowest common multiple of i(z) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hphh when four letters picked without replacement from {e: 6, h: 3, n: 1, p: 8, d: 1}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 8*o + 126. Which is the closest to 28? (a) -1 (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -31, -47, -49, -25, 37?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1861\/11 + -169. What is the biggest value in -9, z, 2\/9, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*c - 6*d + 25, 3*c - d = -5. Suppose 0 = -h + 3 - c. Let l = h + -3. Solve l = -3*p - 1 - 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.026169 - -1.0303. What is u rounded to 4 decimal places?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118269611 + 45519.\nAnswer: -118224092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 62 - 2?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 135 + 7?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*o + h + 25, 4*o - h - 51 = 0. Let m = -5 + o. Suppose 0 = -l + 5*l - 68. Solve l = -5*c - m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2160 - -9058226?\nAnswer: 9056066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + -3000121101?\nAnswer: -3000121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.6 - 2. Let r = -0.8 + q. Which is smaller: r or 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 20) + 0 + (4 - -7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.863954 decades to centuries.\nAnswer: 0.9863954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -170.101 (c) 0.04 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3295146909.\nAnswer: 3, 1098382303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*g**2*i**3 + 5219*g**2*i**2 + 474*g*i**3 - 71*g*i**2 wrt g?\nAnswer: -18*i**3 + 10438*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x = -25*x + 39. What are the prime factors of x?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5648\/(-11))\/(1\/(-1)). Let v = 514 - j. What is the nearest to 0.2 in 3, v, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109956 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 9355 = 4*k, -27*d = -5*k - 22*d + 11750. Calculate the greatest common divisor of k and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7448 and 5396.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 12. Let y be 1 - 4 - (4 + z). Let p(w) = -9*w + 7*w**2 + 4*w + y*w**3 - w**3. What is p(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 787?\nAnswer: -10\/787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1680?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0)**(-1\/41))**(-23) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 40. Let a be w(7). Suppose -3*i + 5*h + a = 0, 3*i - 54 = -2*i + 3*h. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6640 + 62*g**3 + 81*g**3 + 6645 - g)*(5*g - 2*g - g)*(0*g - 3*g + g).\nAnswer: -572*g**5 + 4*g**3 - 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 5*q**2 + 4636158970*q + 1074698499755573045 = 0.\nAnswer: -463615897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*c - 3*l, -2*c = 3*l + 3 - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (8 - 2) - (-1 + 74 + (-408 - -393))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(210)\/(sqrt(7) + -3*sqrt(7)))\/(sqrt(54)\/(sqrt(441) - sqrt(9))).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31.13 + 31. Let f = 0.23 + y. Which is the third smallest value? (a) f (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 175300000 to the nearest one million.\nAnswer: 175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1030093444.\nAnswer: 2, 17, 127, 181, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 544285 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 942830227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 1\/6*c**4 + 0 + 3\/2*c**3 + 0*c**2 + 41*c + 0*c**6 - 11\/42*c**7 + 3\/20*c**5. What is the third derivative of v(w) wrt w?\nAnswer: -660*w**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -13. Suppose 3*f + r*m = 2*f, m = 0. Is f smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 4*j + 4*i + 13, 0 = -j - i + 14 - 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + h + 1. Let o(d) = 2*d**2 + d + 1. Calculate 5*n(r) - 6*o(r).\nAnswer: -2*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.846 - -573.154. Let l = t - 626.4. What is l rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3\/4 - 831*g**2\/4 + 1275*g\/2 + 2100 = 0. What is g?\nAnswer: -280, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 452 divided by -993\nAnswer: -452\/993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15897052\/9 or 1766338?\nAnswer: 1766338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0089288 rounded to four decimal places?\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-12) + (-29544)\/(-9). Suppose 2426 = 33*y - m. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 47*m**2 - 100*m + 98. Let c be n(49). Solve 890*h - 885*h - 5 = c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Suppose y = 4*c - 10. Let b(m) = -3 + c - 3*m**2. Let z(x) = 3*x**2. What is b(z(d))?\nAnswer: -27*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -936 or -935?\nAnswer: -935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -2\/5 (b) -0.2 (c) -0.48844\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 46 = 158. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -10*c**3 - 22*c**2 + 30*c + 17. Let r(h) = 7*h**3 + 15*h**2 - 20*h - 11. Let m(o) = 7*r(o) + 5*y(o). Determine m(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 + 3*r + 7. Let t be w(-5). Suppose -9*i - t = -16*i. What is the least common multiple of 26 and i?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (-55 - 12\/(-4)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 0.4, -0.11306, -0.3, 69?\nAnswer: -0.11306","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 15*t**2 + 7*t + 9. What is g(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 209 = -4*s + 29, 2*z = -4. Suppose -3*p + 191 = q, q = -p - 4*q + s. Let k = 135 + p. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 3*k + k + 113 - 15.\nAnswer: -2*k + 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 965, 3935, 8893, 15851, 24821, 35815?\n\"Answer: 2*y**3 + 982*y**2 + 10*y - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvvvvvvvbvvb. Give prob of sequence vbvb.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2.1. Let h = -25.9 + 24. Let p = h + z. Which is the biggest value? (a) 2\/3 (b) p (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -396, 0.4, 0.2, 4, 0.47, 1 in increasing order.\nAnswer: -396, 0.2, 0.4, 0.47, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/5*(38 + -18). Let x(v) = -3*v - 14. Let z be x(c). What is the units digit of z - 5\/((-15)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 1\/30*i**4 - 1\/50*i**5 - 1\/5*i**2 + 0 + 1\/15*i**3 - 2*i. Solve x(m) = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67.9 - -49.7. Let g = 18 + p. Which is the third smallest value? (a) g (b) -2\/37 (c) 2\/19 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 301*h + 1410 = -304*h, -1749 = -5*c - 3*h. Calculate the lowest common multiple of c and 858.\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6061 + 9994. List the prime factors of o.\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -160*x - 25*x + 33*x + (-2*x - x + 4*x)*(-2 + 3 - 2) - 294*x + 239*x - 401*x + (1 - 2 + 2)*(-3*x - x + 3*x) as r*x + t and give r.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 101129771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g**(-3\/4)*g))*g*g*(g\/g**(2\/19))\/g)\/((g*g**1)\/(g\/g**(-1\/3))) assuming g is positive.\nAnswer: g**(337\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v + 9. Let d be r(7). Let t = 9 + d. Sort 5, t, -1 in decreasing order.\nAnswer: 5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -109 + (34 - 20) + -1.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from nlvl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmpamvam. Give prob of picking 1 a and 1 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1612648*c**5 + 7521783*c wrt c.\nAnswer: -32252960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64.81 + 19.19. Let l = -0.42 - -0.62. What is the fourth smallest value in l, 0.4, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n. Let a(j) = -4*j + 5*j + 4*j. Let f = 115 + -121. Give f*p(l) + 11*a(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (55 + -49)\/(0 + 1\/5331). Is (9\/(-6))\/((-27)\/x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -175*w**4 - 6145*w**3 - 28470*w**2 + 352420*w + 374920 = 0. Calculate w.\nAnswer: -26, -14, -1, 206\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-70) - ((-2796)\/(-84) + -32).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.99*16133565\nAnswer: 15972229.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/198390 and -123\/20.\nAnswer: 396780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14650.7202 - 14649. What is n rounded to 2 dps?\nAnswer: 1.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3\/4*b**3 - 15\/2 + 9\/2*b**2 - 9\/4*b = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + r - 1. Let k(b) = -14*b**2 + 5*b - 5. Let s(x) = 2*k(x) - 10*z(x). Let h(i) = i. Determine h(s(a)).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(-161)*287 + (-10 - (-5 - -2) - -11)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69064521 and 27.\nAnswer: 621580689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 1:30 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 3*l**3 + 5 - 2 to the form h*l**2 + n*l**3 + x*l + v and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 + 950*u - 2 - 947*u)*(5*u - u - 2*u)*(-5 + 2 + 1)*(-2*u + 3*u - 3*u)*(2*u - 6*u - 8*u).\nAnswer: -288*u**4 - 4800*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/15 - 8476*t\/15 = 0. Calculate t.\nAnswer: 0, 4238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-545)\/(-3815))\/((-2)\/14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 13. Give x(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 31 = -3*r, -r - 29 = -3*r - 5*l. Suppose 0*t - t + 3 = 0. Let y(m) = -m - r - 3 + t - m. Let q(b) = -3*b - 3. What is 4*q(v) - 5*y(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 70790 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-12 - 3) + -17 + 20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2580 and 10140?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1791291 to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 - 57. Let a be (24\/l)\/((-30)\/75). What is the derivative of -2*j + 3*j - 3*j - 7 - a wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1492030 is divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 27.7. Let v = g + -2. Let u = 4.29936 - v. What is u rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - a + 0*a)*(765 + 1410 + 2155 + 845)*(-3*a + 3*a + a) as n + f*a**2 + t*a and give f.\nAnswer: 10350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47887, 191628, 431191, 766576, 1197783?\nAnswer: 1724812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 708351, 1416773, 2125215, 2833677, 3542159, 4250661, 4959183?\n\"Answer: 10*q**2 + 708392*q - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 60699, 60716, 60737, 60762, 60791, 60824, 60861?\n\"Answer: 2*v**2 + 11*v + 60686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + d**3 - d**3)*(52 + 132 - 91).\nAnswer: -93*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 226795444 >= 226795446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/308 and 61\/112.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 188*k + 2247. Determine l(-16).\nAnswer: -761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -17. What is the third derivative of -22*x**2 - x**5 + 5*x**4 - 3*x**2 - 5*x**4 + 1 + 31*x**q wrt x?\nAnswer: -60*x**2 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -0*g + 7. Which is smaller: g or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -415.1 and -5.\nAnswer: -420.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 134*b + 1680. Let a be c(14). Solve 6*s - 10*s + 5*k - 21 = 0, a = 3*s - 5*k + 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3228583 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21112 by 91.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -5. Let x = b + 5. Suppose x = -2*u + 7*u - 20. Let k(v) = v**3 - 4*v**2 + 2*v - 5. Give k(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -456021*z**2 + 283978?\nAnswer: -912042*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/5 + (12 - 0). Let i be 10\/(-4)*12\/u. Is 39 - (2\/i + -2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70004 (base 16) to base 6\nAnswer: 13455512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 16) to base 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1396, -1563, -1728, -1891?\n\"Answer: x**2 - 170*x - 1227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-3) - (-3 - -3). Solve -3*g + 12 = -3*r, -3*g - y = 5*r + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466 - 902 + 11*x + 436.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.4 + 15.5. Which is the closest to 1? (a) n (b) -6 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 18*a - 173. Let g(q) = -16*q + 174. Let u(x) = 5*g(x) + 4*k(x). List the prime factors of u(0).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3 - 17 = -k, 4*y = 2*k - 16. Suppose -3*u = u + k, -8 = d + 2*u. Let a be (-2)\/(-6)*(0 - 1). What is the nearest to a in d, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6 + 6 = 0. Suppose 36 = -x*q + 3*q. What is the smallest common multiple of 20 and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-5))\/(108\/(-9) + 4 + 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -13. Let w = -12 + t. Let f = 55\/6 + -19\/2. Which is the closest to f? (a) w (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 - 3) + -2*(-1)\/(-2). Solve 2 = -3*m - 2*j + 23, 0 = -4*m + y*j + 11 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 333499985*r**4 + 246139527*r**2 wrt r.\nAnswer: 8003999640*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 49907 (base 10) to base 2\nAnswer: 1100001011110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {e: 7, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2440 and 13\/630.\nAnswer: 153720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 18 - 22 = 0. Suppose 0*s = -2*s - 2. Let k(c) = -3*c**3 + 1. Let i be k(-1). Put s, l, i in increasing order.\nAnswer: s, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1699.8569 - 1701.5. Let q = j - -1.65. Round q to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 6:23 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71190568*u**3 + 4*u + 6078993.\nAnswer: 427143408*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -317 and -0.11?\nAnswer: 34.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3 + 18*w**2 - 48*w + 32 = 0. Calculate w.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747 a factor of 254601093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -101001101001101 (base 2) to base 8\nAnswer: -51515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65 or -2\/5?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8\/5 - -34\/15. Let t(b) be the first derivative of 2 + 0*b - b**2 - r*b**3. Determine v so that t(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34575 (base 11) in base 2?\nAnswer: 1100001100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 381943174 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/220 and 95\/10208?\nAnswer: 51040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 7:56 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(h - 5*h + 2*h)*(0 - 1 + 3)*(-5 + 3 - 4) + (2*h - 7*h + 7*h)*(3 + 2 - 4).\nAnswer: -46*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 6b333?\nAnswer: -6b336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/17 - 1229377748*k\/17 + 188921205909693938\/17 = 0. What is k?\nAnswer: 307344437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1838 times -1?\nAnswer: 1838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55471?\nAnswer: 13, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 94?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15245 + -7780. What are the prime factors of b?\nAnswer: 5, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 4:35 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-24) + 1\/(-6). Suppose k = b + 4*b. Is 4 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, t: 3}. Give prob of sequence tgtt.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14, -0.0252, -0.1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 214593000 to the nearest one million.\nAnswer: 215000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 892658292 a multiple of 2490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -238 or -59038?\nAnswer: -59038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 208 (c) 10 (d) 19\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 6:22 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(22)\/sqrt(2)))\/(sqrt(8)\/(2*sqrt(4))) + (((1*sqrt(64) - sqrt(64))\/sqrt(8) - sqrt(8)) + sqrt(128) + -1)**2.\nAnswer: -10*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**3\/2 - 2*z. Let k(l) = 5*l + 11. Let f(a) = -a - 2. Let c = -12 - -34. Let p(q) = c*f(q) + 4*k(q). Give r(p(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/18)*v**(1\/12)*v*(v*v**1)\/v*v**(-11))**(1\/54) assuming v is positive.\nAnswer: v**(-283\/1944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175\/75*(-12)\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2287380, -2287377, -2287374?\n\"Answer: 3*a - 2287383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/4 of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 15 = 3*v. Suppose -10 = -5*k + f, 0 = 4*k + 3*f - 5 + 16. Suppose -2*a + 7 - k = 0. Solve -a = v*m + 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 3. Let s be u(4). Let i = 2 + s. Let f = i + 64. What is f rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*k = -41, 3*r - 7*k - 6 = -2*k. What is the second derivative of -2*f**3 + 3*f**3 - f - r*f - 4*f**3 wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0.3888269054.\nAnswer: -0.6111730946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3837086907 to the nearest 100000.\nAnswer: 3837100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6104546853.\nAnswer: 3, 109, 18668339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8023*4\nAnswer: -32092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -769*a**3 + a**2 + 9.\nAnswer: -4614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12878 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1721 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: What is 1031.03567 rounded to one dp?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1717 + -1096. What is the greatest common factor of y and 4761?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 5\/24*y**6 + 0*y**3 - 25\/168*y**8 + 0 - 8*y**2 - y**5 - 5\/6*y**4 + 0*y + 1\/2*y**7. Suppose j(c) = 0. Calculate c.\nAnswer: -1\/2, -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21835416 by 4.\nAnswer: -5458854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -5*u**5\/12 - u**2 + 26*u. Let w(l) = 2*l. Determine b(w(m)).\nAnswer: -100*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**4 - 30*j**3 + 43*j**2 + 7*j**3 + 12*j**2 + 11*j**3 + 10*j**3 to c*j**4 + h + v*j**2 + p*j + q*j**3 and give v.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16939297 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2328*r + 245*r - 413*r)*(-4 + 10 - 1) to the form f*r + p and give f.\nAnswer: -12480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -10, -5*h + 85 = -0*p + 5*p. Let n be ((-18)\/9)\/(-1 - h). Which is the third smallest value? (a) 2 (b) 3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.5 (b) 10 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50458056 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351*k - 93*k + 99*k.\nAnswer: -345*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.15424 hours in seconds?\nAnswer: 230955.264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n + 6*n - 19*n + 5*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5913 - 4955 - 3*m**2 + 10868.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z - 4 = x, -2*z - 4 = 0. Let h be 37\/x + (-2)\/(-4). What is the smallest common multiple of 3\/(((-3)\/h)\/1) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69122056 by -34561028.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 2282 + 1125 + 1157.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*h**2*k*n + h**2*n + 14639*h**2 - 12*h*k*n + h*k - 74*n wrt n.\nAnswer: 21*h**2*k + h**2 - 12*h*k - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -1. Let c be (-5)\/((-5)\/3) + h. Suppose -13*l + 111*l = 392. Solve l*a - 3 - c = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - -4. Calculate the remainder when ((-8)\/2 - (0 - 10))\/(18\/174) is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*l - 2026 = 0, -s - 27*l = -28*l - 509. Calculate the least common multiple of 288 and s.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 (base 14) in base 7?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 20 - 2)*(5 + 1 + u**2 + u**2).\nAnswer: -36*u**2 - 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbzobbbzpzbzozbzzpb. What is prob of sequence zzbo?\nAnswer: 49\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1431 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -1 + sqrt(153))*3)**2.\nAnswer: -54*sqrt(17) + 1386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1022 and 1314?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139208?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 5*s. Let u be d(7). Suppose 60*k + 105 = 65*k. What is the greatest common divisor of k and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1229649 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 14*r + 5. Let m = -3 + 9. Let y be s(m). Let o = -86 + y. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-12) + 4\/(-24))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92977)\/113449 + 6\/57?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 46780*o + 8 = 46782*o, -2*o = 5*p + 76 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21410 is divided by 10694.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 918?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 8*f - 1. Let r be z(-7). Suppose -2*g + 60 = r. Let p = 9 - g. What is p rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o - 40*o = -255. Suppose 3*q = -5*h + q + 65, 4*q = 2*h - 26. Calculate the remainder when o is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 + -29. Let k(s) = 108*s - 12. Let c be k(4). Let a = c - 204. What is the greatest common divisor of a and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 7 (c) 9 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 10. Calculate b(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(1*-8))\/(25 + 8393\/(-336))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 354\nAnswer: -5\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 4*o**2 + 6*o - 3. Suppose 24 = -0*p + 3*p. Let u = p + -3. Let q be r(u). Solve -s - 8 = d, 3 = -q*d - d + 4*s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195297?\nAnswer: 107, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2596 + 6026. Does 35 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 225146, 225145, 225144, 225143, 225142, 225141?\n\"Answer: -j + 225147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10.69, -0.5, 3\/2?\nAnswer: 10.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 44\/(-48) - 2\/24. Is k >= -12\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48471909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -5\/892, 0.2?\nAnswer: -5\/892","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7474019 millilitres?\nAnswer: 0.0007474019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 30000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0)*(84\/40)\/(-21). Is p less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*c - 3*i - 13, 0 = -c + 5*i + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*j - 5*n + 6*n, -5*n = -j - 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7899157.\nAnswer: 7, 1128451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(108) + (sqrt(48) - sqrt(3)) + 2 - (sqrt(363) + (sqrt(363) + (sqrt(363) - (sqrt(363) - (1 + sqrt(363))*-6)) - sqrt(363))).\nAnswer: 7 + 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 - 15*o + 5. Let m = -26 - -18. Let f be l(m). Sort 3, 5\/6, -5, f.\nAnswer: -5, f, 5\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*j = 7, k + 6*j = j + 8. Suppose -k*f = 2*f - 25. Let p(s) be the third derivative of s**6\/120 - s**5\/12 - s**3\/2 - 3*s**2. Determine p(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*r - 788 = 3101, 0 = -5*u + 4*r + 3897. What is the remainder when u is divided by 152?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 650 and 13434902.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*b + 37 = 0, 2*c + 2*b - 80 = -0. Suppose 3*y = -c + 206. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/5 - 100262*x**2\/5 + 27408896*x - 9242132760.\nAnswer: -2*(x - 670)**2*(x + 51471)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -419*j*w**2 - 5631*j*w + 5395*j + w**2 + 1979 wrt w.\nAnswer: -838*j*w - 5631*j + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 4, -13, -36, -65?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1981361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21707.\nAnswer: 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132192 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693*v**3 - 5601*v**2 - 13212*v - 780 = 0.\nAnswer: -13\/7, -2\/33, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {s: 2, l: 3, g: 13}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-21)*(-12)\/20. Suppose 2*p + 5*l = -16, -4 = 2*p + 2*l - 0*l. Let -c*j**p - 4\/5 + 6\/5*j = 0. What is j?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 905*y**5 - 34*y**4 - 28407*y wrt y?\nAnswer: 18100*y**3 - 408*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 9*t + 8.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 17, 10, 1, -10, -23?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/2 or 53414\/91?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2.9, 0.5, -2 in decreasing order.\nAnswer: 10, 2.9, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h. Let o(y) be the first derivative of y**4\/12 + 55*y + 2. Let t(r) be the first derivative of o(r). Give s(t(l)).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2\/s)\/s**2)\/(s\/s**4)**(-13\/6) assuming s is positive.\nAnswer: s**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llx when three letters picked without replacement from xxlllxx?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.02618586 and 17385?\nAnswer: 17385.02618586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 373 + -388. Sort u, 5, 7, -0.1.\nAnswer: u, -0.1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 18, -2, 1\/9, -3, 70, 3\/34?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 1\/58 (b) 2\/5 (c) 3 (d) 119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h + 17. Let q be m(-4). Let l = 154\/731 + -4\/43. Suppose -1 + 5 = -2*x. What is the smallest value in x, 4, l, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 25 = 0, -3*v + 2*p = -5*v + 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 7 = 4*k + 3, 2*k = 5*b + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**4 + 69*r**3 + 129*r**2 + 63*r = 0. What is r?\nAnswer: -21, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.07 (b) 0 (c) -38 (d) 1\/3 (e) 1018 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2406)\/(-48) + (-2)\/16. Let i = 34 - a. Let j = 31 + i. Calculate the highest common factor of j and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 62a43?\nAnswer: -62a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*h - 13*h - 10*h - 8*h + 31*h**3 + (7 + 43 - 8)*(-4*h**3 + h**3 - 2*h**3) as u + c*h + b*h**2 + y*h**3 and give y.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - t)*(28*t**3 - 3*t**4 - 28*t**3) + (2*t**4 - 1 + 1)*(-t + 0*t - t) - 21*t + 21*t - 9*t**5.\nAnswer: -10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*g = -195, -3*g + 129 = -4*y + 364. Let m = -111 + y. Let t = -37 - m. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 285748 and 1428740?\nAnswer: 1428740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zza when three letters picked without replacement from aazzzaaazz.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 14314*i**2 - 12*i + 1. Is o(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -4. Let a be 1 + 22 + (-7 - -5). What is the greatest common divisor of h and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13396 is divided by 473?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-47)\/(-1457)) - -8?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 8. Let q be u(7). Let d be q\/3 + (-88)\/(-6). Suppose -4*g = g - d. Solve -5*m + 20 = 5*i, -2*i - g*m + 7*m = -2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 14155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -13*g**3 - 2*g**2 - 5*g - 3. Let l be n(-1). Solve -k = 4*r - l - 2, -4*r - 3*k = -21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54581568 - -3.\nAnswer: 54581571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6965 - -0.7465. Let i = 0.04 + -0.04. What is the closest to 0.1 in 3, i, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 72 + 60 = 0. Let v be 12 + (-24)\/(0 - j). Solve -u = -f, 8*f - v = u + 3*f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/(t*t**(-1\/18)\/t))**(-1\/49) assuming t is positive.\nAnswer: t**(-55\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*x + 38 = -55, -5*x = -3*v + 78. Let q(n) = 17*n + 9*n + v*n - 19*n. Let b(a) = a**2. Determine b(q(s)).\nAnswer: 784*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 4\/105*z**6 - 1\/21*z**4 + 13*z + 2\/35*z**5 + 1\/147*z**7 + 0 - 2\/7*z**2 - 5\/21*z**3. Factor x(k).\nAnswer: 2*(k - 1)*(k + 1)**3*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thtt when four letters picked without replacement from attththth.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 12:30 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 1. Let u be m(-1). Suppose 2*d = -u*d + 128. Suppose -t + 0*t - 25 = -k, 5*t - d = -4*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-8)*12\/9. Suppose 3*v = 3*f - p*v + 1, 4*v - 11 = -f. Solve 0 = -f*c + 4*c + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, t: 4, c: 1, a: 7, h: 2, s: 2}. What is prob of picking 1 s and 2 t?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 5. Let d(b) = b**3 + 6*b**2 + 6*b + 2. Calculate the least common multiple of u(-7) and d(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-20))\/(7\/((-35)\/(-3))*260\/39).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h**3 + 735 - 735 + 3*h**3.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1153 + 1167. Which is bigger: i or -1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/199 or 0?\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (8 + -1)) + 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*w - 149*w = 435*w - 10660 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u + 4*u - 5*u + 6 + 2*u + 3 - 3 + (-3 + 0 + 2)*(3*u - 6*u + u) + 0*u + u - 2*u in the form w + j*u and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14101 + -14100.59545. Let t = -30.61645 - z. Let h = 31 + t. Round h to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5704?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 458555 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 135932614 divided by -158?\nAnswer: -860333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 - 93. Let r = 1316\/3 + -465. Is r not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 12*q**2 - 28*q - 3. Determine c(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1020319\nAnswer: -5\/1020319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 4*f + 17200000. What is f rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 18*f**2. Let t(x) be the first derivative of x**3\/3 + 3*x**2 + 63. Let z(q) = 15*q**2 + 85*q. Let c(l) = -85*t(l) + 6*z(l). Determine s(c(n)).\nAnswer: 450*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5877564ml?\nAnswer: 0.0005877564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3617*o - 116681 - 136138 = -97288 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(1\/1)\/((16\/(-4))\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.10538 and -0.37.\nAnswer: -0.0389906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -12*p**2. Let w(g) = -g**2 - 17*g - 17. Let a(l) = -2*l - 2. Let c(y) = 51*a(y) - 6*w(y). Determine c(d(k)).\nAnswer: 864*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 14. What is the first derivative of -c + 10*p + 28*p + 0*p wrt p?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 1. Let w be t(-5). Suppose w*a = 6*v - 3*v + 11, a - 5*v = 7. Suppose 4*s - 26 = a*s. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 8*k + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171488 by 32.\nAnswer: -5359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -49506 (base 12) in base 11?\nAnswer: -68602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h. Let w(m) = -7*m - 62. Determine v(w(t)).\nAnswer: -14*t - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101111021 - 11?\nAnswer: 101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72.1 * 0.0283.\nAnswer: 2.04043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50926 + 201675 = 41*t. List the prime factors of t.\nAnswer: 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -1\/51632?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -348768 divided by 6.\nAnswer: -58128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 4*k = -32, 3*k + 5 = -4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3240.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-231780)\/(-105) - (-15)\/(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8934303, 8934268, 8934233, 8934198, 8934163, 8934128?\nAnswer: 8934093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393 a factor of 20934088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*w - 631 = 18*w + 14160 - 1267 for w.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -476, -553, 100 in decreasing order.\nAnswer: 100, -476, -553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*m - 0*m - 88, -a - 3*m = -36. Let z be (-6)\/(-24) + 194\/a. Is 8 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -1.7, -4\/5, 5.1?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 3)*(-8 - 23 + 47 - 18*r**2) + 2*r**2 - 2*r + 2*r in the form w*r**2 + u*r + s and give s.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4))**(-3\/28)\/(g**(-11\/2)*g**19) assuming g is positive.\nAnswer: g**(-183\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from ssssssssvsssv.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -0.38 (c) -2 (d) 2\/17 (e) -5\/2 (f) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42909?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.2, -0.02, -0.824 in ascending order.\nAnswer: -1, -0.824, -0.02, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v - 44 = 0. What is the highest common factor of 88 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2183708938 + -239?\nAnswer: -2183709177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1388838 by 1913.\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-5*1*sqrt(78) + (sqrt(78) - -4*sqrt(78)*-1 - sqrt(78)))\/(-4*(sqrt(864)*-1 - sqrt(864)) + sqrt(864)))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 309560622 to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (7 - (2 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 6*b + 701. Is z(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37024109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkkk when four letters picked without replacement from {c: 2, o: 4, k: 3, f: 4, z: 3, l: 2}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 189 + 201. Suppose -119 = a + 61. List the prime factors of (-4)\/p*a\/(-8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8515 - 3843. Is d a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5002 and 0.06?\nAnswer: 0.5602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*x + 9210, 3*x + x + 7368 = 4*a. Suppose 5*t + t = a. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-1))\/3 + -1. Let s(o) = 4*o - o + k*o + 2. Let p be (-2)\/((-3)\/((-9)\/2)). Calculate s(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2421 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*p - 1209937 = -1242422 for p.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 514.03 - 514. Sort f, 5\/4, 3 in decreasing order.\nAnswer: 3, 5\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/9 + 754\/9. Find the common denominator of 53\/9 and (-628)\/r + (-1)\/((-1)\/4).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 2\/3, -4, -13, 3, 2\/21 in increasing order.\nAnswer: -13, -4, 2\/21, 2\/3, 6\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143\/71 + 4525\/3692. Let u be 5 + -8 - (-31245)\/(-18). Let i = u + 1747. Find the common denominator of j and i.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1693993681?\nAnswer: 37, 3347, 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 218 and 3161?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 0.5 (c) -0.7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -2, 4, -18, -74, -170, -312?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 p when three letters picked without replacement from {p: 5, t: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - -25. Calculate the remainder when i is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139123631?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1101*v = -1102*v + 6152000. What is v rounded to the nearest 100000?\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 9*r + 2. Suppose -4*n - 11 - 25 = 0. Let q be c(n). Suppose -2*d = -10, 3*j + 2*d = -2*j + 30. Put 3, q, j in decreasing order.\nAnswer: j, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*k = -224, -z - 2*z - 303 = -5*k. Let d = -75 - z. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(-37\/3)*(n**(1\/4))**(-46))\/(n**(1\/2)*n**9)**(-6\/17) assuming n is positive.\nAnswer: n**(-2089\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + 2 + sqrt(3) + -1 + (-1 + sqrt(300) + -2)**2.\nAnswer: -54*sqrt(3) + 310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wihi when four letters picked without replacement from {i: 2, w: 3, h: 13}.\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 + 97111*n**3 - 7*n**2 - 97099*n**3 + 3*n**2.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 5:00 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 40 = -20. Suppose 0 = -h*x + 1961 + 1219. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383704 is divided by 305?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -479, -481, -483, -485, -487, -489?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31963 + 3*a**2 - 31963.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 453 + -454 + (-2 - (4 + -1 - -104))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -675665500 rounded to the nearest 100000?\nAnswer: -675700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -17.8 and -23608109.\nAnswer: -23608126.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 910 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 3, -4 in decreasing order.\nAnswer: 3, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 142112004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 290 and 290?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 61\/6 + 56\/(-48). Calculate the highest common divisor of u and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**3 - 28022280*u**2 + 56044548*u - 28022272 = 0. What is u?\nAnswer: 1, 7005568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 182036.5 centimeters?\nAnswer: 1820.365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**3 - 187*p - 1. Let a(q) be the first derivative of -3*q**2\/2 + 3. Determine z(a(h)).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -111011111?\nAnswer: 111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + -31. Suppose -4*k - 6 = -2*s + b, 5*k = s - 37. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -578, 8883, 4 in descending order.\nAnswer: 8883, 5, 4, -4, -578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7617 - 7621. Let g(j) = -2*j**2 - 3*j + 6. Let f(h) = -h**2 - 2*h + 3. Calculate c*g(n) + 7*f(n).\nAnswer: n**2 - 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is e3a8 (base 15) in base 10?\nAnswer: 48083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/15 + 26*y\/15 - 44\/15.\nAnswer: -2*(y - 11)*(y - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1890 by 210.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 8) to base 4.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -96*t + 76. Let v be k(-13). Let y = v - 177. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2 = -8. Differentiate -z - 2 + z - o*z**2 + 5 wrt z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -701381?\nAnswer: 701379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -5 + (3 - -6). Suppose 2*p = -2*x + 14, -q*x = -p - x + 1. Solve -2*l + p + 2 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = j + 4*q, 0 = -j - 2*q + 59 + 69. Suppose 6*a - j = a. Suppose -2*c + 0*c = -a. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 3. Let r be q(9). Let h be 141\/r + (-6)\/8. Suppose -5*j = -36 + h. Solve -j*c = 15 - 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22948 - -22948. Let b(h) = 5*h**2 - h - 27. Calculate b(z).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94884716.\nAnswer: 2, 223, 106373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -2415354.\nAnswer: 2415353.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -6 - (15 - 5) - (-1 - 31)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - -104. Let b = -133.00000864 + r. What is b rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3743 = d, 5*d + 0*c = 3*c + 18691. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 34 = 4*u, 3*u + 5 = -5*g + 41 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 7308.\nAnswer: 7308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 12*d + 8*d + 108, -4*b - 4*d + 84 = 0. Suppose 5*r = s - 16, -4*r + 7*r = 3*s - b. What is the greatest common divisor of s and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**6\/200 + 7*k**5\/150 - 23*k**4\/120 + k**3\/5 - 24*k**2. Factor h(p).\nAnswer: (p - 1)*(p + 6)*(3*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*n**2 + 36*n - 553?\nAnswer: 6*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28648214239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.824 from 108301.7.\nAnswer: 108299.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 66 = 38. Let x(r) be the third derivative of r**6\/120 - r**5\/60 + 2*r**3 + 8*r**2. What is the lowest common multiple of t and x(0)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22821 is divided by 5522?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4f - 427?\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*-2)**2 + (2*sqrt(132))\/sqrt(12) - ((1*sqrt(121) - sqrt(121))*-2)\/sqrt(11).\nAnswer: 2*sqrt(11) + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 43 = 2*t, -t = -4*f - 2*t + 37. Suppose -4*y = -f*y + 10. Differentiate 4*r**2 + 1 - 3 + 2*r**2 - 4*r**y with respect to r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -851*d = -2483*d + 779*d + 760*d - 6603 for d.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, x: 2}. Give prob of picking 2 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 10 = -j. Let s(r) = -r**2 - r + 1. Let w(d) = 10*d**2 + 12*d - 12. What is j*w(a) - 12*s(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 170\/((-578)\/17)*7\/(-140)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r + 7. Let w be g(-2). Let o be (-2)\/(3 - 5) - w. Suppose 0 = 5*z - 3*a - 103, 5*a - 55 = -o*z + 20. What is the least common multiple of 6 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 - 19. Let c = b - 26.99999885. Round c to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/(3\/(-27)). Solve k = -5*v + 15, -3*k = -k - 2*v + h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -15, -5, 2, 1237 in descending order.\nAnswer: 1237, 2, 0, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3863 rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**4\/4 - 3*s**2 - 3*s. Find the first derivative of h(v) wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -105, -164, -223?\n\"Answer: -59*h - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001101000000011100 (base 2) in base 14?\nAnswer: -277124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 - 194*x**2\/3 - 44*x.\nAnswer: 2*x*(x - 33)*(3*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**5\/60 - 11*r**4\/24 + 5*r**3\/6 + 25*r**2. Is 2 a factor of a(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 - 9*z + 53. Let x(t) = t**2 - 2*t + 13. Give -2*p(w) + 9*x(w).\nAnswer: -w**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0218572 rounded to 4 decimal places?\nAnswer: 0.0219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/2 and 77\/156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 718*y - 1035*y + 88 = -863 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 - -104. Solve 17 + 0 = k*a + 4*u, 26 = 4*a - 3*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 510 and 850?\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83484321 by 2256333.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5.086 times 0.157\nAnswer: 0.798502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -0.5 (b) -5\/18 (c) -0.3 (d) -9\/5 (e) 1\/385\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-4)*6)\/(6\/(-8)). Let h be 4\/(-10) - 12\/l. Suppose -2*b = m - 6, -3*m + 2*b + b - 9 = h. Put 3, 1, m in ascending order.\nAnswer: m, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*l - 1, 16 = 45*l - 50*l + 3*f. Let h(w) = 3*w - 7. Determine h(l).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 0*a**6 + 0*a**3 + 0*a + 0 - 1\/30*a**7 - 23\/60*a**5 + 0*a**4 + 27*a**2. Find the third derivative of r(j) wrt j.\nAnswer: -168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 g, and 1 b when four letters picked without replacement from llfflvlglfllvfbgbel.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(0 + -1 - -2). Suppose 5*x - 34 = -2*w, -3*w + 5 + d = x. Solve -z - 2*z = x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -26*b - 4. Let y be (-4)\/(-2 + 10)*2\/1. Let t be x(y). Suppose -o = -24 + t. Solve a - o*h = -0*a, -5*h = -5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -294, -307, -328, -357, -394, -439?\n\"Answer: -4*f**2 - f - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9049108403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -2, 17 in descending order.\nAnswer: 17, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120761 divided by 9?\nAnswer: 124529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 12:44 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + m - 27*m - 2*m**2.\nAnswer: -2*m**2 - 23*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -860.1 - -118.2. What is g rounded to the nearest ten?\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -1)*1 + 1. Let i = t - 8. Let j(p) = -3*p - 6. List the prime factors of j(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173440559 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 i, and 2 z when four letters picked without replacement from pppzpzzpi.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12852275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1558 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 8:20 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3\/3 - 45280*o**2\/3 - 103055120*o\/3 - 815770240.\nAnswer: -5*(o + 24)*(o + 4516)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/(-5) - 2) + (-1)\/(-1). Suppose 3*s = -g - 1, 2*s - u = -g - 1. Solve -4*r + g*r = -8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 25*k + 20*k = 2536, -k + 1 = 0. What is the highest common divisor of z and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 18 = -10*n. Suppose -x = 4*m + 6 + 6, -2*x - 18 = 5*m. Let z = n + m. Solve z = -p + 3*f - 7, -3*p + 0*p - f + 9 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-22 + 9 - -26) + -9.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(1440))\/(sqrt(45) - (sqrt(135)\/sqrt(48) - sqrt(45))).\nAnswer: -80*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u - 32*u - 75 = 0. What is the derivative of x**4 + u + 7*x**2 + 3*x**2 + 24*x**2 - 11*x**2 wrt x?\nAnswer: 4*x**3 + 46*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444962 is divided by 488?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29b1 (base 14) to base 3.\nAnswer: -101011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d + 127. Let z be m(-18). Let r = -9 - -9.22. Let p = 0.12 - r. Which is the nearest to p? (a) -1 (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.766 - 11.766. What is the closest to 0.2 in 0.3, -12, w, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b**2 + 2*b**2 - 7*b**2)*(24 - 37 - 48 - 3) to l*b**2 + z*b + g and give l.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 1840*a**3 - 4*a + 133*a**2 - 135*a**2 - 1849*a**3 to c*a**2 + t + g*a + n*a**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**4\/24 - 972*r**2. Let w(s) be the third derivative of -s**4\/3 - s**2. Calculate j(w(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + 0*s + 0*s)*((-3 + 3 + s)*(-4 + 3 + 2) + s - 2*s - s).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 369559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227667 = -69*v - 226977 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255, -257, -259, -261, -263?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 3 + -3 - 0) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 20 = f, f - 2*k + 4 = 14. Suppose f*x - 15*x + 20 = 0. Suppose -x*h + 16*h = 1480000. What is h rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.066, -2.5, -0.3?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(1*-24))\/(13\/(-195)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1652 divided by -4?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-8)))\/t**7*t**(-10)*t**(-3\/7) assuming t is positive.\nAnswer: t**(-178\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 5, d: 8, x: 2}. Give prob of sequence dzh.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2934360 divided by 418.\nAnswer: 7020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b**3 - 4*b**4 + 8*b**2 - 89 + 2*b**4 + 9*b**3 + 0*b**3 - 3*b**3 as m*b**3 + h*b**4 + d*b + c*b**2 + y and give y.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*s + 41313 = -10277. Is 41 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a671 (base 11) in base 12?\nAnswer: 7050b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2013 + 2014. Solve f + 23 = 5*c, 3*f - 4*c - t = -15 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 41 = -9*v. Let f = -42 + 66. Suppose j - v - f = 0. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2134 + 1396 + 456 - 3*u**2.\nAnswer: -3*u**2 + 3986","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*p - 11. Let c = 5 - p. Let k(h) = 4 - h**3 - 3 - 3*h - 6*h**2 + c + 0. What is k(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 943?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzf when three letters picked without replacement from efeeezmm?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31895621*j**2 - 36825889*j.\nAnswer: -63791242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7072 - -0.3072. Sort v, -3\/7, -722, 1 in decreasing order.\nAnswer: 1, v, -3\/7, -722","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 400757, 801542, 1202327, 1603112, 2003897, 2404682?\n\"Answer: 400785*b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 1. Let o be p(1). Suppose -7 = -o*x + 2. Let l(z) = -z + 11. Let k be l(10). Solve t - r - x = k, -t + 5*r = -8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -773*g**5 - 4165*g**4 - 7039555*g.\nAnswer: -15460*g**3 - 49980*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.17789 + 0.02211. What is the fourth biggest value in -9, -58, -1, m?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 + (12 + (10 - 6 - -18) - 12).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edejeebieedaajeed. Give prob of picking 2 d and 1 b.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 + 17511 + 17971 - 35482.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 268 + -265. Suppose -w*t - 7 = -16. Suppose 2*u + 2*q - 24 = 0, -2*q + 19 - 3 = u. Solve 2*k + r + u = 0, 4*k + 14 + 2 = -t*r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 1 - (-1 + -2). Suppose q*v - 45 = -2*v. Let f(c) = 2*c**2 + 4*c + 13. Calculate the remainder when f(-5) is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*u + 1 - 11, 4*n = -2*u - 8. Suppose -s + u = -2. Let t(a) = -a + 6. Let d be t(6). Solve -2*q - s*q + 16 = d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agagggvgrgggavggggg. Give prob of picking 2 g.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/40*(-3290)\/(-141).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m**2 + 7*m + 7. Let w(f) = -5*f**2 - 4*f - 4. Let t(n) = 8*n**2 + 7*n + 7. Let s(b) = -6*t(b) - 10*w(b). Calculate -21*s(g) - 6*y(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -53\/3885 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 2368.\nAnswer: 2368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 4, -1, -2, 62, 46 in decreasing order.\nAnswer: 62, 46, 4, -1, -2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -59067+-0.041121154\nAnswer: -59067.041121154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l. Let j(g) be the third derivative of 2*g**5\/15 + 57*g**2. What is u(j(t))?\nAnswer: 40*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 + -79 - 59 - 67?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26694.\nAnswer: 2, 3, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12047409.\nAnswer: 3, 11, 73, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.31 + 6.31. Let k = -1.5 + 1.5. Let f = 3.6 + -1.6. Which is the third smallest value? (a) f (b) k (c) g (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 23\/8 of a microgram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1153 + 0.59.\nAnswer: 1153.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*n + 4*n**4 + 7*n - 2 - 3*n**4 + n**3 - 3*n**2 + 4*n**4 - 2*n**4 to d*n**2 + l + a*n**3 + o*n + f*n**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**3 + 3*a. Let k = 3 - -3. Let i be -1 - 3 - (9 - 16). Let d(y) = -i + k*y + 3 + 6*y**3 - y. What is 3*d(z) - 5*l(z)?\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2 - 5*y - 58. Let c be r(11). Suppose 608 + c = 10*j. Calculate the highest common divisor of 275 and j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22982568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 10*v**2 + 3. Let g be c(10). Suppose -5*o = -2*q - 0*o + 20, 2*o + 19 = g*q. Let n be (-21)\/(-6)*(q - 3). Solve -n*l + 2*l = 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o = -3*m + 961, -3*m + 3*o + 945 = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1624 and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3327967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*j = -209*j - 4*x + 62920, 4*j = -x + 62932. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q + 2*m = 24, m = 0. Suppose 5*l - 2*d + q = 0, 6 = 4*l - 8*l + 2*d. Let u(w) = -2*w - 8. Let j be u(-6). Solve v + j*v = l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*m + 9 = -45, d - 12 = -4*m. Suppose 0 = -8*t + d - 4. What is the units digit of 1 + (t - -98)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473617 (base 10) in base 13?\nAnswer: 3c7982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 109413 divided by 33?\nAnswer: 36471\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7954530.22999991 + 7954530. Let n = -0.23 - y. Round n to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + k + 8 = 0. Let r be 4\/18 - (-34)\/9. Suppose k*l - 40 = -2*h, 0*h = -r*l - 3*h + 80. Calculate the remainder when l is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 5*k - 14 = -0*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -491 by 2233.\nAnswer: -491\/2233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.1*-63.\nAnswer: -573.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1395 - -508. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162975*0.1.\nAnswer: 16297.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1412 and 27819224.\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -726676334752.3 - 1.7\nAnswer: -726676334754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -174\/13762853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0051812 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11714390258 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**2. Let c(d) = 36*d + 138. Let o(h) = 73*h + 230. Let f(y) = -5*c(y) + 3*o(y). Give n(f(v)).\nAnswer: 10647*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*a + 60 + 15 = 0, 2*a - 29 = p. Let d be (-2)\/p + (-8016)\/(-504). Solve -m + 20 = 4*m, -m = 4*b + d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 63849456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/15)\/(16\/6858). Let x = 295\/2 + j. Calculate the common denominator of -23\/4 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 0*k + 4*k - 7*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(9)*2) - sqrt(2) - (5 + 0 + sqrt(2) + sqrt(2)))**2.\nAnswer: 25*sqrt(2) + 75\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8652431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1 = -8. Put x, -8, 5 in ascending order.\nAnswer: -8, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 3\/4, 1182, -1\/4, -1.9, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/122469 and 41\/5?\nAnswer: 612345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2 + 122242*f - 11132303 = 0.\nAnswer: -122333, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 11:34 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 <= -131\/40623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**2 + 2742955*v - 104225070 = 0 for v.\nAnswer: 38, 548553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 193, 2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008103568956 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 524*p - 32 = -527*p, -2*i + 3*p - 26 = 0. Factor 18\/5*f**i - 24\/5*f + 0*f**3 + 9\/5 - 3\/5*f**4.\nAnswer: -3*(f - 1)**3*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 2*t - 3. Let w be r(4). Let m = 194\/1665 - 1\/185. Sort -3\/7, w, m.\nAnswer: -3\/7, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 16*l + 7. What is i(15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**41)**34\/(c*c**(11\/3)*c*c**(6\/7))**(-4\/15) assuming c is positive.\nAnswer: c**(-438562\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 4464.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -354\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.346937 meters in millimeters?\nAnswer: 2346.937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -667*q + 6010. Determine u(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4615140 - 0.4.\nAnswer: -4615140.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -195*c**3*s**2*y - 35*c**3 + 3*c**2*s**2 wrt y.\nAnswer: -195*c**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k - 2. Let h(p) = -24*p + 9. Let t(q) = 4*h(q) + 18*o(q). Let j = -3 + -5. Let g(b) = b. Calculate j*g(r) + t(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 151*i**2 - 4*i + 5. Is m(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1356)\/(-1017))\/(2*(-2)\/9). Let n(x) = 5*x**2 + 4*x + 1. Let f(j) = 4*j**2 + 5*j. What is p*f(y) + 2*n(y)?\nAnswer: -2*y**2 - 7*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61407368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 4 (c) -1 (d) -2724 (e) -4\/17 (f) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -390, -223, -50, 129, 314?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -7*p - 6. Suppose 3*j = 2*j - 20. Let o be j\/(-50) + p\/5. Are o and 4\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2544 = 2*s, 52*t - 2*s = 49*t + 3820. Is t a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i - 17. Let o(c) = c + 6. Let h(g) = -2*g**2 + 33*g. Let a be h(17). Let v(d) = a*o(d) - 6*x(d). Let f(z) = 0*z - z - 2*z. Give f(v(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4085 + 7441 = 6*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d. Let n be k(-1). Let r be n*3\/(-3) + 1. Solve r = 4*y - 12 + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 7*w**2 + 3*w + 1. Let r be p(-9). Let n = r + -94. Let g = -5 + 11. Calculate the highest common divisor of g and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-4) + -2)*0. Suppose 2*i + 3*i - 5*a - 335 = f, 2*a - 4 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1347*n + 438. Let k(f) = 327*f - 110. Give 33*k(a) + 8*o(a).\nAnswer: 15*a - 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k - 2. Suppose 103 - 127 = 4*d. What is b(d)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q. Let f(r) = 20*r - 1. Let k(z) = 6*f(z) + 17*g(z). Let j be k(3). Which is the third biggest value? (a) 0.02 (b) -1\/6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 136589 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u + p - 40487 = -38*u, 4*u = -4*p + 32412. Is u a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 5*t - 36 = 0, 5*b + 2*t + 16 = t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*p + 41 + 37 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 9118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -1\/15*b**5 - 2\/3*b**3 + 3\/2*b**2 + 0 - 5*b - 1\/3*b**4. Let a(y) be the first derivative of m(y). Factor a(p).\nAnswer: -4*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23567 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1759*y + 24*y**2 + 51*y**2 + 541*y + 609*y + 609*y.\nAnswer: 75*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4764953 from -0.3.\nAnswer: -4764953.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 2400?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17495*q**2 - 4426230*q + 1265 = 0. Calculate q.\nAnswer: -253, 1\/3499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*t - t + 27, 36 = -4*t + 3*a. Let h be 1\/t*-3*6. Suppose -x = -4*q - q - 37, -h*x - 4*q + 32 = 0. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139474.\nAnswer: 2, 69737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.342211237 to five decimal places.\nAnswer: 0.34221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 u when three letters picked without replacement from {x: 17, u: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -434\nAnswer: -11\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 116405584 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/((-72)\/(-30))*-2. Suppose 740*k - 2015 - 1857 - 135*k**2 + v*k**3 + 475*k + 227 = 0. What is k?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3979 - -4000. Solve -y*f - 81 = 6*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2, -0.5, 1\/2, 9\/4, -0.061, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 - 1 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*c - 897 - 1120 = -502*c + 23 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8045 + -8047. Which is the fifth biggest value? (a) 0 (b) 5 (c) -1 (d) h (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5998 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10043105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3854*z + 1 - 5901*z + 0 - 1131*z.\nAnswer: -10886*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1239 + 1258. What is the greatest common factor of 19 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*b + 32 = -19, 4*b - 72 = -5*f. Let h be 18\/f*4\/3. Factor 4\/5*j + 2\/5 + 2\/5*j**h.\nAnswer: 2*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6.167761 years?\nAnswer: 0.06167761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**3 - 7*j**2 - 3. Let g be y(-3). Calculate the common denominator of g\/36 - 6\/(-9) and 119\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3400788763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 1, -5, -15\/7, 2, 446?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -347, -336, -317, -290?\n\"Answer: 4*h**2 - h - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -1 + 9 + 0 - 4*o + 0*o. Let r be i(9). Let u = r + 42. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*r - 403*r + 40 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*c - 10. Suppose -y + 1 = c. Which is greater: -4\/5 or y?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 166107 and 19839?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6381 - 6381.1. What is the nearest to -10\/9 in 1\/2, m, -0.03, 1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*p**4 + 2*p**3 + 2*p + 0*p**2 + 0*p**2 to h*p**3 + u*p**4 + w + c*p + a*p**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 16) to base 2.\nAnswer: 1001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 39 = -3*m - 6*o, 42 = 3*m + 5*o. Calculate the highest common factor of 144 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-3 + 5)) + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0*f + f + 15, 0 = -4*t + 5*f + 57. Suppose 3*m + 8 - 2 = 0, d - 20 = m. Calculate the greatest common divisor of d and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*d**3 + 53*d**3 + 3*d - 25*d**3 wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, t: 2, o: 1, k: 1, c: 1, g: 3}. What is prob of sequence cgk?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 1, -2\/5, 2\/25, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4156.473 and 0.024?\nAnswer: 99.755352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -22.655 * -70\nAnswer: 1585.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6997 - 0.5.\nAnswer: -1.1997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**6\/105 + h**5\/70 + h**4\/84 + 5*h**2. Factor g(q).\nAnswer: -2*q*(q - 1)*(4*q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-210)\/1140*-19.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 336\/13, -2\/9, 18, 7, 1, -24 in decreasing order.\nAnswer: 336\/13, 18, 7, 1, -2\/9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 4\/(-2))\/(17\/68). Suppose 34*g**3 + 2*g**5 + 2*g - 43*g**3 + 4*g**2 - g + 3*g - g**q = 0. What is g?\nAnswer: -2, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1307007?\nAnswer: 3, 13, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3711 is divided by 281.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 8 = 5*w, 79*w - 81*w + 5*k + 20 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bkbrvpik. Give prob of sequence ipkr.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8 = -o, 6*t = 2*t + 3*o + 13. What are the prime factors of (2\/t - (8 + -4)) + 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*y, 2*y = 2*n - 172. What is the greatest common factor of 215 and n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273676 is divided by 26208.\nAnswer: 11596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as -2.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 164608412 and 175676.\nAnswer: 164608412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12229 is divided by 12222?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644229 + 118787 = 5*d - a, -2*a - 1068223 = -7*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135183?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -1.06.\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**6\/720 + u**5\/60 - 11*u**4\/144 + u**3\/6 - 3*u**2 - 7. Factor w(m).\nAnswer: -(m - 3)*(m - 2)*(m - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 9*a + 1. Let c be q(10). Let w = c - 60. Let t be ((-2)\/6)\/(1\/w). Solve l + 4*l = -5*y - 25, -5*y = 4*l + t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(((-5)\/(-3))\/5). Let l(g) = g**2 + 3*g + 2. Does 10 divide l(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**4 - 83 - 91 + 166 + q to s*q**4 + j*q**2 + h + p*q**3 + f*q and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*y - 2*f = -50*y, -f + 1 = -y. Let s = 3\/10 + -4\/5. Sort 1.6, y, s in decreasing order.\nAnswer: 1.6, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-1 + 24 + 0 + (89 - 79))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - 4*t + 7. Let a be i(3). Suppose 14*b - 10 = a*b. Suppose v**2 - 4*v**4 - b*v + 11*v**2 + 2*v = 0. Calculate v.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 512 and 832.\nAnswer: 6656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30.71664944 - -0.2.\nAnswer: -30.51664944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 2*u - 1. Let q be x(-1). Suppose 4*t + q*t = 8. Suppose 6 = 2*d - 10. Solve t*n - 4*n = d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*w - 6 + 6)*(-2 - 2 + 2) - 2*w + 0*w + 3 + 2.\nAnswer: 64*w + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 4. Let h be j(3). Find the third derivative of 370 - 185 - 9*u**3 - h*u**4 - 4*u**2 - 185 + 14*u wrt u.\nAnswer: -168*u - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 68, -5, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m**3 + 43*m**3 - 22*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, v: 9, w: 2, s: 8}. What is prob of sequence sss?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -58 divided by 1420\nAnswer: -29\/710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 607363 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r**2. Let q = 3 + -1. Let x(d) = -9*d**2 + 6*d**q - 2*d**2 + 2*d**2. Give s(x(v)).\nAnswer: -63*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/o**(-8))))\/(o**5\/o))**36 assuming o is positive.\nAnswer: o**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1450 (base 7) to base 11\nAnswer: -482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2253*a = -2249*a - x - 11, 2*a + 3*x - 9 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**5\/70 - 19*g**4\/42 - 2*g + 4336. Factor w(o).\nAnswer: -2*o**2*(o + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.4 (c) 7 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -478 (b) 2\/11 (c) -0.3 (d) 1\/6 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 511813 and 20971.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 336 = 2*y, -2*o + 3*o + y = 158. Let p = -162 + o. What is the least common multiple of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41510399?\nAnswer: 7, 847151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5058881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9003 - -9003. Which is the nearest to 31? (a) -2\/13 (b) 2 (c) o (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h*z**3 + 2*h*z**2 - 97*h*z + 4*h + 507*z**3 - 17*z**2 + 25*z wrt z.\nAnswer: 12*h*z + 4*h + 3042*z - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 3:49 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -73*j**3 - 5*j**2 + 14*j - 10. What is d(1)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 40 = -d. Let l(u) = u**2 - 3*u - 19. Let o be l(d). Suppose o + 89 = j. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 16 = 4*f. Let d = f - -45. Suppose -r - d = -2*r. What is the highest common factor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.86 - -8. Let m = 0.66 + k. Let p = -13 - -27\/2. What is the third biggest value in m, 4, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -657638 + 1201167. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1100) + 0 + 0)**2)*-2.\nAnswer: -2206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9120897 equal to 45604489\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Let k(b) = 4*b. Let f be k(1). Suppose u + l*u = -f. Sort -5, -0.4, u in descending order.\nAnswer: -0.4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2.2. Which is the biggest value? (a) -25 (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -2\/3 (b) 1\/11 (c) -2 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.77 + 0.67. Put -5, -0.2, l in increasing order.\nAnswer: -5, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12*-0.04\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqqwwqwwww. What is prob of sequence qqw?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -275, -419, -563, -707?\nAnswer: -851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/39)\/k*k**(-29)*k*k*k**(-3\/25)*k\/(k**(-23)*k)*k)**(-1\/51) assuming k is positive.\nAnswer: k**(4067\/49725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -238290473\/145100 - 1\/72550. Let q = 1652 + v. What is the common denominator of ((-56)\/(-20))\/((-72)\/(-130)) and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68803582 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -969*z - 11645. Determine j(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 224\/3 + -3509\/48. Let o = 21\/34 + 491\/17. Find the common denominator of o and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 1142*u = 1139*u - 19, -26 = i + 5*u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -358, -2, -5\/3, -1724?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9302.44055 rounded to the nearest 100?\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**2 - 4*m - 3. Suppose 3*p - 15 = -0*p. Suppose -2*q = -1 - p. Suppose -3*r - 5 = q*v - 2*v, 3 = 3*v. Give w(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((4 + sqrt(396) + -1)**2 + 1 + (sqrt(77)\/(4*sqrt(7)) - sqrt(11)) + sqrt(11))*2*-3.\nAnswer: 2175*sqrt(11)\/2 + 12180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 750.2966 hours in microseconds?\nAnswer: 2701067760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 1:48 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/(-15)*6\/4. Suppose -3*u - 91 = -f*b, -3*b + u + 82 = -4*u. Suppose -4*k + b = -41. What is the highest common divisor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 7*l + 6. Let m be d(-5). Let o be m - -6 - (1 + 3). What is the remainder when (-2)\/(o + 6\/4) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1735249296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329438477.\nAnswer: 59, 479, 11657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91207 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31 and -0.23.\nAnswer: 7.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.07 (b) 1445 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -111?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 399 and 294?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*k - 4 = 0, 4*k + 11 = 3*f + 3*k. Factor 4\/7*i**2 - 4\/7 + 0*i**4 - 8\/7*i**f + 6\/7*i + 2\/7*i**5.\nAnswer: 2*(i - 1)**3*(i + 1)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2, 1\/5, 21, 0.05, 0.041?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(640)*-2))**2.\nAnswer: 3\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/12 + z**4\/6 - 42*z**2. What is the second derivative of m(h) wrt h?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22060875\/7 or 3151553?\nAnswer: 3151553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -136, -134, -130?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 7:53 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.019 - 1.431. Let y = 0.7696 - 2.2062. Let b = y - d. Round b to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/65 and -10\/91.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2664.2 minus -0.02421?\nAnswer: -2664.17579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -11) + 1 + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 10*w**2 + 121*w + 95. What is the lowest common multiple of 11 and t(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/48)\/((-1)\/(-2)). Let u = -4.9 - -8.9. Sort 1\/4, f, u.\nAnswer: f, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18909 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 t = -1 - -3. Suppose 13 = -2*j - 3*w + 4, -t*j + 3*w + 9 = 0. What is the third derivative of 10*r**6 + 0*r**2 + j*r**2 - 4*r**2 wrt r?\nAnswer: 1200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (1 - 9) + -10 + 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3787726 or -3787466?\nAnswer: -3787726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2*a - 3*a + 28.\nAnswer: -a + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (4 + -3)) + 2 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/19))**11\/(j**(3\/16)\/(j\/(j\/j**(-19)))) assuming j is positive.\nAnswer: j**(-5481\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-12\/7)*x**(7\/2)\/x assuming x is positive.\nAnswer: x**(11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aka when three letters picked without replacement from {k: 4, z: 1, a: 6}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-x + 4*x - x)*(-1 + 5 + 9 + (-4 + 2 + 3)*(-4 - 2 + 4) + 3 - 1 + 0 - 2 - 1 + 1).\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - n - 15013 = 0, 4*q - 74*n - 12023 = -69*n. Is q a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 127295640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/16 of a second?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -18 - -1) + -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 8:28 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjbjbjjjbjjbjbj?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2. What is the nearest to d in 0.5, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 13*s**2 - 27*s + 47. Let f be x(-15). Suppose 2*h + f*i = 922, -4*i = -5*h - 3*i + 2293. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -16 (b) -2\/7 (c) 12456\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 + 230\/30)*6\/(-10). Let o = 19 + -19.2. Which is the smallest value? (a) k (b) -3 (c) -5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*h + 6391 = 800*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u - u + 5*u)*(-u - 5*u + 4*u) as w*u**2 + i*u + q and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181 divided by 79.\nAnswer: 181\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o**2 + 117*o - 1308. Give k(23).\nAnswer: -1791","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 - 4*f - 6. Suppose -3*q + 5*h = 392, 455 = -4*q - h - 60. Let w = q + 122. Let s(n) = n**2 - 3*n - 4. What is w*s(g) + 5*a(g)?\nAnswer: 3*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*y)*(-12 + 12 - y)*(-46 - 14*y - 54 + 101 + (2 - 1 + 0)*(6*y - y - 3*y) - 2*y + y - y).\nAnswer: -28*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*h - 27*h - 30. Let y be ((-25)\/h)\/(-5)*0. Determine b, given that 0 + y*b - 1\/3*b**4 + 2\/3*b**3 - 1\/3*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + a**2 + (-2 - 2*a + 2)*(-5716*a + 2629*a - 1811*a).\nAnswer: 9797*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -44.5. What is the nearest to -1 in r, 0.3, -6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26717742 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*8\/(24\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/6 - 3)*327. Suppose -c = 3*l - 2*c - q, -l + 4*c = -29. Calculate the remainder when l is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4*t - 2*t + 4, 0 = -5*t + 5. Suppose -o = -4*m + 3*m. Solve 0 = -2*b + m - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1050729 rounded to three dps?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21161 + -10771. List the prime factors of q.\nAnswer: 2, 5, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -409530 times 0.4\nAnswer: -163812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5356749.\nAnswer: 3, 37, 48259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 10:49 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o = 18 - 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 0*g - g + 8 = 52*r, -4*g + r = -g - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12.184342042 from 128.\nAnswer: 140.184342042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1536 + 1439?\nAnswer: 2974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8\/25 of a microgram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 6*q + 4*q)*(2 - 2 - 1)*(-21229*q - 31041*q + 94056*q + 82789*q + 22293*q).\nAnswer: -293736*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 603?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvureew. Give prob of picking 2 p and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65 and 47077550?\nAnswer: 47077550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 - 5*r**2 - 5*r + 8. Let h(a) = a**2 + a - 1. Give d(t) + 5*h(t).\nAnswer: 2*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/((x\/((x\/(x**9*x*x*x*x))\/x))\/x*x)*(x*x\/x**2*x*x*x*x)\/x**(7\/5))**(-37) assuming x is positive.\nAnswer: x**(1924\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3299*s = -42*s - 233870 for s.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from gtgtoofggotggtosgsg?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 5)*(-38 + 13*i**3 + 38) to the form o*i**3 + q*i + g*i**2 + m and give o.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 378\/792*(-4)\/(-38). Let w = -5\/38 - g. Let q = 0.4 - -2.6. Sort w, q, -3\/5.\nAnswer: -3\/5, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418701937?\nAnswer: 59, 7096643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -505012?\nAnswer: 505007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.086 + -0.014. Let x = 4.1 + y. Which is greater: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + (3 - 20) + 39.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -1. Which is the smallest value? (a) -5 (b) 0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/160 and 3\/(-2)*382\/66 + (-35 - -41).\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from ooozoooottbobbotdod.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -3312?\nAnswer: 3302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2601)\/3)\/3 + -2. Let k = d + 482. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**3 + 13*q**3 + 1 + 6*q**3 - 34*q**3.\nAnswer: -7*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 151 and -199.\nAnswer: -30049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10 = 20. Suppose -2*y + j = 5 - 13, -y - 5*j + s = 0. Let u = -526 - -555. Solve -2*v - 2 = -k - 1, -u = -y*k - 2*v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9081 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -369b5 (base 14) to base 8\nAnswer: -405003","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**7\/168 - c**6\/30 + c**5\/80 + c**4\/8 + 19*c. Factor q(s).\nAnswer: s**2*(s - 3)*(s - 2)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4))**(-9\/7)*(b*b**1)**(1\/3))**38 assuming b is positive.\nAnswer: b**(1577\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/3 + 28*l - 222230\/3 = 0 for l.\nAnswer: -355, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 200 = -5. Suppose q - 4*i = 47 - 23, -3*i = 2*q - n. Solve 4*b - 31 = -5*j, -4*b + 7 = j - q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.8506 millennia to decades.\nAnswer: 3485.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -1 + 5 + 1 + -3. Let g(q) = 109 + 4*q**3 - 15*q - 13*q**2 - 90 - 3*q**u. Let h be g(14). Solve h*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1913783 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -658 or -136292\/207?\nAnswer: -136292\/207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1100) + -1 - (sqrt(1100) + sqrt(1100)*1 + 3)**2) + 4)*1.\nAnswer: -4410 - 110*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 29 = -2*d. Let w = d - 13. Let o be (w\/14)\/(2\/20). Solve 0 = -4*i - 5*b + 3, b + o = -3*i + 5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9597630?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + k. Let f be ((-6)\/24)\/(2\/(-8)). Let v(l) = -3*l**2 + 2*l. Let p be v(f). Let q(x) = 4*x**2 + 9*x - 6. Let n(a) = p*q(a) + 3*c(a). Give n(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*w - 187*w = 49*w + 1287 - 372 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 52240 = 298120. List the prime factors of p.\nAnswer: 2, 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**4\/24 - 11*i**3\/3 - 36*i**2. Let b(u) = -2*u**2. Give b(f(w)).\nAnswer: -2*w**2 - 88*w - 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-75))\/((-6)\/(-10))*(-229)\/(-458).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 12, -0.2, -3\/8, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 8*m + 79. Let k(x) = -107*x**2. Calculate y(k(f)).\nAnswer: -856*f**2 + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 292638841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -126 divided by 9\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 293\/195 - 1\/390. Let c(u) = -u + 10. Let w be c(8). Suppose -3\/2*p**w + q*p + 3 = 0. Calculate p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + 9)\/(6\/(-27)). Which is the biggest value? (a) v (b) 3 (c) 4 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 773853 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2679 and 5358.\nAnswer: 5358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -9 + 34 + -8\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -45 and -243 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 32*x + 710. Give g(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-8))\/((-5)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-3 + 6 - -5) + -21.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -1\/6*g**3 + 0 + 0*g**2 - 1\/6*g**4 - 79*g - 1\/20*g**5. Factor c(q).\nAnswer: -q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 164 + -4?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2.6. Suppose -2*f - 4 = -4*f. Let l be (-1)\/(-2) + f - 2. Which is the third smallest value? (a) 2\/3 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -25*i**4\/4 - 160*i**3\/3 + 470*i**2 + 400*i + 806. Find x, given that q(x) = 0.\nAnswer: -10, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/6 - 833\/102) + 6. Let z = 0.81 - -23.19. Which is the smallest value? (a) z (b) -1 (c) 0.1 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*d + 4*f = 61*d + 1303, -4*d = -3*f - 1061. What is the remainder when 1283 is divided by d?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 12*d + g = 1, 0 = 3*d - g + 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 41 = 134. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/7 - 12\/7*s + 2\/7*s**2.\nAnswer: 2*(s - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9191\/17 + 541. Let z = 140310 - 2385264\/17. Factor -t*b + 2\/17 - 2\/17*b**3 + z*b**2.\nAnswer: -2*(b - 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 361199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 213 (base 4) to base 7\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2669.5533 to the nearest ten.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.59 + -1.41. Which is smaller: 2\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 + 7*b + 13. Let h be v(-4). Which is smaller: 18 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 20*m**2 - 17. Let x(n) = 7*n**2 - 5. Let g(p) = 2*u(p) - 7*x(p). Let j be (0\/2 - (-1 - -2))*1. What is g(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*f = -15. Let k = -6 + 8. Put f, k, -5 in decreasing order.\nAnswer: f, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**5 + 1923*w**4 + 1935*w**3 - 5775*w**2 - 1932*w + 3852 = 0.\nAnswer: -2, -1, 1, 642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a kilometer in meters?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -401515 + 1304?\nAnswer: -400211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159920 divided by -5?\nAnswer: -231984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153865652.\nAnswer: 2, 157, 491, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 0 + 0*t - 1\/12*t**4 + 76\/3*t**3 - 1\/120*t**6 - 14*t**2 + 1\/20*t**5. What are the prime factors of z(0)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 8 = -6. Let r(w) = y*w + 1 - 20*w - 1. Let u(t) = -2*t**2. What is r(u(v))?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2077, 2080, 2083?\n\"Answer: 3*p + 2074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j + 45678 = 1971. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 3*n**6\/20 + 19*n**3\/6 - 24*n**2. Differentiate y(m) wrt m.\nAnswer: 54*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70 or -491\/7?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 27063350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7\/17 + 1\/85. Let h = 713\/15 - 142\/3. Which is the fourth smallest value? (a) s (b) h (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 272, 2, -143, -2 in decreasing order.\nAnswer: 272, 5, 2, -2, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.4 (b) -2\/83 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 200712 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 5*i**2 - i - 4. Let f be g(3). Let l = f + -1. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 18*y + 2. Determine t(-16).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3578668?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxtx when four letters picked without replacement from {x: 6, t: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -25, -4, -49, 1\/6, 38?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 895 = 4*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 374519120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43246, -611, -2 in decreasing order.\nAnswer: -2, -611, -43246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 2)\/((-8)\/4). Let y = m + -1. Sort y, 2, 1 in increasing order.\nAnswer: y, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c + 17358 = 21*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 327138900?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4220734964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 1290\/(-90))\/(1\/(-6))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y + 4*y**4 + y**4 + 3*y - 4*y - y**2 in the form t*y**3 + x*y + o*y**2 + i + w*y**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 2*m - 37. Let a be l(-15). Let q = a - -713. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 2*p**2 + 6. Let t be a(0). Let j(q) = 13*q**2 + 38*q + 20. Let k(o) = 15*o**2 + 39*o + 18. Let u(l) = t*j(l) - 5*k(l). Factor u(x).\nAnswer: 3*(x + 1)*(x + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-2 - -1) - (-19 + -4 + 11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*f + 84, -5*f + 4*s + 0*s = -106. Let n be (-9)\/(-18)*(1 - f\/14). Which is the fourth biggest value? (a) n (b) -5 (c) -1 (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*g - 3 = 0. Find the second derivative of g*k - 4*k + 4*k**2 - 3*k**2 wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10610751?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1600 by -200.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 19*y - 15*y - 2, -5*y = -2*h - 1. Sort -26, -1, h in increasing order.\nAnswer: -26, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -131 + 45. Let i be (-10)\/(-55) - l\/11. What is the second derivative of 4*n**3 - n - 8*n + i*n + 4*n wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.4, -2.98?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/74 and 7\/162.\nAnswer: 5994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385586 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: Does 14 divide 1582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2814)\/588 - 18\/(-4). What is the closest to 0.1 in -0.8, -2.74, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33580 - 33577. What is the closest to 0.1 in 0, -1, s, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*c + c + 52, 4*c - 28 = -2*v. Suppose 0 = 3*y - y - v. What is the remainder when 19 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 9*i**2 - i - 6. Let x be s(-8). Suppose -5*l - x = -181. Calculate the remainder when l is divided by (-60)\/21*(-105)\/30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*m - 118, -2*m - 394 = -l + 4*l. List the prime factors of l\/(-6) - 12\/36.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5553.\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 4*b - 64 = 3*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1807 + -1807.4676. Let t = 0.518 + -0.058. Let m = t + a. What is m rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1 - 0)*1476\/(-9594)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.04 - -0.04. Let v = 40\/13 + 451\/52. Let j = v - 12. What is the second biggest value in -4, w, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 8*j**2 + 7*j + 3. Let b be f(7). Let c be b\/(-4) - (-110)\/40. Which is smaller: c or 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5856 and 6432.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63218 is divided by 21071.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + 2*i**3 - i)*(-7 - 13*i - 7*i + 19*i) in the form c*i**3 + v*i + b + a*i**4 + f*i**2 and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.19, 0.4, -0.3 in increasing order.\nAnswer: -1, -0.3, 0.19, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = 17*x + 20. Let m be -3 + 855 + (-10)\/x. Suppose -2*h + 3*s + m = 3*h, 5*h - 4*s - 857 = 0. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-35)\/(-42)*-8 + 7. Factor 1\/3*i**2 + 2\/3*i + o.\nAnswer: (i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 5*v + 23, -23*v + 21*v = 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -528 - -529. Suppose 1 = u - r. Let -4\/13*p + 0 + 2\/13*p**u = 0. Calculate p.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 44*t + t - 1)*(0 - 2*t + 0).\nAnswer: -80*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 55 - -30?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 16*s + 19. Calculate b(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*x + 3. Let z(c) be the second derivative of c**3\/6 - c. Let m be z(2). Solve -x = m*k - 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -735910.522 - -735861.52199865. Let f = m + 49. What is f rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(4)\/sqrt(2)) + (sqrt(300) - (-2*sqrt(300) - sqrt(300))) + sqrt(300).\nAnswer: 51*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 + 5054420*m**2 + 3193395192050*m.\nAnswer: 2*m*(m + 1263605)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 22*b**2 - 7*b - 297. Let k be d(21). What is the third biggest value in -0.42, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2 + 13. Let s be n(-4). Let v = 81 - s. Suppose l - v*l = 15, 4*u - 583 = -l. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -6. Suppose 2*g - q = -1. Solve z - 8 = 5*t, -t + 4 = -g*z - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-15) - 78\/(-10). Suppose g = -2*l - 4*y + 70, 0 = -3*l + 4*y + 63. Suppose 0 = -9*f + 4*f + l. Solve 0 = h + 10 - f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 41 - (-2 + (0 + -2 - 0))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 24*w - 5. Calculate the remainder when 151 is divided by n(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*g + 30, 5 = -2*g + c - 7. Let m = g - -8. Calculate the remainder when 3 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36369 is divided by 805?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**3*w + 127*q**3 + 25*q**2*w - q*w wrt q.\nAnswer: 6*w + 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -159, -237, -313, -387, -459, -529?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28645?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -24. Find the second derivative of -27*s - 3*s**2 - 6*s**4 - a*s + 57*s wrt s.\nAnswer: -72*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 54*i**2 - 13*i - 613. Let m be y(-54). Sort 3, -1, 27, m in ascending order.\nAnswer: -1, 3, 27, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 132917801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(1*(-14)\/(-6)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 7*u**2 - 3*u - 16. What is the units digit of g(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**0\/(o**(-3\/8)*o)*(o**(-1\/4))**(-32) assuming o is positive.\nAnswer: o**(59\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 h, 1 v, and 1 s when four letters picked without replacement from hhhhhossdhvhs?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(2\/3))\/i)\/i*i)**(-2\/133)\/(i**(-2)*i*i\/i**(1\/6))*((i**(2\/13)*i)\/i)\/(i**(-7)*i)*(i*i**(-1\/4))**(-1\/29) assuming i is positive.\nAnswer: i**(3781409\/601692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -305*f**2 - 15*f*h**2 - 9964*h**2 with respect to f.\nAnswer: -610*f - 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12210 divided by 6.\nAnswer: -2035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f = 56. Let c = -11 - f. Suppose c*l - 2*z - 622 = l, -5*l + z = -1539. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = z - 102. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111181 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -79.\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 115 = -8*j. Let x = 660 + -453. Calculate the greatest common factor of j and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 774615 (base 8) in base 6?\nAnswer: 5325553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6842494 and 7678?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**3\/4 + 1493*f**2\/4 + 132020*f + 13661425 = 0?\nAnswer: -1033, -230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 2, k: 2, r: 1, f: 1, o: 1}. What is prob of picking 2 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 200 + -194. Solve 10 = -j + o*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3498)\/(-36))\/((-1)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -125, -134, -145, -158, -173, -190, -209?\n\"Answer: -a**2 - 6*a - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18591 divided by -324?\nAnswer: -6197\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -122 + 121.9742. Let b = m - 0.3742. Put -0.1, b, 11 in decreasing order.\nAnswer: 11, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (32\/24)\/((-1)\/(-3)). Suppose -l - b*h + 5 = 0, 2*l - 25 = -3*l - 4*h. Solve -l = 2*y - 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*p - 8. Suppose -3*s + x = -10, -p = 2*s + 2*x + x. Let r = s + 2. Solve -5*q - 10 = -v, -2*q - r = 3*v - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9939?\nAnswer: 3, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4 - -4 - (-3 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + ((-10)\/(-2))\/5. Let n(c) = -6*c - 9. Let y(j) = 6*j + 9. Let t(k) = b*n(k) + 4*y(k). Differentiate t(i) with respect to i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**3 - 4772*z**2 + 1420860*z + 1425636 = 0. What is z?\nAnswer: -1, 597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329 a factor of 778079509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*d**2 + 108*d**2 - 9*d + 2*d + 7*d.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 75508561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a week in minutes?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35\/3 + 8. Let t = -4 - z. Let r = -31038 + 62075\/2. What is the second smallest value in 4, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2166 = 4*p + 2*j, -4*p + 4*j + 2160 = -0*p. Let q = 26507\/49 - p. Which is bigger: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799726.\nAnswer: 2, 281, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 102.416055 and -3.\nAnswer: 99.416055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 2\/85, 1, -9 in increasing order.\nAnswer: -9, 2\/85, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30250 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.903186g to micrograms.\nAnswer: 6903186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2627\/6 in 1\/120, 5, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 207380 and 1.\nAnswer: 207381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 - -1 - (34 - (17 - -10)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uub when three letters picked without replacement from {f: 2, u: 4, b: 2, a: 5}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/56 and 133\/20016060.\nAnswer: 280224840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*w + 96000 = -201*w. Round w to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (0 + -6 + 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110 - 160 + 83)*(2 - 5 + 2)*(4*u - 4*u + u)*(1 - 2 - 1).\nAnswer: 66*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 69*x + 7. Let l(d) be the second derivative of 23*d**3\/6 + d**2 - 2394*d. Give -14*l(z) + 4*q(z).\nAnswer: -46*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60528 and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12*-2)\/((-3)\/(-144)*-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 29 + 6*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 0*j**2 + 0*j**3 + 23\/4*j**4 + 18*j + 24. Differentiate d(x) with respect to x.\nAnswer: 69*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6204, 12284, 18114, 23568, 28520, 32844, 36414, 39104?\n\"Answer: -21*n**3 + n**2 + 6224*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251603828?\nAnswer: 2, 7, 109, 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33681 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + 12 + 2 - 14 to z + g*k and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -12*m - 2. Let l be u(2). Let q = 46 + l. Suppose 0 = o - 29 - q. Is o 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 5:55 PM and 11:39 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6319399 is divided by 152?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 + 0 + 0 + (-p + 0*p + 3*p)*(-2*p**2 + 0 + 0) + 4 - 4 - 2*p**3 - 4*p**2 + 4*p**2 + p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -108 (base 10) to base 9\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4.4+-155863623\nAnswer: -155863627.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(325)*-2 - sqrt(325)).\nAnswer: -5 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = l + 48. What is the highest common divisor of 176 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/8 + 615*z**2\/8 + 4587*z + 84942.\nAnswer: 3*(z + 44)**2*(z + 117)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7118229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = y - 26, 0*y + z = 5*y - 152. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*j = -4076 + 566 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c*c\/(c\/(c\/c**(2\/7)))))\/c)\/c)\/(c*(c**(1\/3)*c*c)\/c*c))\/(c**(-2\/5))**(2\/85)*(c**(-2\/7)*c)**(3\/10)\/(c**(-4)*c**4*c) assuming c is positive.\nAnswer: c**(-17401\/2550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3520542533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7484363102?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 32*p + 8. Let b = -7049 + 7051. Give v(b).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 38.99999972. Round q to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 30819551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 d, and 1 u when three letters picked without replacement from {x: 2, q: 4, d: 2, u: 6, s: 1}.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 19*x + 5. Let t be g(19). Solve -l - 12 = -t*o, 3*l - 1 - 5 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.1 (c) 0.2 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 340314 - 121?\nAnswer: 340143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + o + 1. Let b(j) = -5*j**2 - 4*j - 4. Let g(x) = -b(x) - 4*v(x). Let u(f) be the third derivative of f**5\/10 + 2*f**2. Give u(g(t)).\nAnswer: 6*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 - 19*r**2 - 6*r + 40. What is d(6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225726046 and 2756.\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20130 (base 4) to base 14\nAnswer: 2a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + z + 8. Let x(w) = -2*w**3 - 2*w**2 + 3*w + 2. Give x(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18009 + 18003 = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 553276, 553273, 553268, 553261, 553252?\n\"Answer: -l**2 + 553277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 + 2*q**2 + 4. Let m be l(-6). Suppose 0*n + m = 4*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275925375.\nAnswer: 3, 5, 11, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -156*x + 19. Suppose -5*r - 34 + 4 = 0. Is z(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n. Let o(z) = -4*z. Let k(f) = -3*j(f) - 7*o(f). Let c(q) = 8*q + 3. What is c(l) - 4*k(l)?\nAnswer: 4*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -1, -4, -8, -2, -548 in descending order.\nAnswer: 3, -1, -2, -3, -4, -8, -548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 1 - (-5 + 14 + -14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -13)*36\/24\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-3) - (-2 - 634\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 8:13 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2710406*a**3 - 997*a**2 - 1162*a.\nAnswer: -16262436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*l = -11705, 20*u - 22*u - 2*l = -7800. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38275?\nAnswer: 5, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1866.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5596*w - 453264. Calculate k(-81).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 5*j. Solve 2*s - 2*u - u - 14 = 0, s + 2*u = j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 4, -2\/11, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4091288760.\nAnswer: 2, 3, 5, 13, 23, 191, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x**2 + 14*x - 7. Is c(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2227*j*q**3 - j*q**2 - 10612059*j - 1010*q**3 + q**2 wrt q?\nAnswer: -13362*j - 6060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*c - 198 + 198)*(2 - 117*c + 118*c + 2) as m + l*c + i*c**2 and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*c - 18547 = 0, 3*w - 9*c + 14*c = 18587. Does 33 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37624400 to the nearest 100000.\nAnswer: -37600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**2. Let b(p) = -1240*p. Give w(b(v)).\nAnswer: -6150400*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 3:43 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31709533 to the power of 1\/3, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*f = 540, 613 - 71 = -2*m - 4*f. Let d = 303 - m. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 1 + 1)*(-5*h - 19 + 7*h + 18).\nAnswer: 4*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -4 - 228\/(-8). Let i = 26 - z. Let m = 5\/6 + -23\/24. Which is the closest to -1? (a) m (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 539.1789l to millilitres.\nAnswer: 539178.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twiihhhh. What is prob of picking 1 i, 1 h, and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veevevvvevveuvueu. What is prob of picking 1 v and 1 u?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 - 113. Let a = -31 - -95\/3. What is the nearest to a in -3\/2, 2\/7, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r - 5*c = 5, 4*c = 4*r - 20. Let o be (3\/(-2))\/((-3)\/(-20)). Calculate the remainder when (-50)\/15*12\/o is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/13)*c*c*c**(-6)*c)\/((c\/(c*c**(-4)))\/c**8) assuming c is positive.\nAnswer: c**(15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -0.4, -40, 0.3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 6*b**2 - 2*b - 5. Let k be v(-6). Let f = -5 + k. Suppose -59 = -f*j + 13. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.008 to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881511 a multiple of 603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b**2 - 2*b + 1. Let z be q(1). Sort -5, z, 1 in descending order.\nAnswer: z, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 0*a**4 + 11\/70*a**7 + 0*a**5 + 0*a + 3\/20*a**6 + 0*a**3 + 1 - 14*a**2 + 1\/28*a**8. What is u in c(u) = 0?\nAnswer: -2, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -302522 by 302522.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -45. Suppose -2*k + 0*h + 4*h = 0, t*h - 10 = -4*k. Solve 1 = k*j - 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 - 2*g - 1. Let v(k) be the third derivative of 0*k + 1\/60*k**5 + 1\/6*k**3 + 0 + 3*k**2 + 0*k**4. Give u(y) + 3*v(y).\nAnswer: y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*(-5 + 3)*-7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 24798 and 24803 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-14) + 33120\/210. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-7) + 2)\/((-204)\/357*(-3)\/(-12))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(143) - sqrt(143))\/sqrt(11) - (sqrt(13) + (1 + sqrt(13))**2)*-5 - (1 + 2*sqrt(1300) + -1*sqrt(1300)*4).\nAnswer: 69 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000031343641 to seven decimal places.\nAnswer: -0.0000313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**3 + 18*d**2 - 7*d + 47. Let a(i) = -3*i**3 - 16*i**2 + 6*i - 43. Calculate -7*a(w) - 6*s(w).\nAnswer: -3*w**3 + 4*w**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 18. Suppose 5*v + f = 15, -5*v + f = 5*f. Suppose c + v*c = 75. Let k be q(c). Put -4, k, -2 in ascending order.\nAnswer: -4, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1608.096 + 140.394. Let x = m - 1738. Let c = x + -11.1. Round c to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37.26 + 1.47.\nAnswer: -35.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 31 = -3*t, -10 = 2*t - 4944*n + 4940*n for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 77 - -20?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 3104 + 8*j - 3*j.\nAnswer: 2*j - 3104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 - 4*l**2 - 9*l - 8. Let i be d(-6). Let c(a) = -2*a**3 - 12*a**2 - 20*a + 17. Let n be c(-7). Suppose n + i = 5*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 55625187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - g + 3. Let f be (-1)\/((-9)\/4 + 2). Let w be p(f). Let x = w - -25. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = -2*f. Let r(i) = -16*i**3 - 9*i**2 - 6*i + 10. Let a(w) = 3*w**3 + 2*w**2 + w - 2. Let m(c) = -11*a(c) - 2*r(c). Determine m(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2763?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37 times -2?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 170*f**3 - 3*f**2 + 4*f - 2. Let k be d(2). Suppose 0 = -9*m + 98368 - 17746. Suppose -k = 4*w - m. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + 137 - (6 - -34).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (11 - (-8 - -27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 18*c - 96*c**3 - 6*c**2 + 6*c**2 - 13*c + 32*c to n + m*c**2 + p*c + r*c**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -3. Let x be z*(-1 + 2)\/1. Solve -5*w + x = -19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/5, -1.6, -1\/15 in decreasing order.\nAnswer: 0.2, -1\/15, -2\/5, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifkwikikmmxk. What is prob of sequence ii?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -923507067251.\nAnswer: -923507067248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -0.02, 3422, -0.35?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by -130*((-96)\/(-60) - 3)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1317 - -130381\/99. Let n(o) = -o**2 - o - 1. Let m be n(-1). Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -54 + 12. Let q = 23 - h. Solve 2*p = 7*p + q*s - 22, s - 1 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5 - 1. Let w(m) = 2*m + 42. Let b be w(-19). Suppose 8 = k + 2*k - p*c, 3*k + b*c + 32 = 0. Is k greater than -2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 4:16 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkbkklkkkklklkkkkky. Give prob of picking 1 k and 1 y.\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**4*z**3 + 5*b**4*z + 290*b**4 - 2*b**2*z**2 - 1457*b*z**3 wrt b.\nAnswer: 24*b*z**3 + 120*b*z + 6960*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18667, -74694, -168085, -298840, -466959?\nAnswer: -672442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 84 = -a. Let i be (-2)\/8 - 14\/8. Let h be 2 - i - (2 + -1). Solve a - h = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*p + 409 = 0, -608 = -3*n - 4*p + 3*p. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**2 - 2*g**2 + 2*g**2 + (-3 + 3 - g)*(-g + 3 - 3))*(-70 - 5 + 11) as h*g**2 + o + t*g and give h.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yya when three letters picked without replacement from {m: 2, y: 2, w: 3, a: 4, s: 2, d: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**9\/504 - 34*a**6\/5 + 181*a**5\/60 + a**4\/12 - 3*a**3\/2 - 2*a**2 + 4173*a. Find the third derivative of c(f) wrt f.\nAnswer: 120*f**3 - 4896","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**3 - 186*d**2 - 4608*d + 3. Let x(g) = -4*g**3 - 188*g**2 - 4608*g + 2. Let t(i) = 4*l(i) - 6*x(i). Find f such that t(f) = 0.\nAnswer: -48, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 925 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0945 to 1 decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1893 is divided by 147?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1 = -4. Let l be (-14 + -2)*(-34)\/(-4). Let c = -1500\/11 - l. Which is bigger: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 15, b: 2, a: 3}. Give prob of picking 2 o.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1008)*1 - sqrt(1008).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 552166 divided by -53.\nAnswer: -552166\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -467?\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3 + 5. Let i(t) be the first derivative of -1 - 1\/3*t**3 + 2*t + 5\/2*t**n. Give i(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -990*c**2*m**4 - 7*c**2*m**2 + c**2 - 37*c - 226 wrt m.\nAnswer: -3960*c**2*m**3 - 14*c**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 3446.\nAnswer: 689.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -130 (c) 3 (d) -2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1060, 2123, 3182, 4237, 5288, 6335, 7378?\nAnswer: 8417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4*0)\/(1\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4105, 4174, 4247, 4324, 4405?\nAnswer: 4490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.679043mg in grams?\nAnswer: 0.008679043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.83 times 135.5\nAnswer: 112.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - w - 38. What is the remainder when f(11) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82464175*c**2 + 48948545*c wrt c?\nAnswer: 164928350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 + 1 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2525 + -1.2525. What is the nearest to -43 in 0.3, -0.07, -2\/11, f?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 4*v**2 + 21*v + 4. Let i be k(-7). What is the third smallest value in -8, i, -0.6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*i - 27, 0 = 3*i - 6*b + b - 13. Let v be (i\/(-5))\/(2\/(-10)). Let z be (-10)\/v + 4\/(-8). Solve -z = -p, 4*p + 2 = 3*y + 5*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 191 (b) 0.02 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4\/7 - 30*a**3 + 612*a**2\/7 = 0. What is a?\nAnswer: 0, 3, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c**2*s**4 + 478*c**2*s**2 + 3*c**2*s + 4*c*s**3 - 2*c*s**2 + c + 36*s**5 - s**2 wrt s.\nAnswer: -144*c**2*s + 24*c + 2160*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*z**3)*(-62 - 8 + 19)*(-2*z + 0*z + 4*z)*(z - 4 + 4).\nAnswer: -204*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2335 - 2337. Let i be 27 + -28 - (0 + -1). Which is the second smallest value? (a) -1 (b) i (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/30733 and -47\/185.\nAnswer: 5685605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.797872l in millilitres?\nAnswer: 3797.872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -73ffec?\nAnswer: -73ffe7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.75625 centuries in millennia?\nAnswer: 8.675625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 22*a**3\/3 + 5*a**2 - 197*a + 684. Differentiate h(y) wrt y.\nAnswer: 44*y + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2\/5))**(32\/9))**(5\/7) assuming b is positive.\nAnswer: b**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -344*m + 10575 - 10575 in the form h*m + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*c**2 - 365*c**2 - 424*c**2 + 173*c**2.\nAnswer: -795*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14988036?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**5 - 510*x**4 + 26014*x**3 + 932358*x**2 - 9035136*x - 9940968 = 0.\nAnswer: -29, -1, 9, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/3 (b) 2\/23 (c) -0.3 (d) 5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(66\/(-16))*-3)\/(10\/100)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*n = -53*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-140)*(-4)\/(-82)*-2?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 13*j**2 + 2*j - 1. Let u(b) = -b - 3. Let a be u(-12). Suppose g + 8 = a. Is w(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19142 + 3119.35\nAnswer: 3119.15858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-15))\/(4\/(-390)). Let q = -45 + 77. Let z = g - q. What are the prime factors of z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -42, 2\/9, -1\/10, 1470, -1\/5, 9?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**3 + 8608*g**2 + 187348*g - 195960 = 0.\nAnswer: -2130, -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -34. Suppose -15*s = -p*s + 740. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 29*w + 4. Is 8 a factor of g(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93 + 100. Solve -u*n + 2*n = -15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:43 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 215 = -v - 5*j, -5*v + 280 = 4*j. Is 3598*-5*(-6)\/v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2983 and 1394474?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - d - 84, -27*o = -32*o + d + 204. Calculate the least common multiple of o and 208.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 164 = -136. What is the remainder when 120 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4*6*-7. Let p = 30 - 29. Suppose -4*o + p + 3 = 4*h, 4*h = 4*o - 20. What is the highest common divisor of o and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/36*(-3234)\/(-140) - 0 and -83\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3566\/13 + 67741\/247. Let o = -845\/7 + 121. What is the third smallest value in o, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 61\/(((-16)\/24)\/(-2)). Solve f*k - 5 = 178*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 7. Let f(m) = 5*m + 7. Let t(s) = 2*f(s) + 3*r(s). Let d be t(9). Solve 18 = z + 4*q, 5*z = 2*z + d*q - 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7135*-0.14\nAnswer: 0.09989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6258*u + 5 - 4 + 6340*u as r + w*u and give w.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t**3\/13 + 5317816*t**2\/13 - 2863462*t + 65143932\/13 = 0. Calculate t.\nAnswer: -664734, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2*d - 50 = 0, 16*o + 5*d + 23 = 2*d - 22 + 38 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 17.\nAnswer: -15\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 w when four letters picked without replacement from iwssiwiiiisi.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a meter in millimeters?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - 222\/9)\/(4\/(-216)). What is the greatest common divisor of 1330 and o?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -1c1e1?\nAnswer: -1c1e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 4*i**2 - 3*i**2 + 1 + 0*i**2. Let h(f) = -498 + 498 + 2*f**2 - f**2. Determine h(k(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 1:09 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17458938 + 17458939.2100133. Let u = p - 1.21. Round u to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 12\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, 119954, 4, -43.\nAnswer: -43, 3, 4, 12, 119954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.21 (b) 36966 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a + 8343?\nAnswer: 8325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -22, 3, 0 in increasing order.\nAnswer: -22, -16, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*93\nAnswer: -5.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1166 + -1155. Solve 0 = -5*i - t + 21, 3*t = 2*i - a - 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 104*t**3*u + 18*t**3 with respect to u.\nAnswer: 104*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 154*t**2 - 44*t + 568. What is the tens digit of h(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-18) - 2127316\/(-552). What is the greatest common factor of 82 and z?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 7*p + 2. Let m(i) = -i - 1. Let j be m(5). Let t be q(j). Does 12 divide (t\/(-6) - -2)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -14. Which is smaller: r or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127541 is divided by 2966.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -31?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/50400 and -73\/40320?\nAnswer: 201600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one quarters of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -325.3 - -310. Let g = 14 + m. Let k = -1.9 - g. Do 1 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1255252 by 6572.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2521202 or 2521209?\nAnswer: 2521202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v + 6 = 0. Suppose g + v*g = 364. Suppose -g - 57 = -4*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 - -10)\/(-1*4)*6. Let n(b) = b - 3. Calculate n(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/8*-2 - 0. Suppose -2*z - 2*n - 12 = 0, 20 = 54*z - 49*z - 5*n. Which is the biggest value? (a) v (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 538*d**3 + 1199*d**3 - d - 98*d**2 - 161*d**3 + 1186*d**3 + 99*d**2 to the form b*d + g + s*d**3 + f*d**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7*-1.99.\nAnswer: -3.383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8241 - -0.4?\nAnswer: 8241.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 785.9, 0.6, -1\/3.\nAnswer: -1\/3, 0.6, 785.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 125863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 11. Let z be (-1 + c)\/(4 + -2). Let t be 1 + -2 + (-1 - -1). Which is bigger: t or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t + 34 = -2*t, 19*r - 5*r = 9*r - 4*t + 27 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2. Let o(d) = 1. Let b(s) = -j(s) - 3*o(s). Let g(w) = w**2 + w + 2. Let h = 346 + -348. What is h*b(a) - g(a)?\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**3 - 159*l**2 + 647*l + 5. What is f(27)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21504 (base 6) in base 2?\nAnswer: 101110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55422 - 2?\nAnswer: -55424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**6\/60 + s**5\/6 + s**4\/3 - 34*s**2. Factor m(y).\nAnswer: 2*y*(y + 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6347 = 24*v - 2*v + 5577 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 + 55*s**2 + 45*s + 417. Give z(-27).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -63*v**3 + 49*v**2. Let m(q) = 4*q**3 - 3*q**2. Let y = -637 - -634. Determine y*c(s) - 49*m(s).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 34, 60, 86?\n\"Answer: 26*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 5214541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35*g**2*o - 2*g**2 + 13*g + 472*o + 5 wrt g?\nAnswer: 70*g*o - 4*g + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*o + 5*i, -4 = -o - i + 3*i. Let z(c) = 11*c**3 - 3*c**2 + 2. Let r be z(o). Calculate the highest common divisor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/1260 and 91\/4795425.\nAnswer: 134271900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 45*m**2 - 33*m - 3. Let u(x) = 11*x**2 + 31*x + 62. Let n be u(-2). Let v be y(n). What is the greatest common factor of 26 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*f + 163*f - 40940*f**3.\nAnswer: -40940*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v + 7. Let y(t) = t - 2. Let w(g) = -o(g) - 5*y(g). Let i = 16 + -67. Let u be (-1*1)\/((-17)\/i). What is w(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42302 is divided by 1032.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (216\/(-21))\/6.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11783574?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/19, 518\/5, -5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*a - 6173664 = -6159712 for a.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 12) to base 8\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2361, 2300, 2239, 2178?\n\"Answer: -61*c + 2422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 2. Suppose -2*g + 8 + 2 = -5*f, v = 3*g - 2*f. Which is the nearest to 0? (a) 1\/5 (b) g (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 238, 235, 220, 193?\n\"Answer: -6*r**2 + 15*r + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 2*h - h)*(3*h - 4*h - h) + h - h + 4*h**2 + (-1 + 1 + 2*h)*(-h + 2*h - 5*h) to the form t + m*h + r*h**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -2*n**3\/9 + 116*n**2\/3 - 589. Suppose g(w) = 0. Calculate w.\nAnswer: 0, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y. Let x(q) = 1471 - 46*q - 1471. Give w(x(h)).\nAnswer: -138*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183.33849 minutes to hours.\nAnswer: 3.0556415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-293139)\/1197 + 4\/(-38). Let u be 1\/3 + (-3504)\/9. Let b = l - u. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, 0.1, 5 in descending order.\nAnswer: 5, 1, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 + 130. Is a at most 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/172 and 75\/688.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 497790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + x + 4. Let t be j(0). Suppose 5*w = -6 - t. Sort -1, w, -3.\nAnswer: -3, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 635235 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrqqgmqrgrb. What is prob of picking 1 b, 1 q, and 2 g?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*a = -7628 + 1949, 1863 = c + 5*a. List the prime factors of c.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 2)*(-1 + 1 + 2)*(-10*s - 243*s + 83*s) to the form o + r*s and give r.\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -399*c + 133*c + 137*c + 129*c + 6*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108217526.\nAnswer: 2, 37, 1462399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (300\/(-2775))\/((-38)\/37)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1283595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, s: 4, x: 2}. What is prob of picking 3 s and 1 a?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 4)*(4 - 4 + 2)*(-2*i + 0*i - i + (0*i - 2*i + 3*i)*(-1 + 1 - 1)).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 598 != 599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 2*t + 14. Let z be x(5). Let n be -2*(15\/(-6) - z). Solve q - 8 = -n*w, -5*q = w - 0*q + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*a + 4, 0 = -8*a + 3*a - 5*t. Let f be (-3 - -5)\/((-8)\/(-20)). Put f, -3\/4, -0.3, a in descending order.\nAnswer: f, -0.3, -3\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 672*w**2 + 8069*w - 63. Calculate j(-12).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 946986 is divided by 18560.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 223 - 223.2. Let d = 6.5 - -3.5. Let w = -9.9 + d. Which is the closest to -0.1? (a) w (b) -2.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-96)\/1*(-1)\/2. Let h = 2 - -4. Calculate the highest common factor of h and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -14. Let j be 3*h\/6*-2. Solve 2*w = -1 + j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-16 - -1))*1\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 96934? (a) 0.5 (b) -3 (c) -0.046 (d) 2 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 13 = 2*j - 7, 4*j + 5*f - 58 = 0. What is the remainder when 1019 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/7287?\nAnswer: 1\/7287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103428 divided by 126.\nAnswer: -5746\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (-14)\/(-4))*-2. Is (-142)\/(-3) - 1\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 401 divide 766299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1595 divide 25898015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -12*n + 0 + 7\/8*n**4 - 6*n**3 - 2*n**2. Differentiate u(s) with respect to s.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000000000100 (base 2) in base 13?\nAnswer: -75c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -313 (b) 0.1 (c) -0.4 (d) -29 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tizooddodod. Give prob of picking 2 o and 1 d.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 4. Let g be q(0). Suppose 0 = g*y - 2*s + 6, y - 9 = -4*y - 3*s. Let o = -327\/4 + 81. Which is the smallest value? (a) o (b) 0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 14393*p + 1720*p - 2 + 2.\nAnswer: p**2 - 12673*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5676584.\nAnswer: 2, 23, 30851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -47.0355?\nAnswer: 47.1355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7413*c + 6 = -7407*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6 = 2*x, j + 18 = 4*j - x. Let a = -9 + 29. What is the remainder when j\/10 - (-374)\/10 is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2621*b**5 - 2834*b.\nAnswer: 52420*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-3 - (-9 - -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 25 = 5*v, -4*p + 4*v + 20 = -v. Which is the nearest to 5? (a) 2\/3 (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 10*b - 517 = 2*b - 1979 for b.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 474*(-8)\/32*2\/1. Let t = -124 - j. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 8\/9 - -1. Which is the biggest value? (a) 1 (b) 2 (c) o (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45747.\nAnswer: 3, 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-120 - 46*d + 120)*(-5*d + 3*d + d) - 4*d**2 + 4*d**2 - 2*d**2 + d**2 - 4*d**2 + 5*d**2 + (0 - d + 0)*(-2 + 2 - d).\nAnswer: 47*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/67537592 and 97\/16.\nAnswer: 135075184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002600762 rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17 - -5) + (-1 - -16). Solve a = -a - t*p + 3, 0 = 4*a - 2*p + 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/3 - 8*s**2 + 24*s.\nAnswer: 2*s*(s - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 - -81. Let b(h) = 2*h**2 + 89*h + 93. Let l be b(-44). Suppose 5*p - m = l. What is the highest common divisor of p and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 2601227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 5*i**2 - 9*i + 5. Determine h(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/21 - 6\/18. Let g be (2 - (8 - 2)) + 2. Let o be (-2)\/(-3) + g\/(-6). Which is the closest to 0? (a) 0.5 (b) o (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63929001 to the nearest integer?\nAnswer: 7996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 1:31 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7410 and 18240?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k**2 + 38*k**2 + 64*k**4 + 231*k - 81*k**2 + 35*k**2 wrt k?\nAnswer: 768*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -158\/51?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmvvmmm. What is prob of sequence mmm?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 975, 4047, 9015, 15753, 24135, 34035, 45327?\nAnswer: 57885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365.0384l to millilitres.\nAnswer: 365038.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -198, -346, -536, -768?\nAnswer: -1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 11*h**2 + 8*h - 26. Give c(9).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, h: 1}. Give prob of sequence xxh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41828474 less than 13?\nAnswer: 13.41828474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 7. Let t = 19 + -12. What is the units digit of u(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102804.37 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(153) + 4 + (sqrt(1088) - sqrt(1088)*-2) + (sqrt(153) + sqrt(153)*-1)\/sqrt(9)) + -1)**2.\nAnswer: 2592*sqrt(17) + 111793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 3*f + 26. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/15 - 1496*q\/15 + 55720\/3 = 0 for q.\nAnswer: 350, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000060459 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2519576 + 0.252. What is h rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + 1101110000?\nAnswer: 1101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = v - 3*v. What are the prime factors of 155\/(-30) - -5 - 1670\/v?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 504 = -161. What are the prime factors of c?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15346.14624 times -0.3\nAnswer: -4603.843872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10910*h**2*y**2 + 31*h**2*y + 2*h*y**2 + h*y + 2*y**2 + y + 91 wrt h?\nAnswer: 21820*y**2 + 62*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9599 + -9596. What is the second biggest value in -0.07, -1\/4, l?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(6\/(-18))\/(3\/27)*-4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2981*z - 1 + 2983*z + 16*z**3 + 0 in the form a*z + s + x*z**3 + v*z**2 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.024? (a) -4 (b) 0.06 (c) -0.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 108 = -12*t. Calculate the lowest common multiple of t and 26.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 351*u - 16524.\nAnswer: 3*(u - 36)*(u + 153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**5\/30 - u**4\/24 - 3*u**2. Is 14 a factor of y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 65 = -3*u. Suppose 0 = -5*r - 0*r - s - 117, 4*s = -3*r - 77. Let p = u - r. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cooofotoifffottiio. Give prob of sequence iotf.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 5733\/14594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*i**3*v**2 - 2*i**3 - 6*i*v**2 - 6*i*v wrt i?\nAnswer: 252*i*v**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 44.5. What is the closest to -2\/3 in i, -0.4, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 675 = -4*o - 12*o + 5*u, -5*o + 5*u + 125 = 0 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 - 2*q**4 - 2*q**4 + (q - 1 + 1)*(2*q - q**3 - 2*q) - 36010*q**4 + 3*q**2 + 35897*q**4 - q**2.\nAnswer: -116*q**4 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5319.84 - 5284.0671. Let d = 0.0229 - l. Round d to 0 dps.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36.95000058152 + 36.95. Round i to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 83578?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54077576 by -201782.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*y - 1331 = 26389 for y.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 133298573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 912a + 0?\nAnswer: 912a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1022 = -93*t - 122*t - 3387 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 845215 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4164*s - 20841. Determine n(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + h + 1 = 0, -4*d - h = -2*d + 3. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(68) + 0)**2*-2 + (sqrt(187) + 2*sqrt(187)*5 + sqrt(187))\/(sqrt(176)*2 - sqrt(176) - sqrt(176) - sqrt(176) - sqrt(176)).\nAnswer: -136 - 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119708 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 645997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*y - 154*y + 837 = 44*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*t - 2*i - 882, 2*i - 80 = 51207*t - 51204*t for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 - 3*j + 5. Let u(n) = -6*n**2 + 2*n - 3 + 1 + 3*n**2 - 4. Let w(s) = -6*k(s) - 5*u(s). Find the second derivative of w(d) wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20602, 22265, 23928, 25591, 27254, 28917?\nAnswer: 30580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from {u: 3, g: 7, e: 1, f: 1}.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160922?\nAnswer: 2, 17, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4301\/20 + -215. Let x(k) be the second derivative of 0*k**3 + 0*k**4 + 0 - 2*k**2 + b*k**5 - 3*k. Differentiate x(c) with respect to c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3647?\nAnswer: 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -483*s**2 + 581*s + 6. Let x(v) = 1936*v**2 - 2324*v - 25. Let i(p) = 25*a(p) + 6*x(p). Find the second derivative of i(g) wrt g.\nAnswer: -918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -49. Let c be (0 + 2)\/(r\/(-147)). List the prime factors of (5\/((-70)\/c))\/(2\/44).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 22921 = 15*j + b, -2*j = -5*b - 45842. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158614043 and 622?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 14\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-44)\/8*2. Let b = 14 - c. Suppose -2*s + 16 + 1 = -q, -3*s + 26 = -2*q. Solve 7*j + s = b*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 1.3. Let i = s + 0.1. Suppose -30*w = -246872 + 246812. What is the nearest to -1 in w, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -83519a?\nAnswer: -8351a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 961 + -935. Which is the third smallest value? (a) 3 (b) 3\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) 1 (c) -2\/667 (d) -5 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 3\/5 (c) -15 (d) -2\/25 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 474749366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 - 15*d + 4. What is q(-11)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*o**3 - 6728307 + 6728307.\nAnswer: 206*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 35 = -2*j. Let o(p) = 3*p**2 + 46*p - 14. Let b(d) = d**2 + 15*d - 3. Let h(r) = -7*b(r) + 2*o(r). List the prime factors of h(j).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - (30 + -4))*2\/(-4). Suppose 6 = w*n - 26. Solve n = 2*i - i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 24 = 2*o, -k + 48 = 5*o + k. Suppose -j = -5*j + o. Find the first derivative of -6*f + j + 3*f + 0 wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/4)\/(41\/164)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i**2 + i + 5. Let n be -8*6\/(-12) + 1 + -3. Let d(j) = n*j - 8*j**2 + 8*j + 5*j - 13*j - 5*j**2 + 9. Calculate 5*b(z) - 3*d(z).\nAnswer: 4*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2068 or -2065?\nAnswer: -2065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 - 37*g**2 + 81*g - 59. Is t(-40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/10089 and 103\/12.\nAnswer: 40356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 8*v**2 - 2*v + 5. Suppose 0 = 36*o - 4245 + 65517. Let z be (-2)\/9 + o\/(-207). Give w(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 12*h**2 + 13*h + 2. Let a be n(-13). Suppose -y - 2 = -3*y - 2*g, 0 = 2*g + a. Solve -y*v + 2 = -0*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2682 (base 14) in base 13?\nAnswer: -3115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - v = v - 8, 5*v - 8 = -4*b. Suppose 5*k - 8 = g, 3*g + 4 = 4*k + b. Let p(t) = -t**3 + 6 + 0*t**3 - 3*t**2 + 2*t - 2*t**3 + g*t**3. What is p(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -266\/23 bigger than 28296\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k*o**2*t - k*o**2 - 412*k*o*t*u - 6*k*o*u - 19*k*u wrt t?\nAnswer: 2*k*o**2 - 412*k*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 28\/24 + -8 + (-150)\/(-18)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -6*r. Let b(o) be the second derivative of -o**4\/12 + o**3\/6 + 3*o**2 - 26*o. What is b(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/7)*q**6)\/(q*q\/(q*q\/q**2)*q\/q**(-2\/25)*q) assuming q is positive.\nAnswer: q**(561\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 236 = 2*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*j - 18, 2*i + i + 3*j = 36. What is the remainder when 17 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b, 0 = -4*s - 3*b - 0*b + 6612. Suppose -14389 + s = -4*t. Let x = -18953\/6 + t. What is the common denominator of x and -7\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 7*m**2 - 6*m - 3. Let l be a(5). What is the tens digit of (l\/4 - 3)*56 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252, -1011, -2278, -4053, -6336, -9127?\nAnswer: -12426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-49088635\nAnswer: 14726590.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -3*c**5\/20 + 41*c**4\/12 - 5*c**3\/3 - 35*c**2 - 287*c. Let f be q(13). Calculate the greatest common divisor of 184 and f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 + 12*q - 7. Let d be y(5). Find the second derivative of g**d - 16*g - 2*g**3 + 22*g**3 wrt g.\nAnswer: 126*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*h - 6 = 5*h, -3*m = 5*h + 11. Solve o = -5*j - m*o + 20, 4*o = 4*j - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -148*j**5\/5 - 97*j**4\/4 + j**2 - 671*j + 2. What is the third derivative of o(f) wrt f?\nAnswer: -3552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*l + 13, 0 = 3*l - 3*q - 0*q + 6. Let t(u) = -u - 1. Let f(d) = -d - 26. Let k(v) = -7*v - 157. Let h(o) = 6*f(o) - k(o). What is l*h(w) - 2*t(w)?\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 2187680*c.\nAnswer: 5*c*(c - 437536)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 106.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4\/8 - 3*c**3\/4 - c**2\/8 + 3*c\/4 = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*r + 2)*(0*r + 17*r**2 + 0*r) + (-4 + 4 - r**2)*(3*r - 9*r + r) + (4 - 2 + 0)*(0*r**3 + 5*r**3 - 4*r**3).\nAnswer: -27*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 1391, -11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4783*o**2. Let r(i) = -26*i. What is f(r(g))?\nAnswer: 3233308*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3758388 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnzzzznzzzznznznn. Give prob of picking 3 z.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (66\/22*1\/(-27))\/(1\/(-3)). Let f(r) be the first derivative of -5 + y*r**3 - 4*r - 3\/2*r**2. Give f(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**5\/4 - 21*b**4\/4 + 27*b**3\/2 - 15*b**2 + 6*b.\nAnswer: 3*b*(b - 2)**3*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 522 + -459. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*s + 169*s = -261*s + 526 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -13*n**4\/6 + 14*n**3\/3 + 37*n - 30. Let f(m) be the first derivative of p(m). What is the second derivative of f(v) wrt v?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) 2\/5 (c) -4 (d) 5 (e) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -492343, -492337, -492325, -492307?\nAnswer: -492283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3))**(32\/3)*((m\/(m*(m\/m**(-1))\/m*m)*m)\/m)**48*((m*m**(-2\/3)*m*m)**(-7\/5))**23 assuming m is positive.\nAnswer: m**(-7381\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**5 - 24*p**4 - 48*p**3 - 32*p**2.\nAnswer: -4*p**2*(p + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 (base 6) in base 5?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*m = 421, -3*a + 7*a = -3*m - 1666. What is a rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**5\/80 - z**4\/4 + 29*z**3\/24 + 21*z**2\/4 + 2852*z. What is y in p(y) = 0?\nAnswer: -1, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 13 = 5*w, 2 = -w - 2*u - 7. Let f(v) = 28*v**2 - v. Let r be f(w). Suppose -t = 9 - r. Solve -4*q - o = 19, o - 6*o + t = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 3041313?\nAnswer: -3041310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3597500*g**3 + 3974216.\nAnswer: -10792500*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i + 32 = 0. Suppose -2*v + 7*x - 10 = 4*x, 5*v + x = -25. Let q = v + i. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(363) + -5)**2.\nAnswer: -154*sqrt(3) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -146*b - 276. What is the tens digit of v(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74952?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 2*f + 14*c + 62, -3*f = c + 83. Is 25 a factor of 826\/3 + (3 - (-90)\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p\/(p\/(p\/(p*p\/p**(2\/37)))))\/p))*(p\/(p*p**(3\/5)))\/p*p)**(-34)*(p**12*p*p**(-5\/7))**(-24) assuming p is positive.\nAnswer: p**(-269742\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**3 - 5*v. Let z(f) = f**5 - f**3 + f. Let j(x) = 2*h(x) - 10*z(x). What is the second derivative of j(i) wrt i?\nAnswer: -200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 452*n**3 - 3*n**2 + n. Let y be q(1). Suppose 2*o + 28 = y. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 870, 1699, 2520, 3327, 4114, 4875?\nAnswer: 5604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfgx when four letters picked without replacement from {g: 2, x: 1, f: 1, j: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 609, 4928, 16663, 39522, 77213, 133444, 211923?\n\"Answer: 618*g**3 - 7*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**2 + 705*d = 0.\nAnswer: 0, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*p**2*y + 2*c*p*y + 2*c*p + 116*c*y - 5*c + 26*p**2 + 3*y wrt p.\nAnswer: -2*c*p*y + 2*c*y + 2*c + 52*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4904 and 344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-6)*-4*(-33)\/44.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 35. Suppose 26*q + h = 20*q. Is 12\/(-8) - 6258\/q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.3, 0, 329, 1\/4, -211 in ascending order.\nAnswer: -211, -0.3, 0, 1\/4, 5, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30165554 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(40)*2 + sqrt(10))\/(1*sqrt(288)) + (-3*(sqrt(245)*3 + sqrt(245) + 2))**2)*-1.\nAnswer: -35316 - 12101*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111010000010000 (base 2) in base 15?\nAnswer: 3298e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -9. Let p(y) = 2*y + y**2 + y - 2 - 2*y**m + 2*y. List the prime factors of p(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - y - 15 = -6*u, 5*u - 4*y = 18. Calculate the smallest common multiple of 857 and u.\nAnswer: 5142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2175133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkkkkkkkmkk. What is prob of picking 1 k and 1 m?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -22*m**3 - m**2 - m. Suppose 0 = -12*k + 5*k. Suppose -i - 13 = -t - 2*t, 4*i - 20 = k. What is the remainder when r(-1) is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707190958 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1425*c - 6. Determine v(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000699 is divided by 22743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 4. Let p be z(3). Solve p - 4 = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260 and 1196?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 + 10)\/4 - (8 - (5 + (-918)\/99)).\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*d + 377*d - i - 12 = 0, -2*d = 43*i + 90 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012310 (base 6) in base 8?\nAnswer: 136562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 3. Let v(l) = -l**2 - 13*l + 46. Let b be v(-16). What is m(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/6)\/(4\/(-96)). Let g(s) be the first derivative of 19*s**2 + 2*s - 1 - 5*s**2 - y*s**2. Find the first derivative of g(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 1. Let h(q) = -39*q**2 - 2*q + 14*q + 790 - 778. Let s(p) = -h(p) - 9*i(p). What is the second derivative of s(g) wrt g?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -12)\/(9\/6). Suppose -y*v + 65 = -3*v. Solve -v + 1 = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -326 + -4767?\nAnswer: -5315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-4))\/((-30)\/400). Suppose -5*k - 3*b = 2*b - t, -14 = -k + b. Solve -4*w - 3*u = 20, -2*w - k = -0*u + 4*u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1289 = -5*b - 1269 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-20) - 6\/15) + (-1728)\/(-5376)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 3 - 4\/1. Let l be (i - -4)\/(15 - 3). Let x = -1.427 + 1.527. Which is the closest to x? (a) -5 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1046 + 1049. Factor 2\/3*s**z - 2\/3*s**2 - 4\/3*s + 0.\nAnswer: 2*s*(s - 2)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*n - 8501, -n = -4*u + 13847 - 2501. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 4*k**2 - k. Let c be s(4). Let l be (-122)\/(-8) + 1\/c. Solve 0*h - l = 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194839719895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7*r + 8*r + 5*r. Let a be b(1). What is the second derivative of -a*f**2 + 36*f**2 - 15*f**2 - 9*f wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8419 + b?\nAnswer: 8427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 0.1710906?\nAnswer: -4.8289094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -5*u**7\/14 + 8*u**6\/3 + 1273*u**5\/4 - 10085*u**4\/2 - 22610*u**3\/3 + 10780*u**2 - 11063*u. Let x(g) = 0. Calculate g.\nAnswer: -22, -1, 1\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5658, 5634, 5610, 5586?\n\"Answer: -24*b + 5682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2270025 and 4802895?\nAnswer: 456275025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g - 13. Suppose -3*x = -4*s - 30, -s - s + x = 16. Let q(l) = l + 3. Determine s*q(c) - 2*f(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 25*m + 308 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2174517 to the nearest 1000.\nAnswer: -2175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -515 (b) 0.2 (c) 0.6106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and (-160)\/12*9\/(-2).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -89, -143, -219, -317, -437?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234861 is divided by 699?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*t - 250 = -177 + 522 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.02 (c) -7 (d) -4\/7 (e) -2 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40769310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -878?\nAnswer: -877.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**5\/60 - d**4\/8 - 6*d**2. Let p be r(-3). Suppose 3*f - 4*f + 3*l = -4, 2*f - 2*l - 4 = p. Solve 0 = -y - f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4175 + -4144 - (59 + -1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 51*u**2 - 2294*u - 40. Give s(45).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27604, 29469, 31336, 33205?\nAnswer: 35076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -74. Suppose -6*b = -2*b - v. What is the second derivative of -14*h + 13*h - 10*h + b*h**3 wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 918, 853, 784, 711, 634, 553?\n\"Answer: -2*x**2 - 59*x + 979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (133*(-1 - (0 - 2)))\/1. Suppose 12 = -4*s, -5*y + 0*s + a = 4*s. Let j be ((-73544)\/240)\/y - (-1)\/6. Which is bigger: j or -11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -17. Solve o = q*o - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 954405396 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255926 is divided by 1818.\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15327 or 15315?\nAnswer: 15315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.27236 - 1.27236. Let q = -3 + 2.3. Which is the closest to v? (a) 1 (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -127.6507 and -0.4.\nAnswer: -128.0507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4069653833?\nAnswer: 7, 19, 23, 449, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136 less than 20343?\nAnswer: 19207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03479488 rounded to four dps?\nAnswer: 0.0348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -2418\nAnswer: 169.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1484 is divided by 147?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i, 0 = 4*s + s + i - 32. What is the common denominator of -101\/398 and ((-38)\/4 - 5)\/((-20)\/s)?\nAnswer: 3980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 244 = -5*a - 2*c, 4*a + c = 193. Let b = -8968 + 8968. Put a, b, -3 in decreasing order.\nAnswer: a, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214988.\nAnswer: 2, 71, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -5 (b) -11 (c) -0.4 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (417\/5)\/((-113)\/(-565)) is divided by 116.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1285648 is divided by 661.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + 23*g + 18. Determine d(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.24 + -5.48. Let s = -10.824 + -0.076. Let z = s - x. What is z rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10577808 and 93177.\nAnswer: 4437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 547 = 6*g - 257. What is the remainder when g is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/(-55))\/(1*(-3)\/300*-10).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 12*x + 22 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**5\/7 - 7898*r**4\/7 - 7894*r**3\/7 + 7898*r**2\/7 + 1128*r = 0.\nAnswer: -3948, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -727, -1460, -2205, -2968, -3755, -4572, -5425, -6320?\nAnswer: -7263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 10 = 5*a, -131*a + 136*a - v = 22. Solve 3 = a*h - 3*q, 14 - 12 = 3*h - 2*q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12697 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(1700)))**2.\nAnswer: 180*sqrt(17) + 15309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -366 + 368. Suppose -j + 2*j + 363 = p*k, 4*k = -2*j + 730. What are the prime factors of k?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 - -16.6. Let d = 1743379823.00000017 - 1743379805. Let u = d - g. Round u to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1 + sqrt(2))*-1)**2 - ((sqrt(2) - (sqrt(36)\/sqrt(2))\/sqrt(9)) + sqrt(8) + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 111030164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -236 + 240. Let r(a) = 40*a + 73. List the prime factors of r(t).\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7033 rounded to 2 dps?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p - 35. Let b be q(14). Suppose -b*r - 12 = 37. Let s(l) = -9*l + 7. Let x(t) = -5*t + 3. Give r*x(o) + 4*s(o).\nAnswer: -o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.267 less than 0.026?\nAnswer: 0.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 23\/((-230)\/(-3))*(-5)\/2\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) + sqrt(19) + sqrt(19)*-1)) + 3 + 2*(sqrt(19) + 1 - sqrt(19)) + sqrt(304) + sqrt(304) + 3 + sqrt(304)*-1)**2.\nAnswer: 64*sqrt(19) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1040 and 155740052.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.109 (b) 3\/4 (c) 5 (d) 6\/19 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4 + 1712370*u**3 + 244513539075*u**2 + 46411220295000*u + 2203799136750000 = 0.\nAnswer: -285300, -95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 107845*x - 184609110.\nAnswer: 5*(x - 23163)*(x + 1594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 1. Let h be l(3). Let n be (19\/4)\/(16\/64). Let s = n - h. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Suppose 0*b + 175 = 5*b + 5*t, -3*b + g*t = -95. Suppose -4*q + 0 = 3*l - b, -3*q = l - 26. What is the remainder when 16 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -186 - -83. Let n = s + 100. Let v be (-55)\/(-88) - (-1)\/(-8). What is the nearest to 0.6 in -1, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -207*f**4 - 3*f**3 + 3*f**2 - 991*f + 3. Let n(s) = -s**4 + s**3 - s**2 - 1. Let c(t) = -3*n(t) - r(t). Find the second derivative of c(y) wrt y.\nAnswer: 2520*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.101 (b) -2\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = 2. What is the common denominator of -39\/8 and 144\/21 - 3\/f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17607449?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 175994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-160)\/(-20) + 1 + -5. Suppose -29 = -3*j + 1. Calculate the remainder when (-2)\/y + (-231)\/(-6) is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r - 114. Let f be i(39). Suppose 4*g = 3*g + 3. Suppose -3*d + k + 1506 = -d, g*k = f*d - 2253. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -4. Let i = g + -3. Suppose -b - i = -k, k = -4*b - b + 13. Solve 0*x + 10 = b*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22916 divided by 1\nAnswer: -22916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.939 + -0.039. Let y = x - 20.899854. What is y rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**2 + 0*t + 0*t**2 - 4*t - t**3. Let g be u(3). Suppose -3*q - g*s + 21 = -3*s, -4*q + 33 = -s. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -5*d**4\/24 - d**3\/6 - 5*d**2. Let x be k(-1). Let y be ((-4)\/2 + 0)\/(-5). Sort x, -5, y.\nAnswer: -5, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 772346755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**5\/15 + 82*z**4\/3 - 326*z**3\/3 + 10*z**2 + 155*z. Factor p(n).\nAnswer: -4*(n - 163)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6 and -101728305630.\nAnswer: -101728305629.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 10:51 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(44)*3.\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 100000001010111011100?\nAnswer: -100000001010111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 270014 or 33751638\/125?\nAnswer: 270014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 107 + 17 = -g, 114 = 5*o + 2*g. What is the remainder when 84 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 - 91. Let x = d + 405. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344441387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 7*w. Let p(y) be the first derivative of -3*y**2 + 58*y - 1. Let r be p(10). What is the nearest to w in -0.1, r, 0.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-120)\/16)\/(2\/4). Let k be a*((-1)\/3 + 0). Suppose -k*o + 147 = -128. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 9095432?\nAnswer: 18190864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14523 and 309.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 289747 at most 289747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 2*y - 1. Let i be h(3). Suppose i*s + g = 9, -s - g = 4*s - 18. Suppose -s*o = -0*o - 6. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 8:30 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.050979243 - 1575691\nAnswer: -1575690.949020757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*c = -45*c + 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 283 + -251. Calculate the remainder when 413 is divided by p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 118*i + 5585. Give g(-47).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 32*x**2 + 124*x + 1. Calculate the remainder when 125 is divided by g(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 479245?\nAnswer: 1437735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 5, -1 in descending order.\nAnswer: 5, 0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -13. Let v = -951 - -8563\/9. Put u, 0.1, v, 0.25 in increasing order.\nAnswer: u, 0.1, 0.25, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-23)\/(-5) + (-6)\/10. Factor -6*p**4 + 3*p**4 - 12*p**3 + 33*p**2 - 18*p + 0*p**l.\nAnswer: -3*p*(p - 1)**2*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 3. What is the third smallest value in d, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q + 3*d - 21 = 0, 0 = -5*q - 2*d - 28. Put 3, q, -1, 4 in increasing order.\nAnswer: q, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**4\/12 - 3*o**2. Let t(p) be the first derivative of 0*p - 6 - 1\/2*p**2. Calculate u(t(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 227768290*f**3 - 2*f - 3111906?\nAnswer: 1366609740*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*((s\/s**(1\/2))\/s)\/s*s*s*s)**(-26\/3)*(s\/(s*s*((s*s**(-1))\/s)\/s*s))**(-2\/17)*((s*s**(-2\/5))**(-4\/13))**(-2\/45) assuming s is positive.\nAnswer: s**(-7039\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 489. Suppose -5*j + h = -247. Suppose j - 26 = 2*n. What is the highest common divisor of n and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0, -5, -296 in increasing order.\nAnswer: -296, -5, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2102 + 10?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6322910933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 19 - 13 = 0. Let m(x) = -x**3 - 8*x**2 - 3*x - 6. What is the smallest common multiple of 6 and m(u)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3 - 5. Let j = -916 - -1829\/2. Sort m, 2\/7, j in decreasing order.\nAnswer: m, 2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*b**6*o - 16560*b**6 - b**2 - 332852*b*o wrt b.\nAnswer: -5040*b**3*o - 1987200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 16*n = -32 - 16, 0 = -4*b + 2*b - 189*n + 193*n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/35 + (4793002\/70490 - 68)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -10, -26?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 813 + -397. Suppose m + 2*f = 142, 0*m + 4*f - i = -3*m. Calculate the greatest common factor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18059266031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82620 is divided by 340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4674019, 4674039, 4674059, 4674079?\nAnswer: 4674099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 9334.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03313 take away 577646940.18?\nAnswer: -577646940.14687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 444?\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 323313, 323382, 323449, 323514, 323577?\nAnswer: 323638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 = f, -7*h - 5 = -3*f - 12*h. Factor f - y**3 + 1\/3*y**4 + y**2 - 1\/3*y.\nAnswer: y*(y - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 + 3*n**2 - 58 + 12 + 13.\nAnswer: 3*n**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 2. Let a = 21 - 27. Let c be (a\/(-20))\/(3\/2). Put -4, l, c in descending order.\nAnswer: l, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 74 + 27*i - 28*i - 101.\nAnswer: -i - 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322 + -340 + (6 - -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 164 + -163.9951. What is i rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66133.\nAnswer: 41, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 26692006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17304663?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -165055410 divided by 26\nAnswer: -6348285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 9*n - 69. Let g be r(9). Let d(c) = -c - 6. Let w be d(-7). Solve -3*a = -o - g - 1, -3*o + a = -w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 102650762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 3*s - 14. Let i(t) = -t**2 - 5*t + 14. Let n(w) = -5*i(w) - 4*j(w). What are the prime factors of n(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**4\/24 + l**3\/6 + 22*l**2. Let v(b) = -2*b + b - 3*b + 8. Let p(m) = -8*u(m) + v(m). Let w(z) = 2*z. Determine p(w(d)).\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2200 - 1572*z - 1101 - 1099 + (0*z - 2*z + 3*z)*(-2 + 3 + 0).\nAnswer: -1571*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 2508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -5*u - 42, -4*r = -224*u + 216*u + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 274*l - 4105. Let r be n(15). Put -1, -4, 175, r in decreasing order.\nAnswer: 175, r, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -24065?\nAnswer: 96260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 + 3 = 7*p + 8. Let q be 4\/14 - 1046\/(-14). Let z = q - p. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/490*3*1?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 2745.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/30)\/(4\/(-30)*-3)*-11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1596, -2, 312 in ascending order.\nAnswer: -1596, -2, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + 3. Suppose 5*d - 45 = r. Suppose -3*b + 4 + 8 = 0. What is the greatest common factor of d and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 67 - 13 = 0. Let q(m) = 90*m + 16. What are the prime factors of q(i)?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000320308995 to seven dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 57?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -8\/5*w**3 + 0*w + 0 - 9\/10*w**4 + 1\/40*w**6 - 59*w**2 + 3\/25*w**5. Factor s(o).\nAnswer: 3*(o - 2)*(o + 4)*(5*o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50\/3463 + 515800\/252799. Which is bigger: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18115 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(4 - 6 - 2)*(-1 - 3 + 6)*(5*k**2 + 4 - 4).\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 2*a - 4. Let m be u(-3). Let g(h) be the third derivative of -h**5\/4 - h**4\/24 - h**3\/6 + 2*h**2. Calculate g(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - b - 40. Let z be g(8). Solve z = -28*j + 24*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10962*l = -10740*l + 23822 - 4952 for l.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-58)\/18 - (-6)\/27. Let a be (-4)\/(-12) - (-1)\/(-3). Sort a, -1, d in ascending order.\nAnswer: d, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (-3 - 18\/(-6)). Let n = -0.2 - -0.1. What is the closest to -0.1 in n, u, -9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 3*w**2 - 7*w + 8. Let h be j(4). Let n(t) = -5*t - 15. Let l be n(h). Solve -f = -l*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.32936um in centimeters?\nAnswer: 0.002132936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from fcrocffrfrrccfrrro.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (360*5)\/(-7 - (-6400791)\/914400). Round b to the nearest 1000000.\nAnswer: -183000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69412 and 99160.\nAnswer: 694120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b07 + 84c?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**2 + 32*m + 2. What is k(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 285, 452, 629, 816, 1013, 1220?\nAnswer: 1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 404070165, 404070166, 404070167, 404070168, 404070169, 404070170?\nAnswer: 404070171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -172410327*k**2 - 70404765?\nAnswer: -344820654*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*m**2 + 81 - 81)*(-3 - 4 + 2)*(-13*m - 3*m - 6*m).\nAnswer: 2750*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + -176 + (-4 - -7). Let p = y + 99. What is the units digit of (7\/(-3) - -1)*p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-32)\/18)\/8 - 1201\/(-5526). Let n = 1982\/2763 - y. Find the common denominator of -1\/84 and n.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -73932631*v**2. Let c(d) = -29*d. Calculate c(l(w)).\nAnswer: 2144046299*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2222620884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 1\/630*o**7 - 1\/180*o**6 - 1\/90*o**5 + 1\/72*o**4 - 2*o**2 + 1\/18*o**3 + 1\/1008*o**8 + 0*o + 0. Factor r(b).\nAnswer: (b - 1)**2*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b + 4*b + 2*b)*(-15016 + 15016 - 68*b**2 - 2*b) to the form d*b + q*b**3 + j*b**2 + w and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*16\/(-170) + (-58)\/(-493). Solve r*m**2 + 0 + 2\/5*m = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 54. Determine b(10).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 2550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106 or 316\/3?\nAnswer: 316\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 183210*l**5 + 241*l**2 + 8*l - 30?\nAnswer: 10992600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 7*c = -30. Suppose d - i = -2*i + c, 3*d + 2*i = 13. Let s(v) = 4*v. Determine s(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.7 + 3.3. Let o = y + -22. Let i = 0.5 + -0.1. What is the closest to -1 in 0.5, i, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -1014?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -135593.32173 plus 0.7519?\nAnswer: -135592.56983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.7906 + 0.2094. Which is the second biggest value? (a) r (b) -5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4199382, -8398762, -12598142?\n\"Answer: -4199380*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -116.7266+10300\nAnswer: 10183.2734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16521403 is divided by 617.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -10. Let n(a) = -2*a - 8. Let w be n(-6). Suppose -s - 20 = -w*y. Solve -4*m = -m - y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c + 3?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 20 + 4 = 0. Suppose -2*j = -5*j + 18. What is the least common multiple of 6*2 + j\/(-6) and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/11 (b) 0.1 (c) -3\/2 (d) -155 (e) 0.4 (f) 3 (g) 3\/40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2568?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*q**2 - 193*q + 14119 wrt q?\nAnswer: 32*q - 193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2375 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuvvuuux. Give prob of picking 3 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 + 2*y**4 + 0*y**4)*(-51*y + 34 - 34).\nAnswer: -204*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 220*k - 208*k. Let h = k + 3. Solve h = c - 4*c - 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111*f**2 + 65*f?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*28\/6*-30*(-50)\/1000?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/5)\/2*5. Factor -7\/4*u**3 - 4*u**q - 11\/4*u - 1\/2.\nAnswer: -(u + 1)**2*(7*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 1\/5 (c) 3\/2 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -48*f + 5. Let n(m) = -22*m**2 - 32*m - 16. Let a(c) = 4*c**2 + 6*c + 3. Let j(g) = -16*a(g) - 3*n(g). What is y(j(o))?\nAnswer: -96*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/3852 - 88657\/234972. Suppose -6*s + 2*s + 2264 = 0. Let v = -2816\/5 + s. What is the common denominator of v and x?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 + 0.42. Let q = 3 - 1. Let z = -1.251 - -0.251. What is the third smallest value in k, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 - -26 - -54 - 44\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 4*i**2 + 3*i + 4. Let j = 9 - -6. Suppose -2*h + 7*h = j. What is k(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11840 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 650 + 646?\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - -9. Let p(v) = -5*v**2 + 12*v - 7. Let l(a) = 6*a**2 - 11*a + 7. Let c(g) = 4*l(g) + 5*p(g). What is the remainder when c(9) is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -447 >= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1612*s - 10636 = 69964 for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 11 = 178. What is the greatest common factor of z and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(2*u**5 + 3*u**5 - 4*u**5) - 13*u**5 + 19*u**5 - 41*u**5.\nAnswer: -37*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from {y: 1, c: 1, f: 5, e: 1, s: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 7 + 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2354 * 35.59.\nAnswer: 8.377886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/7446 and -1\/2847?\nAnswer: 96798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 10 = -102. Let s be 1 + -1 - (-132)\/2. Let d = z - s. Let q(o) = 4*o**3 - 9*o - 13. Let x(j) = j**3 - 2*j - 3. Give d*x(v) - 6*q(v).\nAnswer: 2*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 + 28*z**2 - 68*z + 48. Let s(n) = -2*n**2. Let c(a) = -3*s(a) - y(a). Factor c(p).\nAnswer: 2*(p - 6)*(p - 4)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2040 + 2327. Is n a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 30236866?\nAnswer: 6047373.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.01 - -0.01. Let b = -354 + 354. What is the closest to 1 in -0.5, b, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-14))\/(((-113)\/7910)\/((-3)\/(-15))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -163436273.65 and 0.26?\nAnswer: 163436273.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/14211 - 42617\/113688. Let o be 85\/(-30) + 1\/(-6). What is the biggest value in n, o, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116870063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11023200002 (base 4) to base 15\nAnswer: 1bc4bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369 = -l - l - 3*s, 5*l + 3*s = 909. Let k = 118 + l. Is (3 + (-10)\/4)*k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -14\/2391363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*l + 167 - 116. Let n(b) = -b - 7. Give n(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440325549 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a week in minutes?\nAnswer: 52920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.26 + -0.04. Let n = -0.5 - k. Let q = n + -0.8. What is the closest to -0.1 in -2, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 10*b + 15 = -15*b, 4*s - b = 24 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30155629?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -4 (b) -2 (c) 0.1 (d) 8\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + 0*g - 3*g)*(-2 + 1 + 0)*(-2 - 1 + 0) to m + l*g and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*g**5 - g**3 + 700*g**2 - 9366*g - 26.\nAnswer: -660*g**3 - 6*g + 1400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Let m(c) = -312*c**2 - 143*c - 143. Let w(p) = 13*p**2 + 6*p + 6. Let f(x) = 6*m(x) + 143*w(x). Determine f(z(d)).\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35890 not equal to 35888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -164*g - 169*g + 335*g. Suppose -4*q + 6*q + 38 = 5*h, h - 7 = q. Let v(s) = 3*s**2 - h*s**2 - 3*s**2 - s**2. What is t(v(d))?\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -238.6 + 259.059. Round g to 1 dp.\nAnswer: 20.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144)*2 + sqrt(144))*-4 + (sqrt(144) + (sqrt(144)*-2 - sqrt(144)) - sqrt(144))*5)\/(sqrt(88)\/(1*sqrt(99))))**2.\nAnswer: 118098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*k - 60*k + 45. What is the second derivative of -k + 8 - 4 + 16*h**2 + 7*h - 6 - 6*h wrt h?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 22 = 9*c. Suppose -c*h = -34069 - 35638. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*x + 19*x**2 + 21*x)*(-x**2 - 2*x + 2*x).\nAnswer: -19*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1549, -3099, -4647, -6193, -7737, -9279?\nAnswer: -10819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 179041405 to the nearest integer?\nAnswer: 13381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**5 - 5163300*c**4 + 20*c**2 - 256985.\nAnswer: -180*c**2 - 123919200*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 10 = 0, 0 = -11*z + 6*z + 4*z - 2*t + 6 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -10*t + 13*t. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 - 3*k - 2. What is p(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/11 and 1*(-2)\/10 + 9954\/43695.\nAnswer: 10681","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Suppose -18 = o*f - 58. Suppose -4*k - 4 + f = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*i - 3*i - 2*i + 3*i - 5*i - 3*i + (0 - 3 + 4)*(-3*i + 0*i + i) as b*i + z and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j + 3*j**2 - 5*j)*(35*j + 46 - 46) + j**3 + 2*j**2 - 2*j + 3*j**2 + 0*j**3 in the form p + v*j**3 + l*j**2 + z*j and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l**2 + 61*l + 36. Let q be h(8). Solve -5*s = 2*b - q - 15, 0 = -b - 4 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**5\/60 - v**4\/4 - 7*v**3\/6 - 2*v**2. What are the prime factors of z(12)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b - 11. Let o be s(10). Let p be (o - (-4 + 7)) + -4. What is the highest common divisor of p and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9478.945 + 9498. Let w = o - 0.055. Which is the nearest to 0.1? (a) -0.1 (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 23 = 5*n, w + 3*w + n = 8. Let l = 3 + w. Let g = -7781 + 7792. What is the lowest common multiple of l and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qeqqqbqqbqbbqe. What is prob of picking 2 b and 1 e?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/5193156 and -13\/27.\nAnswer: 46738404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126477 and 38493?\nAnswer: 885339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2 + 2*b. Let s(g) = -3*g**2 - 3*g. Let l(r) = -2*s(r) - 3*v(r). Let n = -22 - -23. Give l(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 12*m + 32. Let x be c(-13). Suppose 25 = -2*i + x. What is the hundreds digit of ((-15)\/(-5))\/i + 159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2962 or 1999834\/675?\nAnswer: 1999834\/675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3187.787ug?\nAnswer: 0.000000003187787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.72 + -27. Let g = -0.13 + t. Let s = 0.09 - g. Which is the closest to 2\/3? (a) s (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7*x = 15. Suppose 3*b - 4*b + 338 = 3*f, 12 = -4*f. Suppose i = -0*g - x*g + b, 0 = -2*g. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (-11 + 1 - -69).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 4, -24 in decreasing order.\nAnswer: 14, 4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 2:41 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 - (0 - (-2 + 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7487 and -2.2.\nAnswer: 7484.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*x + 6, d - 4*x + 2 + 5 = 0. Let f(u) = -5*u - 4. What is f(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 8. Let v be g(7). Solve v + 3 = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 3*t**2. Let p(i) = -5*i**3 + 4*i**2 - 2*i + 1. Give -2*g(o) - p(o).\nAnswer: 3*o**3 + 2*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*v + 9*v - 7*v + (2*v - 1 + 1)*(-8 + 32 - 8) to the form j*v + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 455 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9347, 9341, 9333, 9323, 9311?\n\"Answer: -d**2 - 3*d + 9351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 10)*(3 - 2*j**3 - 3)*(2*j + 20*j - 10*j).\nAnswer: 192*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 222 + -227. What is the remainder when 3 is divided by 1 - (-7 - (0 + s))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -55*v**4 - v**3 + 2*v**2 - 21*v + 3. Let w(c) = -c**4 + c**2 + 1. Let s(p) = l(p) - 3*w(p). Find the third derivative of s(q) wrt q.\nAnswer: -1248*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1057328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -161, -189, -217, -245, -273, -301?\n\"Answer: -28*u - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5706529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2525*g + 5*l - 158 = -2532*g, -3*g = -4*l + 92 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 4991 and 4988 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 <= -341\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-15)*-3 + 7. Let a = i - 10. Let y(s) = 9*s + 2. What is the lowest common multiple of 1 and y(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1735)\/(-1)*4*(-5)\/(-50) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.037 (b) 363.2 (c) 1\/4 (d) 5 (e) -9 (f) -1.5 (g) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, w: 2, e: 2, v: 1, t: 1, r: 3}. Give prob of picking 2 w and 1 t.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/8 + 39*s\/2 - 153\/8.\nAnswer: -3*(s - 51)*(s - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 1:01 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -557046.5 + 557045.8499927. Let w = v - -0.65. Round w to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxxwexoeyexeyexexex. Give prob of picking 2 w and 1 x.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -142085, -568342, -1278779, -2273402, -3552217, -5115230, -6962447?\n\"Answer: -s**3 - 142084*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 14 = 3*q, 2*j + 4 = 4*q + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (49\/2)\/(20\/40). Suppose -s*l + 59*l = 180. What is the remainder when l is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8622)\/((-5 + (-85)\/(-15))*-3)?\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 54*j**2 + 4*j + 4. Suppose -3*x - i + 6 = -0*i, -5*x = 4*i - 10. Suppose -x = 4*a + 2. Does 18 divide n(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -715354?\nAnswer: -715361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1428 - -1426. What is the fifth smallest value in p, 0.4, 4\/25, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1\/4 (c) 11\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -251*t**3 + t**2 - t. Let q be l(1). Let h = q - -421. Calculate the highest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 2*v**2 + 6*v - 5. Let u be j(2). Which is bigger: -3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 5:53 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8*(-2)\/2)\/(1 + 0). Let u be (-3)\/3 - 2 - (y + 0). Solve v + 0*v - u = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.07 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*i**6 - 4*i**3 + 682*i**2 - 2?\nAnswer: -1920*i**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 513706158 to the nearest integer?\nAnswer: 22665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 977*n**6\/6 + 1219*n**3\/3 - n**2 + 5032*n. Find the second derivative of v(l) wrt l.\nAnswer: 58620*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16624, 16622, 16620, 16618, 16616?\nAnswer: 16614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 346 and 1355282.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2150, 4297, 6452, 8621, 10810, 13025?\nAnswer: 15272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 235\/(-259) + 154\/539. Is 1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -20\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -18*w**2 - 19*w + 38. Let d(b) = b**2 - 3*b + 2. Give 5*d(c) - v(c).\nAnswer: 23*c**2 + 4*c - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 6003721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*d**2 - 8 - 18 - 297*d + 157*d + 142*d.\nAnswer: 184*d**2 + 2*d - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 1, a: 3, t: 3, b: 2, e: 2}. Give prob of picking 2 a.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24283626 times 5?\nAnswer: -1.2141813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29\/4 - 12. Let g = z + 5. Which is smaller: g or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977829 is divided by 21252.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10760 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - -1001001100?\nAnswer: 1001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 5*s**2 - 6*s + 9. Calculate x(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -159*f + 155*f. Suppose 8*o = -f*o - 11. Let u(g) = 3*g**2 - g - 1. Let w be u(o). Solve 2 = v + w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29939 and 1875783.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1079 <= -328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + r**2 + 0*r**2)*(4 - 6 + 0) - 370*r + 17*r**2 + 370*r.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -18*a**3 - 272*a**2 - 132*a**2 + 380*a**2. Let b = -4 + 3. Let x(v) = v**3 + v**2. Calculate b*h(z) - 24*x(z).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**2 - 39*k - 60. Let n(o) = -o**2. What is a(n(m))?\nAnswer: 6*m**4 + 39*m**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 10*h**3 + h**2. Let a(f) = -11*f - 221. Let z be a(-20). Calculate t(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)*n**(3\/5)\/n)**(-5\/14) assuming n is positive.\nAnswer: n**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2)**(-10\/9)\/(r**(-2\/5)*r**(2\/9)) assuming r is positive.\nAnswer: r**(-92\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1799107478.\nAnswer: 2, 7, 128507677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2\/3*a**2 - 1\/3*a**3 + 0 - 1\/3*a = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4*o = -61, -23*o + 22*o = -4 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 26. Let i = 188 - 175. Let m = i - d. Solve m = 3*u - u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2590226000 rounded to the nearest one million?\nAnswer: 2590000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 10 + 16 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -112 + 112. Solve 0 = -a*o - 0*o + 8*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, 17, 1, 1\/7, 8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2. Let c(s) = -78*s**2. What is c(f(x))?\nAnswer: -312*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4*a + 14 = -7, -13 = -g - 2*a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9*r. Let h be v(-1). Let c(f) = -f**2 + 8*f + 13. Let u be c(h). Let k be (-6)\/3*-1 - -2. Calculate the highest common factor of k and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/7 + (-4504)\/(-56). Suppose -87*z + y*z = -1624. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 287112600 and 79035?\nAnswer: 3158238600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*1*sqrt(612) + -1 + -1*sqrt(612) + -3 + sqrt(612)*2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.51 (b) -3 (c) 1\/64737\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1074353, -2148716, -3223079, -4297442?\n\"Answer: -1074363*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1916 divide 57238584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -59*m + 1. Let t(x) be the second derivative of -4*x**3\/3 + 127*x - 2. What is g(t(a))?\nAnswer: 472*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 374 + 376 - 745 - 20*r as n + f*r and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 3, -25, 0.\nAnswer: -25, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r - 28. Let w(v) = v - 14. Let m(y) = 12*y - 220. Let z be m(18). What is z*l(i) + 7*w(i)?\nAnswer: -i + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000287702 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1502391 by 27.\nAnswer: 500797\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvjddhjjhrrvrjzvjhrh. Give prob of picking 1 r and 1 v.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 6*k + 5. Let o be h(7). Let m = 1 - o. Suppose -3*y + 12 = -0*y. Solve m = -v + y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k = 9. Suppose 3433 + 3767 = -15*d. Is (d\/k + -3)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b - 22*b + b - 4. Let n be t(-2). Let p = n - 24. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.35 + 0.3. Let z = -4.05 - b. Let n = -1771\/6 - -295. What is the third smallest value in n, -5, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*(7\/3)\/(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 37169*d + 20. Give w(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhfhzhhkh. What is prob of sequence hz?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -966, -3917, -8836, -15723?\n\"Answer: -984*p**2 + p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 228 and 1342.\nAnswer: 152988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1856854718 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**2 - 1. Let p(k) = -k**3 - 6*k**2 - 7*k - 7. Let d be p(-5). Let r be 8\/3 + (-4)\/6. Let i = d - r. Give x(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*p - 12*p + 0*p + p + p - 3*p + (3 - 4 + 0)*(-p - 2*p + 2*p) + 2*p + 2 - 2.\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 27108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*m + m. Let c = m + -11. Let q be ((-18)\/45)\/(6\/(-60)). Solve f - 2*p = 3*f + q, -c = 5*p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -1 - -5) + -26 + (23 - 22)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2923745 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3907283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s**3 - 599*s**2 + 9326*s + 4264 = 0 for s.\nAnswer: -4\/9, 26, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1978 a factor of 293163336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3 (b) 3\/2 (c) 12 (d) -1802\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-218)\/(-2507) - ((3\/(-1))\/3 - (-412)\/(-23))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3917267.\nAnswer: 3917267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from mdpvvddmvlylvmm.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324927901.\nAnswer: 324927901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -59\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 0.10708490485?\nAnswer: 0.60708490485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 14) + 40 + -32 + 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 55*t**2 - 2*t - 79. Let a(g) = -13*g**2 + g + 18. Let q(d) = -17*a(d) - 4*w(d). Let l be 9*(-1 + 0 - -2). What is q(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 + 0*o - 9*o + 5*o in the form b*o + i*o**2 + a and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28431892 + 347*f - 28431892 - 17*f**2 - 5*f**2 + 2*f**2 + f**2 + 3 - 3 - f**2 + (2*f - 2*f + f)*(-1 + 1 - 2*f) - f**2 + 4 - 4 - f**2 - f**2 + 3*f**2.\nAnswer: -22*f**2 + 347*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*l + 1393 + 1883. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2186033578?\nAnswer: 2, 1093016789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -732*a - 7 - 578*a + 9 - 213*a to d + x*a and give x.\nAnswer: -1523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2407419.99 rounded to the nearest 100?\nAnswer: 2407400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)*2 - sqrt(60))\/(6*sqrt(84)\/sqrt(7)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*n + 80*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21\/2, -4 in increasing order.\nAnswer: -21\/2, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 - 5*t + 9. Let v(k) = 3*k**2 - 6*k + 10. Let n(h) = -6*b(h) + 5*v(h). Find the first derivative of n(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -401311 - -130431?\nAnswer: -220330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 162 (b) -1.1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from ohhsooom?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 5:29 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1539) - -1*sqrt(1539))*6*1)**2*5.\nAnswer: 1108078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2 + 110*x - 732 = 0.\nAnswer: -61, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - (sqrt(171) - sqrt(171)*1*6)) + sqrt(171))\/sqrt(9))**2.\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -8 (b) -3 (c) -0.3 (d) -7 (e) -2\/5 (f) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 22*s - 3542400 = 0. What is s rounded to the nearest 10000?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-500)\/(-40))\/(-5)*-4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnn. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s - 237 = -117. Let v = 10 - 6. Suppose 3*d + s*n = d + 12, 0 = -5*d + v*n + 53. Calculate the smallest common multiple of 9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 919544464?\nAnswer: 2, 57471529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 145782 divided by -208?\nAnswer: -5607\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 12:49 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ynnj when four letters picked without replacement from {n: 2, y: 2, j: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x. Suppose 11*t = 16*t - 15. Let k(m) = 6*m**2 - 1. Let n be k(-1). Let u(w) = 0*w - n*w + t*w. Calculate i(u(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from {u: 3, s: 2, l: 1, q: 4, j: 1}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*(sqrt(68) - sqrt(68)*1) + sqrt(68) + sqrt(68))\/sqrt(4).\nAnswer: 2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -272 (b) 2\/15 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 4*q**2 + 6*q + 29. Determine h(7).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -2*y + 39, 8*y - x - 33938309 = -33938300 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1467667377?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068191 greater than or equal to 1068189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-348)\/(-36) - -5).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t + 42. Let w = 65 - t. Suppose 4*r = -5*z + 14 + w, 19 = -2*r + 5*z. Solve c = r*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -466045\/46 - -10132. Let m be (-852)\/(-276) + (-2 - 1). Let j = m - f. What is the smallest value in -1, 1\/9, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/461315 and 15\/6821?\nAnswer: 8764985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 4) to base 6\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 + 1000*r**2 + 4048*r + 4064.\nAnswer: -4*(r - 254)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16a43 (base 12) to base 3.\nAnswer: 1122201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + (-108)\/(-18) + (17 - -1). Let d be 2\/4 - 3\/6. Suppose -5*z - 2*r + 82 = 0, 2*z - 3*z + 3*r + 13 = d. What is the highest common divisor of z and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1.6616195?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12541764 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, y: 1, n: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 >= -542\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 260 - 752. Let n = i + -275. Let o = n - 32. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21841195 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: Let j be (1 - -1) + -1 + 1. Let z = 2 + j. Calculate the remainder when 7 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2567988182?\nAnswer: 2, 37, 613, 56611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 0.3, 1.99 in increasing order.\nAnswer: -0.03, 0.3, 1.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7432908401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-114)\/(-18) - 12\/9. Let a be (-12)\/4 + 2*r. Suppose 170 = a*t - 75. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-10))\/(1\/(-5)). Let k be (-4)\/g - 30\/(-9). Suppose -2*f - 2 + 0 = -4*y, -f - k*y = -29. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 4*c + m, -2*m + 33 = 5*c. Calculate the remainder when 0 + 16 + 0 - 2 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {n: 1, i: 1, u: 1, j: 1, y: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1675599552?\nAnswer: 2, 3, 11, 373, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/4)\/((-3)\/12 + 0\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -9 - (1 + 23 + 476 + -535)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 - -5.60722.\nAnswer: 5.00722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 716 by -2.\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 7*l + 7. Let u(b) = -2*b**2 + 6*b - 6. Let o(x) = 6*p(x) + 7*u(x). Let n(c) = -c - c - 8*c - 11*c. Give o(n(w)).\nAnswer: -882*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 0 - 5\/3*-12. Solve 0 = 59*x - 54*x - p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2048709 by 682903.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**4\/12 + c. Let x = 12 - 8. Let n(a) = 6*a + x - 3 - 1. Determine n(r(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0589890688 to 3 decimal places.\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -225.312 * 2.15.\nAnswer: -484.4208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 5258.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 4\/5) + 49590\/(-450). Sort 0, -1, n in increasing order.\nAnswer: n, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -863, -1681, -2499, -3317?\nAnswer: -4135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, d: 9, t: 2}. Give prob of picking 1 n and 1 d.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110 + 108. Does -78 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 0 + 5*n - 5 + 3. Does 7 divide z(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g**2 + 2*g - 1. Let k be s(2). Let c = -17 - k. Calculate the remainder when 30*(-1 - 0)\/(-2) is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (1 + 2 + sqrt(500))) + sqrt(500) + -2*-2*sqrt(500).\nAnswer: -3 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011011101010 - -100?\nAnswer: -1011011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90176?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c + 2*c - 5*c + (3 - 3 + 2*c)*(0 - 1 + 0) + 4*c - 5*c + 3*c + (-2*c + 0*c - c)*(6 + 6 + 1) to the form v*c + w and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20, -38, -68, -116, -188?\n\"Answer: -i**3 - 11*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -990*t. Let i be m(-1). Suppose i = 3*d - 2835. Let j = d - 166. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -1 (c) 64\/9 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from spusbzob. What is prob of sequence poub?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, u: 2, p: 2}. What is prob of sequence mpu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -51. Let p be b\/63 - (-13)\/(-7). Does 17 divide p - (-237 + -3 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 1. Let x(y) = -4. Let r(u) = 4*x(u) - 12*z(u). Let h be r(1). Suppose 5*w + 5*s - 29 = 3*s, -3*w - 5*s = -25. Sort w, h, -4 in increasing order.\nAnswer: -4, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1795*a - 1696*a - 19395*a - 7133*a.\nAnswer: -26429*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1. Let b = -1915 + 1912. What is the second biggest value in b, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 22*l - 68. Let x be j(-18). Solve -5*o - 6 = x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*u + 17*u - 37*u + 3*u**3 as w*u + p + t*u**3 + s*u**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 2176?\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1159221, 1159177, 1159103, 1158999, 1158865?\n\"Answer: -15*x**2 + x + 1159235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttottntbtttn. What is prob of sequence tno?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1949950 divided by 38999?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c - 20. Suppose 7*a + 23*a = -120. Calculate f(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 505 - 30 + 2*c**2 - 475 - 1836*c as w*c + h + x*c**2 and give w.\nAnswer: -1836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 11*s**2 - 27*s + 5. Let k be f(13). Let n be 1*(-1)\/(-36) + 2\/k. Which is the biggest value? (a) n (b) -0.05 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3329 divide 46559394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2384 is divided by 1167?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7530*z**2 + 22192*z**3 - 12 + 13 + 7532*z**2.\nAnswer: 22192*z**3 + 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h. Let k(s) = -9913 - 126*s - 136*s - 3943 + 397*s - 133*s. What is v(k(f))?\nAnswer: -4*f + 27712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11795948 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 7) + 7 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 739961370 to the nearest integer?\nAnswer: 27202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 196*b + 192.\nAnswer: 4*(b + 1)*(b + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 - 2)*(22*s**3 - s**3 + 12*s**3) - 3 - 12*s - 2*s**3 + 12*s to the form c*s**2 + v + l*s + m*s**3 and give m.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643.658 litres in millilitres?\nAnswer: 1643658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 5*h**5 + 13975*h**4 + 83730*h**3 + 167380*h**2 + 111560*h = 0.\nAnswer: -2789, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -289, 0 in decreasing order.\nAnswer: 4, 0, -6, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/(v**(-1\/6)\/v*v)))\/v)\/v**(-2\/11)*((v*v*v**(5\/6))\/v)**39 assuming v is positive.\nAnswer: v**(2360\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 43. Let s be -4 - (-2 + -2 + j). Suppose -14 = -s*f - x, -5*f + 12 = -3*f + 2*x. Solve -f*l = -l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9263808 rounded to the nearest 10000?\nAnswer: -9260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -238932 by -6.\nAnswer: 39822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - r**2 + 5*r + 3. Let a = 38 + -35. Let l(w) = -w**2 + 2*w**3 - w**a - 2*w**3 - w. Let z(o) = -c(o) - 2*l(o). Determine z(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + 6*(sqrt(78) + sqrt(78)*-2) + -3*sqrt(78)*-2)\/(sqrt(726) + sqrt(726) + (sqrt(726) - sqrt(726)*2)*-4).\nAnswer: sqrt(13)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 488 - 229. Suppose f + f = -5*d + n, 5*d - 137 = -f. Let u = 164 - 122. What is the remainder when f is divided by u?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zoz when three letters picked without replacement from zosz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 107656686853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 d, 1 r, and 1 c when four letters picked without replacement from hiiiiidcciiicriiicch?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335 = -4*o - 15. Suppose 4*b = -0*b + o. What is the remainder when (-4)\/14 + 275\/7 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -154 + 166. What is the remainder when 44 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000299486094 rounded to 7 decimal places?\nAnswer: -0.0002995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 38, 0.4, 17.86?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (448\/(-160))\/(4 - 72\/20). Let o(z) = -z**2 - 11*z - 24. Give o(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1061556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.026, -3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265690 (base 10) to base 14.\nAnswer: 6cb7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skjddkqiqjqkdqj. Give prob of picking 1 q, 1 s, and 1 i.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 93*q**4\/4 - 494*q - 538. Differentiate x(b) with respect to b.\nAnswer: 279*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -35. Let r = 39 + z. Calculate the greatest common divisor of r and 200.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -2 - (395 + -379)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47\/4? (a) 1 (b) 0 (c) 2 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 406977628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.76? (a) -2 (b) -0.1 (c) 2\/3 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 3*u - 11, 4*v - 6*u = -10*u + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1 + 5 = -2*o, -2*g + 6 = -3*o. Let h(z) = 2*z + 20. Let r be h(-6). Let k = g + r. Solve -p - k = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 + 2*o - 2*o)*(0*o + 18*o + 5*o).\nAnswer: -23*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/1)\/(8\/(-1364)). Calculate the highest common divisor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 - 125. Let a = -23 + 28. Suppose -18*l = -a*l. Sort u, 3, l in decreasing order.\nAnswer: 3, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -334, 8, 2, -1, -19 in increasing order.\nAnswer: -334, -19, -1, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -2*x + 3*f + 2, x = f + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-268)\/(-10))\/(-54*(-221)\/29835).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -382097375 divided by -11?\nAnswer: 34736125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.352 to one dp.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6 = p. Let x = 11\/30 - 13\/15. Which is bigger: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -2. Suppose -i - 3*i + 8 = 0. Solve i*f + 9 + v = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*d*i**2 - 1851*d - 26*i**2 + 49329*i + 45046 wrt i.\nAnswer: -10*d*i - 52*i + 49329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 1. Let w(m) = -7*m**2 + 9*m - 44. Let l(i) = 5*h(i) - w(i). Calculate the remainder when 160 is divided by l(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t - 3. Let n be o(-5). Suppose 2*g + 4*a + n = 0, 0*g + g - 9 = a. Suppose -g*l + 3*l = -36. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 25*j**2 - 47*j + 29. Let l be f(23). Suppose 0*o + 2*o = 0. Solve -3*g + l + 0 = o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 7*i**2 - 5*i - 6. Let u be y(6). Put -3, -1, u in descending order.\nAnswer: u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**2\/2 + 1. Let c(g) = 3*g. Let s(y) = 11*y. Let v(i) = -9*c(i) + 2*s(i). Determine v(o(u)).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1425422 - -13?\nAnswer: 1425435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 5, 3\/2, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (-20 + 1 + 59 + -16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174995030 to the nearest integer?\nAnswer: 13229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 5*u**2 - 4*u. Let s = 23 - 15. Suppose -4 = -4*l + s. What is the units digit of o(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k - 2*h = 4, -2*k + 2 = -4*h. Suppose 4*r - k*r = 187. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n + 0*n + 8*n**2 - 7*n**2 + 3*n + 0*n. Let r = -8 - -10. Suppose -2*l = 2*m + r, -2*m = 2*l - m - 2. What is g(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 + 67796 + 64047 = 3303*z - 69561 for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 - 32*g**2 + 125*g - 5. Let u be c(9). Suppose -5*f + 2*f + 192 = 0. Is 15 a factor of (-36)\/(-63) + -13*f\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 557*w + 548*w + 178*w**2 + 513*w - 1618*w.\nAnswer: 178*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(-60) - (-13)\/4. Suppose 2*s - 2*r - b*r = 32, s - 16 = r. Let z(i) = -s*i + 5*i + 4*i + 10*i. Let o(h) = -11*h. Give o(z(x)).\nAnswer: -33*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 111111?\nAnswer: -1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 218*b**2 - 784. Let j(z) = -z. Determine y(j(t)).\nAnswer: 218*t**2 - 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 + 852 = 7*j. Let m = j - 81. Suppose -18*y - 600 = -m*y. Does 30 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3897.5? (a) 0.33 (b) 2\/11 (c) -2\/3 (d) -1 (e) 0.3 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000063469439 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.14252 + 3653040?\nAnswer: 3653041.14252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2003, 1999, 1993, 1985, 1975?\nAnswer: 1963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/365 (b) 4\/7 (c) 10\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*i = 77, 49 = 3*f + 7*i - 2*i. Let n = -9 + f. Solve o - n = 4*o + t, 5*t = 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3 = 3*a - 6, 5 = -4*i + 5*a. Let h(v) = 17*v + 9. Let y(l) = -20*l - 8 + 16*l - 9*l. Let c(u) = -3*h(u) - 4*y(u). What is c(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 29*m + 25*m - 191 = 0, -5*m + 89 = -2*r. Let q = -50 - -142. Let t = r + q. Calculate the greatest common factor of 280 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1322, -1333, -1352, -1379, -1414, -1457, -1508?\n\"Answer: -4*b**2 + b - 1319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17621 - 9607. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 divided by -15?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2220*i*n**3 + 5*i*n**2 - 3*i*n + i - 2*n**3 + 2*n**2 + 1136*n wrt n?\nAnswer: -13320*i*n + 10*i - 12*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + d + 17)*(-d**3 + 2*d - 2*d) + 3*d**3 + 7*d**4 - 3*d**3 in the form s + h*d + o*d**4 + i*d**3 + q*d**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18 (b) -1\/4 (c) 0.4 (d) 10.64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/2 (b) 0 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -149 <= 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/((sqrt(6) - 2*sqrt(6))*-4).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32453*a + 32571*a + 991 = -2549 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s + 496850 - 591722. Does 201 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w - 2*j = -30*w - 22, j = -2*w + 17. Let x(v) = v**3 - 5*v**2 + 4*v + 3. Let u be x(4). Solve -u*n = -w*n + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 2 - 2*a)*(52 + 100 + 29) to the form r + b*a and give r.\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23982, -47956, -71928, -95898?\n\"Answer: s**2 - 23977*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1149.\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -6 + -1 - (-37 + 21).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4500000 = a. What is a rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -8904925.\nAnswer: 1\/1780985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2034002?\nAnswer: 2, 29, 35069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3573, 5, 6, 3, 27 in descending order.\nAnswer: 27, 6, 5, 4, 3, -3573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 8*a + 6. Let s be b(9). Let o = -18 + s. Sort 1, -1, o in descending order.\nAnswer: 1, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 3, s: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 + 3 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/19)*(n**(-4)\/n)\/n)\/(n**(-2\/5))**(-1\/49) assuming n is positive.\nAnswer: n**(-23068\/4655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -5*u**4\/24 - 95*u**3\/6 + 3*u**2 - 7*u. What is the first derivative of w(o) wrt o?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6. Let u(m) = m**2 + 23. Let a(j) = 22*r(j) - 6*u(j). Let p(s) be the first derivative of a(s). Let n(l) = 2*l. Give p(n(q)).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2 - 2*z + 3. Let m be j(1). Let w = 11 + -8. Suppose -d - m*u - 339 = -3*d, 2*d - w*u - 345 = 0. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.46 - 302.46. Let m = n - -300. Which is the nearest to 1\/2? (a) m (b) 0.1 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 20*k**2 - 2*k. Let w(o) = 2744*o**2. Give d(w(f)).\nAnswer: 150590720*f**4 - 5488*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.704183 times -113?\nAnswer: 79.572679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 280 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 4\/(-1)*(34965\/378)\/(-15*(-4)\/(-6))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from kkkdkdd?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254521735 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5384077?\nAnswer: 5384077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6 - 4*c + 2*c + c. Let t be r(-9). Suppose -5*h + t*h = -28. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 12*p - 11*p**2 - 3 + 2*p**3 - 2*p + p**2 - p**3. Let y be o(9). What is the third derivative of -4*a**5 + a**2 + 2*a**2 + 6*a**5 - y*a**5 wrt a?\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from {k: 2, r: 2, t: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 5*c**2 + c + 2. Let o be n(3). Let i = -8 - o. Suppose -2*l + 5*y + 0*y + 7 = 0, -46 = -i*l + 3*y. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/7 + 8\/21. Solve -l - 4\/3*w - 2\/3*w**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - k - 2. Let m be p(0). Let n be m\/(-4)*8\/2. Solve n*y + y + 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-2 - 8) - (15 - 0 - (-152 - -91))\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2252971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 23. Suppose -3*r = 3*k - 27, -3*k + r + m + 8 = 0. Find the second derivative of -4*s + k*s**5 - 3*s**3 + 3*s**3 + 6*s wrt s.\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1 = i - 2*h, -h = -i - 1. Is -12\/13 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-1)\/6)\/((-1)\/(-2)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2\/7, -0.67892 in increasing order.\nAnswer: -0.67892, -1\/2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(-12)\/(-70)*196\/63\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2040\/210)\/17)\/(2\/(-63))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 718.2 * 0.3\nAnswer: 215.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -178 and -2.4894793.\nAnswer: -180.4894793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6 - 9440\/(-30)*9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2 = 4*h - 0*z, 0 = 3*h + 5*z + 4. Let c = h + -5. Let t be (-1)\/(-3) + (-38)\/c. Calculate the highest common factor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17758, 32535, 47312, 62089, 76866?\n\"Answer: 14777*x + 2981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 266239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 3*w = -2*w + 116996. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23453 + -54 + 17 + 14\/(-4)*2 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30239, -60481, -90729, -120983, -151243?\nAnswer: -181509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20269, -20265, -20251, -20221, -20169, -20089?\nAnswer: -19975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -14 + -9 + 7 + 0 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.51 in 0.5, -4, 82, -3\/2, -5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 43 = 3*v, -5*n = -0*v + 3*v - 47. Let m(d) = 12 - 2*d + 2 + v. What are the prime factors of m(-12)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1864875581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 6*x**2 + 7*x - 6. Let y be a(5). Suppose -y*s + 8 = 0, -2*u = -4*s + 6 + 4. Is u > -3\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6 = -d. Let n(x) be the second derivative of 0*x**2 + 0 - 7\/12*x**4 - 3*x + 0*x**d. Let w(r) = r**2. Determine w(n(z)).\nAnswer: 49*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*o + 20889 = 266*o for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 352 - 368.1. Let m = 16 + f. Sort -0.2, 2, m in descending order.\nAnswer: 2, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 416*c - 5. Let w(x) = -192*x + 3. Calculate 4*l(m) + 10*w(m).\nAnswer: -256*m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(6\/8)\/((-27)\/234).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 242729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*l + 12*l + 1101 - 542 - 566 - 68*l.\nAnswer: -165*l - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence daa when three letters picked without replacement from jdbajbj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 12, c + c - 3*l + 112 - 221 = -111 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 10:09 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10100 - 6537. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*b - 22, 5*b - 179746 + 179807 = -8*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, 28, 67, 128, 217, 340?\n\"Answer: s**3 + 2*s**2 + 10*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3377607 and 11094.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 496*b - 10*b**2 - b**3 - 14*b**2 - 6*b**2 - 16 - 497*b. Let m be l(-30). Solve -4 = 9*z + m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 245430031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2. Let g be (-1)\/3 - 24\/(-18). Let x be ((-5)\/(-45))\/(g\/3). Which is the nearest to x? (a) -0.1 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 747417 and 1815?\nAnswer: 3737085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 22. Let k = 63 - q. What is the remainder when k is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85107 - 36953. Is 32 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 44 = 7*w, 0 = 5*w + 2*k + 3*k + 10. Put 3, 1, -332, w in increasing order.\nAnswer: -332, w, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 611032 (base 11) to base 14\nAnswer: 1b7db3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 9 + 1. Suppose 44 = -4*m - 4*q, 2*m - 5*q + 5 = -3*m. What is the smallest common multiple of (1 - (-9)\/(-6))*m and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127357219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 12 + 0 + -18 + (14 - -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-14)\/(k**33\/k))**(9\/8) assuming k is positive.\nAnswer: k**(-207\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -188*t**3 - t**2 + t**2 + 3*t**4 + 2 + 193*t**3 in the form r*t**3 + g*t**2 + f*t + q*t**4 + c and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -754\/27 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -4873, -1\/7, 0.8 in descending order.\nAnswer: 0.8, -1\/7, -0.3, -4873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/7 + 12*x**3\/7 + 18*x**2\/7 - 8*x\/7 - 24\/7.\nAnswer: 2*(x - 1)*(x + 2)**2*(x + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*v**2 + 13*v**2 - 6*v**3)*(-3 + 2 + 2).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7819256 and 75?\nAnswer: 7819331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -389, -777, -1167, -1559, -1953, -2349, -2747?\nAnswer: -3147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 663107584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**3\/3 + 4*r. Let l(d) be the first derivative of -2*d**3\/3 - 2. What is o(l(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11\/(66\/(-8)))\/((-2)\/12). Suppose -9*r + 3 = -h*r. Solve 3*q - 28 = 4*x, 8 = -r*x + 2*q - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 40*q - 84.\nAnswer: -4*(q + 3)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -83*i**2 - 53*i + 2. Let b(c) = 42*c**2 + 28*c - 1. Calculate -9*b(j) - 5*m(j).\nAnswer: 37*j**2 + 13*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/3 + 8*k\/3 = 0 for k.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 866*y**2 + 16648*y + 52864.\nAnswer: 2*(y + 4)*(y + 16)*(y + 413)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24446 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -225, -242, -205, -90, 127?\n\"Answer: 4*j**3 + 3*j**2 - 54*j - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 7:51 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3*sqrt(76) + sqrt(76))*1)\/((sqrt(132)\/sqrt(3)*1)\/sqrt(11)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1485987812 to six dps.\nAnswer: -0.148599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppprpdrz. What is prob of picking 1 r and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k + 4*k - k**4 - 16 + 32 - 15 - k**3 to the form l*k**3 + o + p*k**4 + c*k + y*k**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/7, -3, -0.55, -61, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85976 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: Simplify (((s\/(s**12*s))\/s*s)\/s)**(38\/3) assuming s is positive.\nAnswer: s**(-494\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1587615201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.3 + 3.3. Let u = -12.9 - i. Is u less than 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/102 and -43\/14?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5352, 10703, 16058, 21417?\n\"Answer: 2*s**2 + 5345*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1148932 + -1150037.98262. Let y = p - -1106. Round y to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*g = -1232 - 949, 4*g - 417 = -n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256.79724 months in millennia?\nAnswer: 0.02139977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-17))\/((-7572)\/(-32181)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(200) + -2)**2.\nAnswer: -200*sqrt(2) + 1020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 3, -0.295986, -5\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5655623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, n: 1, z: 4, l: 7, k: 1, v: 5}. Give prob of sequence nkv.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -6*a + 9*a + 3*n, -3*n + 147 = -4*a. Let f = a - -36. Let x be 4 + 3 - (f + 3). Solve -6 + x = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 + 1480)\/(-65) + 1*-16?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 313102220 (base 4) to base 8\nAnswer: 672250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41102 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3666269\/7 - -523753. Let o = -0.1 + -0.1. What is the nearest to z in o, -1, -22?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 27 - 5*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 23340 to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 45, 67, 89, 111?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -16*k**2 + 7*k**2 - 29*k**2 + 14*k**2. Let a(u) = 11*u + 4. Give a(m(t)).\nAnswer: -264*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12976.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n = -1. Suppose a = -2*q - 4, -2*a - 3*a = 3*q + 6. Suppose a*c = -5*c. Which is smaller: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*t, 4*a + t - 1707 = 4*t. Let w = a + -421. What is the smallest common multiple of w and 178?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a century in months?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 120516437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 36.00000013. Round c to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -14. Let x be (9\/(-12) + z)*-4. Let y be 8\/28 - 46\/14. Sort y, -4, x in increasing order.\nAnswer: -4, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmrrmmrmmrrrrrmr?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-60)\/(-8)*(80\/(-25))\/4. Let q(r) = 7*r**2 - 10*r**2 + 2*r**2 + 2*r - 2 + 2*r**2. What is q(u)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*u = 27, 0 = 20*u - 22*u + 2. Calculate the remainder when 79 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 39 = -14*r. Solve -4*g + 0*g - 15 = r*i, i = -1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82344*r**4 + 25561 with respect to r.\nAnswer: 329376*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 45. Is 12 a factor of 2\/(-5)*(-87 - f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 34*s + 129. Calculate m(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1830755 rounded to two dps?\nAnswer: -4.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -66, -146, -246, -366?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2241 by -249.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292730*m + 2 + 0 - 1.\nAnswer: -292730*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 2 + -40 + 33 - 5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2234, 2887, 3976, 5501?\nAnswer: 7462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 0.3, 4.6 in decreasing order.\nAnswer: 55, 4.6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 69945922 divided by 2057233?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*s + 40*s + 6254. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2 - 7*n - 3. Let v be g(-5). Let m = v + 148. Is 30 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -25. Let s = w - 77. What is the remainder when ((-8)\/10)\/(2\/s) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199 + 121 - -119 - 62.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-58)\/(-15) - (-8)\/60. Let m be (-174972)\/(-245) + k\/10. Let o = m + -709. Calculate the common denominator of -14\/3 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4213 divided by 189?\nAnswer: 4213\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -952*l = -933*l - 570. What is the smallest common multiple of 240 and l?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.21926? (a) 8 (b) -2\/35 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - d + 1. Let h(o) be the first derivative of -2*o**3\/3 + 3*o**2\/2 - 6*o - 2. Let w(x) = -3*g(x) - h(x). Differentiate w(f) with respect to f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 7*o**2 - 2*o + 10. Let k(b) = -b**3 + 8*b**2 + 7. Let y be k(8). Let w be x(y). What is the remainder when 46 is divided by 2\/w*-34 + -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 36*d - 28. What are the prime factors of m(35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 24 = -5*j - 0*j + 2*j + 18, 466 - 537 = -2*j - 13*h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.489556 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4814748 divided by 2?\nAnswer: -2407374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 56. Suppose -q*k + 2893 = -22*k. List the prime factors of k.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24167709\/259 + 653193\/7. Let d = t + 12\/259. Solve -12\/7*y**3 + 3\/7*y**4 + 0 + d*y**2 + 0*y = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -425*w + 17508. Calculate j(42).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109116231 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/91, -5, -84\/5, 2\/7, 4?\nAnswer: -84\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -6, 1, -2051 in descending order.\nAnswer: 1, -2\/7, -6, -2051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**3 + 5*p**2 - 5*p + 39. Let z(o) = -6*o**3 + 4*o**2 - 4*o + 40. Let b(l) = 4*w(l) - 5*z(l). What is the derivative of b(d) wrt d?\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(1584) + -1*sqrt(1584) - sqrt(1584) - sqrt(1584)) + sqrt(1584) + -4 - sqrt(1584) - (sqrt(1584) - (-5 + 0 + sqrt(1584))))*6)**2 + -5.\nAnswer: 16704*sqrt(11) + 231455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -58 and 15892.\nAnswer: 15834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-18)*(54\/(-20))\/(-9)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 5*k**2 - 5*k - 1. Suppose -5*m + 4*x + 15 = 0, 6*m + x + 15 = 11*m. Let j be (-2 - (m - 6)) + (7 - 4). Give n(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41282.9ml in litres?\nAnswer: 41.2829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 3 = -72. Let y(k) = -k**2 - 14*k + 77. Let j be y(4). Solve -o + 7 = -z, -4*o + a*z = -j*o - 17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122.5 - 122. Sort -5, -3, r, -2.\nAnswer: -5, -3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -460834 divided by -18.\nAnswer: 230417\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (183*z + 233*z + 93*z)*(-4 + 5 + 1) to t + m*z and give m.\nAnswer: 1018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0037420242 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 10*j**2 - 10*j + 12. Let d be a(9). Suppose -d*w = -0*w. Let f(l) = -l**3 + 4*l**2 - l + 7. Let m be f(4). Solve w = -m*o + o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a tonne in kilograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -748, -3371, -8476, -16663, -28532, -44683?\n\"Answer: -100*b**3 - 641*b**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 778, 2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 1216.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 14807.\nAnswer: 23\/14807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24001 (base 7) in base 11?\nAnswer: -4704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111111111 (base 2) to base 7.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 382 = -13*z + 638. Calculate the remainder when z is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 3648 + 3663 = 0, 0 = -10*t - 5*z - 25 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -43*p + 11. List the prime factors of j(-3).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4762067, -9524159, -14286253, -19048349, -23810447, -28572547?\n\"Answer: -m**2 - 4762089*m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 75895.03 millilitres?\nAnswer: 75.89503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/9 and -68\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -732*r - 108. Does 36 divide i(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-160824*b + 160824*b + 36 - b**2)*(2*b**2 + 0*b**2 + 0*b**2).\nAnswer: -2*b**4 + 72*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 615607 = 615605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 147.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 816564, 816575, 816594, 816621, 816656?\n\"Answer: 4*h**2 - h + 816561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q + 461. Let w(z) = -8*z - 465. Determine -5*c(l) - 6*w(l).\nAnswer: 3*l + 485","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*v + 199*v = -2*f + 15, -f - 20 = -5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from oofoffoffooffffo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.5236?\nAnswer: 2.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a millennium?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(198)\/sqrt(2)))\/(sqrt(100)*-1*-5) + -5.\nAnswer: -5 + sqrt(5)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9446, 1090, -7266?\n\"Answer: -8356*d + 17802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*x**3 + 0*x**3 + 0*x**3 + (4*x**3 - 5*x**3 - 2*x**3)*(0 + 2 + 0).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -115, -126, -151, -196, -267, -370, -511, -696?\n\"Answer: -t**3 - t**2 - t - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 0 + 4)*(-22 + 10*r + 22)*(2*r + 2 - 2) as g*r**2 + n + m*r and give g.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**2\/2 + 2329*w. Let m(j) be the first derivative of 3*j**2\/2 + 5. Let v be 2\/2*(-2 - -1). Calculate v*m(b) + 2*r(b).\nAnswer: -3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*r + 24 = 69*r + 30*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95690 and 73724?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + 1232333311?\nAnswer: 1232333332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + c = 24. Let x be c\/((-32)\/(-30))*(-12)\/(-9). Sort -16, x, 0, 1 in decreasing order.\nAnswer: x, 1, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 469970?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52291974983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, u: 6, j: 1, z: 3}. What is prob of sequence bz?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 + 2*h**2 + h - 5. Give y(-3).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -49c2593 - -9?\nAnswer: -49c2587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6)*(6 + -6). Suppose 3*z - 43 = -3*d - 40, 5*d = z - 1. Solve -s + d*p - 3*p - 8 = c, 4*s = -2*p - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 2*l + 22, -51*o - 181 = 11*o + 2*l - 3*l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(-1)\/(-4)*-10. Let y = n - -18. Suppose -3*w - w = -y. Solve 2*m = -w*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**2*z - 4238622*h**2 - 3317*h*z + 65*z wrt z.\nAnswer: 2*h**2 - 3317*h + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + 91. Is 35 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/6)\/((-108)\/(-81)). Let l = -0.3 - -2.3. What is the third biggest value in 4\/3, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*m = 62*m. Suppose m = 21*y - 18*y + 27. What are the prime factors of (56\/(-12))\/7 - 1320\/y?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**4\/5 + 32*v**3 - 2016*v**2\/5 + 6272*v\/5 + 21952\/5 = 0 for v.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h - 18824 - 136 = 303*h for h.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-3) - 2\/(-6). Let z be 16 - 0 - 6\/(-24)*0. Suppose 6*h = -z + 34. Solve -4*y - 32 = r*g, -h*y + 2*g - 1 = -0*g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 6:43 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(-7)\/147 + 128\/7. Solve -4*z = 2*z + g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 7 = 2*t, 0 = -3*i - 415 + 424 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 297, 268, 169, -36, -383, -908?\n\"Answer: -6*q**3 + q**2 + 10*q + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 3143382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183605660?\nAnswer: 2, 5, 7, 647, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 times 2505.817?\nAnswer: 581349.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3337*r**2 + 4442*r**2 + 3400*r - 3400*r to the form c*r**2 + n*r + j and give c.\nAnswer: 7779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001383541753 to six dps.\nAnswer: -0.001384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 30 = 0, -3*r + 794*g - 793*g = -267. Solve -3 = -88*l + r*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 4 + 4)*(-3*h**2 + 5*h**2 - 3*h**2) - 22*h**2 + 5*h**3 + 22*h**2 + 4*h**3 - 3*h**3 - 2*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p**4 - 19*p**3 + 175*p**4 - 1 + 14*p**3 + 7*p**3 + p**2 - 24*p**4 to the form t*p + s*p**4 + u*p**2 + w + j*p**3 and give s.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 721602 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -34. Does 11 divide -1 + x*(-465)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2563934730.\nAnswer: 2, 3, 5, 7, 17, 79, 9091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2644)\/(-5949)*846\/(-8)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3570821 + 1914*j**2 - 3570821 - 1911*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8093 - -8088. What is the closest to g in 7, -3, -2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24238800.\nAnswer: 2, 3, 5, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**2\/8 - 78*d + 32301\/8 = 0.\nAnswer: 97, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113556 = 100*p + 22048 - 35392. Calculate the least common multiple of 30 and p.\nAnswer: 12690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -4. Let m = -24400.1 - -24400. Which is the nearest to p? (a) m (b) 2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201952.59 - 0.5.\nAnswer: -201953.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 6)*(-5)\/(-15). Suppose -4*r = o*b - 895 - 4, 0 = 2*r + 5*b - 467. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220269 and 245?\nAnswer: 7709415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 124*o - 748. Let m be x(6). What is the fifth smallest value in -3, m, 5, 0.2, -1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.3 and 90.7?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (1 - -6) - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 9:33 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.362963kg to nanograms.\nAnswer: 4362963000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r**(-2))\/r*r)*r**1)\/(r*r*r**(3\/11)*(r\/r**(-2\/23))\/r)*((r**(-5))**(-1\/68))**(-9) assuming r is positive.\nAnswer: r**(-369\/17204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 59\/4 of a hour?\nAnswer: 53100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + a63?\nAnswer: a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -18. What is the least common multiple of 10 and 4\/(-6) - 16\/i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -m + 29636 + 742349, -772015 = -m - 5*u. What is m rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + (sqrt(13) + sqrt(13) + -2 - sqrt(13))*6 + sqrt(13) + 1)**2.\nAnswer: -154*sqrt(13) + 761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 - 326*r**2 - 333*r - 1462. What is y(-162)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 e, and 1 s when four letters picked without replacement from {q: 1, x: 2, e: 3, z: 1, l: 3, s: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.774 times -7.19?\nAnswer: -91.84506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azzsn. Give prob of sequence zn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -36. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.171 + 0.048. Let q = -1.583 - y. Let s = q + 1.7. Round s to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1023030.54us to weeks.\nAnswer: 0.00000169151875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 0)*(-3 + 2 + 5)*(-11*t - 268 + 268).\nAnswer: 220*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 4. Suppose u - a = -u. Suppose -4*t + 28 = -u*l, 2*l + 12 = 5*l. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78474 = 9878*z - 2744*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9971 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -12*d - 17. Calculate the remainder when p(-2) is divided by 0 + 1 + 2*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - 2*x)*(20 - 6 + 14).\nAnswer: -56*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.117 and 0.07.\nAnswer: -0.00819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 41\/17, 3, 2\/33, -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**4*s**2 - 121*j**3*s**2 - 2*j**3*s - 8*j**2*s**2 + 75*j**2*s - 3*s**2 wrt j.\nAnswer: -72*j*s**2 - 726*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 117, 155, 193?\n\"Answer: 38*v + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) + sqrt(117) + -2*sqrt(117))*-4 - -4*(sqrt(117)*1 + sqrt(117)))\/(-4*(sqrt(9) - sqrt(18)\/sqrt(2)) - (-3*-1*sqrt(9) + sqrt(9))))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31894.34l in millilitres?\nAnswer: 31894340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, v: 1, o: 2, m: 2}. What is prob of sequence mt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56.04*256.\nAnswer: -14346.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 11 + 21 + -3 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17483.\nAnswer: 17483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 6*t**2 - 5*t - 1. Let l be p(5). Let g be ((-2)\/(-4)*-4)\/l. Suppose -25 = -5*c - g*o - 0, -4*c + 3*o = 3. Is c at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*h**5 + 7032*h**3 - 4*h**5 - 2270 + 3844 + 324*h**4 + 19192*h**2 + 5200*h + 4510 + 13364*h.\nAnswer: 4*(h + 1)**3*(h + 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*h**2*x**2 + 40*h**2*x - 6809*h**2 + x**2 - 9*x + 2 wrt x.\nAnswer: -10*h**2*x + 40*h**2 + 2*x - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*sqrt(468)*2 - sqrt(468))*5)**2*2 + 1 + 0.\nAnswer: 1895401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (14960 + 10454 + 21316 - 4858)*(2*o**2 + 0*o**2 + 0*o**2) as q*o**2 + y + t*o and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kskmmksamk. Give prob of sequence kssk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46700 by 100.\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h - 6 + 6*h**2 + 3*h**3 - 7*h**2 + 14 to the form n*h**2 + d + q*h + j*h**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -2, 13, -181 in decreasing order.\nAnswer: 13, 5, -2, -5, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/8662 and -91\/2032?\nAnswer: 8800592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 52 = -b, -b = -346 + 338. Solve -23*s + 24*s - 9 = 4*k, 4*s = -a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 104 in decreasing order.\nAnswer: 104, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1105 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 22. What is the highest common divisor of n and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33041247, 33041240, 33041233, 33041226?\n\"Answer: -7*f + 33041254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -4*o - 17, -6*o + 8*o + 5 = 3*v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2*-176799319\nAnswer: -353598638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 2:14 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and 290.\nAnswer: -23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 12*n + 19 - 1\/2*n**3 + 3\/2*n**2. Solve q(v) = 0 for v.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnjcgjnnjjtjjlgjtjlg. What is prob of sequence tnt?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-3*4 + sqrt(119) + 5*(sqrt(119) - sqrt(119)*1))\/(sqrt(35)\/(sqrt(10)\/sqrt(2)) - sqrt(7) - sqrt(49)\/(sqrt(252) + sqrt(7))).\nAnswer: 77*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115371479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/1016 and 157\/19050.\nAnswer: 76200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.4, 39.7, -0.5, 3, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -2 (c) -0.32 (d) -0.05 (e) -96\/181\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 18920 to the nearest 100.\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(3 - 6 + 5)*(-4*k - k + 3*k)*(-2 + 3 + 2) in the form b + g*k and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7650 - 7654. Let y = -0.8 - 0.2. Let n = y + v. Which is the nearest to 1\/4? (a) 1\/5 (b) 2\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42.1986 - -42. Round l to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, 3, 0.82, 1\/2, -12, 0.05?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102077 is divided by 19464?\nAnswer: 4757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + sqrt(539) + -5 + sqrt(539)*2)**2.\nAnswer: -280*sqrt(11) + 8649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 8*l = -6. Suppose -4*a + 4*c + 11096 = 0, -5*a + l*c = 1459 - 15338. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3060540 (base 7) in base 13?\nAnswer: -cb43c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 t when four letters picked without replacement from {t: 7, c: 1, n: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 1:25 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5837, 6389, 6949, 7517, 8093?\nAnswer: 8677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/(2901\/(-7736))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 14. Let o be w(-9). Let m = o - -17. Suppose m = 4*l - 16. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, k: 5}. What is prob of picking 1 f and 3 k?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-108)\/(-10) + (-80)\/100. Let g(d) = 20*d - 4*d - 2*d**2 - 22 + d**2. What is the units digit of g(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 24, 0 in descending order.\nAnswer: 24, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 18*z + 1. Suppose -3*i + 7 = 4*w - 68, w - 14 = 4*i. Let n be v(w). What is the highest common divisor of 9 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 126107632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/11430 and 109\/260350?\nAnswer: 2343150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 2, -8, 5 in descending order.\nAnswer: 5, 2, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -38 + 10. Let g be (2 - u\/3)*(-27)\/6. Suppose -2*w + g = -6*w. Let x(p) = -p**3 + 4*p + 2. Calculate x(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-4)\/6*(-126)\/(-28).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c + 5. Suppose -3*r + 6 = -0*r. Let z(x) = -x - 6 - r*x - 4*x. Let i(k) = -6*m(k) - 5*z(k). Let n(h) = -h**2. What is n(i(a))?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126 - 79. Suppose 0 = -m - 4*d + 57, 319 = 5*m + 2*d + d. Let n = m - r. What is the remainder when n is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*j**3*w**5 - 20*j**3*w**2 + 36*j**3 + 1706*w**3 - w**2 wrt w?\nAnswer: -900*j**3*w**2 + 10236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 34730.\nAnswer: 4\/17365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -52.477 (b) 2 (c) -1\/5 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*j + 16, j - x = 2 + 4. Let y(r) = -5 - 2*r + j + 1. Let q(k) = k**2 - 9*k. What is y(q(w))?\nAnswer: -2*w**2 + 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12249 = -47*x + 3614 + 5345 for x.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqmokoqoqktqkk. What is prob of picking 1 t and 1 q?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2949 = -5*v - 3*q, 0 = -2*q + 19 - 13. Suppose o - v = 8759. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**3\/4 - 67*p**2\/4 - 439*p\/4 + 1947\/4 = 0.\nAnswer: -59, -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*p - 417*p - x - 22 = 0, -3*p + 2*x + 19 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -329.545 - 99.45161. Let n = -429 - y. Round n to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*f*i**2 - 81831*f - 15*i**2 + i + 2 wrt i.\nAnswer: 48*f*i - 30*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/22*(-1)\/(-2). Let t = -0.031 + 5.031. Which is the closest to 0.3? (a) -5 (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 101.22, -22, -2\/835 in descending order.\nAnswer: 101.22, -2\/835, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 17. What are the prime factors of w\/(-3)*21\/(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 6. Let x be d(-13). Let f(j) = -j. Let v be f(-4). Let r = v + x. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-72))\/(27\/36)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 157312874 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 196 + -186. Let x(t) = t**2 - 9*t - 5. What is x(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 361358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96*c**4 + 55.\nAnswer: 384*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -29. Sort -0.2, 1, s, 2\/11 in descending order.\nAnswer: 1, 2\/11, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 807653 and 7268877?\nAnswer: 7268877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49423, 197696, 444817, 790786?\n\"Answer: 49424*v**2 + v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 102, 146, 190, 234, 278?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**4\/12 + x**3\/2 + x. Let a be c(-3). Suppose -5*z + 2*z - 6 = a. Is z >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (25 - 27)\/(2\/(-3)). What is the third derivative of x**3 - 4*x**p - 43*x**2 + 59*x**2 wrt x?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 - 19. Let p = b - 27. Let m = 43 + p. List the prime factors of m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/10)*c*c\/(c\/c**9))\/(c**9\/(c*((c*c**(-2\/33))\/c)\/c)) assuming c is positive.\nAnswer: c**(607\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -1. Let q(b) = -b**3 + 5*b**2 + 9*b - 8. Let c be q(o). Let a = c + 5. Calculate the remainder when a is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064 (base 9) in base 15?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6782413071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n + 79*n + 2394 = n for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.06 - 0.06. Let k = -0.052 - -0.252. Let m(d) = d**3 + 3*d**2 - 4. Let h be m(-3). Which is the third biggest value? (a) h (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/12)\/((-3)\/(-36)). Let i = -10 + 14. Suppose -2*n + 10 - i = 0. Are n and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/85 (b) -1\/5 (c) 0.1 (d) 4\/7541\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -718\/15 - -241\/5. Let o = 0.1 + 0.4. Which is the smallest value? (a) -2\/7 (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*r - 7, 2*r = 3*t - 2*r - 11. Let i(f) = f**2 - 2*f - 31. Let m be i(7). Let k = m - t. Solve -k*g + 2 + 3 = -4*b, 0 = 5*b + 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 c, and 2 q when four letters picked without replacement from {q: 2, c: 5, k: 1, t: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*h - 14, -5*k + k - 22 = -3*h. Suppose h*a - 4*a + 138 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 14*p**3\/3 - 3*p**2\/2 + 42. Let v be t(-6). Calculate the highest common factor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v**2 + 8. Let u(y) = -25*y**2. Determine u(a(k)).\nAnswer: -1600*k**4 - 3200*k**2 - 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/31823 and -43\/361625?\nAnswer: 3977875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v**2 + 2*v + 1. Let r be c(-1). Let b = -3 + r. Let g(f) = 4*f**3 + 2*f + 0*f**2 - 7*f**b - 3*f**3 + 5*f - 5. Calculate g(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 61445.51 weeks?\nAnswer: 37162244448000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 1. Suppose -2*u = -4*p - 1841 - 289, -2*p = t*u + 1040. Round p to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 18 - 14. Let t(b) = -12*b + 1 - 9*b + 18*b + b**s. Suppose -6*a + 3*a = 12, -2*c - 3*a = 0. Give t(c).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 214*z - 208*z + 48. Let p be (-429)\/44*z\/(-3). Which is the closest to 0? (a) 1 (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(f**2 + 4*f**2 - 3*f**2) - 145*f**2 + 90*f**2 - 3*f**2 - 57*f**2.\nAnswer: -113*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 44*z - 287. Let d(h) = -36*h + 215. Determine -9*d(a) - 7*y(a).\nAnswer: 16*a + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 997 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 34?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t. Let m(f) = -11*f + 31 - 18 - 13. Give 3*m(u) - 8*y(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 - -94. Suppose 5*w + 0*w = 10. Suppose -6*m + 20 = -w*m. Which is the nearest to f? (a) m (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31466752717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3\/5 + 1872*k**2\/5 - 7248*k - 49614976\/5.\nAnswer: -4*(k - 302)**2*(k + 136)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 + 0.02. Which is smaller: o or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - 0.9. Let u = 3 - z. Let q = -9772 - -9766. Which is the biggest value? (a) q (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 35*j**3 + j**2\/2 + 7*j + 347. Let f(w) = 3*w. Calculate c(f(h)).\nAnswer: 945*h**2 + 3*h + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Suppose r - 5*h + 9*h = 187, 4*r = -u*h + 748. Calculate the greatest common factor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f**3 - 5*f**3 + f**3)*(-4 + 3 + 2) + 3*f**2 - 12042*f + 6026*f - 78*f**3 + 6014*f to t*f + l*f**2 + m*f**3 + r and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 12:52 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 5*t**2 + 2*t + 27. Let m be n(6). Put m, -6, -7, -1 in descending order.\nAnswer: m, -1, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 56, 104, 184, 308?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 2:35 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718.68l in millilitres?\nAnswer: 1718680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 576.993ml in litres?\nAnswer: 0.576993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -573195, -34 in descending order.\nAnswer: 4, -34, -573195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 84 + 197*f + 19 + 65 as b*f + q and give b.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.5 - 6.39. Let a = t + -2.81. Let u = -0.47 + 0.17. Is a at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-5))\/(-7)*95\/494?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3\/5, 37, 5, -2\/11, -5 in decreasing order.\nAnswer: 37, 5, 3\/5, -2\/11, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 4 - 4)*(-2*w - 2 + w + 1)*(4*w**3 + 3*w**3 - 3*w**3).\nAnswer: -8*w**5 - 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - r = 7, 4*s + 1261*r = 1263*r - 28 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/6*90\/(-1425)*19.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - 50255213.\nAnswer: -50255245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-1098)\/78 + (12 - 4)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -2 + 4 - (769 - 781).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 2. Let i(n) = -n**3 - n + 1. Let a(q) = -2*i(q) + u(q). What is the second derivative of a(c) wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -613*a - 6321. What is t(-10)?\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5219247 and 287298.\nAnswer: 31315482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 + -98. Suppose -2*x + 3*d + 401 = o*x, -3*d = 5*x - 419. What is the remainder when x is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbggsgbbbbssbb. Give prob of picking 2 s, 1 g, and 1 b.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 11*k - 202. Determine i(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -214 + 214. Let h(j) be the second derivative of 1\/21*j**7 + 0*j**4 - 1\/5*j**5 + 0 + 3*j + 0*j**2 + 1\/3*j**3 + i*j**6. Determine l, given that h(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.5 (c) -51 (d) -3\/5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 14*n**2 - 2. Let d(c) = 62*c**2 - 9. Let x(b) = -4*d(b) + 18*p(b). Let y(j) = -4*j + 17. Calculate y(x(v)).\nAnswer: -16*v**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + s + 10472044 = 10472046, 33 = -27*w + 2*s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1490693657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 8*o + 11. Let f be h(9). Let z(a) = 0*a**2 + 2*a**2 - a**f. Let i(v) = 9*v. Let g(q) = -5*q. Let x(s) = 5*g(s) + 3*i(s). Give z(x(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from luuuugugugguruugu.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, -129, 37, -3.\nAnswer: -129, -16, -3, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(3\/5 + (-906710)\/1511475)?\nAnswer: 3, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40190533 - 8449?\nAnswer: 40182084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w + 4 = 16*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 3*m - 3, 2*m - 1 - 1 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/69 + -1222\/345. Let f = 1044\/5 + -212. Let r = f - p. Is r greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 6*x - 7. Let c be n(3). Let b = c + -29. Calculate the least common multiple of -1 + 3 + b + 2 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4899709 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -9 - (9 - 25) - (40 - 1).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + h**3 + 0*h - 7*h - 5*h + 4 as d*h**3 + p*h**2 + k + t*h and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1625)\/1105*((-5)\/((-1250)\/(-60)))\/(3\/15)?\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -10. Let m(k) = -k**3 - 6*k**2 + k + 7. What is the units digit of m(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u - 89. Let a be b(-13). What is the third derivative of 2*p - 3*p**a + 161*p**4 + 9169 - 9169 wrt p?\nAnswer: 3864*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + 4 - 4 + 2*u**2 - 2*u**2 - 4*u**3 + (-4 + 2 + 4)*(-u + u - 2*u**3).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26\/11814079 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = -0*m - 7*m - 7*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -397.052.\nAnswer: -398.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-9)*-6*(-4)\/260?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6394965?\nAnswer: 3, 5, 426331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 70 = 2*i. Let c be 4\/57*(-21)\/i. Let o = 16 - 11. What is the second smallest value in o, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-3))\/(k\/(k**(-6)\/k*k))*((k\/k**(-1\/4))\/k)**46)**(-12))**(-2\/51) assuming k is positive.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.014 - -0.214. Let h be (4\/(-3))\/((-45)\/((-945)\/(-182))). Which is the smallest value? (a) -0.12 (b) 5 (c) h (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 + -74. Let x be (9\/4)\/(w\/64). Let j(z) = 18*z - x*z**2 - 10*z - 8*z. Let t(u) = -2*u. Determine j(t(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.1052 rounded to 1 decimal place?\nAnswer: 13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.2963 to 1 decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/1056 and 77\/30.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10\/3 (b) -45 (c) 0.2 (d) -208 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2369736 and 134136.\nAnswer: 7109208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*f - 575*f + 323*f - 94*f - 25*f**3.\nAnswer: -25*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3355 - 73885\/22. Let t = 54\/11 + s. Determine u so that t*u**2 + 3 - 9\/2*u = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-64)\/(-6)*(66 + -24). Suppose 5*y - m = -4938. Let z = -5537\/6 - y. Find the common denominator of 89\/12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 1 - 2. Let b = 549\/10 - 55. Find the common denominator of b and ((-85)\/z)\/(2\/(-3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16390500 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and ((-12)\/10 + 0)*40\/(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -35*g + 473. Let u be z(0). Let c = 491 - u. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 23*u + 28 = 4*h, -3*h + 10 = u. Let l(f) be the first derivative of 3 + 2\/7*f - 1\/28*f**4 - 5\/14*f**h + 4\/21*f**3. Determine o so that l(o) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 342 - 340. Suppose 0 = -5*u - 3*i + 756485, -115175 = 2*u - d*i - 417785. Round u to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/(360\/8640). Suppose 2*u + 9 + 5 = 0. Let x(t) = -3*t - 7. Let v be x(u). Which is smaller: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j = 22*j + 101*j - 3500 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 3*h**2 + 53*h + 152. Determine s(9).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10778, 10762, 10744, 10724, 10702, 10678, 10652?\nAnswer: 10624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65170?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 7*g**2 - 2*g - 7. Suppose 4*a + 21 = -7. Let q be o(a). Suppose -j - 5*h - 7 = -0, -j + 2*h = -q. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1631 + 1631.6. What is the nearest to 1 in -2, m, 2\/5, -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4257.809 tonnes in kilograms?\nAnswer: 4257809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 751 + -716. What is the remainder when k is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-14 - (1 - 10)) + (0 - -42)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 0*x**6 + 0*x**2 + 30\/7*x**7 - 2*x - 29 + 0*x**5 + 137\/12*x**4 + 0*x**3. What is the third derivative of v(a) wrt a?\nAnswer: 10800*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 3*m - 6. Let p(n) = n - 11. Let y be p(7). Let w be 2\/y*-1*-12. What is the tens digit of l(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4785, -9513, -14245, -18981, -23721?\nAnswer: -28465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 9*a**2 + 5. Let h(r) = r**3 + 8*r**2 + 8*r. Let q be h(-7). Let f = -5 - q. Let p(y) = 10*y**2 - 3*y**f - 2*y**2 + 3. Determine 3*g(i) - 5*p(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**2 + 0 + 4\/9*d**3 + 1\/90*d**6 + 1\/315*d**7 + 0*d - 1\/9*d**4 - 1\/30*d**5. Find y such that i(y) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164027 - 10.8.\nAnswer: -164037.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/6)\/(40\/15 - 3). Let j(k) = 3*k**3 - k**2 + 2*k - 1. Let a be j(1). Let b = -1.07 + 0.07. What is the closest to b in a, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i - 90. Let r be (4 - (-10227)\/70) + (-1)\/10. What is the highest common divisor of i and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3071 and 27639?\nAnswer: 27639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -494 + 795. List the prime factors of a.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 35*v**2 + 0*v**2 - 4 - v + 55*v**2. Is r(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46 + 433?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 96825.\nAnswer: 2\/96825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + w**2 - w - 1. Let r(v) = v**3 - v**2 + 2*v + 2. What is 2*k(j) + r(j)?\nAnswer: 3*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2) + 1 - 18\/(-54).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4777103846?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1101? (a) 60482 (b) -0.4 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 255291 to the power of 1\/2, to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zggggggsigggs. What is prob of sequence ss?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 + 2.6. Which is the second biggest value? (a) 0 (b) o (c) 2 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c = -546. Let m(x) = -x + 60. Let u be m(0). What is the common denominator of -73\/4 and -2 + 3\/(u\/c)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(1\/5 - 140\/600)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 3 - 1\/3*t**3 + 0*t**2 + 0*t. Let x(n) be the second derivative of n**4\/12 - n. Determine g(x(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -71?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 11 + 15 = 0. Solve 2*m - 2*s - 14 = 0, -4*s + 2*s = 4*m + g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -4, -0.4, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287435287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1239 * 0.27.\nAnswer: 334.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h = 5*r + 40, -4*h + 28 = -3*r. Let p be 2 + 12\/r - 0. Is 9 a factor of (28 - (-3 + 3)) + p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -17*x**4 + 276*x**3 + 278*x**2 - 300*x - 301. Let l(m) = -2*m**4 - m**3 - m**2 - 2*m - 2. Let g(p) = 24*l(p) - 3*z(p). Factor g(r).\nAnswer: 3*(r - 285)*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -0.5, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17, -9, -1?\n\"Answer: 8*j - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times -1.1?\nAnswer: -20.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -60\/13, 3, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -52769 <= -52770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 576273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (4650\/125 - (-2)\/(-10)). Suppose 30 = -q*r + 41*r. Solve -5*d + 5*g = -25, r*g = d + 2*d - 23 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -514 + 517. Solve h*i + 6 = r, 4*r - r - 8 = 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1442 + 3?\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 4*w**2 - w + 13*w in the form f*w + k + o*w**2 and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -43*x + 30. Let g(u) = 2*u + 1. Let i(o) = -4*g(o) + k(o). List the prime factors of i(-11).\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128592 and 140544?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 388162 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 372736?\nAnswer: 372741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -114 - -114.2. Do -40.8 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 + 0 + 0 - 9 - 5251*n)*(-4 + 4 + n).\nAnswer: -5251*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2 - 62\/(-10)) + -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2 = 2*h, -4 = -2*h + 5*t - 3*t. Let o be h\/((1 - 9)\/(-48)). Let v = 42 + -30. Calculate the greatest common factor of v and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15733609.106007 - -15733591. Let a = f + 18.11. Round a to 4 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1894603*m + 343 - 94 - 1894637*m. Calculate b(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 0*l - 2*f + 1098, 0 = -2*f. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2318 + 2314. Let r = 2 - 2.1. Which is the second smallest value? (a) 4 (b) r (c) z (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13434495 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.74360463 plus 70?\nAnswer: 36.25639537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 239823*r**3 - 2 + 239946*r**3 - 2 - 480293*r**3.\nAnswer: -524*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4943.\nAnswer: 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -n + 8, -2*n + 2*v + 13 = 1. Suppose 3*s + 3 = -h - 2, -n = -5*h. Suppose 0 = 2*a + 2*a + 12. Sort a, s, 15 in decreasing order.\nAnswer: 15, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmhmmvhhmz. What is prob of picking 1 v, 1 h, and 1 z?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**19*z**(3\/2) assuming z is positive.\nAnswer: z**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2259 divided by -3?\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/230 and 13\/70?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (48\/72)\/((-2)\/(-1410)). Suppose -655 = -2*v - c - 200, 2*c + r = 2*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 7:46 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/10 + 4696\/40. Suppose 3*w - 13 - 17 = a, 0 = 3*a - 2*w + u. What is the remainder when (12\/14)\/((-2)\/a) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 - 14*n + 126. Let z be x(-12). Suppose 2*g + 4 = 0, 9*p - z*p - 5*g = 27799. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 9. Let g be -9 - (-2)\/b*-3. Is (5\/(g\/212))\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 0*w - 1 - 4*w**2 + 5\/2*w**4 + 0*w**3. What is the second derivative of r(o) wrt o?\nAnswer: 60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 3*d. Solve d*m + 4*m + 4*v = 12, 5*v = 5*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f = -24*f - 4. Suppose 0 = -f*g + 3*v + 8257, 4135 = 4*g - 2*g + 5*v. Let s = 22670\/11 - g. Calculate the common denominator of s and -26\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1068 times 1?\nAnswer: 0.1068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.6725 times -62775\nAnswer: 42216.1875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1013459 < -1013459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.047.\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 + 9*k**2 + 5*k + 9. Let x be f(-4). Let z be (-10)\/(-6 - (1 - x)). What is the second smallest value in 1, 0.17, -5\/2, z?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 12 - 75)*(-u - 4*u + 3*u).\nAnswer: 226*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 63655801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 4:31 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416354*m**3\/5 - 1165778*m**2 - 924*m\/5 = 0 for m.\nAnswer: -33\/208177, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2167 = 16*s - 1769. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -151733163 and -151733165 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 51\/4 of a kilogram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*h - 391 = -1199. Solve 0 = -9*m - h*m + 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 9:38 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*t + 2 - 6 = 0, 0 = x + 2*t - 1. What is the remainder when 15 is divided by 10 + x + -3 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1824400 and 71\/228050.\nAnswer: 1824400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/5 of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v - 3*v**2 - 153*v + 4*v**2 - 3*v**2.\nAnswer: -2*v**2 - 137*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1372 - 1364. Which is the nearest to 0.1? (a) h (b) -4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*y - 2*y**2 - 4*y**3 + 16*y - 2*y**2 + 1 + 3*y**3 - 11*y to the form f*y + v*y**3 + g + q*y**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-595)\/(-3570)*-63*2\/(-5)?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**5\/120 - d**4\/12 + 4*d**3\/3 - 25*d**2. Let o(p) be the first derivative of t(p). Suppose 3*n - 9 - 12 = 0. Calculate o(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-1\/3))\/y*y)\/(y\/(y\/y**0))*(y*y**(1\/4)*y)\/(y**(2\/11)\/y))**(-42) assuming y is positive.\nAnswer: y**(-4067\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t - 8*t + 18*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o. Let k be x(1). Let n = k + -3. Suppose -b - 26 + 29 = -g, -g - 12 = -4*b. Solve 5*r = n*j - 3, b*j = 5*j + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*p - 112 = 0, 1 = 3*p + 4. Let d = l - -98. Suppose -5*o - 4*r = -d, 0 = -2*o - 2*o + 3*r + 62. What is the remainder when o is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-36)\/(-10))\/(5\/(-25)). Let p be (-4)\/t + (-156)\/(-27). What is the greatest common divisor of 24 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117652234 to the power of 1\/2, to the nearest integer?\nAnswer: 10847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54196246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 155209043 != 155209044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r + 24 - 2*r - 14*r.\nAnswer: -r + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 10 = -3*z, 4*z = 6*j - 2*j - 8. Let b(g) = -g**3 - 5*g**2 + 2 - g**2 + 1 + 7*g. Let v be b(-7). Solve j = -4*t + v*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(3 - 1 + 0)*(2*d**3 + d**3 - 6*d**3).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 - -19. Let o be (-13 + -1)\/(2 - (-6)\/(-4)). Let g = o - h. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 0.0643, -30, 127 in descending order.\nAnswer: 127, 4, 0.0643, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2381 = -19*t + 4611. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5047567 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 222*j + 905. Determine h(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1766.5 + -1767. What is the second smallest value in -2, k, -100?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 8*u + 1\/4*u**4 + 0*u**3 + 0*u**2 + 0. Let t(f) = 4*f. Calculate s(t(n)).\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -3 - (0 - 6). Let s = 0.1 + 0.1. Let r = 0.1 - s. What is the third smallest value in r, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -0*s + 20. Let t be -6 + -2*(-6)\/s. Which is the second biggest value? (a) -2 (b) t (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 r, 1 z, and 1 t when four letters picked without replacement from zzrjtytg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5)*(286 - 814*p + 112*p - 286).\nAnswer: -702*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-124)\/(-20) - 4\/20. Let n be (-6)\/(-1) - (-2 + k). Let x(c) = -3*c - 2 + 11*c**2 - c**2 - c**n - 10*c**2. What is x(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20200200011 - -10?\nAnswer: 20200200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -657 divided by 3.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1507407, -3014811, -4522219, -6029631, -7537047, -9044467, -10551891?\n\"Answer: -2*d**2 - 1507398*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -1)*33\/(-3). Suppose 150 = -6*v + o*v. Solve -20 = 5*n, -5*n + 10 = -5*y + v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1579213927 and 326?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpvpvvpvpvvpvppvpvpp. What is prob of sequence vv?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3098119 or 223?\nAnswer: 3098119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 3. Let h(b) = -1. Let m = -120 + 121. Suppose 4 = -3*o + 13. Calculate m*u(c) + o*h(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10105808 is divided by 66051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 240659838*g**3 + 306482667?\nAnswer: 721979514*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjegjgjjljjegljjgg. What is prob of picking 3 j?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.9 + -3. Let a = 0.4 + -0.3. Let j = q + a. Put 1, -4, j in increasing order.\nAnswer: -4, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1828\/5 + -365. Factor -6\/5*r**2 - 9\/5*r + 0 + z*r**3.\nAnswer: 3*r*(r - 3)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 57689080 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 2*d + 27. Let o be t(0). Suppose o = m - 0*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**4 - 212608*f**3 + 2828959456*f**2 - 101635978752*f + 914104263744.\nAnswer: 4*(f - 26558)**2*(f - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 0*a**2 - 2\/3*a**6 + 8\/3*a**3 + 4 + 0*a + 0*a**5 + 0*a**4. What is the third derivative of i(o) wrt o?\nAnswer: -240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -33\/91, 1459, 0?\nAnswer: -33\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwkynkk. What is prob of sequence ykk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + n**2 + 2*n - 1. Let c(m) = -2*m**3 + 5*m**2 + 4*m - 5. Let r(v) = c(v) - 2*i(v). Let p(z) = -7*z**3 + 7*z**2 - 7. What is -3*p(k) + 7*r(k)?\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 41*g**7\/21 + 3*g**4\/4 - 266*g**3\/3 - g + 1293. What is the second derivative of l(p) wrt p?\nAnswer: 1640*p**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*l - 1458 - 1031 = -824 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11070 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 894.394 nanoseconds?\nAnswer: 0.894394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.34595 + -0.05405. What is the third biggest value in 2\/11, -9, 0, c, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*w - 1706, 6*w - 3*b - 1002 = 3*w. Suppose -7*h + 117 = -w. Is (-6)\/(-39) + 8180\/h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*-20*(3 + -2). Suppose 3*l - 204 = -3*l. Let x = l - a. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + z + 2596690 + 613307, z = 5*f + 5350003. What is f rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -1 (c) -0.86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*g + 12, 0*l + 3*l - 48 = 4*g. Let i = 3 + -1. Suppose i*a = -a + 6, 5*b + 3*a - 16 = 0. Solve b*p + l = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -253 + 397. Suppose -x = 3*x - u. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32636417441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88 + 90. Let a = 1 + 3. Let p(b) = -5*b - 3*b + a + 3*b. Let k(o) = 4*o - 3. Calculate y*p(w) + 3*k(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3512419793 to the nearest integer?\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1426925 + 4*l**2 + 84*l**3 + 1426925)*(11 + 9 - 6 + 2*l).\nAnswer: 168*l**4 + 1184*l**3 + 56*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**0)**(5\/2))**(-39))**15)**(-18) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/36*(-6)\/4. Let t(v) = v**2 + 8*v + 1. Let z be t(-5). Let o be (-27)\/(-2)*z\/(-84). Is o at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6742414926?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**5\/20 + v**4\/12 + v**3\/3 + 8*v**2. Give y(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67535 is divided by 2179?\nAnswer: 2165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/3 + 38165380*q + 114496142\/3 = 0 for q.\nAnswer: -1, 57248071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 7*y**2 - 16*y - 10. Give w(-7).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2238910?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -66592 and -0.5.\nAnswer: -66592.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -488 + -136?\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40 + 75 - 127*j - 36 + j - 4*j + j + 0*j - 3*j + 2*j + (6*j - 2*j - 3*j)*(-2 - 2 + 2) - 2*j + 2*j + j - 3 + 3 - j.\nAnswer: -132*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000505 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g**2 - 3787*g + 18968. Determine k(5).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 13797?\nAnswer: -5\/13797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 + f + f**3 - 2*f - 3 + 2*f in the form y + i*f**2 + w*f + v*f**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 907\/5 + -14687\/80. Suppose 0 = -2*x + 98 - 2. What is the common denominator of y and 3\/(-4)*76\/x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24130311353645 + 15.\nAnswer: -24130311353630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 48*k**2 + 29*k - 59. Is l(-39) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 18. Calculate the remainder when 7 is divided by r(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2, -21, -88, -223, -450?\n\"Answer: -4*t**3 + 2*t**2 - t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 6*r**2 + 3*r**2)*(-16*r + 19 - 17 - 5)*(-62 + 141 + 66).\nAnswer: 2320*r**3 + 435*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 22. Let n be c(-13). Calculate the remainder when 56\/6 - ((-21)\/n + -2) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 353083 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 2*b - 52 = 0, -5*b + 25 = -8*m + 231 - 10 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 43308400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/12 (b) 3 (c) 16 (d) -11\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 8*q**2 + 8*q + 10. Let p be k(-7). Suppose 6*s + p*s = 1062. What is the remainder when s is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 + 39*k + 67. Calculate f(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (177 + -177 - (12 + (1 - 3)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -33*s + 39*s. Suppose 16 = 5*n - 4*z, z + 6 - 2 = 4*n. Suppose -4*f + 176 + 624 = n. What is the highest common factor of s and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 4:34 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 351 = -293. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3594 + 11\/(77\/(-49)) + -11. What is the greatest common factor of 24 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2\/5 - 166376*a\/5 + 8293800 = 0.\nAnswer: 250, 82938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3061.991 + 3058. Let y = s + -0.009. Let d = y - -4.12. Round d to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + 2.5. Let m = o - 0.2. Let h = 1 - m. Put 0.3, 3, h in descending order.\nAnswer: 3, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -859 or -3.47?\nAnswer: -3.47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2698600*z**2 + 1349280*z**2 + 1349301*z**2.\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*j + 2144 - 2180 - 121*j + 40*j + 37*j.\nAnswer: -2*j - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 232 + -229. Suppose 14*p - 1296 = 11*p + o*x, -4*x = p - 457. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 3*y**2 - 5*y - 7. Give n(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/3 - 460*g**3\/3 + 14*g**2\/3 + 3208*g\/3 - 920 = 0. What is g?\nAnswer: -230, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 30 - 64 + 27.\nAnswer: 2*w - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 5 (c) 4 (d) -3 (e) -14\/11 (f) -0.3 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*y - 570 = 27*y. Solve 0*j + 3*u = 2*j - y, -j - 5*u - 25 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2362035, 2362073, 2362097, 2362101, 2362079, 2362025, 2361933, 2361797?\n\"Answer: -m**3 - m**2 + 48*m + 2361989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4512710 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38\/3*g**3 + 38\/3*g - 1\/3*g**4 - 13 + 40\/3*g**2 = 0 for g.\nAnswer: -39, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*k + 79*k - 41*k - 3685 for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-1)*(-4)\/(-3). What are the prime factors of (-6 - (4 + o))*-3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owwuiuuowwwwnio. What is prob of picking 1 n and 2 u?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*r + 1)*(3*r - r - r)*(15 - 2*r - 15).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1248969 divided by -92\nAnswer: -54303\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 15 - 25. Suppose 4*o = -o + n. Let g = o + -5. Solve 4*i - v + 3 - 15 = 0, i - g = 2*v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/98 and -95\/56?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, r: 2, k: 7}. What is prob of sequence kkrr?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-4) - -2394)*(-3)\/(-6). Suppose 4*k - 1381 = -5*z, -5*z + k + 164 + h = 0. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/5 - 21318*t\/5 + 85112.\nAnswer: 2*(t - 10639)*(t - 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21393797, 21393840, 21393897, 21393974, 21394077, 21394212, 21394385?\nAnswer: 21394602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b*h**2*l + b*h*l*o - 306*b*o + 80*h**2*l*o + 4*h**2*l + h wrt h?\nAnswer: 6*b*l + 160*l*o + 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 64 + -17 + -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*h - 29*h**3 - 118*h.\nAnswer: -29*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*d + 7 - d**3 + 33*d)*(-d**2 - 1 + 0 - 1).\nAnswer: d**5 + 2*d**3 - 7*d**2 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/4 and (1788\/32)\/(27\/4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 7*k = -12*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(4*b - 4*b - b)*(-81 - 12*b**3 + 81) + (-b**4 + 3*b - 3*b)*(5 - 4 - 2).\nAnswer: 13*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -3*y**6\/40 + y**5\/60 + 158*y**2. Calculate p(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0309 (b) -4 (c) 1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, 9 in descending order.\nAnswer: 9, 8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 213, 1018, 2355, 4224, 6625, 9558?\n\"Answer: 266*b**2 + 7*b - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15950409*g**3*u**3*w**3 + 3*g**3*w**3 - 8089249*g**2*u**2*w**2 - 2*g**2*u + 2*u**3*w**3 - 3*u**3 wrt g.\nAnswer: -95702454*u**3*w**3 + 18*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - (4 - 2)) + 0. Suppose 3*k + 4*u - 5 = 0, 2*k - u - 4 = k. Find r, given that 0 + 3\/5*r - 36\/5*r**4 - 39\/5*r**k + 0*r**x = 0.\nAnswer: -1, -1\/3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42275 + -15219. Let w = m - 487127\/18. What is the common denominator of w and -32\/5?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 14*a**3 + a**2 - 4*a + 3. Let o be j(2). Suppose 0*m + m + 25 = -3*q, -4*m = q + o. Is (-204)\/m - 2\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.293 + -132.293. Let r = j - -93. Let n = 38.99957 + r. What is n rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3845 - 3843. Solve q*c + 42 = 16*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -9*v + 11. Let u(s) = -128*s - 11. Let a(m) = -234*m - 21. Let p(t) = -6*a(t) + 11*u(t). Calculate -6*k(b) + 13*p(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j = 10. What is the second derivative of -9*b**j + 4*b + 297 - 297 wrt b?\nAnswer: -180*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**6\/180 + x**5\/45 + 2*x**4\/9 - 2*x**2 - 33*x. Factor q(s).\nAnswer: -2*s*(s - 4)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6423*f**2 + 879*f + 93858539?\nAnswer: -12846*f + 879","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 109, 893, 3019, 7159, 13985, 24169?\n\"Answer: 112*c**3 - c**2 + 3*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1629254187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 73 (b) -0.18 (c) -4 (d) 2\/19 (e) -15\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17080787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*u**3 + 2\/5*u**2 + 0*u + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**5 + 660*i**4 + 59944*i**3 - 8476080*i**2 - 288396000*i + 1285200000 = 0.\nAnswer: -105, -34, 4, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 2 - (-2 + 3 - 6)) + -4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 80*i - 539. What is t(-7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3783854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 166*p**5\/5 + 16*p**3\/3 - 251*p + 1172. Differentiate s(a) with respect to a.\nAnswer: 664*a**3 + 32*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - j - 3*j)*(1 - 1 + j)*(-1 - 2 + 4 + (4 - 2 + 0)*(-3 + 0 + 2) - 2 + 4 + 4 + 0 - 2 + 5 + (1 + 0 + 0)*(-2 - 4 + 5)).\nAnswer: -63*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(9 + -79) + (90\/(-24) - (-4)\/1)?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99602 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*k - 370 = 0, 5*k + 81 = -q + 273. Calculate the least common multiple of q and 26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -5, -0.15, 9.27, 21, -1, 1\/6?\nAnswer: 9.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - 3\/(81\/6). Suppose 29*o - 11*o = 3024. Let c be (-2)\/(-21) - (1304\/o + -7). What is the smallest value in -0.2, c, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 101*(-1*(-6)\/4)\/(258\/172)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/117 - -1) + 4 + -5. Let x = 4\/13 + a. Is x equal to -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by 2.\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 243 - -377. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4823427 and 1743.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(42)\/sqrt(96) + (-1 + sqrt(7))*-4)**2 - (sqrt(2268) + (sqrt(2268)*1 - sqrt(2268)) - sqrt(63))\/((1*sqrt(99))\/sqrt(11)).\nAnswer: -185*sqrt(7) + 5493\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7 = 5. Let t(j) be the first derivative of -6*j**2 - 69*j - 13. Let z be t(-6). Solve -z*c - 1 = -d*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(567) + 2 + (sqrt(567) + 1*sqrt(567))*6 - (sqrt(175) + -4 + sqrt(175) - sqrt(14)\/(-2*sqrt(2))))**2.\nAnswer: 1062*sqrt(7) + 219447\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 - (-42)\/(-9). Suppose 0 = 5*l - 3*l - 2*o + 4, -2*o = 3*l - 14. Let n be (-4)\/x + -3 - l. What is the second smallest value in 2, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (39\/(-6) - 3)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2428.825 micrograms in milligrams?\nAnswer: 2.428825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 5*w + 103, 0 = 3*f - w - 29 - 34. Suppose 53 + f = 3*l. What is the remainder when l is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 26106\nAnswer: -365484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(108)*2 + 4 + 2 + sqrt(108) + -1 + 5 + -3)*-1)**2.\nAnswer: 4032*sqrt(3) + 16336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 15715.\nAnswer: 6286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3 = -3*a + 12, 0 = -3*u + 9. Let w = 10 - a. Solve 5*k - 4*t = 20, w*k - 3*t = -k + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -12) + 1 + 1 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -3*m**2 + 17. Let i(j) be the first derivative of -j**2\/2 - 32. Give q(i(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 1281.\nAnswer: 10248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/6)\/((-1)\/(-3)). Suppose 4*w + 2*t = 54, 4*t + 33 = 2*w + 3*t. Suppose j + 3 = 4*g, 6*g = g - w. Put p, -5, j in ascending order.\nAnswer: j, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53881 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -107848\/4223 less than or equal to -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.049 - -0.231. Let k = 1.72 + g. Let q = 62 - 64. What is the smallest value in 2\/21, q, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954666970 rounded to the nearest one million?\nAnswer: 1955000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -bb947 (base 14) to base 11\nAnswer: -2905a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 + 12*n - 5. Let z be i(5). Suppose -3*h + 77 = -4*w, z*h + 5*w - 122 = 18. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94724 and 1231888.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11893197 is divided by 629.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 156, 412, 904, 1710, 2908?\nAnswer: 4576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 2806841257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-13 - -12 - 11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 96, 408, 928, 1656?\n\"Answer: 104*h**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -2 + (-5 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -2*p**3\/15 - 38*p**2\/5 - 144*p - 1317. Factor u(c).\nAnswer: -2*(c + 18)*(c + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 6393 + 20673 = 0. Suppose 0 = 15*y - 11*y - u. Suppose -w - 3*d = 2*d - y, 3*d = -6. What is w rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45664044 (base 8) to base 4.\nAnswer: -211312200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/3094 and -27\/1190.\nAnswer: 15470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 - c - 7. Suppose 0 = -4*x + 5*v + 15, -5*x - 3*v = -0*x - 28. Let j be b(x). Let s = j + 88. Calculate the remainder when s is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 11:25 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1389 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/15 and -44\/108565.\nAnswer: 325695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-44787)\/2)\/(5\/(-10)). Suppose -13974 = -4*v + 2*v - z, 4*v - 27948 = -5*z. Suppose 2*x - v = -m. Round x to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z. Let s be ((-13)\/5 + 0)*-5. Let t = 15 - s. Let b(v) = -v**2 + 3*v**2 + 0*v**2 - 4*v**t. Determine b(k(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p - 35. Let o be x(-15). Let i = 156 + o. Solve 0 = k + 3*j + 15, 5*k + 4*j = -0*k - i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 bigger than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -542234249*n - 6*n**2 + 542234249*n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*k - 4*q = -6, 0 = 3*k + 5*q + 3. Let a be 4\/k*(-9)\/3. What is the third derivative of 3 + x**3 - a*x**2 - 3 wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40585 and -0.2.\nAnswer: 8117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0431 - -0.0731. Which is the third biggest value? (a) -34 (b) 3\/4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1191 is divided by 79.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.3 + -5.2. Let m = -0.54 + 0.55. Let u = 3 + 2. What is the nearest to k in -0.5, u, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 6:57 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 43*t**7\/6 + t**5 + 77*t**3\/2 + 13*t**2\/2 - 2*t + 3510. What is the second derivative of x(m) wrt m?\nAnswer: 6020*m**3 + 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107 - -112. Suppose -l*x + 3*x + 1056 = 4*b, 0 = -b + x + 267. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2684*f**3 - 324*f**2 + 13892*f**3 + 981*f**2 - 332*f**2 - 325*f**2.\nAnswer: 11208*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 111 = 3*m, 0 = -3*v + 2*v + 3*m + 29. Suppose 4*u - 78 = 154. Let p = u - v. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3\/(r\/(r\/(r*r**(-1\/3)*r*r)))*(r\/r**(2\/7))**(-6\/19))\/(r**(-2\/5)*r**(-1\/3))**(-34) assuming r is positive.\nAnswer: r**(-16509\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 20875*q. Let j(c) = 2*c**2. What is j(v(u))?\nAnswer: 871531250*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183300?\nAnswer: 2, 3, 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 61*h**2 - 70*h + 18. Let t(p) = -30*p**2 + 33*p - 8. Give 4*j(d) + 9*t(d).\nAnswer: -26*d**2 + 17*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 11, r: 9}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75094 + -75094.0000200093. What is v rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012000112 (base 3) in base 16?\nAnswer: -a811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 14*f**2 - 17*f - 44. Determine a(-15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 16*n + 14. Let m be y(-6). Let x = m + 123. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 + 15*v**3 + 6*v**3 + 3*v**3 - 29*v**3 + 11*v**3 to the form b + y*v + p*v**3 + i*v**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o + 18. Let c be i(8). What is the third derivative of 0*z**c + 119*z**3 + 10*z**2 - 104*z**3 wrt z?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76663 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -194436225 and -2197?\nAnswer: 194434028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*f**2 + 559*f**2 - 266*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 2*s**3 + 5*s**2\/2 + 2*s - 1. Let q be (-4)\/(-24) + (-51)\/(-18). Let y(l) = 5*l**2 + 4*l + 2. What is q*r(n) - 4*y(n)?\nAnswer: -2*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 16345.\nAnswer: -12\/16345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*m**2 + 170*m**2 + m**3 - 508*m**2 + 174*m**2 - 22958*m.\nAnswer: m**3 - 22958*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -716*m + 523. List the prime factors of f(-5).\nAnswer: 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 99042, 98913, 98784, 98655, 98526, 98397?\n\"Answer: -129*r + 99171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 + 59. Let g = 36.04 + t. Let k = -0.9599961 - g. What is k rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 33 = -2*g. Find the third derivative of -12*c**2 + c**2 + 2*c**g + 7*c**6 wrt c.\nAnswer: 1080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 1, o: 2, x: 1, d: 1, y: 1}. Give prob of sequence vx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 1:20 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-264 + 255 + (2 - 1) + (-3 - -15)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 a when three letters picked without replacement from {b: 4, a: 2, u: 7, f: 2, h: 1}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -27511596 divided by 16308\nAnswer: -1687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/(-75))\/(24*(-6)\/180))\/(-7).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2766 divide 250773858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2667 is divided by 2618.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31449 + -20837. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 29359 and 29162 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293339466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2. Let n = 3 - 1. Let x(a) = 3*a**2 - 3*a. Let l be x(n). Let g(d) = -3 - l*d - 3 + 6. What is c(g(q))?\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 362 - 132*y - 215*y - 16*y + y**2 = 0. Calculate y.\nAnswer: 1, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6930337*c**4 - 12158965.\nAnswer: -27721348*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v**3 - 7*v**2 + 3*v + 3. Let h(a) = 423*a**3 + 2 + 0 + a - 1 - a**2 - 422*a**3. Calculate 3*h(y) - s(y).\nAnswer: -3*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9469897*v**3 - 9469895*v**3 + 18939787*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*g + 642, 6*o - 4*g - 330 = 4*o. Does 25 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -608 divided by -9.\nAnswer: 608\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*l + 1532*l = -41884 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 9*r = 8*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 18 = 9*n. Suppose -3*z = 3*r - r + 2, -n = -z + 2*r. Suppose 3*p = z, -4*d - 45 + 257 = p. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 8 = 5*o + 12, o + 4*k = -4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 712283467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4619 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*o = -3564 + 25466. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708597.\nAnswer: 3, 43, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 6:21 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 250 - 246. Suppose 0 = -f*y - 20, 2*s + 14*y - 16*y = 3026. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 11612*k**3 + 4*k**2 + 11779*k - 124. Let t(j) = j**2 - 31. Let f(g) = -a(g) + 4*t(g). What is the second derivative of f(y) wrt y?\nAnswer: -69672*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*t + 6 - 18, 4*t = 5*k + 36. Let w be ((-1)\/t)\/(-3 - -2). Suppose -1\/4*b - 1\/2*b**2 - w*b**3 + 0 = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24, 52, 70, 78, 76, 64, 42?\n\"Answer: -5*s**2 + 43*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3415*n + 2753*n - 6 + 7.\nAnswer: 6168*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21888239 to the power of 1\/2, to the nearest integer?\nAnswer: 4678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 0 + (-94798477)\/93. Let b = -1019361 - q. Let o = -27\/31 - b. Find the common denominator of o and -57\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/6)\/(-7)*3084\/(-2). Let d be m*(-3)\/(-6) - -2. Let y = d - 91. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19257.4 and 15644?\nAnswer: 34901.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + -25. Let b = 74 + x. Solve -13*n + b*n - 6 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34 and ((-198)\/44)\/(3\/(-34)).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 10*p - 7. Let u be d(7). Suppose 12*h + 4 = u*h. Suppose -3*b + 2*q - 1695 = -6*b, 0 = h*q. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307834363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 9*t**2 + 4. Let d(n) = n**3 + 4*n**2 - 11*n + 13. Let w be d(-6). Give c(w).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -105732591051?\nAnswer: -105732591051.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 87155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 564126280 to the nearest integer?\nAnswer: 23751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.184 + -274.816. Let i = 275.5 + p. What is the second smallest value in -2\/7, i, -2, 1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 15, 1 in decreasing order.\nAnswer: 15, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5*p = -27, -5*d - 4*p = -23 - 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-9)\/168 - 0\/(-6)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -506*f**2. Let t(z) = -5*z**2. What is t(b(u))?\nAnswer: -1280180*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4340 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21 + 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 4*c + 1. Let u(b) = -b + 1. Suppose 81*p - 106*p = 50. Calculate p*u(r) - m(r).\nAnswer: -2*r**2 - 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/7 - 2850*a**2\/7 + 17014*a\/7 + 2838.\nAnswer: 2*(a - 1419)*(a - 7)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*g + 18*g + 66 = 0. Solve 15 + g = 9*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 5:19 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 2, n: 1, l: 3, p: 3}. Give prob of picking 1 p and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 58, -171, -4, -7 in decreasing order.\nAnswer: 58, -4, -7, -11, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2 - 24660\/14. Let z = 1756 + b. Find the common denominator of z and -21\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -132691, 2, 344 in ascending order.\nAnswer: -132691, 2, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26668649 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(24))\/sqrt(8) + 5 + sqrt(48) + -1 + sqrt(192) + 4 + 2 + (sqrt(192) + (-1 + sqrt(192))**2 - sqrt(192)).\nAnswer: -sqrt(3) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12446.92ml in litres?\nAnswer: 12.44692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 7*z**2 - 7*z + 22. What is the remainder when 29 is divided by h(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}