diff --git "a/data/dm_maths/full_data_1/171_11255.jsonl" "b/data/dm_maths/full_data_1/171_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/171_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the ith term of 3468, 3483, 3472, 3423, 3324?\n\"Answer: -2*i**3 - i**2 + 32*i + 3439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -0.324, 1.6.\nAnswer: -0.324, 1.6, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 24*r + 46. Let q be d(-22). Solve -q = 19*n - 17*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) -0.5 (c) 3\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -9, 4, 36525 in descending order.\nAnswer: 36525, 7, 4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3960\/(-594))\/((-10)\/(-12)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5730.\nAnswer: 2, 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 185\/4 + -46. What is the closest to 0 in i, -5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-151*r**2 - 1827 + 1827)*(-2*r**2 + 5 - 5 + 2*r) to u*r**3 + x + a*r**4 + m*r**2 + b*r and give a.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t. Let n(d) = -1. What is -2*n(j) + v(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5653604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -235 and -235 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**6\/20 + 2*g**5\/15 + g**4\/12 - 3*g**2\/2 - 3. Let m(o) be the second derivative of y(o). Factor m(r).\nAnswer: 2*r*(r + 1)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 13090*d**2 - 409*d + 409. What is the hundreds digit of t(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4598284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4971 - -4952. Let g(m) = m**2 + 23*m + 72. What is g(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157321 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-16)*r**(1\/7))\/(r**(-2\/29)\/r**7))**(2\/45) assuming r is positive.\nAnswer: r**(-1054\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639 is divided by 101.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 49. Suppose 2*a - 4*w = -9*w + 4, p*a - 8 = -4*w. Factor -13*x**2 + 4 - 6*x**2 - 11*x**2 - 3*x + 29*x**a.\nAnswer: -(x - 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -383 + -114. Let q = r - -1513. Let o = 1015.9577 - q. What is o rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.1 - 3. What is the closest to -1 in r, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 53 = 37. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -11*n - 14*n. Is 2 a factor of -2*(n + 42)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48898 times 1649\nAnswer: 80632802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -79*k**2 + 3*k - 3. Let a(f) = 2054*f**2 - 79*f + 79. Give -3*a(z) - 79*y(z).\nAnswer: 79*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -630443*q**3 - 694823*q wrt q?\nAnswer: -3782658*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - 7. Let f be l\/8 - (-3)\/(-12). Is f > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((6 - 3) + -4 + 11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-5*(sqrt(80)*1 + sqrt(80) + 0) + (sqrt(80) - (sqrt(80) + 0)*-3 - sqrt(80)) + (sqrt(80) - (sqrt(80)*-1 + sqrt(80))) + -2)*-1 + 5)**2.\nAnswer: 336*sqrt(5) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414750627 to the power of 1\/2, to the nearest integer?\nAnswer: 20365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgkq when four letters picked without replacement from {q: 1, l: 2, k: 2, y: 2, h: 3, g: 2}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2510 - 2507. Let q be 0\/(-1) + (16 - -5). Solve -2*p + 9 = -4*g - q, -2*g = h*p - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(132) - -4*(sqrt(132) + 2*sqrt(132) - sqrt(132)))\/(sqrt(12) - sqrt(24)\/sqrt(2)*2).\nAnswer: -9*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -670042248427 - -1.\nAnswer: -670042248426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 4*l - 42. Let s be p(6). Calculate the lowest common multiple of (-8 - (0 + -7)) + s and 77.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70746 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or 21.1?\nAnswer: 21.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110121212021102 - 1010?\nAnswer: -110121212022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344 divided by 172.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7 = d - 4*n, 0 = -4*d - 4*n - 8. Let v = 16 - 18. Let t = -0.2 - -0.3. Which is the third biggest value? (a) v (b) d (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-91)\/(-3) + -1 - 8\/(-12). Let t = 27 + v. Let i = 19 - 4. Calculate the remainder when t is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021855 to 4 dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 10 - 2. Factor 4*r - 4 - 2*r**3 + 0 - 3*r**2 + 6*r**2 + 0*r**t - r**4.\nAnswer: -(r - 1)**2*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/6 + 127*z**2\/3 + 499*z\/2 + 372.\nAnswer: (z + 3)**2*(z + 248)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*p - 69, -3*p - 2*z + 55 = 3*z. Let b = -21 + p. Let o be ((-4)\/b)\/(2\/360). Calculate the greatest common divisor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -114*s - 3895 - 1411 + 404 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g + 81. Calculate the remainder when 327 is divided by h(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-9) - (-24)\/108. Suppose n = -5*r - f*n + 26, 5*r - n = 34. Let z(v) be the second derivative of -v**5\/20 + v**4\/2 + v**2\/2 + 4*v. Determine z(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h**3 + 1 + 2 - 3*h**3 in the form p + o*h**2 + i*h**3 + r*h and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16966, 16919, 16838, 16717, 16550, 16331?\n\"Answer: -c**3 - 11*c**2 - 7*c + 16985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -0.2 (b) 2\/3 (c) 18 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*x + 0*x + 2*x**2 - 2064 + 1032 + 1033 as i*x + c + l*x**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 16\/(-10))\/((-4332342)\/(-108580)).\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1363768 and 24424.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 347?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 3*v**2 + 3*v + 5. Let j(n) = -n - 1. Let d(i) = 14*i + 197. Let u be d(-14). Give u*a(l) + 3*j(l).\nAnswer: l**3 + 3*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25669.\nAnswer: 7, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1516697 + -1516697.02199842. Let c = -0.022 - g. Round c to seven dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 - -66. Let j = w + 29.7. Let i = j - -0.299. What is i rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or 120?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4*sqrt(121) - sqrt(121)))\/((2*sqrt(132))\/sqrt(12)).\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 164\/(-84) + ((-6)\/(-21))\/1. Let u be (-3 + 2)*6\/10. Put u, g, -1\/7 in decreasing order.\nAnswer: -1\/7, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 8 - -2) + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*u - 2*l, 3*u = -3*l - 2*l - 8. Suppose 9 = u*q - q. Let x be (2*q\/(-6))\/(-1). Round x to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/984?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3014402422 - 0?\nAnswer: 3014402422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - v + 3 = -0, 0 = v + 2. What is the biggest value in -0.1, 0.4, t, -3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13313, 14699, 16085, 17471, 18857?\nAnswer: 20243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*a + 801 = -1 - 524 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15444 and 3740958.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*w - 1. Suppose -83*u + 80*u + 24 = -5*t, 3*t = 4*u - 21. Which is the nearest to u? (a) -0.3 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 2*t + 1. Let m(a) = -3*a**3 - a**2 - 13*a. Let d(z) = -m(z) + x(z). Let v(i) = i**3 + i. Determine -d(c) + 5*v(c).\nAnswer: 2*c**3 - 10*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114660 by -260.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d + 3581 = 3869 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/8 - -29\/120. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2 - 4*a - 171. Let t(k) = -k**2 + k + 34. Calculate -11*t(s) - 2*y(s).\nAnswer: s**2 - 3*s - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3637 is divided by 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -168 and -130?\nAnswer: 21840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 6:51 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or -4010?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * -0.2\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 8*g**3 - 11*g**2 - 7*g - 15. Let t(d) = 19 + 3*d**2 - 4*d**3 - 26 + 8 + 2*d**2 + 3*d + 6. What is -7*t(v) - 3*x(v)?\nAnswer: 4*v**3 - 2*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 20\/9, 0.1, -3\/11, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + z - 393 = 0, -z + 100 = x + z. Suppose 2*i - 4*w = 3*i - 43, -5*w = 5*i - 230. Let j = x + i. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3996.2955 + 3972.3. Let n = -24 - o. What is n rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -7*j - 128. Let o(x) = 5*x + 126. Calculate -3*o(k) - 2*w(k).\nAnswer: -k - 122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from {o: 1, t: 1, e: 1, r: 1, p: 2, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*f + 293 - 4934 = -23*f for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 5*b**2 + 2*b + 3. Let c be i(-6). Suppose -5*v = -23 - c. Suppose 0 = 4*y - 21 - 7. Calculate the least common multiple of y and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 256669602.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6735623 rounded to 3 decimal places?\nAnswer: 0.674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 9:37 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 8:52 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5509 - -5509. What is the closest to 5.9 in -2, -5, 1\/6, c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -154\/9 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*(4 + sqrt(612) + sqrt(612)*1 + -4*(sqrt(612) + -1) + 0).\nAnswer: -48*sqrt(17) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 170*o**2 + 60*o + 2145 - 147*o**2 - 102*o wrt o?\nAnswer: 46*o - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 25.38. Let y = 1.88 + z. Let s = y - 1.6. Sort s, 4, 0 in descending order.\nAnswer: 4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1576318000 rounded to the nearest 1000000?\nAnswer: -1576000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1335.3334 - 1335. What is c rounded to 2 decimal places?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2, 2*f - 4*g = 7 + 5. Let y(w) be the second derivative of -1\/16*w**f + 0 - 4*w - 1\/8*w**2 + 1\/8*w**3 + 1\/80*w**5. Factor y(b).\nAnswer: (b - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 12507*p - 50022. Give w(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120267441?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/13)*w**2)\/(w**6\/w**(-2\/13)) assuming w is positive.\nAnswer: w**(-55\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -o - o. Let g(f) = 5*f**2 - 11*f + 6. Let b(r) = 11*r**2 - 23*r + 13. Let l(t) = -6*b(t) + 13*g(t). Let w be l(o). Let s(m) = m**3 - m. Give s(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7260 divided by 15?\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/1921 + 5773\/9605. Suppose 0*x - 12 = -4*x. Suppose 1\/5*h**5 - 3\/5*h**4 + 0 + 0*h - 1\/5*h**2 + t*h**x = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**4\/4 - 20*o**3\/3 - o**2 + 34*o + 30. Let i be f(20). Let x(d) = d**2 + 5*d - 2. What is x(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45567891119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 20. Let z = 22 + -22. Let v be x(z). Let t(h) = -63 + v*h + h + 63. Let f(m) = 2*m**2. What is f(t(b))?\nAnswer: 882*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -805*a**4\/24 - 19*a**3\/2 + 52*a**2 - 2. Is c(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 3, -2, -896, -4 in descending order.\nAnswer: 3, 1, -1, -2, -4, -896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1183*v**2 + 1183*v**2 - 422*v**3 - 390*v**3 + 1235*v**3 - 424*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*r + 19, -2*i + r - 2 = -i. Let f be ((-5)\/2 + i)*0. Solve f = d + 2*v + 6, -4*d - 3*v - 23 = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -3 in ascending order.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 10) to base 6\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6929*j**2 + 165*j + 31 - 31 - 165*j in the form x*j**2 + l*j + y and give x.\nAnswer: -6929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 1\/3, 0.2, -0.5, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81*r**4 + 2305*r**3 + 21*r**2 - 2*r + 51957766 wrt r?\nAnswer: -972*r**2 + 13830*r + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 264 - 263.9. What is the closest to k in -2\/13, 1\/14, -4?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 13 + 83 = 0. Suppose p = -3*t + 7*t. What is o in -4*o**5 - 4*o + 2*o**4 - 4*o**2 + t*o**3 - 1 + 0*o**4 + 3 = 0?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 h when three letters picked without replacement from {n: 3, h: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 275674585 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -489368 or -489367?\nAnswer: -489367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2794122040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (7397 - (-1 - 0)). Is c\/35 - 2\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 2\/17, 2\/11, -0.67?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((2 + (-2*sqrt(2448))**2)*3 - (-3*1*sqrt(2448)*-1)**2) + 3)*-5*2.\nAnswer: -73530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12064 - -4?\nAnswer: 12101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210940 and 100?\nAnswer: 1054700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7404856 years in months?\nAnswer: 8.8858272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(425) - sqrt(425))*6 + -2 + (sqrt(425) - 2*sqrt(425)) + 3*(sqrt(85)\/sqrt(5) + -2 + ((-1 + sqrt(17) + -1 + sqrt(17))**2 - sqrt(17))).\nAnswer: -29*sqrt(17) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 15766*v + 2 + 15805*v - 381*v**3 - 31571*v.\nAnswer: -381*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 8 = 3*x. Let a(u) = -57*u + 10. Let j be a(x). Suppose -8*q = -q - j. Is q a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1003158298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 423 and 142551.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3172 greater than -0.859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13584, -27141, -40684, -54207, -67704, -81169?\n\"Answer: v**3 + v**2 - 13567*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/(n\/(n**16*n))))\/n)\/n*n*n**10*(n**(-5\/8)\/n)\/(n\/n**(3\/11)) assuming n is positive.\nAnswer: n**(-735\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 3*i**5\/10 - 5*i**4\/3 + 4*i**3\/3 + 5*i**2\/2 + i. Let v(s) be the first derivative of x(s). Suppose v(z) = 0. What is z?\nAnswer: 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-1 - ((3 - -4) + -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*a + 10 = 72*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 4)*-2 + 508. Suppose 334 + a = 12*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:11 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -472752 - -893959. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 35*c**3 - 3*c**2 + 18*c + 3. Let x(u) = -71*u**3 + 5*u**2 - 37*u - 5. Let p(g) = 5*o(g) + 3*x(g). What is the second derivative of p(i) wrt i?\nAnswer: -228*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 2*x. Let u be ((-2)\/(-30))\/((-7)\/(315\/27)). What is the third biggest value in u, 12, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204115686 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 12*s + 2. Let d(v) = v**3 + 3*v**2 - 2*v - 3. Let p be d(-4). List the prime factors of r(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7754780 divided by -3839?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k + 13 = -97 - 20. Suppose -5*j = -10*j + 60. Let s be (-2)\/j + 187\/(-66). Put 5, s, k in increasing order.\nAnswer: k, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 divided by -23?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 6:12 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12.104 * 0.08\nAnswer: 0.96832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + c + 180 = 0. Suppose -152*d = -385*d + 5359. What is the remainder when c is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27447, -54877, -82287, -109677, -137047, -164397, -191727?\nAnswer: -219037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78154668.\nAnswer: 2, 3, 1097, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435*n + 432*n - 874*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*c = -48*c - 62*c + 36 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 8*f**2)*(1 - 3*f**2 - 1) - 6*f - 2*f**4 + 6*f + (3 + f - 3)*(-3*f**3 + 6 - 6).\nAnswer: 19*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, h: 1, b: 1, x: 1, o: 2, r: 1}. What is prob of sequence oxhr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -223223*x**3 + 1573*x**2 + 3146*x - 3146. Let v(q) = 284*q**3 - 2*q**2 - 4*q + 4. What is -1573*v(z) - 2*y(z)?\nAnswer: -286*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -592, -380, -168, 44?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)\/sqrt(576))\/(sqrt(490) - -3*sqrt(490))*-4 + 4)**2.\nAnswer: -sqrt(3)\/7 + 50179\/3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117 + 1 + 21 + -10 + (24 - (-14 + 48))?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119 + 70. Let f = -46 - w. What is the lowest common multiple of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-8)*k)\/(k\/(k*k**4*k)))\/((k*k**(-5\/3)*k*k)\/k*k**(-3\/5)*k))\/((k\/k**0)**(3\/28)*k**(-6)\/((k*(k**1*k)\/k)\/k)) assuming k is positive.\nAnswer: k**(2167\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/1037 (b) -2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 2:36 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 230 + -228. Is q bigger than -32\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 26*j**2 - 2*j. Let g(o) = -2*o**2 + 1. Let m(i) = d(i) - 4*g(i). Suppose 6*h = 3*h + 6. Is 28 a factor of m(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-1) - (-51 + 50) - -13.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -101101020221200 (base 3) to base 7\nAnswer: -64613346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**3\/3 + 489*j**2 - 977*j + 1465\/3 = 0?\nAnswer: 1, 1465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -818 divided by -680691.\nAnswer: 818\/680691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 22*s - 103. What is the remainder when 26 is divided by m(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 32. Let a be n(0). Suppose a = -2*j + 5*r, -2*j + 3*r - 61 = 3*j. Let y = j + 20. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 94*n - 2846. Calculate q(32).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 11:10 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19954554?\nAnswer: 2, 3, 3325759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 7*q + 5*k, 3*k = 2*q - 0*k + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -14?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101333223 (base 4) to base 13.\nAnswer: -2771a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 2*u**2 + 6623. Let m(c) = -675*c. Give m(g(v)).\nAnswer: -2700*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -846*c**3*l - 13*c**2*l + 4*c**2 wrt c.\nAnswer: -5076*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3151011 + 0?\nAnswer: 3151011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3064 divide 188717888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 611 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -1 (b) -5 (c) 178786 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 13) to base 10.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/21 or 374373?\nAnswer: 374373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21102331 + 13?\nAnswer: 21103010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/(3*(-4)\/12). Let -195*p**3 - 33*p**5 + 8*p**2 + 67*p**2 - n*p**5 - 10*p + 115*p**4 + 90*p**4 = 0. Calculate p.\nAnswer: 0, 1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-seven halves of a millimeter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/61, 379440\/13, 2 in ascending order.\nAnswer: -10\/61, 2, 379440\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, v: 13, c: 2}. What is prob of picking 2 c?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*v - 4 + 47*v + 4 + 0.\nAnswer: -31*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1456454?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 12*w - 180. Calculate the smallest common multiple of w and 1 - 3\/(12\/(-16)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(5\/4)*(w\/w**(6\/5))\/w*(w\/((w*(((w**(-4)\/w)\/w)\/w)\/w)\/w))**(6\/5) assuming w is positive.\nAnswer: w**(237\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) 0.35 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3684 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -22*n + 86*n - 29*n - 40*n. Let g(a) = 3*a - 2. Let w(x) = x - 1. Let z(b) = -3*g(b) + 6*w(b). Determine s(z(q)).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21413434 - 21?\nAnswer: 21413413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2309062?\nAnswer: 2, 7, 23, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from voafvak. What is prob of picking 2 v and 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 - 15*t**2 - 83*t + 251. Is 131 a factor of p(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 19689*h = 19693*h - 30, 4*h = -12 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/18 - ((-170)\/105)\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3622201 (base 8) to base 2\nAnswer: -11110010010010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 25*t**3 + 2*t**2 - 5*t + 2. Let h be k(3). What is the greatest common divisor of h and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19788 and 14304.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18 and 0.0826.\nAnswer: -17.9174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x - 167*x - 707 = 139 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(22\/12 + -2). Suppose 14 = -5*d - r. Is (-235)\/d + 3\/(-4) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*t - 22 = 5*f - 124*t, -2*f + 4*t - 16 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*y**2\/7 - 117*y\/7 - 15\/7 = 0. What is y?\nAnswer: -1\/8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-726)\/623)\/(-1) + (-138)\/6141?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6841 + -2?\nAnswer: -6843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = j. Suppose -20 - 4 = -j*d. Let g = d - 4. Solve 6*v = g*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 25. Let l = 21.692349 - 35.692426. Let w = x + l. Round w to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 3. Let b = 1464778 - 1464760.00039. Let x = i - b. What is x rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2010995.\nAnswer: 5, 7, 57457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 20*i - 160.\nAnswer: 5*(i - 8)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10067 is divided by 273.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)\/f)**(-3\/10)\/(f**10*(f**(2\/9)*f)\/f) assuming f is positive.\nAnswer: f**(-175\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 11:26 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 8236350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*n**2 - 2382*n + 2381*n + 477 - 21*n**2 + n**2 - 4*n**2 + n**2 + (4*n - 4*n + n)*(n + 0*n - 2*n) + 4*n**2 - 3*n**2 + n**2.\nAnswer: -3*n**2 - n + 477","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = 13*q - 15, 0 = 3*n + 2*q - 51. What is the remainder when n is divided by 3\/9*(6 + 48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 669845 and 2508?\nAnswer: 8038140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 348705 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32444.4t to nanograms.\nAnswer: 32444400000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 219*5\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 2022?\nAnswer: 16176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*y + 8, 2*t + y = 10. Let w be -1 + t\/(1 - 0). Factor 1\/3*i**3 - i**w + 0 + 2\/3*i.\nAnswer: i*(i - 2)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 2*m**2 + 2*m**2)*(-91*m - 256 + 256 + (2*m + 3*m - 2*m)*(-5 + 1 + 3)).\nAnswer: -188*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -95277*l - 190557. Determine d(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182 and 23478?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.162 - 0.1819. Let x = o - -5.0399. Let h = -0.02 + x. Which is the closest to 8? (a) 0 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**5\/20 - 3*i**4\/2 + 18*i**3 + 48*i**2 - 17. Let t(s) be the second derivative of x(s). Factor t(a).\nAnswer: 3*(a - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*w - 6854 = 2396. Calculate the greatest common factor of w and 860.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 42 = -4*l - 2*p, 2*p - 90 = -2*l. Suppose -4*g - 5 = -u, -5*u + 82 = -0*u - g. What is the remainder when (122\/8)\/(12\/l) is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186211573?\nAnswer: 10313, 115021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4324*g*r*x**3 + 2*g*r*x**2 + 115*g*x + 2*g + 8*r**3*x**3 + 2*r**3*x**2 + r**2 wrt x.\nAnswer: 25944*g*r + 48*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252*i + 666 = 270*i. Suppose -18*w + 220 = i*w. Calculate the remainder when (-3)\/(-1)*(-1 + 8) is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*j = 4. Suppose -3*a - 61 = -j*a. Suppose 3*t - 46*o = -49*o + 159, 2*t - 4*o = -20. Calculate the remainder when a is divided by t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-8))\/((-20)\/160).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7106 and 712538?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**3\/3 - 3*k**2 - 14*k. Suppose -t + 3*t = 5*o - 8, 4*o = 4*t - 8. Suppose -6 - t = -3*b. Give u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 10*c - 53. What is the remainder when 131 is divided by i(8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32694154 and 92618?\nAnswer: 32694154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 2\/(-4))\/(99\/18 + -7)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 12:36 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.942 and 1?\nAnswer: 6.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/110 and -11\/135.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14171433 and -0.5.\nAnswer: 14171432.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 71*n - 1015. Let i be h(-85). Calculate the highest common factor of 75 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 5*u - 2 + 7 - 4. Let p be v(-5). Is p smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2527 is divided by 938.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - j + 0*j - 23*j**2 + 4*j**2 as x*j**2 + n + i*j and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**(-1\/4))*n*n)**48*(n\/n**(1\/2))\/n**4 assuming n is positive.\nAnswer: n**(257\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 3, 8 in descending order.\nAnswer: 8, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 140110 (b) -1\/5 (c) -1\/3 (d) 0 (e) 2\/19 (f) -0.5 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12100 (base 4) to base 9.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1071)\/(-240))\/((810\/(-72))\/1) and 19\/65.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggqnotqooqo. What is prob of picking 1 t and 2 g?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i - 1449*i**2 - 23*i**3 + 1533*i**2 + i wrt i.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -35*l**2 - 2*l + 250353. Let v(w) be the third derivative of -w**5\/60 - w**2. Determine u(v(i)).\nAnswer: 70*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 40 = 11*z. What is the second derivative of 10*n**4 - 4*n**2 - 2*n + 23 + 4*n**2 - 6*n**z wrt n?\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 376 and 294590266.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 3 - 2 - i)*(-139 + 143 + 75).\nAnswer: -158*i + 79","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 40, -3, 88, -8.\nAnswer: -8, -3, 2, 40, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -123, -237, -351, -465, -579?\n\"Answer: -114*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*c**4 + 15*c**4 - 5*c**4 - 13*c + 5*c**3 to n + o*c**2 + q*c**3 + x*c**4 + r*c and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 386202286 to the power of 1\/2, to the nearest integer?\nAnswer: 19652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 22*g**2 + 24*g - 40. Let y be o(-12). Suppose 12*q = 17*q - y. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1717, -6829, -15339, -27247?\n\"Answer: -1699*q**2 - 15*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73023235?\nAnswer: 5, 14604647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40 - -14)*(-1)\/2. Suppose 2*s + 4*p = 28, -s + 0*s - 3*p = -t. Let f = s - 8. What is the smallest common multiple of 10 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -124 + 1532. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/24168 and 83\/2.\nAnswer: 24168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5 = 0, 2*i - 6*z = -3*z + 13. Suppose 4*g + 3*l - 9 = g, i*g + l = 19. Solve 2*y - g = 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 428 = -5*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -546564835 minus 4.8?\nAnswer: -546564839.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oommmaaoaaaoaa. Give prob of sequence mmo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -4. Suppose -6*i = -r*i. Are -3\/5 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - 2. Let g(x) = x**2 + 3*x + 6. Let k be g(b). What is the highest common factor of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 + 4 + 3 - 5 - 16*h**2 - 239*h**2 wrt h.\nAnswer: -510*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29732 is divided by 5931.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -342, -513?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) 0.2 (c) -11 (d) -0.3386 (e) 3 (f) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4\/(-5))\/((-4)\/(-2))*-235 is divided by 71?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 61, 167, 271, 373, 473, 571, 667?\n\"Answer: -j**2 + 109*j - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + -9 + 9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172, -172, -168, -160, -148, -132, -112?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 6:29 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 254*q + 2364. Calculate z(-8).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738793 is divided by 369395.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -13*t**2 + t + 6. Let d(k) be the second derivative of -k**4 + k**3\/6 + 5*k**2\/2 + 2557*k. Give -5*d(s) + 4*g(s).\nAnswer: 8*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5856967586 to the power of 1\/3, to the nearest integer?\nAnswer: 1803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864395105?\nAnswer: 5, 7, 24697003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -6, -20, -40, -66?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = -8*k - 229. Calculate the remainder when 200 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*h - 34*h - 2035 = 0. Suppose h*i = 412*i - 5855. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 2\/17 (c) 2429 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2, -3, 2\/13, 9126202?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**4 + 588*r**3 + 2852*r**2 + 1668*r - 5112 = 0. Calculate r.\nAnswer: -142, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 73. Let s(u) = -u - 24. Let i(w) = -2*p(w) + 7*s(w). Let l(c) = 4*c + 21. Determine -5*i(o) - 6*l(o).\nAnswer: o - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 10. Let c = b + -17. Let v = 5 + c. What is the third smallest value in v, 1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 n when four letters picked without replacement from nnjjjjjnnjjjjjnnjjn.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/9)*n\/((n\/(n**(-5)*n*n))\/n)*(n*n\/((((n**(-2\/3)\/n)\/n)\/n)\/n))\/((n\/n**(4\/11))\/n) assuming n is positive.\nAnswer: n**(520\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-24)*(-1)\/(-3)*2)\/((-2009)\/(-1148)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -14 + 32 + -16?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.13 - 2.21. Let w = -27.6 - -32.6. Which is the second biggest value? (a) -5 (b) v (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 4, 81, -3 in ascending order.\nAnswer: -3, 0, 2, 4, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 242 and 1216?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (12 - (8 - -21))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*i - 7 + 2 = -11*t, -2*i - 201*t + 27 = -i - 196*t for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 7:03 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n + 31. Let w(d) = -d**2 + 19*d - 9. Let f be w(18). What is the tens digit of u(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29579 + -20032. List the prime factors of c.\nAnswer: 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, h: 1, o: 3, g: 6}. Give prob of sequence pppo.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 12. What are the prime factors of (f - 11)*(-1 - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 214 - 214. Let s = -1\/29 - 55\/87. Which is the third smallest value? (a) 6 (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 97 = -4*a - 75, 4*a - 788 = -5*q. What is the lowest common multiple of q and 7?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 5*y + 8, -12 = -4*m - 16*y + 20*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15846 and 561?\nAnswer: 2963202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1752539377140 + -4.\nAnswer: -1752539377144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {h: 5, w: 15}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 28\/3 (b) -0.3 (c) -214 (d) 3\/2 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32, 125, 274, 473, 716, 997, 1310, 1649?\n\"Answer: -j**3 + 34*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707826 is divided by 2974?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/13)\/((-6)\/(18\/2 + -5)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/4 of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/(-75) - 1969506\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307328*j**2 + 214938*j**2 - 97254*j**2 - 28282*j**2.\nAnswer: 396730*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6899 - 6885. Calculate the remainder when 883 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04583016 rounded to 3 decimal places?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 265 and 80401?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + k + 19488 = 0, -62*k + 61*k = 3. What are the prime factors of o?\nAnswer: 3, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -181.7 and -2571?\nAnswer: 467150.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10748190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oobi. Give prob of picking 1 b and 2 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2020112012201 (base 3) to base 8\nAnswer: 4426654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5799, -49261, -167313, -397251, -776371, -1341969, -2131341?\nAnswer: -3181783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9022 or -9040?\nAnswer: -9040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -19381941500 rounded to the nearest one million?\nAnswer: -19382000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -900*u - 50*u + 8913 - 52613 for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5*l - 196, 5*v - 305 = 4*l - 69. Solve 8*r + 20 = v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 9 - 6 = 0, -2*g - 3*b + 65 = 0. Suppose -g = -3*c + 80. Calculate the remainder when 102 is divided by c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0538127 millimeters in centimeters?\nAnswer: 0.00538127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 21. Suppose -2*f + 72 = -4*p, -p - 2 = a. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16908334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -392 - -360.7. Let t = m + 31. What is the closest to 1 in t, -1, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, -317, -1095, -2191, -3605, -5337, -7387?\nAnswer: -9755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 + -1110?\nAnswer: -1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 3:12 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28840984*q**2 - 2*q + 7161965 wrt q.\nAnswer: 57681968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*o**3 - 10*o**2 + o - 34 wrt o?\nAnswer: -108*o - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*c - 5*l, 0 = 3*c + c - l - 63. What is the greatest common factor of c and 224?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -560 divided by -5.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/250 + ((-2)\/(-45))\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 364470?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lys when three letters picked without replacement from {w: 7, l: 3, s: 2, y: 7}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 1476?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 295*j*z**2 + 14*j*z + 4*j + 2*z wrt z.\nAnswer: 590*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46850 = -19*n + 46907 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1ac3a18 (base 14) to base 7\nAnswer: -221501531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 615826693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5, 0, 7, 32, 81?\n\"Answer: g**3 - 12*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 797 divided by 249?\nAnswer: 797\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 97*a + 2171. What is the tens digit of q(91)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 4. Let c(a) = a**3 + 3*a**2 - 2*a + 5. Let d be c(3). Let n be (3\/4 - 0)\/(d\/(-212)). Put -1, 4, j, n in descending order.\nAnswer: 4, -1, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 9*z - 2. Let t be s(-9). Let d = -24 - -27. Let c be 8\/3 - t\/d. Is c at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, p: 4}. What is prob of picking 2 p?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 618740923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 342059046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t - 1. Suppose -6 = 5*k - 1. Let c be n(k). Suppose -q + 5 = c. Solve -5*f + 4*j - q = 0, 3*f + j + 3*j = -7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 16 = -3*n, 3*u - 20 = n - 3*n. Suppose -u*f = f. Solve f = -2*z + z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**4\/5 - 164*r**3\/5 - 4181*r**2\/5 - 7714*r\/5 = 0.\nAnswer: -133, -29, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.52 and -236671?\nAnswer: 236669.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -139\/3 in 2, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.06 and 456.\nAnswer: 6411.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Let h = -158 + 160. Solve z = -x - h - 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -138623*u**3 + 2*u**2 + 53342 wrt u.\nAnswer: -415869*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*j + 85 + 27, 5*d = 4*j - 117. Let u(r) = -r**2 - 4*r + 2. Let g be u(-4). Let l = j + g. Solve 0 = -2*n - 3*n - l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*v - 54*v + 34*v - 72*v to the form u + m*v and give m.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -17614432.351 rounded to the nearest 100000?\nAnswer: -17600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n*u**2 + n*u + n + 6*u**3 - 3*u wrt u.\nAnswer: 2*n + 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 4124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 21*y**2 - 46*y + 113. Let p be d(-33). Which is smaller: p or 14698?\nAnswer: 14698","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 6*p - 5. Suppose 10*f = -5*m + 14*f + 58, 0 = -4*f + 12. What is the remainder when z(-6) is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*54.\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-279)\/(-372))\/((-102)\/1496)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 0.7, 2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-200)\/30)\/((-2)\/6). Calculate the highest common factor of 30 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4625119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2566 = 20*m - 2306 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 0. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45032327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + -6 + 1 + 151. Calculate the greatest common factor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 24*h - 26 - 7*h + 7. Let f be (5\/2)\/((-3320)\/(-21248)). Calculate p(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 48*v**2 - 20*v - 11. What is the units digit of q(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 7880.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1669, 3338, 5007, 6676?\n\"Answer: 1669*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 15*z - 31. Let m be b(-8). Let k = m + 44. What is the remainder when 18 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1650.90461 and -20.\nAnswer: -1670.90461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8282513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39350*t + 0 + 39328*t + 0 - 78716*t.\nAnswer: -38*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 522\/11745 - ((-74)\/(-90))\/((-246)\/(-6))\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.86736 * -9.\nAnswer: 7.80624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2191830511.\nAnswer: 13, 8461, 19927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**2*k**4 + 36*g**2*k + 120*g*k**5 - 5*g*k**3 + 6*g*k**2 wrt k?\nAnswer: 48*g**2*k + 7200*g*k**2 - 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1758 - 43?\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 390 = -m + 69, g - 212 = 3*m. Calculate the remainder when g is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 328 and 16154?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 2*d**2 + 3)*(d + d - 3*d) + 3*d**3 + 2*d**3 - 3*d**3 - d**3 - 3*d + 3*d)*(1 + 3 - 1) to l*d**2 + t*d + v*d**3 + y and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + sqrt(7)*3 + 1).\nAnswer: -9 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 25 + 15 - 199457*d - 36 - 915541*d. Let u be c(-2). What is u rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 5*c - 3. Let i be y(7). Let v = -2 + i. Let u = -4 + 12. Is u smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499740527.\nAnswer: 11, 13, 19, 23, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at least as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -10*b**3 + 32*b**2 + 15*b + 25. Let i be k(15). What is i rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(3025) - sqrt(3025)*-2)*-5)\/((sqrt(55) + 6*-1*sqrt(55))\/sqrt(11)).\nAnswer: -1 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(5\/8)*m*m**(-1\/19)*m*m assuming m is positive.\nAnswer: m**(543\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1965868?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*q - 5*q + 12*q)*(-51 - 163 + 10)*(q - 2*q - q) in the form m*q + j*q**2 + s and give j.\nAnswer: -5712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/25)\/o*o\/(o*o\/(o\/o**21)))\/(o**(1\/16)\/(o\/o**(2\/23))))**19 assuming o is positive.\nAnswer: o**(-3710909\/9200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (939\/939)\/((-2)\/38).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -157*p**4 + 48*p + 48*p**4 - 46*p + (-3 + 2*p + 3)*(-p**2 + 2*p**3 + p**2).\nAnswer: -105*p**4 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -79 + 106*h**4 + 169 - 5*h**3 - h - 90 in the form w*h + n*h**3 + a + m*h**4 + z*h**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -5*p**3\/3 + 15*p**2 - 25*p - 64. Suppose c(t) = 0. What is t?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9dde8 (base 16) to base 12\nAnswer: 272260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*9\/(-3)*5\/(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 15140 = -10*v + 6*v, -3*v + 3047 = a. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) -0.1 (b) 1 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2463696899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000065 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdse when four letters picked without replacement from eedqsdgbssbbd?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 3. Let y be 16\/(-3) + (-2)\/(-6). Let j(b) be the first derivative of -b**2 - 7*b - 45. Calculate y*w(l) + 2*j(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-1 + -5 + (-174)\/(-58)). Let n = 7 + -3. Solve n*f = -p + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-6))\/(g*g*(g**(-3\/10)*g)\/g))**(-22) assuming g is positive.\nAnswer: g**(-583\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = -1. Suppose -i = -0*i - m*a - 12, -a + 4 = 3*i. Suppose i*l - 7 = -k, 2*l + 3*l + 2*k - 18 = 0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26.41*3\nAnswer: -79.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/3*1224\/378 + (-4)\/9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-14) - 6732\/(-28). Suppose 5*h = -h + m. Calculate the greatest common divisor of h and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4043 - -4\nAnswer: 4047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*l + 0*l**2 - l**2 + 36*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13 (b) 3 (c) 1\/3 (d) -0.1 (e) 38 (f) -1\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -72\/167 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -31. Calculate the least common multiple of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74971*p - 37509*p - 37458*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o = -10. Suppose -4*c = o + 6. What is the remainder when 17 is divided by 9*(-1)\/c*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -29 (b) -0.65 (c) -2\/3 (d) -3 (e) -8\/5 (f) -2 (g) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 9*t**2 - 32*t - 11. List the prime factors of q(-8).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 5:30 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-8))\/(715\/(-1716))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 958398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/11130 and -41\/945?\nAnswer: 100170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224, 249, 310, 425, 612, 889, 1274, 1785?\nAnswer: 2440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 2. Let y be q(0). Suppose 0 = -5*r + r + 144. Let i = -36 + r. Solve 3*o - 5*c = 23, -22 = -y*o + 5*c - i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (2 - 1) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3176 is divided by 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g**(4\/7)*g*g))*g**3)**(-28)*((g*g*g*g\/g**(-2\/5)*g)\/(g*(g*g\/(g**(3\/4)*g))\/g))**(1\/5) assuming g is positive.\nAnswer: g**(-12697\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 + 29*b**2 - 13*b - 18. Let y be p(14). Let k(d) = -4*d + 5. Let i(c) = -1. What is y*i(r) - k(r)?\nAnswer: 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 5*s + 3. Let p(i) = i**2 - i - 8. Let d = 11 + -7. Let a be p(d). Suppose -3*t - 4 = -h - 5*t, -a*t = 4*h + 4. What is b(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*k + 3, -k = y - 5*y + 11. Suppose 2*d + 15 = 5*j, 2*d - 7*d - j + y = 0. Find q, given that d - 2\/7*q + 2\/7*q**3 + 0*q**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a litre in millilitres?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 715*b**2 - 85 - 160 - 145 with respect to b.\nAnswer: 1430*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/240 and 68\/87933.\nAnswer: 7034640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -173970*r**3\/11 + 6328*r**2 + 104374*r\/11 - 12\/11 = 0.\nAnswer: -3\/5, 2\/17397, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12)\/(sqrt(2)*-2))\/sqrt(3))**2 - (-2 + (sqrt(8) + 3)**2)) + (sqrt(2) + 0 + -3 - (1 + sqrt(2) + -1)) + (sqrt(6)*-1)\/sqrt(3) + -4.\nAnswer: -43\/2 - 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 47 = -s + 61, -22 = -2*s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 126.99999782 - 127. What is z rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*q + 26*q = -1133 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 748938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 71901, 71823, 71691, 71505?\n\"Answer: -27*i**2 + 3*i + 71925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/47626 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/3 + (-118 - -1) + -2. Calculate the common denominator of ((-22)\/3)\/((-160)\/i) and 59\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 8:25 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 - 24*o**2 - 10*o. Let r be p(13). Suppose -6*a + r = 88. Suppose -5*i - 4*g = -0*g, -4*i - 5*g = 0. Solve i = -2*y - 2*y - a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2487 + -2482. Solve 3*x + 15 = -2*l, -15*x + 15 = -k*l - 18*x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 23 = -g. Solve 10 = -2*m + z, 4*m + g = -3*z - 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.1*0.7.\nAnswer: 3.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.6 - -1.6. Let q(t) = t + 2. Let o(k) = -k**3 + 11*k**2 - 10*k. Let w be o(10). Let x be q(w). Which is the closest to 0.2? (a) x (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-1\/4))**(3\/8)*g\/g**(2\/7)*g**(-6))**(-23))**(-18\/5) assuming g is positive.\nAnswer: g**(-223353\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 15*n**2 + 23*n + 46. What is the least common multiple of 70 and j(-3)?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*z**3 + 703*z - 14*z**3 + 87 - 352*z - 352*z as g*z**2 + j + o*z + q*z**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/((-768)\/80)*(-5)\/350*15.\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 10567128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 207+753957\nAnswer: 754164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1077.97 and -4.\nAnswer: 4311.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**11*c)**(-21))**(-2) assuming c is positive.\nAnswer: c**504","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 - 9*o**2 - 26*o + 110. What is r(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -10*l**3 + 730*l**2 + 558*l + l**3 + 2*l**3 + 167*l + 12*l**3 = 0.\nAnswer: -145, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -6c5b5e0?\nAnswer: 6c5b5db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 4. Let d(q) = 2*q**2 + 3*q - 4. Let n be d(i). Suppose 0*z - 3*z + n*f - 16 = 0, 3*f - 18 = -z. Solve 0*w = -2*j + 4*w - 6, z*j - w = -14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 times 3?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/3)\/k)**29*(k\/(k**(-2\/5)*k))**33)**(-1\/5))**(-1\/13) assuming k is positive.\nAnswer: k**(-382\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -485902004 rounded to the nearest 10000?\nAnswer: -485900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.28 times 0.13?\nAnswer: -0.1664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + -10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*r - 194*r = 48. Let k = -17.18 + 17. Let y = -0.38 - k. What is the nearest to r in 2, -0.1, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(64\/(-14)))\/(-14)*(-720)\/(-8).\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, t: 11, y: 2}. Give prob of sequence ht.\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-10))\/(((-31)\/10)\/31)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3001 (base 6) in base 15?\nAnswer: -2d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*x + 2 = 0, -3 + 1 = 2*v - 2*x. Let b(f) be the first derivative of 10 + 17*f - 4*f**v - 3*f - 30. Differentiate b(g) with respect to g.\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16652 is divided by 1389?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 8*w - 7. Let t = 0 - -9. Let h be v(t). Solve -h*l = -3*l - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c**2. Let l(h) = 27*h**2 - 2*h - 15. Let q be l(4). Let b(k) = q + 39*k - 815 + 406. Calculate b(i(f)).\nAnswer: -273*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/285 and 22\/893.\nAnswer: 13395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -6*k + 2*k - 2*z, 0 = k - 4*z - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 3*u = -5, 2*y + 3*u + 6 = 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3385036.767 to the nearest ten thousand.\nAnswer: 3390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-14\/11)*k*k*k**(16\/5)*k)\/(k\/k**(-8\/9))**(-16\/7) assuming k is positive.\nAnswer: k**(32033\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13323 + -12102?\nAnswer: -32031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29294 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7759 and 186216.\nAnswer: 186216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -8, 4.29, -0.098?\nAnswer: 4.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**6\/8 + 54*g**5 + 49137*g**4\/8 + 16110*g**3 + 96123*g**2\/8 - 851. Let x(t) = 0. What is t?\nAnswer: -179, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010000 - -1111?\nAnswer: -100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5139026122.607467722 + -429465906.992532783. Let z = 5568492043 + r. Let x = 13.4 - z. Round x to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 229*d**3 + 14*d**2 + 33*d + 12. Let y(i) = 114*i**3 + 7*i**2 + 16*i + 7. Let j(x) = -3*g(x) + 5*y(x). Is j(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 244*g**2 - 10*g + 3. Is b(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + 0*o**3 + 0*o**3 + (-3 + 3 - 2*o)*(-5*o**2 + 4*o**2 + 2*o**2) + (3*o - o + 0*o)*(-o + o - 3*o**2).\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**2 - 77*k + 69. Let h be b(-42). Let y = h - 3961. Round y to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 196.2 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -516458327 and -3.\nAnswer: -516458330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.79 * -75.8.\nAnswer: 59.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - 2*h - 2. Suppose 4*g = -0*m - 2*m - 4, 0 = 4*m - 8. Calculate r(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h**2 + h + 13. Let f(i) = -9*i**2 - i - 25. Let p(m) = 6*f(m) + 11*r(m). Give p(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000081 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -2. Let t be c*((-5)\/2 + 1). Solve t*v + 2*s + 18 = -v, -2*v + 5*s - 3 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 108875 and -1\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -2 - -2 - (-6 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 2. Let v be p(-5). Suppose -80 = 30*q + 100. Is (26\/q)\/((-3)\/v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s + 24 = 0. Suppose -3*g - 5*v + s = 0, -4*g = -0*v + 2*v - 32. Let d be g\/(-9)*(-6)\/8. What is the second smallest value in d, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4993063?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1470 and 32344900?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 48*m**2 + 13*m - 4. Let n be 4\/(-14) - ((-18)\/14 - -3). Let u(d) = 12*d**2 + 3*d - 1. Let l(b) = n*j(b) + 9*u(b). Is 11 a factor of l(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10423 + 10417 + 12*w**3 + 10*w**3 - 3*w**3.\nAnswer: 19*w**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366 - 1156 = 158*l. Let o be (-1)\/(-2)*4\/(-6). What is the closest to o in 1\/2, l, -10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 - -36 - (32 - 12)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 2088329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7360 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 6 = 0, 4*y + 9*g + 2 = 11*g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**4*l\/(l*l**(2\/11))*(l**(-3)*l)\/l**(2\/7))**(4\/9) assuming l is positive.\nAnswer: l**(260\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by -2 + (13 - 2) + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*r - 182930000 = 157*r. What is r rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2174.599974266 - 2174.6. What is i rounded to six decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 150819 + -85389. What is the thousands digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3169.\nAnswer: 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 2996829.\nAnswer: 2996829.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -141 - -138. Let u(f) = -3*f**2 - 18*f + 18. Let l(g) = -2*g**2 + 1. Let s(j) = o*l(j) + u(j). Find h such that s(h) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeyedyeysdedeeeeed. Give prob of sequence esdy.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.7 + -2. Which is the nearest to -0.2? (a) 0.5 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 28*v - 137. Let o(l) = 19*l - 92. What is 5*h(k) - 7*o(k)?\nAnswer: 7*k - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5714.290004 - 5708.29. Let n = t + -6. What is n rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, z: 2, x: 1}. Give prob of picking 2 e and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 5:28 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 3*y**2 - y. Let u be a(-3). Suppose 0 = -b - u*b + 8. Is ((-2)\/b)\/(1\/(-541)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6017 = -486*n + 2590 + 2941 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 7. Let z be u(7). Suppose -k + z*i - 2*i = -4, 4*k - 16 = -5*i. Suppose -45 = -k*h + 43. Solve -4*m = h - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 7243460 to the nearest ten thousand.\nAnswer: 7240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -330540, -330565, -330576, -330567, -330532, -330465?\nAnswer: -330360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhk when three letters picked without replacement from kkkkkkkkkkkkkkkkhv.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-20)*24\/(-30))\/(2\/(-5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*w = -2*h + 194, 510 = 5*h + 5*w. Calculate the remainder when h is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**3 - 6*q**2 - 11*q + 2. Let b(m) = 3*m**3 - 4*m**2 - 7*m + 1. Let n(g) = 8*b(g) - 5*s(g). Let l be n(-2). What is l rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1\/4 (c) -3 (d) 1.73 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 12:24 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2401, 4056, 5709, 7360, 9009, 10656?\nAnswer: 12301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 less than or equal to 1973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 441226427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505 = 244*o + 2911 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*z**3 - 10*z**2 + 4*z**3 + 13*z**3 + 9*z**3 wrt z.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*t**3\/3 + 58658*t**2\/3 + 69283*t + 31974 = 0. Calculate t.\nAnswer: -5329, -3, -6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + x**2 - 4*x**2)*(11*x**3 + x**3 + 3*x**3).\nAnswer: -30*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + b. Let x(r) = -43*r**3 - 5*r**2 + 5*r. Determine x(u) - 5*z(u).\nAnswer: -43*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2091 and 3346297.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8555753*j**6 + 26*j**2 - 6*j - 1005?\nAnswer: -1026690360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 266?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 249, 0, 263, 32 in increasing order.\nAnswer: 0, 32, 249, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*((-506)\/92 - (-5 + 0)). Solve 9 + 7 = -u*i - 5*q, 4*q + 12 = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, u: 6, w: 2, t: 2, y: 1, n: 1}. What is prob of sequence tn?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212, 403, 576, 731, 868, 987?\nAnswer: 1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + ((-3)\/1 - (-176793)\/25257). Let x = v + 362037\/84190. Calculate the common denominator of x and -7\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, o: 1, i: 14}. What is prob of picking 1 h and 3 i?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28 + 1279?\nAnswer: 1279.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + -10 - (-4)\/1. Solve b*x + x = 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n + 63. Let p be j(-13). Let y be 348 + -5 + 1 + p. Calculate the greatest common factor of 18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -3796 in decreasing order.\nAnswer: 3, -1, -3796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 9. Let f = -845\/6 + 281\/2. Which is the nearest to 2\/5? (a) s (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6009 >= -6008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 5\/6*x**5 - x + 0*x**4 + 0 - 8*x**2 + 0*x**3. Let f(p) = -2*p**2. Calculate z(f(t)).\nAnswer: 200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 0*g + 0 + 5\/336*g**8 - 1\/42*g**7 - 1\/12*g**6 + 5\/24*g**4 - 5\/6*g**3 + 1\/6*g**5 + 17*g**2. Suppose k(x) = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/14 and 1\/74.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 3:02 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 582 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(342)\/sqrt(2) + -2*sqrt(684) + sqrt(684))**2.\nAnswer: -6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 5*c - 3 - 7, 2*z - 3*c - 2 = 0. Suppose 4*d - 20 = -5*y + y, z*y - 4*d = 28. Solve j - 5*r - 22 = 0, -y*j + 2*j + 20 = -3*r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w**4 - 5*w**4 - 14*w**4 - w**3 + 22*w**4 - 1907*w + 1576*w**5 wrt w?\nAnswer: 31520*w**3 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u**4 - 2*u**4 + 2*u**4)*(-5667 + 5375 - 9289 - 9215) as n*u + w*u**2 + y + o*u**3 + k*u**4 and give k.\nAnswer: 18796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -298 or -2\/381?\nAnswer: -2\/381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1820, 77, 0.4?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - 2*g - 12 - 18 + 21 as p*g + t*g**2 + u*g**3 + l and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 20*l - 14. Let b = 175 - 112. Let k = b + -42. What is the units digit of x(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, 0.07, 0, 0.2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 20 = -0*b. Let h = b + -18. Is 1\/2 - 108\/h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 299 = 275 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 12) in base 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 16 + 11 - 28 - 20*f.\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122031 (base 5) to base 11.\nAnswer: -353a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r**2 + 3*r. Let k be i(-2). What is the units digit of ((-60)\/k)\/((-4)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v**3 - v**2. Let i be q(1). Suppose 29 = z - 5*j, 0 = j - 3 + i. Factor 8 - 3*o + z*o - o**2 + 10*o - 9*o**2.\nAnswer: -2*(o - 2)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 357 by 7.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/396*-72)\/(81\/(-6))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b315 + -6813?\nAnswer: 4802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*j + 5*j**2 + 10*j + (0*j - 3*j - 2*j)*(j - 2*j - 5*j) + j**2 - 6*j**2 + 3*j**2.\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 6*p + 3 = 0, -5*n + 5*p + 80 = 0. Suppose n*f - 21*f + 14520 = 0. List the prime factors of f.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6193 - -9608. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.017 + -0.883. Let m = -1219.1176 - -1220. Let w = m + n. Round w to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -4*j**5\/5 + j**4 - 7. Solve q(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/5)\/d*d**15*(d\/d**(-5)*d)**10 assuming d is positive.\nAnswer: d**(423\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/20 + (3309720\/(-194400) - (-16 + -1)).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 11, 39, 156, -62?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57047606.\nAnswer: 2, 7, 11, 370439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12111 (base 7) in base 8?\nAnswer: 6110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -52772 greater than -52740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**4 + 2*q**3 + q - 3*q**3 - 22 - 15 + 0*q**2 + 30 - q**2 as o*q**3 + i*q**4 + g + p*q + b*q**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -2*r**3\/3 + 110. Let w(d) = -7*d - 10. Calculate l(w(f)).\nAnswer: -98*f**2 - 280*f - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283467285 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4846295km to centimeters.\nAnswer: 48462.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 279 + -279.5. Sort 1\/4, q, -4\/9 in ascending order.\nAnswer: q, -4\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/4 - (-57)\/12. Suppose 0 = -3*p + 6*l - l - 41, 0 = k*p - l + 32. Let o(i) = 20*i**2 + 7*i - 12. Is o(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58.205792 + 58.806. Let l = 0.6 - a. What is l rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/18634 and -97\/39446.\nAnswer: 3037342","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 114 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*s**4 + 7*s**2 + 20*s**2 - 19*s**2 wrt s.\nAnswer: 480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01043 - -594.41043. Let l = d + -679. Let i = l + 72. What is i rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134579064 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*2 + 12\/(-12). Let w(g) = g**2 - g - 1. Let x be w(a). Solve y = x*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 3)*(-1 + 4 + 12*y - 1) to w*y + a and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37141805 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.54 - 3.62. Let r = 7.15 - 7.0842. Let a = o + r. Round a to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 28747063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84*d**4 - 124*d**3 - 86*d**2 - 43*d wrt d.\nAnswer: -2016*d - 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -3*s. Suppose -2*k = -2 + s. Is -1*15*k - 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*k + 4*p = 34, 5*p = -3*k + 137. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 5*g**2 + g**2)*(1 + 1 - 7).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-7))\/((-2)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1101261 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 14 + 19. Let n = h - 5. Suppose 4*g - 2*g - 202 = -f, -5*f - 4*g + 992 = 0. What is the highest common factor of f and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21, -21, -19, -15?\n\"Answer: q**2 - 3*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -8.3 (b) -4\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 3)*897\/(-494) + 11?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 252056?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/6 + -2)*7\/((-252)\/3429). Solve 11*u + 127 = n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -362 - -4\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -254627, -509243, -763875, -1018529, -1273211, -1527927, -1782683, -2037485?\nAnswer: -2292339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -351107, -351088, -351069?\n\"Answer: 19*u - 351126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 86?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**5 - 105*y**4 + 190*y**3 + 10*y**2 - 195*y + 95 = 0. What is y?\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -24\/115243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.58 + -5.3. Let h = b - 3.68. What is the nearest to -0.1 in -0.2, h, 1.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -82*w**2 + 2*w. Let y(r) = r. Give y(l(v)).\nAnswer: -82*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away -14009600449?\nAnswer: 14009600460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 19 + 26 + (2 - 3 - 3)*(-2 - 1 + 2))*(6*g**3 - 2*g**3 - 3*g**3 + (-4 + 4 + g)*(-4*g**2 + 5*g**2 + g**2)) as p*g + v*g**2 + n + s*g**3 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/42)\/(4*(-5)\/14).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -184299\/35 + 39132\/7. Let v = 325 - x. Solve -18\/5*h**2 - v*h**3 - 48\/5*h - 32\/5 = 0 for h.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21181005197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1010\/7 + -144. Let s = -19.976 + -1.024. Let i = s - -21.2. What is the closest to i in c, 0.1, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1621969763.\nAnswer: 739, 809, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 23*b - 3. Let q(p) = -p - 2. Suppose -12 - 6 = 3*x. Let s be q(x). Is l(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 + 17*x**4 - 7*x**4 + (0*x + x + 5*x)*(5*x**3 + 6*x**2 - 6*x**2) + 0*x**3 - x**4 + 0*x**3 + (2*x**3 + 3*x - 3*x)*(4*x - 5*x - 3*x).\nAnswer: 31*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.09, -66, 0.051877?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -13000 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 985? (a) 0 (b) -3\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 6*g**2 - 2*g + 17. Let h be l(6). Solve -2*j = -2*w - 2 - 0, -3*w + 5*j = h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*q + z, 4*q + 0*q - 33 = -z. Suppose -4*y - 35 = -q. What is the units digit of 120\/21 - 2\/y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 224.000549 minus 219772?\nAnswer: -219547.999451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47907?\nAnswer: 3, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*h + 21 = -2*x + 547*h, -5*h = -4*x - 37 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4 - 1 - 2. Let z be (-16)\/(-24)*(1 - 4). Let x(l) = l + 2. Calculate z*w(g) + x(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5444 is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 784261 * -3\nAnswer: -2352783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 2*s - s)*(0 - s + 0) + 2*s**2 - s**2 + 3*s**2 + (2*s + 5 - 5)*(-4*s + 4*s + 2*s) to w + c*s + x*s**2 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c - 2. What is a(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjejjjejjejjeejjeeee. Give prob of picking 2 j and 2 e.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -2\/7, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15334\/(-8415) + 84\/15 + -4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**3 - 2*f**3 - 6*f**3 + f**3 + 17*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1863 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: Does 299 divide 1074008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h**2 - 3*h - 1. Give f(-2).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4410716932 and -0.08?\nAnswer: 4410716931.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 11, 2 in ascending order.\nAnswer: 2, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than 80\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1006882*l*u + 15*l*w - 74*l + 32*u*w + 65*w - 4 with respect to u.\nAnswer: -1006882*l + 32*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -5, -103, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8*6\/(-12)*-1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790740?\nAnswer: 2, 3, 5, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**4 + 137*f**3 + 2514*f**2 wrt f.\nAnswer: -96*f + 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 12:55 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383534 a multiple of 1397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/77 in 4\/347, 8, -0.2, 0.5?\nAnswer: 4\/347","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -1\/6 (b) 88 (c) -47 (d) 0.44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 40598 (b) -7 (c) 0.1 (d) -0.1 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 + -9. Suppose c - 1 = 2*p. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -21. Let s = -9 - x. Which is smaller: -0.1 or s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 + 6 - 4*n**2 + 3*n + 5*n**2 + n**3. Let f(h) = -h**2 - 26*h + 151. Let l be f(5). Calculate t(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 + 92*v**3 - 3174*v**2 + 48668*v - 279841.\nAnswer: -(v - 23)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from cyoazna?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 38*m**2 + 5*m - 8. Let p be w(-5). Let d = p - 455. Let n = -299 + d. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18614, 37179, 55690, 74147, 92550?\n\"Answer: -27*l**2 + 18646*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 5. Let k be y(4). Suppose -g + 1 = -k. Suppose s - 70 = 5*b - 4*s, g*b + 28 = -3*s. Which is greater: b or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -613877 (base 9) in base 5?\nAnswer: -43120020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, m: 1, j: 4, z: 6, y: 1}. Give prob of picking 1 j, 1 l, and 1 z.\nAnswer: 72\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3277 is divided by 205?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 205*y - 400. Let m be x(3). Which is smaller: 208 or m?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 22*m - 67. Let z be w(-5). Solve -2*j + 18 = -7*t + 2*t, 0 = 3*j - 3*t - z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*b + 2*b = 408. Suppose -7*x + b*x = 4*q + 1248, 5*x + 2*q = 6350. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 9118.2, -9, -2\/17, 0, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 1010790*j - 16173152.\nAnswer: 2*(j - 505411)*(j + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201738349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1234275 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9*f + 7. Let o(z) = z + 2. Let y(t) = 2*b(t) - 14*o(t). Let g be (-1)\/3 - 62\/(-6). Let l be y(g). Is l greater than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*c - 3240 + 1614 + 26*c + 1620 in the form b + s*c and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gydqb. What is prob of picking 1 y and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(3) - (sqrt(3)*-2*6)**2)*-5.\nAnswer: -10*sqrt(3) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -16, -19?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -274, -1478, -4740, -11086, -21542, -37134, -58888?\n\"Answer: -171*t**3 - 3*t**2 + 2*t - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4\/5 - 972*b**3\/5 + 195*b**2.\nAnswer: -3*b**2*(b - 1)*(b + 325)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y - 6. Suppose 0 = p - s - s - 23, -2*s = p + 9. Give f(p).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4) + (-48)\/(-64).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1222 = 2*h - 2*l, -4*h = -8*h - l + 2449. What is the remainder when h is divided by 103?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122157.\nAnswer: 3, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6)*o\/o**(3\/5)*((o\/o**3)\/o*o)\/(o**(-6)\/o)*(o\/o**(2\/5)*o**(-2\/17)*o)**(-18\/11) assuming o is positive.\nAnswer: o**(-2829\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.61983 take away 69621602?\nAnswer: -69621605.61983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3312 a factor of 870734857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 72? (a) 1\/7 (b) -11 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.188 + -23.322. Let l = -0.49 + r. Let p = l - -20. Which is the nearest to -0.1? (a) p (b) -0.1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1499 and 1.34.\nAnswer: 1500.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(119))\/sqrt(7) + 2)*4.\nAnswer: -4*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 23 - 14*y**2 + 7*y**2 - 42.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.349 - 22.549. Let v = -22.19996088 - p. What is v rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 5:24 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 403527 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**5\/60 + 5*f**4\/12 - 2*f**3 + f**2. Let v be q(8). Find the third derivative of g**v + 0*g**2 - 2*g**4 + 2*g**2 wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -53*q + 429. Let i be p(8). Let w(o) = 8*o**2 - 9*o**2 + 16 - i*o - 2*o. Give w(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 0*m**5 + 0*m**6 + 7*m + 0*m**4 + 17\/6*m**3 + 0*m**2 - 11\/42*m**7 + 0. Find the second derivative of z(c) wrt c.\nAnswer: -220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjrr when four letters picked without replacement from srsrbssjsrjrjsjjr.\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -31530*q + 4699. Is c(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. Suppose 0 = 3*h - 2*b + 4, -1 + 6 = -h - z*b. Let u be (8\/(-12) - -3) + h. Is 0 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -35*d**2 + 3*d + 21. Let f(j) = -8*j**2 + j + 6. Let n(s) = -9*f(s) + 2*w(s). Calculate n(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -13*j**7\/210 + j**5\/5 - j**4\/8 - 8*j**3\/3 + 255*j**2. Find the second derivative of f(k) wrt k.\nAnswer: -156*k**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 1144, 2210?\nAnswer: 3276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 0.1, -2, 68 in descending order.\nAnswer: 68, 4, 0.1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, -92, -362, -886, -1748, -3032, -4822, -7202?\n\"Answer: -14*o**3 - o**2 + o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1001100010100101 (base 2) to base 8\nAnswer: 114245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(38)\/sqrt(2)*1)**2)*5 - (sqrt(76) + -2 - (1 + sqrt(19) + -1 + sqrt(19))).\nAnswer: -93 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.021 + 0.279. Which is the closest to z? (a) 0 (b) 3\/4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1.7808\nAnswer: -5.3424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*(10 - (6 - 2)). Suppose -4*w + 20 = 0, 2*z - 2*w - 77 = y*w. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 86 + -829?\nAnswer: -763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26101572 is divided by 157?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2214 and 222.\nAnswer: 81918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91076614 to the power of 1\/2, to the nearest integer?\nAnswer: 9543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 800212212*p**2*t**2 + 2*p**2*t + 13*p**2 - p*t - 2148357*t wrt t?\nAnswer: 1600424424*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.837359 tonnes in kilograms?\nAnswer: 5837.359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -4 - -3) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d + 118. Determine l(17).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 140?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 110, -25 in decreasing order.\nAnswer: 110, 6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(76) + sqrt(76) + sqrt(76) + -1)*3)**2.\nAnswer: -324*sqrt(19) + 6237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from kvzzvzzzvvkzzdvzzk.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b**2 - 13*b + 41. Determine h(3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52681)\/13265 + 16\/28.\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 8 - 13. Let n(j) = -j**3 + 4*j**2 + 12*j - 31. Let q be n(u). Which is the second biggest value? (a) -2 (b) q (c) 0.4 (d) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102741761 and 35598.\nAnswer: 5933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 34812*i + 68801. What is v(-2)?\nAnswer: -823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x + 80 = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = -v - 40. Let c = 1559 + v. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*u - 15*u = 1067270400. What is u rounded to the nearest ten thousand?\nAnswer: -4760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(238\/12)*5\/(30\/(-21)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**8\/420 - 4*f**7\/175 - 2*f**6\/75 + 88*f**5\/75 - 32*f**4\/5 + 256*f**3\/15 + 1546*f**2. Let h(d) = 0. What is d?\nAnswer: -4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -0.04. Let b = a + 0. Let y = -2.04 + b. What is the second biggest value in 1, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 636*b + 153*b**2 - 632*b**2 + 179*b**2 - 636*b + 149*b**2 + 153*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*v = 1040 - 1318 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(204)*1 - (sqrt(204) + (sqrt(204) - -1*-2*sqrt(204))))\/((sqrt(12) + -5*sqrt(48))*-2))**2.\nAnswer: 17\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 8 = 0, 0 = -3*v - 3*m - 6 - 18. Let n(y) = 8*y + 43. Calculate n(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3712600\/469 + 7916. Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010211010 (base 3) in base 10?\nAnswer: -22467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16765080 divided by 2095635.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*o = -o + 18, -r + o + 5 = 0. Suppose -5*w + r = 7. What is the units digit of 1*w*(-3 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1311909419 by -1.\nAnswer: 1311909419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -44\/35 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7968523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 6:04 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 21*j - 117 = 65 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 72898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -49309467 divided by 3327\nAnswer: -14821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5424\/226 - 730\/10\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 27*l**2 - 112*l + 21. Let o be b(4). Suppose 9*j = 4*j + 5. Put -5, 9, o, j in descending order.\nAnswer: 9, o, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2349*j + 663 = 2310*j for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(1\/9)*r))\/(r**(-5)\/r))**(-11\/4) assuming r is positive.\nAnswer: r**(-583\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3, 2\/3, 0.01, -11\/8?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006974871222 rounded to four decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-22)\/(-11))\/(30\/(-6)))\/((-10)\/50).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 46. Let m be (-3358)\/(-10) - (-4 + (-76)\/a). Suppose -n = 3*n - m. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + 84*h - 161. Let c be t(-30). What is the nearest to 1\/2 in 1\/8, -5, c, -2\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(8\/6) - -5. Suppose 3*u - 5*l + 14 = -l, -4*u = 5*l - m. Does 6 divide (-102)\/(-9)*(-3)\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/150)\/((-1668)\/6950).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 6, 500 in ascending order.\nAnswer: 6, 8, 500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/88 and 29\/100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71948426.\nAnswer: 2, 11, 3270383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-45))\/(96\/400).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*u = -361*u + 887*u - 28885 for u.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - q**2 - q. Let x = 0 + 1. Let j(r) = -3*r**2 - 5. Let m(n) = x*j(n) + b(n). Suppose 0 = 4*t - 2*t + 8. Calculate m(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.025*-1012\nAnswer: 25.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v*v*v**(-16)\/v)\/v))\/v)**(-5\/9)\/(v**(-17)\/(v**(2\/95)*v)))**(-2\/111) assuming v is positive.\nAnswer: v**(-15616\/94905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4690 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 12 + 10 = 0 for a.\nAnswer: 1","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 dhhdhhh?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbpbbzpbrpy. What is prob of picking 1 r and 1 p?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 537 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - p**2 - 4)*(-5*p**3 - 4*p**3 + 0*p**3).\nAnswer: 9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2337850 to the power of 1\/2, to the nearest integer?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -120.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 22aa25?\nAnswer: -22aa24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3762504.\nAnswer: 2, 3, 17419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-378)\/315*(-150)\/((-12)\/(-4))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10*(2\/4)\/1. Suppose -81*u = -84*u - w - 6, -w = -4*u + 6. Solve 3*k - 9 = 0, 4*k + u*k + 8 = x*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92237 is divided by 2935.\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 6:37 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1407\/4 + 350. Sort -0.1, z, -5 in increasing order.\nAnswer: -5, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.72947 years in millennia?\nAnswer: 0.00372947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3381?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1.4426, 0.03 in decreasing order.\nAnswer: 0.03, -0.1, -1.4426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/5 (b) -15\/2 (c) 0.3 (d) -174 (e) -2\/7 (f) 22 (g) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 159014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*y + 45 = 0, 2*n - y - 28 = 40. Let g = 0 - 1. What is the remainder when n is divided by (-6 - (-1 + g))*-3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132814, 265626, 398424, 531202, 663954, 796674, 929356?\nAnswer: 1061994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/243 and -64\/45.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 984, 1964, 2944, 3924?\n\"Answer: 980*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d + 30*d**2 - 2*d**3 - 30*d**2 to the form a + g*d + c*d**2 + o*d**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -560, 3, -2 in decreasing order.\nAnswer: 9, 3, -2, -560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -37, -74, -115, -160, -209?\n\"Answer: -2*q**2 - 31*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -317977 (base 11) in base 12?\nAnswer: -206190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -43*m**4\/24 + 80*m**2. Let o(f) = -2*f**2. Determine y(o(z)).\nAnswer: 86*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 - y - 3. Does 7 divide v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*b + 4. Let y be 54\/7 + (-2)\/(-7). Let x(j) = j + 4. Let a be x(6). Solve k - 2*t = -a, -b*k + 3*t = -y + 23 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 9) to base 16\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9733 - 9732.8. Suppose 3*a = -3*k + 6*k + 24, 0 = 3*k + a + 28. Sort -0.02, u, k.\nAnswer: k, -0.02, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 1 + -8 + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 987.8928 milliseconds?\nAnswer: 987892800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44347.44 weeks in days?\nAnswer: 310432.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -1)\/(-1 - -2) - -3. Suppose -4*m + 5*m + j = 0. Let a(y) = -2*y - 5 - 9 + 15 - y**3 - 4*y**2. Calculate a(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 348 + -344. What is the nearest to r in -1\/4, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 2.6.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 11. Suppose q = -3*s + 30, -3*s - 105 = -6*q + l*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77506260 by 993670.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*x + 17, -2*x = -5*x - 5*s + 35. Let m be 46 + -3*5\/3. Let z be -10*2*(-2)\/10. Solve 3*l + 35 = -3*r + 8*r, -x*l + z*r - m = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -189.43 to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -944?\nAnswer: -188.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**5 + 13*k**4 + 21*k**3 - 38*k**2 + 8*k = 0 for k.\nAnswer: -2, 0, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.1 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1003\/13 - 3999\/52. Put j, -4, -0.1, 13, -0.05 in descending order.\nAnswer: 13, j, -0.05, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -43. Solve i = l + 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14214849, 14214845, 14214839, 14214831?\nAnswer: 14214821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 227 divided by 69\nAnswer: 227\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 337402023 to the power of 1\/2, to the nearest integer?\nAnswer: 18369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*o**2*z**4 - 2200*o**2*z**2 + 17829*o**2 wrt z?\nAnswer: 12*o**2*z**3 - 4400*o**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 12 + -12 + -50.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 22 = 3*i - 4*g, 5*g = i + 22. Let p = 2.7 + 8.4. Let b = 11 - p. What is the third biggest value in b, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**9\/332640 - p**8\/27720 + p**7\/2310 + 5*p**5\/3 - p**2 - 18*p. Let n(v) be the third derivative of l(v). Factor n(q).\nAnswer: -2*q*(q - 2)*(q + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 574999854*t**2 + 133857911*t.\nAnswer: 1149999708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1*l**(-2\/11))**(-25)*(l**(-4)\/l*l**(-1\/2))\/(l**(-3\/2)*(l**(5\/3)*l)\/l) assuming l is positive.\nAnswer: l**(-862\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, -82, -7, -1, 5 in ascending order.\nAnswer: -82, -7, -6, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*r - 368, 2*n + 3 + 3 = 0. Let k = r + -237. Let v = k + 1479\/10. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w + 7*w + 3*w**3)*(7 + 7*w - 3*w - 6*w - w + 4 - 4 + 1 - 1 - w - 2*w + 4*w - 3*w + (-2 + 2 + 1)*(-2 - w + 2)).\nAnswer: -18*w**4 + 21*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 3*q - 89800*a + 89796*a, 0 = -5*q + 3*a - 40 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 58*f + 20 - 26*f + 515. Let h be s(-16). Let k(j) = 6*j**2 + 4*j - 8. Let r be k(-6). What is the greatest common factor of r and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1272612515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-25))\/a*a**(1\/43) assuming a is positive.\nAnswer: a**(1076\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -77802, -311233, -700232, -1244757, -1944766?\n\"Answer: 7*r**3 - 77826*r**2 - 2*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 k when four letters picked without replacement from uaxkr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1865933293 - -0.7503\nAnswer: -1865933292.2497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -7. Let b = -318700 + 318724.00048. Let n = b + w. What is n rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5*(4 + sqrt(325)*-2))**2 - (6*(sqrt(325) + 3 + sqrt(325) + 1))**2).\nAnswer: -9760*sqrt(13) - 28952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -119*t + 56*t + 17*t**2 - 163*t**2 + 63*t + t**2 - 4*t**2 + t**2 + (-4 + 2*t + 4)*(2*t - 2*t - 2*t) - 3*t**2 + t**2 + 3*t**2.\nAnswer: -151*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225175699 is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*c**4 + 20*c**4 - 10*c**4 + (8 - 21 + 15 + c**3)*(-3*c - c + 3*c).\nAnswer: 19*c**4 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -12*i + 2. Let f(c) be the first derivative of -9*c**2 + 3*c - 55. Calculate 5*f(k) - 8*p(k).\nAnswer: 6*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 9664.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/4, -209, -6, -1\/6, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-5) + 148\/5. Let h = v - -7. What is the remainder when h is divided by ((-1)\/(-3))\/(3\/90)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**4 - 52306868*f**3 + 109068429*f + 1 wrt f.\nAnswer: 12*f**2 - 313841208*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**3 - 52*q**2 + 382*q - 572 = 0.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*g - 1254 - 858 = 0 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130\/35*28*26\/(-208)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77889247 a multiple of 406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + 1. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 11 = 3*k, 5*j + 25 = 12*k - 7*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61016 by 263.\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3734 and -4?\nAnswer: 14936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 989?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p - 144. Let n be z(21). Solve -3*o - 20 = i, 7 = -n*o - 3*i - 23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6854?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j + 2*m = -5, -4*j - 5*m - 11 = 0. Suppose -1 = -5*u - j. Let a be (-4)\/(-63) + 8\/(-28). Is u less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 357 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11964 is divided by 3986.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g. Let t(b) = -43*b - 4. Let p(u) = -429*u - 39. Let a(i) = -4*p(i) + 39*t(i). Determine h(a(c)).\nAnswer: -117*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o + 3. Let i be b(-1). Calculate the greatest common divisor of i and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 390 + 274 + 2*l**2 - 252 + 116 to the form a + y*l**2 + t*l and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 508 + 612. Suppose 2*m + 165 = 7*m. Suppose -2*o + m = 1. Calculate the greatest common divisor of o and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 + 41*x - 66. Let n(k) = -k**2 - k + 14. What is -4*n(z) - u(z)?\nAnswer: z**2 - 37*z + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhk. What is prob of picking 1 v and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 12) to base 15.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3329598, 0.5, -1?\nAnswer: -3329598","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 + 22*m - 72)*(2 - 2 - 2*m**2).\nAnswer: -44*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13831344, 27662689, 41494034, 55325379, 69156724?\n\"Answer: 13831345*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 743, 3106, 7231, 13286, 21439, 31858, 44711, 60166?\nAnswer: 78391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-54)\/(-20) - 3\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1499260*1.2.\nAnswer: 1799112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 12*m. Let n be s(-1). Let a = n + 22. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 3, 2, -229, 0 in decreasing order.\nAnswer: 3, 2, 1, 0, -2, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1.45, 0.4 in increasing order.\nAnswer: -1.45, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -105170\/211 or -497?\nAnswer: -497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, 5, -2\/23, -1\/4, -3\/4, -2, 0.7177?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.15 - -1.01. Let a = o + 0.14. What is the second biggest value in -3, a, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3*4*(sqrt(66)*2 - sqrt(66) - sqrt(66)))\/(3*(1*sqrt(294) + sqrt(294))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -880, -1759, -2638, -3517, -4396?\nAnswer: -5275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3263743 litres?\nAnswer: 326.3743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -6*q - 312. Suppose -5*w = -5*j - 760, -4*w = -3*w + 3*j - 140. Let k = w + q. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 381 + 358 = -2*k, -3*y - 25 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2381*j - 47647. What is m(-20)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 337, 844, 1351, 1858?\nAnswer: 2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 244.7 + -223.7. What is the biggest value in 4, m, 2, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 1)\/(2\/(-5)). Suppose o*c - 4*n = 4, -c - n + 4*n = 8. Suppose -g + 10 + 0 = 2*f, 3*g = 3*f - 6. Put 3\/4, c, g in decreasing order.\nAnswer: c, g, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/24 + 10*(-279)\/(-2160).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42955680 by -1342365.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a millennium in years?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.173.\nAnswer: 0.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21894 + 21894 + 19*z**3.\nAnswer: 19*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -103 - -186. Let a = -29 + 31. Suppose 3*i + a*f = 6*f + 79, 0 = 3*f + 12. Calculate the remainder when z is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvwzwwzzzwwzv. Give prob of picking 2 w.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 13 = -19. Suppose 2*z = z - b. Let d = -18 - z. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d + 2. Let b(a) = -5*a + 3*a + 2 + 9*a. Let h be 23\/(-5) + (-26)\/65. Calculate h*o(x) + 4*b(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -830 + 830. Sort -0.1, 2\/5, w, -3\/7.\nAnswer: -3\/7, -0.1, w, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 10 + 1)*(-2*l**2 + 4*l**2 + 0*l**2) + 7*l**2 - 15*l**2 + 2*l**2)*(-15*l + 11*l + 74*l) as s*l**3 + q*l**2 + p*l + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*u - 124*u = -336*u + 4340 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75577\/232 - -2607\/8. What is the common denominator of -73\/290 and q?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60907619, 60907618, 60907617?\nAnswer: 60907616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/39*1*((-399)\/(-14))\/19.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 836.\nAnswer: -1\/418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55665, 111339, 167003, 222657, 278301?\n\"Answer: -5*j**2 + 55689*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 0, -2\/3, 2, -42, -28\/3 in descending order.\nAnswer: 2, 0.06, 0, -2\/3, -28\/3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083477 greater than 1083477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.6 (b) 0.1 (c) -0.03 (d) -4 (e) 1\/7 (f) 1.69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 25 + 5 = 0, 3*p + 10 = -2*t. Suppose 12692000 = -5*w + 3*y - 21308000, p = 5*w + 5*y + 34000000. Round w to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -717 by 1281.\nAnswer: -239\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**5\/60 + 43*s**2. Let m(f) = 55*f. Let a(t) = 27*t. Let c(q) = -13*a(q) + 6*m(q). What is c(h(l))?\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1307450 - 744421. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/3252 and -5\/9214.\nAnswer: 55284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*y = 77*y + 97. Calculate the remainder when y is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-4\/23))*r**(1\/12)\/r*r**(2\/27)*r*(r\/(r*r*((r**11\/r)\/r)\/r))\/r)**(2\/25) assuming r is positive.\nAnswer: r**(-24017\/31050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -8. Let v be (4\/6)\/(-2) + 77\/42. Which is greater: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6. Suppose c + 4*c - 110 = m. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 144 = -135 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285*j - 60 = -290*j. Solve -5*i - 4*u - 8 = 4, -i - 4*u - j = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b**2 - 9*b - 8. Let l(d) = d**3 - 7*d**2 + 8*d + 8. Let f(n) = 4*i(n) + 5*l(n). Let t be f(4). Calculate the highest common divisor of 37 and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 5*f**2 + 3*f**2)*(2*f - 2*f - 2*f**2) - 10*f**3 + 10*f**3 + 7*f**4 + 38*f**4 - 23*f**4 - 46*f**4.\nAnswer: -22*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 44*p + 240. Calculate z(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.962 - -0.038. Let o = -0.17 - -0.37. Let g = 0 + 1. Sort g, q, o in decreasing order.\nAnswer: q, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14775 is divided by 14058.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cecxeccecocoeecedeo. What is prob of sequence eod?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/3 - 11860898*j\/3 + 35170225341601\/3 = 0. What is j?\nAnswer: 5930449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 6113510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -203 - -204.97. Let b = i + -1.77. What is the nearest to 2\/9 in b, -0.5, 2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 323, 315, 301, 281, 255, 223?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28664*f + 14297*f - 22147*f.\nAnswer: -36514*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -310 - -309.1. Sort 157, -5, c, -2\/3 in descending order.\nAnswer: 157, -2\/3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 b when three letters picked without replacement from neeeceecbcgjcne?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000111 + 1010010010010110?\nAnswer: 1010001111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 222 + 230 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13854 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 543 - 612 + 1004 + 3*s - s**2 in the form f + r*s**2 + y*s and give f.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (96\/(-20) + 4)\/((-2)\/10). Suppose 5*c + 692 = h*o, 0*o + 4*o + c = 716. Suppose -3*t + 2*d - 184 = -4*t, d + o = t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 282 - 7?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 10. Let i be (36\/5)\/((-6)\/(-15)). Let g be (7 + 1 + -2 + -2)\/i. What is the closest to w in -2, g, -1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/182 - -44\/91. Let l = -1 - -0.3. Let m = l + 0.8. What is the nearest to p in 0.5, m, -0.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*s**4*v**3 - s**4*v + 8*s**2 - 68*s*v**3 + 5*v**3 wrt s.\nAnswer: -48*s**2*v**3 - 12*s**2*v + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**3 - 4*n**3 - 2*n**3)*(4*n - 4*n + n) - 4*n + 4*n - 14*n**4 + 16*n**4 + 708*n**3 - 708*n**3.\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/(-9))\/(8\/12). Suppose 0*g = -g + w. What is the remainder when 27 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21582122.\nAnswer: 2, 1439, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(5 + -4)*30\/(-3). Suppose 0 = -19*o + 24*o - j. Solve -4*t + 4*m = t - 4, -o*t + 28 = 3*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 80\/33 and 67\/204.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 10 - 12 - 3 + 4*i. Let j be d(6). Suppose -2*a + 5*r + 15 = 3*a, 17 = 3*a + 5*r. Solve 2 = a*x + 5*w, -3*x + 2*w + j = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -175901053500634.999893 - -175901200099440. Let c = -146598542 + s. Let k = -263 + c. What is k rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i**2 - 7*i**2 + 7*i**2)*(-1 - 1 + 0)*(-i + 4*i - i).\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 477, 11, 5 in ascending order.\nAnswer: 5, 11, 477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 5*d**2 - 5*d + 4. Let l be w(4). Let q(t) = -t**2 - 9. Let r be q(l). Let k = r - -18. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*-1 + sqrt(96)\/sqrt(3))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135)\/(-35) + (-3)\/(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-126))\/(1\/(-3))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 15 + 17 + 4*a as u + p*a and give u.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**4*s**2 - 3*d**3*s - 19*d**2 + 7*d*s**2 + 8*d - 119*s**2 wrt d?\nAnswer: 24*d**2*s**2 - 18*d*s - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9143 = -2024*w - 977 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 8312.\nAnswer: 108056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223001 (base 4) to base 12.\nAnswer: -1715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1787584631?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**3 - 4*l**2 - l + 1. Let p(k) = 5*k**3 - 3*k**2 - 2*k + 1. What is -5*o(s) + 6*p(s)?\nAnswer: 15*s**3 + 2*s**2 - 7*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**4 - 16260*y**3 + 326752*y**2 - 197808*y - 7058880 = 0.\nAnswer: -4085, -4, 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-16 - 2) + 6 + (-7 - -60).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/9 + -1)\/((-343)\/(-3087)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/14*-12 + 8273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/73 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**5\/30 + 2*u**2. Let t(m) be the third derivative of -m**5\/10 + m**2. What is t(f(k))?\nAnswer: -24*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 3*j**2 - 5*j. Let n be k(-4). Suppose -n = -5*z + 3*z. What is the remainder when z is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*p + 4*g, 6*p + 26 = 2*p - 2*g. List the prime factors of (57 - 53)*((-322)\/p + 1).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 s when three letters picked without replacement from {s: 4, c: 3, w: 10, h: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 3874 = 54*j + 64*j, 157 = 403*z - 405*z + 4*j + j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yys when three letters picked without replacement from {s: 3, y: 8}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*((-5*sqrt(931)*-2*5)**2 + -1).\nAnswer: 4655000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -231594 divided by 58\nAnswer: -3993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 237739.7m?\nAnswer: 237739700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1258 + 1268 - (0 - 6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 1:44 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 15. Let x = 5 - 2. Suppose -x = -j - q*j. Let z(o) = -2*o**2 + 3*o + 2. Calculate z(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -51 + 441. Let s = 68 - q. Solve -s*g + 24 = 3*a, g = -5*a + 27 + 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-63225)\/12*(-3)\/10. Let z = -315673\/200 + j. Find the common denominator of 107\/60 and z.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Suppose h*j + 26 = 104. Sort -2, 1\/3, -3, j in decreasing order.\nAnswer: j, 1\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 307 = 5*q - 0*g, -3*q = 5*g - 193. Let f = q + -365\/6. Let h be 1\/(-3) + (-72)\/(-135). What is the closest to f in 2\/5, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-34)\/10)*(-50)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1344 + 7147 = 2*v + 5*z - 4443, 0 = -2*z. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f52 + -4?\nAnswer: -2f56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 - -0.99. Let g = 26 - 32. Sort g, -4, c in ascending order.\nAnswer: g, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -9*i**4\/7 + 25*i**3\/7 + 123*i**2\/7 - 109*i\/7 - 30\/7 = 0?\nAnswer: -3, -2\/9, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1\/12, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10476?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus -37843?\nAnswer: 37849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 8*i + 8. Let p be n(-6). Let u be 6\/p*(-8)\/(-6). List the prime factors of u\/(1\/(26\/(-4))).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*x**4 - 2*x**3 - 18627*x**2 + 826593*x - 3 wrt x?\nAnswer: 168*x**2 - 12*x - 37254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10583 + 14543. Calculate the greatest common divisor of x and 550.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1792226 plus 204?\nAnswer: 203.8207774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 98*g**3 + 15*g**2 + 10*g - 702. Let o(z) = -49*z**3 - 7*z**2 - 4*z + 348. Let h(d) = 5*o(d) + 2*r(d). What is the derivative of h(i) wrt i?\nAnswer: -147*i**2 - 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2 = 3, 3*j = 5*c + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 i when four letters picked without replacement from iimamiaaaia.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24\/18463? (a) 3 (b) -3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 912, 929, 946, 963, 980?\nAnswer: 997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*n + 1 + 18*n**2 - 19*n**2 + 6*n)*(-9 - 17 + 12)*(1 + 0 - 2)*(-1 + 2 + 1).\nAnswer: -28*n**2 - 336*n + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-3 + 100\/32). Which is the third biggest value? (a) 0.4 (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -4*v**4\/3 - 878*v**3\/3 + 220*v**2 - 9070*v. Let z(j) = 0. What is j?\nAnswer: -110, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b**2 - 32. Let m(s) = 5*s**2 + 24. Let y(f) = 4*m(f) + 3*o(f). Let n(k) = 3 + 2*k + 3 + 0 + 6. Give y(n(q)).\nAnswer: 8*q**2 + 96*q + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10463, -10392, -10387, -10472, -10671, -11008, -11507?\nAnswer: -12192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*p + 5*t - 26 = 0, 0 = -p - 3*t + 16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zbzvkkvtzztbztvzkz?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {n: 2, y: 1, i: 1, h: 1, x: 8, t: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -255 divided by -15\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.36*-759121.\nAnswer: -273283.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Suppose -2*m + q = -1. Suppose -m*x + 222 = -0*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 12. Suppose 4*r + 20 = 8, -2*u = -2*r - 6. Solve -3*h - t*h = u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 294 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3975741099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 8 = -2*o, 9 = 5*o - 3*g - 9. Suppose 5*i - 2 - 38 = 0. Suppose -i = 4*p - 72. Calculate the remainder when p is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -799, -3174, -7133, -12676, -19803, -28514, -38809?\n\"Answer: -792*v**2 + v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 16. Let m be (r - 1) + 42*2. Suppose -4*h = -3*h - m. What are the prime factors of h?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 146 and 238.\nAnswer: 34748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 114017 divided by 6\nAnswer: 114017\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -54\/7, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1916826 - -8795826. What is o rounded to the nearest 100000?\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -0*u + u. Let p(z) = z**2 + 9*z + 10. Let i be p(u). Is (-2 - i)*381\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654*b - 359172 = 11538*b for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + 4 + (-10 - -2). Suppose -2*k - g + 29 = -0*k, g = -5. Let r = k + x. What is the remainder when 9 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.098 - 0.198. Let a = j + -13. Let q = 2.835 - a. Round q to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7 and 1548726?\nAnswer: 1548719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 7*k + 1. Let g be l(6). Suppose c - 9 = g. Let r = c + -7. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*k = 211, -5*k - 136 = -20*w + 24*w. Let s(m) = -11*m - 320. Does 17 divide s(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 8:50 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62262 = 438*a + 858*a + 1116*a - 106*a for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vykyjjwkkkjykkyb. What is prob of picking 1 b, 2 k, and 1 y?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q + 18 = 0. Let i = 9 + q. What is the remainder when 22\/i - 2\/6 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.01358\nAnswer: -0.005432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 2*j - 3*j)*(-21 - 159 - 61).\nAnswer: 482*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 123849 divided by -11259?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-3)\/15 - (-282)\/30. Solve -5*d + 17*m - 20 = 16*m, 5*m = -5*d + v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -5002544.\nAnswer: 1\/2501272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 911 = -1483. Let a = p + 986. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25.1 and 122.\nAnswer: 3062.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*l + 2*c = 3872, 2 = -c. Let v be l\/918 + -1 + 7\/6. Is 0 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a - 24?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - -13)\/(-3) + 52 + 2890.\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18976 = 10*g + 1346. Round g to the nearest ten.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2754\/504 + -6 - (-13)\/(546\/12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/5 - 36*m**3\/5 - 24*m**2\/5 + 164*m\/5 - 102\/5 = 0 for m.\nAnswer: -17, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*l + 26*l + 27*l + 435 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 83*t + 47. Let y be u(-41). Solve o = -4*p - y - 8, -4*p = 5*o + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (330\/(-660))\/(250\/(-60))?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pppptntpttppp?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153532 (base 7) to base 4.\nAnswer: 13112131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 1. Let w be l(1). Let u be 1*(-1)\/(w - -1). Let b(c) = 3000001*c**3 + c**2 + c + 1. Let k be b(u). Round k to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 14 = 4*p + 2, -3*c + 2*p = 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (11 - 30)) + -16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319266?\nAnswer: 2, 3, 17737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15455, -15532, -15655, -15824?\n\"Answer: -23*n**2 - 8*n - 15424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 - -7)\/((-2)\/(-464)). Suppose -10 + 2 = -2*z. Suppose 4*p - k - z*k = 437, -2*p - 2*k = -b. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111 + -117.3. Let w = s + 6. What is the smallest value in w, -5\/3, 0.4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76024553 to the power of 1\/2, to the nearest integer?\nAnswer: 8719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*(sqrt(294) + (sqrt(294) - sqrt(294)*1)))\/sqrt(6))\/(sqrt(63)\/((sqrt(99) - 2*sqrt(99))\/sqrt(11))))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -288 (base 11) to base 12\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -646*a**2 - 42*a + 63*a**2 + 42*a in the form c + r*a**2 + q*a and give r.\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/6 and -5\/886?\nAnswer: 2658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1771 - 483. Is 56 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 35148?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*t - 94*t + 43*t - 224 + (-4 + 1 + 4)*(-2 - 2*t + 2) + (-1 + 0 + 3)*(-2*t - 1 + 1) as a + s*t and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/52, -3\/2, 1, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**2 - 44*h + 30. Calculate p(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z = -4*x + 637, 0 = -x + 4*z + 133. Let j = x + -155. Put j, -3, 3, -11 in ascending order.\nAnswer: -11, -3, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094768565 to the power of 1\/2, to the nearest integer?\nAnswer: 33087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 2*x**2 - 4*x**2)*((x - 3*x + 0*x)*(1 - 1 - 1) + 2*x + 2 - 3*x + 0*x).\nAnswer: -3*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -237 divided by -3\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1079*t**3 - 22*t**2 - 27247.\nAnswer: -3237*t**2 - 44*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxpvxvqxxvv. What is prob of sequence pxxv?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**3 + 4*f**2 - 2*f + 2. Let h(m) = 0*m**2 - 2*m**3 - 2 - 3*m**2 - 6*m + 7*m + 0*m**2. Calculate -4*h(t) - 3*i(t).\nAnswer: -t**3 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 86. Let u(r) = -349*r. What is u(a(c))?\nAnswer: -349*c - 30014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {m: 3, z: 15}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 4. Let m be j(0). Suppose -31 = 3*c - 43. Suppose -w + 377 = 3*v - 3*w, 0 = m*w + c. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*q - 5303*q**3 - 9*q + 55166*q**2 - 55166*q**2)*(2 - 2 - 2) to u*q**3 + j*q + h*q**2 + a and give u.\nAnswer: 10606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -8. Let d = -0.2 - -0.2. Which is the smallest value? (a) -5\/6 (b) w (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 2*s**4 - 3*s**2 - 3*s**2 - 2*s**3)*(-1 - 3 + 2)*(4 + 0 - 5).\nAnswer: -4*s**4 - 4*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/16 and -29\/1055880.\nAnswer: 2111760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10946)\/(-39)*9\/8 - -2. Let y = -319 + d. Which is greater: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 384*q + 4192. Give x(-11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**3 - w**3 - w**3 + (4*w**2 - 16*w**2 - 12*w**2)*(4 + 2*w - 4)*(-2 - 1 - 5) in the form b*w**2 + a + g*w**3 + q*w and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87 - -349\/4. Suppose -9 = -3*h - 6. Let r be ((0 - h) + -2)\/(-1). Sort -4, r, s in descending order.\nAnswer: r, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 - -56 - (-3)\/4*80\/60.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53\/12 + -15\/4. What is the nearest to 1 in t, 34, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35.1 or -44?\nAnswer: -35.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 728*c + 3237*c - 592*c + 2825*c.\nAnswer: 6198*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 3*p**2 - 2*p + 3. Let z be g(2). Let d = -1356.8 - -1419. Let k = -60.2 + d. Which is the closest to z? (a) k (b) -5 (c) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25802959 and 686?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 0.011, -3, 1.9, -0.06, 19?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -4\/15, -76 in increasing order.\nAnswer: -76, -4\/15, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -6 + -2 + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 137421, 134432, 131443, 128454?\n\"Answer: -2989*x + 140410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -13*g**3 - 49*g**2 + 10*g - 11. Let s be q(-4). Which is the fifth biggest value? (a) 1 (b) 4 (c) -1\/100 (d) -2\/3 (e) s\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 39*i + 53 + 48 - 42*i.\nAnswer: -3*i + 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68658671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((54\/77)\/(-3))\/(44\/((-77616)\/189))?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.736 rounded to 1 dp?\nAnswer: 19.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 29*s - 1. Let y be d(1). Suppose 80 = y*w - 24*w. What is the remainder when w is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*a + 86265 = 5*x, -2*a + 143803 = 5*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 2. Let h = 9.6 - 10. Which is the biggest value? (a) y (b) h (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*p - 6, 2*w = 2*p - 8. Let c(h) be the third derivative of 0*h**3 - 1\/60*h**5 + 0*h - 5\/24*h**4 - 10*h**2 + 0. Determine c(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31*t**3*v*x**2 - 76*t**3*x - 31459*t**3 - t**2*x**3 + 3*t**2*x**2 + 486331*v*x**3 wrt v?\nAnswer: -31*t**3*x**2 + 486331*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -2*p. What is the first derivative of -3 - 2*m**p + m - m wrt m?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (4 - (-3)\/(-6)*14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -2. Let a = -678.7 - -87.7. Let g = 593 + a. Put s, g, -2\/15 in increasing order.\nAnswer: s, -2\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262751 to the power of 1\/2, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p - 6*p - 259396*p**2 - 2*p.\nAnswer: -259396*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 51250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1971 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2426887, -2426886, -2426885, -2426884, -2426883?\n\"Answer: g - 2426888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-241)\/(-1687)*(1 + -11)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 161 + -8213\/51. Let o = 5\/17 - x. Let o + 1\/3*k**2 + 2\/3*k = 0. What is k?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 6, 0, -1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, k: 1, h: 1, y: 5}. Give prob of picking 1 h and 2 y.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilometer in millimeters?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3d (base 16) to base 14\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b - 4. What is i(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + -1714?\nAnswer: -1672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.9 (b) 0 (c) -1888\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 1\/12*f**4 + 0*f**2 + 2*f + 0*f**3 + 0. Let d(p) = p**2. Calculate g(d(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 72497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3248, -12623, -28110, -49709, -77420?\n\"Answer: -3056*t**2 - 207*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9953910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-44) - (-4)\/22?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 4*m - 36, -g + 5*m + 507 = 494 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 5:35 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20095)\/(-7) - 60\/(-210). Is q <= 2871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -148 + 128. Put -0.4, 1, 1\/2, r, -3 in descending order.\nAnswer: 1, 1\/2, -0.4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 12 = 62 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*k - 49 + 49 in the form o + w*k and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101266 (base 7) to base 5.\nAnswer: 1023141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1325408 or 1325410?\nAnswer: 1325410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 111*f - 3012. What is j(34)?\nAnswer: 762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3 = -1. Let n = -0.433 - -0.033. Which is the nearest to l? (a) n (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 5*r - 4. Let n be -10 - (2 + -3)*3. Calculate the lowest common multiple of 16 and u(n).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 372387 divided by 372387\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 19*g - 20*g - 3 + 1. Let l be t(-6). Suppose 20 = l*u - 2*h, 0 = 4*u + h + 2*h. Solve -u*f - 8 = q - 2*f, 3*f = -12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t - 9. Let v be g(-6). Suppose -110*u + 115*u = 10. Let l be 25\/5 - 3 - -3 - u. Solve -o + l = -3*i + 2*i, -5 = -v*o + 5*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003639554 to five decimal places.\nAnswer: -0.00364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 90138 divided by 45069?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 430 - 429. What is the fourth biggest value in -0.5, 0.1, 3, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3001658 divided by -6346\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 341 = 117. Let b(s) = -21*s - 37. Let d be b(-7). Suppose -2*u = -n - d. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 738 - 532. Calculate the remainder when r is divided by 3975\/100*(-8)\/(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n + 124*n = 980 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**2 - 16*k - 1. Let z be u(-4). Let s be z*(-5)\/30*3. Solve -1\/4*i - 1\/4*i**3 - s*i**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 20*h + 3 = 0. Suppose -h*o = -14*o - 385. Let l = -30 - o. Solve -n + 12 = 4*j, 6 + 14 = l*j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 0*x**2 - 3*x**2)*(-3*x - 2 + 2) + (-1 + 1 - x)*(-2*x**2 + x**2 + 0*x**2) - 3*x**2 + 3*x**2 + 7*x**3.\nAnswer: 17*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.53806331 - -0.004.\nAnswer: 15.54206331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14804937739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1121672 + 597928. Round d to the nearest ten thousand.\nAnswer: 1720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -17. Which is greater: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 2*s, -12*s - 4 = -3*d - 10*s - 0*s - 6 + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -10*u**5 - 95*u**4 - 325*u**3 - 500*u**2 - 340*u - 80 = 0.\nAnswer: -4, -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/133)\/((-4)\/(-28)*11\/(-2079)*7).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14011*o**2 - 10259*o**2 - 21769*o**2.\nAnswer: -46039*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 50. Let f be 2 - (-56)\/v*-1. Which is the second smallest value? (a) f (b) 0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 16454?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*p - 161*p = 0. Let l(n) be the first derivative of 31\/5*n**5 + 0*n**4 + 20 - 15*n**2 + p*n + 0*n**3. What is the second derivative of l(r) wrt r?\nAnswer: 372*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/10 of a meter?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 31039\/20 - (-22)\/(-55). Let m = 1551 - r. Calculate the common denominator of m and 1\/(-8)*89 - -1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.1 * -0.189\nAnswer: -1.1529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/10*45\/2. Let t be (4 + (-1)\/1)*-1. Let h be t - ((3 - 3) + -15). What is the greatest common divisor of h and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7595*j**2 - 7597*j**2 - 7597*j**2 - 7597*j**2 + 30390*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 178*b + 1067. What is f(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 - 5*d**2 - d**2.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -37, -22, 9, 62?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -158*k**5 + k**4 - 10*k**3 - 21*k**2 - k - 145 wrt k?\nAnswer: -9480*k**2 + 24*k - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Suppose -q*o - 5*o = -42. Let k(r) = r**2 - 5*r + 8. What is the lowest common multiple of k(o) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 468, 1027, 1814, 2835, 4096, 5603?\nAnswer: 7362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 10. Suppose h*g + 26 = 206. Is g at most 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -10 - (22 + -9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.66588 litres to millilitres.\nAnswer: 86665.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2100 by 621.\nAnswer: 700\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*v + 4 = 9, 4*v = 4*b - 4. Suppose -2*t + 0*t + 56 = 5*q, b = 2*t - 3*q - 24. List the prime factors of 1*t\/(3 + -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 147*f**2 + 20*f + 34. What is the hundreds digit of q(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a + 50 + 610 = -9*a for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -274 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -362*c**3 - 1578 - 578*c + 802*c**2 - 1405 - 6*c**4 + 28*c**3 + 3099 = 0. What is c?\nAnswer: -58, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5405020 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79228 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129216 is divided by 21529?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 25 = k + 18, 4*k - 377 + 370 = z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-14 - -8) + 29 + (24 - 18 - -12)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdmdmdmddmmmdd. Give prob of picking 3 m and 1 d.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 plus -17.76?\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265063?\nAnswer: 73, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -584740177 or -584740179?\nAnswer: -584740179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237424.\nAnswer: 2, 11, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.34 and -6?\nAnswer: -2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 68251 times 1?\nAnswer: 68251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3330027526 rounded to 2 decimal places?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1376 + 5733. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*v = -5*v, 0 = -4*v. Let q = 17 + r. Let s = q + -7. Calculate the lowest common multiple of s and 38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2058 minus -0.938?\nAnswer: -3.2678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from {l: 1, y: 12}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -714*r + 1091*r + 727*r + 622*r + 458*r to the form c*r + y and give c.\nAnswer: 2184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -550?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11050\/36359 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-930)\/(-775))\/((-3)\/25).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -5 - 1) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1\/5, 3.2 in decreasing order.\nAnswer: 3.2, 1\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.05 from 94301231.52.\nAnswer: 94301231.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 7*t**2 + 6*t + 6. Let y(x) = 2*x - 27. Let u be y(5). Let b be ((-3)\/(30\/(-16)))\/(u\/85). List the prime factors of v(b).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(72) - (3*sqrt(72)*-2 + sqrt(72))) + sqrt(72) + -1 + -5 + -3 + -1)**2.\nAnswer: -1008*sqrt(2) + 3672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -20499*u + 2. Let a be m(-2). Suppose -a = -x + o, 8402 + 32598 = x + o. Round x to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8419, -27468, -59217, -103666, -160815?\nAnswer: -230664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 3*w - w)*(2*w**3 - 7*w**3 + w**3)*(-4 + 3 - 1) + 2*w**4 - 4*w**4 - w**4.\nAnswer: -27*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 5*s. Let p be -1*(-6)\/(4 + -1). Suppose -2*t + 7*t = -q - 7, 3*q = -2*t + 31. Let w be p\/13 + (-67)\/q. Calculate g(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 15. Solve 3*j - 10 = t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59.9 + 10.9. Let i = x - -48.99999985. Round i to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/u**(2\/13))*u*u\/(u*((u\/((u\/u**(-2\/7))\/u))\/u)\/u*u)*((u*u**(1\/18)*u)\/u)**(-30) assuming u is positive.\nAnswer: u**(-8252\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 21*m**6\/10 - m**5\/4 - 17*m**3 + m**2\/2 + 6*m - 68. What is the second derivative of x(w) wrt w?\nAnswer: 756*w**2 - 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 less than -48?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -557.\nAnswer: 278.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518*t = -533*t - 60 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjsxxdwbjjsw. Give prob of sequence xxj.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -183823 and 18344.\nAnswer: -165479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 379989804 to the power of 1\/3, to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -86710 (base 12) in base 16?\nAnswer: -2b47c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 - 48. Suppose -b = -s + f + 21, -4*s + 144 = 4*b. Suppose -60 = -5*u + 5*g, -4*u + 47 = -2*g - g. What is the remainder when s is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28.0001094 + -28. What is z rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.1 (b) -0.02 (c) 36 (d) -6 (e) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5292 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 - 1 - (23 - 22))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 10, -2\/15, -4\/9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -723 + 727 = -4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 129 = -115. Suppose 4*r - 3*z = -z + o, -2*r + 2*z = -122. What is the remainder when r is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 53*f**2 - 123*f + 40. What is the derivative of m(q) wrt q?\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 72225432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -964324 and -108.4?\nAnswer: 964215.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36\/21)\/((-142)\/(-14) + -10). Solve -3 + k = 3*d, 5*m + 2*d = 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/19 (b) 5 (c) 2233\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**3 + 3*p**2 - 3*p + 96 wrt p?\nAnswer: 12*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**7\/840 - s**6\/360 - s**3\/6 + 2*s. Let b(n) be the second derivative of g(n). What is the third derivative of b(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 2290333676327?\nAnswer: 2290333676325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-1) + -4 + 2. Suppose 14 - l = 2*q. Let -2\/3*d**4 - 8\/3*d**q - 2*d**2 + 8\/3 + 8\/3*d = 0. What is d?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 942758961?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 66 = -12. Let i = r + -15. Solve -5*d = g + 17, -d - d + i*g = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 + 123*f**2 + 20*f - 3663 + 1839 + 1824 to the form u + m*f**2 + s*f and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmlz when four letters picked without replacement from {z: 6, l: 12, m: 1}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/36 + (-22)\/99)*-1. Let h(z) be the second derivative of -10*z - 5\/2*z**2 + 0 + r*z**3. What is h(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6540)\/2725)\/((-2)\/2)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o - 9*o + 5*o)*(5*o**3 - 2*o**3 - o**3) + (3*o - 2 + 2)*(179 + 15*o**3 - 179) as q*o**2 + z*o**3 + m + v*o**4 + g*o and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-80)\/(-12) + -6 + 1610\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7366\/5 - 1473. What is the smallest value in 26\/9, a, 1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 10*b**3 + 3*b + 16*b**2 - b**4 - 15*b**2 - 2 in the form l*b**4 + r*b**2 + w*b + s*b**3 + o and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, 4, 3 in decreasing order.\nAnswer: 191, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.045 times -446189\nAnswer: 20078.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/15 - 0)\/(3\/(-45)). Sort f, 116, -4, 2 in decreasing order.\nAnswer: 116, f, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46960 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 10*b**2 - 11*b - 1. Let r(o) = o**2 + 4*o - 10. Let u be r(-7). Let l be f(u). What is the tens digit of 20 + (-3 - (l - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -673\/953354 or 0?\nAnswer: -673\/953354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/((90\/135)\/(2\/3)). Put -1, b, -21 in increasing order.\nAnswer: -21, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003744 to six decimal places.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 63\/18 + 1\/((-2)\/(-3)). Suppose 0*p - s*p - 5 = 0. Let x be (p\/3)\/((-2)\/84*2). Calculate the greatest common factor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 111, 408, 893, 1560, 2403, 3416, 4593?\n\"Answer: -c**3 + 100*c**2 + 4*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -10, -3, -4 in decreasing order.\nAnswer: -3, -4, -10, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 74659, 149288, 223891, 298468, 373019, 447544?\n\"Answer: -13*f**2 + 74668*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30\/17 + -193\/119. Sort -1\/6, t, -0.1 in increasing order.\nAnswer: -1\/6, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720)*-2 - sqrt(35)\/sqrt(252)) + (sqrt(10) + sqrt(80)\/(sqrt(8)*1))\/(sqrt(22)\/(-2*sqrt(11))))*-3.\nAnswer: 169*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/12 and -19\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 88*j - 2161. Determine v(24).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 + 141. What are the prime factors of w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(51*u + 4 + 53*u - 107*u).\nAnswer: -6*u + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - o - 13 = 0, 36 - 36 = 3*h - 2*o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (-4 - -1))*-1. Let u = 7 + k. What is the third derivative of -2*q**2 - 5*q**5 + 2*q**5 + u*q**2 - 4*q**2 wrt q?\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/50655 - -4619734\/50655. Let w = u - 92. Put w, -1, 2 in descending order.\nAnswer: 2, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -11101?\nAnswer: 11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01004786694 - 22046.\nAnswer: -22045.98995213306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 + 34. Let j(f) = 2890955 + 15*f**2 - 2890955 - 5*f**2. Give j(w(u)).\nAnswer: 40*u**4 - 1360*u**2 + 11560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99 - -101. Suppose 127 = 2*o + 5*h, 3*o - r*h - 31 = 150. Let f(q) = 3*q + 1. Calculate the remainder when o is divided by f(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**4 + 56765*c**3*v + 16*c**2*v - 2001*c*v wrt c.\nAnswer: 24*c + 340590*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 0 + 17 - (8 + -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5966.4916 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3701?\nAnswer: 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 - 9*c**2 + 7*c + 3. Suppose 24*g = 14*g - 50. Give h(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zykkjyee. Give prob of picking 1 k, 1 j, and 2 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4\/277, 4, -355 in decreasing order.\nAnswer: 11, 4, 4\/277, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*g + 41 = 0, -3*t + 2*t - 12 = 4*g. Let y be ((-10)\/16)\/(-5)*2*t. Solve 4*h - 5*n = 37 - 14, 4*n = y*h - 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 7)*(-r + r - 7*r).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 5*p**2 + p - 1. Give a(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 4*b = -35, 11 = -518*f + 519*f + b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r - 3. Let h(w) be the third derivative of -w**4\/4 - 5*w**3\/6 - 7*w**2. Give -3*h(p) + 5*k(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10323 - -21321213?\nAnswer: 21331540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(-14 + 9 - 2)*(121*j**4 - 11522*j**3 + 11522*j**3 + 3*j).\nAnswer: 1694*j**4 + 42*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*z - 6 - 6 = 0, 0 = 4*p + 3*z - 16. Let a be 2*(-1 + 5\/2). Let u = 16718 - 16711. Solve 0 = a*t - y - 11, 0*t + 5*t - u = -p*y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojj when three letters picked without replacement from {o: 2, j: 5, b: 5}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -1402884?\nAnswer: 1402879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-2)\/((-6)\/(-33)). Suppose 105 = 4*w - 3*u, -2*w + v = 3*u - 44. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 481.58911 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 12 and 1358829.8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 4*j - 5*j + (-2 + 5 - 4)*(5*j - j + 5*j))*(-4*j**3 + j**3 + 2*j**3) in the form w*j**4 + x + b*j**3 + r*j**2 + k*j and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1581 = -236*s + 1132 - 1675 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1001101221021 (base 3) to base 9\nAnswer: -1041837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -195 + 92. Let c = -103.09 - q. Is -0.4 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 5*l = 8, -13002*l + 13 = -5*r - 13014*l for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -12*d**3 - 44*d**2 + 3*d + 4. Let n(m) = -7*m**3 - 21*m**2 + 2*m + 2. Calculate 4*b(l) - 7*n(l).\nAnswer: l**3 - 29*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36344180 is divided by 607?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 884 divided by -68?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*z + 1 = 0, 3*b + 35*z - 31*z = 10. Find r, given that 0 - 4\/7*r**b + 0*r - 6\/7*r**3 + 2\/7*r**5 + 0*r**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 - (26 + 2 - (9 - 14))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -102305 (base 6) in base 5?\nAnswer: -231241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**5\/30 + 7*o**4\/12 - 2*o**3 + 12*o**2 - 6. Let u be j(7). Suppose 0 = 4*m + m + 50. Which is smaller: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 51, 107, 165, 225, 287, 351, 417?\n\"Answer: n**2 + 53*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.4381 rounded to 1 decimal place?\nAnswer: -45.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -5, -1, 14 in increasing order.\nAnswer: -5, -1, -1\/2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/10)\/(10\/(-50))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -117*q - 49. What are the prime factors of s(-6)?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*h - 16*h - 15. Solve -w - v = -0*w - 3, h*w - 7 = -v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(15)\/sqrt(3) - sqrt(5))**2 + 3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**1)**(-22))**23)**(-12\/7) assuming l is positive.\nAnswer: l**(6072\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 2822*c = -2826*c + 32, -3*n - 4*c + 29 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1386619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z + 2. Let y(m) = -3*m + 1. Suppose 4*g + 4*s + 4 = 0, 0 = -2*g - g - 5*s - 13. Determine g*k(o) - 5*y(o).\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/24 and -131\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 76*v + 77. Let w be x(75). Let s(f) be the second derivative of 19*f - 1\/30*f**6 - 2*f**3 - 3\/10*f**5 - 13\/12*f**4 + 0 - w*f**2. Factor s(g).\nAnswer: -(g + 1)**2*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 41*m**5\/20 + 17*m**4\/12 + 42*m + 49. Let f(a) be the first derivative of r(a). What is the third derivative of f(o) wrt o?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1329, -2662, -3995, -5328, -6661?\nAnswer: -7994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 6 - 3 + 27*x**3 + (0*x**2 + 0*x**2 + 2*x**2)*(3*x + 2*x - 3*x) to n*x**3 + l*x**2 + r*x + f and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80 + -36. Let h(z) = 3*z**2 - 2*z - 1. Let t be h(-1). What is the highest common divisor of t and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 200*g + 3. Let z(w) = 200*w + 4. What is -3*b(o) + 2*z(o)?\nAnswer: -200*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7329242 is divided by 16251?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1251274.\nAnswer: 2, 625637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99 + -98. Let d(m) = -m**3 + 6*m**2 + 8*m - 7. Let o be d(7). Let c be 9\/(-2)*2 + o. Is s > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**4\/3 - 14*z**3 - 148*z**2\/3 - 64*z - 64\/3 = 0 for z.\nAnswer: -4, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/10)\/c**(2\/19))**(-12) assuming c is positive.\nAnswer: c**(6\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*i - 6, -i = -3*p + 3. Suppose 5*v + 3*j = -24, -v + p*v = j. Sort v, -2, 7 in descending order.\nAnswer: 7, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 1951, -4 in increasing order.\nAnswer: -5, -4, -2, 1951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 22*x**2 - 22*x + 30. Calculate the smallest common multiple of 144 and k(-23).\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 28*i + 41*i - 572113*i**2 + 572094*i**2 - 3 to the form t*i + o + a*i**2 and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348752190?\nAnswer: 2, 3, 5, 53, 421, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/153, 3, -2\/9, -6, 4, 0.4 in increasing order.\nAnswer: -6, -2\/9, -1\/153, 0.4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5079.\nAnswer: 3, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-5)\/(-15))\/(3\/(-87)) and 59\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1670 + -16671\/10. Suppose -2*q + 0*t = -4*t - 3830, 3*t = -5*q + 9510. Calculate the common denominator of v and ((q\/(-6))\/5)\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.01, 0.4, -76, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-20) + 6\/4. Let v(d) = 89*d**2 - 4*d + 4. What is the units digit of v(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238267.\nAnswer: 238267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -1112.27654447.\nAnswer: -1117.27654447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/28*-4)\/(((-3)\/3)\/1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + -3*((1*(sqrt(280) - -1*sqrt(280)))\/sqrt(8))\/(2*sqrt(343)*-1).\nAnswer: -5 + 3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.77 and 85.99.\nAnswer: 66.2123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -527, -525, -523, -521, -519, -517?\n\"Answer: 2*v - 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 2, u: 7, c: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) -2 (c) -0.03 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -704189?\nAnswer: 281675.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1420?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2697 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: Collect the terms in -1240*j**2 - 878*j**2 - 1 - 565*j**2 - 890*j**2 + 927*j**2.\nAnswer: -2646*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -1. Let l = -2 + d. Suppose -c + 4 - 1 = -w, 2*c + w = 15. Calculate the remainder when c is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 3*q + 71 = -46*q - 85, 79*q - 75*q = 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 - -2)*(-22)\/4. Suppose -2*u - 5*x = -5*u + n, 2*u - 70 = -5*x. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 35 + -31 - 13 - (-72 + 2 - -2).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/2, -2, 0.2 in descending order.\nAnswer: 1, 1\/2, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3091 is divided by 181?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2979*t - 983*t - 977*t + 1924 = 967*t for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2065620.\nAnswer: 2, 3, 5, 173, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17263, -17255, -17247, -17239?\n\"Answer: 8*a - 17271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 12 + 3 = 3*o, -3*v - 5*o + 9 = 0. Let c be (-1 - v)*-41 + -2. What is c rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/33, 3\/8, -1\/15, -2, -5, 0.5, 3\/5?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4*sqrt(17))**2 + sqrt(17) + (sqrt(136) - (sqrt(136) + sqrt(136)*-3))\/sqrt(8).\nAnswer: 4*sqrt(17) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32926 - 32926 - 9*n.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**4\/3 + z**3\/2 + 76*z + 1. Factor s(x).\nAnswer: -x*(4*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*k = 167, -583 = -6*l + 2*l - 5*k. What is the highest common factor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**4\/12 - 5*a**3\/6 + 5*a**2 + 3*a. Let z be k(-7). Is ((-19)\/(-2))\/(z\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (1 + -6)) + -1. Let o = 7 - 7.1. Let a = 0 + 0.1. What is the nearest to a in s, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 19*w + 7. Give o(-10).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i. Let t(q) = 5*q**2 - 2. Let w(f) = -4*f**2 + 3. Let p(h) = -3*t(h) - 2*w(h). Let n(j) = 11*j**2. Let o(l) = -5*n(l) - 7*p(l). Give o(x(b)).\nAnswer: -54*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 10009 = -4*j + 6*a, 0 = 2*a + 10. Suppose 0 = -i - 0*x + 4*x + 484, -j = -5*i + x. Let p be i\/(-8)*(19201 + -1). Round p to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4991372614 a multiple of 1666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.4, -5, 2\/13, 67727?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(45\/(-27))\/((-170)\/(-306)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**4 + 69*v**3 + 240*v**2 + 228*v = 0.\nAnswer: -19, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28912733\/323 - 4\/38 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 29\/6*c**3 + 17\/60*c**6 + 1\/30*c**5 + 0 + 0*c**4 + 0*c - 15*c**2. Differentiate d(a) wrt a.\nAnswer: 102*a**2 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-72)\/150*-15 + -7?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 2545920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (2\/3 - (-18)\/(-27)). Solve 0 = -3*j + 12, -3*j + 22 = -u*g + 2*j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 6\/(-14) + (-59)\/(-7). Which is the biggest value? (a) u (b) 2 (c) 0.3 (d) -0.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 14) in base 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 197 = -293. Let r(n) = -22*n - 6. Let k be r(-3). Calculate the greatest common factor of v and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 35*o**3 - 5 + 457*o - 457*o + 47 - 8.\nAnswer: 35*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 222*d + 4107.\nAnswer: 3*(d - 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1011882326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*n - 265, 4*n - 31 + 229 = 3*g. Let y be 8\/14 + (-5)\/g. Which is the closest to 0? (a) -4\/5 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2) + 1 - (30 + -20)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -1, -41, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129*u**3 - 1000*u + 234*u**3 - 104*u**3)*(3 + 1 - 3).\nAnswer: u**3 - 1000*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 577 = -5*j, 2*h + 11*j - 8*j - 385 = 0. What is the remainder when 440 is divided by h?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 447935 and -1.5?\nAnswer: 447936.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, 5, -4, 3277 in decreasing order.\nAnswer: 3277, 11, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -8*g + 11. Let k(y) = 7*y - 14. Give 4*d(j) + 3*k(j).\nAnswer: -11*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23870, 47108, 70346?\n\"Answer: 23238*l + 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9003 + 36939 = 16*i. List the prime factors of i.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535793?\nAnswer: 535793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bccbmccbbmgcacac. What is prob of picking 1 a, 2 b, and 1 c?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 8:15 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21094 + 228 = 588*f - 50414. Put 31, -4, 4, f, 2 in ascending order.\nAnswer: -4, 2, 4, 31, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 + 2207\/24. Let w = -7\/24 + p. Let z be 11 + -14 + (-5)\/(-2). Sort 0.4, w, z in decreasing order.\nAnswer: 0.4, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-10) - 31526\/(-220). What is the greatest common divisor of x and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1676793 divided by -19?\nAnswer: -1676793\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 209*p**2 - p - 1. Let v(h) = -835*h**2 + 4*h + 4. Determine 22*s(m) + 6*v(m).\nAnswer: -412*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 6*h + 12. Let n be p(4). Is (388\/16)\/(1\/n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {v: 9, b: 2, l: 4, x: 4, t: 1}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t. Let a(p) = 5*p**2 + 6. Give m(a(n)).\nAnswer: -20*n**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 63\/1369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 6:05 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-624))\/((-5)\/(105\/14)).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 3*s + 5. Suppose u = -4*c - u + 10, 5*u - 10 = -5*c. Let n be m(c). Solve -n*p - 25 = 0, -4*h + 4*p + 7 = 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**3 - 6*d**2 + 9*d - 5. Let j(i) = -12*i + 5*i**3 + 3*i**3 - 7*i**3 + 11*i**2 + 4. Let w be j(-12). Is v(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -2.01\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiwiwiiwwiwiiwiiw. Give prob of sequence wwii.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + -10 + 7 + 0. Let n(f) = f**2 - 1. Let s(h) be the third derivative of h**6\/30 - h**5\/12 + h**4\/24 + 5*h**3\/6 - 11*h**2. Determine m*n(b) + s(b).\nAnswer: 4*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000143118 to 6 dps.\nAnswer: -0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150836.\nAnswer: 2, 7, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -7*t**4\/12 + t**3 + 3*t**2 - 9*t. Let g(s) = 8*s**2 - 7*s - 7. Calculate -7*d(w) - 6*g(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 + 0 - (28 + -30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 679*c - 438*c - 480*c.\nAnswer: -239*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1.5, 0.2 in descending order.\nAnswer: 0.2, 0, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 93 + 31)*(-4*y + y + y).\nAnswer: 52*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25023583 is divided by 26706?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkpkkkkk. What is prob of picking 2 k?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64.3 + -56. Let l = q - 8.285. Let p = -0.01500704 + l. What is p rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*z - 3*z = 2, 0 = 2*d - z + 1. Let o be d - (-213)\/5 - (-6)\/15. Is 42 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.92 + 0.08. Let t be (-10)\/(-20) - (2 - 2). What is the third biggest value in -5, t, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*d - 152, 4*d + 2*v = 184 + 114. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + s + 1 - 19*s**2 + 2 + 18*s**2. Calculate h(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7184017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128737 is divided by 1063.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50674 - -50673.7. Let i = -5 - -3. Which is the third smallest value? (a) 3 (b) z (c) i (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaaaffsafff. Give prob of sequence fx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30092?\nAnswer: 2, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6\/35 - 3\/7. What is the nearest to -5 in w, -2\/17, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 12:30 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -20. Calculate the least common multiple of 4 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 27*b**2 + 2. Let q(m) = m**2 - m - 1. Let t(h) = -2*q(h) + v(h). Is t(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.16901 kilograms to grams.\nAnswer: 9169.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4210360, -16841426, -37893210, -67365718, -105258956?\n\"Answer: -v**3 - 4210353*v**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181c (base 13) in base 14?\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -14. Solve -3*u + 4 + h = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(1539)))**2 + ((0 + sqrt(1900))*2)**2.\nAnswer: -576*sqrt(19) + 32288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.81441 years to decades.\nAnswer: 0.181441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1573) + (-6*(sqrt(1573) + 1) + sqrt(1573))**2 + sqrt(1573) + sqrt(1573) - sqrt(1573)) - (3 + sqrt(91)\/sqrt(7) + -3*(3 + sqrt(13))).\nAnswer: 4094*sqrt(13) + 236172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(68)*-6 - sqrt(68)) + -5 - (((sqrt(68) - (-1*sqrt(68) + sqrt(68))) + 3 - (sqrt(68) - 5*(sqrt(68) + (sqrt(68) - (-1 + sqrt(68))))))*-3)**2.\nAnswer: -15879 - 1466*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272, 975, 1964, 3089, 4200, 5147?\nAnswer: 5780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5*q + 16 - 18 = 8, -5*k = 21*q + 67 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 20. Let k be a\/10 + 918\/10. Let n = -82 + k. Calculate the remainder when 30 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -39*k**2 - 5*k. Let g(o) = -19*o**2 - 2*o. What is 5*g(l) - 2*m(l)?\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47106009 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a5a - 350?\nAnswer: 70a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + (-2 - (-36)\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2. Let w(f) be the third derivative of -f**5\/8 + f**3\/6 - 4*f**2. Let z(d) be the first derivative of w(d). Calculate i(z(y)).\nAnswer: 450*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-1\/5)*q)**(11\/6)\/(q**(-1\/29)*q\/q**(-6\/7)) assuming q is positive.\nAnswer: q**(10081\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 159548 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1991 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccccpccccccccc. Give prob of sequence ccp.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-17 - (8 + -2)) - 12?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1121211?\nAnswer: -1121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 - -47. What is the units digit of 1638\/12 - (-3)\/b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86290021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 18) + 3 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/(1\/98). Let k be 1*-21*(-2 + 7 + (-203)\/21). What is the highest common divisor of l and k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/10 - (-42)\/5. Calculate the greatest common factor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f + 839923 + 170157 = 0. What are the prime factors of f?\nAnswer: 2, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6*p = -52. Suppose 0 = -2*j + 10 - 4. Suppose j*c - 70 = -2*c. Calculate the remainder when p is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4745735 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 2. Let w(b) = -b + 2. Let t(a) = 75*a**2 - 453*a + 12. Let o be t(6). What is o*w(v) - 7*s(v)?\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.021 + 1.279. Let k = 1.14 - a. Do -0.1 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34332650 to the nearest integer?\nAnswer: 5859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 7)*(-w - w**2 + w) + (-1 - 5 + 4)*(-1 - 2*w**2 + 1) - 324 - 15*w**2 + 324 to the form u*w + i + x*w**2 and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46574605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.1492 tonnes to kilograms.\nAnswer: 76149.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/23)\/f**(5\/2) assuming f is positive.\nAnswer: f**(-109\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 - -640?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 15*t - 10. Give n(-5).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/3 + (-52)\/20 + 3. Which is the second biggest value? (a) j (b) 4 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3153.9 + -3333. Let k = 179 + z. What is the biggest value in k, -2\/17, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -600.35419 to 0 dps.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1134642 and 32338?\nAnswer: 26096766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99 - -59. Let d = 27 - 23. Let h be (-4)\/x*5*d\/18. What is the second smallest value in -0.3, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l = 23*l - 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w\/(w*w**10)*w)\/w*w*w*(w*w**(-12\/11)*w)\/w)**19)**(13\/4) assuming w is positive.\nAnswer: w**(-16549\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 3, -31 in increasing order.\nAnswer: -31, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/s**(-8\/7))*s)\/s*s)\/(s*s**(-8)*s*s)*(s**(1\/2))**(3\/11) assuming s is positive.\nAnswer: s**(923\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + 4. Let i(c) = -c**2 - 4*c + 6. Let r be i(-5). Suppose -2*w - 3 + r = -2*l, l + 3*w = o. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*q = 115, 2*q + 15 = -q. Let j = -81 - y. Let o = -44 - j. What is the least common multiple of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 45*o = -2*o + 1134 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuttuuxx. What is prob of sequence uttu?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttdtttttdt?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/808596 and 22\/516603.\nAnswer: 18597708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -a - 4*a, 0 = -5*x - a + 4. Solve -o = -x - 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 16*k**2 + 15*k - 104. List the prime factors of g(9).\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19213188 by -286764.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.9 - -2. Let m = -0.3 + b. Let q be (-3 - -5)\/((-16)\/4). What is the closest to q in m, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0303 - 1.9697. Sort -5\/4, z, 2.7, -0.5.\nAnswer: z, -5\/4, -0.5, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(204)*-1 + sqrt(204)))\/sqrt(12) + 3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004528 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -41*u. Let v(r) be the third derivative of -r**4\/24 + r**2 - 71. What is s(v(c))?\nAnswer: 41*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/23 (b) -8 (c) -2\/97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 13299031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -326347*v**4 - 333770 wrt v.\nAnswer: -1305388*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2279986.02 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 2*v - 23, 5*v - 3*v + 14 = -2*f. Sort -4, 2, f.\nAnswer: -4, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3006000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/24 and -28\/136531107.\nAnswer: 1092248856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.4 - -4. Suppose 182*f = 205*f - 92. Which is the nearest to -8? (a) f (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 13949, 5 in decreasing order.\nAnswer: 13949, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009976071 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -20*l - 242653*l**2 - 2 + 3 + 485300*l**2 - 242650*l**2. Determine g(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1.1. Suppose -1 = -13*n + 25. What is the closest to n in 0.4, -3, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o**13)\/o))\/((o\/(o\/(o**(-8)\/o*o*o)))\/o))\/(((o*o**(-3\/10))\/o)\/(o*o\/o**(-9)*o)) assuming o is positive.\nAnswer: o**(83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n**3 + 5*n - 5. Let p(w) = 5*w**3 + 2*w - 2. Suppose 4*v + 3*o = 32, -17*v - 17 = -18*v - 3*o. Calculate v*p(g) - 2*t(g).\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8935135 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/21 and 10\/(-45) + 106\/(-54).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*h + 26 + 164. Suppose 2*a + 19 = -4*k + 63, -h = -2*k - 4*a. Suppose 0 = k*z + z - 4102. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -15. Suppose n - f*i - 10 = -2*i, -3*n + i + 28 = 0. What is the least common multiple of n and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -1574055?\nAnswer: 1574054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395 a factor of 28665755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10 + (-39)\/12)\/((-28)\/96)*945.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/246555 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5*s + 0 + 4)*(249 - 149*s - 249) to p*s + m + w*s**2 and give p.\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/21)*o**(-2\/25)\/o*((o\/(o*(o\/((o*o*o**(-12)*o*o)\/o))\/o*o))\/o)\/((o**(-20)*o)\/o))**2 assuming o is positive.\nAnswer: o**(8266\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 533797)*(110\/(-20) + 6). Suppose 100*x - d = 94*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 78 and 2536111.\nAnswer: 197816658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2553 + -2558. Which is the second biggest value? (a) -1 (b) 0.87 (c) u (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -5, 0.5, 2866, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81186.82mm in centimeters?\nAnswer: 8118.682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/285144 and -41\/2616.\nAnswer: 285144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 131331714?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 567319421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**3 + 8*a**2 - 11*a + 7. Let h(k) = 4*k**3 - 8*k**2 + 11*k - 8. Let u(n) = -5*g(n) - 6*h(n). Is u(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**0\/(((p**(5\/2)\/p)\/p)\/p*p*p) assuming p is positive.\nAnswer: p**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -0*o. Let h be ((-1)\/2)\/(1\/(-6)). Let c be (o\/(-1))\/(h\/1). Which is smaller: -1\/3 or c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 732962.0417 + -732710. Let o = -252 + j. Round o to 3 dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206549 is divided by 243?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 69, 68, 67, 66, 65, 64?\n\"Answer: -l + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 10*m**2 - 18*m - 20. Let s be d(-10). What is the greatest common divisor of 24 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - 3*u + 3. Let i be b(2). Solve i*q + 28 = j + 6, -4*q + j = 17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 198253*n**2*p + 14*p - 885 wrt n.\nAnswer: 396506*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7497 and 171990.\nAnswer: 2923830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4bb4 (base 14) to base 7.\nAnswer: 53514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 185\/(32\/4 + -7). Calculate the greatest common factor of 111 and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from {r: 6, l: 1, j: 1, s: 7}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1620 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 693 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 69*g**3 + 2*g**2 - 2*g. What is the remainder when o(1) is divided by (9\/(-4))\/(6\/(-48))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2485 divided by 5.\nAnswer: -497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*n + 32. What is the lowest common multiple of n and 7 + (6\/30 - 870\/(-25))?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3301102 (base 4) to base 9.\nAnswer: 23157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24243 and 105053?\nAnswer: 315159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 109988 and 28?\nAnswer: 769916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2547 + 2573 - (83 + 0 + 2)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(((-28)\/21)\/(9796\/(-474))).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -2015806339106.\nAnswer: 2015806339104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b = 130 + 710. Suppose s + 6 = 4*s. Suppose -b = -s*u + 4. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0)\/(((-353)\/1765)\/(14\/(-5))). Solve -7*b - 14 + g = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*w**2 + 12*w**2 - 9*w**2 + 66*w**2.\nAnswer: 35*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -66 (b) -76 (c) 4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -489?\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -4*m. Suppose -2*y + y + 106 = m. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 117*u**2 - 3*u + 5. Is g(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.37*0.05\nAnswer: -0.9185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -1\/7 (c) -3 (d) -91\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from {l: 1, g: 5, k: 10, w: 1}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7985866 rounded to 3 dps?\nAnswer: -0.799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/1 - 180\/(-9). Let j = g + -9. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3206260 from -0.1.\nAnswer: -3206260.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77780, 77787, 77780, 77759, 77724, 77675, 77612?\nAnswer: 77535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37510 and 186?\nAnswer: 112530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - u + 14, 0 = 3*l - 5*u - 2 - 0. Let b be l - (5 + -4 + 2). Solve g = -2*f + 3, -b*g = 4*f - 2*g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 47. Let h be -4 - 102\/(-18) - k\/6. Put h, 5, -2, 1 in descending order.\nAnswer: 5, h, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -112\/33307?\nAnswer: -112\/33307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -2 + (157 - (-151 - -314))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27548*w**3 + 17235*w**3 - 47361*w**3.\nAnswer: -57674*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6941, 14228, 21915, 30002, 38489?\n\"Answer: 200*z**2 + 6687*z + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 37. Let i(f) = 12*f + 30. Let p be i(j). Which is smaller: -91 or p?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2475 + 2488. Let u(v) be the first derivative of 4\/7*v + 2\/3*v**3 - 9\/7*v**2 + n. Find h, given that u(h) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19383.26491758 + 19410.46492. Let f = -27.2 + u. Round f to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134726153 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 3*l**2 + 6*l - 4. Let i be v(4). Suppose -5 = 2*z - 13. Let b = 4 - z. Solve 0 = g - b*g + i*t - 2, -t + 2 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4379 - -4384. Let v = 2\/173 + 328\/1557. What is the biggest value in 0.1, v, k, -10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67 + 183. Suppose -x = 14*y - 10*y. Is y less than or equal to -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.349898 + 1.35. What is r rounded to six dps?\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1055.1 and -0.0854?\nAnswer: 90.10554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 139*q - 953. Calculate b(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 34*1*(-6)\/(-12). Suppose -43 = -3*w + b. Let p = -16 + w. Solve 2*l + 3*l - p*r - 11 = 0, -l = -3*r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4407 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 4:40 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 + 30*s + 6*s**2 + s**2.\nAnswer: 2*s**2 + 30*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1278 and 710.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.944519 millennia in decades?\nAnswer: 94.4519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-280)\/(-15)*4\/(-16)*219\/73\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 12*l**2 - 10*l + 17. Let u be t(9). Suppose 3*s + 7*s - u = 0. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 20, 9570, -3\/8, 0.2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (65 - (39 + -38)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7878 less than or equal to -7864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 2435 = 11*f - 3*r, r - 2415 = -5*f. What is the remainder when f is divided by 78?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -1\/2 (c) -0.05 (d) 80 (e) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**4 + 3123773*a**3 + 742975*a - 6 wrt a?\nAnswer: -24*a**2 + 18742638*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -10, -6.\nAnswer: -10, -6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -5*l**5\/3 + 5*l**4 - 7*l**3\/3 + l**2\/3 - 622. Factor u(k).\nAnswer: -k*(k - 2)*(5*k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*sqrt(245) - sqrt(245) - sqrt(245))*-4)**2 + 2 + ((0 + sqrt(245))**2*2 - sqrt(245) - sqrt(245)).\nAnswer: -182*sqrt(5) + 35773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 11:59 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 3b5?\nAnswer: -3b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z + 24. Let v(y) be the second derivative of -y**5\/20 + 7*y**4\/12 - 5*y**3\/6 - 5*y**2\/2 - 7*y. Let u be v(z). Which is bigger: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1347.65 + -1520. Let r = 169 + u. Let v = 3 + r. Round v to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 6*k - 11. Let h be f(-2). Let w(r) = 7*r - 6. Let m(o) = 15*o - 12. Let p(z) = -6*m(z) + 13*w(z). Is p(h) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 4. Let w be y(8). Let z be (-2)\/(-2 - (1 + -1)). What is the derivative of -3 + z + 3*x**4 - w*x**4 wrt x?\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 10:29 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + (sqrt(125) + -5 + 0 + sqrt(125))**2.\nAnswer: -100*sqrt(5) + 527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -343, 1, 10, -27, 3 in increasing order.\nAnswer: -343, -27, -4, 1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + ((sqrt(272) + 1 + -5 - (sqrt(272) + sqrt(272) + 1 + sqrt(272) + 2)**2) + ((sqrt(272) + 1)*4 - (sqrt(272) + (sqrt(272) + -1)*-4))**2)*-6).\nAnswer: -195597 + 1224*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - -17. Solve p = 5*h - 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 146 - 146 - (3 + -14).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/4 or -201?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002131779 rounded to 7 decimal places?\nAnswer: -0.0000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2184811 or -2184712?\nAnswer: -2184811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n + 69. Let j be b(0). Let f = j + -64. Suppose t + f*y - 252 = -2*t, y = 0. What is the highest common factor of 28 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 7, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*i**2 - 11*i**2 + 29 - 6*i**2 - 6*i**2.\nAnswer: 3*i**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -2\/17 (c) 3\/4 (d) 0.17 (e) 33\/37 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 567829*t**3 + 84343*t**3 + 387434*t**3.\nAnswer: 1039606*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1065545 - 2?\nAnswer: -1065550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 3*t - 2. Let d be v(3). Let c be d + (-1 - 0 - -22). Suppose c = 2*r + q - 56, r - 50 = 2*q. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is aac9 + -b?\nAnswer: aabc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.0265 - -0.0265. Are f and -8 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*r = 615*r + 1270 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1796799, -5, 2, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10\/7 + 2\/7*l**2 + 12\/7*l = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001875 rounded to seven dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2019704 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**3 + 12*m**2 - 33*m + 12. Let b be (-370)\/(-30) - (15\/(-9) - -2). Let p(g) = -2*g + 1. Let f(y) = b*p(y) - a(y). Factor f(w).\nAnswer: 3*w*(w - 3)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.3 (c) 307 (d) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k*k**(-1)*k*k)\/k*k)\/k*k\/(k\/(k*k**10*k)))**(-33))**(-1\/3) assuming k is positive.\nAnswer: k**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 0*h - 72. Suppose -4*m + h + 44 = -2*j, -70 = -4*m - 3*j. What is the remainder when 37 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2530287 divided by -3?\nAnswer: -843429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asbbbbdaabob. Give prob of sequence bd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*n - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-9)*6\/4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132159\/29 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.11?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.228, 0.2, 218\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(204)*3)\/(-1*sqrt(192)*3)*-4.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-88)\/((1\/(-2))\/((-2)\/(-4))). Let b = h - 84. Solve -2 = -b*j + 2*j + 2*c, 0 = -5*j - 2*c + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 408\/805, -4, 5?\nAnswer: 408\/805","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-32797284)\/(-476) + -4*3\/(-84)?\nAnswer: 2, 47, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101990875?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from mcmmrmrmmmmrccmmmrcm?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212111020 - 2022?\nAnswer: -212120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddehhded. What is prob of sequence ee?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 c when three letters picked without replacement from {s: 1, r: 1, c: 4, d: 3, o: 2, w: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 110333423?\nAnswer: 110333424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 139 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24300 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 16*i**3 + 3*i**2 + 3*i + 3. Let u(q) = -112*q**3 - 20*q**2 - 20*q - 20. Determine -40*n(p) - 6*u(p).\nAnswer: 32*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -55\/2. Let f(h) = 10*h**2 + 5*h + 6. Let c be f(-1). What is the second smallest value in 1\/5, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/9, 2\/7, 5\/3, -0.4 in descending order.\nAnswer: 5\/3, 0.5, 2\/7, 2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + 0*s - 2*s)*(-2 + 1 - 1) + 320*s - 163*s - 159*s - 3 in the form u + x*s and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.1 plus 0.626?\nAnswer: 185.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**4\/24 + 4*n**3\/3 + n**2. Let i be o(-7). Solve -3*j = 3*t - 9, 5*t = 2*j + j - i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*u + 76. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1098*u**2 + u. Let z(i) = 1097*i**2 + 2*i + 1. Let p(c) = 4*q(c) - 3*z(c). Let b be p(-1). Round b to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2070 divided by 159204.\nAnswer: 345\/26534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2903491 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64472884 is divided by 2063.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 612db (base 16) to base 13\nAnswer: 10c239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 7*d + 11. Let s = 19 - 30. List the prime factors of z(s).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 10 = 3*i. Let l = 8 + -4. Suppose -5*f + d = -90, d + l*d = -f + i. Calculate the lowest common multiple of 8 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -347 - 661. Let s be ((-16)\/z)\/(2 - 57\/27). Solve s*k - 12 = -2*g, -4*k - k + 24 = 2*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5\/6 (b) -0.3 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3589 in 0.1, 3, 2\/17, 0.2, 34\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -8, -12, 0.1, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5586168 and 1476.\nAnswer: 16758504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 19*v**4 - 5*v**2 + 5*v + 15. Let a(u) = -20*u**4 + 4*u**2 - 4*u - 16. Let j(s) = 5*a(s) + 4*x(s). What is the derivative of j(n) wrt n?\nAnswer: -96*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h - 2. Let b be (9 - 11)*7\/(-2)*1. Let a(j) = -122*j - 124*j + 236*j - b. Give -2*a(t) + 7*u(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -5*b**4\/12 + b**3\/2 - 3*b**2. Let f be o(2). Let t = 24 + f. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*l + 5*l + 7*l to the form n + j*l and give j.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*w = 24, 2*q + 3*w + 7 = -9. Let r(s) be the first derivative of -s**4\/4 - 7*s**3\/3 - 3*s**2\/2 - 9*s + 4. Is r(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11734, 12552, 13374, 14200?\n\"Answer: 2*q**2 + 812*q + 10920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*2*6. Let u be (-4)\/(-6) - v\/(-9). Suppose -3*m + u*o = -5*o - 630, 2*m - 4*o - 420 = 0. What is m rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -24 - (1021 - 1006)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 15177.\nAnswer: -60708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 1, -5, 3\/22, 7, 48, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 f when three letters picked without replacement from fbfbffffffffbf.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1795.637nm to kilometers.\nAnswer: 0.000000001795637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(sqrt(176) - (0 + sqrt(176))*3 - (sqrt(55)\/(sqrt(5) + sqrt(45) + sqrt(5)) + 2)**2) + -3.\nAnswer: 1257\/25 + 528*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/(((-6)\/4)\/1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 65910?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1583*c - 23. Let t(a) = -6*a - 5. Calculate r(t(x)).\nAnswer: -9498*x - 7938","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*t = 4, -3*b + t - 2 = -b. Suppose 0*g - 3*g - 12 = 0, -5*r - 4*g - 6 = b. Factor 2 - 4*c**r - 3*c**2 - 5*c + 0*c.\nAnswer: -(c + 1)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 - 3 - 5)*((-2 + 5 - 1)*(3*r + 2*r - 3*r) + 4*r - 4*r + 5*r)*(-3*r - 9*r + 18*r) in the form c + d*r**2 + w*r and give d.\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d - 2*d + 0*d)*(-3 + 1 + 0)*(-13 + 38*d + 24 - 13) as v + q*d**2 + p*d and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*b - 94*b + 3*p = -114, 0 = 4*b + 3*p + 112 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(9\/7)\/(z*z**(-14)))**50 assuming z is positive.\nAnswer: z**(5000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -567092403*o**3*u**3 + 252*o**3*u**2 + 2*o**3*u + 4975*o**3 + o**2*u + 7*o**2 + 3 wrt u?\nAnswer: -3402554418*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + a + 125958 = 0, 17*v - 4*a = 12*v + 209916. What is the ten thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-128)\/224)\/(2\/(-56)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*j - 41326 - 35676 + 9388 = 1100*j for j.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, -13 in ascending order.\nAnswer: -15, -13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33.4896 kilograms?\nAnswer: 33489600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmwwmmmmwmmmmmwmm. What is prob of picking 2 m?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1331) - (sqrt(1331)*1 + 2))*4)**2 + -3.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546948.5cm to micrometers.\nAnswer: 5469485000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0027762412 rounded to five decimal places?\nAnswer: 0.00278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 2:26 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1, 14731\/4?\nAnswer: 14731\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15276620 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 16\/6)\/(20\/180). Let g be (6 + -3)*40\/3. Suppose 5*b + q*b = g. Solve 2*p - b*y + 21 = 4*p, p - 13 = -3*y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4\/9 - 21068*q**3\/9 - 42088*q**2\/3 + 84272*q + 505344 = 0 for q.\nAnswer: -10528, -6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-16)*y)\/y**(1\/32)*(y**(-8\/3))**(-12))**(2\/3) assuming y is positive.\nAnswer: y**(181\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 8 + 0)*(-2 + 1 + 2*j - j).\nAnswer: -8*j + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**21*c**(-12\/5)\/c*c*(c*c**(1\/4))**(-1\/11) assuming c is positive.\nAnswer: c**(4067\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1319304 and 552.\nAnswer: 30343992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -108.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**4\/24 + 5*l**3\/3 + 3*l + 52. Find z, given that r(z) = 0.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f. Let j(c) be the first derivative of 26*c**2 - 2*c + 495. Determine t(j(m)).\nAnswer: 104*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -22, -31, -38, -43, -46?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -10*l + 212. Suppose 3*i - l = -221. Let z = i + 57. Which is the nearest to 1\/3? (a) z (b) -3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 15 - (26 - (8 + 15))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - -21. Suppose 0 = 5*z + 11 - 56. Let j = z - -12. Calculate the remainder when m is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63*t**3 + 497 wrt t.\nAnswer: 189*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8156, -1, -11, -5 in decreasing order.\nAnswer: 8156, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 2. Which is the nearest to 0.1? (a) -2\/15 (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 23*a - 1. Does 4 divide t(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*d**2 - 580*d**2 + 158*d**2 + 168*d**2 + 156*d**2.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1729, 1720, 1709, 1696, 1681, 1664?\nAnswer: 1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7 from 21.546494733.\nAnswer: 28.546494733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(108) + -2*sqrt(108) + sqrt(108) - sqrt(108)))\/(sqrt(48)*1))\/((sqrt(21)\/(2*sqrt(7)) - sqrt(300)*-1)*5).\nAnswer: -2*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101212 - -11?\nAnswer: -1101201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -721*v = -n - 724*v + 9, 9 = 3*v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1865, -1693, -1521, -1349, -1177?\nAnswer: -1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 c when three letters picked without replacement from {c: 5, b: 4, q: 1, w: 1}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 21*r**2 + 20*r + 18. Let c = 14 - 9. Suppose 4*m + 85 = c. Calculate the remainder when x(m) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32.06 + 0.44. Round n to zero decimal places.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + (-9)\/4)\/(1\/(-4)). Let n = 52 - p. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01111 to four decimal places.\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h = 84*h + 969 - 225 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 35*v + 25 = 44*v, -3*c - 11*v - 70 = -13*v for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 15. Suppose -g*n + 7 = -18. Let k(u) = -u**3 - 4*u**2 + 5*u + 1. Let r be k(-5). Which is the nearest to r? (a) -5 (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*z. Suppose -j + 5*s = z, 3*s = -2*j - 1 + 14. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 at least -672542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + ((0 + sqrt(2057) - sqrt(2057))**2*-5 - (-3 + sqrt(2057))*-1).\nAnswer: -4 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-27) - 50\/45 - -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + -3 + sqrt(475))**2 + 0.\nAnswer: -60*sqrt(19) + 1909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1831847.\nAnswer: 19, 67, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -103*(-1 + 0)*2. Let i = d - 129. Suppose -6*c = 10*c - 256. What is the remainder when i is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = 3*a. Let g = -12.07 - -13.07. What is the nearest to g in -2, a, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bcc (base 16) to base 12.\nAnswer: -18b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g - 169*g - 41*g = -31504. Calculate the remainder when 733 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, -2, 4243, 1, -1 in descending order.\nAnswer: 4243, 71, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 2*q**3\/3 - 3*q - 2. Differentiate x(s) with respect to s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*f - 30*f + 74 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 3*r + 3*r + (0 - 3 + 5)*(-r - 2*r + r))*(6*r**3 - 650 + 650).\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**7\/280 - x**6\/80 + x**5\/80 + 5*x**2\/2 - 6*x. Let l(r) be the first derivative of c(r). Suppose l(k) = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**5 + 3186*h**4 - 849063*h**3 + 1688580*h**2 - 842700*h.\nAnswer: -3*h*(h - 530)**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/116 and 49\/17168.\nAnswer: 17168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n + 1. Let j(f) = 6*f - 3. Give 7*a(i) + 3*j(i).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 4 + 8 + 13 + 12.\nAnswer: u + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -4888.\nAnswer: 14664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -3*c**4\/4 - 5*c**3 + 18*c - 1. Let l(p) = p**2 - 1. Suppose -91*v + 74*v + 154 = 137*v. What is v*b(h) + 18*l(h)?\nAnswer: -3*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2. Let j(u) be the first derivative of -u**4\/12 - 5*u**2\/2 + 4. Let b(z) be the second derivative of j(z). Give b(p(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*u - 638 = 81*u. Solve -5*h + 9 - u = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -246, -249, -252, -255, -258, -261?\n\"Answer: -3*a - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 2*p**2 + p. Let i(j) = 9*j**2 + 2*j + 60. Let o(q) = i(q) - 2*u(q). Differentiate o(v) with respect to v.\nAnswer: 6*v**2 + 26*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -26*t**3\/3 - 129*t**2\/2 + 6*t - 12. Let v be i(-6). Sort 1, 2, v.\nAnswer: 1, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**6\/40 + c**5\/60 + 10*c**2. What is m(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**4*r - 18*d**3*r*w**2 + 6*d**3*r - d**2 + 2*d*r - 2*r*w**2 - 63*w**2 wrt d?\nAnswer: 48*d*r - 108*r*w**2 + 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10773 is divided by 102.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -1, -3, 0, -240, 3 in decreasing order.\nAnswer: 71, 3, 0, -1, -3, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 6 (b) 4 (c) 23.1634\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 7*k**2 - 5*k - 4. Let x be l(-7). Let s = 169 - x. Suppose 3*h + 3 = 0, -2*r + s + 191 = -3*h. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 - 2*f**2 + f**2 + 2*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a9b - -2?\nAnswer: -3a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - -2. Suppose 0 = 53*u - 44*u - 729. What is the remainder when u is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5715 - 5364. Calculate the least common multiple of 297 and g.\nAnswer: 3861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 31382822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 3*p - 3. Let g(d) = 4*d**2 + 3*d - 19. Let v(r) = g(r) - 5*m(r). Calculate v(19).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79605*q**2*v**3 + 176601*q**2*v + 2*v**2 wrt v.\nAnswer: 477630*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 4, l: 3, a: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/sqrt(196) + ((sqrt(192)*1 + sqrt(192))\/sqrt(12) - sqrt(16)))\/(sqrt(200) + -4*sqrt(200) - sqrt(8) - sqrt(64)\/(sqrt(8) + -4*sqrt(8))).\nAnswer: -24*sqrt(2)\/329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) -2\/269 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 227164 and 25498?\nAnswer: 2498804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**8\/10080 + b**7\/1260 - b**6\/540 - b**4\/4 - b**2. Let v(t) be the second derivative of k(t). Let v(w) = 0. What is w?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14343457.\nAnswer: 37, 107, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 53433465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*y - 4388*y - 2101*y.\nAnswer: -6559*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*p - 261 - 87 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*l**2 + 535451*l - 2*l**4 + 535343*l - 1071042*l to the form z*l + c*l**4 + b*l**3 + d*l**2 + w and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.729992 years?\nAnswer: 8.759904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvjs when four letters picked without replacement from ejsevve?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1523 is divided by 109.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -324, -673, -1102, -1611, -2200?\n\"Answer: -40*u**2 - 229*u - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 190*m**3 + 20*m**2 + m - m - 2*m**6 - 177*m**3 wrt m?\nAnswer: -240*m**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.391 + -11.491. What is the nearest to 4\/7 in 4\/5, -3, j, -1\/43?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -3 in descending order.\nAnswer: 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102 - -182. Calculate the greatest common divisor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-9)\/15 + (-256)\/(-10) + 8 and 144.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13309 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*k**2 - 12*k**4 - 333570*k - 2*k**3 + 333580*k - 5*k**2 - 3 + 8*k**5 wrt k.\nAnswer: 160*k**3 - 144*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2, -6*i + i + 1802 = 2*s. What is the highest common divisor of 45 and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-48)*(-2)\/(-1))\/((-20)\/(-270))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1570)\/(-2355) - (62\/12 - 1).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/27*(-6)\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 661\nAnswer: -3305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, l: 3, y: 8, a: 1, b: 1, n: 5}. What is prob of picking 3 l and 1 y?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8*t**2)\/((t*t**(-2\/25))\/(t*t**(-1\/5)*t*t)) assuming t is positive.\nAnswer: t**(297\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -120121 (base 3) in base 12?\nAnswer: -2b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -466 - -561. Calculate the greatest common factor of 38 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 32 - 4*w + 8*w)*(-1 + 1 + 1).\nAnswer: 4*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-125)\/375*(-1)\/2*9\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932102\/89 less than 21710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 16*f**2 - 198*f + 358. Let l(w) = -w - 8. What is l(j(g))?\nAnswer: -16*g**2 + 198*g - 366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82766 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) -385 (c) -148\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/744*(-819)\/(-645). Let o = x + 2\/215. Let s = o - 67\/310. Sort -3\/11, -3, s in descending order.\nAnswer: s, -3\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1123 - -214?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3\/3)\/(-1) - (-12)\/3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2))**(-10\/7))**(3\/17)\/((b**(-2\/9))**29)**(-5) assuming b is positive.\nAnswer: b**(-33970\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 245, 0, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2487.9 rounded to the nearest 10?\nAnswer: -2490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (31 + -1)\/2 + 4\/2. Is u < 33\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 944*f - 168 + 1463 = 907*f. What is the biggest value in -5\/3, f, 2\/3, -9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than -2\/1297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 68*x**2 + 49*x - 14. Give o(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 5*u**2 - u + 4. Let t = -627 + 623. Determine b(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/7, -2\/3, -7, -197024?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(sqrt(11) + sqrt(11)*3) + (sqrt(1920) + sqrt(1920)*3 - sqrt(1920)) + sqrt(1920))\/(4*(-1*sqrt(24) + sqrt(6) - sqrt(6))*6).\nAnswer: -43*sqrt(5)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Suppose 4*i = 40 - w. Calculate the remainder when i is divided by 13 + -6 - (2 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence weep when four letters picked without replacement from weeeeewewpeew.\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -19. Which is greater: q or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -30.97. Which is the third smallest value? (a) 1 (b) -4 (c) k (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 112\/35 + 2\/(-10). Suppose 2*w = 4*a - 3*w - 49, f*w = -5*a + 15. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 890 + -889.372. Let i = -0.128 + x. Which is the closest to 1\/4? (a) i (b) 2\/5 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59763036 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-264)\/4114 - 4\/34. Let o = 7 + -2. Let v be 1 - (-1)\/(-5)*2. Which is the nearest to 2\/3? (a) j (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*u - 2, 5*u - u - 10 = 3*f. Let w(r) = 3*r**2 - 3*r**f + r**2. Let t(l) be the third derivative of -l**4\/12 - 42*l**2. Determine w(t(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -1009 in increasing order.\nAnswer: -1009, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, 2, -10 in ascending order.\nAnswer: -10, 2, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/(-1))\/3)\/(-3).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 22?\nAnswer: 39\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - 4*p - 6*p + (-2*p + 5*p - 2*p)*(0 + 0 - 1) - 6*p - p + 2*p - 2*p - 8*p - 2*p.\nAnswer: -27*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in -1, -2\/7, 0.2, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {t: 1, b: 1, c: 1, o: 1, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26768 + 26770 - 4*t + 6*t + 5*t**4 + 39*t**3 to u + l*t**4 + a*t**2 + h*t + j*t**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 10. Let q(v) = v**3 - 10*v**2 + 2*v + 3. Let a be q(10). Let n = 33 - a. Calculate the remainder when p is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1150)\/7475 - (-160)\/26?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w + 3*w - 5*w + (2*w + 1 - 1)*(-2 + 2 - 1) - 7*w - 143*w + 104*w - 117*w.\nAnswer: -167*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/59072 and -51\/1354964.\nAnswer: 21679424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 7*i - 2. Let r be 1*27\/7 + 1\/7. Suppose -1 = u + 2*m, 4*u = 3*m + 25 + r. Suppose 2*c + u*h = 0, -4*h + 9*h + 25 = 3*c. Determine x(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (21\/(-12) + 4)*48\/9. Suppose -1494 - 30 = -p*n. List the prime factors of n.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 10*s + 3. Let h be p(-10). Suppose -h*m + 4*o + 18897 = 0, -2*m + 5*o + 3096 = -9502. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9 + 3735087?\nAnswer: 3735090.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**2. Let s(c) = -118*c**2 + 3*c + 1. Determine s(v(w)).\nAnswer: -1888*w**4 - 12*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19391 is divided by 33.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-624))\/((-86)\/(-387)). Let j = p - 187\/1456. Put j, 5, 7 in decreasing order.\nAnswer: 7, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 38. Let g = 41 - y. Suppose g*r = -3*r + 3*r. Solve -b - 5 = -r*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10806212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125902 and 16238?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-8)\/3*(-54)\/8 and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 14) to base 7\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**4\/3 - 4876*y**3\/3 - 388552*y**2 - 17722496*y\/3 - 69658112\/3 = 0.\nAnswer: -901, -302, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 124.411 + -137.3892. Let w = -55 + 68. Let g = w + d. What is g rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16711 + 16710.6. What is the third biggest value in -1\/2, 10, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 = -0*t. Let q(x) be the third derivative of x**5\/60 - x**4\/12 + x**3\/3 + 15*x**2. Let v be q(t). Solve 2*u + 1 = -3*m + 6, u - v = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 3*j + 13. Let w = j - -27. Calculate the greatest common factor of w and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7065*l + 14591 = 650441 for l.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -5. Suppose r*d + 1195 = 8*d. Suppose d = 4*f - 101. What is the highest common factor of f and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553230496 to the power of 1\/4, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 673*w**2 - 2004*w**2 + 665*w**2 + 663*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -42. Let r(b) = 5*b - 1. Determine r(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17948810 + 72\nAnswer: 17948882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*6*2\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.26102 - -0.12898. Which is bigger: -121 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7, -22, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -287201771 from 0.0206.\nAnswer: 287201771.0206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/3 - (-4)\/(-6). Let z(n) = -5*n - 8. What is the tens digit of z(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -10*q. Let a(f) = 6*f + 15. Let o(x) = -10*x + 26. Let s be o(3). Let u(w) = -w - 4. Let g(z) = s*a(z) - 15*u(z). Determine c(g(i)).\nAnswer: 90*i","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - h)*(-h + 5*h - 2*h) + (0*h + 2*h + 0*h)*(-3 + 5*h + 3).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.3. Let d = 1561 - 1566. Which is the closest to p? (a) d (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwwm when four letters picked without replacement from mwnnrrrrmmmrrrnnmr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 4*w = -3*s + 2, -w + 10 = 4*s. Suppose 4*i - 2*i = 6, -i - 3 = -3*z. Suppose -z*x = x - 6. Calculate the remainder when s is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1796 = -4*y, -7*y + 2*y + 4*l + 2214 = 0. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 4*h + 4 - 24, 0 = -4*z - 2*h - 14. Let x be ((-1)\/6 + (-32)\/960)\/(-1). Which is the nearest to x? (a) 0.01 (b) z (c) 4\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**2*o*s**3 + g**2*s - g*i*o*s + 4*g*i*o - 2*g*i*s**2 - g*s**3 + 17*i*o*s**3 + 5*s**2 wrt s?\nAnswer: 12*g**2*o - 6*g + 102*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -340 (base 6) to base 14\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 27 = 2*o, -25 = -5*o - 6*n + 2*n. Suppose -y = -o - 4. Suppose 16 = -y*g + 56. Solve g = 2*w + 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 5:19 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2)*(-157)\/314\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141*p**4 + 912*p.\nAnswer: -1692*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 4*l - 0*l + 6, 0 = 5*l + 15. Suppose g*q + 1 = 7. Suppose 0 = -2*r - 2*t + 126, q*r - 246 = -r + 2*t. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239057057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895.\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6002706.\nAnswer: 2, 3, 563, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 - -65. Let p = -1 + 3. Let k = g + p. Which is the second smallest value? (a) -0.2 (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/110 and 27\/1001684.\nAnswer: 55092620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + k**2 - 4*k + 1. Let i be l(-4). Suppose -836 = 2*v - 1036. Let f = i + v. List the prime factors of f.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 709*y**3 - 17114*y**2 - 3*y - 1500825?\nAnswer: 4254*y - 34228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 10:55 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 0 - 19\/6*g**4 + 1\/5*g**5 + 9*g**2 + 8\/3*g**3 + 289*g. Solve n(s) = 0.\nAnswer: -1\/2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**2 + 4*i + 7. Let f(b) = 5*b**2 - 3*b - 6. Let m = -519 + 515. What is m*f(d) - 3*r(d)?\nAnswer: -5*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 - 3*d**2 - 3*d + 11. What is z(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/9518 and 11\/12?\nAnswer: 57108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5 - 419*y**4 + 1266*y**3 - 4*y**2 - 1688*y = 0 for y.\nAnswer: -422, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -82, 2 in increasing order.\nAnswer: -82, -57, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(12\/(-126)*-7*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 4125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 + o**3 + 1 - 1 - 7*o**4 + 2 + 72*o**2 + 4*o**4 as x*o**2 + b*o**4 + g*o**3 + u*o + d and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 221\/2 - 109. Let p = 0 - 0.1. What is the nearest to a in p, -5, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -204455.2 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**4 + 2*q**4 + 3*q**5 + (q - 4*q**3 - q)*(42*q - q**2 - 42*q) - 9 + 7*q**5 + 9.\nAnswer: 14*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/81 and 65\/36.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z**(-7\/2)))\/z)\/(z*(z*(z*z**(2\/7)*z*z)\/z*z)\/z)*(z**0\/z)**(-4\/5) assuming z is positive.\nAnswer: z**(1\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*k - 31*k - 100. What is the greatest common factor of k and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -323*b**2 + 2*b + 1 wrt b.\nAnswer: -646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 - 2*l**2 - 9*l - 40. Let g(v) = -v**3 - v**2 - 4*v - 20. Let w(b) = 11*g(b) - 6*j(b). Let u be w(-17). Is 14 a factor of u\/(-49) + 12\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1974 by -329.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1000000000000010110?\nAnswer: -1000000000000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-4 - -5)*1. Let v be 28\/(-7) - l*8. Solve 0 = 5*a + 3*o - 27, 0*a - v = -4*a - 2*o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*l*o**2 - 13*l*o - 5727*l + 6*o**2 - 3*o wrt o?\nAnswer: 14*l*o - 13*l + 12*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4.6 (b) 0.2 (c) 9 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {b: 4, a: 4, o: 9}.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 - 1883*b**2\/4 + 1881*b\/2.\nAnswer: b*(b - 1881)*(b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73 * 5.\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*b = 4*b - 4, 5*w = b + 25. Let v be (w - (-3 - -4))*1. Let x(q) = 9*q - 2. Let p(d) = 5*d - 1. Let z(y) = v*p(y) - 2*x(y). What is z(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150268 is divided by 128.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118732.5972 milliseconds to weeks.\nAnswer: 0.000196317125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(76)\/sqrt(4) + -3)**2 - (sqrt(19) - (sqrt(38)\/(sqrt(24)\/sqrt(12)) - sqrt(19))).\nAnswer: -6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/9)*v*v*v*v*v*v\/(v**6*v)*v)**3 assuming v is positive.\nAnswer: v**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 3*r**2 - 5*r - 1. Let p be s(-4). Suppose -2*t + 17 = -p*x, t - 4*t + 3*x = -18. Are t and 17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12004527361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -190034 divided by 3?\nAnswer: -190034\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 - 2*i**3 + 0*i**3)*(-53 + 4 - 43 + (-5 + 4 - 1)*(-1 + 0 + 0) + 4 - 4 - 1 + 1 + 1 + 0).\nAnswer: -89*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -64 + -44 + 109 - (22 + 0)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 3*x + 5*b = -2500, 0 = -3*x - 3*b + 1494. List the prime factors of x.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -2)\/(3\/71). Let g = 1637\/69 + a. Let k = -3 + 2. Which is greater: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17840 + 17839.4. Sort 0.5, -15, -0.3, -5, q.\nAnswer: -15, -5, q, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/75 and 67\/105?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206527 smaller than 1206536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-7) - (-2)\/(-7). Let t be 1 - (3 - (p - 12)). Let o(w) = -w - 1. What are the prime factors of o(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25155 + 37124. What are the prime factors of q?\nAnswer: 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 83256, 166517, 249776, 333033, 416288, 499541, 582792?\n\"Answer: -x**2 + 83264*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 436\/1199 - (-2 - (-1305)\/(-11)). Solve 96 = 89*t - k*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, 4, 15, 32, 55, 84?\n\"Answer: 3*c**2 - 4*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2132.1833*8\nAnswer: -17057.4664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 805879 is divided by 177.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdddedddddddsddesesd. Give prob of picking 1 e and 1 d.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01956 to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1608*k - 30548 = 35879 + 15157 + 3640 for k.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-94)\/(-4)*(2 + -4). Let o = 54 + r. Calculate the common denominator of -53\/4 and 1\/o*(4690\/12)\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -58, 3, -0.06.\nAnswer: -58, -0.3, -0.06, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -3, 5 in decreasing order.\nAnswer: 6, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 850631114 a multiple of 718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*h - 8012*h**2 - 52*h + 7964*h**2 as q*h**2 + d + j*h and give j.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/17)\/x)\/(x**(-2\/9)*x)*(x**(-12)\/x)**(-10\/17) assuming x is positive.\nAnswer: x**(889\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -23*m**2\/2 - 2*m + 7. What is the tens digit of i(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4))\/((-1)\/(-34)). Suppose o = 5*f - 3. Is f equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 6. Suppose -3*t + 40 = -4*k, 0*t + 2*k + 24 = o*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.2 and 1307.233618555.\nAnswer: 1310.433618555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 709617?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/(16\/(-12)). Let t = -20.7 + 27. Let y = -1.3 + t. What is the second smallest value in y, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 490 and 637?\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i - 236 + 92 + 116.\nAnswer: 13*i - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 13079*n - 117789. Give q(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**8\/2520 - w**7\/420 - w**6\/180 - w**5\/180 + w**3 + 4. Let q(o) be the third derivative of h(o). Factor q(z).\nAnswer: -2*z*(z + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.9 - -29.9000572. What is m rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.380234ml in litres?\nAnswer: 0.008380234","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 l when three letters picked without replacement from eeleleee.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-110))\/((-330)\/(-550)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 18, b: 1}. What is prob of sequence cc?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -165*j**3 - 36*j**2 + 6*j - 578.\nAnswer: -990*j - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 18}. Give prob of picking 2 h.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-2))\/(3\/6). Suppose 5*s - x = -j, -2*s + 16 = -2*j + 2. Suppose 0 = -s*g - g + 36. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15)\/10*(-236)\/3?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66377959?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 422.3083g?\nAnswer: 422308.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57 or -5787553?\nAnswer: -5787553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 34*d**3 + 33*d**2 + 9*d - 22. Let p be v(4). Is 2720 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 168 + -79. Let w = 53 - r. Let o = w - -97. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4 = o, 3*p - 2 = 2*o - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 2\/5, 2.19, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*x + 16*x - x**2 + (2*x - 1 + 1)*(x - x + 2*x) - 4*x**2 + 3*x**2 + 3*x**2 + 188 - 188 - 24*x**2 as j*x**2 + y*x + s and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/7 + 22*x**4\/7 - 156*x**3\/7 + 486*x**2\/7 - 675*x\/7 + 324\/7.\nAnswer: -(x - 12)*(x - 3)**3*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 50603, 101206, 151809, 202412, 253015, 303618?\n\"Answer: 50603*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 205*y - 660.\nAnswer: 5*(y - 44)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1226714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 250108\/14 - (-16)\/112. Suppose -5*m + 2*t + 29789 = 0, -3*m = -11*t + 7*t - h. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*f + 22. Let k be ((-33)\/f)\/(48\/20). Let q = k + -5\/4. Put -2, q, 0.3 in ascending order.\nAnswer: -2, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1635501.\nAnswer: 3, 7, 19, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 12) in base 5?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88572.33 kilograms to milligrams.\nAnswer: 88572330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 5*l**2 - 7*l - 6. Let x be o(-6). Suppose 0 = -88*t + 203 + 325. Is 44 + x - 6\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from ahrtatzy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 54777002, 219107994, 492992988, 876431990, 1369425006, 1971972042, 2684073104, 3505728198?\n\"Answer: z**3 + 54776995*z**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 - -82.9. Let u = l - 10.7238. What is u rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 n when three letters picked without replacement from {v: 3, n: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**4 - 200*h**3 = 0.\nAnswer: 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 27*d + 5. Is x(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 473 = t. Let u = t - 40. Suppose 2*j + 109 = u*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-5)*k)\/k**(-2\/7))\/k**(-1\/16))\/(k**(-5))**(-1\/40) assuming k is positive.\nAnswer: k**(-423\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-1))*m)**(-36)\/(m**(-3\/8)*m**(2\/11)) assuming m is positive.\nAnswer: m**(17\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43101063 a multiple of 1512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117603 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2999 by 135.\nAnswer: -2999\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**6\/120 - s**5\/20 - s**4\/12 + s**3\/2 - 51*s**2. Give m(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2*c - c)*(-c + c - c) + 2*c + 5*c**2 - 2*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -5, -1, -6 in ascending order.\nAnswer: -6, -5, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 11 + (-143 - -144) + 3 + 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -3, 133, -1, -2, -13.\nAnswer: -13, -3, -2, -1, 65, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/9 + 6\/(-27). Let g be -1*(l - (-1 + 3)). Suppose 2*k = g*y + 122, -61 = -3*k + 2*k - 2*y. Round k to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 16, -5, -653 in decreasing order.\nAnswer: 16, -5, -62, -653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*d - 4, 112*d = 111*d + 2. Suppose 769 = -i*l + 4747. Is l a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/240 and 131\/10632?\nAnswer: 106320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (0 - 0 - (166 - 162))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395786 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/40 + (-8)\/(-20). Which is the nearest to 1? (a) -0.4 (b) -17 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 333 - 222. What is the first derivative of -36 - 26 - 12 + 33*o + y wrt o?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/7495218 and 109\/48?\nAnswer: 59961744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 4*r**2 + 6*r - 3. Let z be d(-6). Suppose -12*k + 4*k + 64 = 0. Suppose u - z - k = 0. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 0 + 2 + 3 - 3 + (-2 + 4 - 4)*(-2 - 3 + 4))*(66 + 33*g - 66) in the form x*g + s and give x.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -80726.6 to the nearest one hundred.\nAnswer: -80700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 140651893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -375476*g**3 + 2*g**2 - 16*g + 31579050 wrt g.\nAnswer: -1126428*g**2 + 4*g - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -9*h + 5*h + 32. Let l(j) = -8*j**3 + 13*j**2 - 8*j + 2. Let b(w) = -4*w**3 + 7*w**2 - 4*w + 1. What is h*l(i) - 7*b(i)?\nAnswer: -4*i**3 + 3*i**2 - 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 266835996 = -h, 400253996 = -34*u + 31*u - h. What is u rounded to the nearest 1000000?\nAnswer: -133000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 15 = -3*y, 0*c = -3*c - 8 - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/35)\/(3\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*((sqrt(6) + -1*sqrt(6))*-4)\/(sqrt(3) + (sqrt(3) - sqrt(300)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14709*x - o = -14711*x + 29, 3*o = 9 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 86?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1512\/(-1296))\/(6*2\/(-16))*(-2)\/(-4)\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533.59 litres to millilitres.\nAnswer: 533590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2 = 2*t. Let q(o) = -3*o**2 + 4. Let n(b) = -1. Let y(l) = t*q(l) - 2*n(l). What is the first derivative of y(s) wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 57.43280434336\nAnswer: -57.63280434336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/24*-3 - 57\/(-12). Let r(o) = o**3 - 6*o**2 + 6*o - 4. Give r(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6676*t**3 + 12 + 6670*t**3 + 0*t + 9*t. Calculate the remainder when 152 is divided by o(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114759002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1197297, -2394590, -3591879, -4789164, -5986445, -7183722?\n\"Answer: 2*k**2 - 1197299*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**6\/120 - y**5\/60 - 2*y**3 - 4*y**2. Calculate z(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4650 and 9858.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 88\nAnswer: -5\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 7*p**2 - p - 3. Let b be g(-7). Solve -2*u = 2*z - 4*u - b, 14 = 3*z - 5*u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 781043831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*l**2 - 23*l**2 + 177*l**2 - 9*l**2 - 28*l**2.\nAnswer: 76*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 12 = 4*a - 0*a, -2*v - 2 = 0. Calculate the lowest common multiple of 18\/((-3 - 0) + 5) and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(5\/4)*f**(-4)*f)\/(f**(4\/9)*f**(-10)))**(-43) assuming f is positive.\nAnswer: f**(-12083\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*(-5 + sqrt(75)*4 - (-2 + (sqrt(75) - sqrt(75)*-1))))**2)*1.\nAnswer: -240*sqrt(3) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 802831 - 435278. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12 - 0.11157529838.\nAnswer: -0.23157529838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2*r + 2 = 0, -3*r = -5*j + r - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.6 - 1.4. What is the biggest value in -1\/5, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 79*c**5\/60 - 11*c**2 - 13*c. Let p(b) = -5*b. What is a(p(q))?\nAnswer: 1975*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*(c*c**(-1\/6)*c)\/c*c)\/c*c*c**(-10))\/(c**1)**(6\/5) assuming c is positive.\nAnswer: c**(-221\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*q**3 + 75*q**3 + 5025*q**2 + 31*q - 2 - 5024*q**2)*(5 - 2 - 1) to l*q + n*q**3 + b*q**2 + x and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28856965, 115427853, 259712667, 461711407?\n\"Answer: 28856963*n**2 - n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + 0 + (sqrt(7) + 5 + sqrt(7)*1)*-6 + 2 + 0).\nAnswer: -60*sqrt(7) - 155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18 + -23 - -81) + 0 + -4. Suppose -5*k + 43 = -5*z - 82, -34 = 2*z + 2*k. Let d be -12*(z\/12 + 1). Calculate the greatest common factor of d and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-8)*34 + 0. Suppose 11*j = n*j - 504. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*o + 5*t, 0 = 4*o - 14*t + 10*t - 8. What is the nearest to -3 in 1\/7, -2\/5, o?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**2 + 1545480*p - 1545480*p + 433 + 11*p**2 - 18*p**2.\nAnswer: 2*p**2 + 433","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 3*o**2 - 2*o**2)*(2*o**3 + o**3 - 2*o**3) - 2*o**5 + 4*o**5 + 0*o**5 + (-15*o**4 + 2*o**4 + 3*o**4)*(3 - 3 - 1)*(0*o - 2*o + 3*o).\nAnswer: 16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-4 + 2 + 4)*(158*q - 158*q - 17*q**5) + (q - q - q**3)*(2*q**2 + 1 - 1) - 2*q**4 + 2*q**4 - 2*q**5.\nAnswer: 30*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6 - 6 - 3*m**2. Let t(g) = -4 + 4*g**2 - g**2 + 4. Give t(s(a)).\nAnswer: 27*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 6 - 882\/168. Which is the biggest value? (a) -4 (b) l (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*j - 33, 2*j + 9 = v + 2. What is the remainder when 59 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 1. Suppose 5*x = -3*g - g - 41, 2*x + d = -2*g. Is x smaller than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 439, 5\/3, 0.5, 5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 25*q**2 - 120*q - 112. Calculate l(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3873648.\nAnswer: 2, 3, 80701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/270)\/((-8)\/6). Let m(o) be the second derivative of 2\/5*o**2 - 5*o + 1\/5*o**3 + 0 + r*o**4. What is x in m(x) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1312798 + 1583234527\/1206. Find the common denominator of 52\/335 and i.\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90891583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -231856 or -231857?\nAnswer: -231856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144209?\nAnswer: 13, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 2*f - 6*f)*(-3*f + 4*f + 3*f)*(-1 + 2 + 0)*(2*f**3 + 3*f**3 - 4*f**3).\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 286\/304209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0 (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66165 is divided by 5071.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 985664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.9357115.\nAnswer: 0.9357115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15\/((-225)\/40)*6\/(-4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r - 2*r + 5*r + r**3 to the form d*r**3 + q + o*r + m*r**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6372*k**2 + 11*k - 83. Let m be v(-19). Round m to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585.7068ml to litres.\nAnswer: 0.5857068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkg when three letters picked without replacement from rkgzrzzkgbrbke.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2041019720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 6 - x + 14 + 30.\nAnswer: -x + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 10*h**2 - 9*h. Let o be b(9). Let v = 9 - o. Let i = -3 + v. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 + 1. Let i(t) = 6*t + 17. Let v(z) = -z - 3. Let j(y) = -6*i(y) - 34*v(y). Determine j(n(r)).\nAnswer: 4*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 123303244?\nAnswer: 123303303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -113497*a**3 - 521493*a**2.\nAnswer: -680982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2578*m + 3. Let i be b(3). Suppose 12*p = 22779 + i. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3328 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1894178 and -6577392.6.\nAnswer: -6577392.7894178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 4:04 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -11 + 4 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0494943km in micrometers?\nAnswer: 49494300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**3 + 3 - 3 + (2*j**2 - j**2 - 2*j**2)*(-4*j + 0*j + 3*j) to the form k*j**2 + i*j**3 + z + x*j and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide ((-310)\/(-40))\/(6\/72 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*n**2 + 0*n**2 + 59*n**2 - 373*n**2.\nAnswer: -552*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48415 or 48413?\nAnswer: 48415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**5\/3 + 28*x**4\/3 + 5*x**3\/3 - 100*x**2\/3 + 27*x - 6 = 0 for x.\nAnswer: -6, -3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 4988 = -90*t + 259 for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 534*v - 3. Let t(c) = -1069*c + 7. Give 7*b(g) + 3*t(g).\nAnswer: 531*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -686.7 - -659. Let j = -28 - v. What is the nearest to j in -3, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c6c (base 14) to base 16.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.36149nm to micrometers.\nAnswer: 0.07736149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-84)\/(-39) - (-2)\/(-13). Let n be (3 - l)\/(5\/25). Solve 4*c - n = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 50 = 31*d - 138 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-8)*40\/(-35)*150\/9.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 16*p + 12. Let y be 0 - 0 - (4 + -6). Let o(j) = 6*j**2 + 79*j - 59. Let q(v) = y*o(v) + 11*m(v). List the prime factors of q(-8).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2, 2\/13, 0.1, -1\/213.\nAnswer: -3\/4, -1\/213, 0.1, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/8 + (-30)\/(-864)*44.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z + 23. What is the remainder when 78 is divided by r(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1433976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**0*y)*(y*y**(-2))\/y)\/(y**(-1\/10)*y**2) assuming y is positive.\nAnswer: y**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 4. Let g be v(-3). Suppose 0 = g*b - 20 - 0. Find f such that 1\/2*f**b + 0*f + 0*f**2 + 1\/2*f**3 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 208.8 + -208.5. Put -2\/9, -2, -0.2, k in ascending order.\nAnswer: -2, -2\/9, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3553 or 2\/148861?\nAnswer: 2\/148861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 712165136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**8\/12960 - g**7\/1260 + g**6\/360 + 8*g**5\/15 - 35*g**2. Let c(y) be the third derivative of x(y). Solve c(t) = 0 for t.\nAnswer: -3, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1621989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 640 and 974048.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two sevenths of a week in days?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.091 - 0.009. Let f = -19 - -19. Let h = -5 - f. What is the nearest to 2\/7 in u, 1\/3, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**5\/30 - 274*g**2. Let z(i) = -6*i**2 + 6*i**2 + 7*i**2. What is x(z(d))?\nAnswer: 98*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = -5*w + 501. Suppose -w = -5*s + 14. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.68051 millennia to years.\nAnswer: 87680.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 4)*46\/4. Suppose 6 - m = -c. Suppose -c + 18 = l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**5 + 100*d**4 - 405*d**3 - 2050*d**2 + 12500*d - 15000 = 0 for d.\nAnswer: -5, 2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*u - 20 = 0, 6 + 14 = -4*u. Let i be 1*(5 + 25\/f). Suppose -6*o - 39 + 159 = i. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 6*l - 104. Let p(n) = -n**2 + 7*n + 81. Let t be p(-6). Find c such that -9\/4*c - 5\/4*c**t + 1\/2 + 13\/4*c**2 + 1\/2*c**l - 3\/4*c**4 = 0.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**4 - d**3 + 227960*d**2 + 72111*d wrt d?\nAnswer: 12*d**2 - 6*d + 455920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 2 = -8*p. Suppose p*i - 9 = -i. Let s(c) = -c**3 + 1. Let x be s(-1). Solve i*m + x = 4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 21 - 10 - g + 19 + 10.\nAnswer: -g + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 558*n + 1019. Is p(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8855910?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4 + sqrt(832))**2 + 1)*6.\nAnswer: -384*sqrt(13) + 5100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 4\/237?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 1:33 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27659 - 27658.99. What is the nearest to 2 in l, -1, 0.1, -5\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**3\/7 - 91635*m**2 - 24371661*m\/7 - 231520491\/7 = 0?\nAnswer: -213777, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(18\/12*(-8)\/(-36)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -13*h**3 + 17*h**2 - 16*h - 9. Let x be r(-4). Is 1159 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -123 + 40 + 4*b - 21*b + 43 + 49. Let z(k) = -8*k + 4. Suppose 92 - 23 = -5*p - 2*c, -2*p = 3*c + 32. What is p*z(a) + 6*i(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 12, 0 = -6*h + h - 2*q + 253. Let w = h - 45. Suppose 0 = 7*j - w*j - 102. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 1:11 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 + 64. Let d = x - 128. Let s = 2\/97 + 89\/388. What is the third smallest value in -0.5, 8, s, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*r = 338*r - 72 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.03 and -1589699236.\nAnswer: -1589699236.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 731 - 2*r + 4*r + 4633 to the form z*r + h and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7895, 9475, 12121, 15839, 20635?\n\"Answer: a**3 + 527*a**2 - 8*a + 7375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12107 is divided by 113.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + s = -0*b - 11, -5*s - 15 = -5*b. Suppose b*g = g + z - 138, 4*g = -2*z - 528. Calculate the remainder when 32 is divided by g\/(-8) - (-2)\/8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386105633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**5 - 14*h**5 - 4*h**5)*(-2 - 4 - 7 - 1 + 4 - 1 + (1 - 1 + 1)*(-1 + 4 - 5) + 0 + 0 + 1 + 2 + 0 - 1) + 2*h**5 + h**3 - h**3.\nAnswer: 178*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -409, -0.3, -2\/3?\nAnswer: -409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -11, -1\/14, 0.7, 2\/9?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 315.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 + 63977*p**2 + 1 - 63977*p**2.\nAnswer: -p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/6, -9, -0.1, -0.5.\nAnswer: -9, -0.5, -1\/6, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/102 and -25\/338.\nAnswer: 17238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/18 + 1\/2. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -767350, -765903, -764456, -763009, -761562?\n\"Answer: 1447*u - 768797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -44. Which is smaller: -32 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, 24, 68, 140, 246, 392, 584?\n\"Answer: q**3 + 5*q**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f + 12. Let m be 3\/(-9) + 7\/f. Let d be ((-2)\/(-6))\/((-1)\/(-3)). Solve i - d = m*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hshshssssss. What is prob of picking 3 h?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -260, 2\/5, -2\/5, 45?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 2*h**4 + h**2 + 4*h - 4*h in the form g*h**4 + u*h**2 + r*h + z + m*h**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1378 times 7180?\nAnswer: -9894040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -r + 4. Let k be 1 + r\/2*-38. What is the second derivative of -25*c**3 + 6*c + k*c**3 + 0 + 0 wrt c?\nAnswer: -30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33\/175 - -6\/25. Let q = 0.7 - 1. Which is the third smallest value? (a) m (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 1413244536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -58 (c) -7 (d) -3.1 (e) 1\/6 (f) 0.7 (g) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.033 + 297646.03?\nAnswer: 297633.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20860 - 73780 = -90*p. Calculate the highest common divisor of p and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13437 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*z**4 + a**2*z + 96*a*z + 27*z**2 + z wrt z?\nAnswer: -24*a**2*z**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 212016787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23523640 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**4 - 16*r + 16*r)*(2 + 3*r - 3 - 5*r)*(-2 + 0 + 1).\nAnswer: -12*r**5 - 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 966354 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 8:45 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13300 (base 4) to base 9.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -3 + (32 - 31) + (20 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 5:14 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 1\/3, 1\/10, 1119?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 11*y + 13. Let u be l(-10). Suppose 3*m = u*c + 2955 + 21051, 0 = 5*m - 10. Round c to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - -1. Let p = 7.7 - g. Let d = -2.5 + 1.5. Put 0.5, p, d in decreasing order.\nAnswer: 0.5, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-108)\/30*-45*(-3)\/2. Let x = n + 969\/4. Which is the closest to x? (a) 2 (b) -0.11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4792, -9623, -14454, -19285, -24116, -28947?\n\"Answer: -4831*z + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-2*4\/(-56)). What is the greatest common divisor of a and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000132402 to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 14) in base 11?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 784.6117 meters?\nAnswer: 784611700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7577, 29612, 66097, 117032, 182417, 262252?\n\"Answer: 7225*d**2 + 360*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449210 is divided by 3537.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5391, 10781, 16173, 21567, 26963?\n\"Answer: z**2 + 5387*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -37*w + 2. Let v be t(-3). Suppose -v = -5*g + 67. Suppose 0 = -4*y - 4, 4*y + 52 = 4*f - 0. What is the greatest common divisor of f and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 3*s - 4. Let r be b(3). List the prime factors of r + 5 + (29 - -4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3743 = 18*r + 143. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33618\/67 or -501?\nAnswer: -501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 5, 1\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 1:44 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -5 - (-9 + 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 121373\/11 or 11035?\nAnswer: 11035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/5 + 508*u\/5 + 32258\/5 = 0. What is u?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -17924 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.72905*-5\nAnswer: 8.64525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21213330031 (base 4) in base 7?\nAnswer: -30305242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2. Let z(f) = -f - 3. Let u be z(-5). Let p(k) = -7*k**2 + 4*k**u - 5*k**2. Calculate p(d(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 75516*k**3.\nAnswer: -75516*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - w + 6. Let u be s(-3). Let k = 17 - u. Sort 4, k, 5.\nAnswer: k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - 8. Put w, -1, 3 in decreasing order.\nAnswer: 3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.06 * 2049.72\nAnswer: -2172.7032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 9438.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/3*1*4*14\/(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 5*d**3\/3 + 7*d + 910. Let x(o) = -13*o. Determine x(q(a)).\nAnswer: -65*a**2 - 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -435.1 + 356. Let o = l + 79. Let n be (-1)\/(-2) - 6\/4. Which is the closest to n? (a) -2\/3 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.93 + 11. Let m = -0.26 - -0.03. Let a = y - m. Is a != -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkxkkkk. Give prob of sequence xxk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 11:56 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5590 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 15165 = 5*b, -p + 6067 = -2*b + 4*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/4 - 2305246*d**2 - 9220988*d.\nAnswer: d*(d - 9220988)*(d + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 5\/5222 (c) -0.0067\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**2 - 11284900*k + 8293163 wrt k.\nAnswer: -2*k - 11284900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4 - 837*b**3 + 683*b**2?\nAnswer: 24*b - 5022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, w: 2, f: 1, m: 3, j: 1, x: 3}. What is prob of sequence wmr?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 1. Suppose -5 = -5*y + 5. Let a be (-3 - -1) + 2\/y. Calculate l(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 205 - 205. Suppose -y - 16299999 = 4*r + r, 4*r - 3*y + 13040003 = q. Round r to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -14*s + 16. Suppose 3*y + 2 = -s*f, 4*f + 24 = -2*y + 6*y. What is the derivative of 3 + 356*i**2 + 37*i**4 - 27 - 356*i**y wrt i?\nAnswer: 148*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5927, -23720, -53375, -94892, -148271, -213512?\n\"Answer: -5931*g**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -9, -18, -33, -54?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*h**5 - 344306*h**4 + 16892077*h**2 wrt h?\nAnswer: 2220*h**2 - 8263344*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 3*k**2 + (-2 + 2*k + 2)*(164 - 164 - 30*k).\nAnswer: -57*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85605 + -25986.1.\nAnswer: 59618.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*a**3 - 189*a**3 + 348*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 8*y**2 + 11*y + 1. Let d = 11433 + -11425. Calculate n(d).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3) + (-20)\/(-12). Suppose -3*y = q*y. Factor -2\/5*h**2 + 0 + 2\/5*h**4 + y*h + 0*h**3.\nAnswer: 2*h**2*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 5*w = 35, -2*u - 29*w + 31*w + 18 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5682366973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -0*t + 6*t. Suppose z + 11 + 9 = 2*s, t*z - 16 = -4*s. Let c = s - 8. Is c equal to 2\/147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3056 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 1)*(2 - 1). Suppose -m*a = 23 - 3. Let p = -1 - a. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 1:47 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -118675833*m. Let n(c) = 3*c. Calculate u(n(a)).\nAnswer: -356027499*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3308.23 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, -3, -51, -119?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 36*s + 258 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -8 (b) 3 (c) 2 (d) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)\/sqrt(4) + sqrt(5) + (4*-2*sqrt(5))**2 + sqrt(5).\nAnswer: 5*sqrt(5) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/10)\/(39\/130). Suppose 2*k - 10 = 0, -a*p = -0*p + 3*k - 1811. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -845 > 0.33943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18, 31, 30, -3, -86, -237, -474?\n\"Answer: -3*p**3 + 11*p**2 + p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 117, 232, 347?\n\"Answer: 115*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) -0.0261 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 3501090670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (21 - 9) + -6 + (-6 - 0 - -49)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3 + sqrt(1008) + 2*sqrt(1008) + (sqrt(1008) - (sqrt(1008) + 1))*-3 + 5)**2 + 3)*-3.\nAnswer: 9504*sqrt(7) + 110352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 132908?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54762\/2161 != 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 110.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - v + 20 = -13, 3*v - 3 = 0. Suppose p*o = 35*o + 11100000. What is o rounded to the nearest 100000?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*w + 4*f, -3*f - 13 = -w + 17. Let n = -50 - -52. Solve 5*i - n*i = -w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/13 or -3549?\nAnswer: -3549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(275) - (sqrt(275) + -3)*-2)**2 + (6*((sqrt(1331) - (0 + sqrt(1331) + -2)) + -2))**2.\nAnswer: -90*sqrt(11) + 2484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7503500 to the nearest one hundred thousand.\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -117046, -234007, -350956, -467887, -584794, -701671, -818512?\n\"Answer: d**3 - 116968*d - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 10, 1.3, 5?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 32 + 2*j**2)*(366*j**3 + 60*j + 360*j**3 - 1 - 725*j**3).\nAnswer: 2*j**5 + 120*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61766 is divided by 15441?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11526 + -5820. Does 67 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2252 is divided by 94?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5))**(-5)*(x\/x**(-6))\/x**3)**(2\/43) assuming x is positive.\nAnswer: x**(4\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4715711, 3 in decreasing order.\nAnswer: 3, -3, -4715711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/633 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/21 and -17\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325565?\nAnswer: 5, 19, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 20627*u**2 + 55516*u. Let a(o) = -5156*o**2 - 13879*o. Let c(s) = -11*a(s) - 3*j(s). Find the second derivative of c(m) wrt m.\nAnswer: -10330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 2088035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.118, 1, 1\/4, -0.1.\nAnswer: -0.3, -0.118, -0.1, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -904.1 to the nearest ten.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3342, -6769, -10310, -13971, -17758, -21677, -25734, -29935?\n\"Answer: -b**3 - 51*b**2 - 3267*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + -1 - (-10 - (-6 + 27 + -7))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -490 - -492. Let t be (5 - 1)\/((24\/d)\/12). Solve 30 = 2*z + t*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmwnnnnwnnwnnnmnnn. What is prob of picking 1 w, 2 n, and 1 m?\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -324 + -73310?\nAnswer: -73634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4*z**3 + 3)*((6 + 2 + 5)*(-3*z + 2 - 2) - 2*z - 3*z + 6*z) in the form p*z**3 + y*z**4 + h*z + u + m*z**2 and give y.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -97 - -2 - (18512 - 18493)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.591 - -1.021. Let v = -1.57 - a. Let b be 2*(-2)\/8*2. Sort v, b, 1 in descending order.\nAnswer: v, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111110111111110001 (base 2) to base 11\nAnswer: 166956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76360187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141283.\nAnswer: 141283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 6 (c) 0.1 (d) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 7*l**2 - 5*l - 3. Let h be o(6). Suppose -h*q = -q. Which is greater: 1\/3 or q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*1\/3*387 + -3. Suppose -14*n - h = -17*n. Calculate the remainder when 81 is divided by n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-16) + (-52)\/16. Let v(f) = 2*f**2 + 2*f + 4. Let p be v(o). Let r = p + -8. Solve 0 = -q - 3*q - r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 999, 2058, 3159, 4302, 5487, 6714?\n\"Answer: 21*q**2 + 996*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -7*g. Is 32 + 2 + 0 + g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, n: 13}. Give prob of picking 4 p.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*241 - 7\/7. Suppose -5*m = 2*h + 89, 40 = -2*h + 5*m - 19. Let r = -7 - h. What is the greatest common factor of f and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s - 21. Let g be a(-6). Solve 0 = -2*u - g*o - 19, 4*u = u - o - 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 7853404?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**6\/20 - 5*i**4\/24 + 4*i**2 + 5*i. Let h(k) be the first derivative of b(k). What is the second derivative of h(z) wrt z?\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 15, -0.2, 7 in increasing order.\nAnswer: -2\/7, -0.2, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(6048))\/sqrt(2))\/((sqrt(588)\/sqrt(48))\/sqrt(7))*-6.\nAnswer: -144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (4*(-2)\/4)\/((-85)\/15969970) + 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3017853, -6035708, -9053563, -12071418, -15089273?\n\"Answer: -3017855*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 2*j - 10. Let p be o(-5). What is the greatest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 6*h**2 + h + 8. Let z be o(5). Suppose 6*y = 3*y - 27. Let b be (-8)\/12 - z\/y. Is b at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 times -573?\nAnswer: -1547.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -29. Suppose 6*g + 4*a - w = 3*g, -3*a = -2*g - 6. Solve g*z = -2*z + 3*d - 1, 0 = -4*z - d - 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -13, 6, 33, 68, 111, 162?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 337896, 337903, 337910, 337917?\n\"Answer: 7*w + 337889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 83*o**3 - 6392*o**2 + 69*o + 623. Give f(77).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 5*z**2 - 2*z - 3. Suppose 4 + 2 = 2*t. Calculate the smallest common multiple of x(4) and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccecmcemcccxcxxm. What is prob of sequence ccce?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x - 8. Suppose -b = -2*d + 6, 5*b + d + 19 = -0*b. Let o be s(b). Suppose -o*l + 42 = -26. Which is smaller: l or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p**2 - 1 + 5*p**2 + 33*p**2 + 0*p**2 + 23*p**2 to t*p + u + k*p**2 and give k.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 2*p**2 - 22. Determine o(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 2*s - 27*s**2 - 1.\nAnswer: -27*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (12 - 1)) + (-72 - (-82 - -35)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-20)*-4 + (-10)\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(1089) + (sqrt(1089)*4 - sqrt(1089))).\nAnswer: sqrt(17)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -175\/3 + 59. Let x(b) be the first derivative of b**2 + 0*b - 2 + w*b**3. Find the second derivative of x(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -416 - -224. Let i = 188 + g. What is the second smallest value in -1, i, -5, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - 0.2. Let m = 0.033 + -26.033. Let x = -26.3 - m. Which is the third smallest value? (a) 5 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20531794 a multiple of 277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 61 + 151 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 7:44 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16444 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 0.2, 43.41, 3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n - 13. Let h be f(-10). Let s = -6 + 9. Suppose -4*d - s*v + h = 0, -6*d + 3*v = -d. Let i(j) = -3*j + 2. Give i(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 284, 285, 284, 281, 276, 269, 260?\n\"Answer: -g**2 + 4*g + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from {q: 3, i: 8, f: 2, w: 2}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.44? (a) -0.1 (b) 0.5 (c) -1496 (d) -2\/71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 26 + 61)*(0*v + 0*v - 2*v) + (-5*v - 18 + 18)*(-2 - 1 + 0) in the form g*v + h and give g.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**5 - 710*g**3 - 437*g**2 wrt g?\nAnswer: -60*g**2 - 4260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4397*h. Let f(g) = 4*g. What is r(f(m))?\nAnswer: 17588*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 203 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 102973593 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (-18 - -12 - 9) + 17.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**5\/36 - 5*p**4\/24 - 19*p**2 + 77*p. Let h(r) be the first derivative of v(r). Factor h(g).\nAnswer: -5*g*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 782487, 782489, 782491, 782493, 782495?\n\"Answer: 2*t + 782485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/5)\/3*47\/940.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1950?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p**3 + 7*p**2 + 5*p - 3. Let d(j) = -3*j**3 - 3*j**2 - 2*j + 1. Give 5*d(h) + 2*i(h).\nAnswer: -h**3 - h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 5, 710, -2, -0.13, -136?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/24*(-426)\/(-639).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*l - 5*l**2 - 15*l + 8*l**3 + 1 + 3 - 2 + l**4 to the form h*l**3 + x*l**2 + b + s*l + v*l**4 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 9:23 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 4*i. Let r be u(5). Let h = r + -5. Suppose 4 = -h*a + a. Let d(o) = o**2 - 2*o - 3. Calculate d(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((1\/1)\/((-8)\/28))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -9. Let z(v) = -7*v**3 + 5*v**2 - 5*v + 5. Let n(b) = 3*b**3 - 2*b**2 + 2*b - 2. Calculate f*z(l) + 5*n(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2736809 = 16188809. Round p to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1\/47 (c) -34\/9 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175908.\nAnswer: 2, 3, 107, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -13509*h**2 - 53*h - 54. Let j be m(-1). Round j to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2641169343 to the nearest integer?\nAnswer: 51392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 145?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 101589 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 45*w + 427. Is 17 a factor of u(-48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2486 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i + 3 = 0. Suppose i*o - 24 - 18 = 0. Solve -s - 13 = -0*s - 4*g, -3*g = -5*s - o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53494 is divided by 1395.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 98*y - 55. Let s(h) = 198*h - 111. Let f(l) = 5*n(l) - 2*s(l). Is f(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 10 = -t. Let q be 8\/28 - (4 - (-636)\/(-28)). Let x = q - t. Calculate the remainder when x is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -214?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 34973580499*f**2 - 34973580497*f**2 - f.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**23*c*c)\/c**(-12\/11)*c**3\/c*c**(-4))**(3\/2) assuming c is positive.\nAnswer: c**(795\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 2116.797359286?\nAnswer: -2114.797359286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6 + 4. Let b(w) = 6*w - 2*w**2 + 3*w**2 - t - 10*w + 0*w**2. What is b(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3098*t + 103267 = -6193*t - 113542 - 257032 for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58 take away 3560.087?\nAnswer: -3560.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 51*r - 47*r = 26, -2*y + 5*r - 35 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**3 + 3 + 4*i**3 - 3*i - 2 to the form p + k*i + h*i**2 + o*i**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11386506.\nAnswer: 2, 3, 1897751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -0.595\nAnswer: 1.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 410 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 4)*(-136 + 25*u**4 + 136 - 2*u**3) to c*u**3 + h*u**2 + m*u + o*u**4 + l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**17*r)**(-3\/29) assuming r is positive.\nAnswer: r**(-54\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2659*q**4 + 2516*q wrt q?\nAnswer: 31908*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 7*s - 2. Let z(m) = 4395*m**2 + 4428*m + 10. Let x(j) = -5*y(j) - z(j). What is the second derivative of x(k) wrt k?\nAnswer: -8800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 460291 or 460292?\nAnswer: 460291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**3 + 1163*q + 0 - 1027*q - 10*q**3 + 0.\nAnswer: -2*q**3 + 136*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16761*d + 54643 wrt d.\nAnswer: 16761","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -2 - 1) + 45 + -37.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2319608\/5 at least -463922?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1608*a**3 - 777*a**3 - 846*a**3.\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + i**3 - 2*i + 5*i**2 + i - 2*i**2 in the form k + w*i + x*i**2 + a*i**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -282*q**2 - 103*q + 113. Let x(i) = 376*i**2 + 138*i - 145. Give -9*h(l) - 7*x(l).\nAnswer: -94*l**2 - 39*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d + 48. What is the remainder when (-78)\/4*(-32)\/12 is divided by i(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -925024 or -925021?\nAnswer: -925021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111110111 - 10011000?\nAnswer: 1001101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 - -97. Is h < 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*t + 30*q - 27*q, -104*t + 5*q + 25 = -109*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 2*w - 18. Suppose -w*b = -5*v - 21, -2*b - 7 = 5*v + 4. Find the third derivative of -17*t**b - 20*t**2 + 52*t**2 - 36*t**4 - 19*t**2 wrt t.\nAnswer: -864*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (-8)\/((-24)\/6). Let l(k) be the third derivative of -1\/30*k**4 + 0*k**3 - k**2 + 1\/300*k**j + 0*k + 1\/150*k**5 + 0. Let l(g) = 0. What is g?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -1. Suppose 0 = x - 0*x. What is the closest to x in -2\/15, y, -3\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -38. Suppose -4*p = -n - 0*n - 358, 456 = 5*p + k*n. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcxbbxxybyy. Give prob of picking 1 b and 1 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from zzozzzzzzzzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7161*z - 7157*z = 8*a - 32, 4*z + 2*a = -12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1036, 863, 690, 517?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.9 and 0.4.\nAnswer: 1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1356603 - -2?\nAnswer: -1356601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1 + sqrt(363))*-2)**2 + -4.\nAnswer: 88*sqrt(3) + 1449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 41321425. Let z be c(0). Let t = z - -28121425. Round t to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = t - 380, -3*r = -4*t - 2*r + 1444. Calculate the greatest common factor of t and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5878*d**5 - 619*d**3 + 18220427*d.\nAnswer: -117560*d**3 - 3714*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/4 of a micrometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*a - 367953 + 119253 = 0. List the prime factors of a.\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fafszsffaaz. Give prob of picking 2 a.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*c - 3*c. Let y = 10 - c. Suppose y*i - 76 = -2*i. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 y when two letters picked without replacement from {y: 1, e: 5, r: 3}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - g + 1. What is the tens digit of d(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.659*-3.\nAnswer: -37.977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 510 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 2*m + 2*x, 5*m = -4*x + 13. Let y be (m*-1)\/(1\/(-2)). Suppose -y*u - 3*u + 30 = 0. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1368148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*z + 565 = -474 + 127 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**6\/24 + x**5\/60 + 11*x**4\/24 - 2*x**3\/3 + 14*x**2. Is h(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33632959963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*q - 24445 = 0, -15*s + 11*s = -4*q - 19516. Let b be ((-1)\/(-6)*-3)\/((-6)\/s). What is the greatest common factor of b and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(175)).\nAnswer: -5*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 25.04. Let h be (-8540)\/(-915) - 20\/2. Which is the nearest to -1\/2? (a) 2 (b) 1 (c) h (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*(sqrt(52) + 0 + 5).\nAnswer: 100 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r**2 + 3*r + 2. Determine j(-3).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/11757 - -35263\/47028. Suppose -3\/4*r**2 + 0 - w*r**5 + 0*r - 9\/4*r**3 - 9\/4*r**4 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7906, 3, -1, -5.\nAnswer: -7906, -5, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 451*c + 21 - 1287*c**3 + 1284*c**3 to the form f + i*c**3 + o*c**2 + s*c and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.6 + 5.1. Let o be 1\/(-1) - (-20)\/16. Let i = 5 + -3. What is the smallest value in o, i, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*h + 4*h = 94399997, 0 = -4*i + 4*h - 188799988. Round i to the nearest one million.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**2 + 2*y + 10. Let o(g) = 7*g**2 - 4*g - 21. Let i(l) = 5*d(l) + 2*o(l). Give i(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 5*z + 7. Let b be u(4). Solve t = -4*y, -b*t = -6*t - 2*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003271 to 7 decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31282543 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1023*a - 7157. Determine k(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4124566, 8249145, 12373724, 16498303, 20622882?\nAnswer: 24747461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -49 (b) 1\/15 (c) 35 (d) 146 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*z - 2*z - 23*z - 28*z to w*z + q and give w.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f + 0*f - f**2 + (-14 + 14 - 3*f)*(34*f - 775 + 775).\nAnswer: -103*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6079822*n**4 - 6073*n + 1685?\nAnswer: 72957864*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -73757?\nAnswer: 15\/73757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*s = -6, -5*s + 24 = -4*c - 0*s. Let w(f) = f**3 - f - 1. Let x(o) = 3*o**3 - 6*o - 4. Calculate c*x(r) + 4*w(r).\nAnswer: r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -0.1, -395, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 226248.6 to the nearest 100.\nAnswer: 226200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11174805 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1.6. Let b = -75.83 + 75.73. What is the closest to b in j, 5, 0.7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 + b?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from qgggqggggqqggggggqg.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, -2\/15, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 26, 2, -1, 2\/57?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(3 - 3 + 2*q) + (28 + 7 - 13)*(-q + 0*q - q).\nAnswer: -46*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3285501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 10 = 2*q - 4*q, 5*q + 18 = 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 110?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 967584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4399719 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l = -31*l - 50. Calculate the greatest common factor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/255*918\/27.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, e: 2, b: 1, m: 4, g: 10}. What is prob of picking 1 b, 1 e, and 1 m?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + a**2)*(0*a + 0*a + 2*a) + 3756*a**3 + 3763*a**3 - 7515*a**3 + 55*a in the form h*a**2 + d + i*a + u*a**3 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -140*d**4 + 2435*d**3 + 37805*d**2 + 106270*d - 15960 = 0.\nAnswer: -6, -19\/4, 1\/7, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41.7 - -33.7. Is q at least as big as 1\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(216) + (sqrt(216) - 1*sqrt(216)))\/sqrt(6))\/(sqrt(60)\/sqrt(5)*-1))**2 - (sqrt(6)\/(-3*sqrt(2)) - -4*sqrt(21)\/sqrt(7)).\nAnswer: -11*sqrt(3)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-317 - -317) + 12\/135*6. Determine o so that 8\/3*o**2 - 4\/15*o**4 + 0 + b*o + 14\/5*o**3 - 14\/15*o**5 = 0.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2 = f, -3*u + 4*f = -0*u - 1. Let k be ((-2)\/(-4) + u)\/((-7)\/168). What is the greatest common divisor of k and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 133697755 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 205.3209 litres?\nAnswer: 205320.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 2 (c) 3\/4 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3473666767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344078?\nAnswer: 2, 7, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1102485\/50010727 + 126\/7319. Find the common denominator of -43\/9 and t.\nAnswer: 61497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 4*t = -3*b - 5, b = 2*t - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**5\/60 + 13*q**3\/6 + 2*q**2. Let w(m) = 1. Let o(s) = -28*s**2 - 1034*s + 52. Let r be o(-37). What is r*w(d) + 2*h(d)?\nAnswer: -2*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 26*l + 55. Let q be v(22). Suppose c - 2*n + q = 6*c, 0 = -c - 4*n + 43. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 22*v + 3*v + 16*v + v - 18*v**2 + v in the form m*v**2 + u*v + q and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, y: 1, l: 9, t: 8}. What is prob of picking 2 b?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3774*i**2. Let x(b) = -2*b. Give u(x(q)).\nAnswer: 15096*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.6 + -2. Let g = -0.5 - m. Let i = 1.2 + g. Are i and 1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m. Let q(z) be the second derivative of 71\/6*z**3 + 8 - 2*z + 0*z**2. Determine b(q(g)).\nAnswer: 142*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 132.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2432*h. Let d(l) = 2*l. Determine d(s(t)).\nAnswer: 4864*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -4410, -0.2, -2\/41, -17\/4?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 5155c5?\nAnswer: 5155c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + 1)*2*3*-6 + -4)**2.\nAnswer: 25920*sqrt(2) + 211552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3056307?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -38 - -272805393.4\nAnswer: 272805355.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*k + 145 + 466. Let g = k + 55. Solve -5*c - 12 = -g*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 35*r**3 - 24*r**2 + 171*r + 10. What is the hundreds digit of k(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, -38721, 5, 1 in increasing order.\nAnswer: -38721, -10, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, z: 1, b: 1}. Give prob of sequence pz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7*w - 83 = f, 0 = -5*w + 2*f + 106. Let t = 72 - 67. Solve -2*c + c = -t*r - w, 4 = -2*c - r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 7 = 4*o. Let d(u) = u**2 + 6*u - 7. Let n be d(o). What is the units digit of n - 5*(-3 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/5 - 22*z\/5.\nAnswer: 2*z*(z - 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4313, 17265, 38859, 69101, 107997, 155553?\n\"Answer: p**3 + 4315*p**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (5 - 12)) + -1 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4357293112?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**2*z + 11*x**2 - 16*x*z + 2*x + 2*z wrt x?\nAnswer: -2*z + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(0 + 2 + 1)*(4*f - 3*f - 4*f).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 - -7 - (12 + (10 - 28))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-107)\/(-13)*-1 - (-29 - 29\/((-1595)\/1155))\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1573)*1 + sqrt(1573)) + 4 - ((sqrt(1573) - (sqrt(1573) - (5 + 1 + sqrt(1573) + sqrt(1573)) - sqrt(1573)))**2 + -1))*1*-2.\nAnswer: 924*sqrt(13) + 28376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -14*k - 2. Let i(v) = 31*v + v - 33*v. Determine -g(t) + 12*i(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280003?\nAnswer: 19, 14737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231611 divided by -73.\nAnswer: 231611\/73","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 639181748 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 + 2*f**5 - 2*f**5 + (4*f**4 - 6*f**4 + 4*f**4)*(-3*f + f - 6*f) + (-2*f**3 + 2*f**3 - f**3)*(-3*f**2 + 11*f**2 - 4*f**2).\nAnswer: -17*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 12:11 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n**(-3)\/n)\/n*n*n**(7\/4) assuming n is positive.\nAnswer: n**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k**2 + 106*k - 242. Determine t(9).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 17313*v + 155715. Give l(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -27. Let l = -0.126 + 0.14. Let u = h - l. What is u rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 j, and 1 y when three letters picked without replacement from {j: 2, y: 4, f: 1, i: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5540, -5542, -5544, -5546?\n\"Answer: -2*s - 5538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1157692 divided by 578846.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -1 + 9\/(-6). Which is the nearest to o? (a) -2\/11 (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**3 - 1807*j**2 + 234*j wrt j?\nAnswer: -12*j - 3614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53070 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: How many minutes are there between 5:24 AM and 4:28 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1626 - 10059?\nAnswer: -11685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -30. Suppose 3*l - 4 = -d, -3*l + f + 1 = -2*d. Let z be (8 - d)\/(5\/(-655)). What is z rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 134*o = -138*o - 47, -16 = 4*p + 2*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 217.5 + -326. Let i = -108 - h. Which is the closest to 1\/2? (a) -12 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6090 + -6086. Solve -a*j + 16*j = -48 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -460 - 3*m + 856196*m**3 - 856196*m**3 + 5*m**4 wrt m?\nAnswer: 20*m**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 - -2. Let o = -43\/22 + 16\/11. What is the closest to g in -2\/7, o, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*j - 8. Is (3 - j)\/((-1)\/(-34)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5152, -5243, -5398, -5617, -5900?\n\"Answer: -32*j**2 + 5*j - 5125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/30*1)\/(770\/(-231)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 123623.65 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69561747*g**2 - 574412769*g.\nAnswer: -139123494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145669?\nAnswer: 31, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87\/(5 + -34))\/((22\/(-2))\/((-6)\/24))?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/48*14\/(-3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**5\/12 - 2*k**2. Suppose 3 = -2*j + 5*m - 3, 0 = -3*m + 6. Let c(d) = -3*d - d**j + d + 2*d. Determine c(s(z)).\nAnswer: -25*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 3*q**7\/14 - 7*q**3\/6 - q + 2. Let i(z) be the first derivative of j(z). Find the second derivative of i(n) wrt n.\nAnswer: 180*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 5*w**2 - 15*w - 24. Let o be b(-3). Solve 4 = 3*g - 5*g - l, 12 = g - o*l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 4. Suppose -h + 3*h = -6, 15 = -2*a - h. Let k be c(a). Let g(t) = 8*t - 109. Let f be g(14). Solve f*y = -b - k, 0*b = -2*y + b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.67, -2\/9, 0.3, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**3 + 11*v**3 - 22*v**3)*(-14 - 4 - 39) + 4*v**3 - 2*v**3 - 4*v**3 + (-3*v + 2*v + 0*v)*(-2*v**2 + 2*v**2 - v**2).\nAnswer: 968*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**2 + 3*d + 6. What is z(-4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 114269 divided by -2?\nAnswer: -114269\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + r + 51 = -14, 3*w - 39 = -3*r. Let d = 523 + -523. Let x be 9 + d + (13 - 8). Solve -x*h = -w*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 16156?\nAnswer: 16161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3\/7 + 173328*p**2\/7 = 0.\nAnswer: -86664, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.037 + -0.063. Let k = -5 - x. Is -6 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**6\/180 - m**4\/6 + m**3\/2 - 3*m. Let y(l) be the second derivative of z(l). What is the units digit of y(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123 and 16641613?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**3 + 33265*i**2 - 99830*i + 66560 = 0.\nAnswer: -6656, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53985.258 rounded to the nearest 100?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.391619us?\nAnswer: 391.619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439045686.\nAnswer: 2, 3, 251, 97177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 0. Let i(r) = r + 4. Give i(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 11:54 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-8 + (15 - 4)) - -9 - 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 30 = 2*n, 81*n - 6 = p + 77*n. Suppose 4*b = 83 + 13. Calculate the lowest common multiple of p and b.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -122 + 14*n + 117 + 4*n as h + g*n and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -4. Suppose z - q = 1. Solve z*k - 16 = 3*o, 4*o + 3*k = -2*k - 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gucjcxugmmug. Give prob of picking 2 u.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j = -3*j + 218 + 62 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -11, -36, -91, -188, -339?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.1 (c) -788\/495\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -14, 0, 2, -5, 1, 726?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzm when three letters picked without replacement from zmqz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 403*d - 5235. Let g be j(13). Suppose 2*z = -2*z + 1892. Suppose -z = -g*w + 307. List the prime factors of w.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23779 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -56. Let u(c) = -g + 1 + 2 - 2*c + 9. What is u(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 + -34131?\nAnswer: -34100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.144 + 3.204. Let j = -0.06 + n. Let l(f) = -4*f**2 + 35*f - 2. Let m be l(0). Is m bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62192359499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19\/4 of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/9 (b) -0.3 (c) -103\/4 (d) -121 (e) -6 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 267\/2 - 15\/(-30). Let n be (-5 + r)*(0 + 1). Calculate the highest common divisor of 86 and n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -110231 and 0.061.\nAnswer: -6724.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**3\/3 - 3*y**2 + y. Let j = -3 - -8. Suppose 0*p + j*p = -65. Let d(b) = 4*b - 13. What is p*w(a) + 6*d(a)?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2728052585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03303273 to 3 decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 49823 * -632\nAnswer: -31488136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 26 and 28 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 21 - (1 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 520121803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 10 = -2*v - k, -3*v + 12 = -5*k. Sort 3, -3, v in descending order.\nAnswer: 3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2482 and 579791477.\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbvvnvnqnbw. Give prob of picking 1 q and 1 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/23 and -276 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 616966 and 359918.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 3*c + 21, 2*c = 4*i + 7*c - 39. Suppose -t + i = -6. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s + 3. Let x(i) = 9*i - 33 + 21*i + 3. Let h(c) = -21*f(c) - 2*x(c). Is h(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 7. Let v be (-18)\/15*20\/3. Let m be 4 + 5 + (10\/2 - 1). Let p = v + m. What is q(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l**2 + 2 + 0*l**3 + 2*l**3 + 7*l - 3*l**3. Let p be f(-7). Suppose -3*s**2 + 3*s**5 + s**4 + 0*s**5 - 3*s**3 + p*s**2 = 0. What is s?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11326477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cckcknccwnlnkc. What is prob of sequence lk?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**2\/2 - 667. Let o = -2 + 1. Let p(n) = -10*n. Calculate o*p(d) + 5*q(d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1)\/h)**(32\/5)*(h*h**1)**49)\/((((h*h*h**(-3\/5)*h)\/h)\/h*h)\/h*(h**(-5)\/h)\/h)**33 assuming h is positive.\nAnswer: h**(1547\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*y + 248, -y = -6*y - 5*w - 315. Let a = 56 - y. Calculate the remainder when a is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127422 + -127414. Let f = 10 - 7. Solve 5*o - z = -3*b + f*o, 0 = -5*o - 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 4*y - y - 108, 0 = 5*u - 3*y - 212. What is the remainder when u is divided by (546\/312)\/((-17)\/(-8) + -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-165))\/((-27)\/405)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 2612374.\nAnswer: 28736114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**2\/11 + 3784080*q\/11 - 1789907680800\/11 = 0.\nAnswer: 946020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015831368 to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/97 or -2.3?\nAnswer: 8\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.378 - 4.402. Let q = 23 + -27.7. Let g = s - q. Round g to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -918 take away 21444.65?\nAnswer: -22362.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 557 - 557. Let s(c) be the third derivative of -8*c**2 - 5\/12*c**4 + 0 + 4\/3*c**3 + q*c. Differentiate s(j) wrt j.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*n**2 + 75*n**2 - 173193*n + 74*n**2.\nAnswer: 2*n**2 - 173193*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2450*1.5.\nAnswer: 3675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.049 - -0.049. Sort m, 1\/8, -1\/6 in ascending order.\nAnswer: m, -1\/6, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 38178.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/6)*(v*v*v*v\/(v*v\/v**11*v))\/v*(v\/v**3)\/v*v\/(v**(-5\/4)\/v))**(-2\/19) assuming v is positive.\nAnswer: v**(-137\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9325 divided by -5.\nAnswer: -1865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 1:43 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20430721211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2891367 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.5 - -4.54. Does 0 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2279, 2220, 2129, 2012, 1875, 1724?\nAnswer: 1565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + 3 - 3)*(3*i - i - 3*i + (-2 - 3 + 6)*(-2*i - 4 + 4) + 0*i - 3*i - i) + 0*i**2 + 0*i**2 - 2*i**2 in the form g*i + d*i**2 + f and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-244)\/(-671))\/((-26)\/11) + 6*(-40)\/975?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**8\/20160 - 13*l**7\/5040 - l**6\/144 + 23*l**5\/60 + 22*l**2 + 4*l. Let m(k) be the third derivative of f(k). Calculate m(9).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*b = -251 + 1514 + 1152 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19368.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 + 2*p**3 - 8*p**3 - 5*p**3.\nAnswer: -15*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 3 = 5*f. Let b(j) = -j + 7. Let v be b(f). Suppose -4*n + v = -3*a - 23, 0 = 4*n + 3*a - 24. Solve c + 5*t = -14, 4*c - 4*t + 14 = n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2013 - -2034. What is the greatest common factor of 161 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 40*j**2 - 4776*j + 62651. Determine h(15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/18)\/((-20)\/105*(7252\/56)\/(-37))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6101084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 11*t + 28. What is the smallest common multiple of 4 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2839.\nAnswer: 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281079997?\nAnswer: 11, 2311, 11057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9*y**2 - 1040\/3*y - 135200 = 0. What is y?\nAnswer: -780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 12*i - 36. Let x be m(-15). Let o = 2 - 0. Solve o*u = -u + x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2293309074.\nAnswer: 2, 3, 7, 7800371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyf when three letters picked without replacement from fyffybyytffyyff?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 1:49 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 342641 to the power of 1\/2, to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63849.78 rounded to the nearest 1000?\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**4\/2 + 4825445*u**3\/2 + 3216961*u**2\/2 - 1608481*u\/2 = 0?\nAnswer: -1608481, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v + 3*v - v - 1 + 3*v. Let z(c) = -c**3 + 7*c - 4. Let g(i) = 4*o(i) - z(i). Find the second derivative of g(u) wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25284.0025911 + 25284. Round r to four dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*b = 9889 + 391127. What is the highest common divisor of b and 5022?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13 - ((0 + 3 - -4) + 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 6*t**2 + 6. Let s(f) = f**3 + 6*f**2 - f + 7. Let m(x) = 5*p(x) - 4*s(x). Let j be m(-5). Let l = j + 2. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274, 548, 822, 1096, 1370, 1644?\nAnswer: 1918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 803263*b**4 + 2*b**3 - 490*b**2 + 34697*b.\nAnswer: 19278312*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1253 - 0.1253. Put 2\/9, -276, f in descending order.\nAnswer: 2\/9, f, -276","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52502 (base 14) to base 10\nAnswer: 198550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/7018662?\nAnswer: 1\/7018662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: a8 (base 14) to base 10\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 1:05 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -5 - 4 - ((-65)\/(-2))\/(-5)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuvzzuuzuzsuazvu. Give prob of picking 1 a and 1 u.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnxnnnxn. Give prob of sequence nxn.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -68, -113, 72, 703, 1996, 4167, 7432, 12007?\n\"Answer: 36*i**3 - 101*i**2 + 6*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 35 = -3*d, 2*v = -v - 3*d + 129. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -51*r**7\/70 + 53*r**3\/2 + 24*r**2 - 2*r. Differentiate n(b) wrt b.\nAnswer: -612*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330.1 take away 16?\nAnswer: -346.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 - 4*a + a**4 - 2*a**4 + 5*a - a**3 + 2*a**2 to the form n*a**4 + k*a + o + t*a**3 + z*a**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = f - 456, h - 2*f - 513 = -72. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 589811 by 28.\nAnswer: 589811\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 2. Let l(c) be the first derivative of 3*c - 1 + 1\/2*c**2. Determine 5*l(x) - 7*t(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 1. Let d be g(3). Suppose -3*a = -1 - d. Which is bigger: a or 4\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 793196 is divided by 71946?\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*sqrt(34)\/sqrt(2) + ((sqrt(102)*-1 - sqrt(102)) + sqrt(102))\/sqrt(6)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5987 + -5144. What is the lowest common multiple of 33 and s?\nAnswer: 9273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-35)\/r)**(-31\/5))**43)**(-8\/9) assuming r is positive.\nAnswer: r**(-42656\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 22*c - 20*c = 25, 5*q - 2*c = 5. Solve -4*m - 8 = 3*s, q*m - 5*s = 7*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l - 12 = 0. Suppose 5*w = -3*x + 302, 124 + 46 = l*w - x. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/1*6\/9. Let p = m + -5. Suppose -b = -3*b + 36. What is the greatest common divisor of p and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 1. Let t(q) = 10*q**3 + 2*q**2 + q. Let a be -2 + 4 - (-1 - -2). Let x(p) = a*w(p) + t(p). Let o be -2*3\/6 + 0. Give x(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -925 + -c?\nAnswer: -934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 + 9333\/425)*(-79 - -9).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + 6. Let m be s(-2). Suppose 0 = m*p - 161 + 17. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 33654312348.\nAnswer: 33654312346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -264500 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50.89 <= -114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 87, 275, 653, 1287, 2243, 3587, 5385?\nAnswer: 7703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 256, 250, 228, 184, 112?\n\"Answer: -s**3 - 2*s**2 + 7*s + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2904 divided by -2\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/5436 and 29\/138.\nAnswer: 125028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1823541 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 3:23 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1256\/942*1\/4. Sort -2\/93, 1\/8, 2\/11, s in increasing order.\nAnswer: -2\/93, 1\/8, 2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -200*x - 18. Let z(h) = -91999*h - 8274. Give 1379*w(o) - 3*z(o).\nAnswer: 197*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1722)\/2583)\/((88\/(-3729))\/(-4))?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 65625*d - 10 + 10 + 65608*d - 131284*d.\nAnswer: -d**2 - 51*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2 - 6 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nawwawwnawhnn. What is prob of picking 1 a and 1 n?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 0*x**3 + 7 + 1\/10*x**5 + 0*x - x**2 + 0*x**4. Let s(y) be the second derivative of m(y). Let c(b) = -b. Calculate c(s(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 146*t**2 + 1316*t + 90. What is the derivative of m(w) wrt w?\nAnswer: 292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4511 divided by 1\nAnswer: -4511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 11:27 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.63 - -0.37. Let q = u + -28. Which is the nearest to q? (a) 5 (b) -4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14 - 2) + -5 - 2*1. Suppose -v*a = -a - 44. Let d be (4\/2 - 432\/40)*-5. What is the greatest common factor of d and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26052 and 1092?\nAnswer: 182364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2493 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c5 - 1?\nAnswer: 2c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 minus -3222485432724?\nAnswer: 3222485432723.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009124 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 259 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 - 202*j\/9.\nAnswer: 2*j*(j - 101)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 26. Let k(t) = t - 2. Let a(u) = -u + 1. Let n(q) = 6*a(q) + 5*k(q). Give n(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**6*((t*t\/t**(-5))\/t)\/t*(t**(-1\/3))**(-5)*(((t\/((t**2\/t)\/t))\/t)\/t*t**3)**9 assuming t is positive.\nAnswer: t**(92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -39*k + 13*k + 24*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/4)\/(r**(3\/2)\/r))**(1\/19) assuming r is positive.\nAnswer: r**(-5\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, n: 4}. Give prob of picking 2 j and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -3 - -4 - -46. Let l = b + -44. Solve 3*n + 2 + l = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, l: 1, k: 11}. What is prob of picking 2 k and 1 l?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4778*y - 108730 = 107614 + 63095 - 7093 for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1053) + -1 + sqrt(1053) + 1 + (sqrt(1053) - (-5 + (-2*sqrt(1053) - sqrt(1053)))))**2 + 3.\nAnswer: 540*sqrt(13) + 37940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/2892372 and -17\/118056?\nAnswer: 5784744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 53. What is the highest common factor of o and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 7)*(-4 + 4 + y) + (11 + 6*y - 11)*(-3 - 2 + 3) + 1 - 1 + 2*y.\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35063?\nAnswer: 7, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53946 = -232*y - 458*y + 24*y for y.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -239*b**5 + 2*b**3 - 1371*b**2 + 1 wrt b.\nAnswer: -14340*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12))**2*-4 - sqrt(27)\/sqrt(81) - (3 + sqrt(48) - sqrt(6)\/sqrt(2)*-6)**2.\nAnswer: -357 - 181*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*i + 2 - 3, i - 4 = -4*s. Sort i, -1\/5, 1, -1\/17 in decreasing order.\nAnswer: 1, i, -1\/17, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 9:28 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(10)*-1) + -2 + (-5*(sqrt(77) + -2*sqrt(77) - sqrt(77)))\/sqrt(11))**2.\nAnswer: -36*sqrt(7) + 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*y + 2*q, -2*y = 6*q - 10*q - 38. Let b(r) = 66*r - 65. List the prime factors of b(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 59. Let f = -6 - v. Let t(d) = -4*d + 3 + f - 5*d + 8*d. Determine t(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1781967923?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11406875 (base 9) to base 14\nAnswer: -a48956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 8:35 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2 + 1. Let t = 13 + 1. Calculate the remainder when b - ((-1)\/(-1) + -29) is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -555, -395, -283, -243, -299?\n\"Answer: -4*c**3 + 188*c - 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3825198 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 29 - 33 = 0. Solve 3*b = l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.5, -43, 1 in descending order.\nAnswer: 1, 0.5, -0.5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**3\/3 + 4*p**2 - 4*p - 16. Calculate k(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 + 4*n**2 + 3*n + 1. Let q be d(-2). Let a be q\/(-2) - 1\/2. Suppose -4*i = a*v - 4*v - 12, 4*v = 3*i + 1. Which is smaller: i or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 564716?\nAnswer: -5\/282358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 7917?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, -150, -359, -652?\n\"Answer: -42*o**2 + o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*s - 3*c + 3907, -2*c - 101 = s - 54 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118953619?\nAnswer: 5717, 20807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 0*k**3 - 19 - 10*k**3)*(-6 + 6 + 3*k**2).\nAnswer: -30*k**5 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y = -20. Let q = 7041 - 7041. Solve 3*t = t - 4, q = -3*f + y*t + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/40)\/(16\/10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12210329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -197 - 6*i**2 + i**2 - 6030*i**3 - 6038*i**3 + 12067*i**3 - i + 1474*i**4 wrt i?\nAnswer: 35376*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 7*h**2 - 5*h. Let l be p(6). Let z be (l\/(-8))\/(4\/(-16)). Factor -3*y - 3*y**2 + 2 + 6*y + y**3 - z.\nAnswer: (y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3, 0 = -0*v + 4*v + 2*l - 2754. Calculate the highest common factor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 6902?\nAnswer: 68dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -953 (b) 2\/13 (c) -261\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -62, -130, -222?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1356.144 to the nearest integer.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*m**4*u - 2*m**3*u - m**3 + 33*u - 2 wrt m.\nAnswer: 104*m**3*u - 6*m**2*u - 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -5*d**2 + 39*d + 178. Let l be p(6). What is the third smallest value in l, -0.05, -0.3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -1 - 1, -3*u + 3*i + 78 = 0. Suppose -2*l = -0*l - u. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 71 = -71. Suppose g = 17*z - 20*z. Solve -2*r + z*r = -4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 1. Suppose -p + 0*p = -4*m - 26, -3*p + 6 = 0. Let u = 1 + -3. Let a(n) = 4*n - 2. Give m*c(s) + u*a(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -37. What is the lowest common multiple of d and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 190 - 205. Suppose 43 + j = 12*a. Solve k = -a*o - 2*k - 17, 3*o + k + 14 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.761672 to three decimal places.\nAnswer: 8.762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 34*t**2 - 3*t + 3. Suppose -6*r - 6 = -4*r. Let o be s(r). Let w = o - 169. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2404 + -2400. Let n(r) be the second derivative of 0*r**5 - 2\/15*r**6 + 0*r**3 + 0*r**s + 13*r + 0 - 33\/2*r**2. Differentiate n(a) wrt a.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1768 bigger than -1750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwwjt. What is prob of picking 1 g, 1 t, and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(-2\/15))\/k)\/k)**(-34))**(-7\/4) assuming k is positive.\nAnswer: k**(-1547\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xuy when three letters picked without replacement from vvuxtuy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16576891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/6 and -125\/9942?\nAnswer: 9942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*u - 5*d, 2*u - 30 = 2*d + d. Suppose -u*y = -8*y - 21. Let s be (3 - 8)*(81\/(-15))\/y. Solve -4*k + s - 1 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49987 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 + 2*b**2 - 5*b - 6. Determine p(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, l: 10}. Give prob of picking 3 r.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 160456208215 from 0.12.\nAnswer: -160456208214.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -19354*x + 348362. What is c(18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*j + 2087*j - 57780 = -909*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108109\/18 + -6004. What is the common denominator of 59\/57 and n?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**3 + 15*x**3 - 17*x**3.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (0 - 1)) + 161. Let h = -110 + j. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 8\/15, -5, -3\/2, -2\/5?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 + 55 - 22) + -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/33 - (-60)\/33. Suppose -5*b - p*s + s + 6 = 0, -3*b + 2 = s. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -115?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.6 + -2.17575?\nAnswer: 33.42425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(3*sqrt(7)) - 2*(sqrt(3) + 1*sqrt(3))**2.\nAnswer: -24 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 175 and 575?\nAnswer: 4025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50140 and 111180?\nAnswer: 2557140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/105)\/((-2)\/9*3)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at least 72356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o + 36. Let k(a) = -a + 7. Let y = -2 - -17. Suppose 2*f = -3*d - 2*f + 6, 5*d - y = -5*f. Let v be ((-70)\/(-10))\/(2\/d). What is v*k(l) - 4*b(l)?\nAnswer: 3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.21529102 rounded to one dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -18. Suppose 3*b + a - 93 = 4*j, 4*j = 0. What is the units digit of -1*b*(7 + -8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyygygygggggyyygggn. Give prob of picking 1 y and 1 g.\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 2)*(2*h - h + h) + 2 - 3*h - 4 + 2*h)*(1349 - 439 + 748).\nAnswer: -8290*h - 3316","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.657847 minutes in hours?\nAnswer: 0.29429745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w**2 + 8*w + 33. Is q(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -437, -873, -1309, -1745, -2181?\n\"Answer: -436*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 88. What is the tens digit of (-1094)\/(-13) - 6\/q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*h + 72, 0 = -6*h + h + 5. What is the remainder when f is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**2 - k**2 + 74*k - k**2 + 53*k + 1 - 11*k to f*k + d*k**2 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 25 (b) -4\/3 (c) -24 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 184109237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202010022 + -1022100?\nAnswer: -210102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2130 + -4162794.\nAnswer: -4164924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atte when four letters picked without replacement from {e: 6, a: 1, t: 7}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 195*v - 8916. Determine t(-121).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(2*y - 3*y - 3*y) - 4*y + 0*y + 2*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.865 + -0.965. Let s be 11\/(-4)*(-8)\/44. Let o = -0.04 + 4.04. Which is the closest to -0.2? (a) z (b) o (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -10480 (b) -2\/45 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**5\/2 + 308*x**4 - 5411*x**3 - 19298*x**2 + 10821*x\/2 + 18990 = 0.\nAnswer: -633, -3, -1, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*z - 0. Let b = z - 2. Let m = -33\/2 - -101\/6. Are b and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1141434 - -220?\nAnswer: 1142204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20722 is divided by 1122?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 470956\nAnswer: 188382.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/5)\/f**(-6))\/(f\/f**10*f*f**(2\/7)) assuming f is positive.\nAnswer: f**(501\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*f + 8 - 8)*(-f - 2*f - 6*f)*(-f**2 + 3*f**2 + 0*f**2).\nAnswer: -288*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l + 76 = -10*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v + 16, -2 = -3*f - 5*v. Is f at most -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17787089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1111 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -342 + 201. Let w = r + 163. Calculate the remainder when 87 + (-1 - 2) - 1 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830883198?\nAnswer: 2, 3, 821, 168673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -97634824.\nAnswer: -97634828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 56 = 37*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = q, 12 = 3*z - 4*q + 2. Suppose -6*d + 11649 = -5475. Suppose d = z*y - 2948. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-5 + -2 + sqrt(1584) + 1 + 4) + -2)*3)**2 + -5.\nAnswer: -8640*sqrt(11) + 228991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 764308?\nAnswer: -5\/382154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 9:22 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/5)*a*a*a**2*a*a*a*a)**(2\/37))**(-15\/8) assuming a is positive.\nAnswer: a**(-141\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -36. Calculate the remainder when h is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -16*c - 1478. Let u(f) = 2*f + 31. Determine z(u(n)).\nAnswer: -32*n - 1974","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 2:04 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + sqrt(56)\/sqrt(16))\/(sqrt(448)*-1)*-6.\nAnswer: 9*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -527 or -528?\nAnswer: -528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from {y: 6, a: 5, g: 1, r: 6}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68214.\nAnswer: 2, 3, 11369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 461*i**2 - 3 + 460*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.782 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37028?\nAnswer: 2, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 1, f: 4, z: 2, a: 3, m: 4}. Give prob of sequence rh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*p + 3*s + 168, 3*p = 3*s - 504. Let j be (p\/49)\/6 + 3970\/14. Round j to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2585751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 763.1786 decades to millennia.\nAnswer: 7.631786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - b + 3*b)*(0 - 2 + 0) + (-b - b + b)*(0 - 5 + 2).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -580 + 581. Which is the closest to 0? (a) p (b) -1\/8 (c) -3\/2 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.45632*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(1008) + (sqrt(1008) - (-3 + sqrt(1008))) + 5 - sqrt(1008)) + -1 + sqrt(1008) + 1 + sqrt(1008) + sqrt(1008)))**2.\nAnswer: 5184*sqrt(7) + 82224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 11*v - 6. Suppose -556 = -v*k - 2*d, 3*d - 5*d + 370 = 2*k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*t**5 - 75*t**2*u**3 + 956*t*u**3 wrt t?\nAnswer: -140*t**3 - 150*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -62*o**3 - o**2 - 3*o - 2. Let g be v(-1). Suppose g + 110 = y. Suppose d = -3*d - 20, y = 2*z - 4*d. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 7*u**2 - 2*u - 3. Give o(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 30*f**2 - 30*f + 128. Calculate t(-31).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 11*i = -32*i + 630. What is the lowest common multiple of i and 343?\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 12*r = -15. Sort -4, -5, r in increasing order.\nAnswer: -5, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**3 + 2*y**2 + 3*y. Give k(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 4*h**2 + 5*h + 3. Suppose 12*w - 8*w = 20. Let t be x(w). Suppose 5*c = o - 21, -4*o + 11 = -5*o - t*c. Is o at least 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1698, -3400, -5100, -6798, -8494?\nAnswer: -10188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v\/(v*v*v\/(v**(-3\/4)*v)*v)))\/v*v)\/(v*v*v*v**(1\/6)))**(2\/79))**(21\/4) assuming v is positive.\nAnswer: v**(49\/632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 4)*(3*t - 5*t + 3*t) + 1 + 2*t + 1 + t)*(5 - 1 - 1).\nAnswer: 15*t + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4107869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.464 - 23.24. What is the second smallest value in v, -1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (105 - -2)*430\/(-25*10\/(-100)) a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 7:56 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2\/3 - 13661*g - 24786566\/3 = 0.\nAnswer: -40369, -614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 683607593+-0.158\nAnswer: 683607592.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*i - i**2 + 5*i**2 + 0*i + 2*i**3 wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 811*b + 36 = -807*b, -7 = -p - b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 695409276177?\nAnswer: 695409276176.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361*h**3 - 2469316*h**2 - 519844*h - 27360 = 0. Calculate h.\nAnswer: -6840, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**3 + 7*n**2\/2 + 13. Let s = 40 + -28. What is the smallest common multiple of l(-3) and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 9:24 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 8:28 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*q**3 + 16*q**3 - 277*q + 279*q + 1 - 2*q**2 - 3*q**4 in the form a*q**2 + y*q**3 + r*q + d*q**4 + w and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2. Let g(s) = -333*s**2 - 7967416 - 489*s**2 + 7967416. What is o(g(y))?\nAnswer: -2027052*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3522 - -3524. Which is the nearest to -0.2? (a) -3 (b) q (c) -129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzz when three letters picked without replacement from pzpppzsppzztztzzp?\nAnswer: 49\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3284029831 and -254.\nAnswer: -3284030085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -3 + a**3 - 1 + 2. Let k(f) be the second derivative of -f**3\/3 + 2*f. Calculate k(y(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 1814490.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -4*a - 67 + 104, -2*a = 3*l - 5 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -c4 (base 13) to base 7\nAnswer: -316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13158778877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 968255*s - 21508*s + 880890*s.\nAnswer: 1827637*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 a, 1 d, and 1 m when four letters picked without replacement from {a: 3, x: 1, q: 1, d: 5, e: 1, m: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01507, -4, 3\/4, 4.5, 5, 1 in ascending order.\nAnswer: -4, 0.01507, 3\/4, 1, 4.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, 1398 in increasing order.\nAnswer: -9, 3, 1398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -12*r**2 + 23*r + 21. Let g be y(-9). Let h = -751 - g. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 257\/192 - 1\/192. Let m be (-128)\/156 - (-18)\/27. Sort -2, m, w.\nAnswer: -2, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158050970 to the power of 1\/2, to the nearest integer?\nAnswer: 12572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 60 = -794*g + 797*g, l - 5*g = 84 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + u)*(2*u - 2*u - u**2)*(0*u**2 + 3*u**2 - 6*u**2).\nAnswer: 3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w**2 + 12*w - 6. Let n(s) = 9*s**2 - 26*s + 13. Let m(c) = -6*n(c) - 13*z(c). Let h(v) = 16*v**2 - 3. What is h(m(l))?\nAnswer: 64*l**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(-1 + (-94)\/5 - -6). Calculate the highest common divisor of p and 552.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 7*a + 4. Is m(-4) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, s: 5}. What is prob of sequence wss?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**4\/24 + 11*q**3\/6 + 32*q**2 + 5*q. What is v(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.073149 rounded to 2 decimal places?\nAnswer: 16.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 35*b**2 + 3*b - 28. List the prime factors of q(4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*g - 13. Let v(q) = -q**2 + 8*q. Let i be v(g). Let m = i - 11. Let a(y) = -y**2 - 3*y - 2. Calculate a(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)*i*i*(i\/(i*i\/((i**(2\/11)*i)\/i)))\/i*i)**6 assuming i is positive.\nAnswer: i**(678\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16720 and 94240.\nAnswer: 1036640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 3*f + 4*k, -2*f = f - 4*k + 18. Which is the biggest value? (a) 0.3 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1595057*-11\nAnswer: 17545627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31135874 is divided by 529.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0303017751 to six decimal places.\nAnswer: -0.030302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1. Let n(c) = 2*c - 25. Let d(a) = -6*f(a) - n(a). Calculate the remainder when 30 is divided by d(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.2 or -6972116?\nAnswer: -6972116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 245388 and 3146?\nAnswer: 245388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3882614.97 to the nearest one hundred.\nAnswer: 3882600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + 11010?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 74\/(-4) - 3\/(-6). Let g = w + 25. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -646, 320, -1, 0 in increasing order.\nAnswer: -646, -1, 0, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 23. Is c < 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-155 - 68923*a**4 - 92 + 68925*a**4)*(2 - 3 + 4).\nAnswer: 6*a**4 - 741","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*b**4 + 12 - 18*b + 14\/3*b**3 + 2\/3*b**2.\nAnswer: 2*(b - 1)**2*(b + 3)*(b + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x - 186 = -25*x. Let g = 37 + x. What is the smallest common multiple of g and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrr when three letters picked without replacement from hrhhhrhh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/(-8))\/(2\/40). Let m = -49 - -70. Let i = m + -6. Calculate the greatest common factor of j and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -247481 (base 16) to base 14\nAnswer: -462957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 1\/6*b**3 - 3*b**2 + 0 + 0*b + 1\/24*b**4. Let k(s) = -4*s - 5. Let g = -4 - -2. Determine g*j(y) - k(y).\nAnswer: 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(77))\/(-5*sqrt(7)*-1) + -2.\nAnswer: -2 - sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -650 (base 7) to base 8.\nAnswer: -511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, -9, 2\/11 in increasing order.\nAnswer: -9, 2\/11, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -9. Suppose 851 = 24*t - 9301. Let q = 456 - t. What is the remainder when q is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p + 16. Let r be v(-8). Let m = r - -43. Suppose -2*k - 3 = -m. Solve 4*s = 2*f + 14, 6*s - 5*s - k*f = 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76804 and 17654.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m**2 - 75*m + 64. What is the remainder when 33 is divided by h(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 2.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0. Suppose t = -4*w + 5. Solve -4*h - w = 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 195 + -288. Let t = u + 146. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3\/2 + 1584815*z**2 - 502327716845*z\/2.\nAnswer: -5*z*(z - 316963)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -32.3. Let x = -15.2 + 14.2. Put v, x, 4, 1\/7 in decreasing order.\nAnswer: 4, 1\/7, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4360.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 114\/252 + 4\/(-14). Let o(p) be the second derivative of 0 + j*p**4 + 0*p**3 + 0*p**2 - 2*p. Let s(y) = -2*y**2. Calculate o(s(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 9*w + 3. Calculate b(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40590889 a multiple of 569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 + (1 - -4 - 11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 21*y + 43 = -26*y, 9 = -3*y. Suppose 2*v - m*v = 3*n - 1297, 0 = n + 3*v - 435. Calculate the remainder when n is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 - 2*y**2 - y**4 - y**3 - 9 - y to the form u*y**3 + j*y**4 + f*y**2 + x + z*y and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqpqppbppbqqpqpp. What is prob of picking 1 b and 2 p?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50*n*s**4*z**3 + 5*n*s**2*z**2 + 9*n*s**2 - n*s*z**3 - 701*s**4*z**3 + s**2*z**3 - z**2 wrt s?\nAnswer: 1200*n*s*z**3 - 16824*s*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by 9.\nAnswer: -94\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17b1 - 22?\nAnswer: 178e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 13*f**3 + 3*f**2 + 3*f - 5. Is m(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**7\/105 - b**6\/180 - b**5\/60 - b**4\/24 + 2*b**3\/3 - 2. Let h(p) be the third derivative of q(p). Determine h(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 23*g**2 + 10*g**2 + 3*g - 17 to the form y + q*g**2 + s*g and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -387*j**2 + 2769 with respect to j.\nAnswer: -774*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/(3\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2328*u + 11. Let m(x) = -2318*x - 10. What is -8*c(f) - 9*m(f)?\nAnswer: 2238*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*p + p**5 + 71*p - 3138*p**4 + 82*p + 492*p**4 wrt p.\nAnswer: 20*p**3 - 31752*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17\/6*t**2 - 8\/3*t**4 + 1\/3*t + 0 + 20\/3*t**3.\nAnswer: -t*(t - 2)*(4*t - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132121 (base 4) in base 7?\nAnswer: -5446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3105 and 120226815.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 43*t**2 - 115*t + 209. Let o be v(-40). Suppose -4*u + 16 = -4. Solve -u*n + 3 = -12, -2*l + n - o = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*g - 5557 = -40*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31846 - -0.010371.\nAnswer: -31845.989629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from {b: 2, e: 1, z: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -32. Suppose -6 = -2*d + 5*x - 3, c = -5*d - 3*x - 39. Let y be (d\/(-5))\/((-34)\/(-255)). Solve i + 2*i = y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f + 45. Let y be a(-18). Let v be (2\/4 - 5) + (-4 - y). Factor 5\/2*r - 2 - v*r**2.\nAnswer: -(r - 4)*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001238 rounded to five dps?\nAnswer: -0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4332022 (base 5) to base 16.\nAnswer: 1211c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32\/39, 3, 11, -12, 5\/4.\nAnswer: -12, 32\/39, 5\/4, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3750967 - 3750931.00122. Let a = t - 36. What is a rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 722 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (145\/20 - 5)\/((-1)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21802263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161550 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1993? (a) -1\/4 (b) 45 (c) -2 (d) -0.1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**3 - 14*s**2 + 8*s + 14. Let t(q) = -13*q**3 - 29*q**2 + 18*q + 29. Let f(y) = -5*g(y) + 2*t(y). Suppose f(u) = 0. Calculate u.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*k = -491*k - 183*k - 651*k - 141700 for k.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 562 from -5.\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w + 5. Let f(b) = 4 - 143*b + 146*b + 1 + 1 - 8. Give 3*d(z) + 7*f(z).\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-1 + 5) - (10 + -16 + -58)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.4. Suppose 11*u + 6 = -16. Which is the nearest to u? (a) -2\/9 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9*x**3 + 69*x**2 - 2*x + 1. Let f(n) = -2*n**3 - 3*n**2 + n. Calculate a(l) + 2*f(l).\nAnswer: 5*l**3 + 63*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**4\/3 + 1397*t**3\/3 + 162866*t**2 + 484412*t\/3 - 974408\/3 = 0.\nAnswer: -698, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/83 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2075 is divided by 256.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 6. Let q be u(-3). Suppose -q*a + 125 = -115. What is the highest common divisor of a and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 7. Let v(h) = -1. Let s(m) = -l(m) + 2*v(m). Let a be s(16). Suppose a*f + 4*f = 88. Solve -5*g = f + 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 22*u**3 + 5*u - 30. Let f(r) = 11*r**3 + 2*r - 15. Let l(d) = 5*f(d) - 2*g(d). What is the first derivative of l(q) wrt q?\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (46\/3)\/((-2)\/(-21)). Let q = m - 91. Suppose -4*r + 40 = 2*z, -2*r - r = -2*z + 19. Calculate the greatest common factor of q and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-430)\/(-4) - 3\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 537.1 + -537. What is the third smallest value in 5, -5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 - 7*d**2 + 29*d - 107. Determine o(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 9*o**2 + 7*o + 17. What is the tens digit of l(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 + 0*o + 3*o - o**3 - 25*o**4 - o**2 - 1 + 23*o**4 to the form t*o + q + p*o**2 + k*o**4 + c*o**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45245, -184731, -417209, -742685, -1161165, -1672655?\nAnswer: -2277161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 253777180 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 65, 68, 73, 80, 89, 100?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 336 - 336 - 48*f**2 as w + d*f**2 + l*f and give d.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2177321 - -10.067.\nAnswer: 2177331.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - a + 124 = -0*c, 2*a + 31 = -c. Let l = c + 41. What is the remainder when 49 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(7\/4)\/h*h**(1\/2)\/h)\/(h\/(h**(-1\/5)*h))**(2\/39) assuming h is positive.\nAnswer: h**(187\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.018 in -4, -2, -11245, -0.4, 5\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - 4850\/(-220))\/((-7 + 6)\/((-2)\/(-1)))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96395*w + 96327*w + 6596 for w.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6757270 (base 8) to base 11.\nAnswer: -10382a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -486 divided by 2.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/(-361) + (-54)\/19 - (112\/(-18) - -1)?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 21*a - 20. What is the tens digit of o(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = q - 36. Solve 0 = -0*v - 12*v - q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*o - 45373 + 6613 = 1704*o + 1174*o for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 90*(-51)\/((-10557)\/46)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 233816*o - 3*o**2 - 233816*o + 3 - 3.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 5*i**4\/24 - 2*i**2. Let a(v) = -2*v. Give a(k(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33)\/(-22)*22\/(-1). Let c = 14 + 41. Let h = c + g. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6410811?\nAnswer: 3, 11, 194267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 321 and 1059.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**3 + 46*y**2 + 62*y - 164. Let c be x(10). Solve c*f - 54*f - 10 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5) + 0 + -8 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 88*n**2 - 370*n + 485. What is r(-92)?\nAnswer: 669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 820, 3762, 8814, 15976?\n\"Answer: 1055*u**2 - 223*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/15 (b) 76 (c) 16 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35826 and 0.3.\nAnswer: 10747.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1*6)\/((-87)\/1073). Suppose 20*t - 26 = d. Put t, 2, -4 in descending order.\nAnswer: t, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 - z**2 - 12*z**2 to b*z**2 + r + l*z and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3179, -3164, -3149, -3134, -3119, -3104?\n\"Answer: 15*d - 3194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 78592.9 millilitres in litres?\nAnswer: 78.5929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 0 + 0. Let r(t) = -6*t + 24*t + 1187 + t + 5*t - 1187. Determine r(k(p)).\nAnswer: -48*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*o - 173*o**3 + 266*o + 183*o**3.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from wwywwywwwwy.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, g: 2, v: 2, q: 2}. Give prob of sequence gqv.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(m + 3*m - m) - 22*m - 9*m - 8*m + 0 + 0 - 3*m.\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1194, -4724, -10534, -18564, -28754?\n\"Answer: 10*v**3 - 1200*v**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 9 = 5*g, 2*l - 4*l + 8 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 0.2, -0.4, -1\/13 in decreasing order.\nAnswer: 0.2, -1\/13, -1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -34742.5304 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7*i**2 - 133*i + 1. Let u be f(-19). Calculate the greatest common divisor of u and 118.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 77 - 231 = 176 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0365711483 rounded to five decimal places?\nAnswer: 0.03657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32491, 0, 1.\nAnswer: -32491, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -11 - (-2 + 0 + -9 + 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101433 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 4. Let m be u(3). Let f be 6\/27 - m\/(-45). Let l = 0.1 + -0.2. Which is the closest to l? (a) 2\/11 (b) f (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-42)\/4 + (-56)\/(-7). Let s = 44 - 87\/2. Which is the third smallest value? (a) -0.1 (b) -0.8 (c) s (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18*(1 - (-20)\/3). Let z = -78 + c. Suppose z = 3*k + 2*k. Calculate the remainder when 22 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -22\/9, 0.3, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52648966 is divided by 27975.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 16221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 22.157?\nAnswer: 110.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3)*(3 - -129) + -1. Let k = -87 - d. Suppose 6 = k*f + f. What is the remainder when 25 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25266, 50620, 75974?\n\"Answer: 25354*k - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1080*j**3 + 54*j**2 - 27*j - 48. Let p(s) = 154*s**3 + 8*s**2 - 4*s - 7. Determine -27*p(b) + 4*u(b).\nAnswer: 162*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 18c?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (-18)\/2)\/(-2 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + 8 + (-2 - (11 - 15))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/68431 or 1?\nAnswer: 1\/68431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 388 - 195. Let f = -189 + a. Solve -14 = f*i + 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/4 and -133\/1210?\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 0*l**6 - 1\/28*l**8 + 0*l**3 + 0 + 0*l + 13*l**2 - 1\/24*l**4 + 0*l**5 + 0*l**7. Find the second derivative of f(z) wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 6 - ((-5 - -9) + -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, -5, 9, 102, 1 in decreasing order.\nAnswer: 102, 9, 1, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*1\/3*13\/(442\/(-2))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -573 - -584. Calculate the greatest common factor of h and 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(51)\/(sqrt(300) - (sqrt(300) - (sqrt(300) - sqrt(300)*1 - sqrt(300))))*-1)**2.\nAnswer: 17\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-615*z - 42 + 1215*z - 620*z)*(z + 5*z - 4*z) to the form i + v*z + k*z**2 and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + r = -207. Is 0 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 d, and 1 w when three letters picked without replacement from {h: 3, z: 2, w: 1, d: 3, m: 1, n: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g - 14. Determine f(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 3, 1\/71, 67.2 in ascending order.\nAnswer: -5, 1\/71, 1, 3, 67.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 - -1. Sort u, -1\/3, -0.2 in increasing order.\nAnswer: u, -1\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 8\/83 (c) -2 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(2\/23)\/(v\/v**(-5\/3)))\/(((v\/(v\/(v*(v\/((v**(5\/2)\/v)\/v))\/v)))\/v)\/v**(-1)))**(-6))**31 assuming v is positive.\nAnswer: v**(13175\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 860122 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: Which is the second smallest value? (a) -1\/4 (b) 0.41 (c) 1\/2 (d) 2\/9 (e) -3 (f) 151 (g) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/(sqrt(224)\/sqrt(7) + sqrt(8)))\/(((1*sqrt(160))\/sqrt(4))\/sqrt(5)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49770 + -28070. Is w a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/18781 + 56355\/75124. Put 2, n, 28\/963 in descending order.\nAnswer: 2, n, 28\/963","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymx when three letters picked without replacement from mxxzzxyxmxzzzxxx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. Let k be 0 - (-3 + 1) - -6. Let q be 2*(4 - 28\/k). Solve 3*o - q = x*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1013136 - 25*c**3 - 37*c**2 + 70*c**3 - 1015735 with respect to c.\nAnswer: 135*c**2 - 74*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 12. Let i be j(8). Suppose i*q + p = -2*p + 10, 2*q - 4 = -p. Sort q, 3, -2, -1 in descending order.\nAnswer: 3, q, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32103.2 grams in milligrams?\nAnswer: 32103200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 36. Calculate the lowest common multiple of 18 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q + 14. Let j be p(3). Let i be ((-8)\/(-8))\/(1\/j). Calculate the highest common factor of i and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -43 + 3. Suppose -6*x = -h*x + 5*x. Which is bigger: -2\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 762, 1731, 3088, 4833, 6966?\nAnswer: 9487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-34) + (-132)\/(-34). Let a be ((-8)\/9)\/b - 235\/(-45). Solve -a*v - 6 = -6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -668*i + 788*i. Let s = 4.8 + -0.8. What is the biggest value in s, 2, i, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, n: 12}. Give prob of sequence nan.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-8)\/(-54)*15) + (-8897)\/(-13671)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*(-30)\/135*(-24)\/(-44).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882881\/52 + (-2)\/4*3\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 4, q: 5}. Give prob of sequence qt.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h - 1. Let t be x(1). Suppose j + t*j = -3. Sort 4, 3, j in ascending order.\nAnswer: j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2 + sqrt(2))*-6)**2 + -1.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.4 and -691.8067228.\nAnswer: -693.2067228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, a: 2, c: 1}. What is prob of sequence ciai?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 3)*(-17 - 16*k**2 + 17) + (1 + k - 1)*(2*k + 2*k + 0*k) in the form s + q*k + o*k**2 and give o.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683 greater than 738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 46*k**2 + 96*k - 25. Give c(48).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 114 in decreasing order.\nAnswer: 114, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 510, 1172, 2006, 3012, 4190, 5540, 7062?\n\"Answer: 86*z**2 + 404*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 415 - 1031. Let d = s + 691. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34834 - 18035. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2325)\/65)\/31*((-42)\/(-15))\/7?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184387939.\nAnswer: 11699, 15761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188132220 and 7020.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 = -2*u, -5*t - 6 = 5*u - 1. Let l = 5 + t. Let z(f) = -6*f + f - f**3 + f + l*f**2 + 3. Calculate z(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20370170567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/8)\/(2\/14). Let i(s) = -s**3 + 6*s**2 + 8*s - 8. What is i(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1932, 1933, 1932, 1929, 1924, 1917, 1908?\n\"Answer: -u**2 + 4*u + 1929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(0 + -1) - 0. What is the tens digit of (42 + 3)*3\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3 - 6. Let s(m) = 5*m**2 - 5*m - 8. Let d(a) = -a**2 + a + 1. Suppose -4*b + 5*c - 31 + 12 = 0, 3*b = -c - 19. What is b*d(x) + j*s(x)?\nAnswer: x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16986350 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 11.02788?\nAnswer: 11.22788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 7 = -3, -4*t = 5*r - 439. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.3 + 14. What is the nearest to -1 in 0.3, q, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**7 + 7*h**3 - 3 - 1 - 3 - 3*h**3. Find the third derivative of i(b) wrt b.\nAnswer: -840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 5*t + t**2)*(-t + 0*t - t) + 2*t**3 - 2*t**3 - 2*t**3 + 4*t**3 + 3*t**3 + 2*t**3 + (-3*t + t + 4*t)*(20*t**2 + 16*t**2 - 25*t**2).\nAnswer: 27*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6*2\/9)\/((-15)\/(-180)). What is the greatest common factor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0743945um to nanometers.\nAnswer: 74.3945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -12*d**2. Let l(y) = 2*y**2 - 3*y - 6. Let j(b) = -b**2 + b + 2. Let u(c) = 6*j(c) + 2*l(c). Determine u(q(i)).\nAnswer: -288*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*l - 128 = -4*n - 60*l, -5*l = 3*n - 103 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5615323471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1624*r + 11368. Let h be j(-7). Is 12 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3336950 rounded to the nearest ten thousand?\nAnswer: -3340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 + 6*q**2 - q**3 + 3*q**2 + 3 - 7*q. What is the smallest common multiple of (-16)\/(-2) + 0\/3 and a(5)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 2*j = -5 - 17, j - 20 = 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 38*x + 0 + 0 as n + b*x and give b.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -395670*k. Let u(q) = q**2. Give w(u(d)).\nAnswer: -395670*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, j: 4, v: 12}. Give prob of picking 2 v and 1 h.\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (17 - (49 + -63 + 15 + 4 - 13)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -70*((-185)\/35 - -5). Solve -h = -2*d - 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*p**2 + 11*p - 4802 wrt p.\nAnswer: 134*p + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -413223315.9732.\nAnswer: -413223316.4732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.4 and -0.023.\nAnswer: -2.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, a: 10}. Give prob of sequence gaa.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 306 and 2736?\nAnswer: 46512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ninety-four thirds of a minute?\nAnswer: 1880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 945751?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -106.9. Let l = -18 + y. Let i = l + -88.9999959. Round i to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 0 (c) -0.85 (d) 0.1 (e) 8.6 (f) -0.63\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -10172 to the nearest 100.\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 45. Let s be h(0). Let m(y) = -11*y - 12. Let v be m(-5). Suppose -s - v = -4*a. What is the greatest common divisor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n - 4*n)*(-n + 4*n + 3*n) - 2*n**2 + 3 - 3 + n**2 + 0*n + 0*n + (1 + 2 - 4)*(-n + 2*n**2 + n).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014236 rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/12 - (-2)\/(40\/(-195))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 - 3)*((0 + 1 + 0)*(0*m**3 - 3*m**3 + 7*m**3) - 3*m**3 - 3*m**3 + 4*m**3).\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -538.9147 + -0.0853. Let s = 544 + w. Which is the nearest to 2\/15? (a) 4 (b) s (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116 - -366. Suppose -2*z = 3*r - 194 - 56, -4*r - x = -2*z. Calculate the remainder when z is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnnv when four letters picked without replacement from vtnnnttnntrnttntt.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tjttjtjtjjjtjtjttjtt.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 24*j - 136. Let b be c(-10). Suppose -u = -b*q - 20835, -5*q + 24*u = 23*u + 26045. What is q rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5601*s + 9396*s - 9015*s to the form m*s + u and give m.\nAnswer: 5982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 v when three letters picked without replacement from {x: 2, l: 1, v: 1, w: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2696483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/2037505 and 119\/2445006.\nAnswer: 12225030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, s: 5, m: 6}. Give prob of sequence sd.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 200*y - 3906. Let p be n(-20). Calculate the greatest common divisor of p and 559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471764 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -1571?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 8. Let j(q) be the first derivative of -q**2\/2 + 7*q + 88. Determine -4*j(t) - 3*l(t).\nAnswer: -2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120 + 102 + (-60)\/(-3))\/(2\/24) - -9?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719194 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2311, -2200, -1897, -1306, -331, 1124, 3155?\nAnswer: 5858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44341)\/(-1001) + -44 - (-2)\/28*-2. Which is the closest to 1? (a) 2.3 (b) -5 (c) s (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-420)\/(-15) + 2716\/(-98).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350624 is divided by 5394?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47086964257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + -1*sqrt(19).\nAnswer: -sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + 1 + (-338 - -304) - (27 - 33)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + z**2 + 8*z + 3. Let h be a(0). Suppose -4*p = 6 - 18, -5*j - 29 = -h*p. Put 4, -23, j in ascending order.\nAnswer: -23, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*y = -507 + 92, 4*y - 99 = -b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 5:02 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -52372?\nAnswer: 1\/13093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/(1353\/22)*3\/(-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/10 and -35\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/64 of a kilometer?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - 0. Let n = -50\/3 - -52\/3. What is the nearest to a in 5, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from ththllhhhthgtthgtgtt?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -496199 - -342448. Let q = l - -51751. Let b be (-72 + 2)*q\/(-14). What is b rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 20 - (2 - 0 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 19, 4487 in increasing order.\nAnswer: 2, 19, 4487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1724 and 357299?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 240*c - 1585. What is the units digit of v(62)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + (-1 - 0))\/1. Let f be (9 - q)*140\/40. Let 13*i - 128 - f*i - 10*i - 2*i**2 = 0. What is i?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(153)*-1 - sqrt(153))**2 - sqrt(153) - sqrt(153)) + 3 + -4*(4 + sqrt(153) + 0 + sqrt(153) + sqrt(153) + sqrt(153)))*1.\nAnswer: -54*sqrt(17) + 599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3 (b) 0.4 (c) -1\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 130?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75*d**5 - 117*d**3 + 60*d**2 - 20*d - 92263 wrt d.\nAnswer: 1500*d**3 - 702*d + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, 5, 10.318, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/4 - 3*a**2 + 15*a\/4 - 3\/2.\nAnswer: 3*(a - 2)*(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 204*w + 428. What are the prime factors of v(8)?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 97 - 6*d**2 + 48)*(2*d**3 - 2*d**3 - 2*d**3).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-7 + -8 + 14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12110 divided by -6055\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162*f**2 - 1056*f + 15488\/9.\nAnswer: 2*(27*f - 88)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 12. Let g(a) = -18*a + 6. Let j be g(t). What is the highest common divisor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, 37, -2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4) + 49\/210 - 66\/(-110). Let m(l) = l**3 + 5*l**2 - 3. Let t be m(-5). Which is the nearest to 0.3? (a) o (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -13 - 14. Suppose 0 = -3*t + 27 - j. Let z = 10 - t. Solve z*n + 12 = n - 4*k, -5*n = -k + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**2\/2 - 3*k + 49. Let i be m(11). Solve -5*z = -i - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 532261315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1166*b**5*s**2 - 23*b**2*s - 6*s**2 wrt b.\nAnswer: -69960*b**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 3:42 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = -k. Let m = -27 - -9. Calculate the remainder when (m\/15)\/((-6)\/40) is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*sqrt(560)\/sqrt(7)*2*-5 + -2 + 3)*-5 + 5.\nAnswer: -5 + 1600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*i + 152 - 735 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 - -51. Let v be 4\/w - 85\/(-15). Suppose 2*r = 4*p - 12, -v*p + 2*r = -5 - 8. Solve -5*u + p = 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 522311280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -7*13458\/(-42) + 1 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/72*(-60)\/(45\/(-3))*-2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.22 - -0.2. Let k = -1.98 + m. Let r = -34 + 103\/3. Which is the biggest value? (a) k (b) -2\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * -418.2903\nAnswer: 585.60642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26478379*s**5 + 18*s + 28899 wrt s?\nAnswer: 529567580*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 10 - -29) + -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 2, f: 1}. What is prob of picking 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 0*q**4 - 13*q**2 + 5\/3*q**3 - 47\/60*q**5 + 0 + 0*q. Differentiate f(u) wrt u.\nAnswer: -94*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + sqrt(1617) + (-3*sqrt(1617) - sqrt(1617)) + sqrt(1617))\/sqrt(11))**2.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a day?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25274 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (0 - (-7 - -11))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 3\/25, 3, -0.7 in ascending order.\nAnswer: -0.7, 3\/25, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/609 and -101\/420.\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p. Let r be x(-1). Let s = -6 - r. Let h = 8 + -5. Solve 1 = s*a + h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 87*f - 8*f**3 + 13*f + 11*f + 9*f**3.\nAnswer: f**3 - 63*f - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -28, 3, 258 in ascending order.\nAnswer: -28, 1, 3, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5*p - 255, 5*p - 7 = -22. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwbkawp. Give prob of sequence pkbu.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10272 = -k - k + 4*d - 10286, -3*d = -2*k - 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*d - 4*a + 93, -5*d + 155 = a. Suppose d*w - 399 = 34*w. Round w to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/437006 and 111\/92980?\nAnswer: 4370060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*n + 106*n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2.63112 - 4281503\nAnswer: -4281500.36888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16941 and 84705?\nAnswer: 84705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(36\/8 - 4). Suppose f = 15*c - 3*c + 108. Is 4 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1622728, 3245537, 4868348, 6491161, 8113976, 9736793?\n\"Answer: m**2 + 1622806*m - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + sqrt(504)*4 + sqrt(504))\/(sqrt(8) - (((sqrt(72)*-2 - sqrt(72)) + sqrt(72) - sqrt(72) - sqrt(72)) + sqrt(72) - sqrt(72))).\nAnswer: 16*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/9 - 28*m**2\/9 - 70*m\/9 - 44\/9.\nAnswer: -2*(m + 1)*(m + 2)*(m + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10337.6 + 10337.759966. Let n = -0.16 + d. What is n rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 4277210050.\nAnswer: 8554420100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 164\/479705 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 26 = 16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2492912*q + 2492912*q + 139*q**3.\nAnswer: 139*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s + 10. Suppose -598*v + 605*v = 35. Let y = 67 - 22. Suppose v*o - 4*i = -42, 0 = o + 4*o - 5*i + y. Let k(t) = t - 3. What is o*a(q) - 20*k(q)?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -10044 (b) -2 (c) 3\/4 (d) -1 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9474463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 w when three letters picked without replacement from {s: 2, w: 3, p: 1, u: 3, f: 2, e: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4473271842 to the nearest 100000.\nAnswer: -4473300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwz when three letters picked without replacement from onwoznwoownonww.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 9:37 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 679*n + 612*n - 13 - 1235*n to the form k*n + x and give k.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/6705 and 86\/45?\nAnswer: 6705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, s: 1, x: 2, r: 3, t: 9}. Give prob of picking 1 r and 1 b.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -7. Let l be -1*0\/1 - -3. Which is the nearest to p? (a) -1 (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 48*m**2 - 9*m + 1. Let o be l(6). Suppose -4*u - 415 = -n, 4*n + 0*n - u - o = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, k: 1, p: 1, z: 1, s: 1, j: 1}. What is prob of picking 2 k, 1 p, and 1 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 1306830.\nAnswer: 14375130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -384 - 89?\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 499*t**4\/6 - 3674*t. Let h(x) = -3*x**2. Determine u(h(j)).\nAnswer: 8982*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29022061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -234685422 less than -0.3?\nAnswer: 234685421.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1100, 4, -0.37, -2 in descending order.\nAnswer: 4, -0.37, -2, -1100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -1.31?\nAnswer: -1.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -513*k**2 + 2230*k + 56. Let t(w) = 511*w**2 - 2232*w - 48. Let g(c) = 6*f(c) + 7*t(c). Find the second derivative of g(x) wrt x.\nAnswer: 998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2*z - 6, 4*v - 7 = -3*z - 2. Suppose v*y - 21 = -3*q, 5*y - 16 = -5*q + 24. Suppose x + y*x = 60. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 3*k + 35, -p + 30 = 370682*k - 370680*k for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 25*c**2 - 65*c + 24. Let f be (-5 + (-2 - 37))\/2. Let x be g(f). Let p(o) = -2*o**2 - o + 1. Let n(i) = -i**2 - i + 1. Give x*p(a) - 2*n(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1205, 1640, 2053, 2432, 2765, 3040, 3245?\n\"Answer: -2*x**3 + x**2 + 446*x + 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t**2 - 15*t - 31. Let q(w) = -12*w**2 - 31*w - 60. Let r(x) = -5*i(x) + 3*q(x). What is r(-17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14\/(256\/42 + 6\/(-1)) is divided by 62.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1397.496 to the nearest integer.\nAnswer: -1397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16676 + 33358 - 16682 - p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(605) + sqrt(605)*-1 - sqrt(605))*-5 - (-1 + -2*sqrt(605))))**2.\nAnswer: 154*sqrt(5) + 29646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 + 1228501963?\nAnswer: 1228501883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -140 + 199. Suppose -5*n - r + 85 = 0, -4*n + r = -0*r - j. What is the smallest common multiple of 8 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 540 * 1800.\nAnswer: 972000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*x - 70, -42 = -3*x + 3*q - 2*q. What is the lowest common multiple of x and 78?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 606123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 113 = 7. Let s be 1682\/6 + (68\/12 - 5). Let q = 293 - s. What is the highest common factor of b and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36531\/2376)\/((-460)\/(-64) + -7)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 48*l**4 - 213356*l**3 - 871796*l**2 - 925376*l - 71184 = 0?\nAnswer: -2, -1\/12, 4449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 294469189 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 45*v**2 - 168*v - 51. What is p(-41)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40905 rounded to three decimal places?\nAnswer: -0.409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 97*n - 809. Determine b(9).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140659011?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 b when three letters picked without replacement from aukbuxbyabaaabu.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 87*s**2 - 1765*s + 14. Determine f(-55).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * -0.1033.\nAnswer: -0.011363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 + 390*k - 2310. Determine b(6).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2*62)\/(-2)*(-93)\/11625 and -24\/5.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.13, -1.28, -0.077, 2, -0.2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 12. Find the third derivative of 6*l**c - 5*l + 5*l + 6*l**2 wrt l.\nAnswer: 720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o + 13793 = -11947. Does 195 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnvvnvn.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 2*q + 5*c + 10, 2*c = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 4*u**2 - 4*u**2)*(2*u - 2*u - 2*u) - 2*u**3 + 0*u**3 + u**3 + 35*u**3 - 20*u + 20*u + (-4*u + 2*u + 4*u)*(-15*u + 5*u**2 + 15*u).\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = i - 2*p + 1, -4*i + 2*p = 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -943.153 - -957.2. Let m = h + -0.047. Let q = -13.99989 + m. What is q rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = p + 4. Solve 2*d + s + p*s - 13 = 0, 12 = 4*s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -277, -340, -447, -604, -817?\n\"Answer: -a**3 - 16*a**2 - 8*a - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -11 + 13 + q + 5. Determine m(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s + 23. Let r be z(-15). Let f = 118 - r. Solve -f*j + 12 = 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -2275180.\nAnswer: 25026980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1, 382, 2\/3, 1.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84548 and 69844?\nAnswer: 1606412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/1 - (-112)\/8. Let g be 50\/8 + 9\/u. Let t(f) = -f**3 + 6*f**2 + 10*f - 8. Let m be t(g). Solve 3*q - 5*o = -o + m, 2*q - 8 = 2*o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Suppose -w*l = 3*i - 24, 0*l + 4 = 2*i - 4*l. Let q(x) = x**3 - 5*x**2 - 6*x. Give q(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2000*(-2)\/((-16)\/904). What is k rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z**2 - 5*z - 1. Let s be w(4). Suppose -5*a + 8*r + s = 3*r, -a + 4*r + 27 = 0. Let p(g) = 2*g + 26. What are the prime factors of p(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90221470*y**4 - 4307*y**2 - 3189?\nAnswer: -2165315280*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 134416 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16 (b) 4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18019?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x = -48*x, 3 = 3*r - 2*x. Put r, -2, 34 in increasing order.\nAnswer: -2, r, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -184a (base 13) to base 8.\nAnswer: -7033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.09 + -9.5. Let s = k - -0.61. What is the biggest value in 11, 0, s, 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*q**5 - 5931*q**4 - q**3 + 5795725*q**2.\nAnswer: -1380*q**2 - 142344*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 82 = -14. What is the highest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -14 (c) -299 (d) -14.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4241158 * -42\nAnswer: -178128636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 y, and 1 u when three letters picked without replacement from tyutyzuzgqqtuqu?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 0.2, -20, 2\/3 in ascending order.\nAnswer: -20, -2\/13, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5371077 is divided by 107421.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*q - q + 42 = 0, 4*g = -5*q + 60. Let x = -9 + 15. Calculate the lowest common multiple of g and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/18*-2*9)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/335 - -4848\/26465. Let t = 2791\/9954 - d. Find the common denominator of t and 71\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + r = -2976201, -2*w = -r + 610853 - 2098954. What is w rounded to the nearest 1000?\nAnswer: 744000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -288 divided by 96\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*j - 1095. Let p = 613 + -608. Suppose -3*h = -p*s - 0*h + j, 2*h + 221 = 5*s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 - 1)*(f + 1 - 1) + 2*f - 3*f + 4*f)*(4 - 3 - 10) + (2*f - 1 + 1)*(-3 + 1 + 1) as z*f + y and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 + 7. Calculate h(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21800431, 21800437, 21800447, 21800461?\n\"Answer: 2*h**2 + 21800429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10857 equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.64076 - 0.14076. Which is the closest to -0.05? (a) 2\/5 (b) p (c) -425\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - z. Let y = -5 - -8. Let v be (-2 + y)\/(1\/2). Suppose 2 = -0*i - v*i. Let p(c) = -4*c**2 + c + 2. What is i*p(d) - 2*q(d)?\nAnswer: 2*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8311, -8310, -8309, -8308?\nAnswer: -8307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2 = -2. Let h(f) = -f + 17. Let z be h(16). Suppose -d*y + 3 - z = 0. Sort y, -0.1, -1\/3 in increasing order.\nAnswer: -1\/3, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137627613?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*(1*(sqrt(1300) + -1) + (-1 + sqrt(1300))*4)**2 + 4.\nAnswer: -8000*sqrt(13) + 520404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 3 - (-7 - -1). Let p be (-30 - -3 - k)*-1. Suppose -p = -2*r + 43. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + sqrt(28)\/(-1*sqrt(36)\/sqrt(9)).\nAnswer: -sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-u + 0*u - 2*u)*(-3 + 6 - 1) + (-4 + 1 + 2)*(2 - 2 - u) - 1 + 2*u + 1)*(-2 - 1 + 1) to the form j + v*u and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 + 7.75\nAnswer: 4.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**3 - 23*d**3 + 6*d**3 - 17*d**3.\nAnswer: -23*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 5*i - n + 527 - 505, 337 = -103*i - 4*n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.1, -2\/85, -1\/141?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = w. Suppose 2*a + 2 = -w. Let z = a - -3. Solve 0 = -c - 2*k - 5, -z*c + 2 - 4 = -4*k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 271*s**2 - 7*s - 11. Is o(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-15.6\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 - 87. Sort -3, 5, 3, t in increasing order.\nAnswer: -3, t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 690\/4*6*(-4)\/(-18). Suppose -5*t = 4*h - n + 40, 0 = 5*h + t - 248. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**3 - 2*h**2 + 2*h - 1. Let d be o(1). Let u = 11 + -6. Let n = 0.028 - -0.472. Which is the closest to d? (a) -0.4 (b) n (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 58, 82, 106, 130?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.26517ug in grams?\nAnswer: 0.00007526517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 7\/3*y**3 - 7*y + 2 + 1\/4*y**4 - 5*y**2. What is the units digit of z(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 172.095 and 5.\nAnswer: 860.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 24636?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 18 = -2*s, 5*s + 4*c - 200051 = -200084 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 704 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9*k**2 - 107*k + 1100. Give v(9).\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 + 24*l**2 - 33 to b*l**2 + h*l + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 6 = -3*m - 0, 3*m - 1396*y + 1401*y = 16 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/165010 and -89\/5775?\nAnswer: 190586550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 4473577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 167*k**2*r - 85*k**2 with respect to r.\nAnswer: 167*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1391794418 and 0.55.\nAnswer: -1391794417.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -1.1, 2, -0.6, 718 in increasing order.\nAnswer: -4, -1.1, -1, -0.6, 2, 718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19213 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -9 - (2043 - 2121)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**5 - 3*b**5 + 4*b**5)*(7 + 11 + 2) + b**5 + b**5 - 2*b**3 + 5*b**3.\nAnswer: 42*b**5 + 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a year in months?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32*i**3*r**2*y - 3945*i**3*r + 14*i**3 - 2*i**2 - 3079862*i*r**2*y + 137*i*r**2 wrt y?\nAnswer: -32*i**3*r**2 - 3079862*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.05 - 12.15. Round h to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -134 - -133.766. Let t = -1.766 + y. What is the third smallest value in t, 6, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**8*u*u*u\/(u*u\/(u**(-3)*u)))\/(u**(-4)*(u**3*u)\/u))**(-1\/71) assuming u is positive.\nAnswer: u**(-8\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -149*i**4 - 12*i**2*x**3 - 10125*x**3 wrt i?\nAnswer: -596*i**3 - 24*i*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (8 - 17 - -20)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -174, -167, -156, -141, -122, -99?\n\"Answer: 2*d**2 + d - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 32*z = -5*z - 92*z. Solve 33*s - 47*s - 70 = z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 101979 + 101907 = 0 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 523233 or 523230?\nAnswer: 523230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 156867 to the power of 1\/2, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) + 5\/2. Suppose -4*b + 5*b = -t. Let o be -2*2 + 1 + 1. Which is smaller: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h**2 - 4*h. Let a(v) = -39*v. Let n(c) = -49*c. Let g(j) = -5*a(j) + 4*n(j). What is g(i(r))?\nAnswer: 5*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1372\/462)\/49)\/(-1)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3430\/12617 + 1\/1147. Let y(n) be the first derivative of 4\/33*n**3 - 2\/11*n**4 + 1\/33*n**6 - 4\/11*n + u*n**2 + 0*n**5 + 11. Solve y(v) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*v + 408 = -12*v. Solve 0 = 13*q - v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-454)\/(-1) - (9\/3 + -4). What is the highest common divisor of 35 and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -400.44 + -1.56. Let d = x - -402. Sort 0.5, -0.2, d.\nAnswer: -0.2, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49491570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3\/(-27)*(19 + 1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*g - 1410 = -80*g + 1259 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/22120 and 1\/50.\nAnswer: 110600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*g = 8*m - 18, -2*m - g = -3. Solve -m*i - h + 15 = -6*i, 2*i + 3*h = 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1020723354?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*l - 46 - 92 = 0. Suppose x + 3*x - 40 = 0. Suppose 2*s - x = -3*s. Solve l*p - 1 = s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13070805 or -13070799?\nAnswer: -13070799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*i**3 + i**2 - 4991171 + 4991171.\nAnswer: 199*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 50, -29, -194, -475, -902, -1505, -2314?\nAnswer: -3359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 74 = 7*w. Suppose 5 - 7 = 2*t. Let n be 22*t*3\/6. Let x(o) = 3*o. Let j(i) = -6*i. Determine n*x(r) + w*j(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at most -11\/8307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 1. Let j be i(9). Suppose 0 = -j*f + 3*f + 10. Solve -5 = -f*p + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 264\/(-33)*(-52)\/32.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321784 = a + m - 18219, 4*a + 3*m = 1360009. What is a rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31803 + 31752. Let p be 8\/12*6\/(-14). Which is the closest to 1? (a) 4 (b) p (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*r**5 + 32*r**4 + 271*r**3 - 23*r**2 + 18*r - 57.\nAnswer: 1860*r**2 + 768*r + 1626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 4320 = 1224. Is f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/14480 and 43\/307080?\nAnswer: 111162960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17, -32, -43, -50, -53, -52?\n\"Answer: 2*y**2 - 21*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 1:46 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 7:37 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/68*3\/(24\/56)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 529344971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q + 369. Let d(s) = 772*s**2 + 4*s. Calculate k(d(a)).\nAnswer: 3860*a**2 + 20*a + 369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(-5*a**2 + 2*a**2 + a**2) - 3*a**2 + a**2 + 0*a**2 + 17 + 2*a**2 - 17 + 782*a**2 - 981*a**2 - 1604*a**2.\nAnswer: -1799*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 876 divided by 2890\nAnswer: 438\/1445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1539) - -2*sqrt(1539))**2 + (sqrt(19) - (sqrt(1216) + sqrt(19))**2) + -4.\nAnswer: sqrt(19) + 12304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 147901 times 0.1\nAnswer: 14790.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1218589 + 14?\nAnswer: 121859d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16357.\nAnswer: 11, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -56952126.7 - 52?\nAnswer: -56952178.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(416)\/(sqrt(24)\/sqrt(3)) - (sqrt(117)*-2 + sqrt(117) - (0 + -1*sqrt(13))).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -153, -151, -151, -153, -157, -163, -171?\n\"Answer: -q**2 + 5*q - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 2:36 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 20) + (-1 - (-21 + 18)) + 3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3646 - -3649. Sort 2, -2, 5, 6, h in decreasing order.\nAnswer: 6, 5, h, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 345168 and 16875?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 2*j + 4, 2578*y + 2 = 2580*y - j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -10116?\nAnswer: 10113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543*d**2 + 36 + 87 + 36 - 425*d**2.\nAnswer: -968*d**2 + 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-3))\/((-2)\/10). Let n = 841 - 1297. Let p be -4 - n\/33 - 6. Which is smaller: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130 - -150. Suppose g - 44 = -6*n. Solve n*d = 2*d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**8\/1344 + i**6\/480 + 3*i**2\/2 - 3*i. Let t(s) be the first derivative of o(s). Find c such that t(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18.896804102 and 0.2?\nAnswer: 18.696804102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(3828\/29)*(-8)\/(-2)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/15)\/((-72)\/108). Which is the nearest to n? (a) 4\/3 (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255081, -255096, -255097, -255072, -255009?\nAnswer: -254896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**2 - 131*i + 173. Determine j(-34).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1684 = -4*b + 678, -4*x + 5*b = -1341. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + 55521?\nAnswer: 55506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -30831.6 to the nearest one hundred.\nAnswer: -30800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, y: 2, x: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-3)*-2)\/(4\/(-2))*(-66436)\/(-3908)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 733179, -2, 2, 1 in decreasing order.\nAnswer: 733179, 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28420143 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-22 - 59) + 11\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 608 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 470327150?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6029842493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1532*r - 2705. Let c be p(-17). Round c to the nearest 100.\nAnswer: -28700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-2))\/(3*6\/(-72)). Solve 4*y + 24 = -2*w, -w + x*w - 4 = 2*y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + w**2 + 3*w - 4. Let k(t) = -3*t**3 + 4*t**2 + 10*t - 13. Let x(d) = 2*k(d) - 7*r(d). Calculate x(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2537187.\nAnswer: -2\/2537187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -59, -63, -71, -83, -99, -119?\n\"Answer: -2*h**2 + 2*h - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 304851.\nAnswer: 304851.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164233913?\nAnswer: 1783, 92111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z + 0 - 3 - 2 + 1 + 3*z**2. Let c be g(4). What is the greatest common divisor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2543893 and -8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = f - 2498, 2*f - 4987 = -25*p + 28*p. Calculate the highest common factor of f and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7831018 by 69.\nAnswer: -7831018\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.7, -0.2, 0, -0.5?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 6) in base 15?\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4256 = -66685685*p + 66685761*p for p.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2838798.\nAnswer: 2, 3, 23, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -12 + -67 + 94.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 17*m + 48 = 0. Let z(x) be the first derivative of 3*x**4\/4 - 7*x**3\/3 - x**2 - 7*x - 3. Is z(m) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -24. Let x(p) = -p - 1. Let m be x(-7). Calculate the remainder when f is divided by m + ((-2)\/(-5) - (-8)\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/4 + 15*n**3\/2 - 149*n**2\/4 + 30*n.\nAnswer: -n*(n - 24)*(n - 5)*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 2. Suppose h*d - 37 = -7. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**7)\/h)\/(h*h**24) assuming h is positive.\nAnswer: h**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -61*k**3 - 1406*k**2 - 73*k - 100. Give r(-23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1236\/408 + -11 - (-6 - (-10 - -12))?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k - 3*k - 5*k + (-3*k + 4*k - 2*k)*(0 + 0 + 1) to the form l + b*k and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 5:03 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2140 + 3619. Do 1479 and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18098*c**3 + 142410.\nAnswer: -54294*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 230 + -102. Let m = 70 - s. Let x = -12 - m. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2953 - 27954*h + 13972*h + 13976*h.\nAnswer: -6*h - 2953","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/1 + (-8)\/8. Solve 4*i - 10 = 7*w - 2*w, x = 5*w + 2*i + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -160828\/2615 >= -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-680)\/(-144)) + (-1)\/(-2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 49 = -0*r. Calculate the remainder when 73 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3650400 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + l + 24 = 6*l, 4*l = -4*r + 24. Let b be (r\/9)\/(40\/(-12)). Let h = b - 7\/30. Put h, 3, 4 in increasing order.\nAnswer: h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 58, -8\/7, -7.19, -4\/17, 5?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmrtmmgmmrommmtrrtmr. Give prob of sequence trgr.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + 349. Calculate the remainder when y is divided by 135.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1585, -1180, -505, 440, 1655?\n\"Answer: 135*i**2 - 1720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -69916505?\nAnswer: 349582525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12, 110, 326, 636, 1040, 1538, 2130?\n\"Answer: 47*i**2 - 19*i - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8391576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 110 - 28. Let z = d - -62. Calculate the highest common factor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - y + 63. Let f(v) = v**2 - 1. Let g be (-2)\/2*5\/(-5). Let h(s) = g*c(s) - 2*f(s). What is the tens digit of h(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -113, 11, -1, 0.1, 5.\nAnswer: -113, -1, 0.1, 5, 11, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-12)*z*z\/(z*z\/(z\/(z\/z**11))*z))\/(z**(-3\/11)\/z**(-5)) assuming z is positive.\nAnswer: z**(-74\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 5:41 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/4055 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 m when four letters picked without replacement from mmxmmmxxmmmm.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.247 - -0.847. Let r = 0.1 - -0.1. What is the second smallest value in -3\/7, -1\/4, c, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (sqrt(252) - (sqrt(252) + 2)*3) + 2)**2*-6.\nAnswer: -18162 + 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ummy when four letters picked without replacement from {u: 3, m: 11, y: 4}?\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/10151 and 34\/5.\nAnswer: 50755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 43*w + 42*w - 5)*(0 - 2 + 0) to the form l*w + y and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 2\/(-6)*-3)*-2. Suppose -2*x - 3*x = 4*m - 13, 0 = -d*m - 3*x + 11. Suppose -87 = -3*l + m*l. List the prime factors of l.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 992614.6 years in centuries?\nAnswer: 9926.146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (sqrt(209) - sqrt(209)*-2) - sqrt(209))*5)\/(sqrt(11) - ((sqrt(99) + (sqrt(99) - sqrt(99)*-3))\/sqrt(9) - sqrt(11))).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 - 6*n**3 + 2.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*f = 4*z + 12, -15 = 5*z. Suppose -3*a + 5*a + 3*s - 28 = f, -14 = -a - s. Calculate the least common multiple of 11 and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 54\/11*k + 27\/11*k**2 + 6\/11*k**3 + 6 + 1\/22*k**4. Factor f(r).\nAnswer: 2*(r + 3)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 262 = 16*f + 147 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57680 by -7.\nAnswer: -8240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 3*c**2 - 10*c - 2*c**2 - 4*c**2 - 8. Let r be t(-8). Solve 0*l = 2*l - r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 924 and 1716.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h**1)**24*(h*h\/h**(1\/2))**(7\/6))\/((h*h\/h**2)**(-2\/67)*h**1*h\/(h**(-1)*h)) assuming h is positive.\nAnswer: h**(383\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 4*b**3 - b**2\/2 + 109*b. Let p be 18\/4 - (-3)\/6. Is u(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 3*m**3 - 1 + 20*m + 2*m**4 - 9*m - 11*m to i*m**3 + b*m**2 + j*m**4 + x*m + d and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*y = -254*y - 7*h + 35, -20 = 2*y - 4*h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 21. Let b(x) = x + 11. Let s be b(a). Suppose s*w - 3*w = -42. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 531, 1062, 1593, 2124, 2655?\nAnswer: 3186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10*(-3)\/15*-2. Let i be -1 + 8 - (1 + -1). Let h = f - i. Let a(b) = -b - 1. What is a(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 + (22 - -26) + -16?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19445880 is divided by 9722897.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x = 0. Let d = -3.838 - -43.838. Which is the biggest value? (a) d (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (28\/(-8)*2)\/((-2)\/6). Suppose 13*g = o*g - 400. Calculate the highest common divisor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1445*i - 4*a + 37 - 101 = 1441*i, 60 = 5*i - a for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -180 and -0.3.\nAnswer: -180.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3419*r + 2*r**2 - 6*r**3 - 4*r**2 + 3420*r. Let s(t) = -11*t**3 - 3*t**2 + t. Calculate -3*s(m) + 5*w(m).\nAnswer: 3*m**3 - m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-322*s - 12*s - 172*s + 76*s)*(2 + 0 + 0) to the form k*s + i and give k.\nAnswer: -860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 0*v - 4*b = -24, -4*b + 21 = -3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111102 - -10?\nAnswer: 111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 242 + -2176\/9. Let l = -44983 - -44982.5. What is the closest to -2\/7 in l, v, 31?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-13))**(-3\/2)*(z*z**9*z*z)**(2\/11) assuming z is positive.\nAnswer: z**(477\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*l - 32*l - 36 = 27*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(50)*-2 + sqrt(50).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/1321 or 1?\nAnswer: -10\/1321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**6\/720 - 35*g**4\/12 + g**3\/2 - 21*g. Let b(j) be the third derivative of s(j). Let x(f) = f**2 + 33. What is b(x(k))?\nAnswer: k**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 f, and 1 k when three letters picked without replacement from bkmmfmbkbbkmggmbbmb?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -14*b + 1. Suppose -3*y = -6, -5*j + 4*j - y + 1 = 0. What is the remainder when -4 - -3*(-47)\/(-3) is divided by c(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijbnjb. Give prob of picking 1 b and 1 j.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, q: 2, f: 2, c: 2, a: 3, o: 1}. Give prob of sequence ofq.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2995?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3270\/1241079247 - 13964608933611386\/52876181318435. Let l = a + 3\/17042. Let u = l + 263. Find the common denominator of -133\/18 and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4452?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 12?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/6*(-345)\/230?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from nyygbuybyyyn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 - -3.7. Let q = f + 9. Let c = q + -13.999986. What is c rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90963 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -68*n + 8. Let v(h) = 2*h. Determine l(v(b)).\nAnswer: -136*b + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5910\/50 - 15072\/785?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - c + 3 = 0, 0 = 5*z + c - 3. Suppose 4*t + z*t = 4. Is t at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 554930?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21\/14)\/(30\/520). Let d(b) = -2*b**2 + 57*b - 132. Calculate d(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (104 - 37 + 32)*(-52*l - 2 + 40*l + 4) in the form p + w*l and give p.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = q - 4 - 14, 2*q - 12 = 2*a. Solve -2*g = q*g + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*-3 - sqrt(275))\/sqrt(5) + sqrt(55) + sqrt(55) + sqrt(220)*-2 + sqrt(55))\/(-3*3*(sqrt(1584)*-2 + sqrt(1584))).\nAnswer: -5*sqrt(5)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**3\/6 + 3*u**2 - u. Let q = 7 + -13. What are the prime factors of d(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -45280, -90558, -135836?\n\"Answer: -45278*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -926*r + 935*r. What is the remainder when 3520 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 387067.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 47426, 95436, 143450, 191468, 239490, 287516?\n\"Answer: 2*j**2 + 48004*j - 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen quarters of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 9*c - 14. What is a(-9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17a80b + -88?\nAnswer: -17a897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 3*f + 1. Let j be t(4). Let z be -6*(-2 + -1*j). Is z\/4 + (-5)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 414 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*k**2*n*u + 9*k*n*u - 100*k*u + 3522*n + u wrt k.\nAnswer: 18*k*n*u + 9*n*u - 100*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1659)\/(-2)*(-33)\/(1287\/(-52)). Let x = 286 + v. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from pwdjdw?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 28*o + 70. Does 19 divide g(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -231 (b) -5 (c) -11.1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sssssssssassssssssss.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1200 - -123?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 671479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)*-5*-6 - (5*sqrt(72) + sqrt(18)\/(3*sqrt(9))))*2 + -4)**2.\nAnswer: -2864*sqrt(2)\/3 + 256472\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 3. Let d be 2\/1*(-3)\/(-1). Let b = 6 - d. What is the smallest value in f, 3\/2, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, m: 2, x: 2, r: 2, f: 8}. Give prob of sequence qqf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -64. Does 8 divide (-766)\/(-12) + p\/90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 0 + 0*f**2 - f**2 + 0. Let q(j) = -6*j**2. Let v(l) = 16*i(l) - 3*q(l). Let m(n) = 5*n. Determine v(m(x)).\nAnswer: 50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -12 (c) -4 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/7 and ((-259)\/(-28) + -9)*(78 + 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 518774, 518675, 518510, 518279, 517982?\n\"Answer: -33*k**2 + 518807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -4. Suppose -r = f - 2, 4*r + f = -0*f + 14. Calculate the remainder when r is divided by (2 + 0 - -2) + k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-954)\/50 - -19)\/(3\/(-45))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00969611 rounded to five decimal places?\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 2387?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1471*t**2 + t. Let o(h) = 7*h**2. What is m(o(g))?\nAnswer: 72079*g**4 + 7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5535, -5166, -4797, -4428, -4059?\nAnswer: -3690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-2*sqrt(1372) - sqrt(28))\/(sqrt(2) - (sqrt(2) - (sqrt(128) + (sqrt(128) - sqrt(128)*-1)))))\/((sqrt(315)*1)\/(sqrt(500)*-1 - sqrt(5))).\nAnswer: 55*sqrt(2)\/24 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -7*j - 715. Let g be w(-103). Let r(x) be the first derivative of 2 + 7\/3*x**3 - 3\/2*x**2 - g*x - 1\/4*x**4. Calculate r(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 11:20 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(-2*sqrt(192) + -1 + sqrt(192) + 5 - (-5 + sqrt(192) + 0 - sqrt(192)*-2*3)))**2.\nAnswer: -4608*sqrt(3) + 49475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xime when four letters picked without replacement from xaaeaeimaape.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u = -29*u - 56*u + 421038. Does 23 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-84)\/42 - 238\/(-36) - -3 and 81\/1072?\nAnswer: 9648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 488*l**2 - 977*l + 4. Calculate s(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-14))\/((-3)\/(-21)). Let d(b) = -n*b + 0 + 3 + 2 + 4. Let f be d(-13). Solve -12 = -4*c - 0*c + 4*x, 5*c + 5*x = f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u - 5. Let i(g) = -2*g - 2. Calculate -10*i(f) + 4*x(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118743 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 243 - 238.04. Let u = -0.04 - z. Let l = u + 4.5. Which is bigger: 0.1 or l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 11*l**5\/3 + 8*l**4 + 4*l**3\/3 - 22*l**2\/3 - 5*l - 2\/3 = 0?\nAnswer: -1, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4\/35)*t**(1\/59))\/((t\/(t**41*t))\/t)**(-10\/17))**(-5\/12) assuming t is positive.\nAnswer: t**(290239\/28084)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3785)\/(-66616) - (-8)\/64?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b + 2. Let a be (-1 + 0)\/(8\/(-48)). Let z(k) = k**2 + 5*k - 7. Let j be z(-5). Let o(y) = 4*y + 2. Determine a*x(p) + j*o(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -2.6. Let u = -128.6 - -126.2. Let w = g + u. What is the third smallest value in 0.05, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * -258481.\nAnswer: 8529873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r + 239. Let l be q(47). Let t = l + 14. Solve -i - 5 = 0, -5*k - 4*i + 3 = t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/131 or -2\/45?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 12*d**2 + 2*d to the form i + u*d + n*d**2 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in -4\/5, -2, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 246227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**0)**49\/(y*y\/y**1)**(10\/3)*(y*y**(1\/3))\/(y\/(y**(-9)*y*y))*(y**(2\/3)\/y)\/((y*y**9)\/y) assuming y is positive.\nAnswer: y**(89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 2591 + 1106 = 0. Suppose k*n - 104*n + 195 = 0. What are the prime factors of n?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 12:48 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*p - 32*p - 1692 = -678 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**3 - 284 + 0*l**3 + 285 + 41993*l**2 - 2*l.\nAnswer: 4*l**3 + 41993*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 37*q + 117. Give c(-23).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200 + -10120111201?\nAnswer: -10120110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 936240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 4 (b) -2.6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -17, 4\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 6, -3*d - 2*f + 5*f - 9 = 0. Let q(s) be the third derivative of -s**6\/120 - s**5\/12 + s**4\/12 + s**3\/2 - 63*s**2. Determine q(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -357421 less than 1\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*d - 64637, -5*w + 11*d - 8*d = -323224. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7699 (b) 2\/717 (c) -2\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/(-4)*(-72)\/27. Let w = -21 - m. What is the units digit of (-3 + w)\/(2\/77)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-60)*-36)\/(12\/(-30)).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -499 - -520. What is the thousands digit of l\/(-28) - ((-40595)\/20 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**7\/3780 + y**6\/1080 - 3*y**4\/8 - 3*y**2. Let t(i) be the second derivative of s(i). Suppose t(h) = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36244\/(-38628) + 44\/(-814) - 8\/(-9)\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + s**2)*((-2 - 3 + 4)*(2 - 2 - 2*s) + s - s + s + (-68 + 29 + 157)*(2*s - 2*s - 3*s)) to the form m + y*s + q*s**2 + g*s**3 and give g.\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -afd + -118d?\nAnswer: -1c8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 17*d**2 + 3*d - 75. What is the remainder when 138 is divided by w(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 822934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -4. Suppose o*q - d + 68 = d, 4*d - 52 = 3*q. Let v be 3\/q - (-522)\/8. What is the highest common factor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -26, 5, 0, -5 in descending order.\nAnswer: 5, 0, -5, -11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84934, 169863, 254792, 339721, 424650?\nAnswer: 509579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -230 by -2.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4004)\/(-5852)*(-6)\/(-39).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 0*k**2 + 26*k + k**2 + 2*k. Let t(f) = -2*f. What is i(t(c))?\nAnswer: 4*c**2 - 56*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5193*j + 4319. Determine g(1).\nAnswer: -874","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 3. Let n be 4\/18 + (-238)\/(-63). Let v be h(n). Suppose v*i - 96 = i. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgggtggguttggg. What is prob of sequence tgtt?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40\/19*x - 2\/19*x**4 - 36\/19*x**2 - 16\/19 - 14\/19*x**3.\nAnswer: -2*(x + 1)*(x + 2)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4641469873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z + 1. Let y(v) = v**2 + 3*v - 2. Let w be y(-4). Suppose u - 2*u + 4 = 0. Suppose -u = j - w*d, -5*j = 2*d - 3 - 13. Calculate a(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19649858 and 3467622.\nAnswer: 58949574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.914429t?\nAnswer: 9914429000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2014, -2060, -2124, -2206, -2306, -2424, -2560?\nAnswer: -2714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (483\/(-12))\/((-546)\/312)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/2)\/(17\/1292). Calculate the common denominator of 70\/((-22)\/88 + q\/(-8)) and 61\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003504 rounded to six dps?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*t + 5. Let j(p) be the second derivative of -1\/3*p**4 - 3*p - 1\/2*p**2 + 0 + 0*p**3. Give j(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b + 60 + b**4 - 60 - 2*b**4 + 3*b**4 - 2*b**4 - 4*b**2 + 4*b**2 + b**4 + (-b**3 + 2*b**3 + b**3)*(-2 + 2*b + 2) + 0*b**4 - b**4 + 2*b**4.\nAnswer: 6*b**4 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 18. Suppose -22 = -r*q + 11. Solve -3 = 4*n - q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 68184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 16 = -2*h - 4*z, 11 = 3*h - z. Let m be 1*6 - 2\/2. Suppose m*p - 8*p = 0. Solve p = -3*s + h*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -0.0059, -0.2 in increasing order.\nAnswer: -0.2, -1\/8, -0.0059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45529 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 2. Let o be v(4). Suppose 0 = 4*g - l + 1, 4*g = -0*g - o*l + 14. Let q(s) be the second derivative of -s**3\/6 - s. Determine q(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3. Let i(k) = -k - 13. Let v be i(-12). Let y(o) = -1. Let m(l) = v*h(l) - 5*y(l). Let f(z) = z**2 - 1. Give 2*f(t) + 2*m(t).\nAnswer: 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(65)\/(sqrt(55)\/(sqrt(11) - (sqrt(11) + 2*sqrt(11)))) + -1)**2*-2.\nAnswer: 8*sqrt(13) + 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**4 + c**2)*(-4 + 0 + 2)*(4 - 2 + 1)*(-2*c + 1 - 1).\nAnswer: 12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11220 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 4. Solve -6 = t - v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21012 and 3264.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 167, 156, 145, 134, 123?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 1761459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 9*h - 6. Determine u(-11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/8 - 14\/(1 + -3)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 75.732?\nAnswer: 75.732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.475 + -0.025. Let f = 0.1 - 0.3. Sort f, -4, x.\nAnswer: -4, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 4. What is h(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 + 968*c\/3 + 117128\/3.\nAnswer: 2*(c + 242)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-6)\/(-612)*(0 - 3)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 143, 0, 2 in increasing order.\nAnswer: 0, 2, 6, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuu when three letters picked without replacement from {u: 3, t: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - g**4 + g - 1 - 2 - 3*g**2 + 8 in the form d*g**4 + i*g**2 + u*g + t + l*g**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y - 14 + 14 + (4*y + 0*y - 2*y)*(2 + 1 - 2) - 2*y + 2*y + 2*y + 13*y + 14*y - 24*y + (-2 - y + 2)*(-1 - 3 + 6).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/14004 and -85\/7002.\nAnswer: 14004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 222, 441, 660, 879, 1098, 1317?\n\"Answer: 219*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1500)*3 - sqrt(1500))*-5)\/((sqrt(96) + ((sqrt(96) + 1*sqrt(96))*-2 - sqrt(96) - sqrt(96)))\/(sqrt(800)*-2))*6.\nAnswer: -1200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -49*h**2 - 2519408*h + 2519408*h. Let u(b) be the second derivative of -b**4\/6 - b. Determine a(u(k)).\nAnswer: -196*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -17*y**6\/20 - y**5\/30 + 19*y**3\/3 - 281*y**2. Find the third derivative of r(d) wrt d.\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13\/21 - 2\/7. Let u(j) = 5*j**2 + 34*j - 67. Let x be u(2). Suppose 10*f + 21 = x. Which is the nearest to f? (a) v (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/4*(-70)\/(-4)*192\/(-1008)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by 44255?\nAnswer: -1\/835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 737, 620, 431, 176, -139, -508, -925?\nAnswer: -1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 5*c + 4. Let q be d(2). Let f(v) = -q*v + 309 - 309. Let w(p) = 2*p - p - 6*p. Give f(w(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1245087758141\/205898892 - 2\/17158241. Let x = -6059 - v. Find the common denominator of x and -89\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17189 + 6295?\nAnswer: 22473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3900)\/(-39650)*5490\/10\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 9:25 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/2754 and 28\/27?\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-44)\/(-10) + -5)\/(144\/(-80)). Which is the closest to -1? (a) h (b) -0.2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2006891.\nAnswer: 2006891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*m**2 - 114*m**2 - 16 + 16 - 135*m**2 + 0.\nAnswer: -390*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10012 (base 3) to base 4.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -139*s**3 + 3*s**2 - 6*s - 5. Let c be g(-3). Let z = c + -2276. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -3. Let n(l) = -5*l**3 - 3*l**2 + 7. Let m(d) = d**3 + d**2. Let v(j) = a*m(j) - n(j). Let k(s) = -s**3 + 2. Give 7*k(w) + 2*v(w).\nAnswer: -w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 17 = -n - 3*z, -z = -2*n - 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*h - 168*h**2 + 40*h - 31*h**2 - 21*h to the form s*h**2 + u*h + j and give s.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**6*v**3 - 469*o**6 + 3*o**2*v**3 - o**2 + 6*o*v**3 - o*v**2 wrt o?\nAnswer: -120*o**3*v**3 - 56280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**3\/4 - 3*w**2 - 57*w\/4 - 21\/2 = 0.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 9324*o + 129752.\nAnswer: 4*(o + 14)*(o + 2317)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -241 + 136. Is -7 - -7 - (1 + t) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16842, -16829, -16824, -16833, -16862, -16917?\n\"Answer: -x**3 + 2*x**2 + 14*x - 16857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3e36b (base 15) in base 6?\nAnswer: 4141245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 4 + -10 - (-2 + 7 + -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - 73*r + 579. Calculate g(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -7689 - -7688. Which is the closest to u? (a) 9 (b) -0.2 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - n = 68, 15*n = x + 11*n - 25. What is the remainder when 1519 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfdxfdddddxfx. What is prob of sequence dxxd?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 2.8520957?\nAnswer: -2.9520957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4)*(-8)\/18)\/(1452\/6534)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -2000*w + 1998*w - 16, -2*b - 4*w = 62 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-5\/6)\/i)*i\/((i*i\/i**(-17))\/i*i)*(i*i**2)**(-27) assuming i is positive.\nAnswer: i**(-577\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-68348808)\/(-504) - -2*2\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.3 + -0.7. Let m = -1\/69 - -71\/138. What is the nearest to m in -6, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/4))**(-22) assuming o is positive.\nAnswer: o**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 773260 divided by 3?\nAnswer: 773260\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -18. Let z be (0\/j)\/(0 - 1). Solve -b + 5*f + 20 = 0, z = 4*f - 0*f + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 470 divided by -1482.\nAnswer: -235\/741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*n**3*x**3 - 2*n**3*x**2 - 2*n**2*x + 2*n*x**3 + 11*n + 2 wrt n?\nAnswer: -360*n*x**3 - 12*n*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*((g\/(g\/(g*g**5)))\/g)\/g*g))\/(g*g**7))\/(g**5\/(g\/g**(-6)*g))*(((g*g**2)\/g*g)\/g**(2\/19))**(1\/63) assuming g is positive.\nAnswer: g**(-11915\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c = 5*m - 25, -3*m - 2*c = 10. Suppose m = 5*d + 25, -5*d - 99 = -4*w - 2*d. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 18 - (-4 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -185\/44?\nAnswer: -185\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.07 - 17.055566. Round w to four decimal places.\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k - k - k + 2*k. Let x(j) = -8*j. Determine x(l(g)).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360029.\nAnswer: 53, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2408767 + -4?\nAnswer: 2408763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + c = 23, 20 = 3*g + 3*c - 1. Let w(o) = 6*o**3 - 4*o**2 + 5*o - 4. List the prime factors of w(g).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 5 (c) -2 (d) -0.0057\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)\/(((x*x**(-3\/5))\/x)\/x))\/(x**6*x*x*(x\/(x**(-2\/13)\/x*x*x))\/x) assuming x is positive.\nAnswer: x**(-657\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63412.2ug in kilograms?\nAnswer: 0.0000634122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4267169 times 0.05\nAnswer: 213358.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130701?\nAnswer: 3, 19, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 1152?\nAnswer: 5\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6219638 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 9:13 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007376 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 12:56 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + 20 + -21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2268\/(-182) + (-78)\/(-169).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 1368 = -8*x. Let d = 261 - x. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11644, 46588, 104828, 186364, 291196?\nAnswer: 419324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d + 6. Let k(v) = 1. Let y(h) = -8*k(h) + l(h). Let x(p) = 18*p + 6. Let s be 65\/(-75) - -1 - (2300\/375 + 0). What is s*x(j) - 17*y(j)?\nAnswer: -6*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0*b - 5*b**2 + 52*b + 2*b**2 + 7*b + 2*b**2 to the form s + p*b**2 + n*b and give n.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3806 = -3800. Suppose j*u - 183 = -6*l, 2*l + 2*l + 183 = 3*u. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3584 greater than or equal to 3583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 + f + 3. Let v be t(-1). Let p(d) be the second derivative of 1\/20*d**5 + 1\/3*d**3 + 5\/12*d**4 + 0 - 2*d + v*d**2. What is p(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 2114?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/3)*r*r**(-1\/5))\/((r**3\/r)\/(r**(1\/2)\/r*r)) assuming r is positive.\nAnswer: r**(29\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5186 by -5186.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 7*q**4\/15 - 22*q**3\/5 + 72*q**2\/5 + q + 65. Determine w so that m(w) = 0.\nAnswer: 12\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -609 + 129. What is the greatest common divisor of 200 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/14 - (-1248)\/(-28). Let n be (-96)\/18*q*2\/4. What is the highest common factor of 24 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.18027384?\nAnswer: -0.072109536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 + 3*v**2 - 9*v + 3. Let s be b(-4). Let h = 36 + s. What is the third smallest value in h, 1, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z + 3*q - 9 = 0, 4*q = z - 13. Suppose -c = 7 - z. Let b(k) = -k**3 + 2*k**2 + 3*k. What is b(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003059621 rounded to six decimal places?\nAnswer: -0.00306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4309 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23.32739 or 3.7?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*b + 131*b - 406*b + 140*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1119, -1180, -1239, -1296?\n\"Answer: k**2 - 64*k - 1056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 6*k**2 + 2. Let w be q(-6). Suppose 4*i + 255 = 9*i. Let n = i - 47. Solve v - b = w, -n*v - b - 3*b = 32 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2. Suppose 3*f = -4*j + 7*j - 2724, -3*f + 2706 = 3*j. Let v(x) = -1 - 913*x + 1768*x - j*x. Calculate i(v(l)).\nAnswer: -5000*l**2 - 200*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -246*b + 3. Let u(v) = -17*v**2. What is u(d(s))?\nAnswer: -1028772*s**2 + 25092*s - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-2))\/((-20581)\/(-2057) - 10). Suppose -104*u + 115*u - t = 0. Calculate the greatest common factor of 51 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 369.94 + -366. Let r = b + 0.06. What is the second biggest value in r, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 2*(1 + sqrt(612)))*-5 + 1*(sqrt(612) + 1)*-3*6)**2.\nAnswer: 2688*sqrt(17) + 479872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5138378 to the power of 1\/2, to the nearest integer?\nAnswer: 2267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v - 2. Let d be l(2). Suppose 4*i = -5*c + 12 + 8, 0 = -4*i - 3*c + 28. Suppose -d = -n + i. Does 26 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 286 = -5*j, 5*j - 2*j + 544 = 2*r. Is r a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, b: 11}. Give prob of sequence bbbh.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11212 - -1000323?\nAnswer: 323111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5066104 a multiple of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -65, -2, -11\/2, 0, -1.3 in decreasing order.\nAnswer: 0.2, 0, -1.3, -2, -11\/2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 + 146. Let x = p - 51.9. Let z = x + 7. What is z rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32216588 to the nearest integer?\nAnswer: 5676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 + -13 + 5 + (4 - -2 - 7) + -5.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 6*s = -128. Put -4, s, 4 in descending order.\nAnswer: s, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 3\/5*t**5 + 9\/2*t**4 - 9*t**2 + 4*t**3 - 15*t + 61. Let h(b) = 0. Calculate b.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -339*n + 335*n. Let j(z) = -7*z + 5. Let t(b) = 4*b - 3. Let p(c) = -3*j(c) - 5*t(c). Let f be p(0). Sort n, f, -3\/4 in decreasing order.\nAnswer: f, -3\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5211254 - -0.2.\nAnswer: -5211253.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -11. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 11*v + 7*v = 0. Suppose 0 + 1\/2*w**4 - w**3 + 0*w**2 + v*w = 0. Calculate w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**4 - 10428*r**3 - 9335631*r.\nAnswer: 12*r**2 - 62568*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -271*x**2. Let q(m) = 295*m**2. Calculate n(q(k)).\nAnswer: -23583775*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, a: 6}. Give prob of sequence aasa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-3) - 2 - (-23)\/(2944\/(-480))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -53\/7 (b) 0 (c) -0.4 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 52026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 715.\nAnswer: 3575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -3*j**2\/2 - 1. Suppose -4*m + 24 = -4*t, -5*m + 2*t = 5*t - 54. Let b(v) = 5*v + 13*v + 2*v + m*v - 44*v. Give b(c(q)).\nAnswer: 45*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 21 = 2*w - 47, 2*w + 5*g - 60 = 0. Let a(j) = 5*j**2 + 3*j - 5 - j**3 + j - 2*j. Let q be a(5). Calculate the greatest common divisor of q and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/25389*21*(-2)\/(-2)*(-105)\/(-140).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 3*m**2 - 5*m + 2. Let x(s) = -5*s - 4. Suppose 19 = 3*c + 5*b, -2*b + 19 = -2*c + b. Let r be x(c). Let f be r\/14 - (-25)\/7. Determine g(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 5. Suppose -3*r + 3549 = -n*u + 2*u, 0 = -3*u. Suppose -5*g = -502 - r. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - j - 1. Let x(q) = -20*q + 3. Suppose 7265 = 39*p + 7226. Determine p*x(s) + 3*a(s).\nAnswer: 3*s**2 - 23*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640393848 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -22 + (-4 + 5)*-3. Let a be (-8)\/35 - (-5)\/t. What is the closest to 2\/7 in 0.08, 2, a?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2. Let y(i) = -40*i**2 + 2*i**2 - 13*i**2 - 13*i**2. Give b(y(w)).\nAnswer: -12288*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 5*b**2 - 3*b**2)*(76*b**3 - 14*b**2 + 14*b**2) - 57 + 9*b**5 + 57.\nAnswer: -523*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 3335*b**2 - 39480*b - 117900.\nAnswer: -5*(b + 6)**2*(b + 655)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5804897?\nAnswer: 7, 439, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 91\/21 - 2\/(-3). Suppose -p*o - 2*m + 34 = -5*m, 0 = -4*o + 2*m + 26. Let k(g) = -g**3 + 13*g**2 - 6*g - 12. List the prime factors of k(o).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c - 24 = 4*w, 5*c = 5*w + 45. Sort c, 63, 5, -5.\nAnswer: -5, c, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**4\/4 - 4*r**3\/3 - 7*r**2\/2 + 5*r - 33. What is q(4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 680\/7 or -11?\nAnswer: 680\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(17) + (sqrt(17)*-2 - sqrt(17))) + -2 + sqrt(425).\nAnswer: -5*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-9))\/(24\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*i - 21, -4*b + 3*i = 7*i - 24. Let x = -1 + 4. Suppose b*w = -6*r + x*r + 125985, -3*w - 84015 = -2*r. Round r to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16489843 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, -4, -26, -48, -70, -92?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = r, -2*m - 24 = r. Let u(f) = -f + 1. Let h be u(-5). Let n(i) = 3*i**2 + 6. Let j(d) = 6*d**2 + 13. Calculate h*j(z) + m*n(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 152 (base 6) to base 9\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-10)*-6*(-10)\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5 = -3*i, -2*g = -5*i - 1 - 1. Suppose i*p + 10 = 5*p. Suppose -41 = 5*f + j - 203, -p*j + 36 = f. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/13334 and -39\/1094.\nAnswer: 7293698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 11*p**2 + 12. Suppose 5*c = -2*z + 68 - 19, -c - z + 8 = 0. What is j(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iieiiieeieime. Give prob of sequence mi.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -122, -184, -246?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33318 + -1?\nAnswer: -33319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6*l**2 - 3*l**2 + 3*l**2)*(3*l - 2*l + 0*l) + 4*l - 4*l - 7*l**3)*(-7*l - 5 + 5) to p*l**4 + c*l + q + a*l**2 + v*l**3 and give p.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-9)\/y)\/y*y*y**(3\/8)\/y)\/(y\/(y\/y**9)*y**(-11)))**(-11) assuming y is positive.\nAnswer: y**(759\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 2*r + 2. Let b be y(-5). Let j = -95 - b. Does 18 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -10. Suppose 0 = 4*z - z - 12. Suppose -4*g - 4*f + 40 = 0, -z = -v*g + f + 4*f. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245d1 (base 15) to base 11\nAnswer: 7a22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001532369 rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 5*d**2 + 5*d - 2. Let w be a(-6). Find the second derivative of -2*x**w - x + 4*x - 5*x + 3*x**4 wrt x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 89345*q + 2.\nAnswer: -89345*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79*g**3 + 5*g - 82 wrt g?\nAnswer: -474*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - 4*m - m)*((6 + 1 + 0)*(54 + 19 + 6) + (-2 - 3 + 3)*(3 - 2 + 1)) to the form j*m + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3825 - 3824. Which is the nearest to 7? (a) s (b) 5 (c) -0.2 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/3)\/(1\/(-3)). Let f = 66.4 + -66. Let i(u) = -u**3 - u**2 + 3*u + 1. Let t be i(-2). Which is the third biggest value? (a) f (b) d (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hesih. What is prob of picking 2 h, 1 i, and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2482.25 decades to years.\nAnswer: 24822.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12526, -12522, -12516, -12508?\n\"Answer: x**2 + x - 12528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120372 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -195*k**3*p + 2*k**3*w + 294573*k**3 + 152*k**2 - 55*k*p*w + 158*k*p with respect to p.\nAnswer: -195*k**3 - 55*k*w + 158*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*a = 14 + 6, u - 3*a + 10 = 0. Let h = 0 - 3. Put h, u, 4 in increasing order.\nAnswer: h, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1095*c + 1165*c - 9800. Suppose 2*s + 111 = 5*s. Calculate the remainder when c is divided by s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -32*g**2 - 761*g + 26450. Calculate v(-43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11\/928 + 236783\/12064. Which is smaller: v or 21?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*b + 4*b + 2*g + 14, -4*b + g - 11 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (1 - (-4 - -1)) - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 47 (b) -28.7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3012, -3000, -2978, -2940, -2880?\nAnswer: -2792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 25\/2*(-4152)\/(-30). Suppose -3442 = -x - 3*x - 5*w, -2*w - c = -2*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - 1459.\nAnswer: -1498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-3 + 27\/12). Let g(l) = 2*l + 50. Suppose 0 = 3*a + 33 + 36. Let h be g(a). Solve h*s = 5*m - s - q, s + 4 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 7 - 2)*(-17*w**3 - 33*w**3 + 4*w**3).\nAnswer: -690*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 78, -182, 589.\nAnswer: -182, -4, 5, 78, 589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7199391 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 11969*g - 830636. What is r(-69)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -16) + -6 + 19\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-7))\/(693\/(-11319)))\/1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r + 1. Let q(l) = -l**3 + 9*l**2 - 7*l - 7. Let v be q(8). Let b be h(v). Find the second derivative of -t + 14*t**3 - t - 12*t**b wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 12 = -47. Solve -4*o + 9*o + j*q = -5, 3*o + 2*q + 3 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168379906.\nAnswer: 2, 283, 521, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5 + 8127*a**4 - 32448*a**3 - 32508*a**2 + 129840*a = 0. Calculate a.\nAnswer: -2, 0, 2, 4, 2705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 2 - 13)*(-4 + 2 + 0)*(-4*t + t + 2*t).\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4219666976844 + 0.7.\nAnswer: 4219666976844.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 180*k**6 - 105079*k**5 - 41718*k**2 + 195*k?\nAnswer: 21600*k**3 - 6304740*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4a0b3 (base 13) to base 14\nAnswer: 379a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 3 + 6 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 5*p**2 + 3*p - 2. Let o be a(-6). Let z = -13 + o. Let n be (0\/1)\/(-1 + -1). Which is greater: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14723, -4, -2, 5 in descending order.\nAnswer: 5, -2, -4, -14723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*l**3*n**2*v**2 - 2*l**3*n*v**2 - 5*l**2*n*v**2 + n**2*v**2 + 5*n**2*v - 15*n*v**2 wrt n?\nAnswer: -32*l**3*v**2 + 2*v**2 + 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -1.030206.\nAnswer: 5.15103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 60 + 0*a + 1\/3*a**3 + 0*a**2. Let j(u) be the second derivative of 3*u**4\/4 - 5*u. What is f(j(l))?\nAnswer: 81*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 83392245 and 9265805.\nAnswer: 83392245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 4, -1\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/5 of a centimeter?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 1 - 2 + 2 + u. Let v(j) = -26*j**3 + j - 6. Let f(p) = -6*n(p) - v(p). Find the second derivative of f(t) wrt t.\nAnswer: 156*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 28395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000103187 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13055431139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**6\/45 + z**5\/90 - z**2. Let g(o) = 0. What is o?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a**3 + 2*a**3 - 11*a**3 - 6*a**3 - a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.3, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 4956\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 7*v - 3. Calculate y(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 597, 1911, 4453, 8637?\nAnswer: 14877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13763913 a multiple of 1630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 77020 divided by 19255\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from gppptptyp?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 - l + 4. Let j be u(3). Suppose 5*c - j = 4*y, -4*y = 6*c - 4*c. Suppose 26*i + 93 = 119. Sort 7, y, i.\nAnswer: y, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 9*c - 23. Let k(b) be the second derivative of 0*b**2 - c*b - 1\/4*b**4 - 3\/20*b**5 + 0 - 1\/30*b**6 - 1\/6*b**3. Determine v, given that k(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/36 and 17\/3768.\nAnswer: 11304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = h - 79, y - 4*y + 237 = 3*h. Let a = h + -76. Suppose -p = -2*u - 301, -a*u - 1214 = -2*p - 2*p. Is 30 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -126, -425, -1010, -1977, -3422, -5441, -8130?\nAnswer: -11585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/756321 and -19\/2727.\nAnswer: 687495789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1258306276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 219*i**2 + 3*i - 219.\nAnswer: -3*(i - 73)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -3 - (10 - 0 - (-7 - -10))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 893, 1801, 2735, 3707, 4729, 5813, 6971?\n\"Answer: 2*v**3 + v**2 + 891*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214363?\nAnswer: 214363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3699*i + 59119. What is a(-16)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -226188*c + 1545. Let m(h) = 586*h - 4. Determine 1545*m(g) + 4*p(g).\nAnswer: 618*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 18 = -h. Let c be 2*-18*h\/12. Calculate the highest common divisor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxaxxxxaxxxxxxxaxxx. Give prob of sequence axaa.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1812 divided by -302?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 379*o + 1592. Calculate q(-7).\nAnswer: -1061","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -17*l + 1793. Suppose 16*q + 3 = l. Solve -7*w + 2*w = q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 752?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412*w + 699398 = 678386 for w.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txcttctcgccxg. Give prob of picking 4 t.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11476 and 114?\nAnswer: 34428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8606*s = -612313 - 334347 for s.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115094, 230169, 345304, 460529, 575874, 691369, 807044, 922929?\nAnswer: 1039054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 3:38 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*(sqrt(272)*-1 + sqrt(17)).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 12*q**4 + 68*q**3 - 24*q**2 = 0.\nAnswer: -6, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**4 - 19*q**2 - 7. Let k(f) = -2*f**4 - 9*f**2 - 3. Let n(d) = -3*g(d) + 7*k(d). Find the third derivative of n(w) wrt w.\nAnswer: -120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1172 - 1166. Put t, -5, -4, 5 in increasing order.\nAnswer: -5, -4, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 26. What is u(-40)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**4\/6 + 13*u**3\/6 - 2*u**2 + 28*u. Let o be d(3). Is o bigger than -1\/188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -21*l**2 + 522*l + 77. What is z(25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*r = -278, 2*h + 2*r = -r + 561. Let f = -1409\/5 + h. Let i = 0.2 - 0.1. What is the fourth biggest value in f, i, -4, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**2\/5 - 45832642*i + 2625788840875205 = 0.\nAnswer: 114581605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 + 257\nAnswer: 257.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at least as big as 723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -64*p**3 - 62*p**3 - 19*p + 190*p**3 + 5 + 25 + 18*p**2 - 65*p**3. What is r(17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48 + 6373?\nAnswer: 63bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 - 1. Let o be f(-1). Let p(l) be the first derivative of 0*l - 1\/3*l**2 + o + 1\/9*l**3. Factor p(j).\nAnswer: j*(j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 42\/1627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 6*x**2 + 2*x - 2. Let q be b(2). Solve -2*o - 5*a - 8 = 16, -o = 4*a + q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w - 63. Let l(b) = -4*b + 115. What is -3*l(n) - 5*x(n)?\nAnswer: 2*n - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tddtttdtttddtttt. Give prob of picking 4 d.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*q - 60 + 120. What is the closest to -4 in -2\/3, 2\/3, q, -3\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4481.8 + -4474.800025. Let b = -7 + c. What is b rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + n - 2*n = 0, n = 2*w + 12. Let v(y) = -2*y - 5. Let x be v(w). Let q = -22 + 20. Sort q, -1, x.\nAnswer: q, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 198090 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, u: 1, a: 1, o: 1, y: 1}. Give prob of sequence yo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(33\/(-90))*-8. Suppose o - 6*o + 415 = -4*r, -x = 2*r + 4*o. Let z = r - -111. Solve 4 = f - z, f = -4*q - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -120?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -891*b*z + 87472331*b + 1801*z wrt z?\nAnswer: -891*b + 1801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 7:00 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/286 and 23\/949780.\nAnswer: 10447580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 213 and 54?\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 0 = -4*k + 74, 46 = 2*k + 59*g - 63*g for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 792 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 61*a - 2*a + 47*a.\nAnswer: 111*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.07 - -1.47. Sort u, 854, 3 in ascending order.\nAnswer: u, 3, 854","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 835862*t = -835870*t - 35, d + 4*t = -15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 6 - 0 - (-300)\/(-75). Solve -h*p - i = -5*i + 10, -5*i + 15 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 1 + 1)*((0*f - 2*f + 0*f)*(-787 + 787 - 220*f) + 0*f**2 + 5*f**2 - 3*f**2) + f**3 + 2 + 2*f**2 - 2*f**2.\nAnswer: 885*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b + 0*b - 4*b)*(5 - 5 + 1)*(-21 + 10*b + 21) to the form v + c*b**2 + s*b and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12794746 divided by 52?\nAnswer: 6397373\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3726*x**2 + 3*x - 6. Let b be d(3). Suppose -8*s - b = -11*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 928.56 tonnes to nanograms.\nAnswer: 928560000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-12) + (-27)\/(-12). Sort -2, u, -7, 1 in decreasing order.\nAnswer: u, 1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -5 + -13 + (0 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.17 (b) -6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -20282\/7 greater than or equal to 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1263, 1455, 1685, 1953, 2259, 2603, 2985?\nAnswer: 3405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1963 + -5891\/3. Which is the second smallest value? (a) 0.4 (b) f (c) -1.3 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112761884.\nAnswer: 2, 17, 19, 87277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1857112330 to the power of 1\/3, to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 0*h**2 + 0*h + 0*h**4 - 10\/3*h**3 + 0*h**5 + 11 - 11\/6*h**6. Find the third derivative of g(b) wrt b.\nAnswer: -660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 24 = 2*s, 2*s + 21 = 3*s + 5*g. Suppose 2*a = -0*a + 4*b + 122, -5*a - b + 349 = 0. Calculate the remainder when a is divided by s\/(-8)*(4 - 28).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 65*r - 275 = -3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174 and 12.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-207)\/(-4)*(-12)\/(-3). Suppose -12*t = 923 + 266 - 133. Let k = t + i. What are the prime factors of k?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2059?\nAnswer: 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five halves of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -13. Let y(s) = 11*s - 1. What is the remainder when 40 is divided by y(j)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s + 2*s + 23*s**2 - 14*s**2.\nAnswer: 9*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/177 <= -59677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 434*d**3*x**3*z**3 + 5*d**3*x**3 + 3*d**2*x**3 - 2*d**2*x*z**2 + 36*d**2*x - 2*d*x**3 - 2*d*x*z**3 wrt d?\nAnswer: 2604*x**3*z**3 + 30*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m = -16. Let q be (m\/8*-8)\/2. Find the third derivative of -9*j**5 - 2*j**6 + 3*j**q + j**5 + 8*j**5 wrt j.\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 17*n**2 + 0 + 4 + 3 + 0 to the form d*n**2 + r + m*n and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 + -5516498777262\nAnswer: -5516498777261.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 - 3*w**2 + w**2)*(-2*w**2 + w**2 + 4*w**2 + (-1 + 2 - 2)*(-3*w**2 + 0*w**2 + 2*w**2)).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 331338 times 4\nAnswer: 1325352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 11:13 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/26 - (238\/26 - 4). Let w = -7.4 - -7. Sort w, 7, i in descending order.\nAnswer: 7, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4 (b) -4 (c) -1 (d) 9\/22 (e) 13\/6 (f) 54 (g) -2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 3. Let b be a(6). Suppose -4*y - p = -74, -b*y + 2*p + 48 = -p. What is the least common multiple of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 16460.3\nAnswer: 82301.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -5, 78028.9, 3, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2176*z + 208. Let y(q) = 128*q - 12. Calculate 6*a(b) + 104*y(b).\nAnswer: 256*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a - a**2 + 0*a)*(-3 + 1 + 1) + 0 + 0 - 2*a**2)*(0*a**2 + a**2 - 4*a**2).\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -32*c - 1578. What is the least common multiple of 582 and m(-50)?\nAnswer: 6402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 633585965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4410746, -17642965, -39696670, -70571867, -110268562, -158786761?\n\"Answer: -h**3 - 4410737*h**2 - h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46.7 + 1.7. Let m = 44.51 + q. Let v = m + -0.01. What is the third biggest value in v, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 12*u**2 - 3*u - 30. Let t be b(-6). Suppose 0 = 5*r - 4*z - 530, 4*r + 5*z - t = 9*z. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428003571?\nAnswer: 3, 67, 2129371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 455\/6 - 153\/2. Sort o, -1, -23.74.\nAnswer: -23.74, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.0639 tonnes to micrograms.\nAnswer: 66063900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.820015 rounded to 1 dp?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 - 2*p**2 + 202*p**3 - 105*p**3 + (p**2 - 2*p**2 + 3*p**2)*(2*p + p - p) + (2*p - 2*p - p)*(p**2 + 0*p**2 + 0*p**2).\nAnswer: 100*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58\/8*(-8)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3*134571.\nAnswer: -309513.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2435994 and 4806?\nAnswer: 216803466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-84))\/((-136)\/(-4760)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -66078, -132184, -198348, -264600, -330970?\n\"Answer: -5*v**3 + v**2 - 66074*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-11) + (-42)\/(-231)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -1271?\nAnswer: -1250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134827 is divided by 4993.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 161 + 1440. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pww when three letters picked without replacement from wdppwfdaappfpwa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6049 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 34 + -7 + -75?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 5:21 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -80, -100, -120, -140?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8560, 17120, 25680, 34240?\nAnswer: 42800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -3, 4618, 4, 2 in ascending order.\nAnswer: -36, -3, 2, 4, 4618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 + -0.6. Let v = b - 6. Let g = v + 5.9. Is 0.1 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 397*u. Let r(h) be the second derivative of -5*h + 1\/6*h**3 + 0*h**2 - 10. Calculate n(r(a)).\nAnswer: 397*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**7\/42 - o**6\/6 + o**5\/2 - 5*o**4\/6 + 5*o**3\/6 + 29*o**2. Find s such that l(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -9\/28 (b) -2\/9 (c) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 3*w = -8*n + 13 - 44, -2*n - 2*w = -3*w + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9449 = 22*v + 1243. Put 4, v, 2 in decreasing order.\nAnswer: v, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 963389621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/4 (b) -1 (c) 2 (d) -1\/2813 (e) -0.2 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/6 - 3657*f - 153447\/2.\nAnswer: -(f + 21)*(f + 21921)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 17 - (-12 - 6 - 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2016))\/sqrt(8).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43263186 to the power of 1\/2, to the nearest integer?\nAnswer: 6577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -7*n**5\/90 + n**4\/27 + 7*n**3\/27 - 2*n**2\/9 - 8*n. Factor w(j).\nAnswer: -2*(j - 1)*(j + 1)*(7*j - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-83028)\/48)\/(-37) + ((-42)\/15)\/(160\/100)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 13*k - 66. Let b be -5 + 17 + (-20)\/5. What is the remainder when 340 is divided by l(b)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (97*r + 48*r + 63*r)*(-1 - 3 + 2) in the form c*r + q and give c.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13*b. Let x(c) = -126*c - 2. Let z(m) = 10*o(m) + x(m). Suppose -2*t = -4*t. Suppose -3*y = 5*i - 13, 0*i - i + 2*y = t. Calculate z(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111101110100101 (base 2) in base 13?\nAnswer: -23426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049196353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -69599483+-478.7\nAnswer: -69599961.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, j: 3, e: 4}. What is prob of sequence rjee?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2044 = z, -3153 = -5*o + 3*z - 1101. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4, -1.9, 165, -0.5, -1 in increasing order.\nAnswer: -4, -1.9, -1, -0.5, 0.5, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (28 + -23 - (-1 + 14)) + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -1\/120*t**6 - 1\/12*t**5 + 2*t**2 + 110*t + 1\/12*t**4 + 2\/3*t**3 + 0. What is f(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 40. Let p = m - -9. Let y = p + 4. What is the nearest to -1 in 2\/7, 0.5, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117470 rounded to the nearest 1000?\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -328*n**5 - 2*n**3 + n**2 + 17*n - 6 wrt n.\nAnswer: -19680*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/8 + 15*b**2\/8 + 75*b\/8 + 125\/8.\nAnswer: (b + 5)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 123640 divided by -11240\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0, 0.4, -161, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = o + 14. Let d be (-14)\/(-10) - (-3)\/(5 - o). Suppose 3*s + 3 = -4*b, 8*s - 27 = 3*s + 4*b. What is the closest to d in s, -4, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*z - 203 = -207*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 0 - (2 + -3). Solve -5*q + w + 6 = -21, -a*w - 1 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16116144?\nAnswer: 2, 3, 11, 131, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 10*r + 90 = 0. Suppose -r*t + 22 = t. Let n(c) = -23 - t*c - 19 + 43. Give n(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -62*f - 718. Determine o(-13).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 1\/2*z**5 - 11\/8*z**4 + 1\/3*z**6 + 7\/4*z**2 + z - 7\/6*z**3 - 5. Let o(j) = 0. What is j?\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -212 - 6232?\nAnswer: -6444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 3. Suppose t = -l*t + 200. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17\/674 - 19117\/3033. What is the common denominator of n and 31\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 566, 388, -4, 1 in increasing order.\nAnswer: -4, 0, 1, 4, 388, 566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-168)\/20 - -8)*2\/(-4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -21. Suppose 5*o - 11 = w, w - j = -3*w. Calculate the common denominator of 59\/7 and (-3)\/(0 - o\/39).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261019894.\nAnswer: 2, 29, 59, 83, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1543322 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10136, -10141, -10150, -10163, -10180, -10201, -10226?\n\"Answer: -2*o**2 + o - 10135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 11242.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 + 7*h**2 - 8*h - 19. Determine j(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4147357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 62, 4441960, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 579107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -4\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -18 + 12 + (13 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -161\/310 + -5\/62. Let r = -7.13 + 4.13. What is the third biggest value in j, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11653918 is divided by 1144?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.118 * -1\nAnswer: -0.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.1. Let i = -0.1 + k. Suppose 0 = 4*y + 1 + 3. Do i and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m + 2. Let y(j) = -6*j. Determine y(t(b)).\nAnswer: 42*b - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1043293457 to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21 + 24*z**2 + 361*z**3 - 11*z**2 - 8*z**2 + 0*z**2 + 405*z**3 wrt z?\nAnswer: 4596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234*r - 3780 = 225*r. Calculate the lowest common multiple of r and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2 + 2*j + 0 + 3. Let q(w) = w + 2. Let v(h) = -2*h - 5. Let r(g) = 11*q(g) + 4*v(g). Determine -4*r(p) + 7*z(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/11 + 2517954\/16467.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -2 (c) -1.6 (d) -1 (e) -144.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -160*o*v*x**2*y - 19520*o*v*x**2 + 7*o*v*x - 9*v*x - 239*v*y - 2*x*y wrt x.\nAnswer: -320*o*v*y - 39040*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1779817, 3559635, 5339453?\n\"Answer: 1779818*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 807, 1093, 1571, 2241, 3103?\n\"Answer: 96*w**2 - 2*w + 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 18828.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 + g + 5. Let j be u(-9). Suppose -9*w = -w - j. What is the highest common factor of 20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 271 + -263. Suppose -6*d + 4*d + m = 0. Put d, -1, -16 in ascending order.\nAnswer: -16, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 5*i - 8*h, -2*i = 5*h + 9 + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2053 is divided by 344?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d. Let g(o) = -192 + 34 + 132 + 27 + 0*o - 9*o. Let q = -12 - -8. Give q*f(l) + g(l).\nAnswer: -5*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.51 - -0.09. Let d = 1.5 - l. What is the closest to 1\/3 in 3, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 518, 2\/11, -2\/3, 29\/6, 4\/3, 3 in increasing order.\nAnswer: -2\/3, 2\/11, 4\/3, 3, 29\/6, 518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1084 = -3*p, -4*w + 753 = 2*p - 115. Let n = -113 + w. Suppose 4*h + h = n. Calculate the remainder when 83 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 10*r + 136 = 0, -6281 = 2*p - 5*r - 6207 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000076362 to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52431451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -1*2) + -1. Let o = 1541.5 + -1541.3. What is the third smallest value in o, 0.12, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/576 + 1\/4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26\/109 - -4083\/19402. Let q = j + -405\/1424. What is the smallest value in -5, q, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/7)*j*((j**(-4\/3)*j)\/j)\/j*j*(j**(1\/4)*j)**(6\/17) assuming j is positive.\nAnswer: j**(179\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*(3 - (-312)\/20) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1325\/8 - 9\/(-24)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002632 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2. Let b(j) = -271*j. Determine c(b(r)).\nAnswer: -367205*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -590185 or -2950924\/5?\nAnswer: -590185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*k**2 + 9*k**2 + 9*k**4)*(234 - 57 - 67) + (-k**3 - 2*k**3 + 4*k**3)*(0*k - k - k) + 5*k**4 - 4*k**4 - 2*k**4.\nAnswer: 987*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - t**2 - 2*t - 1. Let p be m(-2). Let b = -16 - -11. Let x = p + b. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 4, h: 4, k: 3, q: 2, d: 1}. Give prob of sequence cc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-5 + (-6 - -7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 4*f**2 + 5*f + 3. Let b(m) = m**2 + 14*m + 7*m - 21 + 2*m - 2*m**2 - 103. Let n be b(15). What is q(n)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 15*p**3 + 30*p**2 - 30*p**2 to j*p + w*p**3 + t + q*p**2 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1041296255.29 + 0.051?\nAnswer: -1041296255.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(10)\/sqrt(5)))\/sqrt(2).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**3 - 39*k**2 - 18*k + 16. Let n be (-2522)\/130 + 6\/15. Calculate w(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1509 and 1156.1?\nAnswer: -1744554.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 2*q**2 + 5*q - 1. What are the prime factors of v(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -8)\/(-4)*2. Suppose -18 = a*l - 5*l. Let c be -2*(-3)\/(l\/2). What is the greatest common divisor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34, -139, -312, -553, -862?\n\"Answer: -34*z**2 - 3*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128 + 167. Which is greater: x or 36?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 2*b**2 + b. Let r be t(2). Let q be 84\/15 + r\/5. Let l be (-4)\/((-1)\/((-9)\/(-2))). Solve -q = 3*o - l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 3, -5 in decreasing order.\nAnswer: 4, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 45 = -4*g - 0*g, 0 = a - 2*g - 39. Calculate the remainder when a is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 2\/7, 3, 0.5, -286628 in decreasing order.\nAnswer: 3, 0.5, 2\/7, 0, -2, -286628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -30731*t. Let l(r) = 2*r**2. Calculate o(l(u)).\nAnswer: -61462*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 6*c**2 - 61*c + 137. Give y(11).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1131523 - 27?\nAnswer: 1131474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**4 + 132*c**3 + 891*c**2 - 15282*c - 50544 = 0?\nAnswer: -26, -24, -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 333 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 791762\nAnswer: 3\/791762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 32 = -x. Suppose -3*h - x = -253. Calculate the highest common factor of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 138.505437?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/17 (b) -1.9 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -x - 3. Let d = x + -3. Factor 1\/2*b**4 - 1\/2*b**3 + 0 + 0*b + 0*b**d.\nAnswer: b**3*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 198 = -x, 154 = 2*m + 2*m + 3*x. Suppose -4*f = 3*h + 8, -4*f + 4 = -4*h + m. Differentiate -6 + 4 + 1 - 3*n**4 + 9*n**h with respect to n.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1320312441 - 1320312441 - 2*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -15. Find the first derivative of -18*f**2 + 3 + 13*f**x + 3 wrt f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k**2 + 542*k - 130. Give n(-68).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 3. Let l be z(8). Suppose 126 = 3*w - 3*y, -l*y + 2*y = -4*w + 170. Suppose -5*v + 15 = 2*h, -5*h = 5*v - w + 14. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6480\/(-162)*4\/10.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-9 - ((-33 - -11) + 5)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 - 27 - 13*d - 9*d + 21*d in the form u*d + o*d**3 + f*d**4 + x*d**2 + a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133 + -218. Let b = d + 85.000393. What is b rounded to 5 dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfdddddddffdddd. Give prob of picking 1 d and 3 f.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1790 and 248223775?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 48\/(-8) - 4. Suppose -3*m + 3*j = -1764, -3109 = -5*m - t*j - 169. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 90 = 169. Suppose 0 = v - 3*i - 4, 5*v - 2*i = 73 - 14. Calculate the remainder when h is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 - 301?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v + 217. Let n be c(-48). What is the greatest common factor of n and 1600?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106577 (base 8) in base 10?\nAnswer: 36223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = -8 - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -11*u - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 291.1.\nAnswer: -1164.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 233*q**5\/20 + q**4\/8 - 77*q**3\/2 + q**2 + 376*q. What is the second derivative of c(d) wrt d?\nAnswer: 1398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -5. Suppose 3*i - 8*i - z + 213 = g, -2*i - 5*z + 99 = 0. Let w = -15 + i. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 632 and 395?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(5)*-1) + 3 + (-2*sqrt(99) + 2)**2.\nAnswer: -25*sqrt(11) + 403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(2248*h - 2902*h + 1875*h).\nAnswer: -1221*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.58 - -0.02. Let u = 0.6 - w. What is the third smallest value in u, -0.1, -2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - -9 - 3\/1. Suppose -5*b + 2*f = 5 - 0, -2*f + 8 = -q*b. Is (-15)\/6*(b + -35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 - 61. Suppose n = 7*m - 2*m - 775. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 1144, -24, -1, 9 in descending order.\nAnswer: 1144, 9, 3, 0, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.05 plus 0.09548068?\nAnswer: 219.14548068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11021122000 (base 3) to base 15\nAnswer: -19e99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 14 = 6*s. Suppose 477 = -s*b + 8*b. Let g = b - 42. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -402*o**3 - 8*o**2 + 11*o + 73. Is j(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -2\/9 (c) -5 (d) -2.7 (e) -64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 959d + 4?\nAnswer: 95a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2936551202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13357?\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 + 14 + 170)\/(-54) - (-4)\/54?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 0) + (-5)\/5. Suppose -26 = -q*n - 2. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319860.63 rounded to the nearest 10000?\nAnswer: 1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (8 - 0) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 9:39 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*w**2 - 53*w**2 + 103*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 157059883 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 850939854*i**3*s + 2*i**2*s - 364*i**2 - 32737*s + 8 wrt i?\nAnswer: 5105639124*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677719 is divided by 688?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-8) - (-2)\/(-4). Let d be 0 + (-3 + 1)*(-6)\/4. Suppose a - d*a + 104000 = z. What is a rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 360054464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 21 (c) 1757 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 3. Let b = u - -1.1. Let h(n) = 2*n**2 - 1. Let t be h(1). Which is greater: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t**0*t*t)*t)**30*(t**1)**(2\/53)*(t**(-3)\/(t\/t**(1\/14)))**(1\/13) assuming t is positive.\nAnswer: t**(-581311\/9646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.5 - -2. Let v be (15\/(-20))\/((-57)\/(-152)). Let d be (-195)\/(-117)*(v\/10 + 0). Put f, -2\/7, d in ascending order.\nAnswer: f, d, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-28))\/(2*2\/1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-1) + (-11)\/11. Which is the nearest to 0.2? (a) -143 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 10*s**2 + 6*s - 27. Suppose -32*w = -34*w - 18. Let u be o(w). Which is greater: -2\/47 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79088050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1024*y + 323 wrt y.\nAnswer: 1024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2. Let b(z) = 7*z**2. Let a = 3 + 2. Suppose a*i = 24 + 6. Calculate i*b(l) + 22*m(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-2))\/((126\/18)\/84)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2169 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 67, -4, -73, -140, -205?\n\"Answer: b**2 - 74*b + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98021 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 3.2, 3, -1, -0.01, -21\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40106 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.63 - 0.33. Let d = -24.3000103 + m. Round d to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**35*((u*u\/(u\/((u\/(u**(-3\/16)\/u))\/u)))\/u)\/u assuming u is positive.\nAnswer: u**(563\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + s**2 - s + 1. Let m be i(0). Suppose m = -x + 53. Does 23 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 20*l + 35. Let r be t(18). Let p = 70 - r. Is 5681\/26 + p\/(-2) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 + 10*n**3 + 3*n**3)*(-3*n**2 - 18*n + n**2 + 10*n).\nAnswer: -16*n**5 - 64*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 1414192.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 take away 13318?\nAnswer: -13318.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/27)*(y\/y**14*y*y*y)\/y)\/(y**(3\/2)*y*y**(5\/6)\/y) assuming y is positive.\nAnswer: y**(-358\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6619 and 1123.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 4) + 16 - 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**4\/4 - 7*r. Let g(l) = -8*l + 5. Let i(o) = 9*o - 6. Let x(u) = -6*g(u) - 5*i(u). What is x(h(w))?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/24 and -143\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168032.\nAnswer: 2, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 846*m**3 - 30*m**2 - 125636*m wrt m?\nAnswer: 5076*m - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**4\/32 + 3*h**3\/16 - 7*h + 2. Factor a(b).\nAnswer: 3*b*(b + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 1 + 5. Let x(m) = -m**2 - m + 1. Let n be x(d). What is the units digit of (n + -13)*3\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**2 + 5438*k + 34275 wrt k?\nAnswer: 4*k + 5438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -137.6604877 - -138.3605. Let t = -1.6 - -0.9. Let y = t + q. What is y rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1659, -4, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 + 38*g - 38*g + 3*g**4)*(8 - 45 + 17) as r*g + n*g**2 + h + f*g**4 + x*g**3 and give f.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1, -2493, 2\/5, -4\/5, -1 in descending order.\nAnswer: 1, 2\/5, 0.1, -4\/5, -1, -2493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6923 is divided by 2286.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 23.7\nAnswer: 94.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*w**2 - 91*w**2 - 880*w + 6*w**3 + 44*w**2.\nAnswer: 6*w**3 - 880*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 59.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y - 80. Let k be n(-27). Suppose 4*l = -7 - k, 0 = 2*d + 4*l + 4. Solve -5*a + 3 = -d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (59\/3 + -6)\/(9\/162). What is the greatest common divisor of w and 1640?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38? (a) 1\/3 (b) 1\/4 (c) -4 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.9 (b) 0 (c) 0.08252 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + -49 + (-24 - -3) + -4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11631105 to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 9*a - 10. Let i be c(7). Let u = 100 + -98. Suppose -k + 34 = -5*l, -i*k + u*l + 88 = -12. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (59149 - 59149 + 1427*d)*(-4 + 3 + 3) in the form q*d + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*h**3 - 732*h**2 + 11655*h\/2 - 22275\/2.\nAnswer: -(h + 99)*(4*h - 15)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 2*i + 2*i + 0 + 0 - i**2 + (i + 2*i - i)*(0 - 2*i + 0))*(-5*i + 5*i - i**2).\nAnswer: 7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*p + 13045 = 39463. Solve 57 = 22*f - p for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 510665451 divided by -3.\nAnswer: -170221817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.7 (b) 76961 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*((h*h*h**(-2\/7))\/h)\/h)*h*h)**(4\/23)*(h\/h**1*h)**4)\/((h**0*h*h**(1\/7))\/((h\/((h\/(h\/(h*h**(-1)*h)))\/h))\/h*h)**(1\/38)) assuming h is positive.\nAnswer: h**(919\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 5) + (29 - 25 - 15) - -53\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1. Let h(y) = 3 - y + 1 + 2*y. Suppose 0 = -2*t - 5*j - 11, -2*t + 10 = j - 3*j. Suppose 4*b = d - 13, 11 = -t*d + d - 4*b. Give d*h(a) - 6*l(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -15*d**4 - 39*d**3 + 342*d**2\/5 + 108*d - 648\/5 = 0?\nAnswer: -3, -2, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 35*q. Let w(v) = 30*v**2 - 5794. Determine w(y(u)).\nAnswer: 36750*u**2 - 5794","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -307209932481\/271 - -1133612845. Let w = 3142 + f. Is w equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20069 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 - -90. Suppose -90 = -3*j - h*q, -3 = -4*q + 9. Does 25 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 15, -784 = -2*d + 3*q - 103. What are the prime factors of d\/(-4)*(-32)\/12?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pizippppi.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 i when three letters picked without replacement from wrrrrrzrrzriw?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 106 - 1. Suppose -n - 9 = -w. Suppose -13*c + n*c + 77 = 0. Solve -7*q = -c*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (54\/(-90))\/((-2)\/7390). Suppose -7*j = -4*j - t. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2\/25, 3 in decreasing order.\nAnswer: 11, 3, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171)\/(-240) - (-3 + 33\/6)*(-8)\/(-50)?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12 and -5137.68?\nAnswer: 5149.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -120\/7*y + 4\/7*y**2 - 100 = 0. What is y?\nAnswer: -5, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 164*q - 3257 - q**3 + 6689 - 2587 wrt q.\nAnswer: -3*q**2 + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6062, 774, -3 in decreasing order.\nAnswer: 774, -3, -6062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2054 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 + -258298.623889?\nAnswer: -258300.823889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + -1 + sqrt(2))**2.\nAnswer: -190 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-435)\/(-9)*16\/(-360). Let q = -2111\/216 - s. Calculate the common denominator of q and 99\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 237\/33 - 4\/22. Is z greater than or equal to -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*f**2 + 6*f**3 + 23*f**2 - 2*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) -2\/13 (c) -6 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 44 = 5*a - 12, 40*a - 43*a + 49 = -5*g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15007 and 0.0051.\nAnswer: 76.5357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 33 (b) 2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 4*m + m)*(0 + 0 + 2*m + 6*m - 3*m - 4*m + (3 - 3 + 1)*(0*m - 5*m + 3*m)) to w*m + l*m**2 + t and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/5)\/(12\/16 + (-56)\/160)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31314310321 - -0.4?\nAnswer: 31314310321.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -752837952*l**3*x**2 + 12*l**2*x**2 - 7*l**2*x - 1245*l**2 + 24*l*x**2 wrt l.\nAnswer: -4517027712*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 182104011 to the power of 1\/2, to the nearest integer?\nAnswer: 13495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -701382809765 take away 0.2?\nAnswer: -701382809765.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 63339, -3, 0.6, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700) - (sqrt(1700) - 1*sqrt(1700))*4 - sqrt(1700))*3 + (sqrt(1700) - (-1 + 0 + sqrt(1700))) + 1)*-5)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4669, -3451, -1423, 1415?\nAnswer: 5063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -1498?\nAnswer: -1498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 389432820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 18\/12949?\nAnswer: 18\/12949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0471 - -5.9529. Let v = 67.8 - 62. Let j = u - v. Is 0 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48678 divided by -24339.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.5576812 to three dps.\nAnswer: 40.558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 72 = m. Suppose 0 = 5*x - 174 - m. Suppose -67 = -6*n - 1. What is the remainder when x is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 8 = -18*d + 14*d, 3*d - 2*m = 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m + 3. Let d be h(0). Factor 1\/2*t + d*t**3 + 0 + 1\/2*t**5 - 2*t**4 - 2*t**2.\nAnswer: t*(t - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 6:37 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11759*a**4 + a**3 + 2*a**2 - 42*a - 7619365 wrt a?\nAnswer: 47036*a**3 + 3*a**2 + 4*a - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*o**2 - 82*o**3 + 190*o**3 - 2 - 106*o**3 to y*o**3 + g + l*o + u*o**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.22, -2, 73\/7420?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -4, -5898849, -1\/3 in descending order.\nAnswer: 0.3, -1\/3, -4, -5898849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130)\/520*(1 - -1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-2*j + 1 - 1) + 0 + 0 - 2*j + (477 - 477 - 7*j)*(0 + 1 - 2).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*44\/((-968)\/110)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 214\/(-70))\/((-404432)\/36800 + (-66)\/(-6))?\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1132*m + 6465 = -63719 for m.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2 - 1 + 3*d as u + m*d and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llkkk. What is prob of picking 2 k and 2 l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 297438 to the power of 1\/2, to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**2. Let m(x) = -5*x**2 - 6*x. Let p(b) = -6*b**2 - 7*b. Let n(o) = -7*m(o) + 6*p(o). Determine n(f(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 6*s**3 + 8379*s**2 - 12579*s + 4194 = 0?\nAnswer: -1398, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 15) + 3 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 555 and 888?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - 3. Let k = h - -13. Solve 4*f = 2*c + 12, -k*c - 3 = f + 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*2\/4 - 0. Let u(i) = -i - 24. Let j(r) = -5*r - 108. Let m(x) = 2*j(x) - 9*u(x). Let h(g) = -g. Determine w*m(y) - 2*h(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 2. Let b be z(-2). Suppose -180 = -5*m + 5*o, -b*m - 4*o + 112 = -2*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**2 - 24*s - 12. Let v be o(7). Sort 1, v, 10 in ascending order.\nAnswer: 1, 10, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-9)\/216*12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -220 - -441\/2. Which is the second smallest value? (a) s (b) 1 (c) 10 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8591 divided by 2?\nAnswer: -8591\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 divided by 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-18)*(-18)\/(-4) + -3. Solve -l + 4 = a, -m*l + a + 0 - 8 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 5*u + u. Let g = 0 - u. What is the highest common factor of g and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1620)\/(-189))\/((-2510)\/(-15813)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 61614247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 686 divide 114473506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9851696 (base 10) to base 8\nAnswer: -45451460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 103. Let a = x - 86. Does 21 divide (-910)\/a - 68\/(-153)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727164 is divided by 180438.\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11965 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 5*c**2 + 4*c - 2. Let t be m(3). Let b be (t\/10)\/(6\/60). What are the prime factors of (18\/7)\/(b\/(-56))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p**3 - 2*p + 13. Let i = -3316 - -3322. Let a(u) = -4*u**3 - u + 7. Give i*r(k) - 11*a(k).\nAnswer: 2*k**3 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 15238?\nAnswer: 685710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13515 + 30?\nAnswer: 13545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-920)\/(-144))\/5 + 2\/9. Put 1, a, 0.1, -2 in increasing order.\nAnswer: -2, 0.1, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0.119, 1.1, -6\/17 in descending order.\nAnswer: 1.1, 0.119, -6\/17, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 9a1839?\nAnswer: 9a1835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let y be q(2). Let n = 52.2 - 52. Let u = 0.33 - 0.23. Which is the smallest value? (a) n (b) u (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5009402?\nAnswer: 2, 29, 86369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1870 - -2551. Calculate the remainder when m is divided by 86.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*v**3 - 38*v**3 - 44*v**3 + 201*v**3 - 36*v**3 - 35*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15069426 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*s = 0, -25 + 6 = -3*v + 2*s. Suppose 5*d = 3*c + 246, 2*c + 48 = d + c. Suppose 359 = v*r - d. Calculate the remainder when r is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 1 + 5. Suppose o - m*o = 0. Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + -6. Let f = s + 13. Is 31 a factor of (7\/(-14))\/(f\/432)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*d**3*m**6 - 99044*d**3*m**4 + 106*d**3*m**2 - 12*d**3 + d*m**2 + 11*m wrt m.\nAnswer: 720*d**3*m**3 - 2377056*d**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/27 and 35\/167325474.\nAnswer: 1505929266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 152, 294, 478, 698, 948?\nAnswer: 1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 331491147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - -0.2. Let u = -1 + 1. Let b be 2 - (1 - (0 + u)). What is the nearest to 1 in b, 0.1, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200551 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33676 + 33679.6. Which is the third biggest value? (a) -3 (b) i (c) -8\/9 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/5))**24*o\/o**(-1\/8)*o\/(o*o**(-12))*o)**(-38) assuming o is positive.\nAnswer: o**(-7087\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve 120*u + 193*u = -3*u - 8216 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124379 a multiple of 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 8 = -3*r, -2*r + 27 - 41 + 30 = -4*d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -219 and 0.28526222966.\nAnswer: -218.71473777034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57898287 and 734.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67505659?\nAnswer: 13, 5192743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 3:47 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 u when three letters picked without replacement from suddutssutuu?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30813.64 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17467\/10 - -1749. Calculate the common denominator of -49\/9 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.096 - 22.204. Is c at most as big as 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 3 - 10 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 385070?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135 + -111. Let l be 4\/v*-8*-3. Solve 2*u = -l*g + 6*u, 3*u + 3 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 12:40 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27311369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6\/13)\/x)**11)**30 assuming x is positive.\nAnswer: x**(-6270\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 7*n**2\/2 - 9*n - 8. Does 4 divide a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 3) + (3 - (-4)\/2). Suppose 18 = z - 2*z - 5*j, j = f*z - 14. Let y(v) = -v**2 + 7*v + 2. Let t be y(6). Solve -z*x - 2 + t = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x. Suppose 4*q - 3*w - 38 = 0, q + 26*w - 27*w - 10 = 0. Let d(p) = 16*p. Give q*r(z) - d(z).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -28*c + 491 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3401278591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 + 12 + 9*y**2 + 9 + 8 to the form m + n*y + v*y**2 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 426850807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*m + 12. Suppose 36*u = 39*u - m. What is the third derivative of 12*s**6 + 5*s**2 + 10*s**u + 2*s**2 + s**2 wrt s?\nAnswer: 1440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27968 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u - 4. Let v(w) be the second derivative of -5*w**3\/3 - 5*w**2\/2 - 4*w. Let d(y) = 6*m(y) - 5*v(y). What is the derivative of d(h) wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**4 + 15*d**3 - 2*d**2 + 1794*d + 897549 wrt d.\nAnswer: -8*d**3 + 45*d**2 - 4*d + 1794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 840110, 840110, 840112, 840116, 840122, 840130?\nAnswer: 840140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.967749 and -1677326.\nAnswer: -1677323.032251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - 3. Let x = 0.327 + 0.073. Which is the nearest to f? (a) 1 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4)\/q*q)\/q)\/((q**(-2\/13)\/q)\/q)*q\/(q*q**(2\/9))*q*q\/(q*q\/(q**(-2)\/q*q))*(q**6\/(q\/(q*q**(1\/12)*q*q*q)))**(-3) assuming q is positive.\nAnswer: q**(-6685\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17720*f**2*v**2 + 338*f**2*v + 22557*f*v + 5*f + 13*v**2 wrt f?\nAnswer: 35440*v**2 + 676*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-8235)\/13237)\/45)\/((-12)\/8)\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15, 84, 265, 612, 1179, 2020?\n\"Answer: 9*t**3 + 2*t**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40004 - 21073. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 5*o**3\/3 - 7*o**2\/2 + 2*o + 12. Let i = 28 - 27. Let q be s(i). Solve 2*g - 2*t + 24 - 4 = 0, -20 = g - q*t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 29 + 55. Let r(j) = j**3 - 15*j**2 + 16*j - 24. Let o be r(l). Solve -o*f - 2 = -6*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 424 - 838. Let b = p + 426. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 + 34 - 85*b - 63 to the form n + a*b and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/1*(-1)\/(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 o when three letters picked without replacement from {g: 1, o: 6, y: 3, h: 2, x: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, r: 7}. What is prob of picking 2 r?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -869*a - 1. Let c(u) = -u**3 + 35*u**2 - 2*u + 63. Let v be c(35). Is l(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7483?\nAnswer: 7, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/413 or 0?\nAnswer: -3\/413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*u - 4*u**3 - 42*u - u**3 + 44*u - u**2 - 24*u to the form w*u + r + c*u**3 + n*u**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -113.84 times -6\nAnswer: 683.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -151, -155, -159?\n\"Answer: -4*p - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 7*y**2 + 8*y - 2. Let h be k(6). Let w = h + -7. Differentiate 4*o - o - w*o + 3 - 2*o wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 7 = -3*w + 4*q, 4*w = 5*q - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 4*f + 2*f**2 + 11*f**2 - 5*f**2 + 17 + 0*f**2.\nAnswer: 8*f**2 - 4*f + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -7318.\nAnswer: -7318.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1596674735.\nAnswer: 5, 83, 3847409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (1 - (0 + 0)). Let o = p + 0. Suppose -o*s + 16 - 6 = 0. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 17. Let z(g) = 2*g**h + 0*g**2 - 1452*g**3 - 3*g**2 - 20 + 17*g. Let d be z(-15). What is d rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(8\/17)*k*k**(-9)*k*k**15*k\/k**36 assuming k is positive.\nAnswer: k**(-451\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*g + 48*g = 12. Let c(k) = -k. Let y be c(g). Is -2 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 122*y + 123. Let d be a(-1). What is the nearest to 6 in 2\/5, 5, d, 0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3226.262 nanograms in micrograms?\nAnswer: 3.226262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 21*a - 12. Let x be y(8). Calculate the greatest common divisor of 23 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 4:55 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -281, -615, -949, -1283, -1617, -1951?\nAnswer: -2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiicciiciiciiiicii. What is prob of sequence ciic?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.009*-0.736\nAnswer: -0.006624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**5\/30 + y**2. Let i(q) be the third derivative of q**5\/30 + 573*q**2. Determine i(u(w)).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 34965.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 + 224\/(-24). Let b be -6*(12\/x)\/1. Let l be b\/(-2*1\/(-20)). What is the greatest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 159573 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27950, 27970, 27990, 28010, 28030, 28050?\n\"Answer: 20*i + 27930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 5*d - 0. Let b = -3 + d. Let r(o) = -o**3 - 6*o**2 - 7*o - 6. Let c be r(-5). Solve -2*w + u = -3*w + c, -5*u = 4*w - b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 1. Let h(t) = -5*t**2 - 15*t + 25. Let p(b) = -2*h(b) - 50*n(b). Find the second derivative of p(f) wrt f.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + (sqrt(12)\/sqrt(4))**2*-3 + -5 + 0).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-71)\/(-2))\/((-594)\/(-36) - 15).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**5\/20 + 5*q**4\/12 - q**3\/3 + 5*q**2\/2 - 2*q. Let t be z(-4). Let j = t - 5. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 77 and 115329761.\nAnswer: 115329838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 13428 - 13428 - 15*z. Let o(f) = -f**2. Give j(o(w)).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1107 (base 8) to base 11\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*31*28\/3472*-588?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a944 + -4?\nAnswer: 1a940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1610, -1607, -1604?\n\"Answer: 3*j - 1613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, q: 7, s: 4}. What is prob of sequence ssu?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.33795cm to micrometers.\nAnswer: 593379.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-518)\/77*(-125)\/(-2). Let f = -421 - x. What is the common denominator of f and 77\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s - 6. Let g be (100\/(-30))\/((-6)\/9). Suppose 0*z + g*z - j - 30 = 0, 3*j - 30 = -5*z. What is the smallest common multiple of z and d(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.284138 and -0.4.\nAnswer: -0.1136552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 2, 0, -16 in decreasing order.\nAnswer: 2, 4\/5, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/156 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*o + 1275 = 9*o. Does 4 divide (10\/o + (-326)\/(-40))*60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 12:07 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57184 = 8*s + 22000. Suppose -5*d - s = -11*d. What is the remainder when d is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104195 and 84959.\nAnswer: 5522335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 322 - 497. Let p = 1227\/7 + n. Let i = -3 - -2.5. Which is the third biggest value? (a) i (b) -4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 48.9702. Let v = -0.0298 + f. What is the closest to 0.2 in -1\/2, -21, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699*v**3 - 172*v**3 - 524*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 29 = -4*x, -t + 3*x - 8 = -0. Sort -1, -4\/7, t in decreasing order.\nAnswer: -4\/7, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4578190039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/(k\/(k*k**11*k*k)))\/k))\/(k\/k**(-36)))**(-4\/5) assuming k is positive.\nAnswer: k**(196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 a factor of 43220736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -14*o + 36 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -969095937.9999963 - -969095985. Let g = -0.113 - -47.113. Let q = g - a. Round q to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - (-39820)\/924)\/((-11)\/(165\/6)).\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 330*o - 528. Let j(g) = g - 2. Let p(l) = 3*a(l) - 792*j(l). Let h(z) = 2*z. Determine p(h(x)).\nAnswer: 396*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate u**4 - 4 + u**3 - u**3 - 3*u**4 wrt u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-4) - (-155)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j + 13*j**2 - 2560*j**3 - 7 - 3*j + 2558*j**3 + 2. Give f(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18984)\/3616 + 109\/4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -13)\/(24\/16). Suppose -l*b = -0 + 8. What is the closest to 0.1 in 3, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795404?\nAnswer: 2, 198851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 + 11?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -11. Find the common denominator of (-1445)\/60 + n\/8 and (-1)\/1 + 48\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f. Let v be c(6). Let s be (10\/(-7))\/((-9)\/63). Find the third derivative of -s*p**5 - 6*p**5 + p**2 - 10*p**v + 16*p**5 wrt p.\nAnswer: -1200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 1\/2*j**2 + 0 + 2*j + 1\/12*j**4 + 2\/3*j**3 - 29\/30*j**5 - 7\/15*j**6. Let m(w) be the first derivative of l(w). Factor m(k).\nAnswer: -2*(k + 1)*(4*k - 1)*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*r**3 + 7*r**3 + 110*r**2 + 505 + 455 + 26*r**3 + 70*r**2 + 824*r.\nAnswer: 4*(r + 2)*(r + 3)*(r + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8600000 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 27?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7829 - -14156. Let o be 113758\/(-18) - 1\/(-3). Let m = o + h. What is the common denominator of -9\/5 and m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2470 - 5?\nAnswer: 2467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -8*s**2 - 18*s + 53. Let f(p) = 5*p**2 + 17*p - 53. Let l(t) = 2*c(t) + 3*f(t). Let k be l(9). Let g(j) = 8*j**3 - j**2 + j + 1. Give g(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 10*g + 5. What is n(15)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.797 + -0.003. Let r = 7 + j. Let t = -0.14 - -3.14. What is the nearest to 0 in 1, t, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7161646 is divided by 89.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 10*v**2 - 19*v + 248. What is l(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5048 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -3, -3\/5 in descending order.\nAnswer: -3\/5, -3, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*b**4 + 497*b**3 - 2*b**2 + 15119 wrt b?\nAnswer: -1128*b + 2982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*v + 118 = 0, 2*x - 5*v - 230 = -3*x. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -3 - -3) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 3*x - 2*w - 19, 2*w + 49 = x. What is the third derivative of 52*o**3 - 586 + 2*o**2 - 595 + 1181 - x*o wrt o?\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 4. Suppose -9 = 5*d - 2*d. Let a be o(d). Put 5, -1, a in ascending order.\nAnswer: a, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 + -25. Let k(f) = f + 87. Calculate the remainder when k(15) is divided by t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 2:43 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + 6 + -8 + -8. Which is the third biggest value? (a) 0 (b) 3\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Let n(j) = j**3 + 3*j**2 - 4*j + 3. Suppose 3*b - 52 = 16*b. Let l be n(b). Find o, given that o**l + 1\/5*o - 6\/5*o**2 + 0 = 0.\nAnswer: 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 1.1?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -16950, 5, -3 in decreasing order.\nAnswer: 5, 2, -3, -4, -16950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -58. Suppose 0 = 4*m - 5 - 3. Let c be m\/11 - (-516)\/66. Calculate the greatest common factor of h and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 43 - 25. Let j(v) = -v**2 - 17 + u. Let z(r) = 7*r**2. Give z(j(p)).\nAnswer: 7*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - a**2 + 2 + (0*a + 0*a - 2*a**2)*(-2 + 2 - 2) - 2*a**2 - 2*a**2 - 3*a + 5*a**2 + a**2 - 34*a + 33*a + a**2 - 68 as h + t*a + i*a**2 and give h.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 10*d**2 - 10*d + 10. Let w be o(9). Which is smaller: w or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**4 + g**4 - g**4 - 4 + 4 - 4*g**4 + (-g + g + 2*g**2)*(-2 + 2 - g**2) in the form j*g + r*g**3 + b*g**2 + q*g**4 + d and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -40, -32, -30, -40, -68, -120, -202?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4 = -0, -15*i + 17*z + 11*z - 201 = 19*z for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -19. What is the greatest common divisor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + -4.7. Let z = s + 13.7. Which is the nearest to z? (a) 1\/4 (b) 0.5 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011110 + 11?\nAnswer: -1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.2, -0.38 in increasing order.\nAnswer: -0.38, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.75541 - 0.24459. Which is bigger: 66\/13 or n?\nAnswer: 66\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgklgloggkkkgghg. What is prob of sequence kk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1571 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 1 (c) -5 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 43*o**2 - 83*o - 430. What is the hundreds digit of i(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*2\/(-6) + 43. Let f be (0 + 3 - 1) + p. Suppose 97 = 3*s + 4*z, -4*s - 2*z - f = -173. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m**2 + m + 12. Give w(3).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a**2 + 51*a + 1. What is u(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -866, -583, -292, 7?\n\"Answer: 4*w**2 + 271*w - 1141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-9) + 6\/54\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1282)\/(-6))\/((-15)\/(-135)).\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 3*i - 108. Is -32 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 15*u**2 + 35*u - 9. Let c(t) = -7*t**2 - 17*t + 5. Let z(q) = -13*c(q) - 6*p(q). Give z(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -260056221 or -260056222?\nAnswer: -260056221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (1 - 7 - (12 + 8 - 14)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 1168\nAnswer: -1\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*m**2 - 145*m - 10.\nAnswer: 5*(m - 2)*(15*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - k. Let f(o) = 6*o**2 + 6*o**3 + 4*o - 6*o**2. Suppose 3 = -p + 2. Give p*f(r) - 4*h(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5800.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -389322 divided by -6\nAnswer: 64887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and -6.8012.\nAnswer: -0.8012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 times -8.44?\nAnswer: -379.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 3*j**2 - 2*j - 2. Let x be f(-3). Let m = 0.1094 + -8.1094. Sort 0.3, -1\/3, m, x in increasing order.\nAnswer: m, -1\/3, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10b - -4?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*z - z. Let q be (-18)\/(-45) + (-3)\/z. What is the lowest common multiple of 6 and 2 - (-3)\/q - -2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**3\/5 + 19114*f**2\/5 + 732824*f = 0.\nAnswer: -188, 0, 9745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*q + 1354 + 8876. Are q and -319 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 10. Let c be n(7). Let j be (-2)\/c + 66\/(-18). Let s = -2 + 2. Put -4, j, s in increasing order.\nAnswer: -4, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94913.937 nanoseconds to days.\nAnswer: 0.0000000010985409375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 31. Let y(m) = 15*m**3 - 21*m**2 - 15*m + 21. Let l(a) = -3*a**3 + 4*a**2 + 3*a - 4. Determine p*l(f) + 4*y(f).\nAnswer: -3*f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6315, 50694, 171193, 405870, 792783, 1369990, 2175549, 3247518?\nAnswer: 4623955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x - x - 3)*(0 - 1 - 3)*(1 - 4 + 19).\nAnswer: 128*x + 192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - g - 1 + 9 = 0, 14 = 3*p - 4*g. Let z be 0 - (2\/4)\/(9\/(-18)). Solve -5*o - z = 4*i, 5*i = o - p*o + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b. Let c(v) = -47*v - 1. Let z(k) = -97*k - 2. Let t(f) = 5*c(f) - 2*z(f). Give t(u(p)).\nAnswer: 123*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2504, 2487, 2456, 2411, 2352, 2279?\nAnswer: 2192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06724715 to 3 decimal places.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + p - 1. Let f(y) = -18*y**2 - y + 2. Let u(x) = -f(x) - 4*n(x). Is u(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (6*(-2 + sqrt(6480)))**2) + 3.\nAnswer: -933709 + 20736*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 27*i**3 - 81\/2*i**2 + 3\/5*i**5 + 0*i - 27\/4*i**4 + 34. Let q(d) = 0. Calculate d.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*36\/(-1134)*(-2)\/4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fkf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 24, -5*f + 2*s - 771 = -765. Solve -2*n + 1 + 7 = -5*u, 2*u + f = n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*x + 3*x + 35*x + 33 - 14*x - 54.\nAnswer: -90*x - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -1 (b) 3 (c) 16 (d) 1\/3 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(153))\/sqrt(9) + 5 + (sqrt(136)*1)\/sqrt(8).\nAnswer: -5*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/39 + (-6310)\/650 - -9. Which is the nearest to -0.05? (a) 2\/7 (b) -2\/17 (c) m (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.159526 and 2.\nAnswer: 1.840474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/8*(-6)\/105*-5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 686 and 111426.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 6:42 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 128786?\nAnswer: 128782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 8*t - 6. Let a be r(7). Let f(b) = 10*b + 4. Let l(m) = 51*m + 21. Let s(w) = -21*f(w) + 4*l(w). Calculate s(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20579?\nAnswer: 13, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -16\/1333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15*40\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - z**2 + 20*z + 4. Give p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11118 + 11338. What is the greatest common factor of 1012 and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.227, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 17 - 11 + n)*(3 - 3 - n**3 + (2*n - 2*n + 2*n)*(-2*n**2 + n**2 + 3*n**2) - 2*n**3 - 1 + 1).\nAnswer: 2*n**4 + 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 3*c + 14, -4*c - c + 3*p - 16 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**3 + 18*l**2 + 21*l - 180 = 0. Calculate l.\nAnswer: -3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - 2*l**2 + 4*l)*(5429*l**3 - 867 + 870 - 4640*l**3).\nAnswer: -1578*l**5 - 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*y + 28 = -378*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000053788843 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 9:15 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -57. Calculate the greatest common divisor of w and 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 3 - 3)*(0 + 0 + 2*j**3) + (-2*j + 3*j**2 + 2*j)*(2*j**2 + 2*j**2 - 2*j**2).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 4044 = 10182. What is the derivative of -8*w**4 + a*w - 64 - 682*w wrt w?\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 18*p - 32*p + 22*p. Let r(u) = 3*u - 2. Let i(k) = -k - 1. Let f(l) = 3*l + 2. Let o(x) = -2*f(x) - 5*i(x). Let q(v) = 4*o(v) + 2*r(v). Give q(s(c)).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.74 - -0.851. Let s = k + -0.112. Round s to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-4 - 56)\/(3 + ((-3)\/6 - 4)) and 35.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 757 + -753. Let a = 2.03 - 2. Sort -0.4, n, a in descending order.\nAnswer: n, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from {l: 1, y: 2, n: 1, o: 1, r: 3, a: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -331 equal to 7575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*7\/(-63))\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49055?\nAnswer: 5, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 12*f**3 + 3*f**2 - 44*f + 5. Let i(w) = 9*w**3 + 2*w**2 - 35*w + 4. Let u(h) = 5*i(h) - 4*z(h). Determine u(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4 - -5) + 2 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -722*t - 468 = -696*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjpw when four letters picked without replacement from apajwya.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/127 and -74\/1143?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35948 and 514111272?\nAnswer: 514075324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66057257?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**5\/10 + 11*n**4\/12 - 49*n**3\/3 + 135*n**2. Let i be g(4). Calculate the highest common divisor of i and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**2 - o**4 + 79*o**4 + 2*o**4 - 7*o**3 - o**2 - 29*o**4 to t*o**2 + r*o**3 + y*o + k*o**4 + d and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c*c**17*c*c*c))*c*c*c*c**1\/c*c**(-11)\/(c**(-4\/3)\/c))**(-3) assuming c is positive.\nAnswer: c**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -be (base 15) to base 8.\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1618 (base 14) to base 9\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4203 and 35892219?\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68676678 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156765 is divided by 164?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 1. Let p be y(-4). Suppose -18 = -p*x - 6. Solve -2*l = -3*l + x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 58 = 3*o - 56, 0 = -o + 3. Let m(k) = -k**3 - 2*k**2 + 3*k + 7. Let p be m(-6). Let c = p + q. What is the highest common factor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133848\/5 or 26769?\nAnswer: 26769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 + -35. Let r(p) = 32 - y + p. Let u(x) = 4*x. Determine r(u(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -23*z - 3*z**3 - 106*z**2 + z**3 + 82*z**2 + z = 0.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 85236424.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -3\/2*a**2 + 0*a**4 + 2 - 2\/3*a**6 + 0*a + 0*a**3 + 0*a**5. Find the second derivative of j(u) wrt u.\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5375 + -5057. Calculate the remainder when 963 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/83 and -40\/3071.\nAnswer: 3071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/22 (b) -0.2 (c) -5 (d) 5.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 12:21 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**5\/60 + a**4\/8 + a**3\/2 - 8*a**2. Let h(x) = x**2 - 2*x - 2. Determine 3*h(j) + 2*m(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 - 173. Let d = g - -111.31. Let p = 4.30701 - d. What is p rounded to 4 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49349 or 5\/6?\nAnswer: -49349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 459 + -337. Differentiate -2*q + 5*q - 5*q**3 + x + 3*q - 30 - 9*q**3 with respect to q.\nAnswer: -42*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*r + 17. Suppose -r = -b + 2. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91376*h + 0 + 0 - 45693*h + 437*h**2 - 45683*h.\nAnswer: 437*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-45)\/(-6) - 3)*(-2)\/(-12). Which is the closest to -2? (a) v (b) 0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -57064501 less than -57064506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15106675732 plus -0.1?\nAnswer: -15106675732.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 1 + 1)*5 + 0 + ((1*(sqrt(204)*-1 + sqrt(204) - sqrt(204)))\/sqrt(12))**2*6.\nAnswer: 5*sqrt(17) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 51709432 to the nearest 10000.\nAnswer: 51710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 + -0.5. Let z = 0.7 - -1.3. Let i = 4 - z. Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**5 + 5*i**4 - 57*i**3 + 95*i**2 - 44*i = 0?\nAnswer: -11, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((6*(sqrt(28) + 1) - (sqrt(700)*5)**2) + 4).\nAnswer: -34980 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15 - 414\/(-24))*-3. Let d = 85\/6 - 35\/3. Which is the closest to -2\/7? (a) -2\/5 (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -125 + 32 + 112 - (10 - -2 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 5 - -2) + (10 - 7) - -15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 751\/32 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 16, -10 + 2 = -5*x - 3*l. Let n(t) = 109*t - 3 - 299*t + 186*t. Let p be (-6)\/33 - (-171)\/33. Let f(u) = 3*u + 2. Give p*f(b) + x*n(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 divided by -9171.\nAnswer: 106\/9171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -1a049?\nAnswer: -1a047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-143)\/39 - (-10 + (-88)\/(-12) + 1). Suppose 3*q = -2*z - 2*z + 19, -17 = -4*q + 3*z. Put u, -5, q in ascending order.\nAnswer: -5, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 - 128 - (1 - -5) - -16.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.033 + 1.633. Let u = 0.02 + -6.02. Let b = u + 5. What is the closest to z in -1\/7, b, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*j - 58*j - 451 + 896 - 446 to the form c + y*j and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**4\/6 - 11*a**3\/6 + 5*a**2 - 12*a. Let p be c(-13). Let s = -100 - p. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 163.244 + -163. Let i = r - 0.344. Let h be (2\/(-3))\/((-16)\/(-12)). Which is the second biggest value? (a) h (b) -2\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 g, and 2 x when four letters picked without replacement from rxchrhgrhxh.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**3 + 115209*l**2*o - 273493*o with respect to l.\nAnswer: 3*l**2 + 230418*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*b**3 + 5*b**2 - 21*b**3 - 3*b**2 - 2*b**2.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1298 divided by -248531.\nAnswer: -1298\/248531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 13. Let c be d(0). Suppose -z - 3 = -u - 6, -5*z + 2*u + 15 = 0. Suppose 0 = z*y - 40 + c. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 - 29*x**3 + 46*x**3 - 26*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -11*i - 3. Let h be ((114 + 16)\/(-26))\/(5\/(-2)). What is j(h)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-26) + 76\/988?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9999193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 37 = -2843. Calculate the greatest common factor of f and 1905.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -3. Sort 0.5, -0.3, m.\nAnswer: -0.3, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 5:06 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -v + 1506, 2*v + 3*v = -2*y + 7557. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 102*p**2 - 76*p - 338. Let z be c(-5). What is the greatest common divisor of z and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from venvnvnvenjlveeenvvv. Give prob of picking 2 n.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 11 + 3616*z**2 - 12 - 9.\nAnswer: 3616*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25165343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*c = -651 - 1019 - 2682 for c.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 7:30 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -21*y - 5. Is h(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -146 - -136. Let g(u) = 8*u + 75. Let l be g(t). What is the second biggest value in l, 0.05, 0.9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.039? (a) -3\/7 (b) -3\/110 (c) 1 (d) 50.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 319, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 40 = 2*q - 0*q, q + 12 = -a. Let h be q\/(-3)*(-81)\/(-12). What is the remainder when 16 is divided by -8 - h\/(-6) - (-12 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -299060 - -2.99\nAnswer: -299057.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (678\/(-24))\/((-5)\/20) - (1 + 0). Solve -m = 3*f - 106 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 472 and 555356616?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.61 minus -17481?\nAnswer: 17482.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-11) - (-29)\/(638\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**45\/(((j**(2\/21)\/j)\/j)\/j*j**(-2\/3)))**(-38) assuming j is positive.\nAnswer: j**(11020\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/20 and -45\/1007888?\nAnswer: 5039440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 12:01 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*g - 56*g - 45 = 0. Let d(z) = 21*z + 115. Let n(a) = 21*a + 113. Let t(u) = g*d(u) - 6*n(u). What is the first derivative of t(y) wrt y?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/11)\/(63 - (-56000)\/(-880)). Factor 116\/7 - w*h**2 + 54\/7*h.\nAnswer: -2*(h - 29)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.570002624 + 9.57. Round s to 7 decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-46)\/8 + 2\/(-3 - 5). Sort -4, y, -12 in descending order.\nAnswer: -4, y, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**2*q**3 - 445380*l**2*q**2 + 1201050*q**4 wrt q.\nAnswer: 18*l**2 + 28825200*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, l: 7, w: 2}. What is prob of sequence ww?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.32 + -0.318. Let m = f + 0.0011. What is m rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1526224 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 14. Let d be l(-10). Let o be 4 + d + (5 - 2). Find the third derivative of -13*b**2 + 3*b**o - 5*b**2 + 7*b**2 - b**3 wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/184 - -975\/2024. Find the common denominator of 1 - (2 + (-11)\/2) and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -870, -891, -912, -933?\n\"Answer: -21*y - 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.8 - -1.2. Let f = 4 - d. What is the second smallest value in 1, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/(16\/20)*(-156)\/(-26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 12\/5*k - 2\/5*k**2 - 2 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65 - 56?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 270*s - 1078. Calculate u(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 6 - 70. What is the lowest common multiple of w and 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from ooftm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**3 - 33*j**2 - 72*j + 108 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2999755 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -516.4 - -520.4. Which is bigger: 562 or x?\nAnswer: 562","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {t: 1, u: 1, v: 1, a: 5, r: 1}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -2*b + 54. Suppose -4*n + r + 3*r + 420 = 0, -b = -n + 5*r. Suppose 3*l + n = 6*l. Is l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2))**(-32)*(l**(-4))**46 assuming l is positive.\nAnswer: l**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18.809755 + -10.209681. Let h = -8.6 + a. What is h rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 100, -1.2 in ascending order.\nAnswer: -2, -1.2, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6131 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 58 and -5147044.\nAnswer: -5146986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 94*h - 44 = -5*m + 33*m + 93*h, 0 = m + 3*h - 41 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -943*f + 1777*f + 25020 = 0 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**2 - 2. Let r(w) = 263*w**2 + 80. Let y(z) = -525*z**2 - 161. Let g(f) = 7*r(f) + 3*y(f). Calculate 77*c(n) + 2*g(n).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-48 - -46 - (-13 + -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/5 - 126*b**2\/5 - 1764*b\/5 - 8232\/5.\nAnswer: -3*(b + 14)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 609 + 14.7.\nAnswer: 623.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-72) - 1\/4. Let x be (1 + -2 + 1)\/(-1). Suppose 2*l + t + x = -5, 4*l - 25 = 5*t. Solve l = -i*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170570030 divided by -73585\nAnswer: -2318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.35 - -0.05. Let p = x - -1.2. Let g = -8 + 7.7. What is the third biggest value in g, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-9) - 17556\/(-693).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/20 + (-4)\/(-10). Let m = -5 + -2. Let o = m + 5. Which is the closest to z? (a) o (b) -1\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884160 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5110934?\nAnswer: 2, 59, 43313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, l: 2, d: 1, f: 1}. What is prob of picking 1 d and 2 l?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/12 + 4)\/1\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p + 25. Let f be k(5). Let m = 45 - f. Suppose 2*v - m*i - 2506 = 0, -3*v + 1430 = 4*i - 2329. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejjj when four letters picked without replacement from jjjes?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/8 - ((-25)\/20)\/5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.575717162 rounded to 4 dps?\nAnswer: 3.5757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k + 98 - 116. Suppose 4*f - k*f - 5 = 0, -742 = -m + f. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*a**3 + 56*a**2*b + 530*a**2 + a*b - 42*b + 104196 wrt a?\nAnswer: 15*a**2 + 112*a*b + 1060*a + b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-8\/5)*h**(-4))**(5\/12))**(-4\/3) assuming h is positive.\nAnswer: h**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - y - 32, 20 = 2*n - 114*y + 113*y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2273035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24441 - 24420. What is the lowest common multiple of 8994 and m?\nAnswer: 62958","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13d67c + 1?\nAnswer: 13d67d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -586561\nAnswer: -2\/586561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 0 - 4\/35*t**7 - 190*t**2 - 1\/2*t**6 + 0*t**4 - 4\/5*t**5 + 0*t + 0*t**3 - 1\/112*t**8. Factor y(z).\nAnswer: -3*z**2*(z + 2)**2*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2937 - 3002. Let f = 127 - 46. Let w = y + f. Calculate the greatest common divisor of 64 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 1:26 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 663076 divided by -165769?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*i**4*p - 15*i**4 - 9*i**3 - 9*i**2*p - 18*p wrt i.\nAnswer: -240*i*p - 360*i - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 393439763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.16657827 rounded to 2 decimal places?\nAnswer: -1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/100 - (-2405)\/2275.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 18. Let c be (-2)\/w + (-60)\/(-33). Suppose -c*a + 6 = -a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n**3 - 45*n + 45*n - 23*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(40)\/(sqrt(8) + sqrt(24)\/sqrt(3) + sqrt(8)) + (sqrt(35)\/(sqrt(14)\/sqrt(2)) + sqrt(5))**2 - 3*(sqrt(40)\/sqrt(2) + sqrt(5))*-4.\nAnswer: 24 + 109*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 127.\nAnswer: -9\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-21)*-3 - (-3180)\/42. Suppose 80*o - t*o = 20. Is (o\/(-3) + 1)\/((-4)\/5262) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h\/(h*h*h**(-1)*h)))\/h)**(-3\/28)*(h\/(h\/((h**(-3)*h*h)\/h)*h*h*h))\/h**(-6))**(-21) assuming h is positive.\nAnswer: h**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 1971852?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14725 + 7715901\/524. Put 0.1, 1, j in ascending order.\nAnswer: j, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-270)\/24)\/(-15)*4\/(-18).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -42, -102, -222, -426?\nAnswer: -738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7892, 7940, 8020, 8132, 8276, 8452?\nAnswer: 8660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2 - 6397*z + 51240 = 0.\nAnswer: -6405, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/236847161?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 116465 + 25157 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10 - 3 + 2 - 11 + 21. Let j(x) = x + 19. Calculate 6*a(m) + j(m).\nAnswer: m + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/19 (b) -545 (c) -8 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 84279, 84267, 84251, 84231, 84207, 84179, 84147?\n\"Answer: -2*j**2 - 6*j + 84287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/3 - (-17 - (-11 + 0)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 7:04 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 0.35628?\nAnswer: 0.65628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-6) + -2)*-6. Suppose -4*k + 5*l = -232, k + 5*l = y + 24. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 33.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 28*g - 158. Calculate j(-21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*j + 4*j. Let o be 6\/(-4)*j*-2. Suppose -2*q + o - 90 = -5*h, -4*q = 5*h - 63. What is the remainder when 43 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most -271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 22547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 6*k**2 + 7*k - 3. Let n(h) = 28*h - 835. What is the smallest common multiple of v(5) and n(30)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -6. Suppose -b*p + 5*p = 34. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, v: 2, m: 6}. Give prob of sequence vj.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = 8. Suppose -108*n + 113*n + 910 = 0. List the prime factors of n\/i - (-16)\/12.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2\/9 - 1042*i\/9 - 12648 = 0.\nAnswer: -918, -124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 4*d**2 - 2. Let n = -7 - 4. Let c be -8*(-5)\/10*2. Let j = n + c. Calculate q(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (-84)\/(-4))*-1. Let p = 69 + h. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 2*t**2 + 4*t - 4. Let m be j(3). Let o be (m\/(-4))\/(63\/36). Which is the third biggest value? (a) 2 (b) o (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 d, and 1 v when three letters picked without replacement from dkgdtvo?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -35. What is the highest common divisor of 40 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4 - 3 + 1 - 3 + c. Let d(a) = 2*a**2 + 4*a - 6. Let t = -43 + 45. Let l(w) = t*g(w) - d(w). Factor l(y).\nAnswer: -2*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**3 + 18*i**2 - 18*i**2 + (4*i - 4*i - 5*i**2)*(-i + i - i).\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 968*t. Let o(v) = 48*v. Calculate w(o(a)).\nAnswer: 46464*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42078 + -2030. Let q(n) = -n**3 + 4*n**2 + n - 4. Let m be q(4). Suppose -1 = -2*u + u, 5*j + 2*u + c = m. Round j to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -955*y**2 - 42978*y - 138. Give c(-45).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3459, 14340, 32477, 57870, 90519, 130424, 177585?\n\"Answer: 3628*d**2 - 3*d - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - -10) + (-8)\/1. Let p(m) = m**3 + 4*m**2 + 2*m + 4. Let x be p(z). What is the tens digit of (-2)\/(2\/x)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7106 - 3878. List the prime factors of f.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4*2*(-2)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 2 - 2 + (-1 + 1 - p)*(0*p + 0*p + 2*p) + 0 - 2*p**2 + 0 + 401 + 4*p**2 - 401 to the form h*p**2 + a*p + l and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6012 - 0?\nAnswer: -6012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**2 + 0*a**2 - 2*a**2)*(-2*a**2 + a**2 - 4*a**2)*(-2*a + 0 + 0).\nAnswer: 50*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -34 (b) 0.12283 (c) -0.5 (d) -4 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.894475 litres?\nAnswer: 2894.475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 24.948.\nAnswer: -74.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.6 (b) 0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**11\/t)\/(t\/(t**(-4\/5)*t)))\/((t**(2\/7)\/t)\/((t**(-7\/2)\/t)\/t)) assuming t is positive.\nAnswer: t**(309\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 19. Let a be b(9). Let w(i) = -i - a + 4*i - 6. Let s be w(6). Solve -4*v - 2 - s = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -388.\nAnswer: -1\/388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9759 by -3.\nAnswer: -3253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 4*p = -28, p = 2*f - 2473 + 2489 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 960980 and 14?\nAnswer: 6726860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 113*m**2 + 219*m - 333.\nAnswer: (m - 1)*(m + 3)*(m + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -2, -424 in ascending order.\nAnswer: -424, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.026 + -5.016. Let h = b + -0.01. Let w(m) = -3*m + 36. Let u be w(11). What is the third smallest value in u, h, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6874836l to millilitres.\nAnswer: 687.4836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + 184*s**4 - 104*s**4 + 233*s**4 + (-3 + s + 3)*(-4*s**3 - s**3 + 3*s**3) - 257*s**3 + 257*s**3 - 2*s**4.\nAnswer: 309*s**4 - s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, p: 9}. Give prob of sequence rppp.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 + 8 - -3*4220\/(-2415) and 31\/138?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3249 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = k - 15, 0*k + i = -5*k + 75. Suppose 0 = -c + 19 - k. Suppose -275 = -u - c*u. List the prime factors of u.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4))**(-16) assuming s is positive.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 3:58 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -21801\nAnswer: 21800.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {b: 1, q: 1, h: 1, u: 1, p: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 10 = -6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17802\/139 or 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 49*r**2 + 50*r + 12. Give p(-48).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89100.67 years to months.\nAnswer: 1069208.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1267*i - 1278*i - 4*k = -225, -3*k + 88 = 4*i for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7792, -30737, -68978, -122515?\n\"Answer: -7648*i**2 - i - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24374659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f + 7. Let t be i(-5). Suppose -t = -k - 3*k - 2*o, -k = o - 9. Solve -5*v = -k - 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6 = -0. Let h be (w\/(-15))\/(4\/80). Calculate the highest common factor of 40 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*s + 16, 5*s - 7 = 3*w - 3. Let v(k) = -10*k**2 - 87*k - 25. List the prime factors of v(w).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201312 - 0.83553.\nAnswer: 201311.16447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 405, -2 in increasing order.\nAnswer: -3, -2, 3, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-286)\/(-4) + (-21)\/42 is divided by 31.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10701933.3ms in days?\nAnswer: 0.12386496875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5803, -11606, -17411, -23218, -29027?\nAnswer: -34838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*y + 68 + 8, -2*y + 326 = 4*m. Suppose -7*d + 10 + m = 0. What is the remainder when 36 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00046543 to five decimal places.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 131672431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 77*s**2 - 6*s + 6*s - 3*s + 24*s**2.\nAnswer: -53*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 44044627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1635900033.\nAnswer: 3, 647, 842813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, 178, 656, 1496, 2800, 4670?\nAnswer: 7208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272, 299, 326?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61943837 or 247775349\/4?\nAnswer: 61943837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4047 - 51047. Round o to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*w - 55*w + 10 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 633*g**5 + 3*g**4 + 460*g**2.\nAnswer: 37980*g**2 + 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-40)\/(-10)*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 3, 0.5, -14 in increasing order.\nAnswer: -14, 2\/19, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2874000*b*w - 3016581*b wrt w.\nAnswer: -2874000*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 + -84. Let t = 21 + -104\/5. Let v = 12 + -12.4. What is the third smallest value in t, v, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 8 = -2*c - 0*c, 0 = -4*f + 16. Calculate the common denominator of -13\/72 and (-23)\/(-92)*(-1 - 75\/c).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6378 + 12578 = 2591*h - 24005 - 16632 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 506 and 230?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -1\/14*a**7 + 0*a**3 + 0*a**2 + 0*a**6 - 1\/4*a**4 + 3*a + 0 + 0*a**5. What is the third derivative of m(u) wrt u?\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 7*d**6\/15 - 23*d**5\/10 - 11*d**4\/3 + 8*d**3\/3 - 7*d - 2. Solve i(n) = 0.\nAnswer: -1, 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -19*l + 13. Let g(w) = -16*w + 14. Let s(m) = 6*g(m) - 5*j(m). Calculate the remainder when 89 is divided by s(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1242602*-24.\nAnswer: -29822448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 641, 1284, 2147, 3338, 4965, 7136?\nAnswer: 9959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5283835719 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*o + 196. Let z = o + 134. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -814\/93969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/7 of a week in days?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*p - 10*p + 85 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/((-10800)\/1580))\/((-9)\/(-36)).\nAnswer: 79\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.57, 1, -0.219, -3, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-14) + (-4)\/14. Let v = -10 + 24. Suppose 0 = -3*r - k - 3, -v = -4*r + 4*k - 2. Solve 3*j - j + 3*x - 1 = 0, r = -q*j - 2*x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 > -68\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9922 - 9861. Calculate the remainder when 7195 is divided by i.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0.46?\nAnswer: 2.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-24)*-2*-1*(-15)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -20 (c) 0.3 (d) 53 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*d = 26*d - 22 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(30\/5)\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1014, -1015, -1016?\nAnswer: -1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20.99498 - 1.16682. Round z to 1 dp.\nAnswer: -22.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 850772904 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.032 + 0.156. Let x = t - 0.124. Let u = -1\/32 - 55\/288. What is the smallest value in 1\/3, u, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 5*s**2 - 7*s + 12. Let z be x(6). What is the greatest common divisor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 less than -3.285?\nAnswer: -3.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.55, -5, 7.3, 0, 3 in increasing order.\nAnswer: -5, -0.55, 0, 3, 7.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -6802890 to the nearest 100000.\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = -18 + 1. Let f(q) = -19*q**2 - 2*q - 3. Let v be f(l). Is 0.4 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25.999941 + -26. Round c to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from hhwc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 e when three letters picked without replacement from {e: 5, w: 1, p: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 j, and 1 x when three letters picked without replacement from {t: 8, j: 2, p: 1, x: 2, w: 2}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - j - 14 = 2*q, 3*q + 11 = 4*j. Solve -2*d + 7*d = j, -16 = 4*x + 4*d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 - 34*w - 103\/3.\nAnswer: (w - 103)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-10 - -2)\/((-2)\/1) - -2 and 76?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**5\/12 + 5*z**4\/24 + 6*z**2 + 4. Let w(p) be the second derivative of i(p). Suppose w(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -701\/32464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - -8. Let t = a - 25. Sort t, -5, 0 in ascending order.\nAnswer: -5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o + 5. Let y(l) = -6*l - 4. Let b(v) = -5*w(v) - 4*y(v). Let p be 14\/((-8)\/12*3). Determine b(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -135448.8377 to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 - -0.24. Let f = -7.3 + 7. Let s = -9 - -4. Which is the nearest to u? (a) f (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, 5 in ascending order.\nAnswer: 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 27. Factor 0*c**2 - r + 9*c**2 - 4*c - 6*c + 4*c.\nAnswer: 3*(c - 1)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 - -15.3. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11\/64 + -205\/448. Is 184 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**6\/180 + p**5\/15 - p**4\/3 + 5*p**3\/6 - 7*p. Let s(n) be the second derivative of c(n). Factor s(w).\nAnswer: -2*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-20)*-1)\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -197? (a) 0.018 (b) 0.097 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16293, 16294, 16295?\n\"Answer: h + 16292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 13. Let s be j(-9). Suppose o - 3 = 3. Let x = -1 + o. What is the second biggest value in x, s, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 641 divided by 20646.\nAnswer: 641\/20646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*l*u**4 - 57*l*u**3 + l*u + 4*l - 2*u**3 + 174*u wrt u?\nAnswer: -516*l*u**2 - 342*l*u - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11287 - -16703. What are the prime factors of g?\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 111\/18 + -1*1\/6. Solve -15 = -x + n*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15988850866 - 7.\nAnswer: 15988850859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 4*i + 7. Let j be d(5). Suppose -20 = 24*m - 29*m. Solve -j*a = 2*s + m, -3*a - 3*s - 4 = 2*s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + sqrt(19) + (sqrt(19) + sqrt(38)\/sqrt(2)*-1)**2 + 2 + (3*sqrt(171))**2.\nAnswer: sqrt(19) + 1538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.11 (b) -1 (c) 1.7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2988000 rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 19*z**2 - 151*z + 18. Calculate o(25).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 232999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7112 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 4*a**4 - 2*a**3 - 49 + a**2 + a + 48 as w*a**2 + t*a**3 + s*a + f + j*a**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102211202220 (base 3) to base 10.\nAnswer: -764556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 578 - 573. Let c(i) be the second derivative of 0 + 3*i**3 + 5*i + 0*i**d + 0*i**2 - 7\/15*i**6 + 0*i**4. Find the second derivative of c(f) wrt f.\nAnswer: -168*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + o - 8. Suppose -2 + 6 = -o*w. Let x be (0 + -2)\/(1 - 7). Which is smaller: w or x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**6\/30 + 6*y**5\/25 + 9*y**4\/20 + 609. Factor z(p).\nAnswer: p**3*(p + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -3936, 1523 in descending order.\nAnswer: 1523, 1, -5, -3936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010000100000 - -1111100110100?\nAnswer: 100001101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 6*i**2 + 2*i - 9. Let o be b(6). Solve 6*s = o*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(85) + sqrt(85) + -1*-2*sqrt(85) + sqrt(85)))\/(2*(sqrt(320)*-2 - sqrt(320) - sqrt(320))))**2 + 5.\nAnswer: 20905\/4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 1. Let c be m(4). Suppose c*j + 13 = 4*d, 2*j - 3*d - 3 = -13. Find the second derivative of -15*w - w**3 + 10*w - j + 1 wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from {d: 10, k: 4}.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31654604*p - 63309382*p + 31654770*p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 318 and 8484558.\nAnswer: 8484558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 1. Let a be ((-8)\/(-3))\/(u\/(-3)). Suppose 3*k - 3 = z + a, 0 = k - 4*z - 11. Solve -k*j - 1 = 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5457, -10917, -16377, -21837, -27297?\n\"Answer: -5460*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 8*h - 48 = 0. Solve 0 = -h*l - 28 + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence meem when four letters picked without replacement from {e: 9, m: 10}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from ggegghhheeqg?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**2)**(1\/17)*(l**32\/l)\/(l\/(l*l*l**50)) assuming l is positive.\nAnswer: l**(1397\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-5))\/((-6)\/(-15)). Let c(z) = 10 + 7*z - 4 + p. What is the remainder when c(7) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -2. Let q be 6\/(-14)*812\/(-2262). Which is the nearest to j? (a) -2\/5 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*l - 3 = 0. Let r be -1*(-5)\/(15\/9). Let z = l - r. Solve 0 = 4*y - 5*t + 12, 0 = 5*y - z*t - 2*t - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 20*s - 80. Let q be (-70)\/3 + 22\/(-33). Let n be d(q). Calculate the highest common divisor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/9*(-2)\/4. Let k = 5943 - 5947. Which is the nearest to -2? (a) -2\/11 (b) h (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2349 + 4163. Calculate the remainder when g is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-67 + 2 + 2*f - 34)*(-f + f - 2*f) to m*f**2 + j + i*f and give i.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0*d - 4*d)*(-d + 4*d - d)*(d - 3*d + 5*d).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -56. Let y(g) = -2*g**2 - 14*g + 8. Let k be y(-10). Let s be ((-2)\/(-4))\/(t\/k). Is s < 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39086136.\nAnswer: 2, 3, 619, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, n: 3}. What is prob of sequence gg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5 = 5*k, -22963700*g = -22963698*g + 6*k + 42 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-630)\/27 - -23)\/(((-16)\/(-6))\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -5. Let c(p) = 2*p**2 - 13*p - 6. Let k be c(x). Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2 + (-1 + 2 + 1)*(4 - 4 + 2) + 0 - 1 + 2 - 4 + 5 + 0)*(1 - 1 - 4)*(2*c + 6*c + c - 5 - c + 5 + (1 - 1 + c)*(0 + 0 - 1) - 3*c + c + 3*c).\nAnswer: -128*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-2))\/((-190)\/38*(-32)\/10)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7205639 divided by -194747\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2056413 is divided by 118?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 d when four letters picked without replacement from ddjjdd?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3195?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 5*c - 7. Calculate j(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 296 and 8584.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 793666 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nineteen quarters of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4079?\nAnswer: 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11742.6 times -2\nAnswer: 23485.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 92564509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35\/(-7) + 7 + 3. Let y(z) = 2*z. Let k be y(2). Suppose 20 = 3*x + x. Solve -3*i = -p*l - 28, k*i + x*l + 35 = 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a + 12 = 5*z, -8*a = 303*z - 308*z - 56 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phfg when four letters picked without replacement from hgpgpgfhg?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2\/3 + 326*w\/3 - 328\/3 = 0. What is w?\nAnswer: -164, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 = 5. Suppose -t*y = -1606 + 351. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 1 = 2*u - u + 6, -2555*m + 2559*m - 19*u = -103 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1870778284 to the nearest integer?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 3*v - 19 - 6*v. Let p be f(-11). Suppose -4*m + 1 = -p, -3*z = -3*m - 3. Solve 0 = -2*c + 6 + z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a**2 - 3*a - 4. Let g = 245 + -247. Let w(x) = x**2 + x. Let d(l) = 4*l**2 + l - 1. Let n(o) = d(o) - 2*w(o). What is g*y(q) + 7*n(q)?\nAnswer: 2*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/2, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37*o**2\/2 - 2*o.\nAnswer: o*(37*o - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 7, 1\/4, 4\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -7) + 0 + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-6))\/(5\/(-30)). Let r be (s\/5)\/((-7)\/70). Find the second derivative of -2*l - l - 2*l - r*l**3 + l wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 268485494*b**3 + 168076*b - 344?\nAnswer: 1610912964*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5. Solve -3*w + k + g = -1, 5*w - 11 = k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 5:59 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hajj when four letters picked without replacement from aahaajaaaaahjaa.\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 506.3166 decades in millennia?\nAnswer: 5.063166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = u - 40, 3*j = 2*u + 3*u + 53. Suppose 0 = 2*b - 3 + 1. Let c = b - -6. Calculate the remainder when j is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/15 and 20\/290661.\nAnswer: 1453305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m - 12*m**3 + 2*m - 20*m**3 + 8*m**3 as l*m + k*m**3 + q*m**2 + v and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y = -13*y + 42*y + 110 + 940 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3492 or 2228?\nAnswer: 2228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) 1512 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 = 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 1610457 = 15*t - 482016. What are the prime factors of t?\nAnswer: 3, 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 37442\nAnswer: -3\/37442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 l when three letters picked without replacement from legieeebiibe.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 7*l - 41. Give z(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8377237861 less than -4870?\nAnswer: -8377242731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, -34, -1.9, -7, 0.5, 177?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 344\/154)*11592\/(-2484)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1\/30, 0.1, -2, 0.08, -0.5, 40?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 88267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5327 and 477261911?\nAnswer: 5327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + 1 + (0 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) -3 (b) -2\/9 (c) -2\/3 (d) 0.2 (e) -10976\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3)**16)**(-48)*(i**(4\/3)*i**(-1\/7))\/(i**(-1\/11)\/(i\/(i*i**(5\/6)))) assuming i is positive.\nAnswer: i**(-354747\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 + 247 + (4 - 2) + 4 + 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 b when four letters picked without replacement from {f: 3, s: 9, b: 1, x: 4, m: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*n**2 + 5*n**2 + 0*n**2)*(7*n**3 - 3*n**3 - 3*n**3) - 17*n**5 + 102*n**3 - 102*n**3)*(-3 + 1 - 2).\nAnswer: 60*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 26*v. Let d(a) be the first derivative of 4*a**2 - 169. Give d(i(t)).\nAnswer: 208*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**0*n)\/n)\/n*n**10)**(-11\/2)*(n*n*(n\/(n**0*n)*n)\/n*n*n*n)**(-30)*(n**(-4)\/n)\/(n**(-3)*n) assuming n is positive.\nAnswer: n**(-208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*b + 1439*b - 91*b + 84890 for b.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53973001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4414815163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u = r + 4*r - 440, -1014*r + 502*r = -516*r + 3*u - 51 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7011 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0925 - 0.0925515. What is y rounded to 6 decimal places?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by (-4)\/22 + (-2492)\/(-154).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*o**2\/4 - 195*o\/4 + 69.\nAnswer: -3*(o + 23)*(3*o - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 222021111?\nAnswer: -222021111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose 3*o - 13 = -4*l, l - 2 = -1. Suppose 5*z - r*h + 11 - 39 = 0, -o*h = 3*z. Solve z*p + 17 = k, 2*k + 7 = -4*p - 19 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/sqrt(72) + (1*sqrt(11) - sqrt(11))*5 - (-4 + (sqrt(110)*-1)\/sqrt(10)).\nAnswer: 4 + 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 154\/4*(-720)\/1260\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/5)\/k)**45*(k*k*k**3*k)**(38\/5) assuming k is positive.\nAnswer: k**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyyyyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x + 25. Let k be c(6). Let a be (42\/k - 7)\/(1 - 2). Let d(q) be the second derivative of q**3\/2 + q. What is d(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 167.2396 - 164.24. Let l = x - 3. Round l to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70c (base 15) in base 13?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) -0.001 (b) -1\/4 (c) 3\/7 (d) -4 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3182? (a) 0.1 (b) -1 (c) -5 (d) -2.23 (e) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/42 - (-1778)\/(-12))*-1. Let i = c + 90. Suppose -g = -2*u - u + 178, 0 = 4*u - 2*g - i. What are the prime factors of u?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/33 and -73\/537?\nAnswer: 5907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 55266*h - 221146. What is s(4)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*y**3 - 31*y**2 - y**3 + 19*y**2 to a*y + m*y**2 + w*y**3 + r and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, t: 1, e: 1, f: 1, u: 1}. Give prob of sequence vuet.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-45)\/(-63) + 4\/14. Let b(q) = 1 + 3 - 3. Let f(r) be the first derivative of r**2 - r - 1. Give v*b(h) - f(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - 15\/12*-4. Let n(k) = -k**2 - 11*k + 748. What is the tens digit of n(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87545 - 0.2?\nAnswer: 87544.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2515192102?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - a = -0*x - 3, 2*a - 6 = 3*x. Let u be 6 + x + -4 + 1. Solve 0 = -u*d + 6 + 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/36 + (-12)\/(-54). Sort g, 2, -0.2, 2\/15 in ascending order.\nAnswer: g, -0.2, 2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3964 - -3964. Let g = 3 + -5. What is the closest to n in 1, g, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 5.9. Let q = 0 + -2. What is the closest to c in -2\/9, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 (base 15) in base 4?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1583 (base 10) to base 8.\nAnswer: -3057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f\/(f*f**2))))**(-4) assuming f is positive.\nAnswer: f**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*d = 50*d - 3824. Let z = d - 744. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 28*q - 28. Let i be r(-14). Let a = -280 - i. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/2 of a day?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, -1\/2, -0.05 in decreasing order.\nAnswer: 0, -0.05, -1\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 14*o + 17 = -10*o, 2*c - 2*o + 10 = 0. Is c bigger than 2\/427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y + 9. Let n(j) = -j**3 + 7*j**2 - 4*j - 5. Let t be n(6). Let k be i(t). What is the nearest to 1 in k, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 2:37 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 3*v**2 - 5*v + 5. Let s be q(4). Solve -9 = 3*g, j - s + 2 = -g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-25))\/((-475)\/19)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2068*o**2 + 14794.\nAnswer: 4136*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74396350423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 + 1208 - 1208.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*g + 8*g - 5*g**2 + (-46 + 43 - 44)*(-g**2 + 2*g - 2*g).\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -2, -5, -3, 5 in ascending order.\nAnswer: -5, -3, -2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and (-5)\/(15\/12) - -266?\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 times -6\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 76*v - 89. Let c be q(-39). Sort 5, c, -1\/4 in increasing order.\nAnswer: c, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*y - 4396 - 6364 = 0 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, x: 12, i: 3}. What is prob of sequence ixii?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 49 = -33*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -3, 2, 2\/9, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0 = 4*v + 28, 0 = -3*v - 12. Suppose -c + 5*q = w*c - 107, 5*c = q + 139. Let b be (-546)\/c*1*2. What is b rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 9 + 1. Factor -1269*x - x**p + 1269*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438172 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12))\/((-356)\/13884).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-10) + (-1452)\/(-220).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3922*n + 24*n**2 + 3922*n. Let u(x) = 2*x. What is t(u(z))?\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13333155 is divided by 233?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 681439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1734 + 2?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.0164 and 0.1173?\nAnswer: 1.17492372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2. Let v(q) = q - 5. Let d(n) = 3*n - 9. Let g(f) = -5*d(f) + 9*v(f). Determine g(a(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 31*q - 20 - 7*q - 7*q - 13*q. Determine r(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 0*q**2 + 0 - 78*q - 1\/3*q**3. Let d(k) = -425*k**2. Calculate g(d(y)).\nAnswer: 850*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954241 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -2*t - 2*j, -730*j + 25 = -735*j for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -274553\/75420 - -3\/2095. Calculate the common denominator of c and -9\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*l + 6 - 221 - 91 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g*p**3 + 4*g*p*w + 4*g - 140837*p**3*w - 4*p**2 + 172*p*w wrt p?\nAnswer: 6*g - 845022*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**7)\/f*f**(-2\/5))\/(f**(2\/3))**(-11))\/(f**(-1\/9)*(f\/(f**(-3\/8)\/f*f))\/f)**(-1\/10) assuming f is positive.\nAnswer: f**(-29\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78847585 to the nearest integer?\nAnswer: 8880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 8 + 2*z - 1\/3*z**3 + 43\/2*z**2. Let x(d) = d**2. Give n(x(q)).\nAnswer: -2*q**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 1448269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 12) to base 2\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 192\/18 + (-1)\/(-3). What is the third derivative of j*z - 11*z + 6*z**4 + 10*z**2 - 3*z**2 wrt z?\nAnswer: 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-1\/2))**(-7))**7)**(22\/7) assuming n is positive.\nAnswer: n**(-231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 216, -18, -21, 26 in ascending order.\nAnswer: -21, -18, 1, 26, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.8 - 2. Let d be ((-4)\/(-2))\/(7\/((-63)\/15)). Put q, d, 3 in descending order.\nAnswer: 3, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 24. Calculate the remainder when ((-7)\/2 + 3)*-62 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 6*p**2 + 18*p - 8. Calculate the lowest common multiple of q(8) and 166.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2889, -2892, -2895, -2898, -2901, -2904?\n\"Answer: -3*z - 2886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + -1 + sqrt(605) + -2)*-2.\nAnswer: -22*sqrt(5) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -460 (b) 3\/2 (c) 0 (d) -3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(704)*-2 - (sqrt(11) + sqrt(33)\/sqrt(3) + sqrt(11))*-4*-5.\nAnswer: -76*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000088549 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28.8 in 2, -2\/9, 4\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137908.7 rounded to the nearest one thousand?\nAnswer: 138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210 (base 3) in base 11?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -4*j**3\/3 - 85*j**2\/2 - 50*j. Is 2 a factor of l(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9 + 8 - d - 3*d + 5*d. Let z be o(-14). Differentiate 7 + 20*j**3 - 19 + 4*j**z with respect to j.\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 498608545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.21657 micrometers to nanometers.\nAnswer: 31216.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 80*r**2 + 265*r - 131. Calculate t(-83).\nAnswer: -1459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7081122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 423 + -395.7. Let m = 28.3 - v. Which is the smallest value? (a) 4 (b) 1.9 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -5787\nAnswer: -1736.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 34?\nAnswer: 23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a4 - 241?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 422864 and 102934?\nAnswer: 15645968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 + 2*q + 1. Let a(r) = -580*r**3 - 2*r - 2. What is -a(x) - n(x)?\nAnswer: 578*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22088, -43258, -64430, -85604?\nAnswer: -106780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -650693, -650742, -650883, -651164, -651633, -652338, -653327?\n\"Answer: -8*y**3 + 2*y**2 + y - 650688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1620\/2808 + ((-14)\/4)\/7?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 17.2.\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**4 - 12*i**3 - 12*i**2 + 64*i - 195. Factor k(d).\nAnswer: -4*(d - 1)*(d + 2)*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 2. Is d less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21896080331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/2))**(1\/7)\/(z**6\/((z\/(z**0\/z*z))\/z)))**33 assuming z is positive.\nAnswer: z**(-2739\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5726 by 2863.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -16. Find the third derivative of -39*r**2 + 76*r**2 + 2*r**k - 39*r**2 wrt r.\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((40\/5)\/(-48))\/((-1)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 2, -n - 3*v + 9 = -v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24964, -25149, -25338, -25531, -25728, -25929?\n\"Answer: -2*s**2 - 179*s - 24783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -11. Let m be (-18)\/(-3) - ((19 - 7) + -9). Suppose -4*v = u*k - 4, -m*v + 3 = k - 0*v. Solve 3*l - 10 = 2*d - 0*d, k = -5*d - 3*l + 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21981 = 272*x + 15453 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -v - 3*c, 3*v = 5*c + 91 + 185. Calculate the highest common factor of v and 276.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*o + 282 = -0*o, 2*o = -y + 134. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1104659594 rounded to 5 decimal places?\nAnswer: -0.11047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -248?\nAnswer: -74.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-7 + 1) - 18 - -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -3.7. Which is the nearest to 0? (a) 1\/2 (b) h (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23? (a) 2 (b) -2\/15 (c) -0.2 (d) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -365*s + 29216. Give j(80).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54996, 54918, 54840?\nAnswer: 54762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(28)*-4)\/sqrt(4).\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.562009 rounded to 1 decimal place?\nAnswer: 10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -506? (a) -0.8 (b) 1 (c) -4 (d) 0.2 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*p**2 - 84*p**2 - 93*p**3 + 70*p**3.\nAnswer: -23*p**3 - 195*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1086, -874, -522, -36, 578, 1314, 2166, 3128?\n\"Answer: -b**3 + 76*b**2 - 9*b - 1152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 17*j**2 - 15*j + 18. Suppose 16 = -54*g + 53*g. Let r be x(g). Let i be 4\/(-6)*(-18)\/4. Solve 5*y + r = -i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1))\/(x*(x\/x**(1\/6))\/x*x)*(x*x\/(x**(-1)\/x*x))**(3\/11))\/((x**5*x*x)\/x**(2\/7))**(-1\/80) assuming x is positive.\nAnswer: x**(19751\/18480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-11 + 18 - -1) + 20\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*x**2 + 3369*x - 3369*x - 597*x**2.\nAnswer: -866*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 124\/3*m + 0 - 122\/3*m**2 - 2\/3*m**3 = 0.\nAnswer: -62, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**4\/4 + 7*q**3\/3 + q**2 - 3*q + 314. What is c(-7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51 - 7) + 3 + (-4 - -8) + -2 + 4.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -559*f - 568. Give s(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.958 - -0.042. Let z be 2 + 3\/(-6) + 0. Which is the smallest value? (a) z (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -4 + 15 + -4 - (0 + 5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3964 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, i: 11, r: 2}. Give prob of sequence ryyr.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 1)*2\/2. Let d(u) be the third derivative of 0*u + 0 - u**2 + 1\/24*u**4 + 1\/3*u**m. Let k(f) = f + 2. What is 3*d(b) - 2*k(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 6:22 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - -69. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2380 - 2379.9. Which is the nearest to q? (a) -0.3 (b) 1 (c) 5\/6 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 810\/(-450) - (-16)\/(-5). Let c be 1 + 2\/(-7) + -1. Put -3, 0.4, c, g in descending order.\nAnswer: 0.4, c, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*r = -34*r. Let n(d) = 3*d - 1. Let k be n(-2). Sort r, 3, k in decreasing order.\nAnswer: 3, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -408 + 4999. List the prime factors of z.\nAnswer: 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 4*x**2 - 3*x + 1. Let c be -3*(-1)\/((-3)\/4). What is the units digit of k(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 6129471398671.\nAnswer: 6129471398676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78254 or -78284?\nAnswer: -78254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -4. Let l(w) be the first derivative of -1 + 0*w**2 + c*w - 2\/3*w**3. Let i(o) = -o. What is l(i(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 628172885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102990523?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22867.2470914 - 2182.7671159. Let k = 20685.08 - a. Let o = k + -0.6. What is o rounded to six decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 5, -2437, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 21*j**2 - 103*j - 2158. Determine a(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*t + 646 = 0, 193*t = -4*r + 198*t + 464. What is the remainder when 362 is divided by r?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100*o**4*z - 899*o**3*z + 9*o**3 + 32*o**2*z - z - 1084 wrt o?\nAnswer: -2400*o*z - 5394*z + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 4. Let b be u(-3). Let w = b - -49. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**2. Let b(a) be the third derivative of -a**5\/30 - 17*a**3\/6 + a**2 - 8. Give x(b(y)).\nAnswer: 16*y**4 + 272*y**2 + 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1921 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 + 2*c + 1. Let r be m(-2). What is the greatest common factor of 27 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/(-55))\/((-3)\/(-10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00382 to four decimal places.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 266670000 to the nearest one million.\nAnswer: 267000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -5, 4, 1\/221, -1684, -3?\nAnswer: 1\/221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -210100023 (base 4) to base 12\nAnswer: -71b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 4:20 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729763.\nAnswer: 461, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**22)**1)**(-28) assuming y is positive.\nAnswer: y**(-616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 4*o**2 - 2*o**2)*(1 - 5 + 2*o + 0).\nAnswer: -2*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -24 (b) 5 (c) -13 (d) -2\/709 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + -3*((sqrt(76)*-2 - sqrt(19) - sqrt(19)) + sqrt(19))**2*5 + 4).\nAnswer: 28476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -1.4, 52, -2\/7, 8, -1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 + 9*y + 1. Let a be q(4). Solve a = 2*z + x, -x - 2 + 3 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*v + 4*a, 6*v - 5*v - a + 3 = 0. Is 13 a factor of (3 + v)\/((-24)\/(-11112))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/55, -0.2, 0.18, 0.3 in descending order.\nAnswer: 0.3, 0.18, -2\/55, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -3, -2, 5 in increasing order.\nAnswer: -3, -2, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 209510483 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2498*j**2 + 1691*j + 37951165 wrt j?\nAnswer: 4996*j + 1691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 46 = -3*g, -5*g = 48*s - 52*s - 65. Suppose -3*o + 2*y = -77, -4*o + 18*y + 101 = g*y. Solve -4*b - 5*c + o - 5 = 0, 0 = 5*b + c - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-705545)\/45 + 4\/(-18))\/((-283)\/566)?\nAnswer: 2, 15679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*k, q - 5*k - 4 = 0. Let s = 64 + -53. Suppose s*i - 3 = 10*i. Put i, -4, q in ascending order.\nAnswer: -4, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*p + 404. Suppose 5*r + 130 = 4*m, -r + p = 3*m + r. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18336901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -6*u**3 + 277. Let x(z) = -16*z**2. Give x(k(m)).\nAnswer: -5184*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -39, 0, -2, -1, -91 in descending order.\nAnswer: 1, 0, -1, -2, -39, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 0) + (185 - 214)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j*l**2*m*o**3 + 2469*j*l**2*o - j*l*m*o**2 + 582*j*m*o - 2*j*o**3 + 3*l**2*m*o + 5*l*o wrt l?\nAnswer: -2*j*m*o**3 + 4938*j*o + 6*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -22*z + 75. Suppose 8*l + 777 = z*l. Let f = l + 459. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -1\/8, 5, -3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(-5*sqrt(16)).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 456*m**4 - 7*m**2 - 4508 wrt m?\nAnswer: 1824*m**3 - 14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25381687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 542950 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1806 and 546.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -19. Solve b = 2*g - 4*n - 12, -g = -3*n - 0*n - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.02 - 0.98. Which is the second smallest value? (a) -0.1 (b) u (c) -5\/3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**4 - 2391*x**3 + 4791*x**2 - 2397*x = 0.\nAnswer: -799, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, y: 1, d: 5}. Give prob of sequence dy.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -689 - -2031. List the prime factors of f.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 6*d - 3*d)*(21 - 44 - 38).\nAnswer: -244*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/14)\/((-1)\/4). Let o = -114 - -114.1. Let v = -7\/61 - -82\/183. Which is the second smallest value? (a) j (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450552487.\nAnswer: 7, 11, 97, 179, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -5554 at most as big as -5554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.27209mm?\nAnswer: 0.027209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -216065*w + 365203?\nAnswer: -216065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -23+15750599935\nAnswer: 15750599912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 60\/9 + -6)\/((-8)\/6). Sort -33, -5, -9, z in increasing order.\nAnswer: -33, -9, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -64*a - 3. Suppose 4*z = 2*x - 5 + 21, 0 = -5*x - 2*z - 16. Is j(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 38\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 2*k + 2*k - 2*k)*(-3 + 2 + 0)*(k + 10 - 10).\nAnswer: -k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 4, 21, 0.05 in decreasing order.\nAnswer: 21, 4, 0.05, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 6*y**2 - 7*y - 2. Let c be t(7). Let v = c + 4. Determine k, given that 2*k + 0 - 2*k**3 - 2*k**v + 2 + 0 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 0 (b) 9 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 525359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -740932*y**3 + 2172090*y**2?\nAnswer: -4445592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7*2\/336)\/(2\/(-8)). Put t, 3, -0.03 in descending order.\nAnswer: 3, t, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -168 (b) -4 (c) -2 (d) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851973313.\nAnswer: 851973313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37228 is divided by 2179?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1738*j**3 - 6*j**2 + 8*j + 18. Let r(t) = -t**3 + t**2 - t - 3. What is p(w) + 6*r(w)?\nAnswer: 1732*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 4\/(-3)*(-51 - -33).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82517213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 + 31. Let d(x) = x - 2303. What is d(k(z))?\nAnswer: 2*z**2 - 2272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -197.8 + 200.8. What is the second smallest value in -1, m, -0.0061?\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 592745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429 = -4*u + 2071. Does 53 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -304?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 755753575 divided by -158273\nAnswer: -4775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*x = 255*x + u + 24, 5*x + 2*u + 23 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 8637708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -26*h - 303. Let g be u(-12). Let a(c) be the second derivative of -2*c**3\/3 + 6*c**2 - 15*c. Give a(g).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(0 - x + 0) + x - 3*x + 0*x + 2*x + x - x + 0*x + 4*x - 3*x - 1 - 2*x + 1 - 30*x + 57*x - 26*x - 135.\nAnswer: -2*x - 135","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, y: 2, s: 5}. What is prob of sequence ym?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7, -3, 2, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2668084, -2668127, -2668170, -2668213, -2668256?\n\"Answer: -43*k - 2668041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 848 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 2. Suppose -a - 4 = -2*a. Suppose -3*d + 11 = 2*d - 2*p, a*d = 5*p + 19. Let w(x) = -x. What is d*m(j) - 4*w(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5608 by -3.\nAnswer: -5608\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpmmlmlwml. What is prob of sequence mlwp?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/26 + (-10)\/2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -733 + 231*f - 1324 + 235*f - 465*f.\nAnswer: f - 2057","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4282*n + 183930. Calculate y(43).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 16 = 44. Let m = -4 + 8. Sort m, -3\/2, k in increasing order.\nAnswer: k, -3\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 1\/3 (c) 1\/9 (d) -1\/9 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2866384 and -1347061?\nAnswer: 1519323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -125, -259, -427, -629?\n\"Answer: -17*a**2 - 83*a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2635*u + 2625. What is c(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*g - 697*g = 548*g + 92*g - 82628 for g.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1)\/(4260\/(-90) - -45)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 4 + 14. Let y be m\/9 - (-61)\/(-9). Let t = y - -10. Solve 19 = t*s + g + 3*g, s - 2*g = -7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5)\/c)**25\/(c\/c**(-2\/3)*c)**0 assuming c is positive.\nAnswer: c**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 - -c?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 5. Let v = -47 - -49. Let b(l) = -9 + 14 + 5 + 4 - v*l. Let c be b(10). Give p(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 251307607 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, 2\/3, 1, -3, 9, 36.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/70944900 and 83\/1875.\nAnswer: 1773622500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 6*d - 4*d - 15 = 0, 0 = z + d - 3. Suppose -z*g - 23 = -44. Suppose g*b - 108 = b. Calculate the least common multiple of b and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 7*j**2 - 3. Let m be h(-7). Let l be 12\/(-36) + -1 + (-11)\/m. Determine y, given that l*y**4 + 0 + 6*y**3 + 1\/3*y**5 + 8\/3*y + 20\/3*y**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 2*y**2 - y**2)*(0*y**2 + 9*y**2 - y**2) + (y**2 - y**2 - 4*y**3)*(2*y - 3 + 3) - y**4 - 2*y**4 - y**4.\nAnswer: -28*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3179 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22a - -2?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1603 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1389 - 9722\/7. Find w such that -1\/7 - f*w**2 - 2\/7*w = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94427352?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15658 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256, 2109, 7132, 16909, 33024, 57061, 90604?\nAnswer: 135237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -301248 divided by -523?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 669*s + 50407. What is b(-220)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 + 77. Suppose y = -3*y - 3*p + q, -4 = -2*p. Suppose 26 = y*g - 10. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(1 + -2 + 2) - -2. Suppose 0*x + 56 = -x - a*h, 4 = -h. Let u = 156 + x. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 0.5, -31.7, -1.5116?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -491 - -481. Which is the nearest to d? (a) 1\/2 (b) -1\/4 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-605 + 554 - (-1 - ((0 - -2) + -1)))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6865 - -6864.99991714. Round m to six decimal places.\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -349, -350, -351, -352?\n\"Answer: -s - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 261213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 534, 295, -374, -1695, -3890?\nAnswer: -7181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c**4*t**3 - 285*c**3 + 2*t**3 - 1082*t wrt c.\nAnswer: -12*c**3*t**3 - 855*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 142, -0.4, 0.3, -2\/31, -1?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r. Let x be w(-2). Let q(k) = -241*k**2 + 486*k - 4. Let h be q(2). Which is the third biggest value? (a) x (b) -2 (c) h (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 12.28. Let d = -0.68 + n. Sort 3\/4, d, -0.1, -3\/2 in descending order.\nAnswer: 3\/4, -0.1, d, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 406*p + 23. Is a(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -952 + 6?\nAnswer: -94c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 + 3 - 3 - 4*f**2 + 6*f**2 - 4*f**2 + (-f - 3*f + 5*f)*(f + 0*f + f) - 3*f**2 + 3*f**2 + f**2 + f**2 + 0 + 0)*(6267*f - 6267*f + 939*f**3).\nAnswer: -2817*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5120697 to the nearest integer?\nAnswer: 2263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**3 - 368*o**2 - o - 84. Determine p(-92).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 0 - (-99 + 105).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7481.13s?\nAnswer: 7481130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q + 1 - 1)*(5*q**2 + 0*q**2 - 4*q**2) + 4*q - 2*q + 6277 - q**3 - 6160 as o*q**2 + d + c*q + a*q**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -3. Suppose v - 11 = -2*i, 4*i - v = 2*v + 17. Suppose -44 = -i*q + q. What is the least common multiple of q and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160868 times 1.2\nAnswer: 193041.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 - 1)*(0*h + 4*h - h + 2) to d*h + n and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 4*o**2 - o - 5. Let w be a(-4). Suppose 0*i - 592 = 4*i. Calculate the common denominator of -49\/5 and i\/80 + w\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 9 = q, 3*q + 10*h = -403 + 381 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**4\/12 - u**3\/3 + 13*u. Factor n(d).\nAnswer: -d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 674 - 676. What is the closest to -1 in 1\/3, 5, b, 0.78?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57402713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 215\/430*116*-1.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10121122 - -102?\nAnswer: -10121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3455127 to 4 decimal places.\nAnswer: -0.3455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -2. Suppose -s + 72 = i*s. Suppose 3*x - s = -3. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817986320.\nAnswer: 2, 5, 10224829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -3. Is (-24)\/(-3) - (a + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxhhx. What is prob of sequence hxx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 849 + -570. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**4\/24 + v**3\/2 - 2*v**2. Let c be q(-1). Suppose -21 - 1 = -11*i. Solve 1 = p + 3*t, -i = -3*p - c*t + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from {n: 1, t: 3, h: 3, e: 1, w: 1, l: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134 + 20421?\nAnswer: 21110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2590 - -2616. Let r = -7 + 14. What is the least common multiple of l and r?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 2\/195, 3, 614.\nAnswer: 2\/195, 1.1, 3, 614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 16202.\nAnswer: 0, 1, 16202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**0*f)**(1\/4)\/(f\/((f*f**(-4\/3)*f)\/f)*f*f**(-4))*f*(((f**(-3\/5)*f)\/f)\/f*f)\/f*f*f\/f**6*(f**(2\/7))**8 assuming f is positive.\nAnswer: f**(-31\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.026 - 2.126. Round c to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*a - 34*a = -27*a + 61*a + 5936 for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*r + 32 + 101 - 72 - 61.\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2595826858.\nAnswer: 2, 281, 1277, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(3) + 0 + sqrt(3) + sqrt(3)) + -1)**2*6.\nAnswer: 108*sqrt(3) + 1464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -2*b + 236. Let h be (-6)\/21 - (-639)\/7. Suppose -28 = 3*l - h. What is the highest common divisor of b and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159852\/3719 or 44?\nAnswer: 159852\/3719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -80\/51 and 109\/493510.\nAnswer: 1480530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/25475152 and -69\/206985610.\nAnswer: 1655884880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*q = -51*q + 8316. What is the remainder when q is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 764 + -12141431?\nAnswer: -12140445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84039\/157 or 536?\nAnswer: 84039\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 2\/5 + (-44)\/10. Let b(y) = y + 3. Determine b(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 5*z**2 - 2*z - 6. Let i(j) = j**3 - 9*j**2 - 5. Let c be i(9). Let x be q(c). Solve 3*m = 6*m - 4*w - 19, w = -x*m + 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1311 divided by 3\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/5 in -3\/4, 0.2, 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 736 divide 2801952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-190)\/(-19) - (-254)\/(-50)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-55)\/(1641\/(-9) - 2). Let p = s - 1\/79. Put 5, 2, p in decreasing order.\nAnswer: 5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345161281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2) + 748\/8. Suppose 7*k - 5*k = f. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/4 - 43*v**4\/4 + 67*v**3\/4 + 615*v**2\/4 = 0. Calculate v.\nAnswer: -3, 0, 5, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-21))\/(14\/196) - -4. Calculate the greatest common factor of 26 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + b - 4*b)*(19*b - 136 + 136)*(2 - 1 + 1) in the form p + o*b + i*b**2 and give i.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**7\/5040 - 61*w**5\/60 - 65*w**2 - 2. Let z(y) be the third derivative of l(y). Let k(j) = -4*j. What is z(k(q))?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/10)\/((-4)\/(-20)). Let j be 21*(-4)\/(-48)*(-12)\/(-42). Are j and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(300))**2 + (2*sqrt(363) - sqrt(363))**2 + 5.\nAnswer: -1432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2.5279 times -3.2\nAnswer: 8.08928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-96) + (-1039)\/(-6) - -5. Let n = q + 1208. List the prime factors of n.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 6*k. Let a = -28 - -25. Let i(v) = 2*v**2 + 11*v + 1. Suppose -7 = -3*l - 22. Let s(w) = a*i(w) + l*z(w). What is s(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -809018 (base 10) to base 2\nAnswer: -11000101100000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a - 3*a)*(-2 - 4 + 3) + (-2 + 2 + a)*(-5 + 1 + 1).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*q + 3*g - 3, 0 = q + g + 10. What is the remainder when 6 is divided by (q - -4)\/(1\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -349527.1253 + 0.04?\nAnswer: -349527.0853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 d when four letters picked without replacement from {d: 8, h: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -3*r**3\/2 + 51*r**2\/2 - 53*r. Calculate the remainder when (1 - 2) + 0 + 41 is divided by y(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**6\/120 - u**5\/30 + 8*u**2. Find the third derivative of f(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 82. Suppose 0 = -11*n + 7*n + 60. Calculate the remainder when h(n) is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -9. What is the lowest common multiple of s and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 0.6. Suppose -2*j = -5*x + 2*j + 2, 2*j - 4 = 0. Which is the closest to l? (a) -2\/21 (b) -2\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 11:06 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j - j + 0*j + (-3 - 1 + 5)*(-j + 4*j - 4*j) + 3*j - 4*j + 0*j + 0*j + 2*j - 3*j + 1 + j - 1 - 3 + 3 - 2*j - j - j - 2*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, x: 9}. Give prob of sequence uuxx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21365 + 21365.4. What is the closest to 3\/14 in q, 5, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 11 = -0*y. Calculate the smallest common multiple of y and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 1)*(2*v + 2*v + 2*v)*(65*v + 0*v - 271*v)*(v - 3*v + 3*v)*(0*v - 3*v + v) to x*v**4 + i*v**3 + n*v + p + s*v**2 and give x.\nAnswer: -4944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h + 11. Let j(o) = 12 + 2*o + 0*o - 16. Let g = 11 + 0. Let c(p) = g*j(p) + 4*n(p). Let t(r) = 24*r. Give c(t(b)).\nAnswer: 48*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**6\/600 - 11*i**5\/300 - i**4\/120 + 11*i**3\/30 + 3*i**2 - 66. Factor b(f).\nAnswer: (f - 11)*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.2 + 12.2. Sort q, 2, -28, 2\/7 in increasing order.\nAnswer: -28, q, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, -68, -262, -544, -920?\nAnswer: -1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**2 - 4. Let g(n) = 14*n**2 + 11. Let b(a) = 4*g(a) + 11*q(a). Let m(u) = -u**2. Give b(m(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -26. Let f be s\/1 + 4576 + -4. Suppose -23*n + 16*n = -f. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -301 + 458. What is the first derivative of 303 - 157 - u - 5*h**3 wrt h?\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from ghgxffgxghfhgfxhfgg?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -93. Let m = a - 16. Let v = 30.99964 - m. Round v to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16646129899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (345\/(-20))\/((-1)\/(-8)*37\/1258*-51).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64993, 130022, 195065, 260128, 325217, 390338?\nAnswer: 455497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from {h: 3, z: 4, g: 2}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1217979 and -0.268?\nAnswer: 326418.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*t**3 + 789*t**3 - 15 + 8 + 7 + 1821*t**2 wrt t?\nAnswer: 4656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1042*t**6 + 740*t**5 - 2*t**3 - 2*t**2 - 195043*t + 185 wrt t.\nAnswer: 125040*t**3 + 44400*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2274, 4837, 7962, 11925, 17002, 23469?\nAnswer: 31602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*z**3 + 0 + 0*z - z**2.\nAnswer: -z**2*(z + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14143 is divided by 4711?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -3.5.\nAnswer: -17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9247365.54 seconds in weeks?\nAnswer: 15.28995625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(34)\/(-6*sqrt(8)\/sqrt(4)) + -4 + (sqrt(833) + 2*sqrt(833) + sqrt(833))**2).\nAnswer: -13324 + sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68940 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 1. Let g(j) = -4*j - 2. Let t(m) = -m**2 + 3*m + 3. Let f(o) = -3*g(o) - 4*t(o). Suppose -5*z + 10 = 5*q, 13*q = 9*q + z + 28. Give q*s(v) + f(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 17*o**2 + 16*o + 6. Let b be a(16). Let v = b - -62. Is 20 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 + 7*v**2 - 3*v**2 - 4*v. Let t be d(5). Let g be (-310)\/(-50) + -7 - (-2)\/10. What is the third smallest value in t, g, -0.05?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 20*z + 69. Let y(k) = 30*k + 109. Let q(a) = 8*j(a) - 5*y(a). Let s(n) = 29*n + 20. Determine 17*q(r) - 6*s(r).\nAnswer: -4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 + m**4 + 0*m**3 + 2*m**4 - 4 + 4 + (-2*m - m + 4*m)*(0*m**3 + 2*m**3 + 2*m**3).\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009121 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 e, and 2 x when four letters picked without replacement from {x: 3, e: 3, b: 3, h: 5, j: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 9:06 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.9 minus 302.495951?\nAnswer: -307.395951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-5)*48\/(46080\/(-400))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnvnlvzvvnlnlvnnv. Give prob of sequence lnnn.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 2*c - 2 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1250155014?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - h = -21944. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x. Let d be (-45)\/72*2*4. Calculate f(d).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.43 - -0.4341. Round o to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -37c + -513?\nAnswer: -88f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 31*y - 810, 3*y - 2*t - 39 - 43 = 0. Solve 26*g - 52 = y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 13, 2, -9?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 5)*(-36*j + 89 - 182 + 94) in the form m*j + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*c - 24 = h, 0 = -4*h + c + 45. Calculate the least common multiple of h and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612 is divided by ((-1)\/(-1))\/((-3)\/1476*-4).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -c5?\nAnswer: -ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/(p\/(p\/((p\/p**(-7))\/p)))*p)\/p)\/p*p*p**6*p**(-4)*p\/((p**(-2\/11)\/p*p)\/p*p)*p)**(-2\/155) assuming p is positive.\nAnswer: p**(18\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4788, 4818, 4872, 4962, 5100, 5298?\n\"Answer: 2*i**3 + 16*i + 4770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 7*t**2 + 6*t + 5. Let n be u(6). Suppose 0*h = -r + h + 19, h = n*r - 75. Is 12 a factor of ((-7)\/(-2) - 1)*r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-26)*y**(-2\/25))\/(y**(-21\/4)*y*y*y*y**32*y*y*y) assuming y is positive.\nAnswer: y**(-5883\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7 + 6 + -3 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 - -56. Let u be (-66)\/(-10) - ((-22)\/h + 5). Suppose -u*s = -s - 4435. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/9 or 17.3?\nAnswer: 17.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -5. Suppose -s = f - 4. Let g(q) be the first derivative of -q**4\/4 - 2*q**3 - 2*q**2 - 2*q - 2. Calculate g(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h - 8. Let g(l) = l - 1. Suppose 5*d - s - 36 = 0, 0 = 5*d + 4*s - 56. Let k(w) = d*g(w) - p(w). Let v(n) = -2*n. Give v(k(j)).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5 + 7807*l**2 + 0 - 15602*l**2 - 3*l + 7807*l**2. Let s(a) = a**2 + a + 1. Calculate -r(y) - 5*s(y).\nAnswer: -17*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1381\/79178 - -1\/122. Sort 4, o, 0.2 in decreasing order.\nAnswer: 4, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c8 + -21c9?\nAnswer: -22a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44387*r**3 - 43678*r**3 + 88074*r**3 + 2*r**2.\nAnswer: 9*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = 1968 - 5008. Let l = 191 - i. Let g = 7 + 0. Solve o + 5*y = -3*o - g, -4*y = o - l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (9 - (-1 - -4)) + 0 + -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-12)\/(-9)))\/((-914)\/(-457)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 17 = -4*y + y, 4*y = -2*r - 14. Let c = 7 + r. Suppose -3 = -c*m - m. Put -3, m, -2 in decreasing order.\nAnswer: m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 34*y**2 + 12*y - 489. What is the tens digit of g(39)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 386 + -382. Suppose 0 = -3*i + 5*d + t, 0 = 32*i - 35*i - 4*d + 40. What is the remainder when i is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 117383206?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*x, f = -3*f - 4*x. Let m(o) = -2 + 32*o - 72*o + f + 35*o. Let w(d) = 14*d + 6. Give -11*m(c) - 4*w(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**3 - 16*m**2 - 4*m - 11. Let w be d(-4). Suppose -2*u - 4*g - 4 = -4*u, 15 = w*g. Solve 0 = -u*y + 7*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppl. What is prob of sequence lll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - -14. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v + 51. Let f be b(9). Calculate the greatest common divisor of 48 and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 164 and 3.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26354757.\nAnswer: 3, 11, 13, 23, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, j: 9, r: 1, k: 5}. Give prob of picking 3 j.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2949*j**4 + 642*j**2 - 973*j + 158 wrt j.\nAnswer: -35388*j**2 + 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16 + 32*j - 36*j - 18*j wrt j.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/4*2)\/(5\/(-30)). Sort 26, m, -6.\nAnswer: -6, m, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9321800 times 14?\nAnswer: 130505200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(2 + 39\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6 and -31311004300.8677?\nAnswer: 31311004294.8677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -231333 - 5?\nAnswer: -231338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 410*c - 696 with respect to c.\nAnswer: 410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -9. Suppose 5*h + q - 9 = 0. What is the smallest common multiple of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -16\/11 - 422\/11*u**2 + 260\/11*u**3 + 178\/11*u = 0.\nAnswer: 8\/65, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494758 is divided by 22486.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 472 and 127290376.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 16787, -3, -0.4, 0, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 1:11 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 9. Let i = 0.4 + 2.6. Sort i, 6\/11, n.\nAnswer: n, 6\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (309\/(-2781))\/(9\/(-12)*24\/243).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15642)\/12*(-2)\/3.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyqqyy. What is prob of sequence qyq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 64*p**2 + 75*p - 355. Calculate j(-63).\nAnswer: -1111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -72041375, -72041376, -72041377?\n\"Answer: -o - 72041374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 13*d = 0. Let p(y) be the second derivative of 0*y**5 + 1\/3*y**4 - 1\/10*y**6 + 0 + 0*y**2 + 6*y + d*y**3. Find the third derivative of p(a) wrt a.\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1602119?\nAnswer: 1602119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 99458 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 72\/(-21) - 46\/7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 1965*w**3 - 177*w**3 - w.\nAnswer: -2142*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (121\/22*3\/(-6))\/((-6)\/48*2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + sqrt(1900) + 0 + 3)**2*-4*-4 + (-3*(-5 + (sqrt(1900) + -4 - sqrt(1900)) + -3))**2.\nAnswer: 1920*sqrt(19) + 123040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 6*y**2 - 4. Let v be x(-6). Suppose -14*t + 10*t = h - 15, -2*h = 3*t - 20. Suppose 0*g = -g. Sort t, g, v.\nAnswer: v, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -358*i**4 + 4642*i**3 - 11300*i**2 + 6776*i + 240 = 0?\nAnswer: -6\/179, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 1353600.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 983712017 to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1180)\/531 + 2\/9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 53\/5 of a millimeter?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16093.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 394 = n - 83, 3*k - 2*n - 237 = 0. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -637077 - -2032?\nAnswer: -635045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -6. Let m(j) = -3*j + 52. Let o be m(17). Let f be (-12*1)\/(2 + -4). Solve -q*w + f = 2*t, o = -t - w + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 3*w + 6 + 1\/6*w**3 - 17\/12*w**4 + 25\/2*w**2. What is the second derivative of m(z) wrt z?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -319 + 537. Calculate the remainder when t is divided by 72.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2015 - 758. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: c2121 (base 13) to base 5\nAnswer: 42103242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118045.17ms to hours.\nAnswer: 0.032790325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 3*b + 498 - 994 = -0*u + 2*u - 501, 4*u + 33*b = -107 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16, 39, 82, 151, 252?\n\"Answer: z**3 + 4*z**2 + 4*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/282825 and -131\/882414?\nAnswer: 22060350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1060.7 + -1061. Suppose -4*t + 14 = 5*h, 5*t - 1 + 15 = -h. Put -2\/7, h, b in descending order.\nAnswer: h, -2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302.378 * 2\nAnswer: 604.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 d, and 1 c when three letters picked without replacement from ppgccdv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.820699 rounded to 3 decimal places?\nAnswer: 1.821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 219, 220, 211, 186, 139, 64, -45, -194?\n\"Answer: -i**3 + i**2 + 5*i + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.92 + -0.08. Let l = u + 10. Let v = l - 0. What is the closest to -0.2 in 2\/7, 2\/11, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d - 4*d - 3 + 4*d. What are the prime factors of x(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15318?\nAnswer: 2, 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -11 in decreasing order.\nAnswer: 5, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023726812 rounded to 7 dps?\nAnswer: 0.0002373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, 7457, 9, -5, 5 in descending order.\nAnswer: 7457, 9, 5, 0, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:23 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -77 + (36 - 45) - -29\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19 times -2.82\nAnswer: -53.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544898198.\nAnswer: 2, 13, 23, 911201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27148 - -108595\/4. Let h = 471 - 23080\/49. Let j = h + -40\/441. Which is the third biggest value? (a) 0.1 (b) i (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -3*s**2 - 1. Let r = 14 + -7. What is the remainder when l(-2) is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -239*f - 229*f + 704*f - 236*f + 962*f**2 to the form z + i*f + j*f**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (13 - 13) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-22))\/((-17)\/((-19448)\/(-702)))\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gro when three letters picked without replacement from dgorrdggogdd.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.051404819 to 3 decimal places.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -43*s + 23. Let m(x) = -15*x + 8. Give 6*i(d) - 17*m(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 642722 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 - 85422872*k\/3 - 1824266765182096\/3.\nAnswer: -(k + 42711436)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - 3*f + 2*f**4 + 1 + 14*f**4 - 2*f**4 as q*f**3 + u + p*f + r*f**2 + g*f**4 and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 13 = -5. What is the closest to n in -0.2, 0.5, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -268*c**2 - 828*c**2 - 16*c + 4*c + 13*c in the form x*c**2 + s + l*c and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kul when three letters picked without replacement from {l: 1, u: 2, g: 2, j: 1, t: 1, k: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12874 + 12876 = -2*j - 4*d, -j + 27 = -5*d for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249, -982, -2197, -3894, -6073, -8734, -11877?\nAnswer: -15502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - q + 7860, q = -4*k - 1437 + 7725. List the prime factors of k.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d*k**4*u**3 + 30*d*k**3 - 28*d*k**2*u**3 - 2*d*k**2 + d*k*u**3 + 2*k**2*u**2 wrt k.\nAnswer: -72*d*k*u**3 + 180*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40052331 (base 6) in base 2?\nAnswer: -100010011000101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.6 - -6. Let x = 32 + -36. Let l = 0.3 + -0.5. Which is the smallest value? (a) s (b) l (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 760680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -164, -328, -494, -662, -832, -1004?\n\"Answer: -z**2 - 161*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2 + 65318*x - 457128 = 0.\nAnswer: 7, 32652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 12:46 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27469 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2))\/(2\/4). Let m be c\/(-3) + (-40)\/(-3). Let s = 179 + -127. What is the greatest common factor of s and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4273 + -1615223\/378. What is the common denominator of g and 43\/924?\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 440, 880, 1316, 1748, 2176, 2600?\n\"Answer: -2*j**2 + 446*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4253, 4228, 4203, 4178, 4153, 4128?\n\"Answer: -25*r + 4278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 57 = -5*k, k - 3*k + 6 = 0. Let g be (4\/8)\/(1\/i). Let l be g\/(-36)*114*1. What is the highest common factor of 19 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb974a (base 13) in base 8?\nAnswer: -20667524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 343540 - 4?\nAnswer: 343533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120*d**3*j**2 - 3647*d**3*j - 3*d**2*j**2 + 23*d**2*j + 5*d**2 - 110*d*j**2 + 3*j**2 wrt d?\nAnswer: -720*j**2 - 21882*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5 + -8)*(-13)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(2\/(-8)*1). Let v be (-2)\/(-1) - (-28)\/(-14). Solve z*q - 2 - 18 = v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -452401 - -13?\nAnswer: -452344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n**(1\/6)*n))\/n*n**(-4\/9))**35)**5)**(1\/9) assuming n is positive.\nAnswer: n**(-5075\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, r: 2, t: 1, g: 1, u: 1, p: 1}. What is prob of picking 2 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14513526.\nAnswer: 2, 3, 397, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 555, 539, 495, 405, 251?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3333 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-15 - -9 - 8) + 0).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*(6 - 1). Let p = -5.13 - -0.13. Let j = 6 + p. Sort l, -0.5, j.\nAnswer: l, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -189.6 + 192.6. Put 0.3, -0.08, 2, w in increasing order.\nAnswer: -0.08, 0.3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**4 - 36*f**3 + 361*f**2 + 34207*f + 1 wrt f.\nAnswer: 24*f**2 - 216*f + 722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 638 and 496045?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1543463, 1543493, 1543523?\n\"Answer: 30*g + 1543433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -10. Solve c*k - f = 0, -3*k - 5*f - 5 = 21 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*q - 24 = -195*q. Let i(j) be the second derivative of 0*j**3 + 0 + 1\/70*j**5 - 1\/105*j**6 + 1\/42*j**4 + q*j + 0*j**2 - 1\/147*j**7. Factor i(g).\nAnswer: -2*g**2*(g - 1)*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7161910.\nAnswer: 2, 5, 7, 101, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*(((sqrt(605) - 1*sqrt(605)) + sqrt(605))*-5 + -2 + sqrt(125)*-2))**2.\nAnswer: 9750*sqrt(5) + 528350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 2:50 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4, 4*d - 2*l = 134 + 14. Let n = d + -10. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-2 + 3 + (28 - 30))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 7:24 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1566404?\nAnswer: 2, 7, 43, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*n = 122*n - 15*n + 3687 - 19745 for n.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*v - b - 19, 0 = -b + 5. Calculate the highest common factor of 8 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1689 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6725817 centuries?\nAnswer: 807.09804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgm when three letters picked without replacement from gppzgzrmmmdgppgdpp?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -315?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-1)*1)\/(-1) - -1. Suppose z = y - 36 + 7. What is the remainder when 55 is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/17 (b) -0.011 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*z + 284 + 210 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 4:49 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 720000 = -8*u. What is u rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4431, 1, -23.\nAnswer: -23, 1, 4431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z - 9*z - 1 + 7*z + 6.\nAnswer: -11*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28148965 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5668098 divided by -582\nAnswer: -9739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 42549 divided by 828\nAnswer: 14183\/276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.946803 tonnes to micrograms.\nAnswer: 9946803000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11958 + -7457. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0*k + 7*k)*(3*k**3 + 0*k**3 - k**3)*((2 - 2 - 1)*(-1 - 1 + 0) + 2 + 2 - 2 + 1 - 3 + 0)*(1 + 0 - 2).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0685 - 915.0685. Let b = g - -915.00001143. What is b rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9*j*j**(-3))\/(((j*j**(-8\/5))\/j)\/j*j*(j*j\/(j*j**(5\/6)*j)*j)\/j) assuming j is positive.\nAnswer: j**(283\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43461314 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6752 + 6807. What is the smallest value in 3, u, 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -261 + 273. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b + 1684 = 1624 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -94, -65, 4, -2, -4.\nAnswer: -94, -65, -4, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-24))**(-50) assuming w is positive.\nAnswer: w**1200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -229\/4 + 56. Let v = -14 + 10. Let o = -4 - -4. What is the third biggest value in o, v, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3342 (base 6) to base 9\nAnswer: -1058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2679, -1837, -997, -159, 677?\n\"Answer: -x**2 + 845*x - 3523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8\/173 + -20\/15397. Are b and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -367708, -735416, -1103122, -1470826, -1838528?\n\"Answer: f**2 - 367711*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssfwgrfrssfggf. What is prob of picking 2 s?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 42*n**2 - 51198*n - 2203362. Give u(-43).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7.4 and 0.00454.\nAnswer: -7.39546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/3, -8, -1\/10, -3, 5, -1\/12, 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -15\/3554?\nAnswer: -15\/3554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 9:22 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -16 (b) 5 (c) -269 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1691 - -1713. Suppose 3 - 7 = -x. What is the least common multiple of x and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*(-7)\/(-455)*-65?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 2:46 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + -2*sqrt(1331) - (((sqrt(11) + sqrt(11) + -1)**2 - sqrt(11))*2 + -3)).\nAnswer: -90 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7343, 14696, 22049, 29402?\nAnswer: 36755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - l - 1732 = 0, -2*l = 3*c + c + 1382. Let i = c + 817. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 47\/1939764?\nAnswer: 47\/1939764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(15\/(-36)))\/(-15*(-57)\/(-2565)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 2 = -3*p - 3*a, 3*a = -p + 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3011713 - -1590184991\/528. Let l = h - 15\/16. Let m be (1 - 1 - 0) + 0. Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i + 63. What is m(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58950 by 1.\nAnswer: -58950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 + 1 = 0. Suppose 2*h - r = 193 - 186, -5*r - 5 = 0. What is the units digit of (-1)\/(h\/(-333)) + y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-100)*4*-20. Let o be (-16)\/(-6) - (n - 1). Which is greater: -21 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62 + -112?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5517*k - 60951 = 479715 for k.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 901*x + 63031. What is q(-70)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.0426, 0.06 in descending order.\nAnswer: 2\/9, 0.06, 0.0426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5490*h**2 + 30304 with respect to h.\nAnswer: 10980*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30.7 - -32. Let z = 2.3 - t. Sort -3, z, 27 in descending order.\nAnswer: 27, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10416 divided by 336\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - s**2. Let d be t(1). Let a = -3 - -23. Suppose -8*u = -1 - 39. Solve d = 3*p - u + a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 18*a**2 + 22*a - 47. What is f(19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 17}. What is prob of sequence kkk?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 107563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*x + 236*x**2 + 226*x + 449*x**2.\nAnswer: 685*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 4260?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 3*b + 2. Let v be ((-4)\/14)\/(20\/7 - 3). Let j(c) = c**3 + 7 + 175*c**2 - 178*c**2 - 6*c - 4*c. Give v*j(k) - 7*o(k).\nAnswer: 2*k**3 + k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 3*v = -11*q - 2, 10 = -5*q - v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119150, -476599, -1072348, -1906397, -2978746?\nAnswer: -4289395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -15774*z**2 - 9*z. Let b(j) = -j**2. Give q(b(d)).\nAnswer: -15774*d**4 + 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*z - 66, -45 = -3*u - 4*z + z. Let x(s) = s**2 - s + 4. Let n be x(0). Suppose n*a - u = -4. Solve 0 + 4 = a*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1394154 is divided by 589?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*j*u**3 + 3*j*u + 61*u**3 - 280*u**2 - 2*u wrt u?\nAnswer: 120*j + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -375 + 1689. Let w be 0 + -2 + 1 - -1. Suppose w = 3*m + 3*z - f, 9*m - 4*m + 4*z = 2192. Round m to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, p: 2, v: 1, u: 1, e: 2, b: 7}. What is prob of picking 1 z and 3 b?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 124\/(-28))*(-1)\/2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 3*s - 3. Let l be 10\/(1 + 1\/1). Give g(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1966830688 a multiple of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 17*b**2 - 24*b - 57. Let g be x(-27). Suppose 5*t = -19*t + g. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-17)*f*f*f*f**4*f)**(-43) assuming f is positive.\nAnswer: f**387","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -306205851 or -306205850?\nAnswer: -306205851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 5*k**2 + k + 12. Let w be g(-5). Let t be w - ((-16)\/4)\/(-2). Let r(s) = -3*s + 15. Let l be r(t). Solve 3*a + 3 = -l*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4*s - 28*s**3 + 1608*s**2 - 3209*s**2 + 1603*s**2 + 2*s**4 to p*s**3 + n*s + z*s**2 + x*s**4 + i and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/135*(-21)\/(-8)*122\/7.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 973913 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -178178 divided by -748\nAnswer: 8099\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.82 - 4.9436. Let j = -0.0566 - r. What is j rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-6 - 0) + -1 + -20 + 15\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/5 and 0 + -1 + 28\/(-48)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*d - 4*d + 169 - 167)*(5*d - 3*d - d) to the form a + y*d + s*d**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1131 and 10608?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85730.\nAnswer: 2, 5, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (0 + -16)) + 81 + -41 + -40\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24120 and 210.\nAnswer: 168840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1\/6 (c) 0.1 (d) -3 (e) 19 (f) -42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-729905)\/(-43275)*(-15)\/(-66)\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-4 + 0) + 1056\/224.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*z**2 - 185*z**2 + 11*z**3 - 4*z**3.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 403 - -71. Suppose 4*m = j + c, -5*m + 2*j + 588 = 3*j. What is the remainder when m is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1025444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 4*r + 2*r)*(0*r + r - 5*r).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 9. Let w be j(6). Let a = 0.10613 + 93.67387. Let y = a - 94. Put y, w, 1 in decreasing order.\nAnswer: 1, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50 - 61)*4\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-231)\/(-33))\/(7\/(-2)))\/(19\/1).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3\/2 + 13*y**2 + 32*y + 16 = 0. What is y?\nAnswer: -4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r = 0. Suppose r = 2*l - 2 - 8. Suppose 0 = -2*v + l*v - 54. Calculate the highest common divisor of v and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92649270 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8a79 (base 11) to base 16.\nAnswer: 26a92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 231 = j. Calculate the common denominator of j*(-2)\/(-16) + 2 and 101\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 0 - 2*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 11. Suppose -2*p = -p + 8. Let v = 21 + p. Calculate the remainder when u(12) is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from qnnntantanqn?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4*h - 90 - 34, h = -5*q + 147. Suppose 2*x - q - 15 = 0. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.86 plus -4436599014?\nAnswer: -4436598954.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*x**2 + 2 - 3*x**2 - 3*x**2 - 158*x.\nAnswer: -27*x**2 - 158*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3849?\nAnswer: 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12.4 and 16056548158.\nAnswer: 16056548170.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*b + 234, 210 = -11*b + 14*b + 5*r. Let g = b - 72. Solve 9 = -3*m + g*j, -2*m - 2*m - 3*j = 26 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 - (-9 - -12 - 9 - (-1 + 8 - 8))\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/4 of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39212419.\nAnswer: 6247, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -253.29 and -89.\nAnswer: 22542.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15459855 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -99838277*y - 133687629 wrt y.\nAnswer: -99838277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9660?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 34*w**2 + 618*w + 73. What is the remainder when j(47) is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.5, 26, 51, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*0.331.\nAnswer: -0.01324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - p + 76 = 0, 5*c - p = 150 + 26. Let o = c - 36. Suppose k - 28 - 16 = o. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h**4\/5 + 156*h**3\/5 - 102*h**2\/5 - 56*h\/5 + 18\/5 = 0. What is h?\nAnswer: -1\/2, 1\/4, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 24 = -137. Let z = l - -221. Is z a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + -2 + (-1 - -3). Suppose 0 = -w - 3*s - 15, -c*s - 28 = -2*w + 6*w. Is w equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3484 + -1281. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -244, -304, -364, -424?\n\"Answer: -60*w - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 80 (b) -569 (c) 0.428 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**8\/56 + 167*n**6\/5 - 925*n**4\/12 + 202*n. What is the third derivative of g(l) wrt l?\nAnswer: -120*l**3 + 24048*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42890*j**3*p**2 - 314*j**2*p**2 - 5*j*p**2 - 4*p**2 wrt j?\nAnswer: 257340*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 9*k + 19. Let u be r(-9). Let f = 75 + u. Let d = f - 10. Solve -h = d - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p. Let c(q) be the third derivative of -q**5\/15 + q**4\/6 - 2*q**3\/3 - 121*q**2. Give v(c(j)).\nAnswer: -4*j**2 + 4*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjquhjurjjhqqkkjuqqj. What is prob of picking 2 r, 1 k, and 1 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3 + 5. Suppose -25 = -2*q - 3*q. Suppose -4*y + j + 0*j = -6, -4*y - q*j + 18 = 0. Sort f, -3, y.\nAnswer: f, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41814 divided by -23\nAnswer: -1818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 689 = 681. Let f(x) = -2*x**2 + 3*x + 5. Determine f(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94*i**4*l*q - 7*i**3*l**3*q - 2*i*l*q - l**3 + 2*l**2*q - 301*l**2 wrt i?\nAnswer: -1128*i**2*l*q - 42*i*l**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 389032 bigger than 389191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 47*m**2 + 133*m + 48. Determine v(-44).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o - 4*c - 28 = -19*o, -4*o - 4 = -2*c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(840\/49))\/((-952)\/(-170))?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 9*p - 8. Let f be j(8). Let g = -168 - -168. Suppose z = -a + 9, -4*z + g*a + 5*a = f. Sort z, -0.2, -2\/7, 7.\nAnswer: -2\/7, -0.2, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14206 + 14228. Solve -13*l + 30 = -2*s - 8*l, 3*l - u = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-6)\/(-5))\/(3*(-4)\/(-360))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-1) + 133228\/(-1292) + 81?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2. Let u(m) = -4*m**2 - 5*m. Let q(y) = 6*y**2 - 2*y**2 - y - 5*y**2. Let w(k) = -15*q(k) + 3*u(k). Determine w(i(r)).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggge. Give prob of sequence ee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 815 + 8251 = 68*y. Solve -31 + y = -16*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.36 + 1.2. Let d = 0.36 + z. What is the smallest value in d, -0.3, -1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14612*u + 14606*u - 30 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-25)\/10)\/((-3)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + ((1 - -3) + -2 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.583494ng to milligrams.\nAnswer: 0.000001583494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3 - 399*g**2 - 53067*g - 2352637 = 0. What is g?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 564 (b) -23 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 50860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 5*d + 161, 4*r - 280 = -d + 326. Let g be 4 + (5010\/(-33) + 0 - 3). Let m = g + r. Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**3 + 36*t**2 + 9*t + 349. Give m(16).\nAnswer: -2579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhtthththhthhh. Give prob of picking 2 h and 1 t.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114625.\nAnswer: 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4416 - 4352. Let o(f) = f**3 + 6*f**2 - 4*f. Let n be o(-5). Let t = j - n. What is the greatest common factor of t and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-15)\/(-45)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 6\/27 - 156\/(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -11*d + 7*d + 21, -2*d = 5*u - 21. Solve -4*s - 19 = -u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 514*i**2 - 263*i**2 - 56*i**3 + 1 - 251*i**2 to u + t*i**3 + v*i**2 + s*i and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from zbmaq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**7\/630 - a**6\/180 - a**5\/180 + a**4\/36 + 3*a**2\/2 - 3. Let b(v) be the second derivative of p(v). Let b(q) = 0. What is q?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(100\/36 - 4) - -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 16 = 6*w. Suppose 5*l + 0*x - x = 29, 0 = 4*x + w. Calculate the smallest common multiple of l and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(4\/(-368)*-4). Which is greater: -0.2 or t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2, 5\/1124 in decreasing order.\nAnswer: 5\/1124, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560119?\nAnswer: 7, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1704 is divided by 507.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8)*(29 - (9809884\/4995)\/68)\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 24, -2, -48, -120, -224, -366, -552?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5*w - 8*w = 7, -5 = -l + 2*w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/6 - (-11335)\/15. Let x = 1122 - k. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 607813 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1610, -1614, -1618, -1622?\n\"Answer: -4*x - 1606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2275.13 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/8 + (9\/(-12))\/(-1). Let s be x\/12*93 + 2\/8. Determine z so that -10*z**2 + 25*z + z + s - 6*z - 18*z**2 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 9, 30 = 5*s + 5*j - 50. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4139701 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2))**(-11))**(-21)*(i**1)**(-18)*((i\/(i**1\/i))\/i)**(2\/19) assuming i is positive.\nAnswer: i**(-267\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -142135976.\nAnswer: 710679880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/74*(-2)\/15*71\/(12496\/220)?\nAnswer: 1\/148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1 + 1 - 1. Let x(n) = -73*n + 2730. Let c be x(36). Let l(r) = 2*r - 17. What is c*h(v) + 6*l(v)?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o**3 + 4*o**2 + 4*o. Let t(f) = 3596*f**2 + 7*f**3 - 5*f - 1 + 1 - 3601*f**2. Calculate 5*a(m) + 4*t(m).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 2*w - 2*w)*(1 - 1 - 5) + 1 - 1 + w + (-3*w + w + 0*w)*(-4 + 2 + 0).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*q**3 + 987*q**2 - 291*q + 21 = 0. What is q?\nAnswer: -7, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1784 divided by -2.\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q**3 + 369*q - 563*q + 194*q.\nAnswer: 30*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -4. Let d = 37.2 + -32. Let l = d + -5. Which is the closest to -2\/3? (a) o (b) -4\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g**3 + 3*g**2 + g + 12. Let o(s) = s**3 + s**2 + s + 2. Calculate 3*o(v) - y(v).\nAnswer: -4*v**3 + 2*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-65)\/150*-58 - (-4)\/(-30). Let p(t) = 3*t**2 - 39*t + 69. Does 17 divide p(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*(sqrt(19) + 1) - (sqrt(1900) + -3)*2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 4.8. Which is the second biggest value? (a) l (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -305725 or -305723?\nAnswer: -305723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*h + 0 - 2 + 2 to the form b + z*h and give z.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 4, 8\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o**2 + o + 1. Let j(r) = 6*r**2 + r + 1. Let c = -46 - -51. What is c*j(z) - 4*i(z)?\nAnswer: 2*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276 divided by -69.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 7 - 3. Let k(r) = -1. Let d(p) = -7*p**3 - p + 6. Let l(x) = -d(x) - 6*k(x). Calculate the smallest common multiple of 11 and l(s).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -152 - 43*k - 7*k**2 + 66*k - 146 wrt k.\nAnswer: -14*k + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 9*n**2 + 51*n + 328. What is h(-8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 14*t - 12*t**2 - t + 7*t**3 - 9 + 4*t**3 - 10*t**3. Let m be (1 - 3)*11\/(-2). What is the tens digit of r(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.23 (b) 2\/24551 (c) 46.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d**2 + d + 1. Let n be 10\/(-20)*546\/(-3). Let z = n + -89. Give c(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 6\/79, 1381?\nAnswer: 1381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/2 - -1) + -1. Suppose u = 3*r + r - 24. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2254982 and -2255019 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 7:39 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21 + -1)*(-7)\/10. Let i = o + -15. Let v = 209267\/7 - 29895. Which is the nearest to v? (a) 2\/13 (b) i (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -305*r - 23445. Determine w(-77).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from {y: 4, x: 4, d: 1, v: 2, q: 2, e: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11323311 (base 5) in base 12?\nAnswer: -507bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-4 - (-11 + 2)) - -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 2*z**2 - 2*z + 237. Let s(l) = -4*l**3 + 7*l**2 + 7*l - 710. Give -2*s(v) - 7*t(v).\nAnswer: v**3 - 239","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 16. Suppose 10 = -n*a + 7. Which is bigger: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172773 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 289 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20844927 and 93?\nAnswer: 20844927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1723*b**3 - 2662*b wrt b.\nAnswer: 10338*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7*o. Let k(y) = 7*y. Let x(h) = -3*h. Let w(s) = -6*k(s) - 15*x(s). Let d(z) = -4*m(z) + 9*w(z). Let j(g) = 3*g. Give d(j(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -79, -105, -151, -223, -327, -469?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -38444797 divided by 79\nAnswer: -486643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from joojjojjjoj. What is prob of picking 1 o and 1 j?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 418163063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -11 + 2762858\/56 + (-1)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -372.\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a**5 - 15*a**4 - 552*a**3 + 2102*a**2 - 2568*a + 1017 = 0. Calculate a.\nAnswer: -113\/16, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7207.738 millennia in decades?\nAnswer: 720773.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 m when three letters picked without replacement from pmlpllprllmrral.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 36, 50, 80, 132?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*w**3 + 2409*w**3 - 2296*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -141 - -135. Let s(x) = -2*x**2 + 5*x - 3. Let v be s(4). Does 16 divide (b\/(-4))\/(v\/(-220))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(612) + -4)**2 + (-3 + sqrt(272) + 0)**2 - (((sqrt(187)*-1)\/sqrt(11)*-4)**2 - (-3*sqrt(17)*2 + -2)).\nAnswer: 66*sqrt(17) + 2471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4 = 14. Let i be (0 + p)*(6 + -10). Suppose 4*a + i*a - 22812 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2\/19))\/(b\/(b\/b**(1\/2)*b)))**(-10) assuming b is positive.\nAnswer: b**(-305\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + 2 - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*s**3 - 147*s + 149*s - 37*s**3.\nAnswer: -298*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.05 + -0.35. Let l = p - 13. What is the closest to -3 in l, 0.2, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**2 + 58*i - 296. Determine b(9).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/38178 and -151\/1458.\nAnswer: 1030806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 4) + -1 + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88*s**3*x**2 + 2*s**3 - s**2*x**2 - 2*s**2*x - 86*x wrt s?\nAnswer: 528*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3*-1)\/(1 + -2). Let x = -12 + 11. Let g(d) = -1. Let v(o) = 2*o - 5. Determine s*g(l) + x*v(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58 and 22?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-20) - 234\/15. Let s be 232\/c + 2\/4. Let h be (-66)\/s - 10\/(-35). Solve -h*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 30. Which is the nearest to 2\/3? (a) 1\/8 (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkiiinnnkkitnniikn. What is prob of picking 3 k and 1 t?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*q + 9463 - 7717 = 0 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-213 - -216) + (0 + -4 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**3 + 5*x**2 + 9*x - 5. Suppose -16*d - 32 - 48 = 0. Let o(g) = 2*g**3 - 2*g**2 - 4*g + 2. What is d*o(i) - 2*s(i)?\nAnswer: -2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4047399 - 4047026.9306. Let w = f + -372. Let o = -0.07 + w. Round o to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 22 = 34. Let u(m) = 2*m - 2. Let q = 22 - 16. Calculate the smallest common multiple of d and u(q).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 + 11 + 26 - (0 + -17 + 3).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5400 divided by -100.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 374 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*a - 16, 2*a - 5*v - 23 = -0. What is the third derivative of 0*g**6 - g**6 + a*g**6 - 12*g**2 wrt g?\nAnswer: 960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -473*m + 458*m = 105. Let s(h) = h + 6. Let v(x) = 3*x + 18. Let o(d) = -11*s(d) + 4*v(d). Calculate o(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43 and 2611691?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9344 = -54*g + 945*g + 277*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 + -1049. Let k = r - -1662. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(171) - (sqrt(171) + 6*sqrt(171)*1 + sqrt(171))) + sqrt(171) + sqrt(171)))\/(sqrt(72)\/(sqrt(16)\/sqrt(2)) - sqrt(90)\/(2*sqrt(10))).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38027449871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.648 and -0.5?\nAnswer: 0.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 1, 553 in descending order.\nAnswer: 553, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*p - 4*x, 3*x = 2*p - 11 - 8. Solve g + 17 = -p*t - g, 3*g - 2 = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -12*z + 78. Let o be g(6). Let u = 5 + -5.4. Which is the nearest to o? (a) 2\/9 (b) 1\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147023305 to the nearest integer?\nAnswer: 12125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 35*g + 393. Determine u(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.6 - -25.4. Let x = 12.1 - -0.9. Let u = x - c. What is the nearest to u in 0.5, 2\/3, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*y - h, 3*y - 12 = -4*h + 3. Suppose -3*u + 19 = -3*f - 11, y*u = 2*f + 29. Let g(t) = -2*t - 9. Calculate g(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-300)\/7)\/15)\/((-8)\/56)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 513c582 + -4?\nAnswer: 513c57b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6867 times -9\nAnswer: -61803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*w - 28*w = -160 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -38, -72, -106, -140?\n\"Answer: -34*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e7 - -69b3?\nAnswer: 6aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11*z**2 - 17*z. Let r(y) = -5*y**2 + 11*y. Let g(c) = -9*c**2 + 22*c. Let j(k) = -2*g(k) + 5*r(k). Let l(v) = -8*j(v) - 5*q(v). Calculate l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 311\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1508 + 1655. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**3 + 3*j**2 + 3*j - 13. Let b(t) = 6*t**3 + 4*t**2 + 3*t - 14. Determine -3*b(m) + 4*i(m).\nAnswer: 2*m**3 + 3*m - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -0*k - 18. What is the remainder when 3 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 168 and -0.63.\nAnswer: -105.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50926*t**3 - t + 15568.\nAnswer: -305556*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 80. Let p be l(0). Let c = 39191 + -39175. Calculate the highest common divisor of c and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v + 5897 = 874934 + 30488. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-139)\/((-65052)\/2574) - (19 - 1).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5510 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -11. Which is the biggest value? (a) n (b) 2 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 2209500*j - 406824187500.\nAnswer: -3*(j + 368250)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*n - 0*n - 2*l, -5*l = -15. Is -4 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*(sqrt(2299) + sqrt(2299) + -1))**2 - (2 + sqrt(2299) + 1)).\nAnswer: -187*sqrt(19) + 36784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 785794505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13464 is divided by 148?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1703*x - 72 = -1715*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1900 and 49495.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - ba?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/3))**(-19)*s**4*s**(-1\/4))\/((s**(-1\/4))**(2\/73)\/(s**(-1\/4)\/s)**(2\/35)) assuming s is positive.\nAnswer: s**(-55073\/6132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-102*m + 61*m + 59*m - 22)*(-3*m**3 - 3*m**2 + 3*m**2) in the form a + q*m**3 + x*m + z*m**4 + v*m**2 and give q.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/18 (b) 0.4 (c) 0.14 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -603, 3\/4, 0.98, 4, -4\/9 in increasing order.\nAnswer: -603, -4\/9, 0, 3\/4, 0.98, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 131503328 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2525\/(-300) + 1\/(-12)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 - 6*j**4 + 23*j**4 - 21777*j**3 - 10 + 21774*j**3 wrt j.\nAnswer: 68*j**3 - 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 346707.74 rounded to the nearest one hundred?\nAnswer: 346700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/14 - -1\/14. Let c(j) be the first derivative of -b*j**2 - 2\/21*j**3 + 2 + 4\/7*j. Factor c(k).\nAnswer: -2*(k - 1)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/308211776 and -41\/5025192.\nAnswer: 924635328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4798307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (1981 - (-143)\/13). What is the greatest common factor of 4 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c + 0*c - 40 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 587 = 3*f, f - 17 = -m - 596. Let d = -463 - m. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-14) + 264\/42. Suppose -3*g = -g - t. Let m be 1\/(g\/(-5)) + 0. Which is the closest to -0.1? (a) 3 (b) -1\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 13*m + 1. Calculate g(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8859\/(-6)*(2 + -4). Let q = 1902 - x. What is q rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-9 + 0 - -12)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686281556 to the power of 1\/2, to the nearest integer?\nAnswer: 26197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(70)\/(sqrt(50)\/sqrt(5)) + -2 - (sqrt(1008) + (sqrt(1008)*-3 - sqrt(1008)) + sqrt(7) - (sqrt(7) - (5*sqrt(28) + sqrt(7)))))**2*3.\nAnswer: 468*sqrt(7) + 14223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 186 - 123. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -14125*o. Let r(v) = -107*v. What is 6*l(b) - 791*r(b)?\nAnswer: -113*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -190.9? (a) 5 (b) -4\/25 (c) -13 (d) 12 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15727 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 1544*y + 148996.\nAnswer: 4*(y - 193)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/2 + -5 + 3. Let r = s - 4. Suppose 3*w = 12, r*w + 8 = -t + 39. Solve -3*f = -t, 2*y = -y + f - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruurururuuu. Give prob of picking 3 r.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -487212, -487180, -487148, -487110, -487060, -486992?\n\"Answer: c**3 - 6*c**2 + 43*c - 487250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 - (-5 + (6 + 11 - 15) - -4).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70954 and 98176.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.08, -596, 1\/11, -5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12998751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/20)*((b*b**9\/b*b)\/b)\/b*b*b assuming b is positive.\nAnswer: b**(203\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/6*((-3168)\/(-20))\/(-24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7726917 milligrams?\nAnswer: 0.0000007726917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 11*j + 6. Calculate x(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 - -233526.\nAnswer: 233526.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 12:16 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3258778 or 3258923?\nAnswer: 3258778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172 (base 8) in base 11?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -2*i - 15. Suppose -i*u - 631 = n - 3*n, -3*n - 4*u = -938. Suppose -b + n = 2*t, -b + 0*b = -t + 157. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2\/5 - 16706672*c\/5 - 34889111164448\/5 = 0. Calculate c.\nAnswer: -4176668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -138*c**2\/5 + 1641*c\/5 + 36 = 0. What is c?\nAnswer: -5\/46, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.231, 3\/2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, m: 5, z: 3}. Give prob of picking 3 z and 1 m.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8729\/646 - 4\/323. Factor a + 3\/2*v**2 + 9*v.\nAnswer: 3*(v + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3.9301.\nAnswer: -5.9301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 9*k - 692340 + 692340. Let l(r) = -5*r**2 + r**2 - 5*r**2. Determine l(g(b)).\nAnswer: -729*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.99742mm in meters?\nAnswer: 0.04399742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -188, -6, -2\/5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k + 1. Let o be (-12)\/2 + 2 - -2. Let t be d(o). Suppose -n = b + n - 13, 0 = -b - 3*n + t. Calculate the greatest common divisor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/512 and -37\/1408.\nAnswer: 5632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24 + 2 - 6*15\/(-45). Solve -4*t + 22 = v + s, 3*t = -5*v + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 4*f + 15. Suppose -105 = -f*c + 39. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345\/13 greater than 102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 0 - 1) + (-680)\/238?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4013 + 9979. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5546649444?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 - (-18 + 25 + -55)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*a - 13. Suppose -c + a - 2 = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tggt when four letters picked without replacement from {t: 6, g: 1, i: 8}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 43.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) 17364\/5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13817, -12156, -10495, -8834, -7173, -5512?\n\"Answer: 1661*d - 15478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4164063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + sqrt(98))**2 + sqrt(2).\nAnswer: -27*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*40\/(-25)*40\/32.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - -86. What is the remainder when (-44)\/(-132) - z\/(-3) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5153698?\nAnswer: 2, 11, 234259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 286497, 1 in ascending order.\nAnswer: -4, -2, 1, 286497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 476*u**2 - 8*u - 1904.\nAnswer: 2*(u - 2)*(u + 2)*(u + 238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 6*d**2 - 2*d + 10. Let u be b(6). Let q be ((-17471)\/u)\/((90\/12)\/15). Suppose 12*z - 6205 = q. 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 (-22254)\/(-66762)*258\/10?\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -3. Let g = -10 - s. Let f be 1\/((0 + g)\/3). Put f, -5, -4 in ascending order.\nAnswer: -5, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8748, -8749, -8750, -8751, -8752, -8753?\nAnswer: -8754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 941041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omyovbbmombotom. What is prob of picking 1 y and 2 b?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 532 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 9639840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 35*a**2 - 28*a - 202. Determine j(34).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -18*v**3 - 9*v**2 - 5. Let p(z) = -17*z**3 - 11*z**2 - 6. What is -3*p(k) + 4*q(k)?\nAnswer: -21*k**3 - 3*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**4 - 951*z**3 - 2871*z**2 - 2877*z - 960 = 0.\nAnswer: -1, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/((j*j**(-1))\/j)))\/j)**(-6\/11)*(j\/(j**(-4\/7)*j*j))**(-29))**(29\/5) assuming j is positive.\nAnswer: j**(30189\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56 + 14c?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = 14*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 6*c - 124, 4*c = -110*a + 56*a + 51*a + 6*c - 35 - 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 33757870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 17349 = l, 2*p - 5*l + 9164 = 2229. What is the units digit of 1\/6 + p\/(-60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -1 + 2 + 1. Suppose 5 = b*j - j. Suppose 2*w = j*x + 30, w - 9 = 4*x + 3. What is the greatest common factor of w and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20576 and 295137.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*k. Let z be 2 - 0 - 2 - -4. Solve -z*h - h + 25 = k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, v: 9}. Give prob of sequence mmvv.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 = 32567\/189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.245 - 0.145. Let h = 8.9 - l. Round h to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -18, -27?\n\"Answer: -9*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115604, 231414, 347224?\nAnswer: 463034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**(1\/6)\/t)\/t*t)*t*t)\/t)\/(t\/(((t*t*t**(-3\/8))\/t*t*t*t)\/t))*t**(2\/7)*t\/t**(-2\/7)*(t**(2\/5)*t**(-1\/2))\/(t*t*t**6*t*t**(-4)) assuming t is positive.\nAnswer: t**(781\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1300) + sqrt(1300) + (1*sqrt(325))**2)*-5.\nAnswer: -1625 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/135)\/11 - (-17864)\/660?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/9, 92628, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2057 - -2061. Solve 4*t = c*v + 22 + 6, 5*t = -v + 17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 + 189 - 165*l**2 + 331*l**2 + 82*l**2.\nAnswer: 248*l**2 + 290","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74984 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/302584 and -37\/750214.\nAnswer: 327093304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 18*n**2 - 22*n + 31. Let i = -134 + 58. Let p = -95 - i. Is y(p) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 2*j**4 - j)*(311 - 1064 - 849) in the form u*j**4 + t + p*j + l*j**2 + z*j**3 and give u.\nAnswer: 3204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, o: 2, w: 1, v: 4, q: 4, t: 2}. Give prob of sequence woqt.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/6)*j*j\/(j\/(j*j**0))*(j\/j**(-1\/5))\/j**(-3) assuming j is positive.\nAnswer: j**(181\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -253090 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.076*0.2152.\nAnswer: 0.0163552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - -112. Let j = -130.93 + y. Let k = j + 0.73. What is the third smallest value in 0.4, 7, -1, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**4 + 2575*j**3 + 2530*j**2 - 20620*j - 30840 = 0. What is j?\nAnswer: -514, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -19. Suppose -5*k + 2*z + 12 = 0, 8 = x*k - 3*z + 4. Is k at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20416160 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-205)\/82 + 21\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4177, -4208, -4239, -4270?\n\"Answer: -31*b - 4146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 10:54 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 424 - 755 = 0. Calculate the remainder when v is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 133*r + 32. Let y be d(-2). Let v = -232 - y. Solve -j = n + 2, j = -0*j - v*n - 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 - 41 = -56*h - 221. Are -153\/38 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 18030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1027, -1029, -1033, -1039, -1047, -1057, -1069?\nAnswer: -1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**2. Let s(x) be the second derivative of -x**3\/3 - x**2 - 666*x. What is i(s(a))?\nAnswer: 16*a**2 + 32*a + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - 5*(sqrt(95) - -1*sqrt(95)))\/sqrt(5)*4.\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000506217 to six decimal places.\nAnswer: -0.000506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psi when three letters picked without replacement from aiiipaislsliaaiiap?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Let r be (-2)\/(-5) + (-3)\/45. Find k, given that r*k**2 + 0 + u*k = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/3 + 84724*h**2\/3.\nAnswer: 2*h**2*(h + 42362)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -16. Let f = 1165\/22 - 53. What is the closest to o in f, 0.1, 1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b + -30a90?\nAnswer: -30a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -765*n - 142. Let y be g(4). Round y to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9320.709 months?\nAnswer: 776.72575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -82644405543*l**3 + 47290786110*l**2 - 37390951*l + 7396.\nAnswer: -(7*l - 4)*(108657*l - 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/96)\/(33\/44)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.5 (b) -4 (c) -0.03 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1102)\/(-57) + -19)\/((-8)\/6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5}. Give prob of picking 4 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 845*a - 1543*a = -17450 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**9)\/(v*v**6*v))\/(v**(1\/4)*v**(8\/7)*v)*((v\/(v\/v**(3\/4)))**(18\/7))**(-4\/13) assuming v is positive.\nAnswer: v**(-6911\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -71*j**8\/112 + 79*j**4\/24 - j**3\/6 + 11*j**2. What is the second derivative of f(d) wrt d?\nAnswer: -4260*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3685 - 9434. Let q = x - -5746.9005. Let r = -2.1 - q. What is r rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (4 + 3)) + 7 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = -67*t - 1523 - 1032 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -1\/3*q**3 + 1\/20*q**5 + 15*q**2 - 7\/6*q**4 + 0 + 8*q. Let g be i(14). Solve 3*t = -g*t - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (2 + 3 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55286 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427027?\nAnswer: 113, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 20*l = -u - 13, 9 = 2*u - l. Solve -t**2 + 4*t**u - 3 - 2*t**2 - 6*t + 17 - 3*t = 0 for t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -176*g**3 + 148181*g**2 - 1381157584*g?\nAnswer: -1056*g + 296362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 43 - 8 = 0. Let f(k) = -k**3 + 6*k**2 - 8*k + 17. Let w be f(t). Solve 3*v = -3*q - v, -2*q - 2*v + w = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 356*h - 11. Let p(y) = 190*y - 6. Let i(l) = 6*n(l) - 11*p(l). Let s(o) = 42*o. Calculate s(i(t)).\nAnswer: 1932*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152915.\nAnswer: 5, 7, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**3 + 4*a**2 + 1. Let s(g) = 8*g**3 - 11*g**2 - 4. Let c(k) = -4*s(k) - 11*y(k). Let f(i) = -i**2 + 9*i + 10. Let h be f(10). Calculate c(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1906*r - 14. Let q(u) = -633*u + 5. Determine 8*q(n) + 3*y(n).\nAnswer: 654*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -44. Let a(i) = -4*i - 5*i + 15 + 13*i - 5*i. What is a(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1478351475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -26*h**2\/21 + 3194*h\/21 - 17716\/7 = 0.\nAnswer: 258\/13, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5420107 a multiple of 582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 950.0428 litres?\nAnswer: 950042.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 k when three letters picked without replacement from khkkkkkkskskh?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15553 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 f = 375\/7622 - -1\/206. Let u = 96\/407 - f. Find t, given that 0 - u*t**4 + 2\/11*t**3 + 2\/11*t**2 - 2\/11*t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**6\/120 + c**4\/24 + c**3\/6 - 96*c**2. Let m(y) = 6*y**3 + 9*y + 4. Give -m(s) + 4*u(s).\nAnswer: -2*s**3 - 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1036*k = y + 1034*k + 2, -3*k = y + 12 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.64 * -453116\nAnswer: -289994.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 23188.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 3. Let n be x(0). Let l = 0.9 + -1. Let f = 2\/32493 + -227461\/162465. Sort l, n, f, -5 in ascending order.\nAnswer: -5, f, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/(-2) + 1\/20*30)\/(-2). Sort g, -1, -2, 4, 2 in increasing order.\nAnswer: -2, -1, g, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-13)\/5)\/((-1)\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2\/2 - 220075*a\/2 - 220085.\nAnswer: 5*(a - 44017)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -338*i**5 + 5865*i**2 - 5412391*i?\nAnswer: -6760*i**3 + 11730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2391468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2858740.\nAnswer: 2, 5, 19, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -227 - -151. Let f = b + 135. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 7. Let z be n(-4). Let j = z - -15. Which is smaller: 6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -398*g - 953*g + 9310 + 6902 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1010793.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9702*t = -440*t + 436106 for t.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 1\/(-3)*-3. Suppose v*b - 6*b - h + 272 = 0, 2*h = -b + 99. List the prime factors of b.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 18178300.\nAnswer: 18178300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -26 + 698. Find the first derivative of -4*q - 41*q - 35*q + z + 22*q wrt q.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/326 and 28\/5.\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2422325 in -2, 3\/4, -0.5, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*v + 687 + 1487 + 794. What is the remainder when 3282 is divided by v?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-4) - 1\/4. Suppose -l*f = 2*f - 64. Let t(z) = 45*z - 7. Let b be t(3). Calculate the highest common factor of f and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3955 is divided by 1169.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 276631765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve 380*u + 4*p + 5 = 385*u, -5*u = 2*p + 25 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -353828, -353834, -353844, -353858, -353876?\n\"Answer: -2*g**2 - 353826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b + 4 = c, -b + 7 = -2*c. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001079 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*d - 335 = 70 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 42 = 4*q. Let a = -1 - q. Calculate the remainder when 51 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 - 34 - 32*k + 67 to the form j + l*k and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + b + 5. Let q(n) = 1. Let d(o) = -5*q(o) + v(o). Let y(l) = 3*l**2 + 3*l - 1. Give 2*d(j) - y(j).\nAnswer: -j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2 - 41961146*p + 440184443408329 = 0. What is p?\nAnswer: 20980573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30590)\/(-44935) - (-22)\/(-1419)*-3?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*w - 2*f + 3*f, 0 = 2*f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-133)\/(-15) - 18\/(-135). Solve 0 = -d - 4 + p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*s + 44 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 253, 816, 1751, 3058, 4737?\n\"Answer: 186*p**2 + 5*p + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 + 38*f**2 - 8*f + 24. List the prime factors of a(-19).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-24)*4\/(-5))\/(2096\/262)\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1086, -1057, -1028, -999, -970, -941?\nAnswer: -912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53885 - 53885 - 2232*p)*(-3*p + 7*p - 3*p).\nAnswer: -2232*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5066 divided by 2533\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 374 in descending order.\nAnswer: 374, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 261*n - 118 + 106 - 94*n to the form s + z*n and give z.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (17\/(255\/(-735)))\/(2\/(-4)). Let h(n) = n**3 + 3*n**2 - 5*n - 2. Let r be h(-4). Suppose 3*t - d - 63 = s, -116 = -r*t + 5*d. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1228665072?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.23. Let a = -0.564 - 0.436. Sort m, 1\/3, a.\nAnswer: a, m, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 121181904 by 72.\nAnswer: 1683082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - (-47 - 8954\/(-111)).\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 13*y**2 - 12*y - 5. Let u(a) = -a**2 + 1. Let x(p) = -5*u(p) - v(p). Suppose x(j) = 0. What is j?\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21787 - 3792. Does 58 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, h: 2}. Give prob of sequence hoo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j*j\/j**(-12))))\/(j\/(j*j**(-9\/5)))*(j**7)**18)**(-8\/15) assuming j is positive.\nAnswer: j**(-5488\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23, -68, -143, -248?\n\"Answer: -15*r**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4477392 divided by -12.\nAnswer: 373116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x**4 - 8*x**3 - 772*x**2 - 1848*x + 702 = 0 for x.\nAnswer: -9, -3, 1\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 5 in increasing order.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - w = -3, -3*w = -w - 6. Let y(j) be the first derivative of -2 - 1\/3*j**3 + 0*j + b*j**2. Let r(l) = l. Determine y(r(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 1:40 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3116599\/80 - 38957. Let g = r - -1\/80. Find c such that 1\/2*c**2 - 1\/2*c**3 + g*c - 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 6*y + 2. Let n = 8 + -2. Let w be m(n). Suppose -w*v - 3*f + 5 = -4*f, 4*v + 4*f = -20. Solve v = 3*d + 6 - 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2, -0.3772, -0.13?\nAnswer: -0.3772","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 15*k**2 + 8*k**2 + 0*k + 2*k**3 + 2 + 5*k**2 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/13332 and -23\/220?\nAnswer: 66660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1562*k + 3101*k + 123 = 3*f + 1536*k, 0 = 2*f - k - 83 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20 - ((-26)\/((-5824)\/1876) + (-3)\/8)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1. Suppose 0 = -17*r + 2 + 32. Suppose -6 + 18 = -r*d. Let f(m) be the third derivative of m**6\/60 + 7*m**3\/6 - 2*m**2. Give d*v(n) - f(n).\nAnswer: -2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 161*q**2 - 3*q - 12. Let c be y(-6). Suppose -6*b = -9*b + c. Let h = 2889 - b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -3 (b) -1\/3 (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -b2762 (base 13) in base 5?\nAnswer: -40213303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504327.\nAnswer: 3, 168109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0028949117178 to 4 dps.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 3\/5 (c) 11 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1208?\nAnswer: 5\/1208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1074768279 to the nearest integer?\nAnswer: 32784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*(sqrt(13) - (sqrt(1573) - (sqrt(1573) - (2 + sqrt(1573) - sqrt(1573))) - sqrt(13))))**2.\nAnswer: -1152*sqrt(13) + 8064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/39 and 57 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 2*x**2 - 2*x**3)*(22*x**2 - 27*x**2 - 74 + 0).\nAnswer: 10*x**5 + 148*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 125*f**3\/2 - 4606211525*f**2\/2 - 1842484640*f - 368496930 = 0.\nAnswer: -2\/5, 36849693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 2*k**2 - k - 8. Determine c(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 1. Let k(m) = 2*m**4 + 4*m**3 - m**2 - 4. Suppose 3*j + 4 = 7*j. Let d(w) = j*k(w) + 4*c(w). Find the third derivative of d(o) wrt o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 25874824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + 0*n**3 + 3822*n**2 - 3822*n**2.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -33. What is the third biggest value in 1, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 966053\/159110 - 2\/11365. Find the common denominator of -55\/3224 and b.\nAnswer: 22568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**7\/21 - u**6\/15 + u**5\/2 + u**4\/6 - 8*u**3\/3 + 4*u**2 + 17*u. What is f in c(f) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8515\/1449 - -2\/161. Let x = 1007\/3 - 9103\/27. Find the common denominator of x and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 79 - 79)*(0 + 0 + 2*s)*(5 - 1 - 3) - 11*s**2 - 6*s**2 - 5*s**2.\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9.933787 weeks?\nAnswer: 100132.57296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 + 2143 + 2146 + 2151 - 10721 + 2127 + 2154.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 146 + -4. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 9 (b) -4\/5 (c) -9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3248570?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 5*t - 2161 = 3*u, -4*t = u - 2181. What is the least common multiple of 1224 and t?\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*o + 9, -o - 6*n + n = 32. Let b = o + 8. Let r(a) = -a + 5. What is the remainder when r(4) is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 d when three letters picked without replacement from {d: 9, n: 4, a: 3}?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3))**(-15))**(-30)\/(t\/(t*t**(1\/2))*t*t*t**(-3)*(t**(-1\/4)*t)\/(t\/t**(2\/5))) assuming t is positive.\nAnswer: t**(3027\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -203*q**6\/3 - 148*q**3 + 383. What is the third derivative of d(i) wrt i?\nAnswer: -24360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 165 = 244*h - 228*h. Solve 11*q = 34 - h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 870716527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -4*m**6\/15 + m**4\/12 + 12*m. Find the third derivative of j(y) wrt y.\nAnswer: -192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*c**2 + 129*c**2 - 93*c**2 - 49*c**2.\nAnswer: -103*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 272 and 7208?\nAnswer: 14416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -47\/2. Let a be (2\/(-6))\/(120\/(-90)). What is the closest to a in 0.3, 3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 261 (c) -0.7854\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*i*j**4 - 6770*i*j**2 + 3*j**5 - 197*j**3 + 28*j**2 wrt j?\nAnswer: 672*i*j + 180*j**2 - 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {h: 12, q: 1, i: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 160402 divided by 7291\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2. Let o(h) = -2*h + 18. Let j be o(7). Let p be m(j). Let i be p\/12 - 1\/(-3). Which is bigger: 3\/22 or i?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 135 = -9*b. What is the smallest common multiple of 55 and b?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1750\/19 - -34369\/342. Find the common denominator of -23\/4 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, -342, -925, -1716, -2703, -3874, -5217, -6720?\nAnswer: -8371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h**2 + 16870711*h - 50669771?\nAnswer: -4*h + 16870711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 303, 313, 325, 339, 355?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -1838618*v**4 - 226584364*v**3 - 53450906*v**2 - 3180312*v - 2952 = 0?\nAnswer: -123, -2\/17, -3\/3181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -663 - -670. Calculate the lowest common multiple of l and 60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqhqhhq. What is prob of sequence qh?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31922084 is divided by 13492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 + 23*j - 96. List the prime factors of m(19).\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 5 + 5)*(3*u**2 + 0*u + 0*u) + (-3*u**2 - u**2 + u**2)*(2*u - 4*u + 0*u)*(1 - 1 - 1).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is aa (base 16) in base 4?\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, v: 8}. Give prob of picking 2 k and 2 v.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1331302020?\nAnswer: -1331302022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34801?\nAnswer: 13, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -9*m**3 + m - 1. Let k(t) = -49*t**3 - 33*t**2 + 9*t - 3589. Let g(b) = -k(b) + 5*q(b). Find the first derivative of g(f) wrt f.\nAnswer: 12*f**2 + 66*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212388759 divided by -36663?\nAnswer: 5793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 7 = d + 2*s, 5*s - 32 = 2*d. Let b = d - -17. Suppose y - b = 3. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 851955.3 years?\nAnswer: 85195.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 + -18. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11796 divided by -4.\nAnswer: 2949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, l: 6}. What is prob of sequence hllh?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1066 + -1077. What is the second smallest value in 4, -3, 0, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 6*n - 36. Let j(y) = 11*y + 12. What are the prime factors of j(n)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/((-122)\/(9272\/665))\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwm when three letters picked without replacement from {t: 2, m: 1, g: 4, v: 1, w: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -57?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51537*h - 51537*h + 146 - 2*h**4 - h**4 - 2*h**4 + 5*h**4 + (2*h**3 - 3*h + 3*h)*(3*h - h - h).\nAnswer: 2*h**4 + 146","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**3 + 3*u**2 + 7*u + 2. Let o(t) = 2*t**3 - 2*t**2 - 6*t - 2. Calculate 5*o(z) + 4*r(z).\nAnswer: -2*z**3 + 2*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from gggggagggaaaagaaygaa?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3\/2 - 5591*q**2\/2 - 33600*q - 100854 = 0 for q.\nAnswer: -6, 5603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -33. Let h be l\/(-3) - ((-32)\/(-12) - 3). Is h - -1 - (-4 - 30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12662679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -249, -316, -383, -450, -517, -584?\n\"Answer: -67*j - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.13 (b) -2\/5 (c) -6867 (d) -0.3 (e) 14 (f) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 927983.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200222 + -221?\nAnswer: -1201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5 + 22*m**4 + 20*m**3 - 22*m**2 - 21*m = 0. Calculate m.\nAnswer: -21, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712192400 a multiple of 10200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001433412 (base 5) to base 10.\nAnswer: -1983607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4395, -7879, -11363, -14847, -18331, -21815?\nAnswer: -25299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -172 (base 8) to base 4.\nAnswer: -1322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*(2*sqrt(63))**2 + 0.\nAnswer: -2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by 685825.\nAnswer: -8\/97975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109\/260 - 1\/52. Is b >= -8\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 2*a. Let l(v) = v**3 - 9*v**2 - 8*v. Determine 2*l(w) + 9*x(w).\nAnswer: 2*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 9*f - 6. Let i(l) = 2*l**2 + 19*l - 13. What is 3*i(p) - 7*x(p)?\nAnswer: -p**2 - 6*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -5, -6, 3, 28, 75?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/111734?\nAnswer: 3\/111734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/279201562 and -45\/8.\nAnswer: 1116806248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2242, -2240, -2262, -2314, -2402, -2532?\n\"Answer: -a**3 - 6*a**2 + 27*a - 2262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20637.6876ns in days?\nAnswer: 0.000000000238862125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -213, -479, -863, -1431, -2249, -3383, -4899?\n\"Answer: -11*y**3 + 7*y**2 - 210*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -15.506\nAnswer: -5.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 2*b - 1. Suppose 3*i + 5*y + 30 = 0, 32 = -4*i - 2*y - 2*y. Let p = 2 + i. Let c be j(p). Solve -24 = -5*o + f, -1 = 2*o + 5*f + c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*x + 1730, x = 4*a - 2*x - 1715. Let h = 498 - a. Calculate the remainder when h is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 7*z + 5*z)*(-62 + 1290*z - 33 - 48 - 648*z - 645*z).\nAnswer: -27*z**2 - 1287*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000357355 rounded to seven dps?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 5 + -1 + 0 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*y + 63423 - 69183 = 0 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17731\/15 - 1182. Let p(f) be the third derivative of 0*f + 5*f**2 + 0 + z*f**5 - 1\/2*f**4 + 4\/3*f**3. Factor p(l).\nAnswer: 4*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521587349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 + 1 - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/((-96)\/(-18)))\/(360\/160). Factor -72*q - 144 - 12*q**2 - l*q**3.\nAnswer: -2*(q + 6)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29*k + 13*k - 17*k)*(k**2 - k**2 + 2*k**3) as z*k**2 + c + j*k**4 + l*k**3 + b*k and give j.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/51644826 and -81\/8.\nAnswer: 206579304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 282368*r - 1129429. Calculate w(4).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 159 + 667*o**2 - 75 - 84 as g*o**2 + t + f*o and give g.\nAnswer: 667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2517982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88780, -88246, -87712?\nAnswer: -87178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/30 and 31\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - n - 2. Give q(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - u. Let y be z(-1). Suppose -5*x = 3*t - 182, 94 = 5*x - 5*t - 96. Suppose x - 115 = -3*n. Calculate the greatest common factor of n and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2722 or -1?\nAnswer: -2722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2, 5 in decreasing order.\nAnswer: 5, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.01, 474?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 10.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -0.1. Let n = -0.89 - -1.29. What is the smallest value in 6, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, 22, -1, -3, 0 in descending order.\nAnswer: 63, 22, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-40))\/(28\/140)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 10. Suppose -n*t + 2*t = 0. What is the remainder when 25 is divided by t + 18 + -4 + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7607713 or 76077143\/10?\nAnswer: 7607713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253903563.\nAnswer: 11, 79, 103, 14009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47306 and 89962.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/130, 6, 2482, 0.4?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -462240 by -45.\nAnswer: 10272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 6*m - 22. Let n be a(9). Suppose -5 = -3*q + 4*i, -n*q + 4*i + 6 = -5. Solve -q*d + 6 = -8*d - 3*f, 6 = -d + f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/15 and 7\/324.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6272.58 rounded to the nearest 10?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**14*b*(b\/b**(-7))\/b*b\/b**(-1\/13)*b\/b**(-1\/11))**(-3\/26) assuming b is positive.\nAnswer: b**(1215\/3718)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmn when three letters picked without replacement from {n: 2, h: 2, b: 4, m: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9454914 is divided by 578.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 11*m**5 - 4*m**3 + 21*m + 4. Let b(h) = 11*h**5 - 3*h**3 + 22*h + 3. Let u(r) = -4*b(r) + 3*x(r). Find the second derivative of u(d) wrt d.\nAnswer: -220*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15122 (base 11) to base 12.\nAnswer: 104a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 10*b + 17. Let q be n(-3). Let m be (24\/(-5))\/(-4)*q + -3. Suppose m*d - u - 9 = 7, -2*d - 5*u = -22. Solve 0 = -0*c + 3*c + d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027 + -1032 - ((-26 - 6) + 2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/2*((-55)\/(-22))\/(-5). Solve 0 = -5*l - 4*b + 6 - 1, -2*l - 2*b = d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 + 25. Let q be t + 6 + -5 + 1. Sort 1, -13, q.\nAnswer: -13, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**2\/2 - r. Let k(m) = 2*m - 3. What is -5*g(j) + k(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 4, -3\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*p**3 - 106*p**3 - 20*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 3:03 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/7 - 0. Let f be (-2 + -1386)\/(0 - -9). Let o = f + 154. Sort w, o, -4.\nAnswer: -4, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402 greater than or equal to 1403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 9 - -9 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28414102\/5 or -5682821?\nAnswer: -5682821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 4*c**2 + c + 7. Give h(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 44334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 9 - 47 = -3*y, -13 = -y + 5*t. Calculate the remainder when 50 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90049 is divided by 2001.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -2657 (c) -0.031 (d) 3\/5 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.07, 0.7523, 3\/4, 0.4, 2\/11, -0.4, 4?\nAnswer: 0.7523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 21*s = 64. Suppose -3*a + 33 = 5*l, 0*a = -2*l + a + 22. Calculate the smallest common multiple of l and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-22 - -6 - (-11 + 3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*t - 6124 + 1840 = 0 for t.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 570, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 849 + -844. What is the biggest value in 0.07, 3.4, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000497431 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.6 minus 15096143648?\nAnswer: -15096143634.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 25*c**2 - 20*c - 88. Determine n(-5).\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -4 - -4) + -2 + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -5\/2*i**2 - 196 + 0*i. Let q(z) = -2*z**2 + 2*z**2 - 2*z**2. Calculate q(o(m)).\nAnswer: -50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (6 - -2) + -3 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-1 - -3) + -8 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -6. Suppose -z + 4*m + 7 = 0, 3*m - 36 = -z - h*z. Solve -1 = 4*r + z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -9. Let l be 78\/(-5) + k\/(-5). What are the prime factors of ((-10)\/l)\/((-2)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**3 + 957859*f**2 + 76457981633*f + 25485887449 = 0.\nAnswer: -159643, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101.999761 + -102. What is u rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**3 + 13*f**2\/2 - 3*f + 3. Does 7 divide y(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.05 - 1. Let j = n + -1.05. Which is the second smallest value? (a) 3 (b) j (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7888590 divided by -6\nAnswer: 1314765","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 175 + -182. Let c(i) = -7*i - 7. Let z be c(-5). Let x = z + w. Calculate the lowest common multiple of 11 and x.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60\/49, -1, -4, 4.\nAnswer: -4, -1, 60\/49, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 2*d**2 + 449*d - 448. What is q(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-59)\/(-826) + (-2910)\/(-28). Does h = 411\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: (1*(-12)\/(-33))\/((-13)\/((-546)\/(-42)))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2375535 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-2 + (-2 - -4) - (40 - 43)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5295 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 496844430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than -659?\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.77 - -48.77. Let c = 47.95 - i. Sort 2, -5, c, -1\/7 in increasing order.\nAnswer: -5, -1\/7, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6246 is divided by 6243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 25. What is the greatest common divisor of b and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -5*c - 2*g, -75*g + 17 = c - 72*g. Solve -1045 = -c*q - 1013 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from {k: 1, g: 3, p: 1, i: 6, v: 1, w: 1}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 1 = 8*z + 11, 0 = -2*z - 2*n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93085490?\nAnswer: 2, 5, 53, 175633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -43 * -70\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3189, -6401, -9637, -12897?\nAnswer: -16181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 6 - -6) + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 139623419 a multiple of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 10*d. Let t(a) = 2*a + 20. Determine w(t(m)).\nAnswer: -4*m**2 - 100*m - 600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/47, 0.5, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-3) + (-10)\/15. Suppose o*d - 219 = -m, -7*m - 4*d - 233 = -8*m. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-10) + ((-23001)\/(-170))\/33. Find c such that -2\/19*c**3 - 2\/19*c**n + 2\/19*c + 0 + 2\/19*c**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/28 - 18\/(-7). Solve -j + t = -1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 245160653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -2 - (-51 + 33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 293 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/3 (b) -26 (c) 406\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033980 less than -6247.673?\nAnswer: 1027732.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45\/7? (a) -4 (b) -2\/7 (c) -470\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2239 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14073*h = 14177*h + 2392 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(266)\/(sqrt(7) + sqrt(700)))\/sqrt(2)*3.\nAnswer: 15*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317.585 months in centuries?\nAnswer: 1.0979875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*y + 243*y = 4*w - 4*w + 5*w - 70, 2 = 2*y + 4*w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1982600171 or -1982600172?\nAnswer: -1982600172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o + 30*o - 2631835 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fox when three letters picked without replacement from oxxojxoxopf.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12572 bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 25*h + 12 + 24*h in the form w + t*h and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.1? (a) 1\/1022 (b) 0.4 (c) -4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*b - 22585, 2*y - 20952 = -5*b + 24227. What are the prime factors of y?\nAnswer: 59, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(864\/(-20)) + 9\/12. Let v(y) be the first derivative of -7\/2*y**2 + 29 - 4*y + z*y**3. Give v(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 5*g + 1. Let q be a(6). Let k be (-16)\/(-12)*6\/(-4). Sort q, 0, k in increasing order.\nAnswer: q, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3144147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4*1\/((-12)\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 11 = -5*s, 3 = 5*n + 2*s + 19. Let z(c) = 35*c - 896. Let f be z(29). Suppose -167 = 8*w - f. Sort w, n, 4 in decreasing order.\nAnswer: 4, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 5:17 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v. Let k(o) be the first derivative of 2*o**3\/3 - 29. What is k(c(w))?\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 558*m**2 - 1216 + 1216 as n*m**2 + o*m + u and give n.\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5.8 * 9.33603\nAnswer: 54.148974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/120 and -13\/170?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**6\/24 - 5*v**4\/6 - 8*v**2. Solve x(z) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002097912052 to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 52, 44, 34, 22, 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from bbbuu?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -92 * -4.1\nAnswer: 377.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2639605 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**4\/48 - 19*f**3\/8 - 114*f. Factor x(s).\nAnswer: -s*(s + 57)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(405)*-2) + (3*sqrt(405) - sqrt(405)) + 1.\nAnswer: 1 + 37*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 53 = 6*t - 9*t, 0 = -t - 4*y - 4. Let f(q) = 2*q**3 - 31*q**2 - 18*q + 35. Let n be f(t). Solve n*x + 0*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93\/203 - 5\/29. Let d = -0.03 + -0.27. Let x = d + 0.3. What is the smallest value in 1, x, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.125318879 to four decimal places.\nAnswer: -0.1253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 59*o + 4. Let l(g) = 30*g + 3. Give -2*k(v) + 5*l(v).\nAnswer: 32*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/5, -0.5, -9 in increasing order.\nAnswer: -9, -0.5, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 19*n - 11. List the prime factors of f(-9).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 5*v - 4. Let u be l(5). Let d(o) = 2*o + 3. What is d(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 17250065?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 394*v - 2615*v - 17305 - 18231 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**2 + 6 - 8*i**2 + i**2 + i**2 - 2*i**2.\nAnswer: -14*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 254 and 3584.\nAnswer: 455168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0397 + 58.0397. Which is the second smallest value? (a) 2\/5 (b) r (c) 5 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + sqrt(96)\/(sqrt(8)*-1) - sqrt(12)) + -3*sqrt(24)\/sqrt(2))\/((-2*sqrt(4) + sqrt(4))*5*1).\nAnswer: 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4558)\/(-12)*2*-3. Let m = p - -13751\/6. What is the common denominator of -109\/6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/180 and -103\/11110.\nAnswer: 199980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 85 = -25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 383109716?\nAnswer: 383109720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.7, -6, -33, -0.1?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p + 44. Let l be m(9). Solve l*i - 5 = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*o**4 + 107*o - 514?\nAnswer: 20*o**3 + 107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9*z - 15. Suppose 2*w = -4*d - 25 - 5, 3 = -3*d + 5*w. Does 15 divide p(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6\/5, -3.86, -2347, -3, 2?\nAnswer: -3.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491689 = -4062*b + 170791 for b.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 329, 742, 1321, 2066, 2977?\nAnswer: 4054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(2 - -4) - -9. Solve -6*c = -5 + a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 14.967?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13485\/377)\/31*-3*(-6)\/(-45).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34, -49, -36, 17, 122, 291, 536, 869?\n\"Answer: 2*y**3 + 2*y**2 - 35*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/28250 and -68\/375.\nAnswer: 84750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(4\/5))**(12\/13))**(1\/11))**(-49) assuming p is positive.\nAnswer: p**(-2352\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2992 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*p - 697 = 3114 + 1101 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -854\/3 - -285. Let a = -5.7 + 28.7. Let h = 23.1 - a. What is the closest to h in -1\/3, m, -6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 f when three letters picked without replacement from {p: 1, l: 6, h: 3, f: 3, x: 1}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1958)\/(-88) - 22)*-1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 177 + -141. What is the remainder when y is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.03 and 25118153392.\nAnswer: 25118153392.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -19, -8, -3, 5496 in decreasing order.\nAnswer: 5496, 5, -3, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(3\/(-3))\/2. Suppose -a*m = 3*m - 230. What is the remainder when m is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + j - j)*(-4*j + 3*j + 2*j) - 5*j**2 - 3*j**2 + 3*j**2 + (0*j - 4*j + 2*j)*(0*j + j + j) to c*j + h + o*j**2 and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5 - 6*y**2 - 5*y**2.\nAnswer: -11*y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 189637829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 204 = -53 + 1 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35801.\nAnswer: 35801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13331121 (base 4) in base 11?\nAnswer: -22548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 122 = 4*f + 171 + 165, -96 = -5*f - 3*k + 29 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10011 - -10010.8. What is the third smallest value in -0.01, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1922*s**2 + 979*s**2 + 976*s**2.\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -7. Let x = n + 3. Let j be 2\/(-6) - (-4)\/21. Put -1\/6, x, j in ascending order.\nAnswer: x, -1\/6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21 - -2)\/(1 - 0). Suppose -v = 5*l + 2. Let u be l*(-1*2 - -3). Let w(f) = -f. Calculate w(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -2*y**6\/3 - 4*y**5\/5 + y**4 + 4*y**3\/3 - 73. Factor i(r).\nAnswer: -4*r**2*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**3 - 22*g**2 + 14*g - 21. Let i be d(7). Let k = 139 + -107. What is the greatest common divisor of k and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 66024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*o = -29, 43 = 5*u + 2*o - 6*o. Suppose -3*d - 30 = -4*a - 13, -2*a + 3*d = -u. Solve -8 - 7 = -5*h - a*p, -6 = 3*p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183672 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + (0 - 2)*-10. Let t(z) = -z**3 + 14*z**2 + 13*z + 46. Let o be t(p). Solve o = -2*a - 4*j, 2*a + 4*j + 20 = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 19*j = 4*j - 51 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-6) - 26) + -100 + 101.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8354584 is divided by 16810.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 154, 3, 1, -5 in decreasing order.\nAnswer: 154, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1392 - 754. Calculate the highest common divisor of 29 and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 805*a**3\/3 - a**2\/2 - 4787*a + 83. What is the derivative of t(l) wrt l?\nAnswer: 1610*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 111240100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1032, -1 in ascending order.\nAnswer: -1, 2, 1032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 18358.\nAnswer: -3\/18358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 13*j + 13. Let w = 6 - 19. Let t(n) = -n**2 + 6*n - 6. Suppose -32*z + 8*z = 144. What is w*t(l) + z*u(l)?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (60 - 60 - 15*a)*((14*a + 6*a - 9*a)*(-2*a + 3*a + a) + 12*a + 24*a**2 - 12*a) to the form l + v*a**3 + k*a**2 + s*a and give v.\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*p + 2063 - 2173 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*h + 2290 = -4*a, -h - 10230*a = -10231*a + 38 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.7788+-10632\nAnswer: -10632.7788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(275) + 5*sqrt(275) + -1 + sqrt(99)\/(sqrt(90)\/(sqrt(10) + sqrt(90)\/sqrt(9))))*6)**2*3.\nAnswer: -62208*sqrt(11) + 10949580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) -17 (c) 2 (d) -4 (e) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15137232.\nAnswer: 2, 3, 11, 28669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*u + 101*u = 889*u + 464*u - 76048 for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -438 + 438.1. Sort c, -5, 241, -2\/13.\nAnswer: -5, -2\/13, c, 241","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 3. Let n be w(-10). Let q = 8 + n. Which is smaller: 4\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28634 and 10.\nAnswer: 143170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.298 times -5?\nAnswer: -1.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 3*b**2 + 3*b - 2. Let u be c(-4). Suppose -r - j = 3*r - 7, u*j = 3*r + 3. Suppose -k + 3 = -r. 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 169475700 divided by -6?\nAnswer: -28245950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -60, -3\/10 in ascending order.\nAnswer: -60, -2, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 12*c + 14. Give m(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -5, 4, -7 in decreasing order.\nAnswer: 4, -1, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 2549588?\nAnswer: -2549586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.7538 to 1 decimal place.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/10*(-45)\/(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18.7 in -7, -4, 5, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -254 or -18\/5?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1. Let u = -20 + 16. Which is the nearest to p? (a) u (b) -2\/7 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Suppose 3*d = 2*h + 3*h - 32, -h + 4 = 0. Let m = 7 + d. Let y(u) = -u + 8. Let g be y(6). Is g at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 + 82. Sort 0, -7, v in ascending order.\nAnswer: -7, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24 and -342.\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14347 - -20768. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548 is divided by (-12)\/9*(11 + 970\/(-20))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 11*n = 8*n - 838, -l + 839 = -4*n. Is l a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-72))\/(2\/(1*-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**2\/13 + 158826*b\/13 + 33601328\/13 = 0.\nAnswer: -211, 79624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 248 - 253. Sort 15, k, 0.\nAnswer: k, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -53*p + 1. Determine r(1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -151 - 148 + 296 - 75*u with respect to u.\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m\/(m*(m*m*m**(-1))\/m))\/m)\/(m*m**(-17)\/m))**(-19))**(2\/53) assuming m is positive.\nAnswer: m**(-646\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150295 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100011001111100001101 (base 2) in base 12?\nAnswer: 1109b25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2. Let w(k) = -k**3 + 8*k**2 - 5*k - 1. Let c be w(7). Let q(n) = n**2 + c*n**2 + 30*n**2. What is a(q(h))?\nAnswer: -1936*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 15 = -0*y. Suppose -y*v + 10 = -5*i, 3*i - 4*i - 2 = 2*v. What is the nearest to v in -1, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 360.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 387196397 a multiple of 2678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27105381*y**5 - 6*y**2 - 32235*y + 1.\nAnswer: 1626322860*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29997182233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1968, 7779, 17434, 30933?\nAnswer: 48276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*w = 222*w + 74*w. Suppose 42 = 3*z - 5*z. Sort -3, w, z, 4.\nAnswer: z, -3, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -220655, -441289, -661907, -882509?\nAnswer: -1103095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16767 and 554921.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 690\/1320*22*-4.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.3, 5, -23?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-10))\/(-1)*(-5125)\/(-43050)*-18\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 4. Let u be p(3). Let y be 6\/(-15)*(-5)\/13. What is the closest to u in 0, y, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 172*q**2 - 4 - 3*q + q**3 + 175*q**2 - 345*q**2. Calculate z(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -218.3 + 218. Let c = -2.4 + 3. Let d = f + c. What is the closest to 2 in 0.4, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 18 + 4 = 0. Solve -l*y + 20 = -2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 5*f + k - 331515 + 331488, -5*k + 15 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.2166248 to one dp.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h**3 + 6*h**2 - 5*h + 6. Let j(g) = g**2 + 34 - g - 76 - g**3 + 43. Let p(y) = -2*y**2 - 49*y - 18. Let k be p(-24). What is k*j(s) - a(s)?\nAnswer: s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3021043314100 - -2?\nAnswer: -3021043314043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3228 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -201048*0.3\nAnswer: -60314.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = w - 3. Let s = -2 + w. Let m(x) = 3*x**2 + 5*x**2 - 5*x**2 - 4*x**s. Let v(h) = -2*h. Determine v(m(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*o - 93619 + 108*o + 93612 as k + z*o and give z.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + d - 208. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwswwssvwvvss. What is prob of picking 2 w?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*sqrt(12).\nAnswer: 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {j: 2, v: 1, h: 1, i: 1, d: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 75241929 to the power of 1\/3, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93 - -557\/6. Sort 2\/13, 4, z in decreasing order.\nAnswer: 4, 2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/5))**(-46))**(-46) assuming q is positive.\nAnswer: q**(2116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. What is the lowest common multiple of (-48)\/(-21) - 2\/7 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -57, -111, -183, -273, -381, -507?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30314 = -118*q + 28426 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1410084390 by 59762.\nAnswer: 23595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4857 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3472)\/112)\/(-93))\/((15\/693)\/(-5))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 10:19 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*j - 17*j + 10*j - 15*j in the form g*j + y and give g.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1930 or 1?\nAnswer: -3\/1930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(385)\/(sqrt(11) + sqrt(22)\/sqrt(2)))\/(sqrt(500)*-2 - sqrt(500)) + (sqrt(14)\/sqrt(2) + -1)**2 + sqrt(7) + sqrt(14)\/(-4*sqrt(2))).\nAnswer: -48 + 38*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31031 + -2?\nAnswer: 31023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + n**2 - n. Let v(c) = -5*c**3 - 6*c**2 - 7*c - 10. Determine 6*i(u) + v(u).\nAnswer: u**3 - 13*u - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -10*s - 2*s**2 + 22*s + 17 - 18*s. Let u(o) = 2*o**2 + 5*o - 14. Let h(r) = 5*f(r) + 6*u(r). Let q(k) = 3*k**2. What is q(h(v))?\nAnswer: 12*v**4 + 12*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 - -42. What is the third biggest value in n, -4, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 + 1 - 1 + (-1 - 2*k + 1)*(-3*k**2 - 3*k**2 + 4*k**2) - 3 + 3 + 2*k**3 to f*k + i*k**3 + y*k**2 + w and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 195638*m**3 + 165651*m.\nAnswer: 1173828*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 12*j - 51. Suppose 0 = -5*d + 12 + 8. Let a be x(d). Suppose -5*c = -2*c + 12, -l + c = 0. Which is smaller: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -76*v**3 - 2*v + 4. What is the tens digit of p(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + f - 3*f)*(0 - 8 + 1)*(-4 + 4 - f) + 2*f + f**2 - 2*f in the form d*f + k + y*f**2 and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -5*m**4\/12 - m**3\/2 - 759*m. Let q(k) = 4*k**2. Calculate p(q(l)).\nAnswer: -80*l**4 - 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**4\/12 + 4*n**3\/3 - 2*n**2. Suppose 0 = 2*m + 2*a - 2 + 6, 2*a = 8. Let o be j(m). What is the smallest value in 5, 2\/5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*y + 389, 0*y = -3*y - 2*q + 231. Suppose 2*b + 2*b + 4*s = -8, -3*s - 18 = -b. Suppose y = 4*r - b*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110 - 122120?\nAnswer: -202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((402\/75)\/((6\/10)\/3))\/((-282)\/(-705)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12031032 (base 4) to base 6\nAnswer: 313410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: a65 (base 13) to base 3\nAnswer: 2102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -73*l**2 + 3*l. Give q(1).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 + 57. Let g be 108\/35 - (-8)\/m. Let -46\/5*p**4 - 54\/5*p**3 - g*p**5 - 4\/5*p + 0 - 26\/5*p**2 = 0. Calculate p.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1220 + 1232. Solve 0 = 24*h - 20*h - u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3032)\/17114 - (-28)\/602. Is g at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from {w: 7, f: 3, n: 2, k: 1, q: 5, b: 2}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1034 + 95*m**4 - 117*m**3 + 5*m**5 + 1034 + 17*m**3.\nAnswer: 5*m**3*(m - 1)*(m + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/42417256 and 7\/5.\nAnswer: 212086280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -18. Suppose 0 = 3*t + 9, -4*d + 0*t = 2*t - 14. Suppose d*w - 24 - n = 0. Calculate the remainder when 13 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -861 = -7*k - 3*h - 859, -2*h + 4 = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, 1\/2, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3414 (base 5) to base 2.\nAnswer: -111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 4*g - 7. Let h(c) = c + 2. Let o(v) = -7*h(v) - 2*i(v). Give o(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1782, -1777, -1772?\nAnswer: -1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99)*-1)\/sqrt(9).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/1451856 and -103\/9744.\nAnswer: 1451856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 813 = 3*l, 3*l + 792 = 6*l + 2*t. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cweeecdtdeccetccd. What is prob of sequence td?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*t + 51*t - 2 - 284 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 462 - 461.001. Let b = q - 0.89. Let x = 7.491 + b. Round x to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -321, -261, -169, -51, 87, 239, 399, 561?\n\"Answer: -h**3 + 22*h**2 + h - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**4 - 47456*s**3 + 6124044*s**2 - 190226920*s - 405329600 = 0.\nAnswer: -11992, -2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 20 = 3*k, 0 = -4*k - k + t + 56. Calculate the highest common divisor of k and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7 + 3 + 38743*s**2 + 5 - 38748*s**2. Let v(r) = 11*r**2 - 30. Give 5*f(g) + 2*v(g).\nAnswer: -3*g**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(84) + (-1*sqrt(84) + sqrt(84) + sqrt(84))*4)\/(3*sqrt(84)\/sqrt(7)) + -5)*-3.\nAnswer: -5*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 19.30296 nanometers?\nAnswer: 0.00001930296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 127 in descending order.\nAnswer: 127, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(2\/3))\/((m**(1\/2)\/m)\/m*m))\/(m**(-2\/7)*m)**(-8))\/((m\/(m**(4\/5)*m))\/m**(1\/4))**1 assuming m is positive.\nAnswer: m**(3751\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/20*3)\/(3\/(-1)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -198044, 2.\nAnswer: -198044, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -65, -68, -53, -14, 55, 160, 307?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -59, -53, -35, 1, 61?\n\"Answer: m**3 - m - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1806 + -1806.00029712. What is w rounded to 6 decimal places?\nAnswer: -0.000297","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -909659832 divided by 454829916?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**3 - 67*v**2 - 20*v + 47. Let i be s(-22). Let g(l) = 8*l**2 + 2. Let y be g(-1). Solve 0 = 3*o - r - y, -i*o + 15 = o - 3*r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3567? (a) 4\/17 (b) 5 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + (69 + -127 - -24).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 19*m**2 + 128*m - 1596. Determine t(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36385 - -a5?\nAnswer: -362a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**3 - 2*k**2 - k. Let a be h(-1). Let l be 2 + 11 - (-6 + 11). Let i = a + l. Solve 2*d = 3*d - i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 12*f**3 + f**2 - f. Let v(x) = x**2 - 3*x + 3. Let y be v(2). Let g be a(y). Solve w = 4*w + g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 6 - 6)*(-2*w**2 + 2*w**2 - w**3)*(-1008 + 1008 + 37*w).\nAnswer: -148*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 20 = -0*r + r, -3*g + 24 = 3*r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**4\/4 - 78*y**3 - 879*y**2\/4 + 1551*y\/2 + 1818 = 0.\nAnswer: -101, -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**2 + 139*t - 3 - 137*t + 3 + 3*t**2 + 2 in the form m*t + g + q*t**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -425 - -427. Find the first derivative of 144*t**3 + 0*t**2 - 78 + t**2 - t**h wrt t.\nAnswer: 432*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqtttq. Give prob of picking 2 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 - 84. Let n = b - -47. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5327?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -15155072?\nAnswer: 15155068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 239, 3, 224, 17.\nAnswer: 3, 5, 17, 224, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times 11856\nAnswer: 1304.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-413)\/49 - -9 - (-598)\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4747819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2818, 2839, 2866, 2899, 2938, 2983, 3034?\n\"Answer: 3*l**2 + 12*l + 2803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -63 * 19.04\nAnswer: -1199.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/(-12))\/(-5)*12. Let y(r) = x*r**2 + 6*r**2 - 9*r**2. Let l(t) = -334 + 9*t**2 + 334. Give l(y(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g + 180 = -10*g + 56*g. What is j in -4\/5*j**3 + 4*j**g - 12\/5*j**4 - 8\/5 + 4\/5*j = 0?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143296774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23, -210, -707, -1670, -3255?\n\"Answer: -26*l**3 + l**2 - 8*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*m, -3*v = 3*m - 304 + 283 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -4 (b) 3 (c) 5 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.09, 1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (0 + -2) - 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejkp when four letters picked without replacement from {e: 1, p: 1, k: 2, s: 1, c: 1, j: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 6186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -455\/6 greater than or equal to -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6307829819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*((-18963)\/(-86))\/(-147)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/5)\/((-2)\/(-10)). Let l(w) = w**3 + 4*w**2 - 14*w - 9. Let r be -5 + (-5 + 9 - 5). Let t be l(r). Solve 0 = -h*d - 2*z + 19, -t*d + 5*z = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -390 - -400. Solve 0 = -3*f + 4*p - 15 + 2, y = -4*f - 2*p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5242, -20948, -47104, -83692, -130694?\nAnswer: -188092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 179541 to the power of 1\/2, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - q + 15. Let d be 0 + 2 + (-5 - -3). What is the units digit of v(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 289 + -10117\/35. Is 1 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*0.04.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*p - 2*p - 2*p)*(4 + p**2 - 4) - p**3 - 4*p**3 + 4*p**3)*((1 - 8 + 1)*(3 - 3 - 2) + 0 - 4 + 2) to the form d*p**3 + j*p**2 + u + v*p and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(112) + -2 + sqrt(112) + sqrt(112) + -3 + -4*(sqrt(112) + 0) + 0 + -5)**2.\nAnswer: 88*sqrt(7) + 233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 + 19828*q + 20539*q - 55 - 40367*q.\nAnswer: -3*q**3 - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 2*o + 1. Let v be r(1). Solve v = j + 3*l - 17, -20 = 3*j - 5*l - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 618429 and 87?\nAnswer: 17934441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 13*i**2 + 12*i - 2. Let p(t) = 13*t**2 + 14*t - 2. Give 5*p(r) - 6*x(r).\nAnswer: -13*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/74075525 and 89\/9400.\nAnswer: 592604200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b + 0 + 1\/4*b**4 + b**2 - 1\/3*b**3. What is the units digit of d(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*(4 + (sqrt(605) + 0)*2) - (sqrt(1250)*-3)\/(sqrt(40)*1))**2.\nAnswer: 5616*sqrt(5) + 69021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 29*o**2 + o + 3958. Let j(u) = -13*u. Determine m(j(g)).\nAnswer: -754*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 19*d + 11 + 0*d**2 + 42. Let l be y(-16). Solve 3*a - 2*c - 2*c = 18, -5*a = -l*c - 25 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83961 and 118840167.\nAnswer: 4419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7692*z**4 + 2*z - 255 + 16 + 7690*z**4 in the form s*z**4 + j + a*z**3 + p*z + c*z**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c**3 + 0*c + 4\/3*c**4 - 8\/3*c**2 + 4\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8118207 + 0.4?\nAnswer: -2.4118207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(17) + 0)*6 - sqrt(17) - sqrt(17))**2.\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1550*l + 4*c = 1554*l - 28, l + 5*c - 25 = 0 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 3*n**2 - 3*n - 1. Let f(r) = 2*r + 0*r - 3*r - r**2. Let k be 8 - 4\/(4\/3). Let o = 4 - k. Give o*x(v) + 3*f(v).\nAnswer: 2*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oikokokoookoki. Give prob of sequence oo.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.381 + 2.\nAnswer: 2.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 24*k + 864. Let s be y(-35). Solve i - s = -7*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(2268) + 0 - sqrt(2268))*-5 - -6*2*(sqrt(2268) - (-1*sqrt(2268) + 0 + sqrt(2268)) - sqrt(2268)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1123 and 42033890.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**5 + 2*z**4 + 6*z**3 - 10*z**2 + 4*z = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 31 = 1. Let r = -4 - h. Suppose r*t = 5*a + 55, -t + 1 = -a - 22. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92639*o**3 + o - 185265*o**3 + 2 - 45*o**2 + 92631*o**3 to f*o + d + s*o**3 + k*o**2 and give k.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -133*0.5\nAnswer: -66.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 + 24*z**2 + 1180*z + 5071. Determine s(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 24. What is the remainder when g is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490298550 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/25*1\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 393330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36*a - 3*a - 5*a)*((-3 - 5 + 3)*(-59 + 237 + 285) - 2 + 3 + 1) as c + t*a and give t.\nAnswer: 101772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -594.2 - -107.2. Let h = 487.000001495 + v. What is h rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11130.\nAnswer: 2, 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68490 is divided by 250?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6088?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2194, 4425, 6656, 8887, 11118, 13349?\n\"Answer: 2231*q - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*j = 216*j + 5, -135*j + 678 = 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1434232 (base 5) to base 16.\nAnswer: 7767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*n**2 - 31*n**2 + 5 - 31*n**2.\nAnswer: -2*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*-0.07.\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.39 - -1.61. Let q = -2\/31 - 21\/155. What is the closest to -2\/7 in q, -2\/9, n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*3*sqrt(33))\/(sqrt(121)\/((3*sqrt(77))\/sqrt(7))).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14 + 0.16. Let x = 0.1 + d. Let n = 31 - 34. Which is the second biggest value? (a) n (b) x (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -807 + 543. Let j = -263.7 - v. Which is the nearest to j? (a) 0.1 (b) 17\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 264, 460, 730, 1074, 1492?\nAnswer: 1984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-3 - -10)) + 10 + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/174 and 28\/3567.\nAnswer: 7134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**6\/3 + 27*m**5\/10 - 25*m**4\/3 + 12*m**3 - 8*m**2 - 49*m. Determine c, given that w(c) = 0.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8 = -2. Suppose 0*o + 70 = 2*v - 2*o, 5*v - 179 = r*o. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18052 - -360943\/20. Calculate the common denominator of -139\/12 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 119487400?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2259 + 2259 + (-1 + 0 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*m + 470 = -40*m. Calculate the remainder when m is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 3*b - 4. Let r be z(-3). Solve -3*v - 1 = r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47.06 + 47. Let l = 52 + -54.84. Let n = -0.16 + l. Sort 2, o, n.\nAnswer: n, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + (sqrt(637) - (sqrt(637)*-1 + -3)) + sqrt(637) + 1 + sqrt(637)*-3 + 4 + -1)**2 + 1.\nAnswer: 98*sqrt(13) + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 + 5 - 5 + (-7*n**2 + 2*n**2 + n**2)*(-2*n + n + 4*n).\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k + 24. Let y be a(-9). Let u be (-2 - -2 - 0) + -2. Does 15 divide (u\/y)\/(1\/(-183))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 70963280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -32d92?\nAnswer: -32d97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7*u + 5*p - 45 = 0, -5*u = -4*p. Suppose 0 = -u*m + 9*m + 15. Let h be (2 + m - -2)*3. Sort -7, -4, h.\nAnswer: -7, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36891.8151184 + 36981.815. Let j = 90 - q. Round j to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2284.047m in nanometers?\nAnswer: 2284047000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**4 - 3*n**4 + 2*n**4 + (-1 + 5 - 2)*(n**3 - n**3 - n**4) - 2*n**4 + 3*n**4 - 2*n**4 + 2*n**4 - 3*n**4 - 2*n**4)*(-15*n + 2*n + 7*n).\nAnswer: 30*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 60. Let s = l + -19. Solve -5*m = 7 + s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 951330 to the nearest 10000.\nAnswer: 950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 50. Solve -h + n*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 1\/75*t**5 - 4\/5*t**4 + 46\/15*t**3 + 0*t - 62*t**2 + 0. Find k such that d(k) = 0.\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - l - 256 = -5*q, -2*l + 97 = q. Suppose 42 = -5*g + q. Solve g*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7927*r + 8 = 7935*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4941*f**3 - 610*f**2 + 305*f + 915. Let x(i) = 65*i**3 + 8*i**2 - 4*i - 12. Give -4*n(r) - 305*x(r).\nAnswer: -61*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/19 (b) -8.3 (c) -7\/3 (d) -0.19 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5307*b - 5319*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -33*u**5\/8 + 5283*u**4\/4 - 12447*u**3\/8 + 957*u**2\/4 = 0.\nAnswer: 0, 2\/11, 1, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**3\/3 - 9*a**2\/2 - 8*a. Calculate g(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 b when four letters picked without replacement from {b: 1, d: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1372 + -962. What are the prime factors of m?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r. Let z(b) = -b - 23. What is j(z(d))?\nAnswer: 10*d + 230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.21 - 0.09. Let l = 5.09 + -0.09. What is the third smallest value in l, 0.5, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1960)\/21)\/(-10)*(25 - 1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/5 of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4\/4 + 15*j**3\/4 - 63*j**2\/4 + 69*j\/4 - 6.\nAnswer: 3*(j - 1)**3*(j + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5016224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**2 - 32*b**2 - 23*b**2 + 12*b**2 + 15*b**2 + 8*b**2.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -28 * 213.715\nAnswer: -5984.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -0.19, -6608, -4\/9, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/60)\/(10738\/(-46020)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -92061, -184088, -276071, -368004, -459881, -551696, -643443?\n\"Answer: n**3 + 16*n**2 - 92082*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/12 - 2533*f**3\/6 + 327865*f**2\/12 - 1166879*f\/6 + 167580 = 0.\nAnswer: -5130, 1, 7, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/361)\/((-690)\/(-437))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -80 and 4?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - -2021210123301?\nAnswer: 2021210130001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 0*h - 3\/2*h**3 + 0 + 0*h**4 - 3\/20*h**5 - 4*h**2. Differentiate y(o) with respect to o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -112*v**3 - 12*v**2 + 11*v - 5. Let b(j) = -j**3 - 2*j**2 + 2*j - 1. What is -6*b(h) + z(h)?\nAnswer: -106*h**3 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*o - 3. Suppose -l + o = 5. Which is bigger: l or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 235, 482, 817, 1234, 1727, 2290, 2917?\nAnswer: 3602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**3 - 9616*l**2 - 1994500*l + 2004112 = 0. What is l?\nAnswer: -193, 1, 2596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1648 and 128647.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -11*c**2. Let o(k) = 3*k - 5. Let z(n) = -n + 2. Let s(i) = 2*o(i) + 5*z(i). Determine g(s(d)).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -92 + 38 - -65?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 307918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0826 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 468 - (-3 - (3 - 4)). Let i be 12\/10*u\/(-3). Let a = -109 - i. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -156ba3 - -7?\nAnswer: -156b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2341806 (base 9) in base 15?\nAnswer: -1a0906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-20) + -1 - 376760648\/(-10). Let x = -65076065 + k. Round x to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*z = -67, 5*g = -0*z - 4*z + 176. What is the remainder when 45 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69370552 - 566090552. Round x to the nearest 1000000.\nAnswer: -497000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 524 - 264 - 6*q - 260. Let g(m) = 3*m. Give g(y(l)).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 + 4*b - 4. Let n(v) = 2*v**2 - 5*v + 5. Let s(f) = -6*a(f) - 5*n(f). Suppose -35 = -15*p + 20 - 40. Calculate s(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36041117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.14 + 6.94. Let y = 7 - f. Suppose 2 = r + 4. Which is the nearest to y? (a) 0 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 27*b**3 + b**2 - 6*b + 6. Does 4 divide f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/31 (b) -16.4 (c) -6\/13 (d) 5 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = b - 63267, -163*w = -3*b - 162*w + 189833. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -339*q - 13. Let y be g(1). Let p = y - -429. What are the prime factors of p?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**2 + 2*a**2 - a + 9*a + 5*a**2 - 12 - 4*a**2. Suppose -2*o - 28 = -0*h - 3*h, -3*h + o = -26. Calculate g(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28302 to the nearest one hundred.\nAnswer: -28300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2515 a factor of 1064813275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2217 is divided by 552?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20014651.\nAnswer: 43, 103, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6.1*5\nAnswer: 30.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*i**2 - 4*i**2 + 10 - 23 wrt i?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2308.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 + 108 + 69 = -177*x - 204 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97965 and 2205.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - r - 4 = -3*o, -r + 5 = 0. Let l(s) = s**2 - 9*s + 9. Let k(a) = -2*a + 2. Let j(m) = o*k(m) + 2*l(m). Let c(t) = -9*t**2. What is j(c(b))?\nAnswer: 162*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from ftvvlt.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01718, 5.9, -3, 1, -4, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*x**4 - 25865*x**3 - 636003*x**2.\nAnswer: -264*x - 155190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -4988949.\nAnswer: -19\/4988949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7365 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1222 - 1216 = 5*h. Let i(y) = 6*y + 0*y**2 + 4*y**2 - y**3 - 6 + 1. Let z be i(5). Sort 5, h, z, 2.\nAnswer: z, h, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8991, -17813, -26641, -35481, -44339, -53221, -62133, -71081?\n\"Answer: -m**3 + 3*m**2 - 8824*m - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-1\/7)*c)\/c)\/c)**(-9)\/(c**13\/(c**(-5\/6)\/c)) assuming c is positive.\nAnswer: c**(-677\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -36) + (-25 - -1) + 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 19*j**2 + 41953*j - 379112. Give r(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -40*i + 87. Let y(x) be the third derivative of 9\/8*x**4 + 1\/10*x**6 + 3\/5*x**5 + 0*x + x**i + 5*x**2 + 0. Factor y(m).\nAnswer: 3*(m + 2)*(2*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(6\/5)*x*x*x*x**(-3\/4)\/x*x*x*x)**(-2\/7) assuming x is positive.\nAnswer: x**(-129\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -9) + (-4 - 1) + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 7599?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/3)\/((x\/(x**(1\/8)*x)*x)\/x))\/(x**(-2\/7)\/(x*(x*x**8)\/x*x)))**(-19\/3) assuming x is positive.\nAnswer: x**(-32167\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158293 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*z**2 + 15*z**2 + 30*z**2 - 2*z**2 + 3*z**2 + z**2 + (-z - 3 + 3)*(5*z - 8 + z - 5*z) to w*z + a*z**2 + h and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**2\/7 - o\/7 - 2\/7 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12740?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2852?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -39141928851457 less than -5?\nAnswer: 39141928851452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**0)\/(j*j**14*j)*(j**(-1))**(-46) assuming j is positive.\nAnswer: j**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -30110000 (base 4) to base 8\nAnswer: -142400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18713 + -18713. Solve -25*r - 13*r - 342 = h for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-2 - (6 - 2))) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 141, 129, 101, 51?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6886, -13948, -21012, -28078, -35146, -42216?\nAnswer: -49288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/156 or -1?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 + 275\/22. Let f = -72 - -180. Calculate the highest common divisor of f and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 50427?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 50253832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/939634 and 47\/4130.\nAnswer: 32887190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9554208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*y + 3*y. What is the third derivative of -17*v**2 + 16*v**5 - 4*v**6 - 11*v**5 - y*v**5 wrt v?\nAnswer: -480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 2*z**2 - 3*z - 4. Let d be g(-3). Let y be (2\/d + 1)*26. Let u = y - 5. Calculate the remainder when 13 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*w - 10 = 0, -3*h - 4*w = 17 + 13. Let c be (h\/(-3))\/((-10)\/15). Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 20582, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + (32 - 83 - -27 - 4).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - ((sqrt(500)*2 - sqrt(500))*-3 + sqrt(500)))\/sqrt(10))\/(sqrt(90)\/(sqrt(324)*-1)).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((2 - (-93)\/333) + 92\/1702).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 1\/40*y**5 - 1\/24*y**3 + 0*y**2 - 1\/168*y**7 - 3*y + 0*y**4 + 0*y**6 + 0. Let p(k) = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 888259?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 - 39*i - 89. Let u be r(15). Does -16\/63 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72781*i**3 - 11*i**2 - 145560*i**3 + 72777*i**3 + 11*i**2.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 less than 1061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -319, -330, -341, -352, -363?\n\"Answer: -11*i - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 224125 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1341 (base 9) to base 14\nAnswer: -521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 18. Let n be (5 - l) + (-4)\/1. Solve 2*k = -3*r + 19, k - 13 = -3*r + n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.8, -4, 1, 2\/5, -1\/3, -0.3, -315975?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2246 plus 0.0307?\nAnswer: 0.2553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 60*x**2 + 891*x - 72. Determine l(-28).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q + 0*q - 4*q - 3*q + 2*q + 0*q + (2 + 1 - 1)*(q - q + q) - 17*q - 140 + 140 - 8*q + 0*q + 4*q to j + z*q and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -762359 by 347.\nAnswer: -2197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 6. Let t(d) = 1. Let m(s) = r(s) - 6*t(s). Let b(x) be the second derivative of 0*x**2 + 1\/2*x**3 + 2*x + 0. Calculate m(b(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -124 divided by -2\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -38296, -60158, -82020?\n\"Answer: -21862*r - 16434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 711 + -1234736?\nAnswer: -1234025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 194 - 97 + 480*p - 97. Let u(k) = -k**2. What is u(s(y))?\nAnswer: -230400*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1391 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3072 + -4897. Let v be (-24)\/(-30) - 1 - 340\/z. Which is greater: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(70)\/(-1*sqrt(10)) + (sqrt(7) - sqrt(448)*-1))**2.\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2. Let t(w) = 4*w**2 - 3*w + 2. Let l = -1 + 2. Let j(s) = l*t(s) + 3*q(s). Factor j(m).\nAnswer: (m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 124143005?\nAnswer: -124143015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: 868936 (base 13) to base 15\nAnswer: 426837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 15) to base 9\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmroeqrop. Give prob of sequence rqp.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1230*b + 221*b + 737*b)*(5 - 5 - 2*b)*(6*b**3 + 4*b**3 - 5*b**3).\nAnswer: -21880*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*d**2 + 11*d**2 - 8*d**2 - 9 - 2*d**3 wrt d?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65\/42 - 17\/14. Which is the second smallest value? (a) 0 (b) 6\/37 (c) z (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1214*x**2 - 1251*x**2 - 2 in the form d + h*x**2 + y*x and give h.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 (base 10) in base 9?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 1414?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 12 = -z, -l + z + 5 = 2. Solve 0 = 2*w + 1 - l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 0*g**2 - g**2)*(8 - 10 - 7).\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**2 + 15*o + 6. Let z(x) = x**2 + 2*x. Let u(d) = -3*g(d) + 15*z(d). Factor u(r).\nAnswer: 3*(r - 6)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (0 - 55)*(-822)\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 490 - 222. Let y = -223 + t. Calculate the greatest common factor of y and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*q + 16*k - 45 = -2*k + 22*k, 5*k = -2*q - 75 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 3*c + 278. Let h be j(11). Let t(z) = -z + 11. Calculate t(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 0.1 (b) 1963 (c) 0.2 (d) -0.1 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12015386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 132112047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1910933 is divided by 1031.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*j + 42 = 697 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1716*v**3 - 9131*v**3 + 1592*v**3.\nAnswer: -9255*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n + 30. Calculate k(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 427 and 1432158.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 21. Let n be w(-22). Let v = n + 4. What is the derivative of 7*p + 7 + v + 0 wrt p?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, i: 2}. What is prob of picking 2 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 66\/(-77)*(-28)\/6. Solve -h*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 10:13 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 221960 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + 1011110011100?\nAnswer: 1011110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -10 - 68. Suppose -4 = -2*a + 4*d - 0, 0 = 3*a + 3*d + s. Let u = -1 - a. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-five halves of a century?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-50)\/1600*-48 + (-14)\/20. Let -16\/5 - 8\/5*x + n*x**2 + 2\/5*x**3 = 0. What is x?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -0.47794?\nAnswer: -2.47794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -54*r + 206 + 350 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (10\/4)\/(1190\/61880) is divided by ((-99)\/12)\/((-2)\/8).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4599 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 2:31 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**6\/180 + c**5\/15 + c**3\/3 + 4*c**2. Let t(n) be the first derivative of p(n). Find the second derivative of t(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.67 * -47\nAnswer: -501.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -2)\/(-1) - -16. Suppose -4*o - q = 5*l, 4*l + 17 - 5 = -3*o. Suppose o*p = -p. Solve p = -x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 9\/(-4) - 2945\/(-20). Suppose -g + l = 38. List the prime factors of g.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 3. Let g be y(-1). Let h = -7 + 3. Let z = -4.01 - h. Put -2, g, z in increasing order.\nAnswer: -2, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 1554 = 12*g + 24*g + 10*g for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 4:41 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 105250?\nAnswer: -105247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2627 is divided by 519?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 199 + 1 + (-220)\/(-110). Which is bigger: h or 201?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.3891656 millennia?\nAnswer: 3.891656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -29652245 divided by -7\nAnswer: 4236035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0*t*t**(4\/21)*t\/t**(-3\/4)*t**(20\/9) assuming t is positive.\nAnswer: t**(1301\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 13*q - 35. Let x be i(-10). Is -1*295\/x - 4 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6350028, 12699985, 19049954, 25399941, 31749952?\n\"Answer: a**3 + 6349950*a + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*a + 35*a - 80. Suppose n - 26 = -4*k, 3*k = -2*n + 4*k + 7. What is the remainder when a is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4\/15*f + 8\/15*f**2 + 4\/15*f**3 - 2\/15*f**4 - 2\/5 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(18\/13)\/((((w\/w**(3\/7)*w)\/w)\/w)\/w**(1\/7)))\/((w**(-2\/3))**(2\/15))**(11\/3) assuming w is positive.\nAnswer: w**(848\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1289 + 1300. Let a = 11 + -8. Solve 4 = -a*p - k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -2. Suppose x + c*a - 2 = 3*x, 3*a - 7 = 2*x. Solve -3*j + 3*u + u = 19, x*j = 3*u - 16 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6145.07186 - 6145. Round j to three dps.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 182900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 1822 = -1510. Sort -4, 1, 29, h in increasing order.\nAnswer: h, -4, 1, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39179558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i - 7*i - 3*i**2 + 4*i**2 + 2. Suppose 2 = n, 0*r + 3*n = -3*r + 30. Suppose -r - 102 = -22*o. Give w(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/7 - (2 + 2344\/(-28)).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -900, -1797, -2694, -3591, -4488?\n\"Answer: -897*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1352.6198 and -4?\nAnswer: -5410.4792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 13064\/9*c - 4232\/9 - 1250\/9*c**4 + 7100\/9*c**3 - 4894\/3*c**2 = 0. What is c?\nAnswer: 1, 46\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 641 + -400. What are the prime factors of o?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5864717*f**3 - 11351182*f wrt f?\nAnswer: -35188302*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, 7, 4, 2 in increasing order.\nAnswer: 2, 4, 5, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 2:13 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 27*c**2 - 10*c - 268. Give l(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, d: 3, h: 4}. What is prob of picking 2 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*n - 8 = 0, 4*i - 2*n - 29 = n. Which is the second biggest value? (a) 0.9 (b) i (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*w - 29, -5*w - 4 = -h - 6*w. Suppose 2*r = 18 - 24. Sort h, r, 4, 7.\nAnswer: r, h, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**2. Let k(r) = -8*r. Let f(o) = 1. Let c(d) = 24*d - 8. Let x(s) = -3*c(s) - 24*f(s). Let q(m) = -28*k(m) + 3*x(m). Determine p(q(n)).\nAnswer: 320*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 590.5 + -590. What is the second biggest value in 0.3, -0.24, g, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685835973 a multiple of 503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 - 3*m**3 + 2*m**3 + m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6991472708.\nAnswer: 2, 11, 773, 205559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from {w: 4, i: 2, u: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137936750?\nAnswer: 2, 5, 7, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 199615 and 6.\nAnswer: 1197690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32449783?\nAnswer: 107, 173, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {j: 3, l: 3, t: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/7 + 4090*o\/7 + 7644 = 0. Calculate o.\nAnswer: -13, 2058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -9 + (-1 - -12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.48 + -1.28. Let o = -2.7489 - h. What is o rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*q - 44*q - 5*m - 435 = 0, -4*q - 4*m = -444. Solve 17*i + 246 = q for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 18 = 14. Suppose 3*y - 249 = -5*f, 5*y - 5*f - 142 - 313 = 0. What is the highest common factor of x and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-15)*10\/4. Solve 5*y = -b + 22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2108 greater than or equal to -530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 33483*d**2 - 66970*d**2 + 33483*d**2. Let l(h) = -3*h - 17*h - 3*h. Determine l(n(t)).\nAnswer: 92*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -111, -1 in increasing order.\nAnswer: -111, -25, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -20*h + 23*h - 25, 2*t + 21 = 5*h. Let x be (-2)\/4 + 280001\/2. Suppose y - h*y + x = 0. Round y to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2827329 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, 30934, 58 in decreasing order.\nAnswer: 30934, 93, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -68181 - b?\nAnswer: -68190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suys when four letters picked without replacement from {y: 4, l: 3, u: 1, s: 2}?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 21\/5, -6\/13, 3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from aawa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (8 + -13)) + -12 + (-4 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 24932905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3382 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -47a - 494f?\nAnswer: -4dc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89 + 77. Is 3087\/(-6)*n\/18 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 1607*u - 12792.\nAnswer: -(u + 8)*(u + 1599)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9672\/(-8463) + (1 + -2 - (-380)\/14).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mymmhmlmyloohyyulhm. What is prob of sequence mmu?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4 - 2*d**2 + 0*d**2 + d**2 - d - d**2. Let n be r(4). List the prime factors of (-3 - (1 + n)) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16513, 32827, 49141, 65455, 81769, 98083?\n\"Answer: 16314*h + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-10))\/3)\/((-18)\/(-45)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*w**4 + 2 + 0*w**4 - w**3 + 3*w in the form x*w**3 + u*w**2 + v*w + n*w**4 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0547? (a) 695 (b) 1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35300441*s*w**3 - 112*s*w**2 + 348049*w wrt w.\nAnswer: -211802646*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.93 + 2.23. Which is the closest to i? (a) -4 (b) 4 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -73*c**2 - 5 - 68*c**2 - 70*c**2 + 40*c + 205*c**2. Let x be r(6). Solve 23 = -5*y + a - 0, -3*y - x = 2*a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4723626 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/122803 and 1\/404918.\nAnswer: 14981966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = n - 165, -5*w - 592 = -4*n - 10*w. Let y = -2 - -4. Suppose 19 = -y*d - 3*x + 104, -3*d + 4*x = -n. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2 + 7*a + 2. Does 25 divide d(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/40 of a millisecond?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3168\/(-288)*1\/1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4. Let r = 42 - 2. Suppose -5*t = -4*b + 92, h = 3*b - b - 4*t - r. What is the remainder when b is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-14)*1743\/(-166).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*d - 6926210, -4*v - 4*d + 2308740 = -3*v. Let m = v + 2481264. What is m rounded to the nearest 100000?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.6167 micrometers in nanometers?\nAnswer: 79616.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179789, -179853, -179917, -179981, -180045, -180109?\nAnswer: -180173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/2 and 97\/4352?\nAnswer: 4352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -15593420?\nAnswer: -15593423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 12 = -5*q. Suppose 3*j + 49 = 2*h, -q*j - 47 = -2*h + j. What is the remainder when h is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 3 + -2 - 2. Let v be ((-189)\/(-45))\/((-2)\/(-10)). Let w = v - 106\/5. Sort 0.4, w, x in descending order.\nAnswer: x, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -11*b. Let h(j) = 23 - 8 - 2 - 8 - 12*j - 7. Give r(h(t)).\nAnswer: 132*t + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.65 - -8.65. Let g = -3 + 4. Sort q, g, -2, -5.\nAnswer: -5, -2, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61008.7 * -1.\nAnswer: 61008.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 6. Let r be x(6). Let i be ((-9)\/(-2))\/(9\/(-96)). Let u be (32\/i)\/(2\/(-15)). Solve u*y = -r*y + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 13*q - 626. Give d(46).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**3\/5 - 212*u**2\/5 + 412*u\/5 - 204\/5 = 0.\nAnswer: 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539)*3*-5.\nAnswer: -135*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1937 + 1233 + 2094 = 202*m - 7094 for m.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -174, 3, 254, -1, 18 in descending order.\nAnswer: 254, 18, 3, -1, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(42) - sqrt(378)\/sqrt(9))\/sqrt(2) + (-5*sqrt(84))\/sqrt(4))\/((sqrt(1400) - (-2*sqrt(1400) - sqrt(1400) - sqrt(1400)))\/(sqrt(10)\/sqrt(125))))**2.\nAnswer: 3\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 not equal to -6035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 66*p**2 + 5. Let c(z) = -2*z**3 + 132*z**2 + 8. Determine -4*c(w) + 7*q(w).\nAnswer: w**3 - 66*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 46*m - 49. Let p be q(8). Suppose 0 = 2*c + h - 651, 4*h + p = c + 16. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -508*g**2 + 561*g.\nAnswer: -1016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(16920\/(-611))*-10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 771 + -676.4. Let m = 17.6 - s. Let x = -77.071 - m. What is x rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12871 - 9055. What are the prime factors of s?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m - 700070 + 346733 - 572445. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 46\/39?\nAnswer: 46\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(8\/6) + (-30)\/(-5). Let m be (z\/9)\/(1\/6). Suppose 81 = m*q - 289. What is the remainder when q is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -y - 8, -y - 5*i = -i. Put -6, y, -8, 2\/19 in descending order.\nAnswer: 2\/19, y, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = -3*i - 3*m, -4*i + 350 = -9*i + 4*m. Let w = 69 + i. Which is smaller: 2\/291 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -165 + 185. Calculate the remainder when o is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 818.4626 weeks?\nAnswer: 495006180.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppll when four letters picked without replacement from {p: 2, l: 2, n: 1, c: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11166 + 19913. Is w a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-21)*(-8)\/(-132)*-3\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 338822.379 minutes?\nAnswer: 33.61333125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 6:09 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 231*f**3 - 1225*f**2\/2 - 1461. What is the second derivative of s(c) wrt c?\nAnswer: 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.07 + 16.07. What is the closest to -3 in -2, 86, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1\/59 (c) 1\/125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57142*f - 56815*f + 13300 + 3704 = 0 for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j**2 + 14*j**2 - 29*j**3.\nAnswer: -29*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -10.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -0.01, 14, 1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*f - 25*f**3 + 14 - 13*f + 8*f wrt f.\nAnswer: -75*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/11 and (32\/(-6))\/(170\/(-45)).\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113 - 109. Is 4 != j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2. Let i(o) = 11581*o. What is a(i(s))?\nAnswer: -268239122*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 346*w + 101. What is the tens digit of k(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -1, 5.5, 109, 3, -9 in increasing order.\nAnswer: -9, -1, -2\/13, 3, 5.5, 109","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/(-18) - ((-48)\/(-27) + -2). Solve 2*b = -0*p - j*p, p + 4*b = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 3*i - 19, 2*i = -0*p + p + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -977*l + 994*l + 0*l**3 + l**3 - 7*l**2 - 46. What is the least common multiple of s(6) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2539 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.722182 microseconds in seconds?\nAnswer: 0.000000722182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**2 + v**3 + 2*v**2 + 3*v + 3 - 3*v**2. Suppose -z - 111 = -5*z + 3*c, 1 = -c. Let t be z\/5 + 2\/(-5). What is h(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 63*h**2 - 4410*h + 11. What is m(70)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 726*s + 6555. Determine y(-9).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -8*s**2. Let o(q) = 2*q**2. Let y(p) = 2*c(p) + 6*o(p). Let m(f) = -8*f**2 - 64550 + 13*f**2 + 32273 + 32277. What is m(y(n))?\nAnswer: 80*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v*v**(2\/7)))\/v))**(-4))**(23\/5)\/((v*v\/(v*v**(-1\/4)))\/(v*v*v**(2\/3)*v)*(v*v*v**(2\/7))**4) assuming v is positive.\nAnswer: v**(-2927\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**5 + 1100*s**4 + 5532*s**3 + 9976*s**2 + 7766*s + 2220 = 0.\nAnswer: -2, -1, 555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -7*q**2 + 5 + 10*q + 3 + 6. Let t(n) = -3*n**2 + 5*n + 7. Let r(d) = -2*c(d) + 5*t(d). Let o be r(6). Is 1 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 10*p**2 + 57*p - 11. Let z be s(14). Solve 4*i - r = 11, 20 = i - 5*r + z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2 = 4*k, 3*k - 22 + 6 = 5*h. Let v be -1 + 0 + k\/5. Let x = 397 + -397.4. Which is the second smallest value? (a) v (b) -0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21546.0012431 - 21546. What is u rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-154 - -10) + (-1 - -2). Which is the nearest to g? (a) -2\/11 (b) -4 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1511215 and 289875?\nAnswer: 113341125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126233929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/6)\/((-540)\/(-11280)). Which is greater: -32 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d - 2 + d + 1)*(-2*d**2 + 0 + 0) as o*d + b*d**3 + k*d**2 + u and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 10 = 2*x - 16, 4*x - 32 = -d. Let g = 10 - x. Solve -2*k + 4*r - 8 = 2*k, -g*k + 2*r = 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -476 + 475.5. Let t = -877 - -881. Sort t, k, 8, -3 in increasing order.\nAnswer: -3, k, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 63091.\nAnswer: 2\/63091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19404 and 17424.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 3*y - 2*y + (2252 + 1368 - 15986 - 14350)*(-2*y - 4*y + 5*y).\nAnswer: 26718*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5715252 minus 0.2?\nAnswer: -5715252.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.085 - 29.635. Let q = -38.585 - k. Let x = q - -9. What is x rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -5. Suppose 0*s - 2*s = d. Suppose s = -3*w - 0*w + 102. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*w**4 - 2488 + 2488 + (-702 + 702 - 29*w**3)*(4*w - 3*w + w).\nAnswer: -70*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -15 - 5*y**4 - 2*y + 13*y**4 + 6*y**3 + 21 + 0*y. Let z(b) = b**4 + b + 1. Let k(h) = -a(h) + 6*z(h). Suppose k(u) = 0. Calculate u.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 - 2 + 2 + (-2 - 25*b**3 + 14*b**3 + 18*b**3)*(-2*b - b**2 + 2*b).\nAnswer: -9*b**5 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7498 and 385526?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 546, 1075, 1604, 2133?\n\"Answer: 529*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.9 - -13. Suppose 30 = 5*q - 5. Suppose 2 = 2*x - 3*y + 3, -3*y + q = 4*x. Which is the closest to x? (a) -3\/4 (b) v (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9*x + 59. Let z = -124 - -118. Let r be l(z). Solve -4*a = -2*u - r*a + 9, -2*u + 3*a + 5 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24150 and 1150.\nAnswer: 24150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2848 - 2848 + 11*w. Suppose -m - 3*p + 14 = 0, -3*p = 5*m - p - 31. Let v(b) = 5*b + 3*b - 2*b - m*b. Calculate v(u(r)).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -d + 45, -7*d + 5*d + 87 = 3*r. Calculate the greatest common factor of 406 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-18)*q)\/q*q*q**(4\/5)*q**10*q\/(q*q\/q**(1\/26))*q assuming q is positive.\nAnswer: q**(-801\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -3684.\nAnswer: -3683.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 14 + 4 = 3*j, -2*j + 15 = -5*f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2 + b**2)*(16*b + b + 9*b).\nAnswer: 26*b**3 + 26*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-342)\/(-6156) - 3468\/216\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/4)*u)**37\/(u**(-1\/12)\/u*u**(-2\/9)*u))**(1\/9))**30 assuming u is positive.\nAnswer: u**(2525\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1449755?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 85164 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/21251?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -w - 3*w. Calculate the remainder when -5 - -3*(-78)\/(-18) is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y - 129. Suppose 7*p + 39 = 10*p - 3*x, 43 = 3*p - 5*x. Let q be o(p). Let z(a) = -2*a - 7. Calculate z(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 2 + 16)*(0 + 2 - 1)*(-3*v + 0*v + 4*v).\nAnswer: 33*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2701.284 + 2706. What is u rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from xixnnnnxxx.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9229704?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*x**2 - 100 - 86 + 215 wrt x.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 + 4*a**2 + 2*a. Let x be i(-2). Let w(n) = n**2 + 5*n + 6. Let g be w(x). Solve 0 = -4*c - 2*r + 4 + 4, -8 = 3*c - g*r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -261 - 100?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 12. Let r be (-36)\/(-15) + (-2)\/5. Solve -r*h + 7 + a = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or -607?\nAnswer: -607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35975.04nm to meters.\nAnswer: 0.00003597504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**7\/315 - z**6\/45 - z**5\/45 + z**4\/3 + z**3 - 6*z**2. What is l in g(l) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 9*m**2 + 3)*(4*m**2 + 0*m**2 + 3*m**2 + (25*m**2 - 4 + 4)*(-3 + 4 - 2)).\nAnswer: 162*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -133*c - 220*c - 10451*c**2 - 82*c + 11078*c**2 wrt c.\nAnswer: 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -9*z - 9. Let y be a(-6). Let x(v) = v**2 - 45*v + y*v. Let q(o) = o**2. Calculate q(x(i)).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -105, -108, -111, -114?\n\"Answer: -3*h - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 12*y - 10 = -3*b, -4*y = 4*b. List the prime factors of (y - 3)\/(5\/190).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2757 - 14*n**3 + 5*n**4 + 97*n - 2757 wrt n.\nAnswer: 60*n**2 - 84*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 222 and 666?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-48)\/(-18) - (-2)\/6. Suppose 5*n - 21 + 11 = w. Factor -1\/3*d**n + 0 + 1\/3*d.\nAnswer: -d*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2094*g + 2095*g - 4199*g - 32)*(6 - 2 - 1) to the form b*g + u and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100012201 (base 3) in base 8?\nAnswer: 246707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 24*j. Let m be z(-1). Let o be (m\/9)\/((-4)\/(-6)). Let x(p) = p**3 + 5*p**2 + 3*p + 4. Does 8 divide x(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -160040*n**2. Let p(q) = -q**2. Determine m(p(c)).\nAnswer: -160040*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 1. Suppose -5*t = -h - 20. What is the third derivative of -y**2 + t*y**4 + 5*y**2 + 0*y**2 - 8*y**2 wrt y?\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 8) to base 9\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + -2 + 9 - (-5 + 0). Let h be (-3)\/(6\/(-4)) - 5. What is the closest to d in -1, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**2 - 3851388*j + 15405488 = 0.\nAnswer: 4, 962843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 1533 = -1542. Which is bigger: 7\/145 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145 + -94.9. Let p = t - 55. Let u = p - -0.3. Round u to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x = -210*x - 5*x - 45*x + 15953 for x.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5 - 15, -2*z = -5*p + 25. Let j(m) = m**2 - 2*m + 3. Let v(k) = 1. What is p*v(q) - j(q)?\nAnswer: -q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30979047 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 44 = -12. Let s = -8 + 13. Suppose o - 120 = -c*u, s*u = 5*o + u - 480. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (28\/6)\/((15\/(-108))\/(-5))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) + (-8)\/(-20). Let h(x) = x + 1. Let y be h(i). Suppose 4*m - 5*a - 18 = 0, 0 = -4*m + 2*a + 18 - 6. Solve -m*l = -l - y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 10 = -5*o, -5*s + 77 = -2*o + 75. What is the least common multiple of 14 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 16*z - 4. Suppose -2*y - 292 = 128. Let b be ((-1)\/(-3))\/((-5)\/y). Calculate the remainder when 95 is divided by s(b).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.803 + 0.197. Which is greater: u or -8\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200 (base 5) in base 12?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 32*k + 34*k - 65*k. Let p(i) = -i + 1. What is 4*j(q) + 3*p(q)?\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*(sqrt(700) + -4 + 5) + -6*(1 + sqrt(700)*5))**2.\nAnswer: 5940*sqrt(7) + 762376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -10\/11, 5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/55 and -37\/88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, -1\/6, -3\/55, -3, -4, -1\/18, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + -2*sqrt(1584) - (5 + 1*sqrt(11))) + 4)**2.\nAnswer: 26*sqrt(11) + 1860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-104)\/(-16)*(-72)\/(-702). Find j, given that 32\/3*j - 128\/3*j**2 - g = 0.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (311\/622)\/((-14)\/(-4))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1216 is divided by 423?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3 - 14 = -3*c, 5*c = -2*j + 11. Let h(m) = m**3 + 2*m**2 + m + 2. Calculate h(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.427 - 0.573. Let f = 0.2 + -0.3. Which is bigger: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 + -69. Suppose p = -6*h - 12*h + 16956. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/3 - 8*v**4 - 64*v**3\/3 + 256*v**2\/3 + 512*v + 2048\/3 = 0. Calculate v.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**6\/120 - 7*q**5\/60 - q**4\/24 - 2*q**3\/3 - 2*q**2. Let r be b(-7). Let -2\/7*i**r - 2\/7*i**2 + 2\/7*i + 2\/7 = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -490947 - -241047. Round h to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p**2 + 9*p - 9. Let b(d) = 20*d**2 - 26*d + 26. Let t(q) = -6*b(q) - 17*f(q). Let j be t(1). Put j, 0.35, 0.1 in increasing order.\nAnswer: j, 0.1, 0.35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20033030112 (base 4) to base 15.\nAnswer: -2c9c3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440)*-2 - 1*sqrt(10)*6)\/(4*((-1*sqrt(500) + sqrt(500))*-4 + sqrt(500))).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (-3)\/((-3)\/(-2)). Suppose -r*b = -3*b + 20. Let o = -225 - -405. What is the greatest common factor of o and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*y**3 - 8*y**2 - 16*y**3 - 43*y**2 wrt y?\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2) + (-6)\/(-2). Suppose -a = -t + 1. Suppose 52 = 4*s + 4*k, -t*k = 7*s - 4*s - 40. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639.2342 nanometers in millimeters?\nAnswer: 0.0006392342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22542 and 150858?\nAnswer: 1961154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -179*l**2 - 133*l + 18. Let q(f) = -4*f - 2. Calculate x(q(w)).\nAnswer: -2864*w**2 - 2332*w - 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfppfffpl. What is prob of sequence lffp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/22*(1 + 1)*-205. Let k = r + 91. Let v be -2*k\/8 - (-60)\/40. Calculate the highest common divisor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 9*w**2 + 7*w - 9. Let l(d) = -27*d**2 - 20*d + 26. Give 17*i(a) + 6*l(a).\nAnswer: -9*a**2 - a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12642249 is divided by 194496.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 - 136. Which is bigger: -18 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 7\/260 (b) -0.5 (c) -724\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from uxuuuuuuuuuu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**3\/3 + 5*a**2 - 4*a + 2. Calculate the least common multiple of w(9) and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j. Let q(v) be the second derivative of 5*v**3 + v**2 - 391*v. What is q(i(c))?\nAnswer: -180*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*h - 74*h + 145*h + 56*h**3.\nAnswer: 56*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*g - 5*o, 4*g + 5*o - 23 = -0. Let b(j) be the third derivative of j**6\/120 - j**5\/60 - j**4\/24 - j**3\/3 - 8*j**2. What is b(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/5 - -3\/10. Let j = 2.02 - 0.02. What is the second biggest value in 2\/3, p, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 - 106495*w**2\/4 - 106498*w - 106499.\nAnswer: (w - 106499)*(w + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 b when four letters picked without replacement from baahaahbaaazbh.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 6*c - 3*c = -84, 5*v + 3*c + 134 = 0. Let f = v - -43. Calculate the highest common divisor of f and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-3)\/150*15*38\/171.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 14*j**2 + 30*j + 7. Suppose 8*l + 2*l = -150. Is s(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -1\/5, -8\/11, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqqddneneqqfgqn. What is prob of picking 2 q and 1 e?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -1088166?\nAnswer: 1088168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-13)\/10*2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 9. Solve -m*d - 2 = 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20, 4, -29\/4097, -2\/9, -0.2, -3\/4, -0.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 30*z + 3. Let c be n(1). Suppose 6*i = -3 - c. Let j(k) = k**3 + 7*k**2 + 7*k - 3. What is j(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(7 + -3 + (-2)\/1). Let z be -2 + 4\/(-4)*0. Let q be -2 + (-1)\/(z\/16). Solve -5*k + q*l - l - 5 = d, -2*l = k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21173\/9 - -2346. What is the common denominator of f and 62*((-1 - (-165)\/(-27)) + 7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12247 = -412*i - 10672 + 37565 for i.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 450 in 0.3, -2\/13, -2, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 7. Let z(v) be the third derivative of -v**4\/8 - 7*v**3\/3 - 5*v**2. Let h(i) = 5*b(i) - 2*z(i). What is the derivative of h(d) wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l**2 + 784*l - 17093. What is i(23)?\nAnswer: -1706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 1. Let m be s(1). Suppose m = -2*g + 3*a + 5, -4*g = -0*g - 2*a - 30. Calculate the least common multiple of 2 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a - 9. Let t(o) = 3*o + 8. Let n(r) = -2*r + 41. Let b be n(3). Let i = b - 75. Let x = 46 + i. What is x*c(m) + 7*t(m)?\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*h**2*l**3*w - 3*h**2*l**2*w - 4*h**2*w - 6*h*l**3*w + h*l**3 - 2*h*l - 3*l**2*w wrt h.\nAnswer: 168*l**3*w - 6*l**2*w - 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103084190?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/13, -3, -3\/5, -4 in increasing order.\nAnswer: -4, -3, -3\/5, 2\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 - 61 = -3*v. Let k = v + -66. What is the highest common factor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-99) + 159\/(-33). Let x be 9\/3 + (r - -8). Solve -x*g + 9 = -3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -81*i - 131. Let v(x) = -41*x - 79. What is -3*k(n) + 5*v(n)?\nAnswer: 38*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1134) - (sqrt(1134) - -5*sqrt(1134)*3))*4)\/((sqrt(200) + (3*sqrt(200) - sqrt(200)) - sqrt(200))*-5*2).\nAnswer: 27*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63068846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 356445\/2 - 1335*v + 5\/2*v**2 = 0.\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/5 - 1167*g\/5 - 1182.\nAnswer: 3*(g - 394)*(g + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/15*(-80)\/(-176). Let z = -4067\/13 - -313. Let a be (-6)\/28 - (-3)\/6. What is the nearest to a in z, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12b858 (base 12) to base 9\nAnswer: -522865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100802528 to the nearest integer?\nAnswer: 10040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 16*c**2 + 6*c + 15. Let w(i) = i**3 - 15*i**2 + 7*i + 14. Let o(v) = -2*g(v) + 3*w(v). What is the remainder when o(13) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1026611981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130709*l**3 - 5688186*l wrt l?\nAnswer: 784254*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 11*j**2 - 4*j + 16. Let g be q(-11). Suppose -5*i + i + g = 0. Suppose -10*m + i*m = 230. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74 - 1) + 434 + -388.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/63 - -25\/126. What is the nearest to -2 in q, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -10*t**3 - 19*t**2 + 1386*t + 6978. Calculate v(-5).\nAnswer: 823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 11:41 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 88*x**2 - 2288*x + 86. Determine c(-21).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33108\/5 - 6723. Let r = -102 - j. Which is the second smallest value? (a) 2 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2112\/440 + 1 + (-8)\/10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + j - 15 = 0, 2*t + 4*j - 5 = 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 11:41 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1008181376 divided by -4\nAnswer: -252045344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*z - 40687 - 30433 = -52*z. Calculate the highest common divisor of z and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 12*m**2. Let r(g) = -g**2 - 318. Give c(r(i)).\nAnswer: 12*i**4 + 7632*i**2 + 1213488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 585461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104 by 3.\nAnswer: -104\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) + 2*sqrt(104))*-3)\/(sqrt(200)*1))**2*2.\nAnswer: 2106\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**2 - 3*p + 9. Suppose 2*c + 4*f = 4, -c - f + 5 = -0*f. Let y = c - 4. What is i(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(480)*2 + sqrt(480) + sqrt(480) + sqrt(480)))\/(sqrt(6) + sqrt(96)*4 + sqrt(18)\/sqrt(3)*5).\nAnswer: -50*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/24 and -107\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -61623 less than or equal to -61636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -101?\nAnswer: -5\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 1043879161879.\nAnswer: 1043879161881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 = -2, v = -2*g + 28199995. Round g to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9*d**2 + d + 5. What is the remainder when w(-2) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, -137498, 0 in decreasing order.\nAnswer: 122, 0, -137498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.96, 10.9, -4, -1, 0.5 in decreasing order.\nAnswer: 10.9, 0.5, -0.96, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-3\/34)*s*s)\/(s\/s**(-7)))**(6\/37) assuming s is positive.\nAnswer: s**(-417\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, z: 2, p: 1, x: 1, i: 4, v: 3}. What is prob of picking 1 x, 2 i, and 1 v?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 5*l**2 - l + 5. Let j be k(-4). Is -4 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 107206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1104660 divided by 19380.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 31 = -3*x, 22*f - 5*x = 18*f + 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48203 + 212674. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 12 = 4*q + 9*j, 0 = 4*q - j + 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1401*0.5.\nAnswer: -700.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(4\/(-1096))*6\/(-48). Which is greater: 34 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15320790, -15320770, -15320738, -15320694?\n\"Answer: 6*f**2 + 2*f - 15320798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 16 (b) -4 (c) 0.5 (d) -518\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 5) to base 9\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.21 - -2.11. Let o = 0.3 + -0.4. What is the nearest to a in -2\/3, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = x - 110, 2*h + 238 = 2*x - 2*h. What is the remainder when x is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -2 (c) -1\/7 (d) 513\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82892 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/67, 0.4, 3, 6.642, -13 in descending order.\nAnswer: 6.642, 3, 0.4, -2\/67, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*w + 229 + 755 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**2 - 12074750*s + 7289979378125 = 0.\nAnswer: 1207475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 3*k - 1. Let j be i(2). Let n be 2 + -6 + j + 3. Is n bigger than 2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 + 11*n + 24. Let k be r(7). Let z = -404 + 628. Factor 5*g**3 - 224*g - 5*g**2 + z*g + 0*g**k.\nAnswer: 5*g**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k**2. Suppose 33 = 11*f - 0*f. Let l(m) = -f*m + 1 + 2*m - 1. Give l(z(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3\/8 + 667*n**2\/8 - 1331*n\/8 + 665\/8 = 0 for n.\nAnswer: 1, 665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 391.81l?\nAnswer: 391810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -872.8 or 125?\nAnswer: -872.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2561 = -5*q, 2*b + 2*q + 2567 = 3*b. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-9)\/7 + 14930352\/378?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = -2*b + 2*v, b - 2*v = -108 + 298. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (sqrt(180) - ((1*sqrt(180) - sqrt(180))*1 - sqrt(180))))\/(sqrt(15)\/sqrt(5)*-1))\/(-4*sqrt(1728) + sqrt(60)\/(4*sqrt(5))).\nAnswer: -4*sqrt(5)\/191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1390, -2, -19, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**3 - 8*l**2 + 30*l - 78. Give u(3).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2 - (-18 + 9 + 16).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 600 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3434.494 from 1.\nAnswer: 3435.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 185789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-56777 + 89*b + 56777)*(-2 + 2*b + 2 + (-1 + 2 - 3)*(0*b - 5*b + 4*b) + 1 - b - 1) as q*b**2 + c + s*b and give q.\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 + 2)*(-5640*s + 59*s**4 + 5640*s) to r*s**3 + b*s + o*s**2 + x + a*s**4 and give a.\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/(-2))\/(-1)*55\/((-7260)\/(-22)).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*u + 798 - 257 = 0, 0 = -3*j - 3*u + 303. Let k = j + -48. Calculate the remainder when k is divided by (0 - (0 + 5))*(-2 - 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i. Let f be y(-3). Suppose 0 = -4*n + 45 + 3. Suppose -9 - 45 = -5*h + 3*r, -4*r = n. What is the highest common divisor of f and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12864\/3350*(-80)\/(-64))\/(-1*(-1)\/20).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 10\/17 (b) 0.2 (c) 425\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1749 + 4*d - 1867 + 3616.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, w: 6}. Give prob of sequence jjj.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.6, -727, -5\/72, 0.3 in decreasing order.\nAnswer: 0.6, 0.3, -5\/72, -1, -727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21170, 87169, 197182, 351221, 549298, 791425?\nAnswer: 1077614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(32*y + 85*y + 74*y).\nAnswer: -191*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzzq when four letters picked without replacement from zzwzzzvvzzqvzwvqqzwz?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21107939\/44 - (-6)\/(-24). Let g = 478291 - y. Let z = -1433 - g. What is the common denominator of z and -13\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14497 + -9797. Is x a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m - 96. Let s = 8266 + -8280. What is d(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -123*w + 120. Let p be v(0). Calculate the greatest common divisor of p and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**6\/480 - u**5\/15 - 3*u**4\/8 + 6*u**3 - 34*u**2 - 5. Suppose n(z) = 0. Calculate z.\nAnswer: -12, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 1, q: 2, c: 4}. Give prob of picking 1 s and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 175835942 + -83435942. Round s to the nearest 1000000.\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**4\/24 + g**3\/6 - 3*g**2\/2 + 2. Let j(m) be the second derivative of y(m). Differentiate j(s) with respect to s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a century?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 5*l + 15. Let j be r(3). What is the derivative of j*m + 5*m - m**2 + 1699 - 1671 wrt m?\nAnswer: -2*m + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1188 divided by -4?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*a**2 + 155 - 22*a**2 - 39*a**2 - 27*a**2 + 128 to u*a + h*a**2 + c and give c.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.483953kg to grams.\nAnswer: 3483.953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4681 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2961450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 + -13.04. Let n = l + -9. Is n bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -94164\nAnswer: 376656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2, -266, 2\/11, -0.3, 2.8 in increasing order.\nAnswer: -266, -0.3, 2\/11, 0.2, 2, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*((-105)\/(-12))\/(-5). Let f(l) = -2*l + 10*l**2 + 3*l + 3*l - 4*l**2. Let a(v) = 4*v**2 + 3*v. Give y*a(r) + 5*f(r).\nAnswer: 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(396) + -2*sqrt(396) + 1)**2 + ((-1 + sqrt(396) + sqrt(396)*-1)**2 - sqrt(396)))*3.\nAnswer: -54*sqrt(11) + 1194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77804991 at most 77804989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14906826 by -11.\nAnswer: -1355166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (130745 + 13012*b**2 - 130745)*(0*b - b - b).\nAnswer: -26024*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(sqrt(1573)*-1)**2 + (2*sqrt(1872) - sqrt(52)\/(sqrt(12)\/sqrt(3)))**2.\nAnswer: 11598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 78273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1717 times 0.5\nAnswer: -858.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f + 4*m + 18, -5*m = 4*f + 17. Let o = 18 + -10. What is the remainder when ((-23)\/3)\/(f\/(-6)) is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 219*l**3 - 2*l - 6*l**2 - 234*l**3 to the form b*l + k*l**3 + g + s*l**2 and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1838515400 rounded to the nearest 1000000?\nAnswer: 1839000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11071146 - 11071146 + 5032*p)*(-2 + 2*p + 2).\nAnswer: 10064*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-25) - (-66)\/10. Let g = s - 5. Let u be 2\/24 - (-2)\/(-8). What is the second smallest value in 3, g, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-176)\/(1\/(-4)*(-49)\/98). Sort 1, g, 4 in decreasing order.\nAnswer: 4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 + (-45068)\/(-418) + -34\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554200679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 4:05 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2387042 to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 = 37*s - 447 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-32)*19\/(228\/(-192)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kucddkftkdddtt. Give prob of sequence kuc.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j = -1 - 27 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 78231 = -4*s - 10*h, 4*s + 2*h - 78222 = 0. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 minutes after 7:49 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101 or -13\/30?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10001442 - -5?\nAnswer: -10001437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1042*n - 398*n + 565*n.\nAnswer: 1209*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/48)\/((-36)\/2700*200)?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 35*q**2 - 26*q + 1. Let t(h) = -72*h**2 + 56*h - 3. Let m(k) = 13*n(k) + 6*t(k). Let i(p) = -2*p. Calculate i(m(y)).\nAnswer: -46*y**2 + 4*y + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011022 (base 3) to base 10.\nAnswer: 3032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*g = -0*s + 6, 5*g + 3 = 4*s. Suppose -8 = -3*f + s*f. Suppose 3*x - f - 4 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*v - 207*v - 149*v as o*v + b and give o.\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185, 263, 183, -91, -595, -1365, -2437, -3847?\nAnswer: -5631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 358 - 63?\nAnswer: 2b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/2 - -4)\/((-1)\/(-2)). Suppose -14 = -h*c + 7*c. Solve 0 = 4*l - 14 - c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2387 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*n + 2. Calculate the remainder when 11 is divided by (-4)\/(n\/6) - (-27)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161 + 190. What is the remainder when t is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 362*l**2 - l + 33 wrt l.\nAnswer: 724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 359*s + 2 = -357*s, 2*m + 3*s - 7 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70887 + 70770 = -i + 8*o, 0 = 2*i + 2*o + 36 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3236 and 10?\nAnswer: 16180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2282)\/(-489))\/((-2)\/3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280 divided by -5.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24549893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3693.3495 - 3692. Round q to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*v + 147 = 97*v. What is the highest common divisor of v and 392?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r**2 - 1 + 3 - 3. Let p be (0\/3 - 5) + 1. Let f = p + 5. What is d(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 2) + 1 + 0. Suppose 64 = 4*u - o, 1 + 19 = j*o. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32384 + -4?\nAnswer: -32388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 287 (base 10) to base 6.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480*m = 368*m + 1801*m + 55737 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 12:17 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 134, 138, 142, 146, 150, 154?\n\"Answer: 4*p + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22220692 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - 2b278?\nAnswer: -2b26b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -3, 2, -6, 1, -10, 4 in increasing order.\nAnswer: -10, -6, -3, 1, 2, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -27*n**4\/2 - 31*n**2\/2 - 30. Find the second derivative of l(r) wrt r.\nAnswer: -324*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 20, -4*t + 2*y - 4*y + 18 = 0. Let w(a) = 2*a - a - t*a. Let r(m) = -m. Suppose -u = 4*f - 0*u - 19, -f = 2*u - 10. Calculate f*w(n) - 3*r(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85.19 + 87. Let d = x + -0.75. What is d rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**2 + 6 + 0*g**2 - 2*g + 2*g wrt g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185700337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1904 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/818814 and 137\/1434.\nAnswer: 818814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/45, 0.3, -2\/3, 2?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40 + 4?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 184?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4003.8 - 4003.799967694. What is t rounded to 7 dps?\nAnswer: 0.0000323","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 225 and 2145.\nAnswer: 32175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 3:28 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -152989 - -31989. Round b to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64491759 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 988051.7 micrograms?\nAnswer: 988051700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 5*f**2 - 2*f + 2. Suppose -16*v = -23*v + 14. Suppose 0 = 5*j - 20, 0 = 9*h - 5*h + v*j. Calculate s(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128381.\nAnswer: 11, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -55307662.101+-83\nAnswer: -55307745.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1998636 divided by 499659\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1215 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (35\/2 - 3)\/(5\/10). Suppose -35*c + 654 = -k*c. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/15788097 and 47\/54.\nAnswer: 94728582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000101607 rounded to 7 dps?\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(4\/7))\/(a**(-2\/13)*a)*(a**(-1\/3)\/a)**(-13\/7)*(a**(-2\/19)\/a*(a*a\/(a*a\/a**3))\/a*a)\/(a*(a\/a**(2\/5))\/a)**23 assuming a is positive.\nAnswer: a**(-225733\/25935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 66, 273, 630, 1137?\n\"Answer: 75*x**2 - 18*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 556.4062 millimeters to kilometers.\nAnswer: 0.0005564062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10433.9999641 + 10434. Round l to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174553178 divided by 87276589?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 3. Let f(u) = -u**2 - 15*u - 13. Let p be f(-13). Let s be p + (1 - -2)\/(-3). Solve -s = -i - o*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -10)*2\/(-6). Suppose 28 - f = -v. Let b be (-10)\/v + (-4)\/10. What is the smallest value in b, -2, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3 + 50*j - 6 + j**2 - 103*j + 57*j. What is i(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/2952 and -29\/80.\nAnswer: 29520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18616085681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 2*d - 4. Let s be m(-4). Let q(g) be the third derivative of -g**5\/60 - g**4\/24 - 5*g**3\/6 + 72*g**2 - 3*g. What is q(s)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17)\/14 + 2\/(-7). Suppose -14 = -3*n - 5*k - 5, 4*n - 12 = -5*k. Which is the third smallest value? (a) n (b) m (c) -2\/11 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (60\/(-75))\/(1\/(-5)). Suppose -4*m + 6*m - 50 = y*q, m + 3*q = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22044*o*p**3 - 16755*p**3 with respect to o.\nAnswer: 22044*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.11 - -0.11. Let q = -1.4 - 0.6. Which is the biggest value? (a) q (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 5:09 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2. Let n(c) = -17*c - 17*c - 25*c + 16*c. What is n(o(r))?\nAnswer: -43*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1660295 and -69\/31150?\nAnswer: 16602950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (100\/24 - -31)*1\/5.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and 20247010.\nAnswer: 20247002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -960*t - 4229 + 8456 - 4227 to the form n + i*t and give i.\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 7\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 1101010?\nAnswer: 1100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109*c**2 - 109*c**2 - 16*c**4)*(-72 - 10*c + 72).\nAnswer: 160*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -6. Let d be (i\/2)\/(12\/80). Let y(b) = -b**2 - 14*b - 4. Is 12 a factor of y(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**3 - 5534489*o**2 + 125627*o + 361.\nAnswer: 12*o - 11068978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**2 - 1. Let v(x) be the third derivative of x**5\/30 - 3*x**2. Determine z(v(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2711081 divided by -4\nAnswer: -2711081\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4775503, -4775504, -4775505, -4775506, -4775507?\nAnswer: -4775508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/20*(((-528)\/(-60))\/(-11))\/((-9)\/(-2070)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 123811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3)\/m)\/m*m*m*m*m**4*m)\/(m**(-6\/11)*m*m**5) assuming m is positive.\nAnswer: m**(29\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2 + 1173*k - 76903. What is j(-288)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - a - 1536820. Let n = -923096 - -1760460. Let g = n - a. What is g rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197826, 197844, 197852, 197844, 197814, 197756, 197664?\nAnswer: 197532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -835, -1671, -2505, -3337, -4167?\n\"Answer: s**2 - 839*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r - 4*r**3 + 0*r + 8*r**3.\nAnswer: 4*r**3 + 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 21. Solve -2*v + 2 + s = 2*f, v = -2*f + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22922111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:15 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 4 - (11 + -10 + -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -93 - 21. Let j = q - -42. What is the lowest common multiple of 11 and j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137184 at least as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.3 (b) 0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (-20)\/(5 - 1). Let g(o) = 9*o**2 + o - 2. Let i be g(h). Solve -4*z = -i, 3*z = -2*t + 6*z + 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6826612841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 23, 5\/3, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -952 + 1679 = 240*j - 2153 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 208266240 divided by 500640\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 179. What is the hundreds digit of a(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12507 + 12655. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1335 or -1350?\nAnswer: -1350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) -2 (c) 6 (d) -2\/7 (e) 647\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*s + 2996 + 9222 = -5446. Calculate the least common multiple of s and 864.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 1\/4, 0.5 in increasing order.\nAnswer: -53, 1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -187*u + 187*u - 8*u**2 + 191*u**2 to s + t*u**2 + q*u and give t.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 w, and 1 b when three letters picked without replacement from {x: 1, b: 2, w: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169230873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -35*r - 68. Let s be k(-2). Suppose 5*y = -2*n + 32, 2*n + s*y + 3 = 23. Let o(d) = 0*d - 7 + d**2 + 2*d - 6*d. Calculate o(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqvrrnqeqnrnerrnv. Give prob of sequence qrv.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.0493 - -0.0493. Which is the biggest value? (a) 0.5 (b) 4 (c) -1 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.82 + 0.18. Let z = h - 6.7. Let x = -0.513 + 0.413. Which is the nearest to -2\/7? (a) 2 (b) z (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1861500 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(((k*(k*k**(-6)*k*k)\/k*k)\/k)\/k*k)*k**(-1\/7)*(k**(1\/4)*k)**(-1) assuming k is positive.\nAnswer: k**(73\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6660 and 4884?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 + 53. Let d = s + 41. What is the remainder when 75 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122094 is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x - 23*x + 8 = -n, 3*n = -3*x + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/9 in -129, -0.3, -126?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 11\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1312110003010 + 3?\nAnswer: -1312110003001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m + m**2 - 6 - 2*m**2 + 0*m**2. Let l be p(-3). Let u(i) = 13*i + 53. Let n be u(-4). Put l, 2, n, -4 in descending order.\nAnswer: 2, n, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41181 is divided by 156.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 267097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4965 and 46670007?\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (150\/(-21))\/((-122)\/(-854))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4087 + 4084. Suppose -2*q + 3 = -3. Let z(v) = 1 - q - 3*v - 2*v**2 - v. Determine z(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 1. Let z(l) = -5*l + 1. Let g be (-18)\/(-8) + 3*6\/(-72). Suppose 11*m = 10*m + g. Give m*v(q) - z(q).\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 646 divided by 24.\nAnswer: 323\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 4*r - 3. Let q(m) = -m**2 - 3*m + 4. Let j(h) = -2*q(h) - 3*x(h). Let g = 1 - -3. Calculate the remainder when j(-3) is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 18*f + 1344 = 0. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - h - 10. Suppose 2*f = -4*r + 5*r + 28, -f + 2*r = -8. Calculate the smallest common multiple of f and b(6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -47*t + 1095. What is z(23)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2\/3 (b) 0.33 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8474*r = 8572*r - 2450. Solve r*d = d - 48 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10000515 (base 6) to base 2\nAnswer: 1000100011000111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 - 266\/3. Let r = -0.5 + 1. What is the biggest value in 0, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - o + 7 = -2, -3*o + 15 = 0. Which is the closest to k? (a) -2\/5 (b) 29 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 12:58 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from wwwuowwwowowuww.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 2. Let c be p(-7). Suppose 0 = c*s + 10 - 35. Put 7, -5, s in decreasing order.\nAnswer: 7, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c - 41 = 103. Let w(d) = d**3 + 7*d**2 + 5*d - 4. Determine w(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4781364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*d = -6, -2*i - 3*d = 1 + 2. Sort 17, i, 4 in ascending order.\nAnswer: i, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -62, 2\/177571, -13?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prp when three letters picked without replacement from {p: 4, u: 1, r: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Let p(f) = -5*f**2 - 7 + 3 + v*f**2. Let b(q) = 1 + q**2 + 0*q + 0*q. What is 4*b(j) + p(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1222890 - -10455380.\nAnswer: 9232490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -5, 1038, -16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-9)\/30)\/((-1)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50708 or -50705?\nAnswer: -50708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1) + (-64 - -66)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34903 + -34679. What is the highest common divisor of 7936 and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 41*l + 183 + 19 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -754.0135 - -0.0135. Let c = 753.999999374 + o. Round c to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324)\/(-3*sqrt(9)))\/((sqrt(384)*6 + sqrt(24))\/sqrt(12)))**2.\nAnswer: 2\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 8*q + 100. Let a be y(0). Let t = -94 + a. Let o(f) = 6*f**2 + 7*f + 0 - f**2 - 6 - t*f**2. What is o(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/12 + (-425)\/(-170).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**4 + 1 - l**3 + 0 - 4*l - 2*l + 4*l to the form d*l + c + u*l**4 + q*l**2 + b*l**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 660562166 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1351.38 - -1305. Let n = 46 + d. Let g = -2.5 - n. What is g rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 280\/10 - (-3)\/(-1). What is the greatest common divisor of 25 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*s**5 + s**2 - 2*s**5 - 12*s**5 wrt s.\nAnswer: -360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)*1)\/sqrt(3) + sqrt(2) + (2*sqrt(242))**2.\nAnswer: 2*sqrt(2) + 968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) + sqrt(144)*-5)*4)\/(sqrt(72)\/(sqrt(45)\/sqrt(5) + sqrt(9)) - (3*sqrt(288) - sqrt(8))))**2.\nAnswer: 2048\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -1\/27*a**3 + 0*a**2 - 2*a + 1\/90*a**5 + 0*a**4 + 4. Let n(i) be the first derivative of m(i). Factor n(f).\nAnswer: 2*f*(f - 1)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9224 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.1, 0.1, 16505, -0.4, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 4:33 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*a - 45, 2*a + 6*p = p + 42. Let t = a + -8. Calculate the greatest common factor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqycscyvccqychcccccc. What is prob of picking 3 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 6 = -2*k, -2*k = -4*b + 7 - 33 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/4*6\/(-15). What is the biggest value in z, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 9*k**2 + k + 13. What is i(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k - 6 + 90 + 4 = 0. Solve k*v = -t, 0 = 4*t + 19*v - 16*v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 480 divide 131138802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -45630, -45626, -45632, -45654, -45698, -45770, -45876?\n\"Answer: -r**3 + r**2 + 8*r - 45638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 158676?\nAnswer: 158676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -195, -181, -157, -123, -79, -25?\n\"Answer: 5*r**2 - r - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1114173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*j = 40, -2*y + 3*j - 5 = -0*y. Let g(i) = i**3 - 5. Let a(s) = s**3 - 2. Determine y*a(t) - 2*g(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -311.3 - -303.3. What is the nearest to 5 in -4, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 + 0 - (11 + (-36)\/9 + -10) and 1936.\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 3*o + 6*o)*(304 - o + 540 - 2582 - 1541).\nAnswer: -4*o**2 - 13116*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + m**3)*(4*m - 4*m - 2*m) - 384*m**4 - 2 - 45969*m**3 + 45971*m**3 + 145*m**4.\nAnswer: -241*m**4 + 2*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -780? (a) -2\/5 (b) -3\/5 (c) 0.2 (d) -48 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4119 is divided by 1023?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 12 = -0. Suppose 0 = -p + 3*b + 102, 0*p + n*b = -p + 132. Suppose -q + a = -p, -3*a = -2*q + 6*q - 482. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5781 - y - 9537 - 10525.\nAnswer: -y - 14281","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 707163*p**2\/2 + 707139*p\/8 - 3\/4 = 0.\nAnswer: -1\/4, 2\/235721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 7*u**2 - 10*u - 7. Let d(t) = t**3 - 4*t**2 - 5*t - 4. Let k = 1044 - 1037. What is k*d(m) - 4*q(m)?\nAnswer: 3*m**3 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161 and 8813?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 4)*(2*i**4 - 2*i**2 + 2*i**2) + 13*i**4 - 13*i**4 + 7*i**4 to b*i**4 + y*i**2 + n*i**3 + p + o*i and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1872 and 684.\nAnswer: 35568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -114661570*l**2 + 363413598*l.\nAnswer: -229323140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11970 divided by 1995?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32743564339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.632749 - 156.619349. Let z = 154.872 - -0.128. Let v = p + z. What is v rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 324419013?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) 0 (c) -132.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 25 = h. Let t = h + -2. Let f be (2\/9)\/((-435)\/(-783)). Which is the biggest value? (a) 0.3 (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6697237 and 211.\nAnswer: 211.6697237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) + (sqrt(168) - sqrt(168)*-2))\/sqrt(8))\/sqrt(7).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -229 + 220. Which is the closest to -1\/6? (a) -5 (b) 0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 484749 = -5*j, 4*a = -j + 9150 + 87787. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 7. Suppose -g - 5*d = -3605, b = 3*g + g + 5*d - 14405. Round g to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 16 = 3*n + 4*l, -n + 4*l = -16. What is the units digit of (-9 + 3)*(-1 + n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 647 + -644.13. Let p = y + -0.87. Let h = 2 - 3. Sort p, 1\/3, 5, h.\nAnswer: h, 1\/3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**1)\/q)\/q)**(3\/4) assuming q is positive.\nAnswer: q**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 2*d + 29. Determine q(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4298229 and 12376.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*f**3 + 6*f**2*z**2 + 14*f*z**2 + z**2 wrt f.\nAnswer: 72*f + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14314 (base 5) in base 14?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40201 + -43?\nAnswer: -40244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -713, -1932, -3647, -5858?\nAnswer: -8565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**4\/8 + j**3\/6 - 2*j**2. Let z = 171 + -170. What is c(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-603)*(-204)\/(-238)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + v. Let l(u) = -23*u**4 + 4*u**3 + 4*u - 72. Let q(j) = -l(j) + 4*n(j). Find the first derivative of q(i) wrt i.\nAnswer: 92*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 201 - 73. Is 22 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 11 = -37. Suppose 663 - 153 = 10*p. Calculate the remainder when p is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, -0.4, -0.5, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1145347, 2290775, 3436207, 4581643, 5727083, 6872527, 8017975?\nAnswer: 9163427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*h**2 + 0 - 8\/3*h.\nAnswer: -4*h*(h + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 150*w - 77. Let x be ((-12)\/9 + -2)*(-30)\/20. What is the hundreds digit of j(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -461943757 to the nearest 10000.\nAnswer: -461940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5650 - -27?\nAnswer: 5677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*q + 1422*q - 284*q + 375*q.\nAnswer: 1796*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g + 135 = 30 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 295051 = 51193 + 331393. What is the thousands digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*d + 1 = -2*d, 0 = 3*d - 3. Suppose 0 = 2*o + 2*s - 12, o + 4 = -3*s - i. Calculate the remainder when o is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -913375, -1826765, -2740173, -3653605, -4567067, -5480565, -6394105, -7307693?\n\"Answer: -z**3 - 3*z**2 - 913374*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 4*w**2 - 16*w - 16. What is s(-7)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 51?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39181531?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 1:13 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18387, -36757, -55127, -73497, -91867?\n\"Answer: -18370*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15102 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*j = 523*j - 2*p - 36, 48 = 4*j + p for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**4\/8 + 2*j**2. Let n(d) be the third derivative of d**4\/6 + d**2 - 215*d. Give a(n(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9*i. Let d(a) = -9*a + 11*a + 2*a. Determine x(d(w)).\nAnswer: -36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2824727995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 229916227427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 0*s**3 - s**3 + 25*s**2 + 74*s - 8*s + 2*s**3 - 65 + 69. Let y be z(-22). Solve -v = 3*c - y*v + 9, 4*c + 18 = -2*v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 1 = -h, 5*b = -0*h - 5*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 5*d**2 + 7*d + 1. Is x(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 5. Let v be z(4). Is v at most as big as -2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2028 divided by -4\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*x - 45 = -3*f, 3*x - 23 = -2*f. Suppose 0 = -f*u + 3*u + 565. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - z + 2 + 3*z - 3*z)*(-3 + 15 + 8).\nAnswer: 40*z**3 - 20*z + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 9*b**2 - 12*b + 4. Let i be 2\/3*-5*3. Let m be p(i). Suppose -q + m = q. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*g - 30 = 0, -2*y + 2*g - 5*g = -6. Let m = -51 + 86. Calculate the remainder when m is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x. Let j(i) be the first derivative of i**6\/45 + 5*i**3\/3 - 4. Let u(a) be the third derivative of j(a). Determine b(u(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 573798 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 30. Suppose -2737 = 100*r - 123*r. Calculate the highest common divisor of p and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 354.6 + 16\nAnswer: 370.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -17816.\nAnswer: -17816.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -11*k - 7. Let m(l) = -4*l - 4*l + 3*l + 1 - 5. Let s(w) = -5*m(w) + 3*o(w). Let d be (0 - -1)\/(2\/(-2)). Determine s(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**3 - 7*k**2 - 13*k - 1. Is 4 a factor of b(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1060.225 + -0.225. Let o = m - 1059.998822. Round o to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 - -83. Suppose c = -6*b + 3120 + 3084. Suppose 2*z - 2*q - b = 0, 5*z + 8*q - 11*q = 2585. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8011 divided by -13?\nAnswer: -8011\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btt when three letters picked without replacement from {b: 9, e: 2, t: 9}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -442*w = -447*w + 4350. What is the tens digit of w\/203*(-224)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 l when three letters picked without replacement from {l: 3, z: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*y = -0*t + 18, -2*y = -4*t + 8. Suppose 0 = -5*s + t*s - 2. Calculate the remainder when 39 is divided by -2*(s - (-2 + (3 - -2))).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 6*c**5 - 203136*c**4\/7 + 34241004*c**3 + 14426064384*c**2\/7 + 20221885650*c\/7 + 862244496 = 0?\nAnswer: -56, -1, -3\/7, 2447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-131 - -130) + -1 + 0 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((21 - 18) + 86\/(-2))*-1 and 30 + 0*(5 - 6)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + -3 + (sqrt(1573)*2 - (-5*sqrt(52))\/sqrt(4)) + -3)**2 + -5.\nAnswer: -648*sqrt(13) + 9616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 112 and -1.1.\nAnswer: -123.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**6\/120 + h**5\/15 + h**4\/8 + 2*h**3 + 10*h**2. Let k be t(5). Let y be (-6 + 1)*(6 - 5). Put -1, k, y in descending order.\nAnswer: k, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2. Suppose -2*y - 3*y = f. Suppose y*w = -w + 3. Solve -4*c + 4 = -k - 4*k, -w*k + 3 = 3*c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7184\/83429 or -1?\nAnswer: 7184\/83429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -22*s**3\/15 + 7270*s**2 + 42968*s\/5 + 19832\/15 = 0.\nAnswer: -1, -2\/11, 4958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -11*w**3\/2 + 19837*w**2\/2 + 116*w. Is y(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 153, 249, 365, 507?\nAnswer: 681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 253*j - 8. Is k(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3677 + -11030\/3. Sort -2.37, -2\/3, 0.2, 4, a in descending order.\nAnswer: 4, a, 0.2, -2\/3, -2.37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/(-5) - (-4)\/(-10). Solve 4*z + 10 = -6*f + f, 5*f - t = -z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270886.\nAnswer: 2, 7, 11, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4720 - 2*h**2 - 4*h**2 - 9440 + 12*h**2 - 8*h**2 + 4720.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 49*z**2\/2 - z - 2. Calculate the remainder when k(1) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 + -94.8. What is the closest to j in 0.1, -4, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10780)\/14630)\/((-21)\/6)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -7934.\nAnswer: -3\/3967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 4, i: 3, j: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37.6 - -30. Let p = -242 - -233.54. Let b = k - p. Round b to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + u**2 - u + 16. Let z be t(0). Let i = 20 - z. What is the remainder when 6 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 2*g + 80, 5*u - 4*g = 119 + 79. Calculate the least common multiple of u and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, -10, 10, 52, 122, 226?\n\"Answer: z**3 + 2*z**2 - 9*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 3*m = 2*a + 14, 18 = -3*a - 3*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 13*z**2 + 141*z. Determine s(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, -0.5, -4, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6\/95 - -185487\/760. Let v = -491\/2 + j. Find the common denominator of v and 46\/(-12) + (1 - 2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 rounded to the nearest ten?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/1 - 7 - 0)\/8.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 2. Let t(l) = -5*l - 182. Let g be t(-36). What is the third smallest value in a, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 38*y**3 + y**2 - y + 1. Let z(j) = -43*j + 1. Let p be z(1). Let s be 14\/p + 4\/3. Does 8 divide l(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -21.1. Let t(o) = 2*o - 4. Let q be t(3). Let v be -2 + 2 + q\/(-8). What is the nearest to 2\/5 in f, v, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 13) in base 15?\nAnswer: -c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (336\/196)\/(4\/(-14)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17693 is divided by 2945?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*u - 13, -5*z + 19 = -3*u + 4*u. Solve -12*p - z = -14*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) + (sqrt(5472)*1 - sqrt(5472)) + sqrt(5472) + sqrt(38) - sqrt(38))\/(-3*sqrt(32)).\nAnswer: -13*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 16) to base 8\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-4))\/(735\/(-882)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.608315 milligrams in kilograms?\nAnswer: 0.000008608315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 19*b**7\/42 - 5*b**3\/3 + 8*b. Find the second derivative of x(k) wrt k.\nAnswer: 380*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 76649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9677, -19358, -29047, -38744, -48449, -58162, -67883?\nAnswer: -77612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 6. Suppose 2*n - 6*n - 2*x = -28, 0 = -3*n - 3*x + 24. Suppose -4*r + 8 = 4*t, 4*r - n = -18. Solve 2*v - t - 12 = b*q, 5*v = -q + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k - 18. Determine j(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-3 - 3 - -3) + -40 + 41.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 48 = 2*v, 2*v + 2*s - 45 = 3. Calculate the highest common divisor of 96 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 12. Let y = 23 + p. Suppose -5*k + y*k = 852. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 19, -12, 91 in decreasing order.\nAnswer: 91, 19, -12, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-54))\/(1*5\/15)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 12. Let c = -18 - -94. Suppose -c = 7*z + 43. Let k be s(z). Solve k*t - 3*t = 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 2288*r - 2284.\nAnswer: -4*(r + 1)*(r + 571)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -459a - b1?\nAnswer: -464b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - q + 2. Let r = 6 + q. Suppose 0 = 3*l - 2*y - 57, y = 2*l + r*y - 25. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 50*t - 260. Give c(-41).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.08 + 0.08. Let f = n - -5.8. Let w = f + 1.2000024. What is w rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/42 and 71\/210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -502 (b) -15\/154 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 57*g**2 + 53*g - 169. Let h be y(-56). Put 20, -4, 0, h in descending order.\nAnswer: 20, 0, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -701, -720, -737, -752, -765, -776, -785?\n\"Answer: o**2 - 22*o - 680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-12))\/(2\/16*-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.9 - -3.36. Let l = -0.24 - m. Let n = 3.1 + -3. What is the biggest value in l, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19261 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25 in -8, 2, 4.4, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 209952708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (13 - 2) - (23 + (21 - 33))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19500, 19485, 19470, 19455, 19440?\n\"Answer: -15*w + 19515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. Let o be 0 + 0 - f\/(6\/(-2163)). Suppose 0 = -4*b + 11*b - o. What are the prime factors of b?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a63192 (base 11) to base 4.\nAnswer: -12133222223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2446 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 13 + 1. Let f(s) = s**2 - 7*s + 10. Calculate the least common multiple of f(a) and 85.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -4, -4*v - 31 = -3*k - 36 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1 + (-12)\/(-8)). Is 0 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*b**3 - 90333*b**2 - 342*b + 15535 wrt b.\nAnswer: 240*b - 180666","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(110)*-4)\/(sqrt(1000)*3 - sqrt(1000)).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2361305052.\nAnswer: 2, 3, 1559, 42073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 13, c: 2, o: 3}. Give prob of sequence opoc.\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 340 = -3*p, -y + 3*p + 33 + 17 = 0. Suppose -4*w - w - y = 0. Let b be (-4)\/(-10) - w\/5. Solve 2*m = b*o + 3, -3*o - 6 = m - 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5833 + (-1*20)\/(-4). Suppose 0 = 3*u - 5*a - s, -2*u + 6*a - 5*a = -3885. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3500820 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -369 + 1105\/3. Which is the smallest value? (a) -5 (b) -1\/4 (c) -1 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65001236?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3426 and 356603204?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2304 and 192.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 448142 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16935\/699358 + 1\/8426. Is a at least -1.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5 - 8*k + k**3 - 3*k + 10 - 2*k - 3*k**2. What are the prime factors of l(7)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, d: 1, x: 1, e: 2, o: 2, i: 2}. Give prob of sequence yeeo.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 - -296\/5. Suppose -3179 = 12*x - 3203. Sort x, h, 3\/7 in increasing order.\nAnswer: h, 3\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 171*l - 89*l - 87*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 44 and 44 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2023312122 (base 4) to base 8\nAnswer: -2136632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 (base 9) in base 12?\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 849 = -736. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/8)\/(2\/(-16)). Suppose -n*k - 5*h + 53 = 0, 3*k + 2*h = 5*k - 4. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25, 32, 27, 4, -43, -120, -233, -388?\n\"Answer: -j**3 + 14*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9136 - 9139. Which is the nearest to -7\/3? (a) h (b) 9.8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4523 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3.5. Let l = -1 - -0.5. Which is the smallest value? (a) -4 (b) l (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s = 6*s + 3*s. Suppose s = h - 2*u - 7 - 6, 5*h + 5*u - 5 = 0. What is the remainder when 64 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 43*u**2 - 2836*u - 127. Let i be t(66). Which is the smallest value? (a) i (b) 0.4 (c) -1\/2 (d) -4 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14033*d*f*u**2 - 2*d*f*u + 133*d*f - d*u + 2425*d - 1475*f*u**2 wrt u.\nAnswer: 28066*d*f - 2950*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1938439 = -55*i + 319146. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 z when two letters picked without replacement from {n: 1, l: 6, t: 2, a: 1, z: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74764, 74748, 74716, 74662, 74580, 74464?\nAnswer: 74308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4 - 4 = 0. Suppose -y*j = a - 5, 1 = -2*a + a. Solve -4*x + x**3 - 10*x**3 - 2*x - 3*x**4 - 15*x**2 - 3*x**j = 0 for x.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 + 3*d**2 - 4*d. Calculate s(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(-25))\/((100\/106652625)\/(4\/6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 1. Let x(l) = 4*l + 3. Let p = -51 + 33. Let n = -16 - p. Determine n*f(s) + x(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eaeeeebeavae. Give prob of picking 2 e and 1 b.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.3638593 to one dp.\nAnswer: 71.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 31*s**2 + 108*s + 2. Let a be j(-27). Solve 5*c + z + 4*z - 30 = 0, -c + a*z - 6 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 3. Let w(h) = h**2 - 8*h - 13. Let z = -4 + 13. Let d be w(z). Let x = d - -7. Determine o(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91 - -95. Solve 5*g = -b*i - 2 + 1, -i + g = -2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000084566 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7240 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -20*c**2 - 31*c - 17. Let l(j) = 7*j**2 + 11*j + 6. Let n(u) = 6*i(u) + 17*l(u). Let w(m) = 4*m**3 - 3*m**2 + 3*m - 3. What is 3*n(y) - w(y)?\nAnswer: -4*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l**2 - 2. Let g be y(2). Suppose -2*i - g = -74. Suppose 0 = -4*p + 10 + i. What is p rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-410)\/(-135) - (2 + -5)\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 97*s - 675. Let w be t(7). Let b(r) = 19*r - 72. Calculate b(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147930 divided by -6?\nAnswer: -24655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from {c: 2, l: 2, o: 4, s: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 27 = -4*n, -n + 3*t - 90 + 72 = 0. Let b be ((-21)\/42)\/((-2)\/(-4)). Put n, 35, b in increasing order.\nAnswer: n, b, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 137*n**2 - 1151*n + 419. Determine z(-128).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3*sqrt(50) - (sqrt(2) + -2*sqrt(2))*-5) + (sqrt(30)\/sqrt(3)*4)\/((sqrt(150)\/sqrt(3))\/sqrt(10)))**2.\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 3*t + 3. Let p be g(-3). Suppose p*s - 60 = -5*c + 6*s, -55 = -4*c + s. Let q = c + -7. Solve 3*a = -a - q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/(q**17*q))**12*q*q*q*q**(-19)*q*((q**(-2\/37)\/q)\/q)\/q assuming q is positive.\nAnswer: q**(-7328\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6794010976 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**3\/3 + 3*i**2 + 5*i + 22028. Suppose -5*p - 4*f + 5 = 48, -4*p = 2*f + 32. Determine w(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**3 + 2*h**2 - 24*h - 1. Let y(u) = -3*u**3 + 2*u**2 - 23*u - 1. Calculate -4*q(w) + 5*y(w).\nAnswer: -3*w**3 + 2*w**2 - 19*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.065961265 from -924.175.\nAnswer: -924.109038735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -5 (c) -66 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -13271.3 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8, 11, 14, 17?\n\"Answer: 3*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5203 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45 + 1 - 4*4\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 494846.22.\nAnswer: -494846.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a77b (base 16) in base 4?\nAnswer: 2122131323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -431 + 36482?\nAnswer: 36051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*s = -7*w + 177, 2*w - 5*s - 118 = 0. Is 58 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-1*(-27)\/(-18) + 2. Let v be 0\/a - (16 + -18). Suppose -4*j + 90 = -v*j. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 8:12 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**4 + 100*p**3 + 904*p**2 + 3456*p + 4608 = 0. Calculate p.\nAnswer: -8, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 3:06 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 - -84. Suppose 0 = 3*b - l*b - 3. What is the smallest common multiple of 7\/b*(-6)\/(-21)*7 and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2935451 or -2935442?\nAnswer: -2935451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 4*x - 4. Let q(f) = -3*f**2 - 9*f - 9. Let u be 9\/(-2 + 2 - -1). Let v(k) = u*i(k) - 4*q(k). Let d(z) = z**2. Calculate d(v(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x + 12. Let k be w(8). Let f be k + (2 - (-2 - 11)). Suppose -f*q + 9*q + 34 = 0. What is the greatest common divisor of 187 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*g - 288 - 3600 = -89*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-376)\/(-235)*(-90)\/27\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**2 - 25*s + 55. Let q(o) = -5*o**2 - 27*o + 56. Let h(w) = -6*f(w) + 5*q(w). Determine b so that h(b) = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 86452246*n**3 - 51811969?\nAnswer: 259356738*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*o + 213 = -r, -58 = -r - 5*o. Let v = 103 + r. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 8*f**4\/9 + 280*f**3\/3 - 8966*f**2\/9 + 2972*f - 2070 = 0.\nAnswer: -115, 1, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1657 (base 13) to base 3.\nAnswer: 11111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, 1\/4, 3\/2.\nAnswer: -6\/7, 1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 81570869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69\/55 - -1537\/660. Let m = -23\/6 + n. What is the closest to 0.1 in m, 0.1, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180.02 rounded to the nearest integer?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.09193ug in kilograms?\nAnswer: 0.00000002709193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 979 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3995899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 17*h**2 + 0 - 21*h**2 + (2*h**2 + 2*h**2 - h**2)*(-2 - 2 + 2))*(-h + 3*h + 0*h) to the form l + o*h**3 + s*h + b*h**2 and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*d + 0*d + 23*d)*(-3 + 1 + 0) to o*d + u and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 d when three letters picked without replacement from ddns?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 361128215 rounded to the nearest 10000?\nAnswer: 361130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30127 or 791?\nAnswer: 791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + z. Let u be x(-2). Let b be (-11)\/(-33)*u\/(-8). Let d = -8\/39 + -6\/13. What is the nearest to d in b, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41028179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.41 - 0.01. What is the nearest to 1 in y, 1\/3, -6\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104487 (base 10) to base 11.\nAnswer: 71559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r - 21. Let l be f(10). Let m be (4\/3)\/(12\/18) + l. Let v(t) = t**3 - 2*t**2 - 3*t. Let d be v(3). Solve -c - i = d, -m = c - 5*i - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56081460.6 rounded to the nearest 1000000?\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -310 + 312 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 6:27 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7559.0932 to zero decimal places.\nAnswer: 7559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/11 - 58512*h\/11 - 54000216\/11.\nAnswer: -2*(h + 954)*(h + 28302)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*q - 25 - 2, 11 = 2*q - j. Suppose 5*a = q*a + 5*k - 15, 0 = 5*a - 3*k + 9. Solve 5 = -a*r + 5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 2. Let w(a) = 2*a + 2. Calculate -5*g(n) + 6*w(n).\nAnswer: 7*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djjdjjjjjjjj. What is prob of picking 4 j?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + n - 5*m - 178 = -169, 27*n + 8*n = 2*m + 204 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*d + 15, -5*d + 1 = -o - 11. Let x be o\/6 + (-18)\/4. Let g(q) be the second derivative of -q**4\/12 - 5*q**3\/6 + 3*q**2\/2 + 2*q. Determine g(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1986383.0829 to the nearest 1000.\nAnswer: -1986000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(5)*-3 + 2) - (sqrt(55)\/(sqrt(11) + sqrt(22)\/sqrt(2) + sqrt(11)) - sqrt(5)).\nAnswer: -2 + 14*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-184)\/115)\/(2\/365)*8\/32?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -4 (c) 7\/5 (d) -9 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12154479 to the nearest integer?\nAnswer: 3486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-6*3*sqrt(147))**2 - sqrt(147)))*-3.\nAnswer: -142872 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.2 (b) 3 (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 190*k - 2. Let v(f) = f**2 + 204. Determine u(v(a)).\nAnswer: 190*a**2 + 38758","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4. Let a = 0.1 + 0. Let p = 0.3 - a. Sort s, p, -0.4 in decreasing order.\nAnswer: p, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 144.\nAnswer: -(n - 12)*(n + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4aa999 + 7d?\nAnswer: -4aa91a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -37610154 divided by -13617?\nAnswer: 2762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*h**5*r - 2*h**4*r**3 + 33*h**2*r**3 - 2*h*r**2 wrt h?\nAnswer: 1200*h**2*r - 48*h*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149.4208 + -149. Let v = t + -0.42078241. What is v rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/14 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.054158 millennia in months?\nAnswer: 24649.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/12 + (6 - 420\/72). Put l, 3, 10, -4, -5 in descending order.\nAnswer: 10, 3, l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 50739236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, o: 2, e: 4, b: 3}. Give prob of picking 1 b, 1 e, and 1 o.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7349, 17815, 28281, 38747?\n\"Answer: 10466*u - 3117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -15*f - 2. What is p(9)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*m - n, -2*n = m - 3*m. Suppose 2*q = -5*a + 11, -2*q + m*a = -21 - 14. Calculate the remainder when q is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257 - -184349?\nAnswer: 184606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 10:09 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.5 + 4?\nAnswer: 79.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1303*a - 1296*a + 56 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26908*f + 26864*f - 1760 = 0 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10270081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -261 - -430. Suppose -5*k = -t + 54. Which is smaller: k or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, -2, -33 in descending order.\nAnswer: 80, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 0. Let q(i) = 9*i**2 + 2. Suppose 128*w = 131*w - 42. Calculate the remainder when q(c) is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 95?\nAnswer: 8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1322739 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*h + d + 60, -2*h - 2*d = 56. Let b = -30 - h. What is the nearest to -1\/3 in -2\/7, 5, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**5\/60 + 43*m**4\/24 - 51*m**2. Let o(k) = 2*k**2. What is c(o(b))?\nAnswer: -4*b**4 + 86*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -545383, -1090811, -1636245, -2181685, -2727131, -3272583, -3818041?\n\"Answer: -3*v**2 - 545419*v + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 59727 divided by -19\nAnswer: -59727\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -997 - -1000. Sort m, -355, 2.\nAnswer: -355, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3229 + 3237 + 3230 - 9695 - 12*j**2 - 17*j**2 - 7*j**2.\nAnswer: -36*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 13*p + 44. Determine a(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 77 and 77 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 11:39 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 10*o**2 - 10*o - 3. Let u be p(9). Let w be ((-4)\/u)\/((-2)\/(-24)). Let h be -2 - 14*w\/(-40). Put h, 1\/7, 0.2 in ascending order.\nAnswer: h, 1\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 81 - 27 = 0. List the prime factors of (1 - (-52)\/(-12))\/((-3)\/k).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 19. Let d be b(22). Let i be (d\/9)\/(2\/48). Suppose -v = 3*v + 2*o - i, 4*o + 4 = 2*v. Solve -z + v*z = 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/206, 17738, 5\/4.\nAnswer: 3\/206, 5\/4, 17738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**3 - 570*k**2 - 2*k + 253. Determine y(114).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*z - f, -5 = -5*z + 4*f + f. Solve 4*c - 27 = -z*q, q + 2 = -c + 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 292320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, r: 4, m: 2, g: 2, e: 1, t: 3}. What is prob of picking 1 e and 1 m?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(1*3\/(-6)). What are the prime factors of 0\/j - (-26 + 2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2067877*o**4 + 3*o**2 + 1081*o + 229 wrt o?\nAnswer: 49629048*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5806164 a multiple of 1014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 66*v**2 + 15*v + 34. Is k(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(2\/5))\/s)\/s*s)**(-2\/127)*(s**9*s)**(-8) assuming s is positive.\nAnswer: s**(-50804\/635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 16*g**2 + 28*g + 3. Let l be m(-14). Let r be -1 - (3 - (l + -8 + 0)). What is the remainder when (-15)\/3 + 2 - (0 + r) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p*p**(-6)*p)*p\/(p\/(p*(p**(-11\/6)*p)\/p)) assuming p is positive.\nAnswer: p**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 0 + 3\/(-3). Let h be (o - -1)\/((-2)\/(-10)). Put 4, h, -19 in ascending order.\nAnswer: -19, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10754 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l + 66. Let h be j(-7). Let s(m) = m**3 - 4*m**2 + 5*m - 4. What is s(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -162407078.9999971 + 162407043. Let r = -19 - 17. Let g = r - u. Round g to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**6\/24 + 2*s**5 - 30*s**4 + 3*s**2\/2 + 17*s + 28. Let j(z) be the second derivative of i(z). Solve j(c) = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17155.28ug in milligrams?\nAnswer: 17.15528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449253875.\nAnswer: 5, 7, 367, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127658 by -29.\nAnswer: -4402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-32)*(-8)\/(-20). Let k = -34 - -39. Which is the nearest to v? (a) k (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 10 = 5*s. Let n be (36\/s)\/(3\/2). What is m in 2\/5*m**4 - 12\/5*m**3 + 26\/5*m**2 + 8\/5 - n*m = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-42))\/((-102)\/(-18) - 3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7973 and 12529?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 11:30 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + (24\/(-36) - (-235532)\/12)?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*r - 4, 0*y - 3*y - 11 = -5*r. Suppose -4*p + 15 + r = 0. Suppose x + 3 = p*x. Solve -v - 7 = -2*w + x, 3*w = -5*v + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*y - 10*y + 3*j + 10, 0 = -y - 2*j - 9. Let n(g) = 8*g - 1. What is the remainder when 25 is divided by n(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 474.97 to the nearest integer.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17691 (base 14) to base 4.\nAnswer: 32120233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 81730 = 160499. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 326 = 2*m, 0 = l + 4*m + m - 68. What is the remainder when l is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.266 - -1.556. Let o = a + 0.27. Round o to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 r, and 1 z when four letters picked without replacement from xoorjoxjjzzezozjoeoo.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 12*j - 4 = -4*h, -3*h = j + 7. Let a be (j\/14 - (-4437)\/21)*500. Round a to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 9*k + 3*z - 3, 4*k - 5*z + 50 = 0. Put -4, k, -1937 in decreasing order.\nAnswer: -4, k, -1937","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 + 3 - 3 - 382*w + w**3.\nAnswer: -2*w**3 - 382*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4318706, -4318704, -4318702, -4318700, -4318698?\nAnswer: -4318696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (1 + 1 + -12 + -7 + 23).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 56 = 4*k + 3*a, -4*k + 5*a = -83. Suppose 0 = -0*h - 4*h + 12. Suppose -d + k = -h. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 1 - 1)*(-1 + 1 + z) + (92*z - 64*z + 73*z)*(-4*z - 2*z + 3*z) + 2*z**2 + z**2 - 4*z**2.\nAnswer: -305*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*(186\/(-15))\/(-31)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 314 (base 10) to base 3\nAnswer: 102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5\/9 + 470*c**4 + 747650*c**3\/3 + 6703490*c**2\/9 + 2231680*c\/3 + 247808.\nAnswer: 2*(c + 1)**3*(c + 1056)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4134.\nAnswer: 2, 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22\/7*c**2 - 2\/7*c**3 + 0 - 20\/7*c.\nAnswer: -2*c*(c + 1)*(c + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7864663 + -366626\nAnswer: -366626.7864663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = -30. Let n = -22 + 32. Let z = n + -9. Solve 5*i + c - z = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(68) + 1 + -4)**2*-1 - (-5 + (sqrt(34)\/sqrt(2)*2 - sqrt(17)) + (-1 + sqrt(17))*1)**2).\nAnswer: -186 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32264167 to the power of 1\/2, to the nearest integer?\nAnswer: 5680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 340.8319 grams in nanograms?\nAnswer: 340831900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.72 - 0.72. Let x = -1.4 - -1.02. Let z = 0.08 + x. Which is the third biggest value? (a) -0.5 (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 40 = -2*h. What is the second smallest value in -6, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -198592743\/506 + 392476. Calculate the common denominator of i and -151\/6.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155336 a multiple of 483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80422622)\/946239 + (-1)\/123.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l + 18549 = -26*l. Suppose 1113 + l = 6*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 12:38 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*z + 6, 4*z = 2*z + 5*v + 10. Find the common denominator of -151\/24 and (z + (-268)\/(-18))*2\/4.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6772206059 to the power of 1\/2, to the nearest integer?\nAnswer: 82293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3544? (a) 0.4 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*z**2 + 26*z**2 - 5 - 7 - 37*z**2 wrt z?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -0.06, 12?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/11 - 33980*x**4\/11 - 135892*x**3\/11 - 6176*x**2 + 12354*x + 101916\/11 = 0. Calculate x.\nAnswer: -16986, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 13912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48267)\/(-186)*40\/3. Calculate the greatest common factor of 160 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkia when four letters picked without replacement from qigkiaza.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*x = -28 - 3, 4*z + 3*x = 8. Suppose 3*m - 5*q = 0, -z*m - 39 = 4*q - 2. Which is the closest to -0.2? (a) m (b) -3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 1. Let k = 6 - 2. Let o be x(k). Let m(t) = t**3 + 2*t**2 - t + 4. Determine m(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*n - 181*n**3 - 330*n + 103*n + 104*n.\nAnswer: -181*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 14588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -1)\/(12\/(-9)). Solve 0 = 4*i + s*o + 11 + 10, 5*o + 30 = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329017, -329007, -328999, -328999, -329013, -329047, -329107?\nAnswer: -329199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = x + 32. Let p = 39 - 47.8. Let r = 3.8 + p. Which is the closest to 3\/5? (a) r (b) x (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (88\/(-55))\/(2\/10). Let h be c\/2 + (-2 - -6). Let x = -6 + 10. Solve -x = -2*o - h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 11 = 3*q - 2*q, 2*q + 10 = 3*h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g - 4. Give c(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.17 + -21.17. What is the smallest value in -105, -0.5, 2\/7, q?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, 2, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 39763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -248333.1999776 + 248334. Let m = o + -0.8. What is m rounded to 6 decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271\/(-2)*-1*(2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - 6*i**2 + 4*i**2 - 3 - 6*i - 7*i**2. Let m be l(-5). Let v be m\/(-14) + (-6)\/(-21). What is the highest common divisor of v and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 222*n**4 + 465*n - 1 wrt n?\nAnswer: 2664*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-20)*(-3)\/(-18))\/((-168)\/22848).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-2*6\/(-13218)*-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**3*z**5 + 3*r**3*z - 185*r**3 + 424*r*z**5 + z wrt z?\nAnswer: -20*r**3*z**3 + 8480*r*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 15*s**2 - 71*s + 53. Give a(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22230 and 0.251.\nAnswer: -5579.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 7:17 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 2204445.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -272*f + 1. Let s(x) = -x**2. Determine s(d(y)).\nAnswer: -73984*y**2 + 544*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 180.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*s**3 + 226*s**3 - 40*s**3 - 17*s**3.\nAnswer: 138*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 10 = -2*l, 3*b + 109 = 2*l + 102. Sort -6, b, -2.\nAnswer: -6, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 1595778219?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -16 + 9 - -1584009. What is v rounded to the nearest ten thousand?\nAnswer: 1580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 462128, 924306, 1386496, 1848704, 2310936, 2773198, 3235496?\nAnswer: 3697836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7.2+763.789\nAnswer: 770.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -63631 in decreasing order.\nAnswer: 8, -3, -63631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13500\/(-300)*81\/126*7\/30?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1611682910 to the power of 1\/3, to the nearest integer?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b7725 (base 13) in base 11?\nAnswer: 43a514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 2*n - 6. Let b be g(-2). Let f be (-7 + (-245)\/b)*132\/7. Calculate the greatest common divisor of 44 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -23, -1 in decreasing order.\nAnswer: 5, 1, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/54 + (-32)\/40.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 2 + 6*z**2 - z**2 + z + 2*z**3. Let n be i(-4). Suppose 0 = -5*c - x + n, 4*c - 2*x + 5*x + 3 = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j - 3*j - 19*j**3 + 5*j. Let s be m(-1). Let h = s + -8. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -4211133?\nAnswer: 4211134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x. Let m(k) be the third derivative of 0 + 0*k**4 + 0*k + 0*k**3 - 13\/30*k**5 - 26*k**2. What is r(m(t))?\nAnswer: -26*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4928)\/(-126)*45\/240?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/((c*c**(-6))\/c)*c)**(-7\/3))**(1\/8) assuming c is positive.\nAnswer: c**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -30 (b) -2\/5 (c) -0.181 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 17193.\nAnswer: -68772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h + 2*h. Solve 0 = -h*g + g - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*p = 5559 + 1921 for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 62997 - 0\/((-4)\/(-1)). Suppose k + y + 126003 = -k, y = k + h. What is k rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 47 - 20 - 12 + 12317*q.\nAnswer: 12317*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-60)*(-3300)\/(-5775))\/4?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30 times 4404\nAnswer: -132120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 + 63553*c\/4 + 238380.\nAnswer: -(c - 63568)*(c + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2955*0.7\nAnswer: 2068.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-71))\/((-12)\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 6.3. Let q = o + -0.29999826. What is q rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6 + 2 - 5 - 9*t + 5. Let x(w) = -10*w - 5. Let m(s) = -5*k(s) + 4*x(s). Give m(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**2. Let u(b) = -6*b**2 + 143*b - 2. Give u(l(d)).\nAnswer: -96*d**4 - 572*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19429 is divided by 9009?\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -0.4. Let n = 57 - 44. Let f be -1 + (-69)\/(-27) - (n + -11). Which is the closest to w? (a) f (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 7 (b) -2 (c) -3 (d) 4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3))**(-41) assuming j is positive.\nAnswer: j**(82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157.5 + -445.8. Round b to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*w - 3020, -4*m - 1803 = -7*m + 3*w. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one thirds of a hour in minutes?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 459*s - 84. List the prime factors of j(6).\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3023 - 2?\nAnswer: 3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 2*y**2 + y - 2. Give n(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14256 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 - 5*v**2 - 2*v - 3. Let x(o) be the first derivative of -3*o**4\/4 - 10*o**3\/3 - 3*o**2\/2 - 5*o + 25. What is 3*x(d) - 5*y(d)?\nAnswer: d**3 - 5*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.26 + 0.04. Suppose -5*p + 3*m + 2 = 15, 0 = 2*m + 8. Which is the closest to 1\/2? (a) o (b) p (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.13 and -1062423.9.\nAnswer: -1062423.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 290663179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 1 - 3. Let l be 10\/(-45) - (-68)\/(-18). Let m be (-9)\/(-4)*404\/303. Sort l, y, m in decreasing order.\nAnswer: m, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.68283 decades to centuries.\nAnswer: 5.668283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + 2 + sqrt(432) + -4) + -1)**2.\nAnswer: -288*sqrt(3) + 3904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -707 smaller than -886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/16 and -27\/119.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-2\/13)*(q*q\/(q*q*q\/q**3*q))\/q)\/(q\/q**(-2\/3)*q)**(-2\/53))\/((q**(-1))**(-16))**(-37) assuming q is positive.\nAnswer: q**(1228324\/2067)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2*c = 6*c + 35, -2*j + 4*c + 30 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 152 = -68. Suppose 8 + 7 = 5*p. Suppose c + p*c - h = 0. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76053728 to the power of 1\/3, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12318313363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(528) - (sqrt(33)*1 + sqrt(33))*-6)*6)\/((sqrt(12) - (sqrt(192)*-2 + sqrt(192)))\/(sqrt(100) - (sqrt(100) - -1*sqrt(100)) - sqrt(100))).\nAnswer: -240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1329, -2656, -3983?\nAnswer: -5310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 954*c**2 + 8030*c**2 + 1366*c**2.\nAnswer: 10350*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, i: 3, c: 2, s: 3, e: 2, n: 1}. Give prob of picking 2 e.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 228\/8*(-2)\/3. Let d = -10 - u. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24, -42, -72, -114, -168, -234?\n\"Answer: -6*o**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-460) - 325621*(-70)\/237475.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9461367 divided by 2?\nAnswer: -9461367\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 9*u - 8. Let i be v(13). Suppose 2*r + 2*r = 2*c, 4*c + 3*r = i. Is (-39)\/(-2)*c\/3 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6*d + 5*d + 2)*(-3 + 1 + 6).\nAnswer: -4*d + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.46 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 + -62?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -1.3, -10, -1\/11, 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 40144.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 7*j**5\/60 + j**4\/8 - 337*j**3\/6 - 80*j**2 + 2*j. Differentiate u(x) wrt x.\nAnswer: 14*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 35 - (-241 + 136 - (-1 + 1)).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26618 - -26623. Let x(i) be the first derivative of -30 + 0*i - 4*i**2 + 0*i**4 + 0*i**3 + 9\/5*i**p. Find the second derivative of x(a) wrt a.\nAnswer: 108*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21\/4 - 5. Let i = -16 + 28. Let p = i + -10. What is the third biggest value in q, p, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 24892*g + 49776.\nAnswer: 2*(g - 12444)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.7 + 2.42. Let i = -4.08 - k. Let g = i - -3.6. What is the nearest to 3 in 3\/4, -0.5, g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -430, -862, -1294, -1726, -2158, -2590?\nAnswer: -3022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = k + 324. Suppose k = x + 2*x - i, -3*i - 62 = -x. What is the remainder when x is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3 = 2. Let j be ((-2)\/25)\/(4\/d). What is the biggest value in 6, -4, j?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 5*a**2 - 20*a - 69. Give c(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 - (-34 + (21 - -6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 1. Let x(c) = -23*c - 6. Let m(y) = 8*y**2 - 323*y + 428. Let k be m(39). Determine k*x(h) + 6*i(h).\nAnswer: 29*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -10*b - 38. Let n be u(-6). Let s(o) = -o**2 + 24*o - 32. Let f be s(n). Suppose -4*z + f = 12. Solve z*t = t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130100846 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 11. Let b be (0*(-3)\/s)\/1. Is 0 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 18*g - 61. Let s = 3022 + -3036. What is u(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 75382931?\nAnswer: 5\/75382931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2) - 18\/(-4). Suppose -o*a = a - 5. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {l: 1, e: 1, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3250736905 to the nearest integer?\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 92980 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: Round 0.0000724733 to 7 dps.\nAnswer: 0.0000725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20063638 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.25 and -111.\nAnswer: 27.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from popooppooooooppp. Give prob of picking 2 p.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 2\/17, -118?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -57, 2, -5 in decreasing order.\nAnswer: 2, -5, -7, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6108*a**3 - 6210*a**3 + 566 - 566.\nAnswer: -102*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 + -0.05. Let g be (-104)\/(-140) + 39\/(-65). Are r and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -11. Let t be u\/2*12\/(-15). Let w be 2*((-1)\/(-2))\/1. Put -5, t, w in decreasing order.\nAnswer: t, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 2:22 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*j + 389 + 1291 = 48*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/1909 and -73\/1501470.\nAnswer: 34533810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -225600 rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/8 (b) -0.1 (c) -5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 47 = -v, 5*v - q + 81 = 380. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1912570, 1912573, 1912576, 1912579, 1912582?\n\"Answer: 3*a + 1912567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 200703, 802856, 1806443, 3211464, 5017919, 7225808?\n\"Answer: 200717*b**2 + 2*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80523\/6224 + 2\/32 - 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 11*x**2 + 2*x - 29. What is y(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*f - 49. Let q be (f\/(-8))\/(1\/(-4)). Suppose -2*d = -q - 25. Calculate the highest common factor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7117464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/2904070 and -31\/3560?\nAnswer: 11616280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4002, 8072, 12128, 16164, 20174, 24152?\nAnswer: 28092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108921442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 11:56 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4\/5)\/d*d\/d**(-1\/7))**(-2\/3)*((d**3)**(-38))**(-9\/2) assuming d is positive.\nAnswer: d**(17947\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6 + 31 - 4*r + 19. Let i be o(7). Let x = i - -32. Round x to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3630))\/(-3*sqrt(10)*3))**2.\nAnswer: 121\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 4. Let c be k(6). Let n(r) = -r**3 - r**2 + r + 1. Let v(g) = -g**3 + 2. Let y = -97 + 192. Let q = 94 - y. Determine c*n(i) + q*v(i).\nAnswer: -i**3 - 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, 1\/6, -5, 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001698450552 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muzgz. What is prob of picking 2 z and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r - 4*r + 3*r**2 + ((0*r + 2*r - 3*r)*(-2 - 1 + 1) + 0*r + r + r)*(0 + 3 - 4)*(-42*r + 88*r - 32*r).\nAnswer: -53*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 3)*(223 - 223 + 26*r) + 456*r - 92*r - 2*r to u + s*r and give s.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1101010100011100110110101?\nAnswer: 1101010100011100110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 839 to the nearest ten.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3224 + 3224 - 19*m)*(3*m + 0*m - 2*m)*(12 + 11 + 7*m - 24).\nAnswer: -133*m**3 + 19*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/22582496 and 1\/16936872.\nAnswer: 67747488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*w - 10, 0 = -3*w + 10*o - 12*o + 5. Suppose -5*f - 2*m - w = 3*m, -4*m = -f + 24. Solve f*z + l - 16 = -l, -3*l + 15 = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*x = 86, 4*p + 4*x - 3 = 85. Calculate the remainder when 79 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ytyty?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1. Let h(k) = k**2 + 2*k - 4. Let z(d) = -d + 1. Let b be z(2). Let p(j) = b*h(j) - 4*n(j). What is the second derivative of p(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 5) to base 6.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - -4 - 1 - 2*3. Let l = v - -20. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 29. Let n be w(-7). What is the tens digit of (-9)\/(n\/16) + 73?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thk when three letters picked without replacement from gxkhxxhghtxttxg?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 535, 2, -3.\nAnswer: -3, 2, 535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 17. Let z be (-114)\/l*8\/6. Suppose 106 + z = 4*y. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, q: 5, z: 4, s: 2, h: 4}. What is prob of sequence dqh?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1242 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 2*d + 8, 117 = 5*c - 3*c + 21*d for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.428 + -0.428. What is the second biggest value in 18, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17792 + -7727. List the prime factors of q.\nAnswer: 3, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/6)\/(160\/(-24) + 7). Let q = 2 + -2. Solve -12 = f*d - q*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360526949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 5, 0.5523 in decreasing order.\nAnswer: 5, 0.5523, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75\/4 of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/316386 and 113\/162?\nAnswer: 316386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -20, -3 in ascending order.\nAnswer: -20, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 2. Let a(x) = -2*x**3 + x**2 - 2*x + 2. Let s be a(1). Calculate t(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 4:27 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1474.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -9*g + 7*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 3:50 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -87176 and -87176 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-2*sqrt(288))**2*-1 - (1 + sqrt(288))**2*4) + 5.\nAnswer: -2305 - 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 453.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49740 + 49739.70993. Let x = 1.8 - 1.51. Let f = c + x. What is f rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 207755 + -7?\nAnswer: 207746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u + 5. Let h(i) = -3*i + 8 - 7 + 4*i. Calculate 6*h(b) - s(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-72)\/16*3863\/(-15). Let s = f + -1163. Find the common denominator of ((-1)\/(-2))\/(8\/158) and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(12) - ((2*sqrt(1200) - sqrt(1200)) + sqrt(12)) - sqrt(12))\/(sqrt(240)\/sqrt(10)).\nAnswer: -11*sqrt(2)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 8:59 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 15*a - 2. Let l(g) = -11*g**2. Let w be l(1). Let j be y(w). Suppose -16*f + 13*f = -j. Solve 5*t - f = 10*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l - 35. Let i be j(-13). Find the third derivative of -22*m**2 + 16*m**4 + i*m**2 + 3*m**4 - 26*m**2 wrt m.\nAnswer: 456*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 18.5. Which is the smallest value? (a) q (b) -5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**4)\/u)\/u)\/u*u*(u*(u**(-3\/7)*u*u)\/u)\/u*u**(-6\/5)*u**10 assuming u is positive.\nAnswer: u**(433\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -1\/4, 5.\nAnswer: -1\/4, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 123552827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20535 is divided by 6841?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 1. Let l(n) = n**3 - 2*n**2 + 2. Let i = -38 - -43. Suppose -8*y = -i*y - 3. Give y*l(b) - 2*m(b).\nAnswer: 3*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 4 - (10 - (-57 + 36))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/48*0)\/(1 + -2). Suppose h = 82*i - 91*i + 225. What is the smallest common multiple of 9 and i?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -114 + 23*l**5 + 114 + 3*l**5 + 3*l**5 - 4*l**5 + (-l**4 - 2*l**4 + l**4)*(-2 + 2 - l) - l**5 + 3*l**5 + 0*l**5 + 2*l**5 + 2 - 2.\nAnswer: 31*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -3410126?\nAnswer: -3410130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m - m**3 + 26895*m**4 + 2*m**3 - 26894*m**4 + 5*m**2 to the form a*m + l + v*m**3 + h*m**4 + r*m**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*sqrt(325))**2 + 4 + sqrt(325).\nAnswer: 5*sqrt(13) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + -16 + 5)\/((55\/638)\/(15\/12)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3401715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 349.7778ml?\nAnswer: 0.3497778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*w - 112*w - 121*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5781 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1411 - -1414. Solve -2*k + 3*i = 11, 0 = -3*k - 8*i + u*i - 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (71*q - 353 + 353)*(4*q + 0*q - q)*(-5*q**2 + 17*q**2 - 7*q**2) in the form p*q + d + t*q**3 + w*q**2 + h*q**4 and give h.\nAnswer: 1065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 1.6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92471641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-90)*6\/4)\/(89\/(-4806)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 17*v**2 - 430. Let r(f) = -7*f**2 + 215. What is 7*r(c) + 3*t(c)?\nAnswer: 2*c**2 + 215","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-7) + 0)*28\/6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 86194325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-8)*12\/(-10). Suppose 8*b - 15 = q*b. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 2318.97?\nAnswer: -2307.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 37\/13 + (-16)\/(-104). Suppose 2*x - q - 3*q - 2 = 0, c*q + 3 = 2*x. Is -2\/9 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (63\/6)\/(12\/128). What is the highest common factor of 182 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 10:44 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**2. Let y(r) = r**2 + r**2 - 2*r**2 + 7*r**2. Calculate x(y(h)).\nAnswer: -196*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 8*u - 14 = 0, -3*i - 753 + 744 = 3*u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 23*x**2 + 31*x - 101. Let d be t(22). Let k(i) = 2*i**2 - 4*i + 2. Let m be k(2). What are the prime factors of d + 2*(1 - m) + 6?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -2*a**3\/3 - 13*a - 37. Let x(r) = -2*r. What is x(v(i))?\nAnswer: 4*i**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 51*o + 47. What is c(-24)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 23. Suppose -6 = -4*b + a. Is 9 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -10*j + 239. Suppose -23 = -4*m - j. Solve -d + m = -2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-20)\/(-5)))\/((-7*(-12)\/(-1092))\/(-4))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or -1.9592?\nAnswer: -1.9592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 39.\nAnswer: -3, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*a**2 - 1000*a + 3*a**5 - 95*a**4 + 119*a**2 + 600*a**2 + 2*a**5 + 181*a**2 + 390*a**3 = 0. Calculate a.\nAnswer: -2, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2792 less than 2830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2. Let g(s) be the third derivative of s**7\/2520 - s**5\/120 - 269*s**4\/24 + 141*s**2. Let q(f) be the second derivative of g(f). Give q(d(w)).\nAnswer: w**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/2)\/x)\/x)**(-2\/7)*x**10\/x**(9\/2) assuming x is positive.\nAnswer: x**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -2077*g**3\/3 + 10*g**2 + 3*g + 856. Find the second derivative of i(c) wrt c.\nAnswer: -4154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 289074931?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 8:58 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -7*s**2\/2 - s - 1. Let o = 1 - 0. Suppose -o = -0*z - z. Calculate t(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -486567484*n**3 + 1339*n**2 + 65324*n - 1 wrt n.\nAnswer: -2919404904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 2*x - 5*x)*(-48 - 19 - 335).\nAnswer: 402*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2. Let z be 3\/(-3 + -3)*-6. Let t(g) be the third derivative of 0 - 1\/12*g**4 + 0*g - g**2 + 0*g**z. Calculate t(n(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -7) + -11 - -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*s + 17 = s, 0 = 3*d + 3*s - 81. What is the remainder when 98 is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/303156 and -19\/61754?\nAnswer: 3334716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2)*q)\/q**5*(q**(-2\/7))**32)**(12\/5) assuming q is positive.\nAnswer: q**(-1062\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 0 + 2\/3*u**3 - 5*u**2 + 1\/24*u**4 - 8*u. Suppose o = -2*o + x + 35, -3*x - 21 = -2*o. Let g(t) = 1. Give o*g(q) - 3*z(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 6*d - 12 + d - 5*d as z + s*d and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 793 = 13*k + 51*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g + 19. Is c(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 10 + 14)*(-4*a + a + 4*a).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Let b = -0.9 - 0.2. Let k = b - 1.9. Which is smaller: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972155534 is divided by 2794.\nAnswer: 2792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*f - 41, -x + 8 = f - 3. Calculate the remainder when 42 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrssyssy. What is prob of picking 2 y and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 38 = 23*b. What is the units digit of b - 9\/3*146\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4199 rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 29610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1873)\/45 - ((-1173)\/2484 - (-2)\/8). Which is greater: -42 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -5620, 3, -1\/585, 0 in ascending order.\nAnswer: -5620, -1\/2, -1\/585, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.00074 < -0.217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -20*t - 13. Let y = 68 - 78. What is the hundreds digit of p(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 461947 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 4:04 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)*f**(-24))\/(f**(-29)\/f*f*f**(2\/11)\/f) assuming f is positive.\nAnswer: f**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1. Let d(h) = -8*h + 2. Let r(f) = -f. Let y(p) = d(p) + 3*r(p). Let b(u) = -2*w(u) - y(u). Let c(a) = -21*a. Calculate b(c(t)).\nAnswer: -231*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -683 or -948054?\nAnswer: -683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 33 = g. Let u = g - -295\/9. Which is greater: u or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3 = -12. Suppose -32 = -y + m*y. Is 3 a factor of 2\/8 + (-30)\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 27*f + 2371. Let h be r(-64). Solve -9*t = -3*p - 4*t - 2, -5*p + 2 = -h*t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {t: 6, z: 2, s: 4, h: 3, n: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33024351 + 532?\nAnswer: 33025323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h*k**2*s + 3*h*k*s - 82*h*k - 10*h*s - 2*k**2 - 3*k - 2*s + 4 wrt s?\nAnswer: h*k**2 + 3*h*k - 10*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, i: 1, d: 3, a: 1, c: 4, o: 4}. Give prob of picking 1 o and 1 d.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 h when four letters picked without replacement from {d: 15, h: 5}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*d**2*q**3 - 10*d**2 - d*p*q**5 + 3*d*p*q - 3*p*q wrt q.\nAnswer: 468*d**2*q - 20*d*p*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -599477\/39 - -15370. What is the common denominator of a and 53\/63?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 - 353*l - 6386. What is z(-95)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, n: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 2*j**5\/55 + 4*j**4\/11 - 152*j**3\/33 + 112*j**2\/11 - 252. Let h(a) = 0. What is a?\nAnswer: -14, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/21, -1\/2, 4, -278 in ascending order.\nAnswer: -278, -5, -1\/2, 2\/21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.5 + 0.4. Let c = 0.7 - v. Let f = c - 11.3. Round f to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-20) - 28\/95. Suppose -24*n = -19*n + 390. Let d be -1 + 5 + 300\/n. Put d, -3\/5, c in increasing order.\nAnswer: -3\/5, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252914378 is divided by 84304783?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -143*b - 33. Let x(p) = 9*p + 2. Suppose -129 = 12*m - 105. Give m*f(a) - 33*x(a).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -16. Suppose -6*f = -d*f - 762. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (169*s - 169*s + 23*s**3)*(2*s**2 - 1 + 1).\nAnswer: 46*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, 5\/4, 0.2, -1\/3, -0.10487, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**3 - b**2 - b - 9*b**3 - b + 2 - 4*b**2. Let s be v(-3). Let y = -207 + s. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1536\/(-9) - (-16)\/24. Which is bigger: -169 or v?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 15\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1270182 is divided by 11441.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**2 + 15*p - 2. Let n be d(-4). Suppose -n*u = 9*u. Solve u = -0*g - 10*g + 50 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6811 and 1?\nAnswer: 6811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102564 = 42*m - 5*m. Is 84 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 12*a - 17. Let k be x(-7). Let z be k\/(-14) + (-8)\/(-28). What is the second biggest value in z, 9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 6*i = -1, -5*m + 136 - 131 = -3*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4\/7)*v*v)\/(((v**(-1\/21)\/v)\/v*v)\/v) assuming v is positive.\nAnswer: v**(94\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4038659276, 4038659277, 4038659278, 4038659279, 4038659280, 4038659281?\n\"Answer: n + 4038659275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142 and 830558.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32449768*a**2*f**3 - 326*a + 455*f**3 + 13*f**2 wrt a.\nAnswer: 64899536*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**2 + 0*u**3 + 0 + 0*u**4 + 0*u**5 + 1\/30*u**6 - 2*u. Differentiate l(t) wrt t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 20 + 2 = 0. Let q be (4 - 4)\/((-3)\/i). Suppose q = -w + 11*w + 20. Sort 2, -0.3, w, 0.3 in increasing order.\nAnswer: w, -0.3, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/283 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 326, 594, 1350, 2840, 5310, 9006, 14174?\n\"Answer: 41*z**3 - 2*z**2 - 13*z + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 569513*c = 569489*c + 1800 for c.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 54355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*l + 192*l - 156 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449 = -15*t - 3809. Let p = t - -538. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26366?\nAnswer: 2, 13183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52 or 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*((sqrt(1100) - (sqrt(1100) - (-2*sqrt(1100) - sqrt(1100)) - sqrt(1100)))**2 + -4) + (4 + 4*(sqrt(11) - -4*sqrt(1100)))**2.\nAnswer: 1312*sqrt(11) + 287081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 4*m**3 + 114 - 172.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -101*f - 4. Let s(i) = -i - 1. Let z(g) = d(g) + 3*s(g). Let p be z(1). Let o = p + 111. Solve -20 = 5*m - o*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1\/61, 0.37?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -23. Let w = -64.8 - -67.8. What is the closest to 20 in w, 2, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 8*q)*(-2 + 0 + 0).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/13 or 11\/3551?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -937699*u**4 - 95923*u - 5 wrt u.\nAnswer: -11252388*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21, 40, 57, 72?\n\"Answer: -s**2 + 22*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4986137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99505373 and 597.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y - 1. Let t(m) = -16*m - 17*m + 45*m - 14*m. Calculate o(t(r)).\nAnswer: -10*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 126276?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-27\/4)\/(x**(-13\/5)*x) assuming x is positive.\nAnswer: x**(-103\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 33*b. Calculate v(1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -66 - (-304 - -353) - (0 + -29)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*l**2 + 1576*l**2 - 132*l**2 - 1294*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 12*b**2 - 45*b + 21. Let m be j(15). Sort -1, 4, -25, m in decreasing order.\nAnswer: m, 4, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 - 3.04. Let w = 2.3 + 0.7. Let o = -8 + w. Put o, u, -1 in descending order.\nAnswer: -1, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than or equal to 15307.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - -eb?\nAnswer: df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/14*24\/18\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1812, 1818, 1836, 1872, 1932, 2022, 2148, 2316?\nAnswer: 2532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 55*g - 58*g = 33, -3*j = 5*g + 71 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**2 - 6 - n**3 - 2*n - n**2 + 4 to the form z*n**2 + k + p*n**3 + i*n and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 5 + (-11 + 7 - 8)*(11 + 9 - 1))*(0 + d**4 + 0).\nAnswer: -226*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 242 - 1901 = 0. Suppose g + 427 = 8*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -14\/265?\nAnswer: -14\/265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 30 = 5*u. Let n be -2*2\/(-8)*2 - u. Calculate the smallest common multiple of (1\/1)\/((1\/n)\/22) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87*(-324)\/(-1044) - (0 - 1).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-273)\/429 + (-4)\/11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b - 23 - 7. Suppose -2*a - 35 = -b*g, 6*g + 5*a - 100 = g. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 40. Let o(s) = -s**3 - 8*s**2 + 7*s - 13. Let r be o(c). Suppose u = r*u. Solve u = -3*x - 0*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00053832641 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 7*q**2 + 7*q - 4. What is the units digit of p(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/24*(-63)\/6. Suppose 3*o = s*o + 4*v - 212, 3*o = -5*v + 169. Calculate the remainder when o is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i + 405 = 0. Suppose 51 = -4*g + i. What is the remainder when g is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(136) - (-2*sqrt(136)*2 - sqrt(136)))\/sqrt(8)*-6)**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**4\/6 + 6*b**2. Let q(w) = -3*w**2 - 6*w - 6. Let s(v) = v + 1. Let f(n) = q(n) + 6*s(n). Give f(r(c)).\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-15)*(-20)\/(-6). Suppose 5*n - 244 = 3*n. Suppose 11 = 4*q + 3*s - 116, -4*q - 2*s + n = 0. Calculate the highest common divisor of u and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*u - 3*q, -13*q = -3*u - 14*q + 33. Solve 8 = 6*r - u*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjlb when four letters picked without replacement from tgjftjbtllljlj.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -5. Let l(j) = 80*j + 2. Is l(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - 6*g**2 - g + (4 + 3 - 4)*(2*g + 1 - 1)*(3 - g - 3) to the form d*g + k + j*g**2 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 468*u**2 - 236*u**2 - 28 - 233*u**2 in the form q*u + r + h*u**2 and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + f**2. Suppose -4*g - 67 + 63 = 0. Let h be t(g). Suppose -4*u = -h*u - 16. Solve -u*s - 8 = -0*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46a678 (base 12) to base 3.\nAnswer: 2010211000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.99 + -135.01. Let z = m + 135. Suppose j - 3*j = 4. Which is the biggest value? (a) 5 (b) z (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-8)*(-8)\/12)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 36202575 and 36202572 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 114475286 and 3.\nAnswer: 114475289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, l: 1, c: 1, s: 3, m: 1, g: 3}. Give prob of sequence sxmx.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780237?\nAnswer: 3, 86693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-5))\/v)\/v*v**3*v*(v**0*v)\/v**(-6))\/((v**(2\/7))**5*(v\/(v*(v\/v**0)\/v*v*v))**(-33)) assuming v is positive.\nAnswer: v**(-437\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, k: 3, x: 1}. Give prob of sequence txkt.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-95)\/(-1026)*-6*(882\/(-15))\/(-7)\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 2172?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69.61 - 1.61. Let n = -48 + a. Let d = n - 20.5. Put -2\/31, -0.3, d in decreasing order.\nAnswer: -2\/31, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2192 + 2207. Solve -4*t - 27 = -5*z, z - 4*t + 0*t = p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1781917295, 1781917296, 1781917297?\n\"Answer: n + 1781917294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - w - 1. Let h(z) = -2*z**2 + 4*z - 3. Let g(u) = -h(u) + 3*r(u). Let y be g(-7). Suppose 0 = -v - y + 3. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5 - ((-2)\/(-3))\/((-12)\/7866)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(18\/7)*r**(-27)*r**(-21)\/r**(-15) assuming r is positive.\nAnswer: r**(-242\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -5, -32 in descending order.\nAnswer: 22, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, a: 2, f: 3, v: 3, z: 1, q: 4}. What is prob of picking 3 f?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -940*q**2 + 268*q + 48. Let a be s(-31). What is a rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-168)*((-2720)\/100 + 28)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -11030?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-90)\/(-288))\/((-28)\/448). What is the closest to -0.2 in 2, -1\/42, 4, c?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838845 is divided by 363?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-210*i**3 - 4*i + 111*i**3 + 97*i**3)*(i - 2*i - i) to r + k*i**4 + h*i**2 + m*i**3 + f*i and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, t: 3, x: 4, a: 1, r: 2, d: 1}. What is prob of picking 2 t and 2 x?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -16db26 (base 16) to base 8\nAnswer: -5555446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709731 is divided by 2619?\nAnswer: 2601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 - 72*s**3 - 176*s**2 + 288*s + 640.\nAnswer: 4*(s - 20)*(s - 2)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2089, -4263, -6527, -8881, -11325, -13859?\n\"Answer: -45*j**2 - 2039*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*o + n - 17, 3*o - 5*n + 37 = 0. Let y = 6 + o. Suppose -140 = -2*s - y*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4 + 2 + 6 - 2*y wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 946 is divided by 189.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g - 26 = 82 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.95 - -0.05. Let t(g) be the second derivative of 3*g**3\/2 + 4*g**2 - 13*g. Let p be t(-1). Put p, -1.2, q in ascending order.\nAnswer: -1.2, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27950 - 27950 - 241*v as w*v + j and give w.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -121967, -230012, -338057?\n\"Answer: -108045*f - 13922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21650 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/7, 4\/7, -2\/5, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62\/41 + -7234\/3157. What is the common denominator of -37\/44 and j?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 0*o + 77*o**2 + 4\/9*o**4 - 128\/9*o**3 + 0 - 1\/180*o**5. Factor t(r).\nAnswer: -(r - 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12095)\/(-2360) - 1\/8. Let q be (6\/9)\/((-2)\/(-12)). Put z, 0, q, 1 in descending order.\nAnswer: z, q, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5530, -5536, -5542, -5548, -5554?\nAnswer: -5560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9820.429l in millilitres?\nAnswer: 9820429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -13 + -1 + -1. Let n = h - -50. Suppose 0 = -4*j - t + 90, -2*j = -2*t - t - n. Calculate the remainder when j is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14941 + 6991. What is u rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 + 2*y**4 + 3*y**4 + (2*y + 0*y - y)*(2 - 5 + 2)*(2*y**3 + 2*y**3 - 6*y**3)*(-155 - 27 - 49).\nAnswer: -459*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/4 + 81*m**2\/4 - 579*m\/4 + 495\/4.\nAnswer: 3*(m - 5)*(m - 1)*(m + 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.6403357 days?\nAnswer: 55325004.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6083 + -12975. Let m be l\/(-9) - (188\/(-36) - -5). Suppose -2895 = -7*f + m. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**5 + 295*m**4 + 930*m**3 = 0. Calculate m.\nAnswer: -3, 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32909529*l**6 - 73*l**2 + 147*l + 4 wrt l.\nAnswer: -3949143480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14823*-1870.\nAnswer: -27719010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-four fifths of a millimeter?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036687339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2435*n + 680*n + 25326 = -2302*n + 1196*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*k**3 + 344*k**2 + 1978*k - 9300.\nAnswer: 2*(k - 3)*(k + 25)*(5*k + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5545414 by 792202.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 12 (c) -2\/15 (d) 1\/3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -135.8971 rounded to 1 decimal place?\nAnswer: -135.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h + 3 + 9*h + 4*h + h + h**2. Let k be m(-12). Let d(y) = y**3 + 6*y**2 - 8*y - 5. Let n be d(-7). Solve -k*o - 5 = -n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31187254?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m. Let u(l) = 3*l + 4*l - 5*l. Give n(u(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1883 + -1223. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*c*d**5 + 75335*c*d**2 - 2394*c + 6*d + 2104 wrt d?\nAnswer: -880*c*d**3 + 150670*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 5*p**2 - 5*p + 7. Let r be (1 + 3)\/((-14)\/(-63)). Suppose 0 = a - 4*a + r. Is t(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006877 to 6 dps.\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17345?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cppl when four letters picked without replacement from {l: 1, w: 3, p: 10, c: 2}?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 660520.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*v + 22 = 0, 0 = -w + 21*v - 22*v + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1072 + 6787. Is 127 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 1822*u - 257*u**2 - 1822*u. Let f(v) = 6*v. What is y(f(j))?\nAnswer: -9252*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**3 - 4207346*y**2 + 1074*y - 10029 wrt y?\nAnswer: 12*y - 8414692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s - v - 12 = 0, -5*s + 22 = -v. Suppose -3*y - 3*n = -39, 33 = s*y - n - 26. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93545 is divided by 495.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*a - 47*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**2 + 126*p - 1927. Is n(17) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2887 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2149 = -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32.029 + -32. Let p = -5913.371 + 5907. Let t = p - a. What is t rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435a (base 13) to base 6.\nAnswer: 111214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (156\/16)\/(3\/8). Let m be ((-45)\/(-2))\/((-1)\/(-2)). Let h = m - x. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6035 + -5907. Let x(w) = 26*w**2 - w - 1. What is the remainder when s is divided by x(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 78 - 78.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*j - 487 + 1003 + 879 = 0 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44.18 * -0.3.\nAnswer: -13.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 4:22 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 6. Let l = 15 + -10. What is u(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6135747?\nAnswer: 3, 37, 167, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 794, -4, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -15. Solve p - o = 5*c - 3, 2*c + 2*p = 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 17 = 4*h, 0 = -3*h + 2*h + 5*m - 23. Suppose -3*r + 73 = r - 5*j, -4*r - h*j = -66. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x + 1750054 = 308094. What is x rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*u**6 + 198*u**4 + 160*u**2 wrt u?\nAnswer: 360*u**3 + 4752*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2141 + 4?\nAnswer: -2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8.8 from 0.0391.\nAnswer: 8.8391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*m + 239*m - 4 = 0. Suppose -1 = -3*j + 11. Find the second derivative of 3*l - l**j + 7*l**4 + 2*l**m wrt l.\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(77)\/(4*(sqrt(11) + sqrt(275))) - (sqrt(56)\/(sqrt(56)\/sqrt(175)) + 0)).\nAnswer: -59*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -12. Suppose -4*y - 5*v + w*v = -91, -y + 18 = 5*v. Find the first derivative of -y*j + 12*j**3 + 4 + 23*j wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 938*u + 929*u - 168*u + 697*u.\nAnswer: 2396*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 - -3) - (-24 + 25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35578*d**2 + 123830*d.\nAnswer: 71156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(72)\/(-3*sqrt(9)) + sqrt(8) - sqrt(8))**2.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 114, -2, 132, -13 in increasing order.\nAnswer: -13, -4, -2, 114, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2. Suppose -3*b - 5*h + 4 = -7, -5*b + 7 = -3*h. Suppose 0*g - 128 = -2*g + r, -b = -r. Let a(u) = 7*u + g - 65. Calculate v(a(d)).\nAnswer: 245*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 6. Let n be y(-4). Suppose 8 = i - m, 3*m = n*i - 16 - 4. Solve i*b = 3 + 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4701?\nAnswer: 3, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from {w: 1, n: 1, k: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*l - 3*t, 23 = -3*l - t + 6*t. Let a be (-77)\/28*(-1)\/(1\/8). Suppose 4*n = v - a, 5*n - v + 21 = -3*v. Sort l, -4, 0, n.\nAnswer: n, -4, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 8265695897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4477437538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.77 in 0.041, 4, 2\/13, 1, -719?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1252 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3377 - 3379. Let n(a) = -13*a + 2. What is n(h)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 356748.\nAnswer: 356748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 64821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m - 256 - 140 = 0. Calculate the greatest common divisor of 768 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2584 = 5*l + 3*l. Let n = 503 + l. Suppose 2*k**5 + 65*k**4 + n*k**2 - 2*k**5 - 240*k**3 - 5*k**5 = 0. Calculate k.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2982 is divided by 187?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, c: 1, k: 5, s: 4, e: 7, p: 1}. Give prob of picking 1 h, 1 k, and 2 s.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2. Let n(q) be the first derivative of 0*q**2 + 0*q + 4\/3*q**3 + 1. Calculate n(o(a)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 106.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 3 + 0 - 2. Let g be h(-6). Suppose -5*w - r + 0*r = -25, 4*w - g = -3*r. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q - 2 = 92 - 10 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 plus 10951164907?\nAnswer: 10951164922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 10*k**2 - 5*k - 14. Let z be q(-9). Suppose -4 = -3*x + h, 3*x + 2*x - 5*h = -10. Find the common denominator of -61\/10 and 685\/z - (-9)\/x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y**2 + 7*y - 7. Let i(g) = 1 + g**2 + 3*g - 4 + g**2. Let b(q) = 7*i(q) - 3*x(q). Let o(m) = -4*m**2 + m**2 + m**2. What is o(b(d))?\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13524 is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 123941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -341630 >= 106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 2:36 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((1 + sqrt(7))*3 - (-2 + sqrt(175))))**2.\nAnswer: -80*sqrt(7) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q**3 + 2*q**2 + 2*q. Let g(j) = -154*j**3 + 63*j**2 + 63*j. Calculate -2*g(m) + 63*t(m).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -4*c**2 + 0*c**4 + 0*c**3 + 4 + 0*c + 1\/5*c**5. Find the second derivative of g(k) wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/4)\/((-1)\/4). Let j(s) be the second derivative of 24*s + 1\/12*s**4 + 0 + 5\/6*s**3 + 7\/2*s**2. What is j(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 >= -1.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 2*(4 - (-14)\/(-4)). Solve -2*b = -x*v + 6, -2*b + 7*b - 5*v = -5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*h + 5, -3 = h - 0*h + j. Let f = 144.9 + -144.5. Which is the closest to -1? (a) -7\/2 (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427104 is divided by 729.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10968 and 48696?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 18*d**2 + 19*d - 5. Let g be (-6)\/14 + 8 + 330\/35. What is the remainder when 0 + 115 + -1 + -1 is divided by x(g)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 384*c**4 - 2*c**3 + 50*c**2 - 7*c wrt c?\nAnswer: 9216*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 1 - 65. Solve -5*f = -3*v - j - 18, 4*f - 26 = 2*v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*l*o - 347*l + 1723*o wrt l.\nAnswer: -3*o - 347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6174)\/1539 + -1 - (-1430)\/286.\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -12. Let x(y) = y - 2. Let a be x(f). Solve -a*d = -15, -s - 5*d + 29 = -1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1868 + 442 = 70*h. Calculate the highest common factor of h and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 63, 45, 21, -9, -45, -87?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/9 (b) -3\/5 (c) 0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u - 16. Calculate t(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a. Let d(u) = 327*u**2 + 4360*u. Let z(w) = 5*d(w) + 4360*y(w). Let i be z(-1). Is 4\/(-6)*i\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, i: 1, c: 9}. What is prob of picking 2 c?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*i**6*w + 378*i**3*p*w - 2*i**3 + 3*i**2*p + 3512*i*p*w + p*w wrt i?\nAnswer: 1440*i**3*w + 2268*p*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 378 and 6748110?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 + 6*b. Let n(r) = 10*r**2. What is n(k(f))?\nAnswer: 40*f**4 - 240*f**3 + 360*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/20 (b) -17\/8 (c) -0.1 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**2 - 11362228*t - 102259728 = 0.\nAnswer: -2840548, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1541 - 2*w - 1253 - 11*w + 2796.\nAnswer: -13*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5529 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 427 and 0.183394.\nAnswer: 78.309238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30700 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 570.23 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 + 4.562.\nAnswer: 124.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1527 at least as big as -1541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1784 by 8.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + -1. Let v = 8 + o. Which is the nearest to 0? (a) v (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, n: 3}. What is prob of sequence npp?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8360 = -27*w + 5796 - 629. What are the prime factors of w?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4076051 + -0.1.\nAnswer: 4076050.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 174*y - 86. Calculate the remainder when 230 is divided by i(1).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Suppose -w + 5 = -3*g - 2*g, -5 = 5*g + j*w. Let z = 82\/3 - 27. Which is the closest to z? (a) g (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 83*l + 2*l)*((-2*l + 2 - 2)*(-2*l**2 + 3*l**2 + l**2) - 349*l**2 + 146*l**3 + 349*l**2).\nAnswer: -11928*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3037 is divided by 153.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 966 times -4417\nAnswer: -4266822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrn when three letters picked without replacement from {z: 2, r: 5, n: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*y - 3*i + 127, -3*i + 15 = 0. Let v = 44 + y. Let u be 2\/4 + 223\/2. Calculate the highest common divisor of u and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 118 - 63. Suppose -z = -3*d + 8. Suppose o - 23 = -d. Solve -l = o*s + 11, 2*s + 8 + 5 = -3*l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1466272844 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x + 4*b - 108428 = 0, 542068 = 5*x + 2*b. Suppose 14*q - 69318 = x. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*y - 54. Suppose -c + 4 = 0, 10 = 4*s + 2*c - y. Solve -2*z - 3*l + 2 = 3, -4*z + l + s = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1232526.\nAnswer: 2, 3, 205421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340088.\nAnswer: 2, 7, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**4 + 270*w**3 + 2412*w**2 - 5880*w = 0.\nAnswer: -10, 0, 2, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 228*u - 468 + 45*u + 468 - 88*u**2 wrt u.\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2 - 2901*g - 694548 = 0.\nAnswer: -531, -436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 2*z = -3*a, -4*z = 3*a - 24. Suppose 0 = 5*u - 5*x + 115 - 390, -3*u + a*x + 168 = 0. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*d = 58*d - 485. Calculate the remainder when d is divided by 98.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9.89416ng?\nAnswer: 0.00000000000000989416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -47. Suppose -p + 1436 = 3*p + 4*u, 3*p - 2*u = 1097. What is the highest common divisor of p and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10192 and 2228226?\nAnswer: 17825808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 3:25 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -7. Let s = z - -11. Let d = s + -4.984. What is d rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 6*t - 9*t - 17 = 0, 2*t = 4*q - 14. Let h(x) = 16*x**q + 4*x**2 - 24*x**2. Let z(g) = -30*g. Give z(h(s)).\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 1. Let a be l(0). Solve -5*c - a = 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 7*t + 8. Let i be u(-7). What is the units digit of ((-3)\/2)\/((-3)\/i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13\/24, -2\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7704 = -203*o - 2087 - 2998 for o.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2, 0.04 in decreasing order.\nAnswer: 0.04, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 610429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -63 - (536 + -451).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(2736)*2*3.\nAnswer: -216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 212\/(-5194)*-343*(-36)\/14.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -9*s**3 + 14*s**2 + 6*s - 11. Suppose -7*m - 26 = 23. Let n(i) = 5*i**3 - 7*i**2 - 4*i + 6. Let r(a) = m*n(a) - 4*y(a). Determine r(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, d: 2, f: 1, s: 1, c: 2}. Give prob of picking 1 h, 1 s, 1 f, and 1 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z - 9 = y, -4*z + 8 = -y. Let n = -2 + 0. Let u = 10 + -11. Which is the closest to z? (a) u (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -172 and 0.00641812.\nAnswer: -1.10391664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4))\/(15\/(-40)). Suppose -u*x - 21 = -7*x. Find the first derivative of 88*w + x - 88*w + 7*w**3 wrt w.\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -256?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcccccnznncnc. Give prob of sequence zc.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -46, -101, -176?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4147*i + 8287*i - 4165*i.\nAnswer: -25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + u = 14, 2*u - 12 = -3*f + 1. Let i be ((-10)\/2)\/(-1) - -1. Suppose f*t = i + 12. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 190836226 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 - 19*a**2 + 10*a - 7. Let z be x(9). Suppose 0 = -l - z*m - 11, -m = 4*l - 6*l - 22. Is (-3379)\/l + (-4)\/22 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 2, -8, 0, -2 in descending order.\nAnswer: 2, 0, -2, -8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i - 20. Suppose -13 = -5*r + 7. Factor a**5 - 4*a**2 + 9*a**r - 2*a - i*a**4 + a**5.\nAnswer: 2*a*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-5))\/(-1))\/(212\/(-3180))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3476 + -7.6524. What is the closest to -2 in 0.1, s, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 2254.\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1907*n - 5871 wrt n.\nAnswer: -1907","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-15 - -25) - 28?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 31*k - 4. Let g(m) = 43*m - 10. Let a(i) = 17*i - 4. Let q(s) = -10*a(s) + 4*g(s). Determine c(q(r)).\nAnswer: 62*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 10*a**2 - 29 - 15 + a**3 + 32 + 8*a. Give q(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 + 0)*(88*q - 2970 + 2970) as a*q + m and give a.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36, 34, 14, -24, -80, -154?\n\"Answer: -9*i**2 + 25*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + -4*557\/(-702). Let j = 206129\/3510 + h. Let z = 58 - j. Sort -3\/5, z, -3, 0.3 in increasing order.\nAnswer: -3, -3\/5, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -65*p + 466. What is the tens digit of q(-37)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/2)*f**(-16\/7)*f*f\/(f*f**(-2\/11))*(f*f*(f\/f**(-3\/7))\/f)\/f assuming f is positive.\nAnswer: f**(-181\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259, -252, -239, -220, -195?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1097*a. Let x(r) = -17*r + 2. What is x(n(i))?\nAnswer: 18649*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(475) + 0)**2.\nAnswer: -1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 8. Let t(s) = -4*s**3 + s**2 - s - 1. Let l be t(-1). Suppose l*h - 3*v - c = -v, v = 3*h - 6. Solve -4*o + 3*i = 7*i - 12, -o = -h*i + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/((-54)\/675).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 389. Calculate t(57).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 300*h - 4580. What is b(17)?\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7175*b**2 + 0*b - 222 - 7174*b**2 + 764 + b + 624.\nAnswer: b**2 + b + 1166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - f + 1. Let q(l) = 3*l**2 - l + 1. Let v(o) = 7*h(o) - 5*q(o). Let w(k) be the first derivative of v(k). What is the units digit of w(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**6\/120 - b**5\/60 - b**4\/24 + b**2. Suppose -2*t = -0*t - 4. Let l be 1\/2*0\/t. Give q(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/42 and 55\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39135553.\nAnswer: 39135553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -1. Suppose 20 = -5*k - 3*f, -5*k = 4*f + j + 16. Which is smaller: k or -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/3)\/x**(-1)*(x*x\/(x\/(x\/(x*x**(-2\/5))))*x*x)**10)\/((x**0)**(-1\/11)\/(x**(-1)*x**(-2))) assuming x is positive.\nAnswer: x**(92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 5:39 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*((v*v**(-6))\/v)\/v*v)\/v*v**(-4)*v)\/(v\/(v\/v**(1\/15))*v**(-2\/3)) assuming v is positive.\nAnswer: v**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2348594 (b) -0.2 (c) 8 (d) 3 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/6 - 44\/12) + 9. Solve 6*m = g*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 16, -2\/5, -3\/7, -5.\nAnswer: -5, -3\/7, -2\/5, 0.4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 103, 117, 141, 175, 219, 273, 337?\n\"Answer: 5*d**2 - d + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from assaasaaaas. What is prob of sequence asa?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 92963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t + 4. Let q(p) = p. Suppose 14*f + 19 = -65. Calculate f*q(n) - c(n).\nAnswer: -n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 5 (b) -1.86 (c) -0.4 (d) -1 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (1 + 0) - (42 + 15 + -54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.27532ml in litres?\nAnswer: 0.07627532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j + 6*j - 6*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/8 - 153*m\/2.\nAnswer: -m*(m + 612)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -137, 12, 199, 412, 639?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33814?\nAnswer: 2, 11, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1176*r**2 - 719*r**2 - 1286*r**2.\nAnswer: -3181*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 90 = 5*g, 3*g - 10*h - 68 = -9*h. Which is greater: 19 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/137? (a) 5 (b) 4.9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -208, -181, -132, -55, 56, 207, 404?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -49*b - 179. Let n be z(-4). Suppose -10*p + n*p = 65443. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 3*q = 0. Let y = 93842 - 93837. Sort 1, y, 2, q in descending order.\nAnswer: y, 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (42 + 1))*1. Let i = -20 - w. Suppose 2*d - f = 38, -2*f - 3*f - 90 = -5*d. Calculate the lowest common multiple of i and d.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or -7\/144366?\nAnswer: -7\/144366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/4172 and -19\/70328.\nAnswer: 492296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83619 is divided by 2284?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -51570 times -2423\nAnswer: 124954110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -183 + 218. Calculate the smallest common multiple of s and 49.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o + 4 - 34. Suppose -2*g - o*t + 59 = -12, 3*g + 3*t = 84. What is the first derivative of g + 2*z - 5 + 2 + 0 wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59413 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i + 17. Determine n(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -152.02 + 1.02. Let j = x + 156. Which is the nearest to 6? (a) -2 (b) j (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2235 + 2235 + 1572*g**5 + (-g + 9 - 9)*(-2*g**4 - 2*g + 2*g).\nAnswer: 1574*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**19\/(k**(-29)*k)*(k**(-23))**(-1\/32))**(-15\/7) assuming k is positive.\nAnswer: k**(-22905\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q - 1. Let i(u) = -5*u**2 + 5*u + 1. Let v(r) = -5*a(r) + i(r). What is the derivative of v(g) wrt g?\nAnswer: -20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -r - r + 3*u, -2*r - 5*u + 12 = 0. Let a be 2*(-2)\/(-1) - r. Find the first derivative of -1 + 0 - 2*g**3 + 2 + g**a wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -29. Let k = t - -30. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - (-21)\/6)\/((-2)\/(-36)). Let g(v) be the second derivative of -v**3\/6 - 3*v**2\/2 + v - 2. Determine g(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*r**4 - 7*r**2 - 5 + 2*r**3 + 16*r**4 + 4 as j*r**2 + n*r**3 + y + v*r + u*r**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*p\/p**(-40)*p)\/p*p))**(-38\/5) assuming p is positive.\nAnswer: p**(1596\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -153193\/28 - -5472. What is the common denominator of 71\/4 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -34. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 + -0.04. Suppose -5*g + 6*g - 5 = 0. Put -3, n, g, -2\/27 in ascending order.\nAnswer: -3, n, -2\/27, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -118?\nAnswer: -5\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 59 = -j, -1013 + 868 = -5*x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-4)\/(48\/(-18))*(-8)\/(-18))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2888*b + 29348 = 2899*b. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3320000728 to the power of 1\/2, to the nearest integer?\nAnswer: 57619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -80*s**5 + 40*s**4 + 6715*s**3 + 9440*s**2 - 5980*s + 800 = 0. What is s?\nAnswer: -8, -2, 1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-7) - 0)\/(2\/14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 2:20 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 378948.9 minutes?\nAnswer: 22736934000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m**2 + 33*m - 7. What is the smallest common multiple of v(-5) and -2 - (-2 - -1) - -38?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253899799 is divided by 501?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.04767s in microseconds?\nAnswer: 81047670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q. Let j be r(1). Let l = j - 19\/3. Let u = -3381.9 + 3376.9. Which is the closest to 2\/3? (a) l (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10.4, 94, 5 in descending order.\nAnswer: 94, 5, -10.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-2 - -10 - (-2 - -9)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148072602, 148072604, 148072608, 148072614, 148072622, 148072632, 148072644?\nAnswer: 148072658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.066256 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 2*n + 2*n)*(5*n - 2*n - 2*n) - 19*n**2 - 21*n**2 + 9*n**2 + (5 + 0 + 0)*(-50*n - n**2 + 50*n).\nAnswer: -35*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6251 - -10977. What is the lowest common multiple of u and 18?\nAnswer: 42534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13354, -9918, -6482, -3046, 390, 3826?\nAnswer: 7262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 3*c**2 - 6*c**2 + 8*c - 2 - c. Let n be b(6). Let r(i) = -i**3 + 3*i**2 - 4*i + 3. Let q be r(2). Put n, 2, q in decreasing order.\nAnswer: n, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -113752 - -196451. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.1 + -7.8. Let x = k + 5. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10971 (base 15) to base 8\nAnswer: 147024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2 - g**2 + 131*g - 10 - 5*g**2.\nAnswer: -6*g**2 + 131*g - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1737639513576\/12155 + 142956768. Let h = x - 2\/715. Is h at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(77)*3)\/((sqrt(245)\/sqrt(7))\/sqrt(5) + sqrt(7)).\nAnswer: -9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 16*n - 3. Let h(q) = -q**2 - 14*q + 3. Let i(o) = -6*h(o) - 5*y(o). Calculate i(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*l - 1. Let r(b) = b**3 + 4*b**2 - 4*b - 3. Let i be r(-4). Let x = i - l. What is the highest common divisor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 658389*w - 232870?\nAnswer: 658389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q + 11. Let y be -2*(-1 + -2 - (-36)\/8). Let m be c(y). Which is bigger: -8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 31*u**3 - 2*u**2 - u. Let g be c(-1). Let v = 1 - g. Calculate the highest common divisor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/(-9)*(3\/(-9))\/((-12)\/(-108)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -851*z**2 - 160063*z - 14098. What is g(-188)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*h - 3 = 15, 4*h = -3*n - 10. Suppose 3*y - 6 = -2*q, 2 - 4 = -y + q. Solve 3*o - n = -c, -4*c - 7 = -y*o - o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -5 + (-9 - -17) - 7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 2*n + 1. Give w(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 156 + -118 + 40?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -227, -511, -909, -1421, -2047, -2787?\nAnswer: -3641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-94)\/(-10) - (-14)\/(-35). Let g be -10*(d\/15)\/(-1). Let j(c) = -5 + c**3 - 15*c + 11 + 8*c + g*c**2. What is j(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-152)\/(-70))*14.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 3. Let s be k(3). Let n = 342 - 326. Let h = s + n. What is the least common multiple of h and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjo when three letters picked without replacement from {y: 1, m: 1, o: 2, f: 1, b: 2, j: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2307030564?\nAnswer: 2, 3, 67, 2869441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2882695 rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017204 a multiple of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-35\/2)\/n**(-2\/5)*n**(-18)\/(n\/n**(4\/9)))**(1\/36) assuming n is positive.\nAnswer: n**(-3209\/3240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 o, and 1 i when three letters picked without replacement from {w: 1, o: 1, i: 5, n: 2}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*u - 637, 5*f + 0*f - 632 = -3*u. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -1 + -3 + 253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 9*w - 4*w. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124145440?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(52)*-5)**2.\nAnswer: -5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 1 + 9. Suppose 0 = 8*i - 13*i + r. Let o = 2 + i. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1081356.36 hours?\nAnswer: 6436.645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**2 + 27*o - 67. Let v be s(18). Let x = 2000 + v. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5352390?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*x - 280*x + 48 = -777*x + 253*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b - 1. Let j be m(-2). Suppose 12*s - j*s - 20 = 0. Solve -s*t + 2 = -5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3439\/2, 1\/6, -195\/7.\nAnswer: -195\/7, 1\/6, 3439\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 6756.956?\nAnswer: 6756.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -166755.\nAnswer: 1\/33351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7332 and 1410.\nAnswer: 36660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - (sqrt(308) + sqrt(308)*1)\/sqrt(11))\/sqrt(2))\/(-5*4*(sqrt(7) - (sqrt(112) - sqrt(7)))).\nAnswer: -sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((36\/(-280))\/(24\/(-40)))\/(17\/((-1190)\/21)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 588 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (576\/20)\/(-8))\/(43\/(144480\/128)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + f**2. Let p(w) = -6*w**3 - 4*w**2 - 8. Suppose 6*c - 42 = -66. Determine c*q(x) - p(x).\nAnswer: 2*x**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -57, -127, -197, -267, -337, -407?\n\"Answer: -70*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*g + 230*g = -213*g - 340 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -6. Let g(x) = -7*x - 6*x**j + x**3 - 6*x**2 + 3*x**2 - 1 + 4*x**2. What is g(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 18 + 2 = 0. Suppose 428535 = s*i - i. Suppose 3*y - 22842 = 3*z - i, 5*z - 5 = 0. Round y to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.61, 0.5, -3\/16, 1.03.\nAnswer: -0.61, -3\/16, 0.5, 1.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14159 + -14150. Solve 15 = -2*v + f, -3*x + 2*v = 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 662522\nAnswer: -198756.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, d: 2, m: 7}. What is prob of sequence dm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 4. Let o be (b + -1*2)\/(-1). Let r = 0 - o. Solve r*u - 8 = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/18262742 and 91\/24.\nAnswer: 219152904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.83 + 0.83. Let i = o + 7.02. Which is the second biggest value? (a) i (b) 7 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68442\/(-2196)*312\/(-143)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 4*d + 2. Let h be b(-4). Solve h*w = -2*w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6538 (base 11) in base 7?\nAnswer: -34111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - ((-3)\/1 - 5). Let f(i) = -i**3 + 9*i**2 - 8*i - 5. List the prime factors of f(v).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(1\/30)\/((-2742)\/(-185085))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c - 25*c - 4704 = -42*c. Suppose 0 = 2*d + 4. Let b be (2 - 0 - -12) + d. Calculate the highest common factor of c and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*u + 7 - 35 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**3 - 2*r**4 + r + 29*r**2 - 30*r**2 - 6*r**3 + r to w + y*r + o*r**4 + u*r**3 + d*r**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -302 or -289?\nAnswer: -289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**4*v + 19*f**4 + 534*f*v wrt f?\nAnswer: 12*f**2*v + 228*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**3\/2 - 285*y**2 + 1775*y\/2 + 1170 = 0.\nAnswer: -117, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/84 and -17\/508728?\nAnswer: 3561096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2395 times -4?\nAnswer: 9580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*t = -71*t + 50 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -95222849*z + 38571722?\nAnswer: -95222849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a decade in months?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-1 - (4 - -1)). Let v be (-4 + 6)\/(1\/2). Which is greater: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(56\/(-24))*-1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 14 = -26. Solve 9*c - 28 - r = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*n**2)*(-66*n - 49*n - n + 5*n) as w*n**2 + a*n + u*n**3 + l and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 250 - 170 = 0. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q + 12. Let a(i) = 47*i**3 + 3 + i + 28*i**3 - 17*i**q + 2*i**2. Let b be a(-7). Round b to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 14. Let q(w) = 2*w + 25. Let t(x) = -5*c(x) - 3*q(x). Let k(y) = -y - 6. Let j(l) = 4*k(l) - 5*t(l). Determine j(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24956 at most 24946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -19.9. Suppose -2*d + 992 = 2*d. Let o be d\/280 - (-4)\/(-14). Sort o, s, -3\/7 in descending order.\nAnswer: o, s, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 + -177 + -12 + 11 + -63?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307*h - 307*h - 4*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 744*t**2 + 108*t**3 + 753*t**2 + 2 in the form c + x*t + g*t**3 + b*t**2 and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2908610 divided by 4.\nAnswer: -1454305\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -19*g. Let a(l) = 2*l**2 + 35738*l - 2. Give x(a(k)).\nAnswer: -38*k**2 - 679022*k + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -138, 18, -4 in increasing order.\nAnswer: -138, -4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-204)\/(-9) + (-10)\/(-45)*-3. Suppose -58 = -9*j - g. Suppose -77 = -2*a + 5*y, -2*a + 2*y = 3*y - 47. Calculate the remainder when a is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65186 by 2.\nAnswer: -32593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 28 - 9 - 11 - 1 - 2*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/((((b*b**(2\/7))\/b)\/b)\/b))*b)\/b*b)**26*b*b**(2\/3)*b**(-1\/5) assuming b is positive.\nAnswer: b**(934\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3\/5 - 16*g**2\/5 + 12*g\/5.\nAnswer: 4*g*(g - 3)*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.88766869 rounded to 2 dps?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 take away -4864275.7?\nAnswer: 4864256.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(24)\/sqrt(2) + sqrt(12) - sqrt(48)*-1)\/((sqrt(324) - 5*(sqrt(324)*-2 + sqrt(324)))*-6).\nAnswer: -sqrt(3)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.7, 645 in increasing order.\nAnswer: 0.7, 1, 645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/41))\/(o\/((o\/o**11)\/o)) assuming o is positive.\nAnswer: o**(-449\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14218 + -6660. List the prime factors of p.\nAnswer: 2, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.3 + -16. Let f = v + -3.3. What is the second biggest value in f, -3, 4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + -43 - (-1 - 8)) + -4 + -8 - -2?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 8*q + 7. Which is the fourth smallest value? (a) q (b) 0 (c) 3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i**3 + 306*i**2 - 2974*i + 187. Give x(13).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**7\/840 - x**6\/72 - x**5\/60 + x**4\/12 + x**3\/2 - x. Let h(t) be the second derivative of y(t). Calculate h(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 3*a + 4*a)*(-1 + 2*a + 1) + a**2 + a**2 - 4*a**2 + 3*a - 68*a**2 - 2*a + 67*a**2 to n*a**2 + q + s*a and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/5 - -13\/10. Let k(o) = o + 9. Let r be k(-5). Suppose -5\/2*d**3 - 3\/2*d**2 - d**r + j*d + 1\/2 = 0. Calculate d.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33999, 135953, 305887, 543825, 849791, 1223809, 1665903?\nAnswer: 2176097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 8:53 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5434?\nAnswer: 2, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + -16560?\nAnswer: -16604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2. Suppose 0 = 3*x + x - 44. Let l = x + -7. Let p(m) = 0*m**2 - 2*m**2 - 5*m**2 + l*m**2. Give p(f(t)).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15438734 - -0.152698. Round u to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5 + 64*m**4 - 186*m**3 - 5372*m**2 - 9920*m - 4800 = 0 for m.\nAnswer: -6, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, 14, 59, 126, 221, 350, 519?\nAnswer: 734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, s: 3, r: 1, b: 1, h: 3}. Give prob of picking 1 r, 1 h, and 1 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**2 - 2*r + 11. Let i(q) = 9*q**2 - 3*q + 23. Suppose z + 2*p = 3, -5*p + 25 = -4*z - 15. Calculate z*x(a) + 3*i(a).\nAnswer: 2*a**2 + a + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10110981.\nAnswer: 3, 3370327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 272 - 270. Find the third derivative of -41*a**t - 5138*a**3 - 65*a**5 + 5138*a**3 wrt a.\nAnswer: -3900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -926 - 1090 = -14*f. Calculate the greatest common divisor of f and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/3*c**2 - 2\/9*c**3 + 0*c + 0 = 0. Calculate c.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -17*s**6\/10 + 51*s**2\/2 - 9*s - 2. What is the first derivative of b(h) wrt h?\nAnswer: -204*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/71 and 41\/77.\nAnswer: 5467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151219863?\nAnswer: 3, 43, 379, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 26126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180\/(-680))\/(19\/(-5814))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 5*i**3\/3 + i**2\/2 + 2*i. Let w be (3 - 26\/9)*((-144)\/(-9) + -7). Calculate c(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 2450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1645 + -1645.3. Let g = -0.05 - 0.05. Which is the biggest value? (a) 1 (b) g (c) m (d) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxq when three letters picked without replacement from xzzxqs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -281 + -405?\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4 - 75*c**3 + 393*c**2 - 557*c + 240 = 0. Calculate c.\nAnswer: -80, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 6030?\nAnswer: 30150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, q: 3, o: 3, l: 10}. Give prob of picking 2 t and 1 o.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 224.4 - 252.4. What is the nearest to 0.2 in -0.5, a, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2315615*g**3*s**4 + 5*g**3*s**2 + 6*g**3 + 4*g**2*s**2 - 3*g*s**2 + 92*s**5 - 9*s + 18 wrt s.\nAnswer: -55574760*g**3*s + 5520*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l - 2*l**2 + 3 + 3*l**3 - 4*l**3 - 3*l**2. Let w = 18 - 8. Let t be 5*2*(-4)\/w. Give n(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktp when three letters picked without replacement from {k: 1, r: 2, o: 2, p: 6, m: 7, t: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 4419550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.69 + -22.23905665.\nAnswer: -17.54905665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19735 in -3, 5, -97?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17134, -34297, -51472, -68665, -85882, -103129, -120412, -137737?\n\"Answer: -z**3 - 17156*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 2*g - 1534, 408 + 199 = 2*z - 3*g. Suppose 1185 = -303*a + z*a. What are the prime factors of a?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1811 less than or equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1109 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1362, 973, 3304, 5631, 7954, 10273?\n\"Answer: -2*u**2 + 2341*u - 3701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 7:32 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z. Let u(c) = 4*c. Let r(y) = -7*i(y) - 4*u(y). Let g(j) be the first derivative of j**2\/2 - 1. What is r(g(p))?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 223 - 8289?\nAnswer: -8066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 13 + 9)*(-f**3 + f**2 - f**2).\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32113092989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -1\/4*c**4 - 7*c - 11\/3*c**3 - 25 - 1\/2*c**2. What is the remainder when i(-12) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a millennium in months?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 10*n**2 - 9*n + 2. Let m be v(9). Suppose -51 - 13 = -m*x. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34625 - 2?\nAnswer: 34623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -4*w - 3*c - 256, -3*c = -2*w + 106. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -30.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*1 + 1 + (sqrt(175) - (sqrt(175)*-2 + -5))**2.\nAnswer: 155*sqrt(7) + 1601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2029791 and -25.\nAnswer: 5.0744775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (21 - 29)*3 + (-6)\/2. Sort -6, 5, h, 3 in descending order.\nAnswer: 5, 3, -6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 35205*s + 105322. What is q(-3)?\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/36 and ((-284)\/(-10))\/(-3 + (-138)\/(-30)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*r + r - 36281, -5*r - 2*h = -36279. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*j + 6298 = -529*j - 2630 for j.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1927728*x - 86 = -1927771*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from {i: 3, f: 2, m: 4, h: 2, p: 1, n: 2}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2369 + 137?\nAnswer: 137.2369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1435*q**2 - 7. Let f(u) = -2*u**2. Determine c(f(z)).\nAnswer: 5740*z**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -1, 0, -5.\nAnswer: -5, -1, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2886759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.787010084 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + 8. Suppose y + 4 = c. Calculate the highest common divisor of y and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 4 - 4)*(-2*v - v + v) + 117*v + 2*v**3 - 688*v - 1361*v - 3*v**3.\nAnswer: -5*v**3 - 1932*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (3 - (-144)\/(-12))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyqbqqqpry. What is prob of picking 1 b, 1 y, and 1 p?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -497.9 from -7.7295.\nAnswer: 490.1705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 61 and 7349413.3.\nAnswer: 7349474.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 7*h = 984. Suppose -2*u - h = -153. What is the greatest common divisor of u and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + t + 426, -3*b + t + 257 = -t. What is the greatest common divisor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 125341365 and 10.\nAnswer: 250682730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g + 2. Let f(y) = 2*y + 1. Calculate -3*f(d) + z(d).\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51513.47mg?\nAnswer: 51513470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 14. Let c be (-840)\/18 + (-4)\/z. Let w = c + 68. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 27 + 30 = 0. Let g(d) = 3*d + 3. What is g(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000607 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17845, 36693, 55541?\nAnswer: 74389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 8*x**2 - 4*x + 26. Determine w(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18558 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3207 divided by -33?\nAnswer: -1069\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*q**2 - q - 125.\nAnswer: -12*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**5 - 532*r**3 - 7*r**2 + 21158*r wrt r?\nAnswer: 20*r**3 - 3192*r - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w - 15 = 37*w, -3*w + 309250 = 5*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1889\/132 - -23\/44. Find the common denominator of -47\/3 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29028 is divided by 436.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -1\/7 (b) -59506 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 535829 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - ((-12)\/(-66) + 26\/(-22)). Factor 0 - 1\/6*t**5 - 1\/3*t**4 - 1\/6*t**3 + 0*t + b*t**2.\nAnswer: -t**3*(t + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 6*r**2 + 2*r + 12. Let s be l(-6). Suppose s*f + 802 = 2*f + 2*g, 0 = -5*f - 4*g + 2005. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12422\/(9\/(54\/12)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 792 = -16*k. Let g = k + -61. What is the remainder when 174\/3*2\/4 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5400)*4)\/(-6*sqrt(18)\/sqrt(1296)).\nAnswer: -240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 6. Let c be m(3). Suppose -3*d - u = -2*u - 53, 4*d = -c*u + 62. Calculate the remainder when 65 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53363 = 4376*b - 558*b - 3729 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**3\/5 - 1892*w**2\/5 + 33084*w\/5 - 29484 = 0.\nAnswer: 9, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, -0.5, -38?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 - 5*r**2 - 2*r - 5. Let k(z) = z**2 + 1. What is g(w) + 5*k(w)?\nAnswer: 3*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -8. Let j = 1885 + -1871.944. Let v = g + j. What is v rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(2\/29)))\/(o**(2\/107)\/o))\/(o**(2\/19)*o)**(-31) assuming o is positive.\nAnswer: o**(2081974\/58957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-4)\/12)\/((-22)\/(-33)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llvvvllvlvllv. What is prob of sequence vv?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -6 + 0*m + 13\/24*m**4 + 0*m**3 + 7*m**2. Let g(c) = c. Calculate u(g(b)).\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 175.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/14 - (-2)\/7. Let n(r) = r**3 + 10*r**2 + 8*r - 7. Let t be n(-9). Factor -b - 1\/2*v**t - v.\nAnswer: -(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32.37 or 20.24?\nAnswer: 32.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/77)\/(-5))\/(43*294\/(-58996))?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 37*s**2 + 89*s - 80. What are the prime factors of z(-33)?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*n - 92*n - 40 = -5*i, 2*i - 10 = 0. Solve r = -5*d + 7, -14 + 5 = -n*d - 2*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 5786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 908, -5, -3, 15, 2, -11 in descending order.\nAnswer: 908, 15, 2, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1253248 and 20928.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-452 - -451) + (-1 - -1) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -128, -131, -152, -203, -296, -443?\n\"Answer: -2*n**3 + 3*n**2 + 2*n - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20101 + -11?\nAnswer: 20030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-300)\/120 - (-8)\/3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6981096097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94379 is divided by 46?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h + 6. Let q(s) = -4*s**3 + 3*s - 1 - s**2 + 5*s**2 + s + 2. Is q(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -20*h + 55 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 15) to base 8.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9805.839 millilitres in litres?\nAnswer: 9.805839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.9 - 0.9. Let m = 7 - q. Let z = -4 - -3. Which is the second biggest value? (a) 0.4 (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-6)*54\/4*351\/84240*120?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2*w + w**2 - 9*w**3 + w**4 + 9*w**3 to the form f*w**2 + p*w**3 + u*w + g + r*w**4 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.89 + -0.24. Let c = -0.64957 + i. What is c rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*y + 145 = -147, 0 = u - 5*y - 167. What is the highest common factor of 133 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37.3 - -36.9. Which is the third smallest value? (a) -1\/2 (b) 13 (c) -0.1 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 + 72 = 72*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2162 + -2157. Suppose -5*s + 9 = -4*c, 0*s + c + 3 = 2*s. Solve -l*k - s - 4 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntvvtvvtznnznzti. Give prob of sequence tnt.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, n: 4, e: 3, c: 4}. Give prob of picking 1 z and 2 e.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, -150, -596, -1508, -3054, -5402, -8720?\n\"Answer: -28*g**3 + 19*g**2 - 9*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 48. Suppose 166 = 3*z - c, -2*z + 0*z = c - 109. Calculate the remainder when z is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z - 2. What is the smallest common multiple of a(-2) and (-38)\/(-10) + 2\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b = -78 - 160 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.60929 rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/((h*h**(-2\/15))\/h)))\/(h*h\/(h\/(h*h**(2\/15)\/h*h))))**2 assuming h is positive.\nAnswer: h**(-98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 - -76. What is the greatest common factor of b and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -684, 15, -4 in decreasing order.\nAnswer: 15, -4, -684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*x + 3*a, -5*x - 37 = -2*a + 3. Let z be 34\/x - (-1)\/4. List the prime factors of (-140)\/(-12) + z\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/(-150))\/((-2880)\/(-600))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (104\/403)\/((-600)\/(-106950))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -147*k + 16 + 100*k + 82*k - 19. Let m(t) = 17*t - 1. Calculate -5*m(n) + 2*r(n).\nAnswer: -15*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 smaller than 271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/2385)\/(95\/114)\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*(-3*4*(sqrt(832) + -2)*2 + 4 + -1))**2.\nAnswer: -78336*sqrt(13) + 1927333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s - 226. Let d be q(27). Let v(p) = -p - 8. Let w be v(-6). Sort w, d, 2.\nAnswer: d, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 3*p + 1, -1 = 2*p - 4*n + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002826720653 rounded to 4 decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 132*f + 28 + 52 - 109*f - f**2. Let x be c(26). Solve x*v - 2*u + 17 = u, 4*v + 1 = -5*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.11, -4\/3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 8 = -82. Let x = r + 37. Let h = x + 19. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -209, -207, -193, -161, -105?\n\"Answer: v**3 - 5*v - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19585968 to the power of 1\/2, to the nearest integer?\nAnswer: 4426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1140865*15.5.\nAnswer: 1.76834075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 10 = -6, 0 = n - 4*g - 35. Let b = -3 + n. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 7 = -4*f, 0*f - 13 = -4*f - b. What is the first derivative of 0*j - 11*j**2 - f*j - 3 + 4*j wrt j?\nAnswer: -22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/7 - 120*q**4\/7 + 531*q**3 - 6962*q**2\/7 = 0. Calculate q.\nAnswer: 0, 2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*h**2 - 48 + 46 + 4*h**4 + 4*h - 3*h**4 + 3*h**4 - 2*h**4 in the form u*h + a*h**3 + l*h**4 + w*h**2 + v and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**4*v + 2884*h**3*i**2*v + h*i**2*v - h*i**2 - 160*i*v wrt h?\nAnswer: -12*h**2*v + 17304*h*i**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 13) in base 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 1:03 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -3 (c) -0.2 (d) 2 (e) -1\/2 (f) 84.38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1390, -1402, -1436, -1504, -1618?\n\"Answer: -2*v**3 + v**2 - v - 1388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfof when four letters picked without replacement from ooorrorfarafqq?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 3*v**8\/112 - v**4\/2 + 11*v**2. Find the second derivative of q(a) wrt a.\nAnswer: 180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 10:21 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5408?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -149*o + 9. Let x(i) = 443*i - 29. What is -7*a(d) - 2*x(d)?\nAnswer: 157*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58557 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1069*l. Let s(r) = -70*r**2 - 2*r. Determine s(g(f)).\nAnswer: -79993270*f**2 + 2138*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -1. Let k = 9.3 - o. Suppose -6 - 10 = 4*d. Which is the third smallest value? (a) k (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 275*v - 1632. Determine h(6).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6389065 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 + -357 + 182\/(-12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3064419826378 from 0.1.\nAnswer: -0.2064419826378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*n = -3*f + 18, -42 = -4*f - 3*n. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-7) + 42\/49 + -2. Put -286, l, -15 in ascending order.\nAnswer: -286, -15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 46372 (b) 2\/11 (c) -12 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + h + 2)*(-2*h + 0 + 0) - 95*h**2 + 94*h**2 + 13*h + 31*h.\nAnswer: -3*h**2 + 44*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12566 + 12585. What is the remainder when 21 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from {s: 4, i: 1, l: 5, u: 3}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -5.2. Let p = -377 + 377. What is the nearest to -1 in f, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 - -2 - (38 - -4).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12972101?\nAnswer: 97, 133733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 15*z**2 + 60*z - 35. Let k(y) = 12*y + 54. What is the remainder when k(17) is divided by d(10)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + p**2 - 5*p - 3. Let z be h(-2). Suppose 5*k - 22 = -2*w + 3*k, 5*w - 4*k - z = 0. Suppose -6*j + 269 = -w. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*h*j + 601*h*q**5 + h*q**3 + 3*h*q**2 + h*q - h - 55*j*q**3 + j*q**2 + 332*j wrt q.\nAnswer: 36060*h*q**2 + 6*h - 330*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-2*f**4 + f**2 - f**2).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/14 + 60\/(-70)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-5))\/(30\/75). Let q be 2*(1 + 2\/2). Suppose l - 6 = -2*d, 8*d - 3*d - q*l - 41 = 0. Solve -f*r + d*r = -2*a, 0 = -5*a + 5*r + 30 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 2234.\nAnswer: -22.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10199811.7 and 0.9.\nAnswer: -9179830.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m - 47. Let g(n) = -49*n - 236. Determine -4*g(w) + 22*z(w).\nAnswer: -2*w - 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8890 - -15203. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*x + 444652 = 9220*x - 96911 + 27651 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 1, -1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 903.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 23*y**6\/120 - y**5\/60 - 5*y**3\/6 - 6*y**2. Find the third derivative of i(a) wrt a.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-12))\/(9\/(-4))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 26038219.5us?\nAnswer: 0.00030136828125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5531 + 4256 = 75*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47091*0.4.\nAnswer: -18836.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1774513?\nAnswer: 13, 136501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 2:24 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 27278*t**2 + 19 + 5*t**3 + 5 - 27278*t**2 in the form l*t + o*t**2 + v + b*t**3 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 137.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 34*s + 159. Calculate the remainder when v(13) is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -585, -4706, -15891, -37674, -73589, -127170, -201951, -301466?\nAnswer: -429249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(3\/(-35)) - 3 and 41?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114393 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53754 is divided by 517.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - -14 - 30\/(-6). Calculate the highest common divisor of s and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 9*m = 40, 123*j - 21 = 124*j + 5*m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2098718*z + 2098719*z + 2*x, 13*z + 6 = -x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 1\/5*x**5 - 4\/5*x**6 + 32\/3*x**3 - 15 + 2\/21*x**7 + 0*x**2 + 8*x**4 + 3*x. Factor t(v).\nAnswer: 4*v*(v - 4)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u + 6*u - 14*u**2 + 22*u**2 wrt u.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/(g*g\/g**(7\/2))*g)\/g)**(-7)*((g\/(g*g**(4\/3)*g*g*g*g))\/g)\/g**(1\/5) assuming g is positive.\nAnswer: g**(-1141\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -5439.\nAnswer: -10\/5439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -49855 divided by -74?\nAnswer: 49855\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.184 - 714.484. Let a = -755 - p. Let f = 39 + a. What is f rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 6*k**2 + 5*k + 4. Let u(j) = j**2 + 9*j + 15. Let i be u(-7). Let y(h) = h**2 - h - 1. What is i*a(o) + 6*y(o)?\nAnswer: o**3 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-3\/4)))\/y)\/y**7*(y\/(y*y\/(y*y**(1\/2))*y*y))**(2\/123)*((y\/(y**(-3)*y)*y)\/(y**(-2\/17)\/y))**(-2) assuming y is positive.\nAnswer: y**(-52999\/2788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.02 + 0.02. Let x = -51.6 - -45. Let j = x + 6.3. Put 4, v, j in descending order.\nAnswer: 4, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 13, -2\/13, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-34) + ((-4)\/8)\/((-17)\/20983614) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 7*n - 3. Let x be m(5). Let y(w) = 13*w**2 + 17*w**2 + 5 + 7*w**2 - w - x. Let i be y(2). What is the greatest common factor of i and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**3 - 7*o**2 - 11*o + 26. Is b(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + 3 + sqrt(112))*4)**2.\nAnswer: 36864*sqrt(7) + 101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 51364933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16537130?\nAnswer: 2, 5, 439, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**2 + n - n)*(-8*n - n - n)*(-2 + 3 + 1) to j + x*n**3 + k*n + m*n**2 and give x.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 381750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 11246070 to the nearest 10000.\nAnswer: 11250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(64) - sqrt(4) - sqrt(4) - sqrt(4)))\/(-1*sqrt(3)*1) - ((sqrt(20) + sqrt(100)\/sqrt(5))*2)\/(sqrt(4)*1*4).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24100 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -286293*n**3 + 1334174*n.\nAnswer: -1717758*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 13*l - 18. Let c(q) = q**2 + q. Let f(t) = -2*c(t) - d(t). Calculate f(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121102220112 - -11?\nAnswer: 121102220123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4153*a + 133*a - 1310*a - 427*a.\nAnswer: -5757*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhpm. Give prob of picking 1 m and 1 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 689 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40090454 rounded to the nearest 100000?\nAnswer: -40100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 260*p**2 - 18 + 260*p**2 + 5.\nAnswer: 2*p**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 - 38*p - 50*p - 2*p**3 + 88*p - 8.\nAnswer: -3*p**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*d - 32*d = -2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 3:39 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, k: 2, u: 2, p: 1, s: 1}. What is prob of sequence spzz?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(0 - 1\/91165). Suppose 4*b = 2*v + 262322, -6*b - 524670 = 4*v - b. Let m = v - o. What is m rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86466 is divided by 86267?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-35))\/((-11)\/(-77)) + (-4421)\/(-1). Calculate the highest common factor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 g when three letters picked without replacement from {k: 1, g: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + (sqrt(192) + -1*sqrt(192))*3 + sqrt(192))**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0121? (a) -4 (b) 72 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 9*m**2 + 5. Let y be l(9). Suppose 0 = y*n + z - 249, -3*n - z + 151 = -2*z. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1672 and 456?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**2 - 2 + 25*u**3 + 8*u - 24*u**3 + 1. Calculate the smallest common multiple of 10 and q(-5).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 5*w**4\/4 + 25*w**3\/3 + 15*w**2 - 563. Factor u(g).\nAnswer: 5*g*(g + 2)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*p = -45, -5*p = 2*q + 19 - 2. Find the second derivative of 3*g**3 - 7*g**2 - 2*g**3 + 744*g - q - 743*g wrt g.\nAnswer: 6*g - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, c: 2}. Give prob of picking 4 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**5 + 8375*i**4 - 512460*i**3 - 1612620*i**2 = 0.\nAnswer: -1734, -3, 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 28 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 0)\/(2 + -3). Solve -s + 5*s = a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12198 - -2b84?\nAnswer: -d414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -16. Let q(z) = -2*z - 4. Let v be q(p). Sort -4, -1, v.\nAnswer: -4, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, -48, -143, -276, -447, -656, -903?\n\"Answer: -19*o**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5099217979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1.8. What is the nearest to -1 in 12, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = j - 6 - 0, l + 54 = 5*j. What is the greatest common divisor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 - 3. Let i(p) = -5*p**2 - 5. Let z = 93 - 89. Calculate z*i(j) - 7*n(j).\nAnswer: -6*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2704021706 to the nearest integer?\nAnswer: 52000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -68 (c) -2 (d) 1\/2395\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1769 times -1\nAnswer: -1769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187 and 35717?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p + p + 0*p)*(-2 - 6 - 6) + (2*p + p - 2*p)*(-1 + 15 - 7) to q*p + y and give q.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18697 + 4?\nAnswer: 1869b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from cccccchaahciccapccc?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2307793660 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 896 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 215.8, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-45)\/(-18))\/((-2)\/(-4)). Suppose -f*t + b = -3*b - 30, 5*b - 12 = -2*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 7*s - 18*s = -5740. Solve 23 = -38*l - s for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 11112*r - 11109. Calculate x(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -265 - -488. Suppose v + 3*w = x, -6*w + 5*w = 4*v - 859. List the prime factors of v.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 117282 = 13922. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + sqrt(3) - sqrt(15)\/sqrt(180).\nAnswer: -1 + 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -8. Let o be 6 - 2 - (-22)\/(-4). What is the closest to -2\/3 in o, 3, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 - -76. Suppose 0*b = y*m + 4*b - 19572, 4869 = m - 5*b. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -151*u**7\/5040 - u**6\/90 - u**5\/60 + 7*u**2. Let f(b) be the third derivative of l(b). Is f(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/12)\/(2\/8). Let b(m) = -m**2 - 6*m - 3. Let g(y) = -3*y**2 - 17*y - 8. Suppose -7 + 1 = -2*t. Let q(n) = t*g(n) - 8*b(n). Determine q(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58? (a) 3 (b) -4 (c) 14 (d) 1.32036\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**2\/2 + 4*b - 2. Let z be o(0). Suppose p + 6 = -z*a, -a + 24 = 2*p - 5*a. Solve 0 = -3*t - p - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvrrvvrrlsikilv. What is prob of sequence lir?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -366 divided by 6\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13124076 (base 8) to base 9\nAnswer: 5450547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17484656*z**3 - 23566042*z**2?\nAnswer: 104907936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2819103 to the power of 1\/2, to the nearest integer?\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21253554 rounded to the nearest 10000?\nAnswer: 21250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1080 and 89\/2376.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98473 + 98473 - 3*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4386162191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 9\/(-3) - 1. Solve -m*s = -s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3 - 5*h**2 + 4 + 3*h**2 - 2 - 4*h. Let o be u(-3). Let x = o + 43. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2183, -9177, -20835, -37157, -58143, -83793?\n\"Answer: -2332*h**2 + 2*h + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 18\/11 (c) -48 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 12*q**2 + q - 16*q**2 + 5*q**2 - q. Let w(m) = -140*m**2. What is t(w(a))?\nAnswer: 19600*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a**3 + 7*a**2 - 3*a + 2. Let i(l) = -4*l**3 + 3*l**2 - l + 1. Let m(o) = -5*i(o) + 2*u(o). Give m(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.7 - 8. Let v = -0.17 - 4.83. Which is the second biggest value? (a) p (b) v (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(153) + 4).\nAnswer: 20 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34241, -68493, -102745, -136997, -171249?\n\"Answer: -34252*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 956 (c) -2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -174*v**5 - 116*v**3 + 71*v**3 + 272*v**2 + 45*v**3 wrt v?\nAnswer: -10440*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1255488, -1255749, -1256010, -1256271, -1256532?\nAnswer: -1256793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -10. Let c(s) = 10*s + 6. Let k be c(13). Suppose -2*t = -p*t + k. Solve t = 5*w + 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -42*x - 110. Let w be i(-3). Let o be (-3)\/(25\/(-14) - -2). Let z = o + 18. Solve z*l = -0*l - w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(2*-2 - -3). Let q(y) = 2*y. Let w be q(-3). Let t be 2\/w - 30\/(-9). Solve -8 = -t*c + 5*f - 24, 0 = -g*f + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -699.1 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*t - 3314 - 2590 = -4209 - 9515 for t.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360 divided by 72.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 3)*((3*z - 2*z + 2*z)*(0 + 0 + z**2) + 3*z**3 + 2*z**3 - 3*z**3) in the form g*z**3 + l*z**2 + w + u*z and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125 divided by -25?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1980085124?\nAnswer: 2, 495021281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - d + 19 = 5*q - 38, 3*q = -0*d + 3*d - 57 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-4 - -6)) + -3 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16707, -33415, -50123, -66831, -83539, -100247?\n\"Answer: -16708*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2578 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p + 2*p)*(-5*p**2 + 7*p**2 - 13*p**2 + p**2 + 2 - 2 + (4*p**2 - 3*p**2 - 3*p**2)*(2 + 4 - 5) - 3*p**2 - 4*p**2 + 5*p**2).\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(216)*-4)\/sqrt(12))**2 + 1 + (-5*(sqrt(2) - (sqrt(4)\/(sqrt(2) + sqrt(8)) + sqrt(2))))**2 + 1.\nAnswer: 10436\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 79 = 3*t, 6*t - 2*t + x = 127. Suppose 793*f - 807*f + 2156 = 0. What is the greatest common divisor of t and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1. Let s(y) = y**2 - 4*y - 10. Let p(f) = s(f) + 5*z(f). Let a be p(5). Suppose 3*o + 2*o + 3800 = a. What is o rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**3 - 47*i**2 + 5*i + 2 wrt i?\nAnswer: 12*i - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + q = 35. Let v(i) = 2*i - 10. Does 2 divide v(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 10*b + 9. Let y be f(-6). Let c = -12 - y. Let z(t) = c*t + 2*t - 3*t**2 + t + t**3 - 6 + 10*t**2. What is z(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 589?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3457*b + 5906*b - 2770*b + 8634*b + 7703*b + (3 - 2*b - 3)*(0 - 2 + 3) as x + h*b and give h.\nAnswer: 22928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 18*d**2 + d - 116. Give n(17).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = 11*t + 76 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49531349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.11 - 3.11. Let v = -36 + 359\/10. Sort v, 0.4, p in decreasing order.\nAnswer: 0.4, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbbwbb. What is prob of sequence bbbb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -127954278 minus 30696?\nAnswer: -127984974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21102212 (base 3) in base 16?\nAnswer: -152f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.18001 rounded to 1 dp?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -17*x + 6. Let f(n) = 35*n - 11. Give -6*f(s) - 13*u(s).\nAnswer: 11*s - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.77 + 132.23. Let t = x + -128. Which is the nearest to 0.2? (a) 0.1 (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8445 times -0.1?\nAnswer: -0.58445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2990\/153 - -969551\/50184. What is the common denominator of -65\/72 and p?\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 56\/3*d**2 - 314 - 8*d - 98\/9*d**3. Factor u(x).\nAnswer: -2*(7*x - 6)*(7*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13901 + 27802 - 13901 + 10*o**2 + 19*o**3 + 3*o**3 + 0*o**3 - 4*o**3 + (-o + 4 - 4)*(-4*o**2 + 2*o**2 + 4*o**2).\nAnswer: 16*o**3 + 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205, 396, 579, 754, 921?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2*f = 14, -23 + 81 - 14 = 2*a + 5*f - 5 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 136, 148, 190, 274, 412, 616, 898?\n\"Answer: 2*v**3 + 3*v**2 - 11*v + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unaouunuuuuuuuooquua. Give prob of picking 2 u and 1 q.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 12:08 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*b - 1 + 47*b + 118*b**3 + 4*b**5 - 125*b**3 wrt b?\nAnswer: 80*b**3 - 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5438 = -s - 5462, -s - 31 = 5*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -976, -2, 13, 0, -1 in descending order.\nAnswer: 13, 0, -1, -2, -976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 46*n + 4. Let h(t) = 46*t + 3. Let r(u) = -3*d(u) + 4*h(u). Let m(z) = -z - 19. Let l(j) = j + 38. Let s(g) = l(g) + 2*m(g). Calculate s(r(q)).\nAnswer: -46*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*8\/(-5 + -3). Let f(p) = p**2 + 3*p - 2. Let h be f(-5). Let a be -7 - (h*-1 + 4). Which is greater: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = 5*d - 108, -5*d + i = 96 - 195 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -17*t**2 - 6*t - 12. Let k(r) = -r**2 - r + 1. Let o(f) = 4*k(f) - q(f). Let w(a) = -2*a**2 + a - 1. Let y(p) = -o(p) - 6*w(p). What is y(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -127, -160, -203, -280?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7680 smaller than -7683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 0 + 2\/9*m**3 + 1\/30*m**5 + 0*m**2 - 1\/6*m**4 - m. Suppose j(s) = 0. Calculate s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 14432*m + 620575. Calculate l(-43).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5899 - 2411. Suppose 8*u + 0*u = l. Round u to the nearest 10.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 191 + -203 - (2 - (2 + 10 + 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(5 + sqrt(1216) + 0 + 1) + 0.\nAnswer: 20 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -3. Let n = s + 3. Let i = 0.012 + n. Round i to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.005, -50, -334\/187 in increasing order.\nAnswer: -50, -334\/187, -0.005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 95225*h + 190470.\nAnswer: -5*(h - 2)*(h + 19047)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 3. Let y = -19 - -24. Let j be d(y). Let u = 14 - j. What is the highest common divisor of u and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -849.86 - -858. Let u = 5.14 - a. Let d = 0 - 0.2. What is the fourth smallest value in u, d, -0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x. Let j be q(-4). Suppose -3*c = w - 8, j - 16 = -4*w - 2*c. Solve 0 = -h + w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, g: 6, m: 2}. What is prob of picking 2 g and 1 b?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -30311?\nAnswer: -30320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 7. What is the common denominator of -1\/6 and (-226)\/84 + k\/(-3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20020 * -0.3\nAnswer: 6006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -x, -73*x + 74*x = -4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, f: 11}. What is prob of picking 1 f and 2 n?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -26*x + 3. Let k(y) = 27*y - 4. Let m(r) = 4*i(r) + 3*k(r). Let g(b) = -9*b. Let h(c) = -5*c. Let j(s) = -4*g(s) + 7*h(s). Calculate m(j(z)).\nAnswer: -23*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 8 + -6 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225143386?\nAnswer: 2, 13, 787, 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -1. Let c(w) = -w**3 - w**2 - 2*w - 1. Let k be c(-1). Let x(n) = -3*n - 8. Determine k*x(j) - 6*s(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 477522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -17*t**2. Suppose b - 2 = -4*o, -2*b - 4*o = b - 6. Let r(k) = -4*k - 2*k + 5*k + b*k. Give l(r(d)).\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 120360\/13 not equal to -526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1267566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 470*q - 803. Is 36 a factor of v(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43643.94 hours in milliseconds?\nAnswer: 157118184000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -2820?\nAnswer: -2822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -1, -2 in descending order.\nAnswer: 6, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 53 and 672\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 45 = 2*i - i, i + 2*c - 29 = 0. Calculate the remainder when i is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.0798\nAnswer: 0.0399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*l = -13, 5*c - 6*l - 28 = -5*l. What is the smallest common multiple of 225\/35 + 3\/(-7) and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 21*c + 88. Give l(-13).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - 2 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-5))\/((-6)\/405). Suppose -20*g - 10 = -90. Suppose g*i - l = i. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 1 - sqrt(432)) + sqrt(363)*2.\nAnswer: 1 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + sqrt(7) + sqrt(252) - sqrt(7) - (sqrt(252) + 1 + sqrt(7))**2) + (sqrt(1008) + -3)**2 + (-2 + sqrt(7) + 2)**2 + sqrt(7).\nAnswer: -79*sqrt(7) + 682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003108 rounded to 7 dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/(-20) + 0\/(-2). Let m be -3403 + -6 - (-2 + i). Let p = m + 5529. Round p to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**5 + 21*q**4 - 198*q**3 - 120*q**2 + 1248*q + 1152 = 0. Calculate q.\nAnswer: -12, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/13)\/g*g*g**(-1)*(g*g*g**0)\/(g**(-1\/5)*g))**(-8\/3) assuming g is positive.\nAnswer: g**(-8\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.11 + -3.31. Let j = f - -4. Is -0.2 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15 + -10 - (-1 + -1). Suppose 0*g = -c*g + 21. Differentiate -2*n + 3*n - n + 1 - g*n**4 with respect to n.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962566498 to the power of 1\/2, to the nearest integer?\nAnswer: 44301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 964.2458 litres?\nAnswer: 964245.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 0) + (-9 - -5) - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5, 16 = -2*g + 8*h - 12*h. Suppose -5*i = -6*i - 1. Let c be (i + 0)*(-11)\/(-11). What is the nearest to c in 1, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -309891*h**2*k**3 - 5865*h**2*k**2 + 5*h*k**3*o**3 - 16*k**2*o**2 - 2*o**3 wrt k?\nAnswer: -1859346*h**2 + 30*h*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1831496464 to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and -0.03?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.772 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 15126.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 20*m**2 - 23*m + 58. Let b be g(3). Solve -161 + b = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 less than 321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1cb (base 15) to base 11.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11552, -11503, -11456, -11411, -11368?\nAnswer: -11327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/((-847)\/22) + (-52)\/14. Sort -5, 2, l in descending order.\nAnswer: 2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -3.99. Let r = -0.09 - v. Let l = 3 - 0. Which is the nearest to -1\/4? (a) l (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 = -34*b + 71*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104 - -1223?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 0*r + 24. Let x(t) = -t**3 + 0 + 2*t**3 + 7*t - 4 - r*t**2 + 2*t**2. Give x(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r + 41*r**2 - 2*r**2 - 6 + 4. What are the prime factors of f(-1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/6*(-3 + 9) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-10))\/((-31)\/8370*-45) + (-196)\/(-22)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-3 - (-1 - 2)). Let x(h) = -2*h + 2. Calculate x(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(130) + sqrt(130) - sqrt(130) - sqrt(130) - sqrt(130))*-4)\/(4*sqrt(360)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -94.538305 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -5b1146?\nAnswer: 5b1149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + sqrt(1331) + 1)*-4)**2.\nAnswer: -9504*sqrt(11) + 192960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-65)\/15*(0 + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4613 divided by -207\nAnswer: -4613\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4463 - 4439 = -3*n + q, 3*q - 111 = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.65517 years to centuries.\nAnswer: 0.3565517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u\/(u*u*u**(4\/15)))*u)\/u)\/(u**(-1\/2)*u))**(-5\/6) assuming u is positive.\nAnswer: u**(-83\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 349175.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -110 - -1d0?\nAnswer: c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c\/(c\/(c*(c**(2\/7)\/c)\/c))))\/c)**(11\/9)*c**4\/c**(2\/17))**(5\/9) assuming c is positive.\nAnswer: c**(10670\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 6*n + 18. Let f be s(2). Let z(m) = -2*m - 4. Calculate z(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -685 (base 13) to base 5.\nAnswer: -13443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - -3*-5*sqrt(156))\/sqrt(4800).\nAnswer: -7*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4361?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**3 - 7. Let x(m) = 2*m**3 - 4. Suppose 2 = h - 2*v, 0 = -7*h + 2*h + 4*v + 16. Suppose 4 = -4*a + a + z, 3*a - 11 = h*z. Give a*k(j) + 5*x(j).\nAnswer: j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 8958.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.57 in -2\/17, 1\/1097, -0.144, -4?\nAnswer: 1\/1097","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220011012 - 0?\nAnswer: 1220011012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*j - 2*j = 7, 3*g - j = 0. Let s = -2 - -2.2. Let h = 157 + -155. What is the closest to g in s, 0.1, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 5:01 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {d: 2, q: 1, k: 1, z: 1, t: 1, r: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4936129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 + 53. Is ((-111)\/6 - 0)*(-3 + w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 2*p - 1. Let f be -4 + 46\/(-2) + (-12)\/(-4). Let x be (-16)\/f - (-1 + (-16)\/(-6)). Let c(b) = b - 1. Calculate x*g(m) + 2*c(m).\nAnswer: -m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 882 - 880 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30567*r**4 - 3*r**3 + 3*r - 5056428 wrt r?\nAnswer: 122268*r**3 - 9*r**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4353*i**4*s - 21*i**4 + 34*i**3*s - 90978811*i**2 - s wrt i?\nAnswer: 104472*i*s - 504*i + 204*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20477?\nAnswer: 20477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(512) - sqrt(32)) + sqrt(32)).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + 4*(-3 + sqrt(99)*2))*-6.\nAnswer: -270 + 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -132, -188, -246?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -85550724 divided by -12221532\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 41 + 66 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 6. Let l be k(0). Let j be (-2)\/(-11) - l\/33. Suppose -5*b - 81 + 426 = j. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 925 = 3*x, -x - 673 + 122 = -3*l. Let q = 190 - l. What is the lowest common multiple of 12 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 4*l**2 - 6*l - 18. Let w be f(-4). Suppose -2*p - d + 3 = 0, 1 = 5*p + 3*d - w. Solve 3*s + 1 = -u, -2*u + p*s + 0*s = 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 1\/17, -1\/3, -2?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1*2*4\/(-40))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31\/2 + -15. What is the second smallest value in -4, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1053) + 2))**2.\nAnswer: 36*sqrt(13) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 939 = -4*l - 10716, -3*q = l + 2925. Let x be (l\/28)\/(-2 - (-6)\/4). Factor -2\/7 - 972\/7*s**3 + x*s**4 - 432\/7*s**2 - 52\/7*s.\nAnswer: 2*(s - 1)*(9*s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5284*j**2 + 1736*j**2 + 1789*j**2 + 7 + 1758*j**2.\nAnswer: -j**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/9)*c*c*c**(1\/5)*(c\/(c\/(c**1\/c))*c*c)**23 assuming c is positive.\nAnswer: c**(2179\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 114972720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(3 + sqrt(192)) - sqrt(192)) + sqrt(192))**2*5.\nAnswer: 2160*sqrt(3) + 9045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13577655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*o - 5*o + 44, -5*o - 53 = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 19*j - 103. Calculate the lowest common multiple of t(10) and 15.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 - 6437*v**2\/3 + 3445392*v + 24222996.\nAnswer: (v - 3222)**2*(v + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*d = 582*d + 311*d + 175*d + 51198 for d.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.3997.\nAnswer: 1.9985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 v when two letters picked without replacement from {v: 12, x: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*o**4 - 7\/2*o**2 - 5\/2*o**3 - 3\/2*o + 0.\nAnswer: -o*(o + 1)**2*(o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171415405 divided by 34283081\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 373727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*m = -36*m + 380. Solve 2 = -h - 5*q + 22, 5*h + m*q = 37 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -3. Calculate the remainder when (6\/z + -2)*-8 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*b - 30, n + 76 - 46 = -5*b. Let c(g) = g + 5. Let i be c(-6). Sort i, 9, n in ascending order.\nAnswer: i, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 4. Let s be u(-7). Suppose 0 = -3*l - s, -3*g - l - 81 = -8*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**3\/3 - r**2\/2 - r. Let u be c(2). Suppose -3*z = -3*b + 6*b - 84, 0 = -5*z + u*b + 100. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64013.6 and -0.5.\nAnswer: 32006.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -11, 2, -93 in ascending order.\nAnswer: -93, -13, -11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/33609 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6401518 rounded to two dps?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*n - 27 = -0*n, 16 = 4*w + 4*n. What is the greatest common divisor of 49 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 23*i + 46. What is y(-20)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a - a**2 + 2 + 4 - 2. Let i be p(-3). Let y = 1 + i. What is the remainder when 31 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 51, 79, 127, 195, 283, 391?\n\"Answer: 10*n**2 - 2*n + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -4 - -6 - (-2 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdddjdjjdz. What is prob of sequence dd?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1355 (b) 0.1 (c) 2\/9 (d) 4 (e) -2 (f) 195\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 - 5*u - 4. Let o be t(-3). Let z = 48 - o. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: c0 (base 16) to base 2\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) - (sqrt(384) + sqrt(384)*-2)*-1)\/(sqrt(12)*-1*-2))**2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-80)*(-12)\/(-18).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -4, -0.2, 233, 6, 4 in descending order.\nAnswer: 233, 6, 4, -0.2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33969, 70487, 107005?\n\"Answer: 36518*k - 2549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 27)\/10 - (-18 - 32\/(-1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6364438 and -85715.\nAnswer: 6278723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -367, -108, 771, 2270, 4389, 7128?\n\"Answer: 310*v**2 - 671*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 10 (b) 1\/5 (c) -10\/9 (d) -0.3 (e) 55\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1684235 is divided by 61.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 319011976 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014779 to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b + 2. Let w be 3*(-4)\/(-12)*-3. Let y be m(w). What is the highest common factor of 42 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*f - 13 = 2*f, -5*f = -5*w - 110. Let o = w + 22. Let k be (-3)\/4*2\/(-3). What is the nearest to k in o, -5, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6629\/68932 + 33\/3628. Factor 0 - x*h**3 - 6\/19*h**2 + 0*h.\nAnswer: -2*h**2*(h + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/3 - (-5)\/15. What is the common denominator of (-18)\/(-22)*y + 0 and 32\/132*-8 + 58\/116?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j - 1323 = -1336 + 1492 for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2635 + 2633. What is the nearest to -1 in 0.2, 3, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 - 3*p**4 + 12*p**4 + ((0*p + 2*p - p)*(-3 + 1 + 4) - 4*p + p - 2*p)*(5*p**3 - 3*p**3 - 3*p**3).\nAnswer: 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 44?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96569716 divided by -1.\nAnswer: 96569716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15\/61 + 288\/427. Put k, -0.5, -0.2, 0.03 in ascending order.\nAnswer: -0.5, -0.2, 0.03, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10615 < -10615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 1 + sqrt(108)*-2*-5 + 3 + sqrt(108) + 1 + -3)*4 + 1)**2.\nAnswer: 2640*sqrt(3) + 209113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r - 2*r)*(r + 2*r - 5*r) + r**2 + 0*r + 0*r - 62*r**2 + 15*r**2 + 24*r**2 - 1 + 1 + 2*r**2 + (-5 + 5 + r)*(-2*r - 4*r + 5*r) + 4 - 4 + r**2.\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 163 + 113. Suppose u = 8*c - 180. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 - 45*g + 50. Let f be v(-16). Factor p**4 + 562*p - f*p**3 + 12*p**2 - 562*p - 3*p**4.\nAnswer: -2*p**2*(p - 2)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 237975 - 105628. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9231.4 + -3?\nAnswer: -9234.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 2336*l + 201912.\nAnswer: 2*(l - 1074)*(l - 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2855 + 2841.81. Let t = 13.2431 + l. What is t rounded to 3 decimal places?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 69?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 - 24 + c**2 - 5*c - 23 to the form l + z*c + x*c**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 9:25 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) - 55\/(-21)*-2. Let k = 323\/63 + p. What is the nearest to 2\/7 in 0.4, -0.1, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/4 - 6)*-2. Suppose d*a + 385 - 61 = 0. Let y = a + 89. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17108 divided by -4277?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*b - 2*b - 3*d, b - 5*d = -6. Suppose 0 = -2*z - n - n - 10, 5*z + b*n + 21 = 0. Do -1 and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/160*24\/(-28).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 16*n = 88. Suppose n*m - 5*q = 1072000, 5*m + 13*q = 11*q + 1340000. What is m rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (-5 - -15) + 21 + (-6 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 30, 0.1, -44, 3\/4 in descending order.\nAnswer: 30, 6, 3\/4, 0.1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48646351 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(126)\/sqrt(2) + (sqrt(756)*-1)\/sqrt(12))\/(-1*sqrt(1089)*-2).\nAnswer: -7*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 1. Suppose 4*z + 200 = 14*z. Suppose -z = 21*t - 17*t. Give p(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -29. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, 11, 5 in ascending order.\nAnswer: 0.3, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 47, -15, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5574 and 4.\nAnswer: 22296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -83980 divided by -52?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u**2 + 13*u + 181. What is the thousands digit of w(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57*(-30)\/72)\/(70\/56)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2395 - 5529*x - 2395.\nAnswer: -5529*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619 is divided by 78.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 6*l - 9*h + 107 - 56, 0 = -l + 2*h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -429 - -433. Let s be ((-4)\/(-30))\/(3\/15). What is the nearest to u in 2, -2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, 0.01, -10023 in descending order.\nAnswer: 7, 1, 0.01, -10023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1102500 - -15155?\nAnswer: 1122055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 5*y + 5*t - 4, -19 = y + 4*t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 515.7693 nanometers in micrometers?\nAnswer: 0.5157693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -36. Let u be 24\/m*(-1)\/(-2). Solve u*f + g - 6 = 0, 3*g = -g - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 6:30 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-92)*(-1)\/(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 954\/(-45) + (-8)\/10. What is the remainder when 121 is divided by (1 - 2)\/(t\/902)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1208, -4\/5 in descending order.\nAnswer: 0.1208, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(-4 + 2 + 5)*(4*j - 4*j - 3*j) - 6 - 14*j + 28 - 16.\nAnswer: 4*j + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*m - 20*m - 28*m - 33*m to the form w*m + c and give w.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6*4\/(-24))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s = 4*y, -2*y = -5*s + 3. Suppose -3*w + 10 = s. Factor -58*j**w - 5 + 2*j**2 + j + 57*j**3 + 3.\nAnswer: -(j - 2)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76468 + 36704659\/480. Find the common denominator of 149\/48 and m.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1057 or 1055?\nAnswer: 1057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 679320757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/5))**(1\/24)*(c\/((c*c**(-8))\/c)*c)\/(c\/(c\/((c*c*c*c**(-5))\/c)))*((c**(-3\/5)\/c)\/c**(-10))**(3\/41) assuming c is positive.\nAnswer: c**(66943\/4920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) -5 (c) 2\/15 (d) -2.44 (e) -75\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43571, 35012, 20755, 806, -24829, -56144, -93133?\nAnswer: -135790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 8*g**2 - 2 - 5*g**2 - 1893*g**3 - g**2 - 6 to the form u*g**2 + i + n*g**3 + l*g and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y + 7. Let s(q) = 2*q - 7. Let w(t) = -5*m(t) - 6*s(t). Is w(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1812276402 divided by -6\nAnswer: 302046067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 22595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 296*p - 292. Let f be v(1). Let s(l) = 9*l - 6. Let c(a) = 19*a - 12. Let q(r) = -2*c(r) + 5*s(r). Give q(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 73 + 7 = -3*x, -x + 5*y + 16 = 0. Calculate the smallest common multiple of 7 and 75\/x + 3\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 3. Let o be n(1). Suppose o*b + 4 = 4*b. Suppose 5*q - b*x = 105 + 89, -4*x = 3*q - 132. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134 + 112 + o**2 + 17 - 6.\nAnswer: o**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2589 + -2583. What is the remainder when 51 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 29455*u - 29460*u - 20 = 0, -n = 2*u + 3 + 3 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(198) + sqrt(198) - sqrt(176)\/(sqrt(8)*-4))\/(sqrt(288) + (-2*sqrt(288) - sqrt(288)) + sqrt(242)*3) + 5.\nAnswer: 5 + 61*sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.301 + 0.301. What is the nearest to p in -5, 0.5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(567) + sqrt(567) + -1 + sqrt(567) + 0)*-3 + (((sqrt(567) - (-1 + sqrt(567))) + sqrt(567))*3 + -4)*3)**2.\nAnswer: -1944*sqrt(7) + 183744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 - 56996*p**3 - 405782922*p**2 + 4062104920*p - 10158825800.\nAnswer: -2*(p - 5)**2*(p + 14254)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 34161.87 milliseconds in nanoseconds?\nAnswer: 34161870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33190 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3267 = 5*k + w - 3252, 5*k + 4*w + 15 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12 - (-3 - -5))\/(108\/12 - 11). Let m = 1 - -1. Let c(q) = -3*q**m - 1 - 3 + 2 + 4*q. Let d(v) = -7*v**2 + 9*v - 4. Give b*c(j) + 2*d(j).\nAnswer: j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1062*u + 353*u + 351*u + 366*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 155 = 3*s. What is c in -15*c**3 - 12*c**3 - s*c**4 - 1 - 6*c**2 - 18*c**5 + 1 = 0?\nAnswer: -1, -2\/3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 5)*(p + 2*p - 4*p)*(-3413 + 6431 - 3502).\nAnswer: -484*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1485 - 1485 - 1638*m.\nAnswer: -1638*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minus 1.381803?\nAnswer: 685.618197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*u - 3*r = -2, -3*r = 0. Let b be 89 - 25 - (u - 2\/(-1)). Let d = b + -58. Solve 0 = 5*z + 15, -d*t = t + 5*z - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 19 = 1. Which is smaller: -1\/63 or p?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/189)\/((-2)\/(-18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1253423970?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-2)\/sqrt(6) + sqrt(19))**2 - (-3 + sqrt(76)\/sqrt(4)) - (sqrt(931) - -5*(sqrt(931) + 1))**2.\nAnswer: -33519 - 421*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3.5 times 870017\nAnswer: 3045059.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5 + -1)\/(30\/100) - 12.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 272 + 3034. Suppose 5*m - h = 2*m. Round m to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10202122110 (base 3) in base 16?\nAnswer: 12174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -3) + (56 - 57 - (0 + 12))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10348360 by 1.\nAnswer: -10348360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aah when three letters picked without replacement from {w: 9, p: 2, a: 2, h: 6}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = 98*t - 102*t. Let z = 91 + t. Let p(u) = 3*u - 6. What is p(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 divided by -567?\nAnswer: 13\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -174 + 179. Solve -k*b - 34 + 14 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33 and -16272.\nAnswer: 536976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -9 + 0 - (-2 - -14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 11:48 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5179 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 2:55 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 300 (b) -1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60795 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -647*z**7\/7 - z**5\/5 - 8*z**3\/3 - 7*z**2 + 630. What is the third derivative of m(b) wrt b?\nAnswer: -77640*b**3 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 12*b**2 + 2*b - 1. Let j be a(-5). Suppose 112 = -3*q + j. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -142 greater than -8316\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -366209*v - 4. Let k(w) = 2*w**2. Determine u(k(r)).\nAnswer: -732418*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/(-36)*30\/192\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -13 - ((-12 - -32) + -8)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.036 - 106747857714.\nAnswer: -106747857713.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130 + 124.06. Let i = f + 43.84. Round i to the nearest integer.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*k + 296*k = 28 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ilooobioqiotb. Give prob of picking 1 t, 1 q, and 1 b.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)\/(sqrt(9) + (-3*sqrt(9) - sqrt(9)) - sqrt(9)) + 0 + sqrt(1377))*-3)**2 + 3*((4*sqrt(204)*1)\/sqrt(12))**2*-5.\nAnswer: 122145\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (49 - 32) + -32 + 41 + 1 + 7?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmx when three letters picked without replacement from {m: 2, i: 2, f: 1, w: 1, h: 1, x: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -1 + -16 + 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z - 1. Let w be a(-1). Let x(f) = 3*f**2 - f. Let s = -51 + 50. Let d be x(s). Are w and d equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30165337 to the power of 1\/2, to the nearest integer?\nAnswer: 5492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - -1 - 3)\/(13\/1). Which is the closest to 1? (a) 0 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 5)*(-2 + 3 - 2)*(91 + 27*f - 91 + 2*f**2) in the form r*f + l + u*f**2 and give r.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - w - 1. Suppose 42 = -5*u - 88. Let b be u\/(-5) + 6\/(-30). Let h(j) = 7 + j - 1 + j**3 - b. Give -h(o) - l(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12062729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.947928cm to meters.\nAnswer: 0.01947928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -17*t + 31090. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 11:28 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 483 - 936. Let t = 437 + a. Put 2, -4, t in ascending order.\nAnswer: t, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1640 = -783 + 263. Calculate the smallest common multiple of 216 and a.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 8 = -3*o, 3*x - 27*o + 23*o = -14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46695816511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + 121. Let y = -141.91 + p. Sort y, -4, -0.01 in decreasing order.\nAnswer: y, -0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -r - 3*b, 0 = -4*r - 0*b + 2*b - 92. Let s = r + 45. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8702725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1105*y**2 + 302*y**3 - 548*y**2 + 2*y - 555*y**2 - 3 - 4*y + 1 as u*y + g + r*y**2 + z*y**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298 + 469*o**2 - 152*o**2 + 44 - o - 149*o**2 - 150*o**2.\nAnswer: 18*o**2 - o + 342","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22000 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1930998 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + sqrt(275) + sqrt(11) + -4 + -2.\nAnswer: -12 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1752, -3505, -5258, -7011, -8764, -10517?\n\"Answer: -1753*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwcccvccvccwccc. What is prob of picking 1 v and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -438352*6.8\nAnswer: -2980793.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a + 3. Let f(v) be the second derivative of -1\/3*v**3 - 1\/2*v**2 + 0 - v. Give 11*f(t) + 4*o(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p - 1. Let k(u) = -16*u - 5. Suppose -d = -3*d + 2. Let f = d + -1. Suppose f*b - 16 = -4*b. Determine b*k(z) - 22*q(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -0.1, 0.2, 2, -94?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*j*q**2*w - 12*j*q**2 + j*q*w + 55821*j*q + 5*q**3 + 22*q**2 - 24*w wrt q?\nAnswer: -12*j*w - 24*j + 30*q + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1035 and 34845?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**2 - 6*t + 6. Let g(a) = a**2 + a - 1. Let k be 2\/((-4)\/26) - (-6 + 4). What is k*g(x) - 2*o(x)?\nAnswer: -x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 1254.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3305 divide 516913322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447*d - 3*i - 24243 = -450*d, -5*i - 16186 = -2*d. What is the highest common divisor of d and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 = 2. Let l be -1 - -3 - 6\/f. Suppose 3*z - 2 = 4. Solve -d + 2*a = -2, d - a - l = z*a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, x: 2, w: 12, q: 2, y: 1}. Give prob of picking 1 x and 3 w.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yaww when four letters picked without replacement from {w: 6, y: 1, a: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*k + 37 - 166*k + 725*k.\nAnswer: 597*k + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**4\/12 - 4*z**3\/3 + 15*z**2\/2 + 8*z. What is the remainder when 27 is divided by u(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + q = 4*y + 347, -4*y + y + 5*q - 78201 + 78467 = 0 for y.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(34)\/(sqrt(2)*-2*5))**2*-3.\nAnswer: 349\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*f + 8*f + 0*f = 4750 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -50043 (base 10) in base 5?\nAnswer: -3100133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 7. Let k(g) be the first derivative of -g**2 + 2*g - 599. Let y(b) = -1. Give z*y(s) + k(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 8*k + 4*k + k - 11*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**3\/3 + 17*p**2\/2 - 88*p. Calculate the remainder when 86 is divided by l(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17568 - 12122. Suppose -8*h - 2*p + 27191 = -3*h, h + 3*p = f. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - u**2)*(-1423*u - 30*u**2 + 2860*u + 12 - 1437*u).\nAnswer: 30*u**4 - 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1249 - 361 - 314*b + 312*b.\nAnswer: -2*b - 1610","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + 32. Let l(y) = 4*y**2 + 19*y - 3. Calculate the remainder when n is divided by l(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-10))\/((-9)\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -9 - -2) + (-3432)\/(-507).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 15) to base 10.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 450474675 + 0.34219?\nAnswer: 450474675.34219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49 - -15?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 60774 = -3*h, -18*j + 17*j - 4*h = -20273. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4495, 8949, 13339, 17671, 21951, 26185, 30379, 34539?\nAnswer: 38671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 141 - q + 0*q - 278 + 179. Determine i(32).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/3 - 2*o**2 + 20*o\/3.\nAnswer: -2*o*(o - 2)*(o + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 3*d. Give c(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (3*sqrt(304))**2)*-4 + sqrt(304) - (4 + sqrt(304))*-6.\nAnswer: 12*sqrt(19) + 10968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 6*o + o)*(2 + 3*o + 2 - 3).\nAnswer: -6*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/15 and 7\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 606318, 606335, 606380, 606465, 606602, 606803, 607080, 607445?\n\"Answer: 2*g**3 + 2*g**2 - 3*g + 606317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/((-12)\/(-168))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 2*b - 4*b)*((-2*b - 2*b + 3*b)*(-1 + 1 + 2*b) - 3*b**2 - 6*b**2 + b**2)*(b - 3*b + 3*b).\nAnswer: -10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 5*b**2 + b - 2. Let z(s) = -3*s**2 - 12*s - 34. Let m be z(-10). Let o = 211 + m. Determine v(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddp when three letters picked without replacement from ppdpdddddppdd?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4927 = i, -4*p + 13 - 1 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4333\/6 - 722. What is the third smallest value in -2\/3, -2\/35, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3707 - 0.3007. What is the smallest value in 191, -0.5, k, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1059 + 140. Let o = k + -1092.8. What is o rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2452 + 2696. Solve -247*i + d*i = 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8\/91, 0.4, 4, -58\/13?\nAnswer: -58\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169780228 to the power of 1\/3, to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/3284 and -19\/40?\nAnswer: 32840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1321564 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**4\/9 + 6772*c**3\/9 - 1135444*c**2\/9 + 1849604*c\/3 - 734440 = 0. Calculate c.\nAnswer: 2, 3, 183, 1505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -106, -421 = 60094*v - 60091*v + 8*g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24543702?\nAnswer: 2, 3, 454513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 + 12*d - 9*d - 3*d.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 414 divide 120906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 80\/18 - 144\/324. Let r(a) be the first derivative of 7 + 6*a**4 + x*a + 32\/3*a**3 - 36\/5*a**5 - 12*a**2. Suppose r(l) = 0. Calculate l.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18969 + -6620. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -2, 1, -3, 3642 in increasing order.\nAnswer: -5, -3, -2, 1, 4, 3642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/8 - ((-267)\/24 + 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/(b**(-2)\/b)*b*b*b**(2\/9)*b*b*b*(b**(-1\/3)\/b)\/b*b\/b**3*(b**6*b**(-4)\/b)**(-45) assuming b is positive.\nAnswer: b**(-352\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1092988*i**3*t - i**2*t - 83*i**2 + 3*i*t - 72*i wrt i.\nAnswer: 6557928*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**5\/20 + 5*q**4\/4 - 11*q**3\/3 + 17*q**2\/2 - 4*q. Suppose -5*s - 3*n = 71, 23 = -13*s + 11*s - 3*n. Is i(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*(-1*(sqrt(135) - (sqrt(135) - sqrt(135)*-3 - sqrt(135))))\/(6*(sqrt(3) - sqrt(48))).\nAnswer: -2*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*z**2 - z**3 + 1 - 2*z**3 - 5*z**2 - 6 + 18*z**2 + z as c*z + f + q*z**2 + w*z**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - (-344)\/88 - (-4)\/44. Solve 44 = 11*j - s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 33518116, 67036232, 100554348, 134072464, 167590580, 201108696?\n\"Answer: 33518116*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328*x + 334*x = 1002. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.5603396 and 0.2.\nAnswer: -0.71206792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 35913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-667*c**3 - 302*c**3 + 303*c**3)*(-9*c + 14*c - 5*c - 2*c**2).\nAnswer: 1332*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 297427 * 0.2\nAnswer: 59485.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -10*r**2 + 1 - r**3 + 11 - 17 + r**2 - 6*r. Calculate g(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1486, 3381, 8508, 18481, 34914?\nAnswer: 59421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37528184 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 334.9507871 + -58.\nAnswer: 276.9507871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 53530 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**2 - 11*q + 17. Let f(k) = -k**2 + 5*k + 2. Let p be f(4). Let z be 3 + -4 - (2 - -31). Let a(x) = -x**2 - 2*x + 3. What is p*u(s) + z*a(s)?\nAnswer: -2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) 5 (b) -0.01 (c) 2 (d) 4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 16*w**2 - 24*w - 31. Let a be d(-15). Let r = a - 104. Solve r = q - 0 - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 351, 11, -3 in decreasing order.\nAnswer: 351, 11, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -2.7 (b) -2\/15 (c) 2 (d) -150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 - 22*c + 60. What is i(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 385280 and 32?\nAnswer: 385280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3807*h + 66477 + 120706 = -102149 for h.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*w + 5*l = 25, 5*w + 4*l - 11 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, k: 1}. Give prob of picking 2 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4835602.\nAnswer: 2, 2417801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**3 - 68*s**2 - 279*s - 39. Determine h(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + -3*(sqrt(171)*2 - sqrt(171)) + sqrt(171) - (6*(-1*sqrt(171) + sqrt(171)) - sqrt(171)))\/(sqrt(1089) - (5*1*sqrt(1089) + sqrt(1089))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2. Suppose 3*b + 4*z - 2 = 6*b, 4 = 5*b - 3*z. Let r(k) = -3 + b + 1 + 3*k**2. Determine g(r(s)).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -702 less than -2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 2 + -9 + 2. Let a(b) = -24*b - 3. Let g(t) = -47*t - 5. Let o(d) = v*g(d) + 5*a(d). Let r(m) = 3*m. Give r(o(i)).\nAnswer: 63*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5184, 6474, 7764, 9054?\n\"Answer: 1290*s + 3894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 + 98. Suppose -8*w = 4*j - 6*w - 24, -3*w - 9 = -3*j. Solve h - 17 = -3*r, j*r = -6*h + l*h + 33 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18*4\/(-7)*35\/30 - (-720)\/160\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100959*s**4 + 162484*s?\nAnswer: 1211508*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4643*m = -4646*m - 36 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (100\/(-30) + 8)\/((-2)\/(-3)). Solve 30 = -y*x + 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m**(7\/4))\/m)\/(m\/(m\/m**(-7))))\/(m\/(m**5*m)*m*(m*(m\/m**(-4\/9))\/m*m)\/m) assuming m is positive.\nAnswer: m**(443\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 7.6. Let o = -3.4 + q. Let s = 1 - o. Which is the second smallest value? (a) -4 (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -12850*d + 854. List the prime factors of j(-3).\nAnswer: 2, 9851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29555.\nAnswer: 5, 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w. Let u(h) = -h + 1. Let t(o) = 3*g(o) + u(o). Let m be ((-9)\/(-3))\/(3\/10). Let y = 8 - m. What is t(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 12 + 28 + 98*b**3 - 9.\nAnswer: 98*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31311 (base 5) to base 6\nAnswer: -13345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -171907111 != -171907104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -60315 (base 7) in base 5?\nAnswer: -431230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((32\/(-18))\/8)\/1.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10065.5792225 - 197.\nAnswer: -10262.5792225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3*20\/(-90)*1\/((-4)\/(-72))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j + 30*j - 516 = -2*u, -186 = -2*j - 2*u - 60 for j.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + x - 20. What is the tens digit of q(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 724 and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -993 - -14902\/15. Let o = -17081\/9 + 1892. Find the common denominator of a and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 0, -3, 3 in descending order.\nAnswer: 3, 2, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2207 - 1553. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/260)\/(2\/(-4))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1212 = 5*r + 4*q, -4*r + 3*r = -4*q + 228. Let p be 1\/(2\/r) + 1. Let v = -69 - p. Is 25 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-1\/9)*y**(-8))**(-1\/13)*(y\/(y*y\/y**(-1)))**(-11\/6)*((y**2*y)\/y)\/(y*y\/y**(8\/7)) assuming y is positive.\nAnswer: y**(4324\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 19*d + 438. Calculate the remainder when q(13) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*1 - (-3 + 6). Suppose -s*j + j + 90 = 0. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10274 is divided by 137?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170544 = 1203*h - 926*h + 1661*h for h.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (21\/6)\/(4\/136) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m - 11*m**3 + m + 6*m)*(5 - 5 + 4) in the form s*m**2 + g*m**3 + c + x*m and give g.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21128743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.53 - -19.93. Let w = 19 - i. What is the nearest to 2\/5 in 3\/4, 0, w?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/7 (b) -0.2510834 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0172865228 to five dps.\nAnswer: -0.01729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-38)\/5 - (-10)\/(-25). Let k(i) = 2*i + 38. Let l(z) = z + 13. Let j(r) = 3*k(r) - 8*l(r). What is the remainder when j(h) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -1) + 107 + -106 + 1 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - k**3 + 5*k**4 - 1 + 61*k + 9*k**2 - 60*k + 3 to s + l*k**3 + p*k**2 + w*k**4 + d*k and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 39 = -57*s - 299 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 16) to base 12.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (0 - (0 - -9)). Suppose 0 = 3*d - d - 198. What is the highest common divisor of d and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.049 + -1637282.\nAnswer: -1637281.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 58*u + 127. Determine z(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2184)\/208*32\/(-24).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4445.67404 and 0.04888.\nAnswer: -4445.62516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (105008\/59067)\/((-1)\/(-3))?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -31\/3. Let y(i) be the second derivative of -1\/2*i**2 - 1\/12*i**4 + 0 - d*i**3 - 2*i. Solve y(o) = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2\/2 + 10105*m + 60675\/2.\nAnswer: -5*(m - 4045)*(m + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/7)\/s*s)\/s)\/s)\/s**(-5)*s*s**7*s**(-2\/5) assuming s is positive.\nAnswer: s**(361\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*l = -354*l - 598 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-3))\/(4\/(-12)). Solve -4 = -u*f + 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 + 47.00052. What is d rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t*t**(-26)*t))*t*t**17*t)\/((t*t*t*t\/(t*(t**(-19\/5)\/t)\/t))\/(t**7\/t*t)) assuming t is positive.\nAnswer: t**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 3*h - 6. Is w(5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 386*j. Let w(n) = -9*n + 17. Give c(w(z)).\nAnswer: -3474*z + 6562","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((39 - 37584\/960)*(-8)\/(-6)) + -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -168 + 175. Suppose -g*h = -178 - 137. Calculate the highest common factor of 120 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*t - 6981, -27*t + 22*t + 6979 = -2*f. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1195986 or 1195987?\nAnswer: 1195986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13393773 by -51.\nAnswer: -262623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 892\/3 >= 298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -184 in 0, -2\/9, -0.5, -0.04?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001000101000101111 (base 2) in base 4?\nAnswer: 3020220233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atha when four letters picked without replacement from tmaahm?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -365 - -621. Is 32 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*p - 5*w = 61*p - 21, p + 3 = -w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b - 5 + 2*b + 0*b**2 - 9*b + 6*b**3 + b**2. What are the prime factors of u(2)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 11 - 41. Let s = q - 14. Let b(t) = -4*t**3 + 4*t**2 - 3*t. Let a(m) = m**3 - m**2 + m. Give s*b(j) - 3*a(j).\nAnswer: j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/360*25*2\/10. Suppose 5*u = -4 - 16. Sort l, 1\/3, -2, u in descending order.\nAnswer: 1\/3, l, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 756 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + (-5 - -5) + (-7 - (26 + -15) - -21).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 15.11. Let d = -3.61 - t. Let o = d + 3.4999895. What is o rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -0.4, -39 in descending order.\nAnswer: -0.4, -0.9, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by -14523?\nAnswer: -28\/4841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*k + 63*k - 782 = 1213. Solve -5*g - 11 = j - 18, 5*g + 5*j = k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13521*b**2*d**3*w - 4*b**2*d**2*w + b**2*d*w - 119*b**2*w - 6*b**2 + 62*b*d**3*w + b*d**2*w - 2*b*d - d**3 + 32*w wrt d?\nAnswer: 81126*b**2*w + 372*b*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 14*j + 60*j**2 - 59*j**2 + 0*j + 19. Give d(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 - 0.14. Let r be (-85)\/120 + 1\/3. Which is the biggest value? (a) 5 (b) r (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13666427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 28*c**2 - 4*c - 3. Let n be h(-2). Suppose -2 = g, -4*z + 2*g + n = 41. Calculate the remainder when 50 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.45 - -0.5. Let f = j + -0.052. What is f rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 3*f**2 + f + 2. Let o be p(-3). Let x = o + 8. Let q = 0 + x. Calculate the remainder when 20 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 386032 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 8*y - 360 = 0. Suppose y*v - 112*v - 24 = 0. Solve -2*i = 3*g + 4, 5*g - v*i - 2*i = 35 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -226 - -229. Is -4 - w\/6*-11482 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16413 - 8978. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61.4203 - -0.0203. Let l = v - -61. What is the nearest to 2\/7 in -2, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4418\/16661?\nAnswer: -4418\/16661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1\/1)*(-16)\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -258, -510, -746, -960, -1146, -1298, -1410?\n\"Answer: k**3 + 2*k**2 - 265*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 50 = -2*x. Let p = -3 + 7. Suppose 0*i + p*w - 8 = i, 0 = 2*i - 4*w + 16. Do x and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1221000 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/12 + (-47)\/(-4). Let a be -6 + (5 - 2) + (1 - -86). Calculate the highest common factor of u and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158999 is divided by 1683?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 26 = -5*c, r - 38 = -5*c - r. Let a(j) = j**3 - 5*j**2 - 6*j + 3. Let m be a(c). Solve -d + 20 = m*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -218.69?\nAnswer: 221.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 12*p**2 - 8*p - 11. Is w(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 379586996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q. Suppose 4*w + 6 - 2 = 0. Let k(j) = 1 - 1 - 4*j. Calculate w*k(x) + 3*b(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360 and 714420.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -88474689 and -0.1.\nAnswer: -88474689.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**5\/30 - c**4\/6 - 5*c**3\/2 - 400*c**2. Give k(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c = -34*c + j + 27, -2*c + 63 = j. Solve 5*d + c = -5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-15) + (-48)\/(-5). Suppose -2*i - s = -2*l, -3*l + 15 = -0*i + 3*i. Solve 3*r - 9 = -i*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, -686 in descending order.\nAnswer: 3, -12, -686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 553991266*j**2. Let p(l) = -2*l**2. Determine p(d(g)).\nAnswer: -613812645608565512*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -7*b**4\/4 + 27*b**2\/2 + 6*b. What is the first derivative of y(k) wrt k?\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*z - 6*z + 9*z + (-6 + 0 + 4)*(1 + z - 1) - 3*z + 0*z + z - 1 + 4 + 28*z - 27*z as c*z + l and give c.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4667 and 5093851.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -41*a + 248. Let j be n(6). Find the first derivative of -141 - 5 - j*o - 3*o - 2*o wrt o.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 4*m + 3*m)*(194 + 1061 - 544).\nAnswer: -711*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times -231.18\nAnswer: 20.8062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = 2*f - 3*f, 5*f - 10 = 0. Let k(t) = 17*t - h*t + 0*t + 1. Is 2 a factor of k(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -260*c - 258. What is the hundreds digit of b(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 + 32. Let r be (-12)\/9*q\/2. Let l = -20 + r. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h**5 - 110*h**4 - 15*h**3 + 110*h**2 + 40*h = 0.\nAnswer: -4, -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*x - 38, -k = -4*x - 8. List the prime factors of (327\/k)\/((-9)\/216).\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -150 + 290. Suppose z = n + 3*z - 14, c = 5*n - 4*z. Let t = n + -8. Solve -5*x + 3*r + t = 4, -9 = -2*x - 3*r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.489831 take away 1817?\nAnswer: -1821.489831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 + -36. Let o be (-3 - (0 - -1))\/(18\/c). Let x(y) = 4 - 2 + y - 3. What is x(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4)*k)\/k*k*k*k\/k**(2\/13)*k)**(-26) assuming k is positive.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15544653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 2*t**2 + 5*t - 3. Suppose -7 = 5*a - 5*r + 3, 4*a = -r + 7. Let z be 1 + a + -4 + -2 + 7. Determine i(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 15) to base 2\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 1 + 8. Suppose 3*q = 2*x - 2*q - 85, -s*x = q - 136. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -773*c + 1518*c + 18*c**2 - 743*c.\nAnswer: 18*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54614 and 29797.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50777431.\nAnswer: 37, 1372363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 152 + j**2 + 10*j + 160 - 292. Calculate f(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 55. Let p be g(-7). Suppose 3*z = 3*x + p, 5*z - 4 = z + 2*x. Which is greater: 3 or z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h - 8. Let w(v) = v - 7. Let y(d) = 3*m(d) - 2*w(d). Let i = -4 + 11. Is y(i) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 4)\/(70\/28)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 620 and 2156?\nAnswer: 334180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 32?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + 0 - (-3 - -11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22197 by 775.\nAnswer: 22197\/775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -959 + 2789. Let n = t - 36591\/20. Find the common denominator of -65\/22 and n.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6313)\/(-177) - 12 - 18?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + 1)*12\/14. Suppose -4*k = -r - 10. Suppose 0 = 3*i - k*i + 9. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1312\/4920)\/((-8)\/18)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8784 is divided by 8747?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -205.4 in 1, 2\/19, -5, -9\/22, -0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 62 - 22*v.\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 17184984\nAnswer: 68739936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 33*i**2 + 115*i - 2554. What is y(-20)?\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2. Let l(a) = -724*a**2. Calculate l(t(o)).\nAnswer: -724*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + -2 - (121 + -92)) + 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2 and -1\/83.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**5\/9 - 4*b**3 + 64*b**2\/9 - 10*b\/3 = 0.\nAnswer: -5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 943690 a multiple of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.36218 micrometers to nanometers.\nAnswer: 91362.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 10*t**2 - 5*t - 60. Let q be r(9). Does 5 divide ((-112)\/(-21))\/((-2)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17014?\nAnswer: 2, 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/(l*l**3*l*l))**(-2\/29) assuming l is positive.\nAnswer: l**(24\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2220012 (base 3) to base 5.\nAnswer: 31421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 180 + -177. Which is the nearest to 1\/2? (a) 2 (b) f (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 16. Suppose -3*m = 3074 - 638. Let w be m\/70 - (-4)\/(-10). Let p be l(w). Solve -v - 5*u = -3*v - 12, -2*v - p*u + 24 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 46 = 37. Let d(g) be the third derivative of 0*g + 0 + 5\/8*g**4 + 5\/3*g**b - 4*g**2. What is the derivative of d(v) wrt v?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155 - 107. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 + 4*w - 2 + 0 - 5*w + 1 as h*w**2 + r + a*w + j*w**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 52*s + 148. What is the remainder when 178 is divided by w(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - u**2 + u**2)*(11*u + 0*u - u + (0*u + u - 2*u)*(-1 + 6 - 3)) + (0*u**3 + 2*u**3 - 3*u**3)*(-4 + 3 - 1).\nAnswer: 26*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.5, -1, -1\/3, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -1010887514438.\nAnswer: 1010887514438.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 20 = 5*g - 0*g, 3*g - 5*k = -20. Find l such that -l + l**3 + g*l + l**2 - 4 + 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22642 (base 7) in base 3?\nAnswer: 21222021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (342\/(-304))\/((-1)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 t when four letters picked without replacement from tdmsddtdgust.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111851 is divided by 5591.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*o + 21*o - 31 + 11*o.\nAnswer: 8*o - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.481 - 0.281. Are 112 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 142 = -33. Suppose 4*h + 4*x - 188 = -h, -2*h = -5*x - 95. Suppose 4 - h = -4*y. Calculate the remainder when w is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-9)\/8)*26\/(-104).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5609041843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*((-5 + sqrt(200)*-2)**2 + (sqrt(200) + 1 + 0 - sqrt(200))) - (-2*((sqrt(200) + 1 + sqrt(200) + sqrt(200))**2 + 4) + 2)).\nAnswer: 520*sqrt(2) + 5260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/2 + 8 + -1. Suppose -3*j + g = -5. Let h = 8 - j. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*n + 28 = 0, 0*n - 6 = -4*r + 5*n. Suppose 4*p - g + r*g - 184 = 0, -5*p + 261 = -4*g. Suppose p = 4*v - 35. Solve -3*z = -v + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.7 and -14.1.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 3556729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (65\/260)\/((-5)\/2732). Is q at least as big as -137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/9 - 5\/45. Let r(d) = -3*d - 20. Let h be r(-8). Let f be 3\/(3 - (h + 0)). What is the second biggest value in s, f, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 1. Let b = 5 - o. Suppose 4*x - 4*c - 6 = c, -x - b = 4*c. Put x, 0, 5 in descending order.\nAnswer: 5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2017609030?\nAnswer: 2, 5, 1499, 134597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 10, 10, 8, 4?\n\"Answer: -j**2 + 5*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6408638017?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 0.2, -2\/71, -109, -3, 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1984, -56, 92 in increasing order.\nAnswer: -56, 92, 1984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 27059791 divided by 4\nAnswer: 27059791\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 2 - 3)*(1 + 2 + 0) - 1 + 4 - 1)*(-1 - 2*y + 1).\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from ipnzf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007744281 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeee. Give prob of picking 2 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from zzaaazadqqananqqnza.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-9)*108\/(-8). What is the tens digit of (-6)\/l + (1120\/6 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {k: 7, h: 7, f: 2, o: 3}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 - 3 + 0*h**2 + 0*h**2 - h**4 - 5*h + 4*h as x*h**2 + i*h**3 + c*h**4 + b + k*h and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, 54, 124, 230, 378, 574?\n\"Answer: k**3 + 9*k**2 + 6*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -152155849.23.\nAnswer: -152155849.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1225782944 by -4.\nAnswer: 306445736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -646829, -646824, -646815, -646802, -646785?\nAnswer: -646764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*d + 119 = -74*d. Solve -2*n = -d*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlo when three letters picked without replacement from {a: 1, l: 1, i: 3, o: 2, n: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**6\/15 + 7*d**5\/90 + d**4\/36 - 3*d**2\/2 + 40*d. Let i(y) be the first derivative of s(y). Factor i(o).\nAnswer: 2*o*(3*o + 1)*(4*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1560 and 19890?\nAnswer: 79560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.6 + 0.6. Let l = b + 6. Put -0.3, -0.06, l in increasing order.\nAnswer: l, -0.3, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4420663?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4. Suppose w = 2*b - 4. Find s such that -1\/5*s**3 + 0*s + 1\/5*s**b + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -1.8, -11 in ascending order.\nAnswer: -11, -4, -1.8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Suppose a - z = -a. Let c(y) = 18*y**3 - 2*y**2 + 1. What is the tens digit of c(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/o**(2\/5)))**(-21)\/(o\/o**1*o\/(o\/(o**(3\/7)\/o)))*((o*o**6)\/o)\/(o*o**(-6\/5))*(o**(-1\/2))**25 assuming o is positive.\nAnswer: o**(-2459\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15394 and 511528?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 47, 3, 4, 0 in decreasing order.\nAnswer: 47, 8, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -25696260 rounded to the nearest 100000?\nAnswer: -25700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3984.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r + 0 - 2 + r - 17 - r + 17 + (-1 - 3 + 6)*(0*r - 2*r + 3*r).\nAnswer: 6*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84942 and 188406.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h - 2*z + 81 = 0, 336 = 4*h + 5*z. List the prime factors of h.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -484 + 1?\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 20*b**2 + 2*b - 2. Suppose -3*c = 5*j + 28, 2*j + 17*c - 14 = 20*c. Let m(n) = 79*n**2 + 9*n - 9. Determine j*m(z) + 9*k(z).\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -2185 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.541 + 0.059. Let o = 6 - s. Let c = 3 - 4. What is the second biggest value in o, c, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 10:54 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268157 is divided by 1302.\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -140?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*g. Let z = 7 - 4. Suppose -z*a = -g*a. Solve a*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 161208.9 to the nearest one thousand.\nAnswer: 161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7774522?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26449 - 209. Is b a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1776\/30 + 5 + (2300\/(-125))\/(-23).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 1339.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0.1. Let d(s) = -6*s - 2. Let v(x) = -4*x - 1. Let m(y) = -5*d(y) + 8*v(y). Let l be m(3). What is the third smallest value in t, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 105102 - -134?\nAnswer: 105240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2128 = -6*r + 139*r. Let t(y) = 4*y + 44. What is t(r)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4d4e - -2258?\nAnswer: -2af6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 7 + 3. Calculate the lowest common multiple of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 3*s**2 + 2*s. Let o(c) be the second derivative of -c**5\/20 - 7*c**4\/12 - 7*c**3\/6 - 9*c**2\/2 - 2*c. Let f be o(-6). Determine r(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/374707?\nAnswer: -2\/374707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3847049 to the power of 1\/2, to the nearest integer?\nAnswer: 1961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4314*c - 201652 = -3208 for c.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 5 = l. Let g = 25 + l. Let k(r) = -10 - 5*r + 0*r + g. What is k(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -14. Let f(a) = -47*a**3 + a**2 + a + 1. Let u be f(-1). What is the greatest common factor of u and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -265 - -455. Suppose -198*b + 6256 = -h*b. Does 34 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12450, 0.1, -5, -1\/7 in increasing order.\nAnswer: -5, -1\/7, 0.1, 12450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*h - 672 = -81*h. What is the highest common factor of 154 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/243 + (-436)\/54 + 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*o + 417, -2*f + 422 = 8*o - 5*o. Calculate the least common multiple of o and 6.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26949799493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 - 13*b**2 - 6*b. Let d be g(-6). Sort -41, -4, d.\nAnswer: -41, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -3. Let h be (1 + -8)*2\/5*165\/66. Which is the smallest value? (a) h (b) j (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25755 to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -61836, -61832, -61824, -61812?\n\"Answer: 2*w**2 - 2*w - 61836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbbabnnbxnuubbboxuou. Give prob of sequence nxb.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173 divided by 228524.\nAnswer: 173\/228524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.0602893, 2\/9, -2\/3, 4\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 5298*h**2 + 15820*h + 148176.\nAnswer: 2*(h - 2646)*(h - 7)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 87\/15 + -2 + (-55)\/(-25). Solve 10*f + 12 = t*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.044 and -0.101911?\nAnswer: 0.208306084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11749, 2, -2, -1, 1, 0 in increasing order.\nAnswer: -11749, -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 1, l: 7, u: 3}. What is prob of sequence xv?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -3949, -12 in descending order.\nAnswer: -2, -5, -12, -3949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = i + 6*j + 22, 2*j = 4*i + 44. Let p be 6\/i + (-1)\/2. Let t = p + 4. Solve 4 = t*k - k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122000 (base 5) to base 7.\nAnswer: -16325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -380*z**2. Let p(m) = -2*m**2. Determine x(p(j)).\nAnswer: -1520*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {h: 1, z: 2, v: 1, p: 2, d: 5, b: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 + 2*j**2 + 0*j**2 + (3*j - 3*j + j)*(363*j + 685*j - 354*j) to the form m*j**2 + y*j + d and give m.\nAnswer: 692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14801516597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**0*k\/(k\/(k\/k**(-12)*k)) assuming k is positive.\nAnswer: k**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t = 7*t + 19950. What are the prime factors of t?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 0.08, 1, -15 in ascending order.\nAnswer: -15, 0.08, 2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 take away 2016?\nAnswer: -1385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11580403 is divided by 518?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1924539 is divided by 3936?\nAnswer: 3771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**9\/252 - m**5\/5 - 3*m**2. Find the third derivative of g(k) wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-14))\/(2\/(-14)). Factor -l**2 + 4*l**2 - 3*l**3 + 6*l**3 + r*l - 9*l**2.\nAnswer: 3*l*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 31. Let l(f) = f**2 - 9*f + 4. Let z be l(8). Let m be 0\/((-4)\/z + 0). Is 16 a factor of x(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10920 and 15210.\nAnswer: 425880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 12:52 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 44, 99, 178, 281, 408?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -2 + 1 - -23) + -100 + 92?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.09 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 6 + 27 + 21 - 5*f**2 + 6 + f - 10 - 51*f**3. Find the second derivative of l(z) wrt z.\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 720.1498mm?\nAnswer: 720149800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*35\/(-35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 7*l - 5. Let z be y(5). Let q = z - 3. Let m = -4300.4 + 4300. Which is the second biggest value? (a) m (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.09317 from -14423483.\nAnswer: -14423482.90683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 417, -15, -3, 4, 1 in increasing order.\nAnswer: -15, -3, 1, 4, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18126 divided by 6042\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -35 and -0.084?\nAnswer: 34.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u + 16. Let w be m(-10). What is the remainder when 104 is divided by (-7)\/(38\/10 + w)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007342 rounded to 7 dps?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 20*a - 29. Let t be k(-15). Let h = t + -109. Let o = 34 + 10. What is the least common multiple of h and o?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019122 rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 12 = -5*n + c, -2 = 3*n - 2*c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i. Let j = 4 + -2. Let u(y) = -3*y**j - 6*y + 4*y + 4*y. Let b(d) = -d**2 + d. Let f(r) = 2*b(r) - u(r). Give a(f(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.005 - -0.195. Which is the closest to 0? (a) -0.117 (b) g (c) 1\/2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 12.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71.29 + 72. What is d rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1536 divided by 3.\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6754, 0.3, 4111, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(30\/6))\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297830713.\nAnswer: 139, 2142667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -146 + 41. Let m be q\/(-33) - (-2)\/(-11). Suppose -m*j + j = -2*h + 34, 3*h - j = 61. 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 lowest common multiple of 4776 and 35634930.\nAnswer: 142539720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4\/8 + 383*p**3\/4 + 8040*p**2 = 0. Calculate p.\nAnswer: -670, -96, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/6 - 101*x**4\/6 - 1637*x**3\/3 - 5290*x**2 + 12900*x = 0. Calculate x.\nAnswer: -43, -30, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 12*h**2 - 129*h - 1509. What is j(-10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 4*z**2 - 5*z - 4. Suppose -28 = 4*c - 8. Let s be 9\/((-54)\/(-60)) + c. Give v(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2. Let o(t) = 10*t. Let p(x) = -162*x. Let g(w) = -66*o(w) - 4*p(w). Calculate g(k(c)).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/16 and -7 + 4 - (-95)\/280 - -1.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524*s - 2710 + 11650 = 370*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 36*a**2 - 60*a - 12*a**3 - 8*a**2 - 4 - 7*a**2 - 11.\nAnswer: -3*(a + 2)**2*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4488 and 395736.\nAnswer: 6727512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 393855.57 nanoseconds?\nAnswer: 0.000000109404325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*i - 1621 + 1453 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 182 = -182. Let f(h) = -h**3 + 3*h**2 + h + 1. Let g be f(d). Which is greater: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*o, 3*o = -3*h + o + 2. Solve -v + 13 = -4*k, -k - 2*v = h*k + 18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 7*s - 2. Let v be u(6). Suppose -3*c + 0 = v*q - 10, 2*c - 3*q = -16. Is c*(-393)\/6 + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*i + 321 + 130, 0 = 2*i + 2*k - 294. What is the highest common factor of i and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.041 - 0.541. Which is the smallest value? (a) -4 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 24*b - 48 = 0. Solve -3*m - b + 10 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-38)\/(-342) - (-1)\/(-9). Suppose 3*d = 5*b + 154, z = -2*d + 2*b + 101 - 5. Calculate the remainder when 166 is divided by d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -196? (a) 1\/7 (b) 0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/9 (b) -420 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 262945152 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32346 and 27?\nAnswer: 32346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*t - 159*t + 30726 = 272*t - 8*t for t.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28465929493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -203 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 35, 5, 4044, 1, -2 in increasing order.\nAnswer: -3, -2, 1, 5, 35, 4044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117)\/(-65)*(-10)\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h - h - 7 - 4*h + 5*h**2 - 3*h.\nAnswer: 5*h**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357546273.\nAnswer: 3, 7, 71, 239803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0)*(-525)\/1400?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188165 take away -9783?\nAnswer: 197948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*k - 168 - 135 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from {g: 8, r: 2, v: 3, b: 2, w: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - s - 1. Let y be k(-3). Let o = y + -10. Let i(x) = 2*x - 2*x + 2*x. Calculate i(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/5 - 1099194*g\/5.\nAnswer: -3*g*(g + 366398)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-21) - (-26)\/78. Let z = 2.04 + -0.04. Sort a, z, -1.\nAnswer: -1, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/416*-4)\/((-27)\/(-36))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.036 >= -4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -9, 3*u + 3*n + 0*n = 327. Suppose 0 = 4*f - 0*f + u. Let r be 3\/(f\/(-16) + -1). Solve -y = 2*y + r*x - 11, 4*y = 2*x - 22 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2. Let m(x) be the second derivative of x**4\/24 + x**2\/2 + 3*x. Let i(b) be the first derivative of m(b). Determine o(i(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i + 44 = 5*h, i = -2*h + 17. Solve -2*o + 15 = -h*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -223756 + 223870.0067. Let h = n + -114. Round h to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -26 + 28 + (-1 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0\/(t**(3\/5)\/t))\/(t\/(t\/t**(-2)*t))**(-31)*(t**1*t)\/(t**(-7)*t)*t**(-7)\/((t*t**(3\/5)*t)\/t) assuming t is positive.\nAnswer: t**(-466\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*p = 89057 - 107099 for p.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1012 by 22.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + 0. Let q = -0.4 + k. Let s = -1 - -1.4. What is the second biggest value in s, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**5\/12 + 7*d**4\/6 + 5*d**3\/3 - 15*d**2. Let x = 9 + -18. Is m(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4724410, 9448853, 14173298, 18897745, 23622194, 28346645?\n\"Answer: y**2 + 4724440*y - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.22. Let d = -10799 + 226777\/21. What is the third biggest value in 1, k, d, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 14*k - 6. Calculate z(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 9:05 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Let b = 2 + r. Find the second derivative of -z + 0 - 2*z**b + 0 wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 149722? (a) 11 (b) -4 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1421 + 1420.95128. What is s rounded to three decimal places?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6155596081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (534\/(-89))\/((-33)\/(-2)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(190)*-1 - sqrt(190))*-2*4)\/(sqrt(90)*1 + sqrt(90) + sqrt(10) + sqrt(160)*1 + sqrt(160)).\nAnswer: 32*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o + 5*a + 14400015, o - 4800015 = 5*a. Round o to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 349 + -346. Solve 10 + 2 = -u*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5986 - 320*d - 5986)*(4*d + 4*d - 2*d) to the form c*d + j*d**2 + r and give j.\nAnswer: -1920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.368 * 5\nAnswer: 1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 12*u**2 - u + 14. Let h = -34 - -46. Let g be m(h). Suppose 9 - 1 = g*n. Solve n*f = 3*b + 6 + 2, -5*f - 4*b = -10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - y - 3, 5*p - 3*y + 4*y - 6 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*o + 3*f, -2*f = -3*o + 24 + 16. Let u be 4\/(-10) + 144\/o. Suppose -3 + 157 = v. What is the greatest common factor of u and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108538772 and 5080.\nAnswer: 1085387720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -425, -843, -1257, -1661, -2049, -2415, -2753, -3057?\nAnswer: -3321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -338627, -677200, -1015811, -1354478, -1693219, -2032052, -2370995?\nAnswer: -2710066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2 + 3 + 0 + 3*n. Let r be (-2)\/1 - (8 + -8). Let z be (-2 - -3)\/(r\/(-2)). Determine d(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1125 and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 16844710 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -222.789544 minus -0.1?\nAnswer: -222.689544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -291*v*y**3 - v*y - 3*y**5 - y**2 - 6*y - 9 wrt y.\nAnswer: -1746*v*y - 60*y**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.97, 2916, 4 in ascending order.\nAnswer: 0.97, 4, 2916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.0021?\nAnswer: 0.00105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -2937 (b) -0.42 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 12467?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15847 - 16385. Sort 5, u, -3.\nAnswer: u, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -306 - -320. Let h(l) = -6 + 6 - f*l**2 + 13*l**2. Let t(k) = 2*k - 8*k - 5*k. Determine h(t(y)).\nAnswer: -121*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 12 + 4 = -3*h, 5*u = 20. Let v(s) = 2950*s**2 + s. Let n be v(-2). Let i be n - 0 - 8\/h. What is i rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -3. What is the remainder when s is divided by 8 - 5 - 2\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8595 - -10491. Calculate the remainder when l is divided by 230.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 211*z - 96 = 202*z, -5*v - 16 - 12 = -4*z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k - 10. Let h be n(3). What is the least common multiple of 2 + (-3)\/1 + 5*h and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}