diff --git "a/data/dm_maths/full_data/5839_11255.jsonl" "b/data/dm_maths/full_data/5839_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/5839_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 0 = -5*g + 42 - 17. Suppose 2*l - 279 = -2*u + 99, 0 = -2*u - l + 380. Suppose -g*o + u = -394. Calculate the greatest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -3*a - 9, 0 = 2*r + 4*a + 17 - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7189*g**3 - 7702*g**3 + 15217*g**3.\nAnswer: 326*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 - (-3 + 6 + 6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-3)\/60*-8)\/(3\/75) and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (sqrt(108) + -2*sqrt(108)))\/sqrt(4).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.931 - 432.19877?\nAnswer: -400.26777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750 less than 2666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 10*z + 56. Let x(c) = -c - 1. Let d be x(-1). Solve d = -q + 5 - z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -49\/5, -1, 1\/4, -16, -2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 179991755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-3))\/((-432)\/(-120))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d - 1. Let j be z(-1). Suppose -j = -k - i, i - 18 = -k - 2*k. Let y = 7 - k. Which is the closest to y? (a) 1\/3 (b) 0.4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -y + 5*p + 5925, 0 = -3*y - 4*p + 17832. Suppose -3 = -2*o - 1, 5*o = -5*q + y. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 - 122. Which is the nearest to -2\/7? (a) l (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13646*g**2*y**3 + 8*g**2*y - 7*g**2 - 100*g*y**3 + 89*g*y - 31*y wrt y.\nAnswer: -81876*g**2*y - 600*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 761751\/10 - 76175. Suppose -10 = a + 4*w, -a + w - 8 = 4*w. What is the third smallest value in a, -1, -3\/5, b?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + 3*k**2 + 25*k - 57. What is f(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*k - 5 = -17, 5*h = 4*k + 15. Solve h*d = 4*f - 0*f, 20 = 5*d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/6 and -19\/752?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1 = 2*h, 0*h + 10 = 2*d - h. Let r(n) = 234*n + 10. Let i be r(d). Suppose 4*x = i + 1828. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.15 - -13.55. Let n = p - 13.6. Let o = 3.07 - 0.07. Is o != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 != 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 243 + -234. What is the highest common divisor of d and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/25)\/(1\/(-5)). Suppose -n = -0*n - 4. Let t = n - r. Let l(u) = u**3 - 5*u**2 + 3*u - 2. Calculate l(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -18*(-5 - 7\/(-3)). What is the greatest common factor of h and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**14\/((y\/y**(1\/12))\/y))\/(y*y**(-8\/11)\/y*((y*y*y**(-1\/25))\/y)\/y) assuming y is positive.\nAnswer: y**(49007\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 32*i**6\/15 + i**5\/20 + 7*i**3\/6 + 17*i**2\/2 + 237*i. Find the second derivative of w(c) wrt c.\nAnswer: 768*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1001 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**3*b*p + 42*a**3*b*v**2 - a**3*p - 3*a*b + 2*b*p*v - 2*p*v**2 wrt v.\nAnswer: 84*a**3*b*v + 2*b*p - 4*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1\/4 (b) -0.02 (c) 416 (d) 45 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5\/13 - 106*g**4\/13 + 1340*g**3\/13 + 2004*g**2\/13 - 7614*g\/13 + 4374\/13 = 0.\nAnswer: -3, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -5*i**6\/3 + 4*i**3 - 16. What is the third derivative of r(u) wrt u?\nAnswer: -600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 12. Let a(n) = -2*n. Suppose 2*v + u + 0 = -1, u - 1 = 0. Let b be a(v). Solve r*s = -d + 4*d + 5, b*s = -4*d + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-45))\/((-5)\/(-5)). Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.2 + 8. Let k = -10 + r. What is the closest to 0.3 in -2\/11, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - c - 1. Suppose 2*r + 15 - 17 = 0. Let v(u) = -u**2 - u + 1. What is r*v(f) - s(f)?\nAnswer: -2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 - 7 - 29*k + 7.\nAnswer: -29*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*h, -3*h + 11 = 2*m - 2. Let s be 8\/(-7 - 1)*-22. Suppose 3*a + 2*l - s = 134, m*l = 6. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**4\/12 + 15*h**2\/2 + 4. Let d(r) be the second derivative of m(r). Let q(y) = 14*y. Determine d(q(x)).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3789*b**6 + 786*b**2 wrt b?\nAnswer: 454680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7295616110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -125392879 smaller than -125392874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - d**2 - 3*d**2)*(194 - 194 + 7*d**2) + 0*d**3 + 3*d**4 + 0*d**3.\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-117*(-10)\/15)\/(-3 - -5). Let q = u + -12. What is the lowest common multiple of 9 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -825 - 220 = -11*m. What are the prime factors of m?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4425 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71525 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -1. Calculate the least common multiple of g and (13 - 1) + 2 - -2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880.709 micrograms to tonnes.\nAnswer: 0.000000000880709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 6 = 4*h - 5*n, 3*h + 24 = -5*n. Let g be 220\/((-12)\/h)*4\/20. Suppose -g*r + 21*r = 0. Solve r*z = z + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + j**3 - 3)*(624 - 376 - 363) + 0*j**3 + j**3 + 0*j**3 to g*j**3 + s*j + c + i*j**2 and give g.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 33 = -2*y + 7, -n + 2*n - 13 = y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 895.1553 rounded to the nearest 10?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 8 = 2*n, 1 = 4*n - 2*z + 7. Let y be (n\/(-6))\/(10\/45). Let h = 0.306 + -0.336. Which is the biggest value? (a) h (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21680751, -173445921, -585379957, -1387567293, -2710092363, -4683039601, -7436493441, -11100538317?\n\"Answer: -21680739*c**3 + c**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 2:17 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 1057460.\nAnswer: -7\/1057460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 7320*d**2 - 43785*d - 65610.\nAnswer: -5*(d + 3)**2*(d + 1458)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 1 - 35. Suppose 62 - 197 = -3*f. Calculate the remainder when f is divided by (-1)\/(-4) - 3\/(k\/141).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843 is divided by 162.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2036 divided by -78237\nAnswer: 2036\/78237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -11, -4932, -1, -5 in decreasing order.\nAnswer: -2\/5, -1, -5, -11, -4932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + 0*g + 0*g**5 - g**5 + (3*g - 4*g + 3*g)*(-g + g + g**4) + (g + 4*g - 7*g)*(-14*g**4 - 48*g**4 - 36*g**4).\nAnswer: 197*g**5 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - -5.97. Let m be (-25)\/(-9) - (42 + (4 - 43)). Which is the nearest to -0.2? (a) m (b) -0.06 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 t when three letters picked without replacement from ntntetexxtx?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2669*l**3 + 5. Let g(h) = 534*h**3 - 1. What is 2*b(x) + 11*g(x)?\nAnswer: 536*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**8\/((((h*h**(-5))\/h)\/h)\/h))**(2\/73))**(1\/11) assuming h is positive.\nAnswer: h**(30\/803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dti when three letters picked without replacement from {i: 1, t: 2, d: 2, w: 1, g: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2824, 4\/5, -8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -20, 786838, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 5*l**2 - 5*l + 4. Suppose 2*s - 10 - 2 = 0. Calculate the remainder when v(s) is divided by (-8)\/10*(-15)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millennium in decades?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39.06 + 38.66. Let d = 4 - 6. What is the fourth biggest value in o, -4, -3\/2, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -24. Let h = -6573 + 6643. What is the highest common factor of h and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 25*b**2 - 2*b + b + b. Let v(n) = -2*n**2. What is r(v(g))?\nAnswer: 100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8933259 is divided by 66666.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37 and 65426.\nAnswer: -2420762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 124.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 1058 = -10548. What is the remainder when 231 is divided by (-5)\/25 - z\/25?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586207157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -7. Suppose f*q = -q, -5*j - 2*q + 20 = 0. Suppose 0 = j*w - 0*w - 64. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + -2 + 2 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7*(-6)\/210 - 1\/(-5). Let a(s) = -s**2 + s - 2. What is a(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29265359*u - 58530626*u + 29265362*u.\nAnswer: 95*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21\/10 in 13\/3, -1\/11, -6\/7?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.2 + -3.2. Let h = -13 + w. Let y be (-15)\/10*(-8)\/18. Which is the closest to y? (a) -0.5 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 at least as big as -13874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-9) - (-6 + 1). Solve -1 = 3*n + b*j + 2, 0 = -5*j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-12) - 1068\/(-72). Let y(l) = -l + 24. Is y(w) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*v = 5, 2*p - v = 10 + 7. Solve 1 = -p*s + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 - 9170709*y**2 - 73365675*y\/4 - 18341419\/2.\nAnswer: (y - 36682838)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 1.3. Let d = -0.0465 - 4.9535. What is the nearest to k in -0.3, 2, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3 - 29*d**2\/2 - 4*d + 42 = 0.\nAnswer: -14, -2, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-42000)\/72)\/35)\/((-8)\/12).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 3. Let d = 3 - 3. Let g be x(d). Find the third derivative of 9*a + g*a**2 - 16*a - 3*a**6 + 7*a wrt a.\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from {p: 3, a: 13, n: 1}?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 67154584 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 60*z**2 - 10*z - 22. Let y = 95 + -97. What are the prime factors of q(y)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/(-4*7\/112)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-247)\/741)\/((-8)\/3)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12608137?\nAnswer: 1297, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 795799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 156*y**2 - 2. Let l(a) = 26*a**2. What is l(z(q))?\nAnswer: 632736*q**4 - 16224*q**2 + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - ((-2)\/(-4))\/(87\/(-290)). Put -0.3, -0.2, 5, i in ascending order.\nAnswer: -0.3, -0.2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2451 or -17152\/7?\nAnswer: -17152\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i - 5. Let y be z(-5). Let w = -44 - y. Let o be w\/(-11) + 12\/(-66). Calculate the highest common factor of 16 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 3:42 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3290 is divided by 363.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 20 = -0*v + 2*j, -2*j = -3*v + 35. Suppose 0 = l - 17 + v. What is the third derivative of g**3 - 2*g**3 + 10*g**2 + 2*g**3 - 4*g**l wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27581.26 + -27583. Is -7.2 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6) + 166\/6*2. Suppose -3*i - i = 4*a - s, 2*a + 8 = 0. Calculate the least common multiple of 18 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39788734 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 c when four letters picked without replacement from {p: 2, g: 1, c: 2, i: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1\/6 (b) -2\/11 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 863687, 863689, 863691?\nAnswer: 863693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(2299) - (sqrt(2299) + 3)) + 2)*-5 + 1 + (-2 + -2*sqrt(2299) - (sqrt(2299) - -6*1*sqrt(2299) - sqrt(2299))))**2.\nAnswer: -2464*sqrt(19) + 147332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 + 10*f + 2. Let j be z(5). Suppose 5*n - 3*d = 32, -28 = -j*n + 6*d - d. Solve 5*a - n = 7*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f - 36. Let o be b(-2). Sort 3, -3, -2, o.\nAnswer: o, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (-1 - -1) + -2. Let q(j) = 5*j - s*j**2 - 3 + 4*j**3 + j**3 + 0*j**3 - 3. Let g(w) = w**3 + w - 1. Give 6*g(a) - q(a).\nAnswer: a**3 + 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r + 29*r = -2*l - 24, -18 = -2*r - 2*l. What is the second derivative of -32*u - 4*u**3 + 28*u - r*u - 34*u - 22*u**2 - 28*u wrt u?\nAnswer: -24*u - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.1 - -20. Let t be ((-3)\/(-10))\/((-9)\/(-4)). Which is the second smallest value? (a) t (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffbyxffffxfyfbfffbff. What is prob of picking 1 b and 1 y?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 10:24 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.08952 + 0.08952. What is the second biggest value in 0.4, -1\/3, 0.3, s, -1.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 226277?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 653*l**2 - 5464*l - 11088.\nAnswer: (l + 4)**2*(5*l - 693)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 6*k**4\/5 - 20124*k**3\/5 + 16853832*k**2\/5 + 33788208*k\/5 = 0?\nAnswer: -2, 0, 1678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 7*y**2 + 8*y - 15. Let g be k(6). Which is the closest to -2\/7? (a) -4 (b) g (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*j = -5*f - 24, 0 = 2*f + 3*j + 11. Let r(a) = a**3 + 11*a**2 + 10*a + 10. What is the least common multiple of 4 and r(f)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1675 = -4*n + n + 5*p, 5*n + 2845 = -5*p. Let m = 828 + n. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9266 divided by 82.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 9 = -259. Suppose 4*m + t = 5*m. What is the least common multiple of m and 35?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1. Let f(a) = 7*a + 5. Let p(v) = -f(v) + 5*x(v). Let t(n) = -13*n. Let k(o) = 9*o + 2. Let h be k(1). Let d = -4 - 2. Calculate d*t(i) + h*p(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -704*n**3 - 591*n**3 - 453*n**3 + 309*n**3.\nAnswer: -1439*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.4, -210\/3571 in decreasing order.\nAnswer: -210\/3571, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114732804, -114732803, -114732802, -114732801, -114732800, -114732799?\nAnswer: -114732798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 357157 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (48\/224 + 24\/(-14))\/1. Let v = 15 + -13. Let h be v\/(-3)*(-9)\/(-6). Which is greater: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 - -10 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*f + 530*f**4 - 2 + 8 - 4 - 5 - 4 wrt f?\nAnswer: 6360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 - 8806087749.\nAnswer: -8806087749.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 0. Suppose -x + 10 = -s. What is the smallest common multiple of x and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1074200893?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36907*t**2 - 6555*t + 6555*t.\nAnswer: 36907*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**2 - 3 - 16*b + 12*b - 1 - b**3. Let u(p) = -p**2 + 24*p - 19. Let f be u(23). Let w(g) = 2*g**3 + 7*g**2 + 7*g + 7. Determine f*w(x) + 7*a(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*p**2 - 247*p**2 + 10*p**3 - 247*p**2 - 6*p**3 + 747*p**2.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 1224988.\nAnswer: 11024892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/22 + (-1 - -58)*1. Let k(p) = -g*p + 110*p - 58*p. Let w(z) = 10*z**2. Calculate k(w(a)).\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -5\/2*g**2 + 0*g + 7. Let p(q) = q**2. What is h(p(b))?\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21 - (2 + -5)*3. Solve -16 = t*c - 38*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*l - r + 951 + 957 = 0, 6*l - l + 3*r - 26 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**3 + 2*x**2 + 65*x - 444. Give s(6).\nAnswer: 1098","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 12*p + 138, -p + 36 = 690*r - 691*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 81414, 3 in decreasing order.\nAnswer: 81414, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.439 and -84.1.\nAnswer: 289.2199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.285 - -0.715. What is the smallest value in j, 25, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xteze. What is prob of sequence xte?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3251 - -3264. Calculate the greatest common factor of s and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 17 = -n, 8519*n = 4*g + 8518*n + 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -242\/9 + 41\/9. Let u(x) = 12*x - 2. Let t be u(2). Let c = t + b. What is the closest to 0.1 in 2\/7, 2, c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 297432 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 7*a**2 + 2. Let x be l(-7). Suppose -27 = u - 30. Suppose u*p - p = 18. Solve -x*m = 3*m + 5, -5*m = -o + p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-10)\/32)\/(8\/(-24)) and -65\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - n + 3. Let g(z) = -z**2 + z. Let o(a) = 2*g(a) + p(a). Let u be o(0). Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393200 a multiple of 1525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1203863*b*x**4 + b*x**3 - 2*b*x - b - 2*x**4 - 73387*x**2 - x wrt x?\nAnswer: -28892712*b*x + 6*b - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 times -0.3?\nAnswer: -32.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = x + 200. Let w be (16\/x)\/(3\/(-60)*-4). Is ((-6)\/w)\/(-4 + 82\/20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.61267 + 6.61. What is i rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4785696 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -36308?\nAnswer: -36307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2247.\nAnswer: 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 227451, 454892, 682333, 909774?\n\"Answer: 227441*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + 1. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*o = 18, -2*o - 20 + 4 = -4*v. Let k = 98328\/5345 - -4\/1069. Let p = k + -18. What is the second biggest value in v, p, -0.4, 2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 1:40 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Let o(s) = q*s - 7*s + 6*s. Let p be o(4). What is the greatest common factor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvbbvyvvbv. What is prob of sequence bv?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 531.\nAnswer: -1\/531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v**2 - 7*v**2 + 3 - v**3 + 7*v**2 - 1 - v to o*v + s*v**2 + q + h*v**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-6 - -4) - (4 + 6) - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728403.\nAnswer: 3, 13, 19, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190 - 189. Let d = 1 + 2. Let a be (10\/8 + -1)\/(3\/6). Put d, t, a, 5 in increasing order.\nAnswer: a, t, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 3*f - 3. Let p(m) = -84*m**2 + 88*m - 3. Let n(t) = 4*p(t) - 4*r(t). Find the second derivative of n(u) wrt u.\nAnswer: -680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 747.822 + -749. Let c = h - -0.338. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1584) + sqrt(1584))*2 + 1.\nAnswer: -24*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-240) - 908\/(-24))\/((-6)\/8).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/24)\/(120\/(-6080))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*u + 200, 0*u + 4*n - 200 = -5*u. Let y = -20 + u. Let w = y + -20. Solve -4*s + p + 3 = w, -2*s + 15 = -7*s + 5*p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -4. Let j(f) be the first derivative of -3*f**2 + 5*f + 249. Let i(x) = 3*x - 3. Determine p*j(g) - 7*i(g).\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 12*y**2 + 90*y + 4. Give r(-5).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1261*j**2 + 23*j + 27627 wrt j.\nAnswer: 2522*j + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l + 2. Let c(w) = -w**3 - 11*w**2 - 9*w + 10. Let d = 12 - 22. Let v be c(d). Let i(h) = 8*h - 4*h - 1 + v + h. Give -9*i(m) - 4*s(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*2*-6 + (sqrt(2) - sqrt(18)\/(sqrt(9) - (sqrt(81) + sqrt(9)))) + (-2 + sqrt(8))*-3 + 4)**2.\nAnswer: -1000*sqrt(2)\/3 + 5900\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-843)\/562*((-14608)\/(-33))\/8\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a6 - -3?\nAnswer: -1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 106 = -191*w + 195*w, 109 = 5*l + 4*w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1310*v - 1416*v - 377*v.\nAnswer: -3103*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 4 = -15*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((119\/(-21))\/(-5*7\/(-105)))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 359803.\nAnswer: 1\/359803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 101, -55, -5 in descending order.\nAnswer: 101, -3, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phkpkhhow. Give prob of picking 2 p and 1 k.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.121 and -0.9.\nAnswer: -0.1089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/3 + 22*b**3\/3 - 92*b**2\/3 - 112*b\/3.\nAnswer: 2*b*(b - 4)*(b + 1)*(b + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 216*q**2 + 33 + 7 - 211*q**2 + (2*q - q - 2*q)*(-2 + 2 - q).\nAnswer: 6*q**2 + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*y - 19 = -7*v, 0 = 4*v - 4*y + 12. Suppose -4*d = t - 3 - 6, -7 = 3*t - 5*d. Calculate the greatest common divisor of t and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -1\/10, -11\/2977?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 7 + 27 - 45 - 1985*p in the form d + l*p and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 30 = -3*c. Let o(q) = -q**3 + c*q**2 + 12 - 22 + 0*q**2 + 5*q + 0*q**2. Let g be o(3). Let w(l) = l**3 + 4*l**2 - 6*l - 5. Determine w(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 12:16 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**3 - 4*g**3 - 6*g**3 + 2*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 756 + -507. Let h be (-1)\/2 - k\/(-30). Let q = h - 367\/40. Find the common denominator of 121\/6 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/3 - 2\/3. Suppose -18*a - 87 = -21*a - 2*i, 0 = 4*a + 2*i - 114. Let j = a - k. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-3 - -4) + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108587.\nAnswer: 108587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 0*j**2 + 0*j**5 + 0*j**3 + 0 - 1\/6*j**4 - 1\/10*j**6 + 3*j. Find the third derivative of d(n) wrt n.\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + sqrt(5616)*-5 + sqrt(39))\/(6*sqrt(147)).\nAnswer: -29*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 180*d**3*n**4*o + 3*d**3*n*o**2 + d**2*n**2*o**2 + 21*n*o wrt n?\nAnswer: 2160*d**3*n**2*o + 2*d**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/12 + 655*p\/2 + 1964\/3 = 0. What is p?\nAnswer: -3928, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -7.9984, 1\/6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0*y - 10. Suppose 13 - 9 = y*c. Solve -5*i - c*t - 31 = 0, 0 = -i - 4*t + 10 - 27 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 5 - 2)*(5 - 1 - 3)*(-8*r + 9*r + 11*r) + (-1 + 1 + 2*r)*(-2 - 2 + 6) + 0 + 0 - 2*r.\nAnswer: -166*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1592706510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2431*x**2 + 422*x**2 - 583*x**2 + 192*x**2 as u*x + l + r*x**2 and give r.\nAnswer: -2400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22745 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 h(m) be the second derivative of 3*m**7\/7 + 3*m**4\/4 - 25*m. What is the third derivative of h(f) wrt f?\nAnswer: 1080*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -51778, -414186, -1397860, -3313432, -6471534, -11182798, -17757856, -26507340?\n\"Answer: -51772*y**3 - y**2 - y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j**3*w*x - j**3 + 1583*j*x + 172*w**2*x with respect to w.\nAnswer: 3*j**3*x + 344*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -937209*a - 1593030 wrt a.\nAnswer: -937209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115576665469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*w + 18*w = -56. Suppose w*a + 119 = 4*d - a, d - 5*a = 34. Calculate the remainder when d is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2. Let t(k) = k. Let z be t(2). Let p(r) = r**2 + z*r - 8*r - 2*r**2. Let x(b) = -b. Let d(u) = -p(u) + 6*x(u). What is w(d(l))?\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91834258, -91834260, -91834262?\nAnswer: -91834264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 + 5)\/10 - (-1 - 1598).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.14, 1, -0.5, -66\/7, 10 in descending order.\nAnswer: 10, 1, -0.14, -0.5, -1, -66\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -165*f**2 + 5*f + 2. Let s be z(4). Let p be s\/(-7764) + (-1)\/3. Let y = p - -44959\/1941. Find the common denominator of -18 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeieeeeeeeegee?\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -593*s - 51599. Calculate n(-87).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + -137. Let d(z) = 194*z - 1503. Let f be d(9). Let k = l + f. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o - 1. Let p be 102 + -13 - (5 - 1). Let c be (p\/20 - 4) + (-22)\/(-8). Let u be (-4)\/(-3)*(c\/1 + -6). What is z(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1564 is divided by 217?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) - (sqrt(96)\/sqrt(3) + sqrt(32) + sqrt(32))*2)\/(sqrt(20)\/sqrt(5)*5 + sqrt(44)\/(sqrt(11)*1)).\nAnswer: -5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88090 by 800.\nAnswer: 8809\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -7. Let x be 188\/60 + (-4)\/30. What is the highest common factor of x and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 5, -3, 3, -5, 230 in ascending order.\nAnswer: -5, -3, 3, 5, 20, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 44*61.7\nAnswer: 2714.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 20 = j, -8 = -3*j + 2*n - 3. Let r(o) = 65*o + 70. Let s be r(-1). Calculate the highest common divisor of j and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 20. Suppose l*m = -m + 152. Calculate the highest common factor of 19 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) 1.45 (b) 2\/29 (c) -20\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*w - 21. Let d be (-1)\/(3 + w\/6). Suppose -d*a + 4*m = -24, 0*m = 4*m. Solve -3*n = -7*n + a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 6:18 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1104 is divided by 56.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104463 - -1552?\nAnswer: -102611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/21 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3040 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 6*h**2 + h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11 - -3.89. What is the nearest to k in -2, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2992895 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31.9678 + -32.1. What is t rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -46 - 7*c + 3 - 2*c**2 + 12*c + 11*c + 12*c. Calculate o(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5329 + 6374. What is the greatest common factor of 110 and v?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 55*b - 2. Let h be i(3). Suppose 8*y = h + 125. Calculate the remainder when 105 is divided by y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j = -51790*t + 51787*t + 40, 0 = -j - 2*t - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*q = 142, -2*j + 6*j + 5*q - 274 = 0. Let u = 68 - j. What is the second biggest value in 0.3, -0.2, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164765.6108 rounded to the nearest 1000?\nAnswer: 165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjjrj. Give prob of sequence rr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*h**5 - 7*h**4 - 67*h**3 + 706*h**2 + h + 14.\nAnswer: 840*h**2 - 168*h - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/3)\/(-36*5\/(-10)). Is m bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5333 divide 5085415475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 h, and 1 w when three letters picked without replacement from {p: 3, o: 3, q: 3, h: 1, t: 2, w: 3}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 233*s**6\/40 - 701*s**5\/4 + 191*s**2 + 2*s + 2. What is the third derivative of h(d) wrt d?\nAnswer: 4194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 630 and -2319?\nAnswer: -1460970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 522 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 17*z**2. Let v(g) be the first derivative of 2*g**3\/3 + 34*g + 86. Let u(y) be the first derivative of v(y). Calculate t(u(c)).\nAnswer: 272*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, 292, -1740\/7, -0.2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -22*s**3 + 8 - 18*s**3 + 6*s**2 - 16*s**3 + 25*s**3 - 23*s**3 + 8*s. Let q(c) = -18*c**3 + 2*c**2 + 3*c + 3. What is 3*d(i) - 8*q(i)?\nAnswer: -18*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at least 11627982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6774616993\/2520 + -2688340. Calculate the common denominator of 53\/48 and y.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/((n\/(n\/n**(-17))*n)\/n)))\/(n*n*n**(5\/4)*n*n))\/(n*(n\/n**(-34))\/n*n**16) assuming n is positive.\nAnswer: n**(-289\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 - 21 = 20*k + 11*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 9*a - 1. Let z be o(3). Suppose -4*h = -3*u + 7, 6*u - 2*h - z = 2*u. Let b be u + -12 - -3*1. Solve 4*t = 2*w + 14, b = -t + 3 - 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) 6\/5 (b) -200 (c) -3.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6497 is divided by 360.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 22. Suppose -19 = -2*m + 1. Let t be j(m). Let x(u) = u**3 - 2*u**2 + 2*u - 1. Let g be x(1). Solve -w = c - 0*w, g = -3*c + 3*w + t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 3*d - 112. Let g = d - -32. Which is the second smallest value? (a) -3\/7 (b) g (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 7*u**2 + u - 3. Let q be l(7). Let w be (q\/6)\/((-1)\/(-3)). What is d in d**4 - w*d**3 + 3*d**2 - 2*d**2 + 0*d**4 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1140\/14)\/2)\/((1078506\/(-2002))\/(-419))?\nAnswer: 95\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkyyjyyjjyk. What is prob of sequence kjy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*l**3\/5 + 108*l**2\/5 + 36*l\/5.\nAnswer: l*(l + 6)*(17*l + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-71)\/(7242\/(-476)))\/(4\/32 + 306\/(-4752)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 382.343 to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (210\/40 - 5)*1292?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 3*k - 48. Let r be k*-334*5\/(-40). Suppose -2*u - 183 - r = -2*l, u = 4*l - 1383. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 2*o**2 - o**4 + (-o - 1 + 1)*(58*o**3 - 216*o + 216*o) + 0*o**4 + o**4 + 2*o**4.\nAnswer: -56*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -876*a - 21 - 4*a**2 + 893*a + 3*a**2 - a**2. Calculate the remainder when 25 is divided by t(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -151051700.6 rounded to the nearest one hundred thousand?\nAnswer: -151100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 225, 318, 387, 426, 429, 390?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-228)\/(-3)*800\/6. Round s to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 378402545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 7) in base 6?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -95.15973 to 0 decimal places.\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**4 + 182590*z**3 + 14265240*z**2 + 263507200*z - 585536000 = 0. What is z?\nAnswer: -40, 2, 36596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*z**4 - 34*z**4 + 88*z**4 + 2*z**2 - 5*z + 52 + (3 + 2*z**2 - 3)*(-z**2 + z**2 + z**2) in the form a*z + f*z**3 + c*z**2 + n*z**4 + l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.1 times -36?\nAnswer: -1191.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18221 is divided by 4529.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23, -35, -59, -101, -167, -263, -395?\n\"Answer: -k**3 - 5*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/(7144\/(-19)))\/((-2)\/(-112)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-63481)\/(-220) + (14\/(-4) - -1). Let q = -286 + l. Sort q, -1\/4, 0.1, -4 in increasing order.\nAnswer: -4, -1\/4, q, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7341 is divided by 308.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3996.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1546 - 1541. Which is the nearest to 1? (a) -2\/17 (b) x (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 + 6504224*f\/3 - 2168074.\nAnswer: -2*(f - 3252111)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626640721?\nAnswer: 7, 89520103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-156)\/(-30))\/(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 12*j**3 - 15*j**2 - 4. Let k(n) = -36*n**3 + 44*n**2 + 11. Let v(f) = -4*k(f) - 11*o(f). Find the third derivative of v(q) wrt q.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.496043694 to 1 dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 150216.99 * 2.\nAnswer: 300433.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 - 7*i**3 - 3*i**3)*(0 + 13*i + 15*i + 0) - 3*i**4 - 5*i**4 - 26*i**4.\nAnswer: -258*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/672*21*(-10)\/1570.\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 4*c - 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4 + 22*c**3 + 18*c**2 - 238*c + 196 = 0. What is c?\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from khjh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001110 (base 2) in base 11?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 32.628, -4, 35?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.3 in 3.3, 7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.032 and 12.98?\nAnswer: -13.39536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 4:27 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -123470 greater than -123428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296946.\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 82\/2*(-2 - -1). Let d = -17 - s. Let b(u) = -79*u + 2955. Let l be b(37). Calculate the greatest common divisor of l and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 8\/3. What is the smallest value in 5, d, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 6*n - 3. Let v be q(7). Suppose 2*j + 3*d = 1 + 5, -4*j = 3*d - 12. Suppose w - j = v*w. Which is the nearest to 0? (a) w (b) 2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*c - 4*c + 3, -5*q = -2*c. Suppose 2*k - 10 = -2*b, 0*k + 2 = q*k - 2*b. Find the common denominator of -115\/6 and (((-27)\/6)\/k)\/(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 0 + 1 + sqrt(192))**2.\nAnswer: 32*sqrt(3) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**5\/60 + 3*a**4\/8 + 2*a**2. Let d be b(9). Suppose d*q = 3*q - 57. Find the common denominator of 23\/2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -58*s + 34*s + 28*s - 89, -5*s = -14*z - 10*z - 58 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 7:54 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5468.342 days?\nAnswer: 472464748.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-6) + -1)*-2. Suppose -b + i*b = 20. Solve b*r = -11 + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1*(-2)\/(-66))\/((-47)\/564) and -19\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241421 (base 5) in base 9?\nAnswer: 36675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 6*b. Suppose b = -l - 4*l + 10. Solve -4*r + 21 = s, -1 = -3*s + 3*r + l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 298 and -40?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxaxrxxxkxraxkxikxi. Give prob of sequence rkx.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-2\/17)*k**(15\/7)*(k**(1\/6)*k)**(2\/63) assuming k is positive.\nAnswer: k**(10595\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 13819 = -2*u, -u + 83*t + 6905 = 82*t. Does 58 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8473, -10065, -11657, -13249, -14841?\nAnswer: -16433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1169 + 1174. Let i = -21.2 + 22.2. Which is the biggest value? (a) i (b) 16 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2\/39 (b) -2 (c) 0.55 (d) -7 (e) 0.3 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 13 - 37. Suppose 2*u = a + g, -15 = -4*u + 4*a + 1. Suppose -5 = -0*b - b. What is the remainder when b is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 284*x - 32. Let s be b(1). Let r be 3\/s*12 - (-34)\/7. Factor 0*h**3 + 0 + 1\/3*h**r - 1\/3*h + 2\/3*h**2 - 2\/3*h**4.\nAnswer: h*(h - 1)**3*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/72)\/(11\/(-12 + 2091))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*u + 38*u + 4*r + 32, -3*r = 5*u + 35 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/(9225\/(-1026) + 9). Is -57 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -27*i - 27. Calculate the remainder when f(-10) is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/13 and 1\/1443.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*z + 84. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3)\/l*l)\/l*l\/l**(-3)*(l*(l*l*l*l\/l**(-2\/3)*l)\/l*l)**(1\/47))**34 assuming l is positive.\nAnswer: l**(680\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76128518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 25\/12*z**4 + 0 + 0*z + 15\/2*z**3 - 100*z**2. Differentiate g(r) with respect to r.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 9:08 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*k**2*r + 159098*k**2 + 1201*r**2 with respect to r.\nAnswer: -24*k**2 + 2402*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Let a(z) be the third derivative of x - 1\/72*z**4 + 0*z + 1\/9*z**3 - 1\/90*z**5 + 5*z**2 + 1\/360*z**6. Factor a(d).\nAnswer: (d - 2)*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 4*a = -3*b + 16, -b - 5*a + 20 = 0. Suppose -3*t - 2 - 10 = b, -5*z + 2*t + 28 = 0. Solve 2*u = -0*u - z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43490088 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 83, 100, 139, 212, 331, 508, 755?\n\"Answer: 2*t**3 - t**2 + 6*t + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 50270.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 330 and 26202?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-36)*-4)\/((7040\/(-144))\/22)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13734)\/(-4)*(-168)\/(-98). Suppose -4*y = -3*x + 8833, -2*y - a = -0*x - 2*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**2\/2 + 9*u - 2. Let s be z(4). Solve 0*c + 5 = s*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 32 = -4*r, 3*r + 5*w - 14 = 3*w. What is the remainder when 23 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 96685*g - 78569750.\nAnswer: -5*(g - 18487)*(g - 850)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 18. Suppose 4*y + v = s, 2*s - 3*y = 17 - 1. Calculate the common denominator of -65\/4 and (-2)\/4 - 49\/s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.3 times -31335?\nAnswer: 1074790.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mllhlhlhmlhllh. What is prob of sequence hlhm?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 3, v: 1, f: 4, b: 2}. Give prob of sequence sy.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 10*z. Let y(a) = -a + 3. Let n(i) = -8*i + 6. Let k(d) = -n(d) + 2*y(d). Determine c(k(s)).\nAnswer: 60*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6044827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37249*p**2\/2 - 4632*p + 288.\nAnswer: (193*p - 24)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -d + 3. Suppose 0*u - 5*u = 50. Let i(m) = -2*m - 15. Let h be i(u). Solve 2*x = -h*q - 17, -q - 3*x - 12 = d*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*y = -9 - 3, 0 = -4*i - 3*y - 9. Suppose i*p = -3*p + 3. Is p < 3\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 2145433?\nAnswer: 2145424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 3*j**2 + 4*j + 1. Suppose -3*a = 16 + 2. Let z be (-4)\/18*a*3. Suppose 3*f + z + 8 = 0. Give o(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + 1 - ((0 + sqrt(17) + 0)**2 - sqrt(17)) - (-5 + sqrt(68)\/sqrt(100)).\nAnswer: -11 + 24*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, -22 in increasing order.\nAnswer: -22, -11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -123\/2, 1.25 in decreasing order.\nAnswer: 1.25, -3, -4, -123\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8*c**2 + 17*c - 8. Let l(b) = 2*b**2 + 7*b - 3*b + 0*b - 2. Let n(f) = 6*f - 69. Let s be n(13). What is s*l(t) - 2*g(t)?\nAnswer: 2*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 4, -0.05, -8, -3, -903?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 506 and 230?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7000*u*y**3 + 11*y**3 + 2*y - 103 wrt u?\nAnswer: 7000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -115*o + 154?\nAnswer: -115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05580935 to 3 decimal places.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2. Suppose -5*p = v - 0*v - 10, p - 2 = 4*v. Let m(n) = 6 + p - 8 + 3*n. Give m(y(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-2\/3)*k*(k*k\/k**3)\/k*k*(k*k**(-6)*k*k)\/(k\/k**(-1)) assuming k is positive.\nAnswer: k**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12452 - 9692 = -8*w. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + 1 + 2*sqrt(275))**2 - (sqrt(220)*-2 + sqrt(55))\/(2*sqrt(125) - sqrt(125)).\nAnswer: -5680 - 2997*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*h = 83*h - 196. Calculate the remainder when 67 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 218*t - 718. Determine q(4).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 6.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2221992 divided by -246888\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, g: 2}. Give prob of picking 2 j.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3341019 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/106458157 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(3) + sqrt(3) + -1)**2*1 - ((sqrt(15)*-1)\/sqrt(5) + (sqrt(3) + sqrt(9)\/sqrt(3))*-4)**2.\nAnswer: -230 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**2 + 148740472*x + 1382733000673924 = 0.\nAnswer: -18592559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 1. Suppose 2*k = 3*w + 3, 3*w - 1 = 4*w - 4*k. Let y be (2\/o)\/(w\/(-34)). Solve -4*z - 5*i = -17, -3*i - y = z - 6*i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/1408*-54*(-14)\/189*-18.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 4078*u - 4071*u + 206, -2*c + 43 = -u for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 + 10641*q**3 - 63774*q**2 + 127500*q - 84984.\nAnswer: -3*(q - 3541)*(q - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131821 + -13675. Suppose 0 = 3*i - 37317 - o. Suppose -215999 = d + w, -3*w + i + 164182 = -d. Round d to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20397, 20545, 20693, 20841?\n\"Answer: 148*u + 20249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5368 + 64531\/12. What is the common denominator of -59*(0 - 5)\/(-80) and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27945444 is divided by 390.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = 62 - 160. What is the remainder when 774 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 32 = -183*u + 187*u, -4*m - 4*u + 4 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - t**2 + t + 10. Let h be -1 - ((-9)\/(-3))\/1. Let u = 4 + h. List the prime factors of m(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(272) - (sqrt(272) + (sqrt(272) - (sqrt(272) + 0 + -5 - sqrt(272))))) + -1*(4 + sqrt(272) + -1))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466428941.\nAnswer: 11, 443, 95717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-1776)\/160 - 98\/(-180)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0 = 6. Let m(t) = -t**2 + 11*t - 17. Let s be m(4). Let r(g) = 0*g**2 - 2*g**2 + g**3 + 2 + s*g + 0*g**2 - 10*g. Calculate r(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 11:48 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 772332?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 29*k**3 + 4*k**2 + 4*k + 3. Let g be r(-2). Let v = 160 - g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-12875.\nAnswer: -386.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 2*u + 11 + 3, u + 10 = -3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -850 + 850. Suppose 23*h - 8*h - 172110 = y. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v - 1613 = 1912. Suppose -3*a = -0*a + 3*q - 72, 2*a = -4*q + 46. What is the remainder when v is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-three fifths of a kilogram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*v + 1)*(-5*v + 0*v + 4*v) + 0*v**2 - v**2 - v**2 + (-4*v + 4*v + 3*v)*(v - 2 + 2).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - r + 3 + 12, -3*r = -5*n - 25 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 509.4752.\nAnswer: 507.4752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 + (2 - (-1620 + -6)) + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -89*f + 2. Let l be u(-2). Let a = l - 127. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 771 = 66*t - 65*t - d, -4*t + 5*d = -3085. Let i be (-7)\/(t\/20) - 101\/(-11). Let n(w) = -3*w - 9 + 2*w + 2*w. Give n(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/(-3))\/(-6 + 5). Let n be 1 + 1*((11 - p) + -5). Factor 2\/17*t - 4\/17 + 2\/17*t**n.\nAnswer: 2*(t - 1)*(t + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807046075 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -59, -106, -163, -236, -331, -454, -611, -808?\n\"Answer: -m**3 + m**2 - 43*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3)*38)\/((550\/6325)\/((-6)\/(-92)))?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1272*v + 54711 = -36777 - 35236 + 16060 for v.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31930 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.696609719 + -0.6966. Round s to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 11184.39kg?\nAnswer: 11.18439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 5*t**8\/48 - 457*t**7\/42 + 27*t**6\/8 + 3241*t**5\/12 - 4565*t**4\/6 + 650*t**3 - 4557*t**2 + 2. Find i, given that g(i) = 0.\nAnswer: -3, 2\/7, 1, 2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618293 is divided by 188?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -351, 19, 3, -5 in ascending order.\nAnswer: -351, -5, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g + 36. What is y(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -355 + 119. Let q = 251 + r. Solve 14 = -2*u + 4*b, -2*u - 34 + q = -5*b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 348 + -160. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.4, -2\/11, -2, 0.57?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 1\/1)\/(4\/(-16)). Suppose p*l - 5*l = 9. Solve 2*y = 5*s - 16, 0 = -l*y - y + s + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 378 = -5*a, -4*p = 4*a - 207 - 89. Let o = a - 22. Calculate the remainder when 25 is divided by 1\/(-1*(-4)\/o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(252) + 0)**2 + -4.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 9 = -5*z + 2*w, 0 = z + 5*w - 3. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 48915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9*m - 1. Let d = -3 - -3. Let u(x) = x**3 + x**2 + x + 1. Let g be u(d). Calculate the least common multiple of a(g) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.481 times -0.1\nAnswer: 0.4481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 46524.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/9 - (-4)\/18. Differentiate 2*t**4 - p + 2*t**4 - t**4 with respect to t.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msvssvsvswsm. What is prob of picking 2 s?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*h + 215*h - 5928 = -321*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**3 + 7*t**3 - 2*t**3 + (-2*t**2 + 3*t**2 + 0*t**2)*(t + 3*t - 2*t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 38. Let u(p) = 7*p + p - b*p. Let v(z) = -5*z + 5 - 4*z - 5. What is v(u(y))?\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -23. What is the third smallest value in 0.3, b, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 2*f = -2, -9 = 5*f + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**3 + 7*z**2 + z + 2. Let m(v) = -2*v - 2 + 0 - 3*v**3 + 0 - 6*v**2. Let d(x) = 3*m(x) + 2*u(x). What is d(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 1 = -4*v - 4, -3*r = 5*v - 30. Let o = -25 - -25. Suppose v*g - g - 4 = o. Solve 5 = -5*b - 5*z, 0*b - 10 = -g*b - 5*z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -572 (base 16) to base 7.\nAnswer: -4031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.41582829 to two dps.\nAnswer: -4.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11676.3 - 0.5.\nAnswer: -11676.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 29*u - 4351. Calculate t(150).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-126)\/(-10))\/(3\/10). Is 11 a factor of (-38)\/((-306)\/v - -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 11:49 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 2. Suppose -24 = 4*r + 4. Determine c(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 23 = -18 + 51. Solve y*d + 2 = 2*p, -2*d = 3*p + 2*p + 19 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/4)*n)**(-12))**(-15) assuming n is positive.\nAnswer: n**315","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-9) + (-1)\/3. Suppose 5*t + 33 = 13. Let a = t + 3. What is the smallest value in a, 0.3, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64*(-337)\/(-21568)*(-214)\/(-2).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/20 - -1\/5. Let z = 0.4 - 0.2. What is the smallest value in z, r, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-156)\/15 + (-4)\/(-10). Let w be 852\/n*(-10)\/(-25). Let c = w + 3293\/100. What is the common denominator of c and 37\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40237880 rounded to the nearest 100000?\nAnswer: -40200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddq when three letters picked without replacement from {d: 6, v: 10, q: 2}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2107*p**4 + 9*p - 90?\nAnswer: -25284*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 6*f - 5. Let r be p(-7). Let h be r*44\/24 - 3. Which is the closest to h? (a) -1 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38500579?\nAnswer: 13, 2961583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/11430 and -71\/84690.\nAnswer: 10755630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w - 2. Let y be j(-2). Suppose -78 = -3*p + 3*g, 4*p + g - 124 = -0*g. Suppose p = y*k - 34. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - 28 = 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n. Let l(f) be the first derivative of -382*f**3\/3 - 5*f**2\/2 - 3602. Calculate l(d(g)).\nAnswer: -382*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s = -2608 + 2608. Solve s = 27*g + 4 + 23 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 12, e: 1, x: 1, p: 1}. Give prob of picking 1 r and 1 x.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -156\/7 >= 3185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/33*(-27)\/(-153)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + -0.1. Let y be ((840\/(-225))\/28)\/((-88)\/120). Which is the second smallest value? (a) y (b) v (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**4 + 152*b**3 - 1152*b**2 + 3240*b - 3132 = 0 for b.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 5 - 12 - 21*b**2)*(b - 131 + 17*b**2 + 130 + b).\nAnswer: -357*b**4 - 42*b**3 + 21*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612 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: Suppose 11*q - 47 = 63. Is (110\/2)\/(q\/10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20028*x + 141570 = -17850*x for x.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 229*y - 71679. Determine j(313).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 12*n - 45. Solve -20 = -4*s - o - 2*o, 4*o = n*s + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1532\/(-12) + 3)\/((-14)\/15) - (-22530)\/52570.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k - 111371 = -110859 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*p = -5, l + 3*l - 7 = p. Let g = l + 0. Suppose 4*m + 2*s = 62, g*m + s = 4*s + 11. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 51?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**8\/20160 - m**5\/15 + 23*m**2. Let j(d) be the third derivative of a(d). Let b(x) = -25 + 4*x - 21 + 46. Determine b(j(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 23*c - 9. Suppose -182 - 212 - 278 = -56*u. What is v(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + 9a699?\nAnswer: 9a6a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -a322 (base 11) to base 8\nAnswer: -32601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -9 (c) 0.6 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5187 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -453310.466 to the nearest 1000.\nAnswer: -453000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 119309 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14060 + 14057. Let n(j) = 5*j + 3. Let p(k) = -5*k - 2. Give c*n(s) - 4*p(s).\nAnswer: 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2190104 is divided by 589?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s - 5*s**3 - 1366*s**2 + 1366*s**2.\nAnswer: -5*s**3 - 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 645.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 - 1277 = 25*i. Let h be 4 + 0 + -5*(-24)\/i. Calculate the greatest common divisor of h and 74.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**7\/14 - 23*w**3\/3 + 7*w**2 - 1. What is the first derivative of g(j) wrt j?\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13839537 by -601719.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 7 + 73. Calculate the common denominator of 73\/16 and 71\/(-8) - (-30)\/z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 266 = -278. Let y(f) = f**2 + f - 10. Give y(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37.8 - 46. Let b = 1.2 + w. Let v = 6.999953 + b. What is v rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6818248 weeks to seconds.\nAnswer: 412367.63904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59626987 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11296126005 + 6450?\nAnswer: -11296119555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/((-48)\/(-15))*124 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 237*h + 32 - 235*h - 9 as u*h + y and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409189456.\nAnswer: 2, 13, 17, 97, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -29*g**2 - 2. Let h(n) = 3*n**2 - 12*n + 12. Let y(i) = -4*i + 4. Let d(t) = -h(t) + 3*y(t). Calculate c(d(s)).\nAnswer: -261*s**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -227 from 0.1234892.\nAnswer: 227.1234892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2. Let d(z) = 1 - 35*z**3 + z + 71*z**2 + 1 - 73*z**2. Let k be d(-1). Let c(r) = -k*r**2 + 69*r**2 - 38*r**2. Determine g(c(o)).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690513?\nAnswer: 3, 337, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26844118, -26844119, -26844120, -26844121?\n\"Answer: -j - 26844117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let x(b) be the first derivative of 1\/30*b**5 + 0*b**2 + 0*b - 4\/3*b**3 - 5 + 0*b**4. Let j(k) be the third derivative of x(k). Determine q(j(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-261)\/(-10) + 6\/15 + (-48)\/96. Solve f*u = -12*u + 190 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15529, -31060, -46577, -62074, -77545, -92984, -108385?\nAnswer: -123742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*t - 3295, 156 = -t + 3*o - 1499. Round t to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 116*k**2 + 3*k**3 + 60*k**2 - 69*k**2 as n*k**3 + g*k**2 + h*k + x and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27726420 to the nearest integer?\nAnswer: 5266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1035 by -224.\nAnswer: 1035\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*x + 5*h, 2*h - 16 = -x + 5*h. Let l be 0\/((0 - x)*-2). Suppose -s + 5*s - 5*v - 4 = l, -14 = -5*s + 4*v. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37390 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3 = 18. Let x = 8 + -5. Calculate the highest common divisor of x and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**3 - 5*h - 3. Let n be t(3). Suppose 2*f + n = 179. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2410137?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y - 15 = 37 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(24)*-2*-5 + sqrt(24))\/(5*(sqrt(12) + 1*sqrt(12))))**2.\nAnswer: -363\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 313*b**7\/210 + 48*b**5\/5 - b**4\/24 - 183*b**2. Find the third derivative of c(z) wrt z.\nAnswer: 7512*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 5:12 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*o - 240 = 2*i, 4*o - 3*i = 475. Suppose -o = -4*b - b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 - -981428589.\nAnswer: 981428588.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 8918965, -1, 8 in decreasing order.\nAnswer: 8918965, 8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -931196.\nAnswer: -931195.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 30. Suppose -h*v + 10 = -22. Calculate the lowest common multiple of v and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 14 (c) 31145 (d) 2.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -7*h - 19 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 3045157?\nAnswer: -3045154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -9. Suppose -h - 4*h + 55 = 0. Suppose -h = -s*m + 14. What is the highest common divisor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.134 (b) 0.5238 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/8 (b) 2\/5 (c) -0.05 (d) -0.5 (e) 2 (f) -2\/81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (13 - 12)*-1)*-10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134.716 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 5937387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwzwwwzz. Give prob of sequence zz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2916*s + 2*s**2 + 2916*s + 1 - 1. Let k(h) = 1437*h - 3. What is k(t(b))?\nAnswer: 2874*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 - 13*m - 5. Let f be x(-6). What is the nearest to 0.1 in -0.05, -2\/7, f?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -75038d3 + -3?\nAnswer: -75038d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 2 = -2*i + 5*l, 4*l - 12 = 5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2704 divided by 1\nAnswer: 2704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 341\/(-33))*(-6)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 325\/266 - 1\/133. Let w = -5\/7 + i. Which is bigger: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10 = 4*c, r - c - 72 = -73. Suppose -v = -3 + 8. What is the smallest value in v, -1\/7, r, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 1 + (7 - 2). Suppose -608 + 176 = -k*n. Suppose 0 = -17*t + 8*t + 144. Calculate the greatest common factor of n and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304 and 24700.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -53 and -104.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1452159 + -1?\nAnswer: 1452158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6 + 24969\/315. Let d = -80 + r. Let a = 6 - 8. Is d not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/a**(-1))\/a))**(-3)\/((a\/(a*a**(4\/3)*a))\/(a\/(a\/a**7))) assuming a is positive.\nAnswer: a**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/17, 329, 1\/42766, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1781 + -4)\/((-159)\/2862) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -2 - -4 - -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 3*m - 5. Let g(k) = -k**2 + k. Suppose -5*h + w + 14 + 0 = 0, -h = 4*w - 7. Let c(d) = h*g(d) + x(d). What is the units digit of c(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d - 5. Let u(q) = -q**2 - 4*q - 4. Let l(z) = 4*s(z) - 5*u(z). Let c(y) = 633 - 633 - 2*y**2. Determine c(l(x)).\nAnswer: -50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9541718.\nAnswer: 2, 227, 21017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 343475735 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2005*j + 651*j + 2 + 0 - 2 to the form f*j + r and give f.\nAnswer: -1354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -265 less than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26492779283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1751, -3498, -5245, -6992?\nAnswer: -8739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -838*z + 23366 = 210*z - 117*z + 738*z for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2*o - 22 = 0, -15 = 3*b + 309108*o - 309111*o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(432) - sqrt(3) - (0 + sqrt(108)))**2.\nAnswer: 50*sqrt(3) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.961 - -0.0526643?\nAnswer: -18.9083357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 803564920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a week in minutes?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31251 - -113422. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-16))\/((-2)\/(-4)). Let x = 15 - 15.7. Let j = -0.9 - x. Which is the biggest value? (a) j (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 279\/186 + 3\/2 - 42\/12. Which is smaller: -41\/137 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -401, -522, -643, -764, -885?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2)\/((-24)\/60*15\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001117924 to seven decimal places.\nAnswer: 0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -292523989.\nAnswer: -5\/292523989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from yyyytyykyykyyttmkmkm?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 436 - 3523\/8. Find the common denominator of i and -23\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2638279595 less than 10?\nAnswer: -2638279585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40080, -80110, -120138, -160164?\nAnswer: -200188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*908\/(-454)*114\/(-90)\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -478324 divided by 11\nAnswer: -43484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6838.357 millennia in months?\nAnswer: 82060284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 0 - 901*b + 900*b + 11*b**3 to r*b**3 + k*b + m + n*b**2 and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((4 - 1) + 7 + -1 + -7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - 4*f - 2*f + 6*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -519?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 + 6*f**2 - 9*f**2 + 5*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 11*r**2 + 3*r + 21. Let f be b(-4). Let p = f - 181. Solve -h = -p + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 305*k**2 - 2*k - 1. What are the prime factors of s(-1)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)\/n**(-2\/3))**(-8\/11)*(n\/(n**(-2\/9)*n))\/n**(-3)*(n**(-2)\/n)**43 assuming n is positive.\nAnswer: n**(-87644\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 225457 to the nearest one thousand.\nAnswer: 225000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpvkkvzkukuk. What is prob of sequence uz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144605, 144897, 145193, 145493, 145797?\nAnswer: 146105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169, 153, 105, 7, -159, -411?\nAnswer: -767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*f**6*j - 3*f**4*j + f**2*j - 4*f**2 wrt f.\nAnswer: -4920*f**3*j - 72*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106265*o - 106265*o + 9*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/354 in -2, 225, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2043223423 (base 5) to base 4.\nAnswer: 100103113031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2 + 15*z + 7. Let h be k(-5). Solve h*t = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5 + 9*x**2 + 12*x**3 - 4*x**4 + 11*x**2 - 6*x + 14*x = 0 for x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 366\/42 - (-4)\/14. Let p = 11 - k. Differentiate -3 - 4 - r**3 + 4 + p*r**3 wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 1\/12*k**4 + 0*k**3 + 0*k + 5*k**2 + 0. Calculate the remainder when 47 is divided by m(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/2*(-3030)\/(-45). Let x = h - -143. Let u = -19 + 34. What is the remainder when x is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.9, -147, -2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125221 - 22?\nAnswer: 125155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8133 + -8105. Solve -3*o = 3*l, 2*l + 14 = 5*o + z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -7 - (-6 + 1) - (-10 + 17).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 160306221 - 52?\nAnswer: 160306136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-16))\/((-480)\/72)*(144\/81)\/(-1)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12114360 (base 8) to base 16.\nAnswer: 2898f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (53 - 1) + -16 + 13. Let n = -46 + r. Solve -o + 5*p = -10, 0*o - 5*p = -n*o + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 6*d**2 - d + 1. What is the tens digit of x(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 131936 and 496?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1677 times 0.23641\nAnswer: -396.45957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00161516296 rounded to four decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 10*z = 5016. Suppose -16*a + z = 82. Which is bigger: 20 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2238)\/(-8)*16\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2867 and 18933104.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2 - 7. Suppose -4*t + b*c + 297 = 0, -5*c = -3*t - c + 223. Does 42 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t - 11 = -4*x, 0 = -t + 5*x + 10. Let s(y) = y - 3. Let b be s(t). Solve b*c + 3*h = -2*c - 10, h = -2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 0*k + 2\/7*k**3 + 4\/7*k**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 14 + 0)*(i**2 + 0*i**2 - 3*i**2) + 272*i - i**2 - 235*i + 2*i**2 + i**2 - i**2 - i**2.\nAnswer: 30*i**2 + 37*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from fihhfhhffiihuifii.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**2 - 34314*o - 445913 = 0?\nAnswer: -34301, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93068*f**3 + 93070*f**3 + 93069*f**3 + 93071*f**3 - 372279*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21142 - 1?\nAnswer: 21141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 - 13248*b**3 - 21938688*b**2.\nAnswer: -2*b**2*(b + 3312)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 874*f**2 + 23*f + 4. Let b(t) = t**2 + 3. Let h(s) = b(s) + p(s). What is the second derivative of h(j) wrt j?\nAnswer: 1750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*i + 86*i = -186*i + 428 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6) + (1 - (-188)\/(-3)). Let q be k\/(-1) - (-2 + 4)*-1. Let r = q + -61. Solve r*s - s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 7, 276?\nAnswer: 276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -377 + 939. Let p = -562.000000949 + q. Round p to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/11 in 0.01, 1, -1.9, -2, -423, -1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/7*(-1 + 2) + 534*440\/3696\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-10))\/(110\/(-275))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdk when three letters picked without replacement from ikidikki?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450*g**3 + 433*g**3 - 885*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*s**2 + 5*s**2 + 12*s**2 + (2*s - 2*s + 2*s)*(s - 2*s - s) - 5*s**2 - s**2 + 5*s**2.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-12)*(-1 - 1) - -4. Let m(h) be the third derivative of 5*h**4\/12 - h**3\/2 - h**2. Is m(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 + 14*v + 62)*(-2 + 1 + 3)*(3 - 3 - v).\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34757936?\nAnswer: 2, 2172371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -2279, -4, 0, -1 in decreasing order.\nAnswer: 5, 0, -1, -4, -5, -2279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 0 - ((-8 - (2 - 6)) + 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6948*m**2 + 4918*m + 43984995 wrt m.\nAnswer: 13896*m + 4918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*x = -9, -4*a + 2*x = -8*a + 2. Let m be a\/(-4)*4\/(-26). Sort 1\/4, m, 3\/2.\nAnswer: m, 1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105.0844cm to kilometers.\nAnswer: 0.001050844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1281?\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111 - 10?\nAnswer: 100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -23*r**2. Let s(v) = -7*v - 6. Let p(q) = 40*q + 35. Let j(u) = 6*p(u) + 35*s(u). Give m(j(k)).\nAnswer: -575*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1736922?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1921141 to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*q**5 + 2017*q**4 - 3*q**3 + q**2 + 78*q - 253?\nAnswer: 480*q**2 + 48408*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -26964, 2\/3, 1\/4, -0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -9 + (-8 - (7 + -6 + -37))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5003\/21525 + -19\/75. Let p = -27277\/574 - y. What is the common denominator of -41\/12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 6:31 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, and 1 s when three letters picked without replacement from {m: 11, s: 2, u: 2, p: 1}?\nAnswer: 11\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/5 and -34\/2501641?\nAnswer: 12508205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3409 = -13*u - 887. Put u, 1, 2 in descending order.\nAnswer: u, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*x - 11*x - 7*x + 6*x**3 - 19*x**3 + 12*x**3 + 12*x**2 as o + w*x**2 + k*x + g*x**3 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(5\/(-9)) - (-105)\/(-180)*-15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2928, 5931, 9016, 12183, 15432, 18763, 22176?\nAnswer: 25671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 3, -4 in decreasing order.\nAnswer: 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 0, 140, 4 in descending order.\nAnswer: 140, 4, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -2\/5, 3, 0.4, -3\/16672?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106437 is divided by 799?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Put 14998, -4, -7, 4 in decreasing order.\nAnswer: 14998, 4, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -74*q**2 - 522*q - 26. Let s be d(-7). Let w(y) be the first derivative of -31 + 11\/4*y**s - 1\/3*y**3 - 5\/2*y. What is o in w(o) = 0?\nAnswer: 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -12. Let d = 7.2 + y. What is the nearest to d in -5, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0463*-12.54\nAnswer: -0.580602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4) - (-31)\/(-148))\/((-162)\/216)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(1155\/6))\/(54\/135)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13614, 54397, 122368, 217527?\n\"Answer: 13594*k**2 + k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 12 = -2*p. Let n be (-13)\/(-4) - p\/16. Find the third derivative of g**4 + 0*g**4 + 5*g**4 + n*g**2 + g**2 wrt g.\nAnswer: 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 5. Let m be j(4). Let s be 3 - (-2 - (-76)\/16). Which is the closest to -1\/3? (a) s (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, w: 7}. Give prob of sequence yww.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -1 + (27 - 36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67137949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -301*o**3 - 12*o**2 + 77473?\nAnswer: -903*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 13, x: 4, h: 3}. Give prob of picking 1 t and 1 x.\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -q + 4. Suppose -q*r + 5*r - 28 = 0. Let w be 89996 - (3 + (r - 0)). Round w to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3\/5 + 94*h**2 - 323381*h\/5 - 64770 = 0. What is h?\nAnswer: -850, -1, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 2*b**5 - 7*b**4\/2 + 12*b**3\/5 - 4*b**2\/5 + 16*b + 66. Let w(m) be the first derivative of l(m). Find t such that w(t) = 0.\nAnswer: 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 202 - 201.99999863. What is k rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72819.\nAnswer: 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-698)\/((-4)\/(((-68)\/(-1))\/2)). Which is smaller: u or 5935?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/14 (b) 190\/7 (c) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 23. What is the least common multiple of k and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143477 (base 8) to base 6.\nAnswer: -1032051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 h, and 1 t when four letters picked without replacement from {x: 2, h: 2, u: 3, q: 3, r: 4, t: 2}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 525*j**3 - 543*j**3 - 4 + 5 - 2 + 1.\nAnswer: -18*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -182*g - 106. Let o(v) = -61*v - 39. What is -3*n(t) + 8*o(t)?\nAnswer: 58*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (980\/2401)\/((-3)\/(-42)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + -3 + 4 - (1 + sqrt(192)*3)) + -1)**2.\nAnswer: 32*sqrt(3) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3*y - 21*y + 57141. Is y a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfff when four letters picked without replacement from {b: 2, f: 7}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102822 = 4*i + m, -17*i + 20*i + 4*m - 77097 = 0. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/552)\/((25137\/912)\/(-147))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23616 is divided by 605?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -5*g**4\/4 - 1415*g**3\/3 - 49700*g**2 + 100820*g + 1414. Suppose f(k) = 0. What is k?\nAnswer: -142, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, -15, -487.\nAnswer: -487, -15, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*3\/(-12)*2*1. Let k(d) be the second derivative of -d**3\/6 + 24*d - 2. Let i(f) = -7*f + 2. What is q*i(w) + 6*k(w)?\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 97. Let y = o - 34. Suppose -k + 5*l + 54 + y = 0, 3*k = l + 230. List the prime factors of k.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1431933150463547.9999934 - 1431933533747758. Let d = 383284179 + w. Let r = -31 - d. What is r rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94405887*n**2 - 15260*n + 3517 wrt n?\nAnswer: 188811774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -558.03322 to zero decimal places.\nAnswer: -558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.9279, -27, -0.5 in descending order.\nAnswer: -0.5, -5.9279, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643*n + 921*n + 2149 = 20917 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.469737mg in kilograms?\nAnswer: 0.000004469737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.167 - 9.467. Let y = d - -9.1. Which is the nearest to -2\/3? (a) -0.8 (b) -1\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 223, -5 in ascending order.\nAnswer: -5, 28, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 54*v**2 - 16*v**2 + 2 - 7. Suppose 3*n = 2*f - 12, 2*f - n = -0*n + 8. Is u(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*s - 113 + 113 as t*s + k and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 - 20*t - 12. Let w(l) = -4*l**2 + 30*l + 18. Let v(i) = 7*j(i) + 5*w(i). Let n be v(-10). What is the derivative of n*k - 21*k + k + 14 wrt k?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355562948.\nAnswer: 2, 13, 1637, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7219 = 2*z - 3*o, -773*z + 770*z - 2*o = -10822. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewwweewweweee. What is prob of picking 2 e and 2 w?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 143340 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3. Let m = 3768\/5 - 751. Is l smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224 and 18592?\nAnswer: 18592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 455797346.9999938 + -455797279. Let t = c + -68. Round t to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*w + 2*g, -4*g = 2*w - 9 + 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**2 + 0*c**2 + 1 + c**2 + (2*c - 2*c + 3*c**2)*(2 + 8 - 2) as o*c + p + z*c**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6723*s + 94137 = -47046 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 - 20*h + 17. Let l be j(9). Let x = -3 + 1. Let y be (-406250)\/(-3)*(x + l). What is y rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1780871 + 85283 = 103*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 7*s + 10. Let x be s\/(-4) + (-366003)\/6. Round x to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -74 and -2.56.\nAnswer: -76.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 355008?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 12. Suppose -h*k + 30 = 3*k. Let w be 2\/k + (-3)\/(-9). Put 1, w, -1 in ascending order.\nAnswer: -1, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515668700 a multiple of 4956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1810 - 775. What are the prime factors of i?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, j: 4, d: 2}. What is prob of picking 1 d and 1 j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 8. Let t be 2*b\/12*4. Let u be -75*(t + 36\/(-15)). Calculate the highest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 + 6*f - 10*f + 4*f.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861171149.\nAnswer: 10739, 80191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8*d**3 + d**3 + 0*d + 5 - 11 - 4*d - d**2. Let q be t(-2). Let l = q + 79. Solve s + l = -0*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2410764 a multiple of 546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -51826086 divided by -5758454\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -478*n**2 - n + 8. Let f be l(4). Let m = -3199 - f. Suppose 5*v = 10*v - m. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 171683*g**3*k**3 - 82*g**3*k + 4*g**2*k**2 - 2*g - 16*k**4 - 8675*k**2 wrt k.\nAnswer: 1030098*g**3 - 384*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 54*m + 1725. Let n be s(-32). Sort -3\/4, -4, n, 5 in descending order.\nAnswer: 5, -3\/4, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 80 = -o, -2*g - 7 = -3*g - 3*o. Suppose -g = -5*u + 1. Let m(t) = t - 1. Let j(r) = -2 - 3 + 2 + 4*r. Give u*j(d) - 14*m(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 12:59 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*3237\/(-4316)*(-68)\/(-1).\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*l - 27 + 27 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -136\/45 + 20\/9. Let b(o) = 2*o**2 - 7*o + 3. Let c be b(4). Suppose -l = c - 5. Is l bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*c**2 + 24 + 6*c**2 - 24.\nAnswer: 47*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 + 159932\/(-24))\/(1\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 14 + 349*o + 14.\nAnswer: 349*o - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 10 = 4*f. What is the units digit of (12\/20)\/(2\/f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70.572+608760\nAnswer: 608689.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*r + 5*t, 317*r + t = 313*r + 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -19. Let y be ((-10)\/(-25) + 2\/20)*8. Solve -17 = -3*m + y*r - w, -5*r - 21 = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = -3*q - 3*t + 7*t, -2*q - 95 = -5*t. Let d be (-18)\/(-4) + q\/22. Solve 3*m - 5*c = -0*m + 25, 0 = d*m + c - 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (4 + -2 + 4 + (9 - 4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 19*p**3 - 19*p - 1516 + 64*p**2 + 25*p**3 - 25*p - 1388 - 40*p**3 = 0.\nAnswer: -11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.05232, -1, -2\/7?\nAnswer: -0.05232","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*b**3\/3 - 19228*b**2\/3 + 5774408*b\/3 + 1444804\/3.\nAnswer: 4*(b - 601)**2*(4*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2699994 = -j - 2*j. Suppose p - 3*q = -57616 - 842378, p + j = q. Round p to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -0.3, -0.18, -311?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 14829*h + 29646.\nAnswer: 3*(h + 2)*(h + 4941)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o, 0 = i - 0*o - 4*o + 11. Let f be (-9)\/(-6)*(-1252)\/i. Suppose -t + f = 72. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 240*p - 13. Let w(m) = -79*m + 4. Give -3*b(o) - 10*w(o).\nAnswer: 70*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (6 + -5 - (20 + 3))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 925, 1, 349, 3 in decreasing order.\nAnswer: 925, 349, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -13. Let d(s) = s**2 + 5*s + 3. Let f be d(-5). Let b = i + f. Solve 2*u + b*u = -12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-4) + 2 + 1. Let w(o) = 2*o**2 - 3*o. Let t be w(p). Solve 0*b = -t*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42105 and 11305?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-36) + (-3)\/(-1188)*-106. Is p at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1870266031?\nAnswer: 281, 6655751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12352574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403593914.\nAnswer: 2, 41, 97, 50741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15644, -30834, -46024?\nAnswer: -61214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.3 to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -793, -3182, -7163, -12736, -19901, -28658?\n\"Answer: -796*p**2 - p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83485623 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) - sqrt(126)\/sqrt(3)*6)\/(-2*sqrt(96) - sqrt(96)) + (sqrt(84) - sqrt(84)*1)\/(sqrt(12)\/(sqrt(12)\/sqrt(3))).\nAnswer: 5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*o = -t + 231, -2*t = 3*o - 171. Let r = t + -47. Suppose -c = 2*c - 255. What is the highest common divisor of c and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + (-3*sqrt(1377) + -1 - sqrt(1377)) + sqrt(1377)*-5*-5)*-6.\nAnswer: -1188*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2840*m - 2836*m - 180 + 180.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2. Let i(s) = 158077*s. Determine i(c(d)).\nAnswer: 316154*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 119 - 87. Let y = 35 - z. Suppose -52 + 292 = y*k. Calculate the highest common divisor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(132) + (sqrt(132)*-1 + sqrt(132))*4 - (sqrt(132) - (sqrt(132) + sqrt(132)*-1*-5))))\/(2*2*sqrt(1452)*-3).\nAnswer: -2*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - m - 4 = 0, -43*c + 39*c + 4 = m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35532 divided by -14?\nAnswer: -2538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 - -1463?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8791*b = -8777*b + 126 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + -12. Let i be l\/(-52) + (-2)\/8*-15. Find the third derivative of h**3 + 10*h**6 - 19*h**2 - h**i + 34*h**2 wrt h.\nAnswer: 1200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44864524 + 16008476. Round x to the nearest 100000.\nAnswer: 60900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 15*o - 17*o. Suppose -209*w = -214*w + 6125. Calculate the remainder when o is divided by (-8)\/18 - w\/(-225).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110001101000011100 (base 2) to base 5.\nAnswer: -423314111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158112 by 37.\nAnswer: -158112\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2581143, -2581152, -2581175, -2581218, -2581287?\nAnswer: -2581388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 8*m**2 - 34*m - 44. Give z(-11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 2. Let f = 16 - 10. Let y be c(f). Suppose y*s - 54 = s. 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: Let t(k) = -3*k + 59. Let p be t(18). Let j(a) = -a**3 - 3*a**2 - a + 2. Let m be j(-3). Solve 5*u + l = 12, m*l = -p - 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (569\/(-5690))\/(((-4)\/(-8)*4)\/(-4))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.6 + 13.5. Let z = 11 - p. Round z to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r - 31. Let l be s(9). Is 3 a factor of (-3*4\/8*l)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytt when three letters picked without replacement from {y: 5, t: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*x + 5*v, -x - 42*v + 40*v + 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 3. Suppose -247 = -4*j - 7*w + 4*w, -s*j + 113 = 5*w. Suppose -j = -5*v + 11. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601088003?\nAnswer: 23, 41, 637421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*g + 34 = 4*b - 489*g + 5, 4*g = -20 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 25488.427?\nAnswer: -331349.551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12740158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -3\/14*t**5 + 1\/15*t**6 + 0*t**2 - 4\/21*t**3 + 13\/42*t**4 - 1\/147*t**7 + 3*t + 0. Solve m(x) = 0 for x.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*q + 9 - 45, 5*a = -4*q - 50. Let w be (-1851)\/(-21) + 2\/a. Suppose -5*t + t = -4*r - w, 3*r = -5*t + 94. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*a = 66548, -13 = -2*a - 21. What is the highest common factor of x and 314?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -6\/91?\nAnswer: -6\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*s**2 - 500*s + 498*s - 14*s**2)*(-2099 + 2099 - s - 43*s**2) to the form o*s + d*s**3 + c + j*s**2 + g*s**4 and give g.\nAnswer: 1333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 15844 - 15837 = -z, 0 = -5*z + 3*v + 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40022 is divided by 102.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5176*u + 21*u**5 + 5176*u)*((-6 + 3 + 2)*(-3 + 1 + 0) - 7 + 10 + 2).\nAnswer: 147*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207511307 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k**3 - 18 + 20 - 2.\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 24 - 25. Sort 0.1, -1\/4, x in decreasing order.\nAnswer: 0.1, -1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -41. Factor m**3 - 14*m**2 + 19*m**3 - 4*m**j - 10*m**2.\nAnswer: -4*m**2*(m - 3)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -72548186.\nAnswer: 2\/36274093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11630*r**2 + 1997*r**2 - 15068*r**2.\nAnswer: -24701*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jff when three letters picked without replacement from vfzjfvvv?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 62053794 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15336 * 0.49\nAnswer: 7514.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 3*c = -168. Let f = c - -10. Let l(y) = -y**3 - 4*y**2 - 2*y. Calculate l(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -553, -1242, -2217, -3484, -5049?\nAnswer: -6918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/71325 and 107\/750.\nAnswer: 713250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 366 or 1097\/3?\nAnswer: 366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 28?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o + o)*(o**2 - o**2 + 2*o**2) + (4*o - 4*o - o**2)*(0*o + o + 7*o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15351 = -3*f - 2*y - 15365, f = 4*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 1)*(-56*r - 42*r + 68*r + (-r - 2*r + 2*r)*(-1 + 4 - 2) - 4 + 4 - 2*r) to the form l*r + z and give l.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 - z. Let h(o) = -o + 11. Let r be h(12). Let s be d(r). Suppose 0*n + 20\/7*n**2 + 30\/7*n**s + 40\/7*n**3 - 2\/7 + 8\/7*n**5 = 0. Calculate n.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6608085.\nAnswer: 3, 5, 11, 29, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(51)\/(1*sqrt(3)) + (sqrt(17) - (sqrt(17) + sqrt(119)\/sqrt(63))).\nAnswer: -5 + 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 7*f - 28. Let p be t(-10). Solve p*j + 18 = -5*k, 0*j - 12 = 2*k + 2*j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + d**2 + d + 1. Let h be x(-2). Let y be (-1)\/2 - h\/(-2). What is the third derivative of -23*b**2 - 24*b**2 + 32*b**2 - 32*b**y wrt b?\nAnswer: -1920*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*t + 48*t + 216 = 0. Let h = t + 72. Is h bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.9 (b) -1 (c) -1273\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o**2. Let p(k) = k**2 - k + 1. Let a(y) = -y**2 - 5*y + 7. Let n be a(-6). Let h(m) = -m**2 - m + 1. Let z(r) = n*p(r) - h(r). What is s(z(d))?\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**6\/120 - k**5\/40 + k**3\/12 + k**2\/8 - 10*k - 12. Let m(q) be the first derivative of j(q). Solve m(w) = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.36627, -2, 3, 1\/4, 179?\nAnswer: -0.36627","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 247 - 522. Suppose 0 = 5*h + 3*n + 2677, -n + 3*n = -8. Let k = d - h. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4101, 3913, 11933, 19965, 28015?\n\"Answer: d**3 - 3*d**2 + 8016*d - 12115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d**2 - 2*d + 5. Let z(c) = 9*c**2 + 3*c - 7. Calculate 7*u(o) + 5*z(o).\nAnswer: 3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 474*s**2 + 250320*s + 20266400.\nAnswer: -2*(s - 517)*(s + 140)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4)\/(y\/y**(-3\/4))*(y\/y**(-2\/5))**(-4\/7))**(2\/93) assuming y is positive.\nAnswer: y**(-28\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 114 - -40315?\nAnswer: 40432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -44, 26, -1, 0.7, -10?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.88 + -0.39. Let f = r - 0.5. Let w = f - -0.41. Is -1\/5 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -380 - -668. Let o be 4\/(-6) + 174\/z. Suppose -6*p = -4*p - 2. Which is smaller: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 39. Let h be 6\/g + (-6)\/(-21). Suppose h*a - 2*a + 5*v = 4, 0 = 4*a + v - 14. Solve 9 = -a*q - 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1265 + 899. Let d = -363 - u. What is n in 0 - 2\/17*n**4 + 6\/17*n**d + 2\/17*n - 6\/17*n**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (14 - (103 + -53)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2312222319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22699 is divided by 264?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 119\/6 + -821\/42. Factor 10\/7*z + 4\/7 - i*z**4 - 2\/7*z**3 + 6\/7*z**2.\nAnswer: -2*(z - 2)*(z + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 789 + -792. Let q be (-1)\/4 - 33\/20. Let l = 267\/130 + q. Which is the closest to -0.1? (a) l (b) m (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + (sqrt(225)\/sqrt(5) + sqrt(5) + sqrt(30)\/(sqrt(12)\/sqrt(2)) - (5 + sqrt(45)\/(sqrt(9)*4))))**2.\nAnswer: -57*sqrt(5)\/2 + 1965\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1856\/5)\/16)\/(640\/800).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9*((-4)\/(-3) + -1). Let t = -1 - -2. Let n be t*-2*(-3 - 1). Solve a = m + n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 2*s**2 + 0*s)*(-4 + 6 - 4) + (s - s - 2*s**2)*(4 - 2 + 2).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4156 - 2446. Calculate the highest common factor of 270 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 589433 * 3.\nAnswer: 1768299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 + 2*i**4 + 0*i**4 + (-2*i + 2*i + 3*i**2)*(-i**2 - 2*i**2 + 6*i**2))*(-4 + 3 + 3).\nAnswer: 22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -204 + 201. Sort 3, y, 4, -2 in descending order.\nAnswer: 4, 3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + (13 - 18 - -19 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 773674 and 10369678?\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liliixxxliilxi. What is prob of picking 1 l, 1 x, and 2 i?\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 59*k + 1792. Does 2 divide z(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11630224 (base 8) in base 12?\nAnswer: a3a384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 217430000 to the nearest 1000000.\nAnswer: 217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70110 and 827830?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044919 rounded to 4 dps?\nAnswer: 0.0449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxxx. What is prob of sequence yx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 6. Let f be u(6). Suppose -k = -4*k - f. Let r = 14 - 17. Which is greater: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2 >= 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by 7.\nAnswer: -64\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j\/(j*((j*j**(-17))\/j)\/j))\/(j**(-11\/6)*j))\/(j**30\/j**(8\/5)))**(4\/7) assuming j is positive.\nAnswer: j**(-454\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/4 - (1 - 3). Suppose -3*t + d = -9. Solve -t = o - 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -3 + -15 - 30?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of (-30)\/(-20)*10820\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25461\/89089 - 1\/12727. Let s be (-2)\/(2 - (-6)\/(-5)). Let x = 0.2 - -4.8. Sort -1.4, k, x, s in increasing order.\nAnswer: s, -1.4, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 393853 to the nearest one thousand.\nAnswer: 394000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 7*j - 12. Suppose 2*m + 2*m = 80. What is the remainder when u(6) is divided by (75\/m)\/((-3)\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.53896 * 0.3.\nAnswer: -0.161688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**14)**44)**(-34))**29 assuming d is positive.\nAnswer: d**(-650760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -143, -46, 101, 304, 569, 902?\nAnswer: 1309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/36 and -103\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2. Let i(o) = -8960953*o. Determine q(i(s)).\nAnswer: 240896036004627*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*p - 8 = -5*t, -2*p = 2*t - 8. Suppose -2*l + t*w = -l - 14, 5*l = -3*w + 18. Calculate the highest common divisor of 54 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.462 and 57.58056.\nAnswer: 58.04256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/15*(11 - 1). Suppose j + j - 304 = -o, z*o + 324 = 2*j. Does 30 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -1, 2, 103, -7 in descending order.\nAnswer: 103, 2, 1\/2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -34 + -1 + -1 + 1. Let g = 65\/2 + z. Let q = -492 + 487. What is the biggest value in q, -2\/5, g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/8)*z\/z**5*z**(-2\/29)\/z**(-3\/5))**48 assuming z is positive.\nAnswer: z**(-18054\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 + 0.046.\nAnswer: -68.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 2. List the prime factors of f(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/1 - 2400\/(-150). Solve 7 = 9*t - m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**5\/50 - v**4\/5 + 4*v**3\/5 - 8*v**2\/5 - v. Let u(w) = 0. What is w?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42298 + 42319. Solve -d*y - 360 = 24*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 12. Let k be o(4). Let b be (-4)\/k*2 + 8. Suppose b*l - 13 = 1. Solve 0 = -2*p - 2*p - l*a + 6, 2*p + 5*a + 17 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 5\/8 (c) 0.4 (d) -5 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 174*z - 3*z**2 + 5*z**2 - 3*z**2 + 12481*z**3 - 12479*z**3 to the form l*z + w + j*z**2 + u*z**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260032416 by -86677472.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 - -19*32344\/4446?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + x**2 - x - 2. Let r(p) = 10*p**3 + 8*p**2 + 162*p - 16. Determine r(c) - 8*t(c).\nAnswer: 2*c**3 + 170*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = -112 + 76 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1834168771.\nAnswer: 29, 281, 225079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16806)\/21 + 4\/14. Let h be (5\/(-3))\/((-3)\/(-45)). Let f be a\/(-2 + (-48)\/h). What is f rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*l - 1495, -l - 3*l - 5*q + 1196 = 0. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/24*((-186030)\/(-1484))\/(-195).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (68\/(-28) - -3) + 1306\/(-252) and 35\/156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23387590033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4484\/(-171) + (-4)\/(-18). Let u = j + 31. Let i be (-1 - 0)*2\/6. Put i, u, 3 in ascending order.\nAnswer: i, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000237821435 to six decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 6. Suppose 2*v = -2*l + 14 - 2, -4*v = 3*l - 24. Let p be r(v). Suppose p*o + 4*o = 60. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5044.4904 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Suppose -4*x + 20 = -2*f, m*f - 4*x + 4 = -16. Solve -j + 1 + 0 = f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -118*p + 1225 - 163 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + -6 + (-23 - -40)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14370 is divided by 1741.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*w = 993, -w + 1019 - 26 = 3*b. What is the remainder when b is divided by 284?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5594 - -28097\/5. Let h = 26 - o. Suppose -18 + 21 = s. Which is bigger: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 112*w - 21. Let n(c) = -225*c + 45. Determine 13*d(b) + 6*n(b).\nAnswer: 106*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p + 5. Let q be i(-4). Suppose -4*m = -f + q, -2*f = -0*m + 4*m + 14. Let o be ((-2)\/(-2))\/(f - 2). Is -1 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -z - 5*s - 41, -3*s = 2*z + 44. Let b(o) = 12*o + 113. Give b(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30362987\/80920 + 15009\/40. Calculate the common denominator of 41\/20 and n.\nAnswer: 40460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58279 - -58381.913. Let x = i + -103. Let o = -0.1001 - x. Round o to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 10 = -4*a + 3*p, 0 = 2*a + 4*p - 6. Sort a, -4, 5 in increasing order.\nAnswer: -4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 2900205 + 2040328 - 3*g.\nAnswer: -g + 4940533","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52853 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0152 - 16.9952. Let m = z + 17. Which is the second smallest value? (a) 0.3 (b) m (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjjmmjjjmmjjm. What is prob of sequence mm?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 5:19 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -648200 rounded to the nearest 10000?\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.248206 centuries in millennia?\nAnswer: 0.3248206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 8\/67533?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*s**2 + 0*s - s + 2 + 72*s**2 - 32*s**3 - 11 to the form p*s + a*s**2 + i + j*s**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000485025518 rounded to seven decimal places?\nAnswer: -0.0000485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*1*1\/(-7). Let v be (-4)\/14 - 13\/28. What is the smallest value in w, v, 2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, i: 3, c: 6, j: 1}. Give prob of sequence jci.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 10 + 2. Let o(b) = b**3 + 5*b**2 + 3*b - 4. Let l be o(y). Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -309\/160 + -15\/32. What is the common denominator of a and 4\/(-1) + (-1328)\/(-96)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 not equal to 1439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 4701738?\nAnswer: 23508690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 10922*u + 5*u**2 - 5463*u - 5430*u + 1. What is z(-3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9105*s + 129240 = 10900*s for s.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22926901.\nAnswer: 19, 1206679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(4))\/(-4*sqrt(8)\/sqrt(4)) - (sqrt(50) + 2 - (sqrt(162)*-3 - sqrt(162))).\nAnswer: -165*sqrt(2)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-26) + 2580\/(-780). Sort s, 7, -7, 9.\nAnswer: -7, s, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h*i - 507*h - 2*i**3 - 6*i**2 wrt i.\nAnswer: h - 6*i**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**2 - 4*p - 2. Let n be a(-1). Suppose 13*z = 18*z - 560. Suppose -h + n = h, 5*q + 4*h - z = 0. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 34902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 3. Suppose 5*z - 5*j + 5 = -0*j, 0 = -3*z + j + o. Suppose 26 + 30 = 2*i. Solve 4*t = 4*r + 36, -2 - i = -5*t + z*r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 220?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w**3 + 14*w**2 - 9*w + 19. Let l(y) = -3*y**3 + 9*y**2 - 2*y**2 + 12 - 3 - 5*y. Let v(a) = -2*f(a) + 5*l(a). Give v(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 0*a**5 + 0*a**2 - 1\/3*a**6 - 1 + 0*a + 0*a**4 + 2\/3*a**3. Find the third derivative of g(r) wrt r.\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(sqrt(242) + sqrt(242) + -1 + sqrt(242) + 4 + -3 + sqrt(242) + 2 + sqrt(242)))**2*-6*3.\nAnswer: -2724299 - 99000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 + 50*f - 15. Let u be a(11). Which is greater: 291 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 1\/1126158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6\/5*p**3 - 2314\/5*p + 696\/5 + 676\/5*p**2 = 0. Calculate p.\nAnswer: -116, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - -10. Suppose -w + 5*w = b. Suppose 186 = w*j - d, 6 - 60 = -j - 4*d. Does 38 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66686882?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -67.6, -4, -1 in increasing order.\nAnswer: -67.6, -4, -1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 368169861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**2\/2 + 13*p - 63. Give u(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 6028*r**2 - 319456*r - 1484 = 0?\nAnswer: -7\/1507, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 9*k**2 - 9*k - 14. Give q(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/992 and -59\/124.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 28294128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -781 + 391 + 414 + 58*o**2 wrt o.\nAnswer: 116*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001986183 rounded to 6 decimal places?\nAnswer: 0.000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, 19, -55, 24 in increasing order.\nAnswer: -55, 19, 24, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1253, -2493, -3723, -4937, -6129, -7293, -8423?\n\"Answer: p**3 - p**2 - 1244*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + -2 - (-1 + 1). Suppose 55 + 385 = 10*v. Let z = 45 - v. Solve -2*w + z - y = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -51 + -22 - -25\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1544120 is divided by 53226.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**3 - 14*u**2 - 12*u + 1. Is n(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 12*c**2 - 5*c - 23. Let v(m) = -m + 1. Let a(k) = f(k) + 6*v(k). Suppose 6*l + 16 = 14*l. What is the remainder when a(13) is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.28 + -0.12. Which is the biggest value? (a) 0.4 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*h + 1. Suppose -1362 = -h*l + 3*b, -2*b - 2*b = -12. Let y = l - 293. What are the prime factors of y?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 56 = -1369*o + 1365*o, -5*q + 175 = 11*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j + 52 = 132 + 205 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - 91 - 75 = -26 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 2:06 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r - 28. What is l(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 9. Let c be l(4). Let p = -29398 - -29398.4. What is the nearest to 2 in c, p, 3\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*i + 6*j - 12, 0 = -5*i + 5*j - 15. Suppose i = 2*v - 6*v + 12. Let n = 2.1 - 2. Which is the closest to n? (a) 0.5 (b) v (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -70, -121, -192, -283, -394?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - -19. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y - y**2)*(4295 - 1796 - 345).\nAnswer: -2154*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*c - c. Suppose 7*v - 4*v + c = 0, 3*t + 1 = -4*v. Suppose 3*z - 5*b = 55, -b + 21 = t*z - 24. Solve -10 = 4*p + z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -720 - -1757. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -15, -27, -43, -63?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y. Let v(x) = 3*x - 5. Let l(r) = -r + 2. Let z(p) = 15*l(p) + 6*v(p). What is z(k(s))?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d = -13 + 32 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25709134*a*l**2*x + 10*a*l**2 - 28988*a wrt x?\nAnswer: 25709134*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**3 + 4*a**2 + 4*a - 5. Let l(z) = -z - z + 4*z**3 - 3*z + 13 - 5*z**2 - 7. What is -4*l(m) - 5*x(m)?\nAnswer: 4*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 30501?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 25*b**2. Let q(p) = p**2 + p - 1. Let x be q(-1). Let v be j(x). Suppose v = -3*r + 4*r. What is the highest common divisor of r and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32150180 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) - (sqrt(931) + -2 + -3) - sqrt(931).\nAnswer: -7*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 344, -9, 9.1, 43 in descending order.\nAnswer: 344, 43, 9.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12211, 24409, 36593, 48763?\nAnswer: 60919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.06976 - 1.82\nAnswer: -1.88976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/(-25))\/6 + (-2218)\/(-210). Let c = -31\/3 + s. What is the fourth smallest value in -5\/2, c, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.6328 and -46.9.\nAnswer: -47.5328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 487*v - 484*v = -36, -2*x = -5*v - 18. Let j(f) = -f**3 - 5*f**2 - 7*f - 6. What is j(x)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5\/7 + 116*z**4\/7 + 1102*z**3\/7 - 1676*z**2 - 163200*z\/7 - 272448\/7 = 0. What is z?\nAnswer: -43, -12, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/3, 813.\nAnswer: -1\/3, 0.4, 813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(68) + 2 + (2 + sqrt(68))*-6 - (((2*sqrt(68))**2*5 + sqrt(68) - (2*sqrt(68)*-2)**2) + -3).\nAnswer: -279 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80363758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60684)\/1233908 + 938\/9150.\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/((-5)\/(60\/3))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 3*d**2\/2 + 5*d + 4. Let z be q(2). Solve 1 + z = 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3 - 3230*y**2 = 0.\nAnswer: 0, 1615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2*n)*(1 - 1 + n**2) + (-5 + 1 + 3)*(-n**3 + 3 - 3) - 2*n**3 + 5*n**3 - n**3 + 6*n**3 + 2*n**3 + 7*n**3)*(6*n - 8*n + 3*n).\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 188926*g - 188969*g - 2193 for g.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128c (base 14) to base 7.\nAnswer: 12335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 4. Let w be o(4). Let b = 4 - -1. Let x be (b + -5)*(-2)\/6. Solve -5*c = n - 2, x = 4*n - 2*c - 3*c - w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -271*u + 695 - 695 - 3*u - 2*u + 0*u + (-1 + 1 + 2)*(3 - 3 - u) + 0*u + 0*u - 2*u.\nAnswer: -280*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 36*j**2 + 258*j - 280. Calculate x(12).\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**3\/3 - 100*u**2\/3 = 0?\nAnswer: 0, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -31, -95, -217, -415?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 8. Let s be 9\/3 + 3 + -18. Let y be k(s). Solve y*f + 1 = 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92077610 and 2949?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(252) - (0 + sqrt(252) + 0)) + (sqrt(252) - -4*sqrt(252)*2) + sqrt(252) + -3)**2.\nAnswer: -360*sqrt(7) + 25209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*b**3 - 265683*b**2\/2 - 1827471*b\/2 - 1296009 = 0. Calculate b.\nAnswer: -39\/8, -2, 11077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 l when three letters picked without replacement from nvlngnlnnvnlvnvv?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**(-1\/3)*o)))**(-4\/17)\/(o\/o**(-1\/4)*o*o)**(-3\/16) assuming o is positive.\nAnswer: o**(1477\/3264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -4814 (b) -1 (c) 0.09 (d) -1\/3 (e) -2\/11 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = -5*u. Let t(g) = -2*g**3 - 4*g**2 - g + 2. Let h be t(u). Suppose -3*j + 23 = 35. Sort j, 2, h in ascending order.\nAnswer: j, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 27*p**2 - 54*p - 68. Calculate the smallest common multiple of d(-2) and 74.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 31 = 5*j, -4*t + 2*j + 72 = j. Suppose -4*n = -51 - t. Calculate the greatest common divisor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 12 + 19)*(3*p - 5*p + p) + (-1 - 1 + 0)*(-2 - p + 2) + 3*p - p + 0*p to the form y*p + m and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1106 and 369404.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-180)\/(-210)*35\/10. Solve -5*a = -v*w + 19, 4*a = -2*w - 4 - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.12 and -6736025065.\nAnswer: -6736025062.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 480, 862, 1240, 1614?\nAnswer: 1984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17237 + -4099489.9.\nAnswer: -4099490.07237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14053.53255 + 14052. Let m = q + 1.2126. Let a = 0.32 + m. What is a rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*i = 189, d + 772 = -3*d + 4*i. What is the remainder when (d\/3)\/(2\/(-6)) is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/666 and -35\/76728.\nAnswer: 8516808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*w = 1289, -n + 0*n - 640 = -3*w. Let z = -421 - n. Let g = z + -141. List the prime factors of g.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 278, 546, 816, 1088, 1362, 1638, 1916?\n\"Answer: h**2 + 265*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.57 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1192572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 17*f - 51756. What are the prime factors of f?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(612) - sqrt(612)*4) - (3 + sqrt(17) + -2 + 0)) + -4 + -1.\nAnswer: -19*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*(-147)\/((-8379)\/(-570))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 0.052, 2\/11, 3048?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 10*b - 21. Let j be v(12). Differentiate j*r**4 + 3*r**3 - 23*r**2 + 0*r**4 + 171 - 23 + 23*r**2 with respect to r.\nAnswer: 12*r**3 + 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2 - 9. Let l(q) be the third derivative of q**4\/24 + 22*q**2. Calculate l(n(j)).\nAnswer: -3*j**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 23. Let k = 27 + i. Calculate the remainder when (-6)\/(2 + (-125)\/55) is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6\/9)\/(-228*(-28)\/9450) and (99\/84)\/11*30.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1346 = -7*x + 3362. Suppose -4*z + 8*z = x. What is the highest common factor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u + 21 = -8*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 509 - 223?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 79355022 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1)\/r*(r\/(r\/(r\/r**(2\/17))))\/r*r assuming r is positive.\nAnswer: r**(-19\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -128\/7. Let v = -558 - -558.4. What is the third smallest value in 0.08, m, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2257*l - 1866*l - 1355*l.\nAnswer: -964*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322484 is divided by 35831?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60644 is divided by 3592?\nAnswer: 3172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 374181666?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5 - 1706*t**4 + 11756*t**3 + 74448*t**2 = 0. What is t?\nAnswer: -4, 0, 11, 846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -244048.6 rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -g + 2*a + 30, -48 = -g - 2*a. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**3 + 8 - s**3 - 4*s**3 + 12*s**3 wrt s.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3 - 3*p**4 - 2 - p**3 - 2. Let g(w) = -w**4 - w**3 + w**2 - 1. Let v(f) = g(f) - y(f). Find the third derivative of v(u) wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 2, o: 1, g: 2, w: 1, h: 1}. What is prob of picking 1 h and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 392825320897.3 - -36?\nAnswer: 392825320933.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 106312861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**3 + 2*y + 3*y**2 - 5 + y - 7*y. Let g(k) = -7*k**3 - 4*k**2 + 5*k + 6. Suppose -109 = r + 10. Let x = 115 + r. Calculate x*g(f) - 5*b(f).\nAnswer: -2*f**3 + f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sllssml. Give prob of picking 3 l and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134928 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-238)\/(-8204))\/((-850)\/200)?\nAnswer: -2\/293","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2. Let g be 95\/30 - 8\/(16\/3). Let u(n) be the first derivative of 0*n + g*n**3 + 0*n**2 + 4. Calculate q(u(r)).\nAnswer: 75*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 3*g - 2. Let d be s(1). Suppose 6*o = 2*o, 4*n + 5*o - 128 = d. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Let t(s) = -s - 1. Let h(v) = 9*v**3 - 5*v**2 + 11*v + 7. Let u(x) = -14*x**3 + 8*x**2 - 17*x - 10. Let l(k) = 8*h(k) + 5*u(k). Determine -l(r) - 4*t(r).\nAnswer: -2*r**3 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**2 - 3*w**2 - 5*w**2 + 2*w**2.\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -56, 4, -5, -177 in descending order.\nAnswer: 4, -3, -5, -56, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 18*b**2 + 35*b + 12. Let w be p(-16). Let t = w - -34. Let l(g) = 398*g**2 + 6*g + 3. Is l(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120877695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from ddddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -109*r + 6*r + 1144204 + 350120. What is the thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 3*j + 3*j)*(3 - 5 + 3) - 5*j + 3*j - 8*j - 5 + 5 + 2*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6815 - 11190. Let w = n + 35051\/8. What is the common denominator of w and 5300\/220*(-2)\/(-10)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 294\/84 - (6 + -2). What is the second biggest value in k, -3, -4\/5, 73?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.7 and -52.\nAnswer: -53.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*f + 3*f + 29 - 34 to b*f + t and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1251)\/(-556)*2\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*b**3 - 5*b**2 - 964*b**3 + 4*b**2.\nAnswer: -675*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 5*t**2 + 5*t - 3. Let w be o(-6). Suppose 3*l - 8*l = -3*g - 20, g - w*l + 12 = 0. Solve 0 = -g*c + 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2583090?\nAnswer: 2, 3, 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 1\/40*x**4 - 1\/3*x**3 - 7\/20*x**2 + 98\/5*x - 201. Find y, given that i(y) = 0.\nAnswer: -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -10*s + 24 - 24 + 3*s. Let q(p) = p**2 + 8*p + 8. Suppose -z + 0 - 5 = 0. Let v(w) = w**2 + 5*w + 5. Let n(h) = z*q(h) + 8*v(h). Calculate r(n(c)).\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and -2234\/1159 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 101210 (base 3) in base 5?\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17810414 + -4?\nAnswer: 17810410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f**9\/f*f)**22 assuming f is positive.\nAnswer: f**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/16, -3, 0.3?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7 + 24*p**2 - 10*p**2 - p - 4*p**2 - 6*p**2. Let d(n) = n**2 + 1. What is -5*d(g) + f(g)?\nAnswer: -g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 993896, 1987799, 2981702, 3975605, 4969508?\n\"Answer: 993903*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41bb2 + 3?\nAnswer: 41bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244941958.\nAnswer: 2, 19, 6445841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18443 (base 12) to base 15.\nAnswer: -a65c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286 by -1274.\nAnswer: -11\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -648909 times 0.2?\nAnswer: -129781.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 12:29 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126 + -66. What is the remainder when (n - 0) + 8\/(-4) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3484001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2 + 22 = 4*u, 3 = 3*r - 3*u. Solve 24*p**3 + 10*p**2 + 5*p**4 - 351 - 4*p**r + 336 - 20*p = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17\/37 - 2291\/74. Suppose -4*z = -7*z + 6. Find the common denominator of 666\/(-120) + (z - -1) and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 107, 173, 277, 431, 647, 937?\nAnswer: 1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 27*y**2 - 8*y - 5. Let b(o) = 28*o**2 - 7*o - 6. Let u(d) = 5*b(d) - 6*l(d). What is the second derivative of u(q) wrt q?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*m = 22, 8 = 2*b + 2*b + m. Suppose -5*p = -0*p + 1080. Let h = -1946\/9 - p. Sort b, h, -1\/5 in ascending order.\nAnswer: h, -1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 728725 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -26247?\nAnswer: -26212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**7\/840 - o**6\/240 + o**5\/240 - 3*o**2\/2 + o. Let i(n) be the first derivative of k(n). What is v in i(v) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.2 - 6.5. Let j = 12.69999874 + w. What is j rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 l when three letters picked without replacement from flcllfllfjfljfccjf?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 8953*n - 25897*n.\nAnswer: -34850*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/9472 and -149\/8304?\nAnswer: 4915968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*r + 5*r**2 - 249*r.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400 = -115*t + 1090 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 494 and 1833?\nAnswer: 69654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -678.2 and 0.6.\nAnswer: -677.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26269085?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 68364 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 6. Let y be o(3). Suppose y*b + 43 = 2*c, -3 = -c - 3*b + 5. Let t = 242 - 237. Solve 5*p = m - 13 - c, -t*m + 50 = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*z - 1971 = -5190 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -42. Let l be (136*6)\/2 - 2. Suppose 15*n - r*n = -l. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -915, -1813, -2699, -3567, -4411, -5225?\nAnswer: -6003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 338 and 12423346.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 17.78508g?\nAnswer: 0.00001778508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - t + 10 = 2*t, h + 5*t = 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 3*h + 9 = 0, 29*h = 34*h + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a**2 + 9*a**2 + 3*a + 50*a**3.\nAnswer: 50*a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7497 - 7495. Solve 2*n + 3 = -k, n = i*n - 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -179*q + 26. Let t(g) be the first derivative of q*g + 3\/4*g**4 + 8 + 0*g**2 + 22\/3*g**3. Find the third derivative of t(i) wrt i.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*u - 2820 = 3*u - 217*u for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -292, -577, -856, -1123, -1372, -1597, -1792?\n\"Answer: y**3 - 3*y**2 - 283*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h + 243 = 45. Find the first derivative of -22 + 7*c + h*c - 18*c - 23*c**3 wrt c.\nAnswer: -69*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5 = 4*y, 0 = -5*y - 3*m + 11 - 1. Suppose 5*l - 4*l + y = -2*v, v + 3*l + 5 = 0. Is (-2 - 11)*v\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*a + 95280 - 329871 = 0, 5*q + 586434 = 2*a. Let z = q - -168688. Round z to the nearest one thousand.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 9*x**2 + 6*x - 1. Let h be t(6). Calculate the common denominator of (1 - h\/(-8))*2 and -43\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*m**3 - 85*m**3 - 39479870 + 39479870.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12, 5, -16, -57, -124, -223, -360, -541?\n\"Answer: -o**3 - o**2 + 3*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*g**2 + 10*g**2 - 26*g**2 in the form x*g**2 + l*g + z and give x.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2540008272 to the nearest integer?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48635*s**2 - 5*s - 51452*s**2 + 5*s to the form i*s + y*s**2 + j and give y.\nAnswer: -2817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**3 - 2175*k**2 - 122035*k - 1229865 = 0.\nAnswer: -371, -51, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-1404)\/24)\/(-39))\/((-63)\/(-546))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1354 - 12*d - 1354.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 22423.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -40\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = 11*l - 13*l - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14670 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b**2 - 12*b + 3. Let a(k) = -k**3 + 4*k**2 + 11*k - 2. Determine -3*a(x) - 2*u(x).\nAnswer: 3*x**3 - 2*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 26*r - 33. Let w be x(-23). Let d(g) = 74*g - 8. Let c be d(-7). Let i = w - c. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39756.\nAnswer: 2, 3, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -652 + 662. Find the first derivative of -35*k - a*k + 6*k - 16 - 2*k - 29 wrt k.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1980\/(-1296) - 14\/(-8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/(-20))\/(1\/(-5)*-1). Solve -16 = 4*a - 4*s, x*a + a + s + 26 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23168 and 96.\nAnswer: 69504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 + 3*q - 13. Let m(z) = 3*z**2 + 5*z - 25. Let c(d) = 3*m(d) - 5*w(d). Let a(i) be the first derivative of c(i). Let b(p) = -p. Give b(a(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 7:20 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 709*f**2 + 34*f. Let r(n) = -15*n. Determine m(r(k)).\nAnswer: 159525*k**2 - 510*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9 + -2)\/(-1)*(-666)\/740.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -347 - 1235. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -9. Let c be ((-2)\/(-19))\/(-12 + 13). Let j = c - -28\/95. What is the closest to j in k, 3\/2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 + -34. Let l = r + -19. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49453, -98198, -146939, -195676, -244409, -293138?\nAnswer: -341863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {q: 3, p: 1, k: 5, t: 9}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 2*k - 38*k - 106*k - 10275 for k.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p**3 - p**2 - p + 12. What is the hundreds digit of l(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*14 - (-196)\/(-42)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 602, 1209, 1816, 2423, 3030, 3637?\n\"Answer: 607*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1444 and 6308?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmmaammmamm. What is prob of picking 1 a and 2 m?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56 + 56 - 5*k + (-25*k + 28 - 28)*(0 + 2 + 1) + (-2 - 3 + 4)*(-2*k - 2 + 2).\nAnswer: -78*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*g**3 - g**3 - 42*g**3 - 18*g**3.\nAnswer: -29*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 44.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313 (base 14) to base 8.\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271, 265, 259, 253, 247, 241?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*1*55\/1815?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32559 is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2229.6 - -2230. Which is the third smallest value? (a) -5 (b) -9 (c) -4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a969d + -2?\nAnswer: -a96a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1214*d + 436676 - 538652 = 0 for d.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -412 (b) -3\/8 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 - 154 + 1857*z - 1857*z in the form o*z + k + v*z**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1309\/(-55) + 24)\/((-4)\/(-30)). Let z be (-1)\/14*(1 + 1). Which is the second biggest value? (a) j (b) z (c) -0.1 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 2*o**2 - 4*o)*(9 + 13 - 24 + 3*o).\nAnswer: 6*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/3 + 2752*o**4\/9 + 3688*o**3\/9 - 3680*o**2\/9 = 0. Calculate o.\nAnswer: -2, 0, 2\/3, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**4\/12 + 2*s**3 + 27*s**2\/2 + 257*s. Determine h(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3218, 6280, 9344, 12410, 15478, 18548, 21620?\n\"Answer: a**2 + 3059*a + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u - 9 = 0. Let c(f) = f**3 + 6*f - 3*f**2 - 2*f - 2 - f**2. Let y be c(u). Let v(i) = 2*i**2 + 2*i + 6. Let o(x) = x**2 + 1. Give y*v(h) - 4*o(h).\nAnswer: -2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1. Suppose -17 = -c - 3*m + m, -2*m + 31 = 3*c. Let u be -4 - (c + (-228)\/20). Put 0.2, u, b in decreasing order.\nAnswer: u, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**0*b*b*b\/b**(-18))\/(b*(((b\/(b\/((b**(8\/5)\/b)\/b)))\/b*b)\/b)\/b*b)**24 assuming b is positive.\nAnswer: b**(158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -17. Let x be (p\/(-8))\/(2\/(-8)). Factor -l**2 - 6*l**5 + 5*l**2 - 8*l**4 + 9*l**3 - x*l**3.\nAnswer: -2*l**2*(l + 1)**2*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 74*k - 74*k - 22*k**2 + (-4*k - k + 3*k)*(-3*k - k + 3*k) - 4*k + 4*k + k**2 + 2*k**2 - 2*k**2 + 3*k**2.\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32755937, 65511885, 98267841, 131023805, 163779777, 196535757, 229291745?\nAnswer: 262047741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17428 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4212157 to the power of 1\/2, to the nearest integer?\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 76*r + 84. Suppose -185*d + 189*d = -8. Let b(j) = 2*j + 1. Let z(h) = d*b(h) + f(h). Differentiate z(t) with respect to t.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6375)\/595*252\/(-270)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1163\/4 + -309. What is the common denominator of -29\/7 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*j = -190*j + 3332 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o**2 - o + 2. Let f(u) = -4*u**3 + 22*u**2 - 13*u - 10. Let x(m) = -5*d(m) - f(m). Factor x(i).\nAnswer: -i*(i - 1)*(i + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 - 44 + 86)*(-n + 0*n + 3*n)*(0 + 1 + 0)*(13 - 7 + 5).\nAnswer: -198*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 14650190*g + 10731403351805.\nAnswer: 5*(g + 1465019)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (11 + 1) - (-20 + 3 - -38)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6956163 to the nearest 1000.\nAnswer: -6956000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-9)\/((-9)\/4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*k + 7, -3*k = -4*k - 3*i + 5. Let y be (-26)\/6 + k\/(-3). Let r = 71\/2 - 349\/10. Which is the third biggest value? (a) -2\/17 (b) r (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2324 + 4?\nAnswer: 2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m - 26. Calculate the remainder when m is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (142\/2414)\/(12\/51). Which is the closest to z? (a) 7 (b) 4 (c) 0.016\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370 and 20905.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-14)\/(-84)*-4. Let o(d) = -2*d**2 - d - 6. Let y(t) = -4*t**2 - 2*t - 12. Give f*y(p) + 5*o(p).\nAnswer: -2*p**2 - p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j - 74 = -88*j + 2*k + k + 57, -27 = -j + 5*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 + 3 - s + 2 + 0*s + 13 as b*s + c*s**2 + n and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/256 and 39\/20?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4405383, -4405382, -4405381, -4405380?\nAnswer: -4405379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnvv when four letters picked without replacement from vhnhvnhvnvhh.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**5\/60 + v**4\/8 + v**3\/3 - 33*v**2. Let g = -20 + 19. Let p be d(g). Solve 2*x = -4*r - 2, -5*r + p + 17 = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.34 + 0.34. Let f = x + 49. Let j = 33.54 - f. What is j rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 4:20 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/14503 and -51\/11.\nAnswer: 159533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 385 and 352?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-24) + (2 - 259\/2). Let f = o + 127. Suppose y + 1 = u - 3, f = -4*y - 8. Which is the biggest value? (a) -1\/2 (b) -0.25 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f + 6. Suppose 4*c - 6 = 6. Let q be s(c). Let r(x) = -x**3 - 12*x**2 - 2*x - 3. Does 12 divide r(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 352055512?\nAnswer: 352055520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8*f - 170. Let r be l(-24). Let w be (-467)\/(-7) + 4\/14. Let c = w - r. What is the remainder when c is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*x + 147 + 197, 4*x + 690 = 5*w. Let n = x + 111. Let s = 165 + n. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**8\/2184 - 46*t**7\/1365 + 529*t**6\/780 - 51*t**2. Factor k(u).\nAnswer: 2*u**3*(u - 23)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eggegeeeeeg. Give prob of picking 3 g and 1 e.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*n + 8. Solve -s - s + 0*s**3 - 2*s**3 - n*s**2 = 0 for s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**6\/6 - 3*g**2 + 4. Find the second derivative of d(l) wrt l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 4080262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 48*r**2 - 158*r + 177. Determine u(51).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 + (-1 - 0) + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 10 = 4*b. Let r be (b*-1)\/((-3)\/6). Suppose 0 = 2*d + r*n - 26, -2*d + n + n - 4 = 0. Solve -4 = 4*f + 4*s, -s + 8 = f + d*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -20, 8, -437, -2\/79, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*o - 3*s, 2*s + 17 = 2*o + 19. Let k(x) = 4*x**2 - 5*x - 7. What is k(o)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -3)\/4 - -2. Let u(m) = -1 + 2 + 3 - 2*m**2 - 2*m - p + m**3. What is the units digit of u(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16678 + -6?\nAnswer: 16672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**2\/8 - 1161*b\/8 = 0. Calculate b.\nAnswer: -387, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**5 - 18*u**4 + 33*u**3 - 18*u**2.\nAnswer: 3*u**2*(u - 3)*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 38*y - 36. Let x be w(-7). Let c = -195 - x. Which is bigger: c or 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109*w**4 + 4179*w**3 - w**2 - 10025195*w wrt w?\nAnswer: 1308*w**2 + 25074*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**3 - 1329*f**2 - 194478*f - 9529566. Let q(c) = -2*c**2 + c + 1. Let d(g) = -3*q(g) + u(g). Find x such that d(x) = 0.\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 90, 125, 164, 207, 254, 305?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w - 1. Let c be (-2 + (-9)\/(-6))*196\/(-7). Let d be ((-2)\/(-4))\/((c\/12)\/(-7)). Give a(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7\/(-14))\/(3\/(-1464)).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s - 3. Let b(w) = 5*w**2 - 5*w - 5. Let y(j) = j**2 - j - 1. Let z(r) = b(r) - 6*y(r). What is u(g) + 3*z(g)?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4\/5, 4, -4, 0.14, 0.06, -409, -1\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.839204s in nanoseconds?\nAnswer: 839204000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/14*(-5 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41? (a) -11 (b) 2\/9 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16317 and 18?\nAnswer: 32634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18675939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/2, 13.6, 0.5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 25*u**2 - 421*u - 1728. Calculate c(-4).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 14*x + 15. What is a(11)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 1. Let f(q) = q**2 + 6*q - 10. Let y(z) = -f(z) + 2*l(z). What is y(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -36*d**3 + 2*d**2 + d - 1. Let u be p(2). Let n = u + 688. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -13*r + 2. Let b(j) be the first derivative of -27*j**2\/2 + 4*j + 43. Let a(f) = 3*b(f) - 7*t(f). Let h(d) = -7*d + 1. What is 5*a(z) + 8*h(z)?\nAnswer: -6*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1736ad (base 15) to base 6\nAnswer: 40042044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 2113858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12 = -4*r + d, -4*r + 12 = 4*d. Let q(a) be the first derivative of -a**2\/2 + 3*a - 23. Let u be q(r). Solve p - u = 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j + 45530 + 9*j + j**3.\nAnswer: j**3 + 45530","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -44*u - 164. Let r be 45\/(-6) + 4\/((-32)\/12). Let m be a(r). What is the highest common factor of m and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, 11, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -150 + 149.9. Which is smaller: 2\/19 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13\/4, -1\/3, 96.04?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xggapppxpxa. What is prob of picking 1 g, 1 p, and 1 x?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {y: 1, b: 2, v: 1, t: 11, i: 4}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(17) - (sqrt(102)*1 - sqrt(102))\/sqrt(6)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6 + (-117)\/(-27). Suppose 2*o = i + 3. Let a be ((-3)\/(-2))\/(3\/8). Does o = a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183755 + 1145374 = -15564*i - 56067 for i.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6*r = 76. Let l(f) = -26*f + 22. Let i be l(r). Suppose 2*c = s - 3*s + i, -5*s = -4*c + 1023. List the prime factors of c.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*k - 201*k + 58*k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (0 + -7)\/((-5)\/155)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32\/(-2)*2\/(-4). Let q = y - 6. Calculate the smallest common multiple of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 172 and 261780.\nAnswer: 11256540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/34*2*-17*-1\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 12, -271, 1, -4 in increasing order.\nAnswer: -271, -11, -4, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.0854 = 1\/269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 + 3. Let w(l) = -7*l - 1. Determine w(g(m)).\nAnswer: 14*m**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -226 + 331. Let s = x - 42. Let h = 9 + 0. What is the greatest common factor of s and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2 - 12. Suppose 0 = 2*c + a*c - 56. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -1)*(-2)\/21. Let k = -0.4 + 0.4. Let m = -0.1 + 4.1. What is the nearest to a in m, -0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/6510*21*-2.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 + 29*f + 65. Calculate b(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 50\/13*d**3 - 162\/13 + 10*d**2 - 18\/13*d = 0.\nAnswer: -9\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -304\/129 - -1\/43. Let z(r) = -r - 1. Let d be z(-3). Put q, -3, d in ascending order.\nAnswer: -3, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -2.16553\nAnswer: -0.433106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*v - 686 = -724, 5*o + v = -30. Let m(d) = 12*d - 4. Let z(n) = 25*n - 9. Determine o*m(y) + 3*z(y).\nAnswer: -9*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71873 + -9251044.\nAnswer: -9322917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -14*i - i. Sort 1, i, 19.\nAnswer: 1, i, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.191 and -185.\nAnswer: -775.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20757 - 2?\nAnswer: -20761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2088.5 - -2089. Let l = 0.6 - -0.3. Which is the smallest value? (a) q (b) -0.3 (c) 1 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 850 and 1304410?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -10. Let j be ((-6)\/d)\/((-4)\/8). Is (-1)\/(j\/(-78)) + 1 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1234689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1. Let a be i*(0 - (-3)\/(-1)). What is the remainder when 17 is divided by 3\/9 - (-26)\/a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -12*j**2. Let o(w) be the first derivative of -w**4\/6 - 5*w - 5. Let c(v) be the first derivative of o(v). Determine b(c(s)).\nAnswer: -48*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by -3194?\nAnswer: -19\/1597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -4)*(1 + -1). Suppose 0 = -5*x - 2*m + 304, w = -5*x + 3*m + 2*m + 290. Let j = x - 27. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1291200 to the nearest ten thousand.\nAnswer: 1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -310 - -304. Is ((-132)\/(-30) + -4)*(-78405)\/f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 641, 0.1, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 667?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 22*h**3 + 6*h + 2. Let g(u) = -u**3 - u - 1. What is -a(v) - 4*g(v)?\nAnswer: -18*v**3 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27146 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1000111100 (base 2) to base 4\nAnswer: -20330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*1 + (1 - 2) + 5. Let m be ((-38)\/20 + -16 + 18)*x. What is the third biggest value in m, -0.2, -1, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3, p - 5 = -5*g + 4*g. Let a be (-9)\/(18\/g) - 3. Is a > -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 1 = -31. Let u(t) = -t**2 + 11*t - 7. Let s be u(9). Let i = s + y. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -42*o**2 - o. Suppose 0 = n - 3*c + 23 - 9, n + c - 6 = 0. Determine v(n).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -3*k**5\/20 - k**4\/4 - k. Factor g(h).\nAnswer: -3*h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 39. Is -2 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1790*r + 35. Let y(z) = -5368*z + 110. Determine -22*l(v) + 7*y(v).\nAnswer: 1804*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 13*x**2 + 13*x + 16. Suppose -3*o + 5*b - 73 = o, -2*b + 70 = -5*o. Let u be c(o). Solve f = 2, -5*q - 11 = u*f + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73525 divided by 25\nAnswer: -2941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.073 - -23.573. What is the nearest to -2\/3 in -3, -176, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 55*v**7\/3 - v**5\/20 + 3*v**4\/4 - 987*v**2. What is the third derivative of k(z) wrt z?\nAnswer: 92400*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w + 30. What is the remainder when 22 is divided by v(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 38*y + 33*y - 93*y + 17*y**2. Let o(m) = 8*m**2 - 11*m. Let j(f) = 5*o(f) - 3*t(f). Find the second derivative of j(s) wrt s.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1295 divided by 11.\nAnswer: -1295\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b - 104 = -5*r, -r + 16 = 3*b. Calculate the lowest common multiple of 16 and r.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731 is divided by 129.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 39*p - 13. Let o be r(-20). Let v(c) = 0*c + 3*c + o*c + 16*c. Let j(s) = -s. Give j(v(m)).\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 234 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10 + -11)*5\/(-1). Suppose -15 = -5*m + f. Which is bigger: m or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.361 and -5330831.8.\nAnswer: -5330831.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/sqrt(3)*-3)\/(sqrt(3) + (sqrt(3) - sqrt(192)))*-3.\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 1. Let f(c) = 7*c + 2. Let n(b) = -f(b) - 2*x(b). Let w(k) = -2*k. Calculate w(n(y)).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/18, -1\/4, -2\/5, 2, -0.1, -5 in descending order.\nAnswer: 2, -0.1, -1\/4, -7\/18, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3 - 0) + -13 + (4 - 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 180*o**3 + 179*o**2.\nAnswer: 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 11*f + 4 = 8*f, 5*f = -j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/19 - 23970*o**3\/19 - 71784144*o**2\/19 + 215568216*o\/19.\nAnswer: -2*o*(o - 3)*(o + 5994)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwwndrot. What is prob of sequence to?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - -0.8. Let l be ((-2)\/(-8))\/(10\/(-8)). Let u = 160 - 159.7. What is the closest to g in l, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - o**3 + 5*o**3)*(1 + 0 + 3)*(5*o - o - 2*o + (-4 + 4 - 2)*(-2*o - 2 + 2) + 4*o - 6*o + o - 3 - 2*o + 3 + 0 + 0 - 2*o).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*5\/(-15))\/(1\/(-9)*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -1 - (7 + (-24 - -4) + 12).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34386)\/25008)\/(3*(-2)\/(-192))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 324391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 559, 2252, 5081, 9052, 14171, 20444, 27877?\n\"Answer: c**3 + 562*c**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*n**3 + 35*n**3 - 79*n**3.\nAnswer: -148*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 1916128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-2) + (-9)\/1. Suppose -3*w + 322 = 265. Let f = r + w. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**5\/20 - 5*o**4\/12 - 2*o**3\/3 - 5*o**2\/2 - 3*o + 45. Suppose 5*m + 20 = -r, 3*r + m = 6 - 24. Calculate j(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 90*v**2 + 4*v - 4. Let w(y) = 989*y**2 + 43*y - 43. Calculate 43*l(m) - 4*w(m).\nAnswer: -86*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 416701019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 146 + -158. Is (-41023)\/(-19) - n\/(-114) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 12:21 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1233*s - 1233*s - 1239*s**2 - 642*s**3 + 5093*s**3 - 1430*s**2 wrt s.\nAnswer: 26706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by -9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvyvvxy. What is prob of sequence yyvx?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 74? (a) 1\/6 (b) 21 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -595 - 377. Let u = x - -264. Let l = u - -342. Round l to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151591 is divided by 379?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -1 - 9. Suppose -r = 2*o - 4807549, o - 24037710 = -u*r - 2*o. Suppose -10392461 - r = -2*t. Round t to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 774\/(-39) - 2\/13. Let a be 4\/6 - f\/6. Suppose -r - 2280 = -a*r. Round r to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -63556, -254177, -571862, -1016611, -1588424, -2287301?\n\"Answer: -63532*w**2 - 25*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55999 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 62?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 221 - 212. Calculate the least common multiple of h and (1 + -3)\/((-3)\/6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 3*u - 2. Suppose -13*n - 60 + 21 = 0. Determine a(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/43400 and 141\/17360?\nAnswer: 86800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/3860 and 103\/38600?\nAnswer: 38600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 946 - 941. Let h(s) = -3*s**2 + 5*s - 6. Let p(w) = w**2 - 2*w + 2. Let c(f) = 2*h(f) + 7*p(f). Determine c(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**3\/6 - 19*t. Suppose -g + 124 = g. Let q = 66 - g. Give l(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 13\/5)*-5. Let g(y) = -2*y + 15. Calculate the remainder when 59\/m + 4\/(-6) is divided by g(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 15 = 10*x. Let q be (-3)\/6*(-5 - (9 - 6)). Suppose b + b = q*o - 6862, -b = x. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.83 + -8954.\nAnswer: -8965.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - 2*x**2 + 2*x**2 + (0*x + 2*x - 3*x)*(3 + 3 - 5 + 75*x).\nAnswer: -73*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4368*w**2 - 25*w - 39. What is the thousands digit of n(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172586300 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100010001 (base 2) to base 16.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74.957 + -75. Let z = 0.193 - -0.05. Let r = z + g. Round r to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*u + 5560567 = 5560525 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/(-4) + (-1)\/2. Suppose -4*c - 24 = -w, 5*w - 2*w + 13 = -n*c. What is the highest common divisor of w and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -724*y = -696*y - 40740. What is the greatest common factor of y and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c + 5*c - 6 - 21*c.\nAnswer: -40*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51*j**3*p**3 - 10*j**3 - 96*j**2*p**3 + 6*j**2 - 12 wrt p?\nAnswer: -153*j**3*p**2 - 288*j**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 590, 1242, 2004, 2930, 4074, 5490, 7232, 9354?\nAnswer: 11910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**5 - 720*d**4 - 19610*d**3 - 18180*d**2 + 19615*d + 18900 = 0.\nAnswer: -108, -35, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/3 + (-8)\/12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in months?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 7*c**2 - 8*c - 2. Let x be g(3). Suppose 0 = -4*n - n + x. What is the tens digit of (69 - 2) + 2 - n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 645 divide 2075775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1760*y = 1924*y + 6053 - 1133 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -34*f**2 - 65*f + 22. Let g(a) = -17*a**2 - 34*a + 12. What is -11*g(z) + 6*l(z)?\nAnswer: -17*z**2 - 16*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1823 - 1033. Let y be (-3)\/12 - 218*(-145)\/40. Is p equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, m: 13}. Give prob of picking 1 r and 2 m.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 2:50 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/3)\/(304\/(-24))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**0)\/j)\/j*j**0*j*j**(-3\/7)\/j**8*((((j\/(j**(-1\/5)*j))\/j)\/j)\/j**(-3))\/(j**(4\/5)*j**(2\/5)*j) assuming j is positive.\nAnswer: j**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 - 1. Let k(h) = -23*h**3 + 3*h**2 + 114. Let p(t) = 5*g(t) - k(t). Find the first derivative of p(n) wrt n.\nAnswer: 99*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.22 + 0.02. Let a = -0.04 + f. Which is smaller: a or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, k: 1, p: 1, j: 1, c: 5, b: 7}. Give prob of sequence bccj.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zok when three letters picked without replacement from okkhhzlljokk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, m: 1, g: 1}. Give prob of sequence gml.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139.2 + -139. Let s = 35\/6 + -67\/12. Which is the third biggest value? (a) s (b) 3\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**5\/90 + 4*p**4\/9 + 64*p**3\/9 + 512*p**2\/9 - 2*p - 5. Find k such that f(k) = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 - 3330*k**3 + 338520*k**2 - 10792030*k + 113056845.\nAnswer: -5*(k - 31)**3*(k + 759)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414.269 centuries to years.\nAnswer: 41426.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 174381638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*a - 159*a = -178*a + 4180 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3256*v - 32*v**2 + 3256*v + 19*v**2. Let b(c) = -32*c**2. Determine 5*b(h) - 12*x(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17099 + 5681 + 302*q**2 + 5706 + 5712.\nAnswer: 302*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**5\/120 - r**4\/24 - r**3\/2 + 2*r. Let o(d) be the second derivative of k(d). Suppose -3*n - 61 + 52 = 0. Give o(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/2 (b) 4 (c) -3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 29313984.\nAnswer: 29313984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(95)*-1 - (sqrt(95) + 2*sqrt(95))*-2)\/((1*sqrt(80) + sqrt(80) - sqrt(80))*-6 - sqrt(80)*-2*1).\nAnswer: -sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.21 + 0.21. Let a = -16 + 11. What is the second smallest value in -0.5, a, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 4. Let d be x(1). Suppose 4755 = -d*y + 6*y. Is (y\/(-20))\/(1\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + z + 209 = 705, -4*z + 484 = 5*a. Is a a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 673.\nAnswer: 6\/673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*q + 19, 6*q - 5 = 4*q - z. Let x = -1 + q. Let w be x\/((-1 - 1) + 3). Solve w*t + 3*t = -6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 166916 - 34?\nAnswer: 166882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 - 3*v - 2*v**3 + 3*v - 111 + 56.\nAnswer: -2*v**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84532 is divided by 21128.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2\/5*q**2 - 2\/5*q - 2\/5 + 2\/5*q**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40.1 or -1\/1039?\nAnswer: 40.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 + -0.7. Let i = -0.76 + -81.24. Let r = i - -82.5. What is the biggest value in r, -3, -2, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/7 in -2, -3, -1\/5, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + x**2 - x + 1. Let p be ((-3)\/(-2))\/(1\/(-6)). Let u = p - -2. Let w = -4 - u. Let y(d) = -d**3 + 3*d**2 - 3*d + 2. Calculate w*h(i) - y(i).\nAnswer: -2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/4)\/p**0*p**2\/(p**5\/p*p)*((p*p\/(p**0\/p)*p)\/p)**(-2\/19)*(p**(-2\/5))**(-4\/11) assuming p is positive.\nAnswer: p**(-12207\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(-2*sqrt(44)) + (3*sqrt(51)\/sqrt(3) - (sqrt(17) + (sqrt(17) - sqrt(17)*-1) + 5))**2.\nAnswer: -sqrt(17)\/4 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19060 + -12102. What is the greatest common divisor of 98 and h?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 1998\nAnswer: -8\/999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 3. Suppose 0*x = x - 6. Let q = -4 + x. Let r be s(q). Is -2\/5 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118797 divided by -198\nAnswer: 39599\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 4*a - 45 = -2*m, 0 = -5*m + 4*a + 1714 - 1661 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**2 + 9*j + 11. Let v be p(3). Let z(a) = -3*a - 17. Let t be z(-7). Solve t*y = 20, v*f - 4*y + 15 = -7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from pppupuppppppp?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*w + 139*w - 151*w + 2574 = 0 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.1 - 2.09861. What is b rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*q - 36 = 0, -3*h - 5 - 3 = -4*q. What is the second derivative of -j**h + 3*j + j**4 - j**5 wrt j?\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -710883845 from -5505.\nAnswer: 710878340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 68611020739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 495 divided by -6.\nAnswer: -165\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 9*f - 211. Let a be l(24). Solve -2*s = -3*z - 19, -4*z + a*z = s - 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -0.6, 3, 16, -1\/7 in decreasing order.\nAnswer: 16, 3, -1\/7, -0.6, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/7)\/(((-15)\/(-2))\/(-5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-five quarters of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 3. Let h be (28\/8 - 4)\/((-1)\/(-10)). Let m be (25 + -5)*h\/(-90). Is m at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 488748261*z**3 - 488748331*z**3.\nAnswer: -70*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73973.53l?\nAnswer: 73973530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -5, -556\/35, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 15 = -0*y, 2*q - 4*y = 182. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4806 by 3.\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/4*j**4 - 3*j**3 - 3\/2*j - 15\/4*j**2 + 0 = 0. Calculate j.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - 2 - 0) + 44\/(-11). Find q such that 3\/4*q**4 - 3\/4*q**3 + 1\/4*q**2 - 1\/4*q**5 + a + 0*q = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 198, 168, 106, 0, -162, -392, -702?\n\"Answer: -2*l**3 - 4*l**2 - 4*l + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4533151 - -41?\nAnswer: 4533232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 661, 663, 665, 667, 669, 671?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.9958 - 33. Let c = 0.019 + g. What is c rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 148280 (c) 13\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/8 (b) 45 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - (sqrt(84) + 1*sqrt(84)*-4))\/sqrt(12) + 0)**2 + sqrt(14)\/(sqrt(2) + sqrt(6)\/sqrt(3)) + -5 + 4)*-5.\nAnswer: -555 - 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -14*h - 4. Let v(a) be the third derivative of 13*a**4\/24 + a**3\/2 - 2*a**2 - 66. Let j(m) = -3*b(m) - 4*v(m). Let r(o) = 10*o. Calculate j(r(f)).\nAnswer: -100*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*d + 33*d + 27583 = -3*x, -4*x = 4. What is the highest common factor of d and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -42, -35, -26?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-6)*(-10 + 6) - -4. Let p(b) = -45*b**3 + 65*b. Let l(a) = -2*a**3 + 3*a. What is r*p(c) - 130*l(c)?\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 0 - 5*p**2 + p - 1\/12*p**4 - 7\/3*p**3. List the prime factors of x(-12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ccpppcc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494118795.\nAnswer: 3, 5, 32941253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from {j: 3, n: 7, w: 3, i: 7}.\nAnswer: 49\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + sqrt(68) + (-6*((sqrt(119) - ((sqrt(119) - (-1*sqrt(119) + sqrt(119))) + sqrt(119) - sqrt(119) - sqrt(119))) + sqrt(119)))\/sqrt(7))**2.\nAnswer: -140*sqrt(17) + 1749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 98.\nAnswer: -15\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 144 = -2*f, 0*r + 4*f - 140 = -4*r. What is the remainder when 102 is divided by r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 29 = 2*r + r, -4*i = -5*r + 25. Let j be (-28)\/i - 2\/(-10). Solve -4*a = -3*a + j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 1613*b - 1127496. Determine t(699).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*l**3 - 1004 + 1004.\nAnswer: 128*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 490 and 195755?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47.8348 - 46.37. What is a rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300.9*-68.\nAnswer: -20461.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4702*d**2 + 165*d**2 - 9*d + 10*d - d in the form o*d + v + z*d**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 22086620*w**2.\nAnswer: 5*w**2*(w + 4417324)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 2*z - 49. What is the remainder when z is divided by (-10)\/(20\/12 - 2 - 0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -110*s - 138. Is m(-26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 7*f**5 - 9*f**4 - 47*f**3 + 105*f**2 - 68*f + 12 = 0?\nAnswer: -3, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 0\/2) + -7. Let k = u - -11. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6791364 and 22194.\nAnswer: 6791364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1843 = -6*n + 3353. List the prime factors of n.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1763 + 1754. Let u(r) = -4*r**3 + 3*r + 3*r**2 - r + r**2. Let v(h) = -17*h**3 + 17*h**2 + 9*h. Determine n*u(x) + 2*v(x).\nAnswer: 2*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 16645.98479?\nAnswer: -16651.98479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 96654337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0584 in -1, 0.2, -2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*o - 180. Is (o\/(-25))\/(1\/5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 5.5. Let y = 0.42 + c. Let a = -0.0799998 - y. Round a to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i**3 + 610*i**2 - 121*i + 208. What is the thousands digit of p(-87)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1166883.\nAnswer: 3, 388961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567835 at least 1567836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*u + 53. Let x = u - -35. Suppose 3 - x = -2*b. What is the remainder when 11 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.73425221 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106546\/13 - 8196. Suppose -3*m - 15 = 2*m. What is the biggest value in r, 2\/27, -5, m?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) + -1 - (sqrt(7)*-2 + 3).\nAnswer: -4 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7819.4 - -7820. What is the third smallest value in a, -11, -7\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a week in minutes?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 380.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 220748 - -1047?\nAnswer: 221794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*v - 7*v + 24 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -18904*l - 6. Let x(j) = -2*j. Give o(x(b)).\nAnswer: 37808*b - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 6 + -8 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from whp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 366239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 938?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1291, -2601, -3911, -5221?\nAnswer: -6531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -70 and -0.05485.\nAnswer: -70.05485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7277 and 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/153 or 0.1?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - (sqrt(143) + sqrt(143) + (1*sqrt(143) - sqrt(143)))*-2)\/sqrt(11) + (sqrt(325) - sqrt(325)*1)*-5)**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - 286. Let j = 300.76 + p. Which is the second smallest value? (a) 0.1 (b) j (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from vdviqqvikvinv.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/((-20)\/(-5)))\/(-1). Which is the nearest to 1\/3? (a) 4 (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1063480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/3781767923?\nAnswer: 2\/3781767923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15 and -17737584.\nAnswer: -17737569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68920.\nAnswer: 2, 5, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 1. Let i(l) = -6 + 3 + 2 - 2. Let y(c) = -i(c) - n(c). Differentiate y(j) with respect to j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9221109.9 and 3.21.\nAnswer: -9221106.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252*m = -55 + 1063. Solve -q - 5*o - 25 = -m, -13 = q + 3*o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1634, 1\/6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08073 rounded to 3 decimal places?\nAnswer: 0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(0 - 0)\/(-1). Let h(w) = -5*w + 4*w + s*w + 2*w + 6*w**2. Let q be (4 - 7\/2)*-2. Determine h(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1be - 81?\nAnswer: 13d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 8*t + 10. Let q be ((-24)\/(-10))\/((-15)\/(-50)). Let b be f(q). Suppose 4*v = -b + 14. What is the greatest common factor of 7 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1034*o = 257626 - 235912 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - t + 3. Let m be h(-3). Let z be m\/9*(4 + -10). Suppose z*v - v = 3. Let d(n) = -n**2 + n. Give d(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/614782 and -73\/32?\nAnswer: 9836512","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79918, 79965, 80012?\nAnswer: 80059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - r - 3, 55*h + 10*r = 54*h + 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*r**2 + 985 - 1965 + 982 + 34*r**2 to p*r + k*r**2 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.058.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/((-1550)\/(-280)))\/(1\/(-10)*-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13178 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-8)*(o**(5\/8)*o)\/o*(o*o**(1\/10))**(-8) assuming o is positive.\nAnswer: o**(-647\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750330915.\nAnswer: 3, 5, 50022061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4613241400.\nAnswer: 2, 5, 37, 167, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36624)\/98 + ((-24)\/28)\/3. Is -374 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 times -10\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12860c - 7?\nAnswer: -128616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 9*o - 2. Determine h(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 687\/13 - 53. Let z(x) = -x**2 + x. Let h be z(1). Which is smaller: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2053, -2049, -2043, -2035, -2025, -2013, -1999?\nAnswer: -1983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2357 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 8:36 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*f**3 - 1\/9*f**5 + 0 + 1\/3*f**4 + 0*f - 4\/9*f**2 = 0. What is f?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 17694?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*z - z. Suppose -4*x + 36 = z*a - 0*x, 3*x = 2*a + 4. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -294, -235, -5, 19 in ascending order.\nAnswer: -294, -235, -5, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 - 10*r - 25. Determine u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 31*h - 10. Let i(m) = 7*m - 1. Calculate -f(u) + 3*i(u).\nAnswer: -10*u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -231*m*p**4*q - 2*m*p**3*q - m*p**2*q - 3*p**3 + 85*p**2*q - 11*p*q wrt p?\nAnswer: -5544*m*p*q - 12*m*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (864\/3600)\/(4\/(-20)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21637 - 12964 - 65*m**2 - 1376*m**2 - 82935*m - 14134 - 25*m**3 - 1424*m**2.\nAnswer: -5*(m + 57)**2*(5*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.3.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 84 in decreasing order.\nAnswer: 84, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (48\/(-14))\/((-126)\/5733) and 48?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 65*n**4\/24 + 37*n**3\/3 - 18*n**2 + 1. Calculate the remainder when 76 is divided by q(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 9 + 0*f**2 + 0*f**2 + 2*f - 11 - 2*f**2. Let q(r) = -3*r**2 + 3*r - 3. Let g = -10 - -12. Let b = g - 0. Determine b*q(s) - 3*o(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 211*j*u**3 + 649*j*u**2 + 4*u**3 wrt u?\nAnswer: 1266*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*s - 8 = 104*s + i, -4*s - 3*i = 24. Which is greater: -142\/317 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14529907 rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 1599?\nAnswer: 6396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 11:04 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 3*y - j, 0 = y + j - 51 + 21. Calculate the remainder when y is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435407632 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 - (0 + (-1 - 82))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.09, 8, -0.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2035 + -173175?\nAnswer: -175232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39861123*m**3 - 47409711 wrt m.\nAnswer: 119583369*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 4. Suppose -2*d + d + 44 = -z, 0 = -4*d + 3*z + 172. Suppose 0 = 5*k - 5*v + d, 13 = -k - 0*v + 2*v. What are the prime factors of n(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5622.\nAnswer: 2, 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -210 divided by 10\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9581818, -9581819, -9581820?\n\"Answer: -h - 9581817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-5\/13)*h)\/h)\/(h*h*h**2))\/((h\/(h\/(h**(17\/4)*h*h*h)))\/(h*(h**(-1\/5)*h)\/h)) assuming h is positive.\nAnswer: h**(-2817\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w**2 + 3*w - 5. Let p(h) = 4*h**2 + 2*h - 3. Suppose l = 4*j - 15, 3*j = -4*l + 26 - 10. Give j*g(x) - 7*p(x).\nAnswer: 4*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 831845?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 50*l - 4 - 1.\nAnswer: 50*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r + 1. Let s(x) = 3*x + 1. Calculate -4*i(j) + 6*s(j).\nAnswer: 6*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14218.137 - 14228. Let f = g + 0.063. What is f rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjccjjjchcjmhhj. Give prob of picking 3 c.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -723160 divided by -895.\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpkihkhshkksksik. What is prob of sequence ip?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5*h - 2*h**3 + 2*h**4 - 3*h**4 + 5*h**3 + 3*h to t*h**4 + c*h**3 + q*h + m*h**2 + b and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 23*g - 477. What is l(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.4363 rounded to 0 dps?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-14 + -2) - (-214)\/24. Let x = 9 - b. Which is bigger: 1\/15 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -1. Let x be (-16)\/(12480\/4020) + (0 - 4\/(-26)). Let p(k) = -4 - 6 - 6*k**2 + 4. Let f(y) = x*p(y) + 30*j(y). Let m(g) = g. Determine f(m(w)).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/((279\/(-2))\/3). Let z = 104\/217 + q. Let s(v) = -v**3 - 6*v**2 + v + 6. Let p be s(-6). Is z at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 13*z**2 + 22*z + 2. Let t be n(-11). Let g(o) = -4*o**2 - o**2 + 2*o**t + 2*o**2. Let v(h) = -24*h**2. Calculate v(g(l)).\nAnswer: -24*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 11. Give j(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b + 1. Let z(k) be the third derivative of k**4\/4 - k**3\/6 - 8*k**2. What is -5*x(i) - 4*z(i)?\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 291952*w**3 + 4413*w**2 + 6?\nAnswer: 1751712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvh when four letters picked without replacement from vhvvhvhhhvvvhhvv.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11, 22944, -1, 4 in descending order.\nAnswer: 22944, 11, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -17*m + 20*m - 28, 5 = -4*d - 5*m + 57 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**3\/9 + 22630*d**2\/3 + 1289188*d\/9 = 0.\nAnswer: -33926, -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 3:14 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18718.\nAnswer: 2, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8446476 is divided by 228?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/q*q**(-3)\/q)\/(q*q**(-1\/3))**(1\/4) assuming q is positive.\nAnswer: q**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17\/4 in 2, -3, 3, 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-118)\/(-4) + (-10475)\/(-2350) + (-12 - (-5660)\/470).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 216 - 838 = -5*p, 3*l + 1053 = 5*p. Does 30 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(30)\/(sqrt(8)\/sqrt(4)))\/(sqrt(6)\/(sqrt(8)\/sqrt(4)) + sqrt(3)).\nAnswer: -1 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 34\nAnswer: 19\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -205, -627, -1265, -2119, -3189, -4475?\n\"Answer: -108*i**2 - 98*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83 - 9. Let x = 205 + m. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 4*i + 3. Let z be x(5). Let r = z + 5. Solve 4*u - r = 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehsfezz. What is prob of sequence hze?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) 2 (c) 123\/101 (d) 1\/42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -984, -986, -988?\nAnswer: -990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 9) to base 6\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/4 - 3\/6. Suppose 0 = -4*x - 2*r + 44, -8 = -2*x - 5*r - 2. Suppose -4 = 5*c - u, -48 = -3*c + u - 52. Solve -x = 5*t + y, t - 5*y - 7 - q = c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3\/9 - 88*g**2\/3 + 1256*g\/3 - 6496\/9 = 0. What is g?\nAnswer: 2, 14, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 8, 1, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52762, 52765, 52764, 52759?\n\"Answer: -2*q**2 + 9*q + 52755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1927*c - 17260. Calculate the lowest common multiple of d(-9) and 3486.\nAnswer: 3486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 270 + -158. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -15*d + 103. Let p(x) be the second derivative of -x**3\/6 + 56*x + 24. Give c(p(g)).\nAnswer: 15*g + 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 47881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14687.2761 and -5.\nAnswer: -73436.3805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*-2)**2*6 - sqrt(200)) + 3.\nAnswer: -10*sqrt(2) + 4803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7900 - 7900 - 169174*u - 3*u**2 + 6*u**2 + 169180*u. Let x(a) = 7*a**2 + 0*a**2 - 3*a**2. Determine x(w(f)).\nAnswer: 36*f**4 + 144*f**3 + 144*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8088 or 8219?\nAnswer: 8088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2676, 3531, 4958, 6957, 9528?\nAnswer: 12671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 14*j + 8510 = 59*j. Solve -10*n = -105 + j for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37221228 take away 1627?\nAnswer: 37219601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 3*p - 67, -2*p + 3*h = 2*p - 128 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 234 - 114. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 600 - 581. Which is the smallest value? (a) 2 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 44 - 4. Let c(f) = 15*f + 1. Let h be c(1). Suppose 4*d - p = h. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -143 - -208. Let a = c - 68.8. Let d = -3\/14 + 1\/2. Which is greater: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1787.5581879012 take away -1.3?\nAnswer: -1786.2581879012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.04, 4, -2\/3 in ascending order.\nAnswer: -2\/3, 0.04, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 15*a - 1. Suppose -5*x - 4 = -2*w, 2*x + 1 = w - 0*x. Let m be g(w). Is -46 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*n + 1382 + 713 = 726 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -167*f + 3179. Determine x(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**3\/6 + 4*q. Let p be g(6). Find the third derivative of -5*j**2 - j**4 - p*j**4 + 5*j**4 wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46032 divided by -6.\nAnswer: 7672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssc when three letters picked without replacement from sscs?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*i**2 + 3*i**2 + 4*i**2)*(-359524 + 359524 + 209*i) in the form s + y*i + n*i**3 + v*i**2 and give n.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 2. Suppose 0 = 2*g + j*g + 10. Is (-32)\/(-1) - (-3 - g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/63*-6)\/((-30)\/2310).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 = -0*f. Let l be 2\/f*(14 - -4). What is the units digit of l\/(-1)*(-3)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (107 - (98 - -28)) + 0 + 66.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z. Let q(d) = 2*d + 15727. Determine t(q(u)).\nAnswer: -4*u - 31454","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (-2 + (-1 - (1 + 2 + -8)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/4)\/((-1 - (-5)\/2)*6816\/3834).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -16*n - 84. Let y(o) = -10975*o + 32934*o - 10978*o - 10979*o. Calculate q(y(u)).\nAnswer: -32*u - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = 2*s, 2*l - 12 = -4*s - 2*l. Let b = 9 + -6. Which is smaller: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 - 227920*z. Let l(t) = 23*t**2. Give p(l(m)).\nAnswer: 2645*m**4 - 5242160*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -2 + -8 - (-5 + -4 + -4 - -3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**3 - 233*f**2 + 2755 with respect to f.\nAnswer: -3*f**2 - 466*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/11 - 132854*u**2\/11 = 0 for u.\nAnswer: 0, 66427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14057988 is divided by 483?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by (12*(-9)\/24)\/((-3)\/10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*p - 1734 + 3311 = 0 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csjc when four letters picked without replacement from {j: 2, s: 2, m: 1, p: 3, g: 1, c: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308339413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) + (-1)\/(-2). Let r be -1 + z + (1 - -3). Suppose -h = h - p - 8, 4*h + p = 10. Solve h*q + l - 13 = 0, -3*l = -r*q + 2*l + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -15*q - 10. Suppose -57 = -3*s + 27. Let x = 21 - s. Is i(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 7:28 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -801, -823, -859, -909, -973?\nAnswer: -1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1081954159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 0*w**5 + 0*w**4 - 1\/5*w**6 + 0*w**3 + 7\/2*w**2 + 0 + 7*w. What is the first derivative of q(z) wrt z?\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*f = -7 - 13, -4*w = -2*f + 10. Suppose -i - d = -4, -5*d - 9 + 4 = w. Let c = 0 + 2. Solve -9 = -3*o, c*x + i = o + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4389 and 8747277?\nAnswer: 4389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 200202001331 (base 4) in base 14?\nAnswer: 11bdc29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*v + 2*x, 3*v - 12 = -0*v + 3*x. Suppose 2*t - v = -2*s + 6, -s + 8 = 4*t. Let q(f) = 3*f + s*f + 7*f**2 - 3*f - 6*f**2. Determine q(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/15 - -2)\/(-49 + (-93936)\/(-1920)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121155 divided by -615.\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 30800000*n. Let s = 17 - 13. Suppose -5*k - 5 = 0, s = -2*y - 5*k + 1. Let h be m(y). Round h to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -40*g. Let i(l) = -l. What is i(k(b))?\nAnswer: 40*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1021, -12722, -44477, -106312, -208253?\n\"Answer: -1671*b**3 - b**2 - b + 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65715?\nAnswer: 3, 5, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - i - i + 1 - i + 5*i. Let j(l) = -4*l - 2. Let o = 11 + -8. Let q be (o + -2)\/(-3)*-9. What is q*w(b) + j(b)?\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfxqqxqxqfxx. Give prob of picking 2 x.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.0630225 kilometers?\nAnswer: 63022.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 4. Let c be z(0). Differentiate 0*j**3 + 0*j**c - 4 + j**4 + 0*j**3 with respect to j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3964, -7946, -11938, -15946, -19976, -24034, -28126?\nAnswer: -32258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 46*u**3 + 2*u**2 + 2*u - 2. Let v be d(-6). What is the tens digit of 6\/(11\/v*(-8)\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 2992?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**5 - 2*m**5 - 3*m**5 + (3 - 2 - 2)*(m**5 + 3*m**5 - 3*m**5) + 3*m**5 - 4*m**5 + 5*m**5 - m**5 - m**5 + m**5 + (-106*m**4 - 1005 + 1005)*(m - 1 + 1).\nAnswer: -105*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -20000311 (base 4) to base 7\nAnswer: -164455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -79*w + 11*w - 907 - 796 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 3*n**2 - 3*n - 3. Let m(r) = -4*r**2 - 4*r - 4. Let z be 12\/(-9)*(-1 + -5 + 3). Give z*t(a) - 3*m(a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3670 is divided by 1832?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3916 - -5983. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 11. Let u(h) = -1. Let j(b) = 5*u(b) + y(b). Let m(a) = -1. What is -j(c) - 6*m(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2776 or -2782?\nAnswer: -2782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 13037 and 13039 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 159 + -149. Let f(o) = o**2 - 15*o + 40. Let c be f(s). Suppose 6*m - 1 + 19 = 0. Which is greater: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + 2*t)*(-2 - 1 + 2)*(1 - 9*t - 3*t + 3*t).\nAnswer: 18*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*g - 26*g = 541754. What are the prime factors of g?\nAnswer: 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:19 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133302539 is divided by 490?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + -3 + sqrt(3267)*1 + sqrt(3267) + (sqrt(3267) - (-5*sqrt(3267)*1 - sqrt(3267)) - sqrt(3267)) + 2.\nAnswer: 264*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -753 in 0, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 8*f**3 + 3*f**2 + f - 1. Give t(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + 9. Let l = x + -12. Find the common denominator of 34\/5 and 6\/4 - 98\/l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -36 + 32 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 20 = 5*v, 2*v = -0*v - 4*f + 4. Let k = v - 1. Let u(p) = -p**2 - 3*p + 1. What is u(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4176 - 4181. Suppose -2*h = -3*v - 32, 0 = -2*v + 3*h + 2*h - 36. Let t = 5 + v. Sort f, 1, t in increasing order.\nAnswer: f, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 4*j - j**3 + 0*j**3 + 4*j**2 - 5. Let w(o) = 4 - 4*o**2 + 0*o**3 - 5*o**3 + 4*o**3. Let f be w(-4). Determine h(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21059, 21026, 20965, 20870, 20735, 20554, 20321?\nAnswer: 20030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (455\/165 - 2) + 0 - 1. Is 1 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 329964 and 1674?\nAnswer: 2969676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/13, -17, 2, 66\/91, -14 in descending order.\nAnswer: 3, 2, 66\/91, -2\/13, -14, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65403 = -1655*p + 797 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) -4 (c) -208 (d) -0.4 (e) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55761 divided by -1945.\nAnswer: 55761\/1945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -2) + 1 + (34 - 7 - 5)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least as big as -174\/1157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 110202?\nAnswer: -110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -84072 (base 12) in base 13?\nAnswer: -608cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 1. Let j(q) = 8*q + 108. Determine j(z) - 3*w(z).\nAnswer: 2*z + 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135\/2 + -70. Which is the fourth biggest value? (a) -2\/3 (b) q (c) 3 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zopfp. Give prob of sequence pfop.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - p + 0*p)*(-3 - 3 + 4) + 0 + p + 0 - 6 + 4 - 2*p + 5.\nAnswer: -5*p + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1799764.\nAnswer: 2, 449941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfttpfttlyfflpfpfff. Give prob of sequence lp.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 76 = -3*w - 13*k, -7*w + 72 + 132 = 4*k for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 21 - 56 = 0. What is the remainder when 31 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*d + 285. Let u = d - 38. What is the third derivative of 0*p**5 + u*p**2 - 15*p**2 + 3*p**5 wrt p?\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 181?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 5:36 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 h when three letters picked without replacement from dhhhhfhhhhhhdh?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.7224 + -2.68. 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: In base 14, what is 560ac573 + 0?\nAnswer: 560ac573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/(-14) - 146\/511\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 17. Let o be k(-4). Calculate the remainder when (-426)\/(-9) - o\/3 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 664 + -658. Sort -2\/57, -0.5, f.\nAnswer: -0.5, -2\/57, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - (-29 - -123 - 56)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -128*o**3 + 169*o**2 - 7. Let n(i) = -64*i**3 + 84*i**2 - 3. Let p(k) = -3*l(k) + 7*n(k). What is the third derivative of p(d) wrt d?\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 10 - (4 + 11).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 942 is divided by 469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 26\/14)*21\/6. Let b = 48 - t. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-63 - ((-4 - 14) + -12)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**3\/2 + 213*q**2\/2 + 1359*q\/2 + 2079\/2 = 0.\nAnswer: -3, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50937179 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 9*y**2 - 15. Let u(l) = -l**2 + 1. Let t(z) = o(z) + 18*u(z). Let c(s) = 9*s**2 - 4. What is 3*c(j) + 4*t(j)?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*a - 30. Suppose -t + a = -6. Calculate the remainder when t is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqvv when four letters picked without replacement from vvqvqqvvvqqvqqqvqv.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s**3 + 18*s**2 - 4*s - 2277. Let z(c) = -c**3 + 4*c**2 - c - 569. Give -2*t(g) + 9*z(g).\nAnswer: g**3 - g - 567","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -5 (c) -3\/2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949 is divided by 927?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**3 - 15*s**2 + 7*s - 8. Let j(u) = -9*u**3 + 29*u**2 - 14*u + 15. Let y(b) = -6*j(b) - 11*l(b). Is 6 a factor of y(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6666 and 624483.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -248 - -133. Let f = t - -199. What is the least common multiple of f and (-69)\/(-15) - (-4)\/10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/222*(584\/(-64))\/(-73).\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177 - 177. Solve d = 3*n - 3*w + 12, -3*n - 5*w - 12 = -0*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179 = -26*a - 23 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1088186 is divided by 970?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.425 - 0.625. What is the nearest to 2\/17 in b, 6, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 6 - 3. Let a(t) be the second derivative of t**3\/6 - t**2\/2 - 2*t. What is a(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1300) + sqrt(1300) + 4 + sqrt(1300) + -2))**2.\nAnswer: 120*sqrt(13) + 11704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = w + 4*t, -6*t = 3*w - 2*t - 313. Suppose -3*g = -0*g - w. Let r = g - 11. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*c - 123*c**2 + 3*c**2 + 15*c**2 - 311*c.\nAnswer: -105*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 70, 343, 912, 1777?\nAnswer: 2938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 2)\/(-4 + 3). Let m be b + ((-26)\/(-39) - 32\/3). Let c(i) = -i. Let d(y) = 12*y. Calculate m*c(r) - d(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1705\/682)\/(84\/40 - 2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 11 = -5*f, 2*f + 1 = -5*a + 2. Calculate the least common multiple of 2\/(-4)*-5*2 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-7)*((-14)\/(-4))\/(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Suppose 2*t = -t + 42. Let i(a) = 0*a + 3*a - t*a. Calculate i(d(c)).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221748 and 3264?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -10*m + 5*m. Let u be 30\/255 - 240\/m. Let z = u + 36. Solve -2*y - z = -4*s, 2*y - 9 - 14 = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37032104539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y - 4*l - 25, -4*y - 4 = 4*l. Let a = 5 - 6. Let v be a*1\/((-2)\/4). Sort v, y, 5.\nAnswer: v, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 3 + 7 - 4 - 1269*y to the form o*y + s and give o.\nAnswer: -1269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 219805 and 2.22?\nAnswer: 487967.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*g - 5. Let k = -0.5 - -1.5. Which is the closest to 0? (a) g (b) k (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - m + 5*m - 27 = 0, -2*u - 18 = m. Let p be u\/(-8) - 30\/240. Solve 0*a - 4*a = 3*x - 7, 2*a - p = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5}. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 21*l**2 + 673*l - 91. What is w(-32)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -59044788 not equal to -59044778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16169 and 874?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.3292 greater than 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 293236 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -2170721354.\nAnswer: -2170721354.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2 - 14*r - 20. Let m be j(-2). Let l be (-5)\/(-40) - (3 - 340\/96). Which is the biggest value? (a) -2 (b) m (c) l (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478340 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 369695021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 4, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**2\/7 + 120194*q + 7572060\/7 = 0.\nAnswer: -420670, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/28 and 93\/2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 31 + 121. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 241, 243, 247, 253, 261, 271, 283?\n\"Answer: g**2 - g + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k + 4914. Let b be 30\/2*(-3)\/(-9). Is 2\/b + k\/(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p - 4. Calculate r(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 10:32 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 510588473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/13 in -0.05, -1\/23, 564?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64985541 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/208 and 103\/468.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 27 - 1. Let k = i - -24. Is k a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.241955 rounded to 2 dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -3*n - 5\/2*n**2 - 2\/15*n**6 + 0 + 0*n**3 + 0*n**5 + 0*n**4. Differentiate o(u) with respect to u.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30*(-8 + 414\/45). Let h be -2 - 2*4\/(-16)*22. What is the highest common divisor of h and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/132 and 79\/6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1370, 1400, 1432, 1466, 1502, 1540, 1580?\nAnswer: 1622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/2 + 84781*c**3 - 7188157077*c**2\/2 + 14375296798*c - 14374957682.\nAnswer: -(c - 84779)**2*(c - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -78. Let n be 1\/(-2) - l\/(-4). Suppose -n = -2*s - 3*w, s - w = -2*w + 3. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42.54 - 39.54. Which is the closest to -0.05? (a) -5 (b) -0.4 (c) t (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26879 - 26883. Let f = 894\/7 + -128. Let j be (-6 - 0)*(-1)\/(-10). What is the closest to f in j, 1\/3, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -663.632 times -0.4?\nAnswer: 265.4528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**3\/7 + 916*a**2\/7 + 51040*a\/7 - 161472\/7 = 0?\nAnswer: -116, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s**2 + 3*s**2 - 7*s**3 - 2*s - 6*s**2 - s**2 as j + u*s + f*s**2 + a*s**3 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 40. Let o(b) = b**3 - 6*b**2 + 3*b - 1. What is o(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/2 of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 2:55 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l - 2. Let n be o(-16). Suppose -14 = 8*i - n. Factor -2*z - 3*z**3 - 6*z**2 + 4*z + z - i*z.\nAnswer: -3*z*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-2 - 16\/(-48))*1*10 - 6?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 - 9*o**5 - 1 + 0*o**4 + (2*o**4 - 4*o**4 + o**4)*(0*o - 4*o + 3*o).\nAnswer: -8*o**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/3, -17507, 1 in descending order.\nAnswer: 1, 1\/3, -2, -17507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 0*i + 20*i**3 - 29*i**3.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 12:04 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8492465 rounded to 3 decimal places?\nAnswer: 0.849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/324 and 41\/732.\nAnswer: 19764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*y + 12742 = 240*y + 419*y for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186479521.\nAnswer: 41, 443, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3\/4 - 595011*w**2\/4 + 5950201*w\/4 - 5355189\/4 = 0. What is w?\nAnswer: -595021, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 115\/2. Find c such that 1\/2 - 1\/2*c**2 - h*c**3 + 1\/2*c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003551308217 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -165*k**2 - 6*k - 190. Let y(v) = -164*v**2 - 4*v - 189. Let s(r) = -2*f(r) + 3*y(r). What is the derivative of s(t) wrt t?\nAnswer: -324*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1127660 divided by -6.\nAnswer: -563830\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 49*n**6\/225 - 7*n**5\/15 - n**4\/30 + 4*n**3\/9 + 4*n**2\/15 - 5*n. Factor p(r).\nAnswer: 2*(r - 1)**2*(7*r + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2988 and 357585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 7816783?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50463*c + 8*c**2 + 2*c**2 - 50461*c.\nAnswer: 10*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**6\/30 - 3*h**5\/25 + h**4\/10 - 136. Factor u(s).\nAnswer: s**3*(s - 2)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/6*117\/455.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 22 = -3*z + 13, z = 4*m - 91. Suppose 0 = -3*g + m - 7. Solve -u - 4*p = -9, u + g*p = 5*u + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -10*l**2 - l - 8. Let r(h) = h**2 - 2*h + 66. Let j(x) = 6*x**2 + 7*x - 191. Let a(s) = -j(s) - 3*r(s). Determine -7*a(i) + 6*c(i).\nAnswer: 3*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)*-2*-3 - sqrt(21))\/(sqrt(36)\/(1*sqrt(12))).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 6, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*n + 5*q + 21, -q + 21 = 3*n. Solve n*c = 11*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256649927, -513299857, -769949787, -1026599717, -1283249647?\nAnswer: -1539899577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*o - 5*o + 2592. What is the remainder when 1151 is divided by o?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6850.56 tonnes in nanograms?\nAnswer: 6850560000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - r. Let i(z) = 49*z**3 + z**2 + 16*z. Let u be 12\/24 - (10\/(-4) + 2). Let d(n) = u*i(n) - v(n). Find the second derivative of d(f) wrt f.\nAnswer: 294*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 18 = -2*w, 0 = 5*w - 0*f - f - 18. Suppose 5*v = 3*v - w. What is the units digit of 94\/12 - v\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*l**2 + 9*l**2 + 28*l**3 - 21*l**2 wrt l.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1253*k**4 - 999*k**3 - 4534686*k**2?\nAnswer: 30072*k - 5994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 16*s**2 + 29*s + 11. Let w be x(14). Let f be 1\/4 - 101\/4. Let o = w + f. What is o rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -123.197\nAnswer: 24.6394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*(1 + 34\/(-8)). What are the prime factors of (-55)\/(-22)*f\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40963644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/27 + 55\/(-45). Suppose -5*j = -3*k - 0*j + 24, 0 = -5*k + 3*j + 24. Let r be (-10)\/12 - (-1)\/k. What is the second smallest value in r, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 75, 5 in decreasing order.\nAnswer: 75, 5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 16*f**2 + 10*f + 59. Give v(17).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 3) + 8 - 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - -2*sqrt(1100))**2 - sqrt(11)) + (sqrt(33)*2)\/sqrt(3).\nAnswer: sqrt(11) + 4851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*l - 3558 + 3831 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 3:59 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -19959*q + 658636. Determine s(33).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 701510 to the power of 1\/2, to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**3 + 22*f**2 - 8*f + 12. Let p be y(7). Suppose 0 = p*u + 7 - 37. Solve -u = z + z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164626?\nAnswer: 2, 7, 11, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 722136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*k**2*s**2 + 4*k**2*x**2 + 3*k*s**2*x**2 + 166*k*s**2 - 2*k wrt k.\nAnswer: -38*s**2 + 8*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v. Let r(k) be the third derivative of k**5\/20 - 16*k**2. What is r(d(n))?\nAnswer: 75*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r**2 + 9*r - 25. Let j be v(4). Let s = j - 71. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 + 27. Let i(f) = -f**2 - 319 + 319. Give i(a(o)).\nAnswer: -4*o**4 + 108*o**2 - 729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 45.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.22, -5, -30\/13?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 76. Suppose -13*i - p = -25*i. Solve -4*d - 12 = -u - i*u, 0 = -5*u + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.699 + 0.149. Which is the closest to n? (a) -3\/4 (b) -5 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 456 and 105168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6139200?\nAnswer: 2, 3, 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5602 (base 8) to base 5.\nAnswer: -43241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8627.02 minutes in nanoseconds?\nAnswer: 517621200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734 is divided by 65.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 15) to base 16.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5640)\/(-90)*(-1)\/2*-72 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i**2 + 84. Let a(f) be the third derivative of -f**4\/8 + 10*f**2 - 11. Give t(a(u)).\nAnswer: -54*u**2 + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-279*q - 271*q + 301*q - 480*q)*(-3*q + 3*q - 2*q)*(-6 + 1 + 2 - 2*q).\nAnswer: -2916*q**3 - 4374*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -58106.88 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4 + 10*o**3 - 27*o**2 - 36*o = 0 for o.\nAnswer: -12, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1\/5, 634.775?\nAnswer: 634.775","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 340 - 340. Suppose 0 = -5*b - c*b - 2*p + 18297, 2*p = 4*b - 14634. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = 0. Suppose l = -4*m + 3*b - 4, 0*m + 5 = -5*m + 2*b. Let g(u) = 37*u**2 + u + 1. Is g(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 344 and 124528.\nAnswer: 124528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4189523988 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 170*s*z**3 + 3*s*z + 5*z**6 + 3*z**2 wrt z.\nAnswer: 1020*s + 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*z - 2 = -n, 2*n = z + 7. Solve k + 6 = z*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - 16. Suppose -2 = j, 5*j - 11 = -3*m - 0*m. Suppose 4*o + 49 = -w, o + 31 = 3*w - m*w. Let c be l(o). Does c = -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x - 6. Let j(u) = 6*u. Let g be j(-1). Does 4 divide w(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/15)\/((-8)\/(-6470))*4. Let d = x + 6448\/5. What is the common denominator of 26\/8*(-2)\/(-4) and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109135446 divided by 3\nAnswer: -36378482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6967 divided by -3?\nAnswer: 6967\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/11)\/(a\/(a\/a**6)))\/(a\/(a\/(a**(3\/23)\/a))*a\/a**45) assuming a is positive.\nAnswer: a**(9788\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from {i: 1, u: 2, d: 5, o: 2, b: 1, t: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002512 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -0.06, -2\/5, 3\/5, -232, -1\/2, 0.064?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/4 (b) 0.09 (c) 210 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 1)*(-5*t + 5*t - t) - t + 5*t - 2*t)*(-29*t - 37 + 37).\nAnswer: -116*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1860, -6324, -13764, -24180?\n\"Answer: -1488*x**2 - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 6*m - 1. Let f be h(-6). Suppose 3*w = -7 - 2. Put 3, w, f, 4 in descending order.\nAnswer: 4, 3, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -248 + 251. What is the common denominator of (10\/w)\/((-448)\/(-756)) and 1 - ((-15)\/6 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52 or 160\/3?\nAnswer: 160\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -233*d**2*g**2 + 5*d**2*g*k*p - 2*d**2*k*p + 2*d*g**2*k*p - d*g**2*k - 2*g*k wrt g.\nAnswer: -466*d**2 + 4*d*k*p - 2*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, c: 8, d: 4, m: 2}. What is prob of sequence ccm?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + w**2 + 23. Let s be p(0). Suppose -3*f + 13 = -s. Solve -4*t + 4 = f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.08141559 and -0.9?\nAnswer: 0.81858441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987674 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 336473 + -29473. What is t rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/(-34) - 1\/(-2). Sort 0, -2\/9, f.\nAnswer: -2\/9, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/990 and -64\/33.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 104838 divided by 1\nAnswer: 104838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -3795811.\nAnswer: -14\/3795811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from bbbwbbbbbbbwwbbbbbw?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - v + 13 = 0, 5*c + 17*v = 21*v + 74. Solve 3*t - c = 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 2*p**2 + 2*p - 1. Suppose 3*n - 3 = -0. Give j(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*p = -10, -8*l = -3*l + 3*p - 15. Suppose 3*z = -l*z + 129. Calculate the remainder when z is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -25 (b) -2\/9 (c) 8710\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24293983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -195*w**2 - 175114*w - 3577. What is h(-898)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*((6*-2*sqrt(17))**2 + sqrt(612)*4 - (2 + sqrt(170)\/(sqrt(10) + (sqrt(360) - sqrt(360)*-1)))).\nAnswer: -9788 - 1244*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 560, 2\/3, 2\/11, -1, -0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + 2 + -3*(5 + (sqrt(68) - (sqrt(68) + 3)))*6*-3))**2.\nAnswer: 11449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53259, 53223, 53163, 53079, 52971, 52839, 52683?\nAnswer: 52503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 10*c + 4*c + 6*c**2. Let s(a) be the second derivative of 55*a**4\/12 - 65*a**3\/6 + 233*a. Determine -65*b(i) + 6*s(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 40*d**3 - 8*d**2 - 2318*d\/5 - 2888\/5 = 0?\nAnswer: -19\/10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 13*w + 4. Let c = -104 + 91. Let u be l(c). Put u, -2, -16, -5 in increasing order.\nAnswer: -16, -5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - -94. Suppose -4*t - a - 1610 = -4*g, 0 = 4*g + t - 1680. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10718.9 + 10719. Which is the nearest to z? (a) -8 (b) -2\/9 (c) -2\/3 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 + l**5 - 3*l**5 + (-4*l**4 + 0 + 0 - 3*l**4 + 2*l**4 - 3*l**4 + (2 + 1 - 2)*(2*l**4 + l**4 - l**4) - 2*l**3 + l**4 + 2*l**3)*(-7*l + 3*l + 2*l).\nAnswer: 9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 - -81. What is the third derivative of -27 + a - 16*n**2 + 9*n**4 wrt n?\nAnswer: 216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/155*4\/2*-1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = x - 135, 2*x = 4*u + 7*x - 279. Suppose -7*k = -6*k - 5*s - 175, s - 328 = -2*k. Calculate the highest common divisor of u and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b - 9. Let d be x(-3). Let i be (28\/d)\/((-2)\/(-3)). Let g(v) = -v + 1. Let p(j) be the first derivative of j**2 - 3*j - 126. Give i*g(r) - 3*p(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6537 - 6534. Solve v = d*y - 15, -2*y + 26*v - 27*v + 5 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 15 = 5*v - 15, -26 = -2*i - 3*v. Calculate the smallest common multiple of 1328 and i.\nAnswer: 6640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-14))\/(2\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104439.\nAnswer: 3, 31, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from medeeemmdmmdemmem. Give prob of picking 2 m.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 6*u + 11*u + 5, 2*q + 13 = u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1978, 1990, 2016, 2062, 2134?\nAnswer: 2238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-10)\/1*1. Let j(o) = o**3 - 7*o**2 - 9*o + 5. Let f be j(v). Let s = 264 - 265. Which is the closest to 1? (a) s (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(11)*-3 + sqrt(11) - (-1 + sqrt(704)).\nAnswer: -19*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 24717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 15*h**2 + 1316*h + 25092. Determine v(-28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 11\/80*k**5 - 25\/168*k**7 + 0 - 1\/4*k**4 + 0*k**2 + 2*k - 1\/6*k**3 + 1\/4*k**6. Find v, given that w(v) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 2 (c) 6 (d) 1\/17 (e) -713\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 - -30. Let w = -14 - s. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376, 549, 852, 1297, 1896, 2661, 3604, 4737?\nAnswer: 6072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbqcbbbq. Give prob of sequence qcb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 5249000 to the nearest one hundred thousand.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 1066*r + 52258. What is z(47)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - l = -8, 920*l - 93 = -14*w + 917*l. Let k = 2 - 5. Put 8, w, k in decreasing order.\nAnswer: 8, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.19 + 1.81. Sort 0.2, -0.1, r.\nAnswer: -0.1, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.44491 + -0.44448874. Round f to five decimal places.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52665990 by -2158.\nAnswer: 24405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 1003?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -106, -103, -100, -97, -94?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 1. Let j(h) be the first derivative of -h**2 - 8*h + 1. Let r(g) = -3*f(g) - j(g). What is the units digit of r(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 3 + 12 + 3*f**3 - 5 - 4*f**3 as b*f + g + v*f**2 + x*f**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 5 + (4 - 2 - 1)*(3 - 2 + 1) + 4 - 2 - 4)*(1 + 3 - 1)*(5*s**3 + 0*s**3 + 0*s**3 - 2*s + 2*s**3 + 2*s + (-2*s**3 + 4*s**3 + s**3)*(0 + 1 + 2)).\nAnswer: -96*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -376 and 17.7?\nAnswer: -6655.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -5*o, -3*o + 4*n - 216 + 213 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 971.0453ml?\nAnswer: 0.9710453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 + 3198)*(-6)\/(-3) - -4. Suppose 0 = -16*r - 878 + l. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3948 is divided by 3922?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 22, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 182*l - 6. Let g = -293 + 296. Does 18 divide i(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + -21831?\nAnswer: -21818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1137097, -2274206, -3411315?\nAnswer: -4548424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1560 - -1560.00000934. What is d rounded to seven decimal places?\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + d + 47 - 24.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 396, 412, 424, 420, 388, 316, 192?\n\"Answer: -2*l**3 + 10*l**2 + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5190861 a multiple of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/24)\/((-2445)\/(-24)). Let y = 217613\/9780 - u. Find the common denominator of y and -97\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 505235 (base 6) to base 14\nAnswer: 10851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 30*z**2 + 357*z + 35. What is the tens digit of t(29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5445339?\nAnswer: 3, 137, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -355 (base 7) to base 12\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 202 = -7*c - 5*w, 2*c - 5*w = 86. Suppose 4*y - 2 - c = 2*o, -3*y = 3*o - 24. Is y less than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 24, 48, 88, 150, 240, 364, 528?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -815*l - 1558 + 286 = -15942 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y + 6*y)*(6*y**3 - 2*y**3 - 2*y**3) + (2*y + 2*y - 3*y)*(-54 + 54 + 18*y**3) + (-2*y**3 + y**3 + 3*y**3)*(4*y - 3*y - 3*y).\nAnswer: 22*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 4, -2.37, 29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1039383921488110 + 4838688663212116383340\/4655343. Let q = v + 54726\/2879. Let x = q - 19\/147. What is the common denominator of 34\/13 and x?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/13 + 7894*a\/13 + 3040.\nAnswer: -2*(a - 3952)*(a + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 - 52*j - 1224. Let t(w) = 5*w**2 - 83*w - 1836. What is -8*n(q) + 5*t(q)?\nAnswer: q**2 + q + 612","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11533579.\nAnswer: 541, 21319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1230 or -1231?\nAnswer: -1230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -4.3328306?\nAnswer: 17.3313224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 9*t**2 - 17*t - 13. Let x be 3 + 10*(1 - 2). Let a be n(x). Suppose -a = l - 5*l. Which is smaller: l or 10\/17?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 8*t + 738. Let c = -1094 + -15. Let o be c\/(-9) - (-22)\/(-99). Calculate the highest common factor of o and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*n**3*w**3 - n**3*w**2 - 882*n**3 - 1084*n*w**5 wrt w?\nAnswer: -144*n**3 - 65040*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108194 is divided by 8310.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50\/21*a**2 - 20\/21*a - 2\/21.\nAnswer: -2*(5*a + 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -431 + -11?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/l**5)\/l*l*l*l**(-2\/3)*l*l)**(-10)\/(((l**0*l)\/l)**(-3\/5))**(-2\/31) assuming l is positive.\nAnswer: l**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 3:29 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8208 (b) -13 (c) -68 (d) -2\/3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -154530404 + -3?\nAnswer: -154530410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*h + 4, h + 4*k + 1 = 17. Suppose h = -0*n + 12*n + 24. Sort 6, n, 4, -1 in increasing order.\nAnswer: n, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 23579, 0.04, 5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 24, -7, -80, -195, -352?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = -11*x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1994, -3431, -4870, -6311, -7754, -9199?\n\"Answer: -t**2 - 1434*t - 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 125\/(27625\/(-25483)) - -115\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - n - 7 = 0, 5*n = 3*p - 39 + 8. Calculate the greatest common factor of 22 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -365*x. Let c(s) = -6*s**2. Calculate c(h(b)).\nAnswer: -799350*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 135\/(-39) - 258\/(-559). Sort -5, 5, 19, z in decreasing order.\nAnswer: 19, 5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52462 divided by -78.\nAnswer: 26231\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 477307448061459 + 477307448061459.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17249116 is divided by 2067.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.9 and -27808.9546.\nAnswer: -27810.8546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 25 = 3*w - 10, 5*h - 29 = 4*w. Let b(u) = u + 7. Let a be b(w). Let v be 4*(a - (-12)\/(-16)). Calculate the highest common divisor of 7 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2\/13*g**3 + 6050\/13 - 5830\/13*g - 218\/13*g**2 = 0?\nAnswer: -55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441636 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 2*r**2 + 4*r.\nAnswer: -2*r*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-3)\/444*(-147)\/((-4410)\/(-40))?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**2 + 125*p + 21. Calculate the least common multiple of 135 and n(-25).\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 8. What is the greatest common factor of w and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100101 - -111011110001001000110?\nAnswer: 111011110000111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/13 + 780336*b - 989501943456.\nAnswer: -2*(b - 2536092)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 112739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -41, 4 in decreasing order.\nAnswer: 4, -3, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -631 - 50a1a?\nAnswer: -5144b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.789 + -10.889. Let q = -2 - -2.4. Which is the smallest value? (a) q (b) 2 (c) f (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 + 4*j**2 + 5*j + 6. Determine t(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (280\/(-700))\/(14\/(-5))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q + 3*q)*(-2*q**3 + 4*q**3 - 3*q**3) + 15*q - 15*q - 6*q**4 + 35*q**2 - 13*q**4 - 35*q**2.\nAnswer: -22*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*r + 22667*r**3 + 242*r - 489*r.\nAnswer: 22667*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 268711939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 28. Let o = 57 - j. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - (4 - 2) - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*i**2 - 66*i**2 + 376*i**2 - 123*i**2.\nAnswer: 75*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*x**3 - 2275*x**2 + 21256*x + 3940.\nAnswer: (x - 197)*(x - 10)*(11*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 86\/(-30) + 16\/(-90). Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 14\/6)\/((-10)\/(-330)). Let s(o) = -o**3 - 18*o**2 + 6*o + 11. Let y(d) = 2*d**2 + d - 3. Let k(j) = -s(j) - 4*y(j). Determine k(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1181*a**2 - 7081*a - 13. Give m(-6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6*-3)\/((-83)\/(-166)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -13043*t - 56. Is p(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29033179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -103, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8789 less than -104.48?\nAnswer: -8893.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/8)\/i**(2\/23))**37*((i**(2\/7)\/i)**(-16))**(2\/15) assuming i is positive.\nAnswer: i**(11327\/3864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -602 > -149649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (64\/(-200))\/((-2)\/5). Let w(g) = 3*g + 29. Let r be w(-9). Sort -2, y, -3, r.\nAnswer: -3, -2, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2542*h**4*n + 2*h**4 - 2*h**2*n - 6*h*n - 4149*n wrt h.\nAnswer: 30504*h**2*n + 24*h**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 p, 1 u, and 1 l when four letters picked without replacement from {u: 2, b: 4, y: 7, p: 1, l: 6}.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -896\/27? (a) 1\/4 (b) -3\/11 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 4:37 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463*j - 8162 = -467*j - 5*a, -10 = 5*a. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + s**2 + 7*s**2 - 4*s**2 + 5*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 6, 0, -7 in increasing order.\nAnswer: -7, -5, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, i: 1}. Give prob of picking 2 c.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11*a**3 - 4*a**2. Let w(g) = -63*g**3 - 11*g**2 - 2*g - 2081. Let b(r) = 2*k(r) + w(r). Find the second derivative of b(j) wrt j.\nAnswer: -510*j - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 60\/36 + (-61)\/(-3)?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3\/5*z**3 - 3\/5 - 9\/5*z**2 + 9\/5*z = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5121*j*p**2 - 6*j + 11*p**2 - p - 723 wrt j?\nAnswer: 5121*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13223 + 10?\nAnswer: 13233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0551957905 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 i when three letters picked without replacement from {l: 7, a: 3, p: 3, i: 2}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**11\/(i*i**(-4)) assuming i is positive.\nAnswer: i**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 11 = -5*p + 2, -13 = p + 3*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, t: 2, i: 3, o: 8, s: 5}. What is prob of sequence iio?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26468 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -19 - l**4 + 2*l**3 - 1\/5*l**5 - 5*l + 2*l**2. Determine o so that a(o) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2\/9 + (-136)\/(-36) and 10\/(-4)*(-140)\/50 - -152.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 22 = -5*q. Suppose -2*o + 7*o - 5 = 0. Find the common denominator of (-27)\/q*(-4 + o) and 19\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.60373\nAnswer: -2.41492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -0.03056147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67274 + 64394 = 45*s for s.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 0, -9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1176\/735)\/(4\/(-15))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 3*p + 5. Let w be y(-3). Suppose -7*n - 1477 = -3*l - 3*n, 5*n = w*l - 2470. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaeeeaeaaaaaaaaaea. What is prob of picking 2 e?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 428 = 7*h. Let m = h - 139. Which is smaller: m or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(66)\/sqrt(6)) + -3 + 1 + 0.\nAnswer: -2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 2*t**2 - 2*t**2 + (-2*t**2 + 3 - 3)*(-3 + 3 + 4).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/u**14)\/((u\/u**(-3\/8))\/(u\/((u*u*u**4\/u*u)\/u))) assuming u is positive.\nAnswer: u**(-139\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 11}. Give prob of sequence ll.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/9, -0.3, -8\/7, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4) - (-5 + 68\/16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 196815, 196816, 196817, 196818?\n\"Answer: i + 196814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 575 + -28751\/50. Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 813 + -975.9. Let n = d + 171. Let u = n + -8.1000049. What is u rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24781, -10841, 3099?\n\"Answer: 13940*u - 38721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20189512 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197415 is divided by 19741?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-10))\/((-5)\/(-50)*-1). Let f be (j\/(-44))\/((-2)\/(-4)). Let u be ((-2)\/(-2))\/(-2 + -1). Which is the closest to 0.05? (a) f (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + d - 7115 = -2*l, -3*l - 4*d = -7130. Is l a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 104 = 4*n. Suppose 66 = 24*b - n*b. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113508 smaller than 681055\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**2 - 1616*h + 163216 = 0.\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 2*u + 74. Suppose u = 2*z + 5*m - 4, -5*m + 15 = 0. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**5\/30 - 65*d**2. Let q(z) = -28*z. What is q(v(i))?\nAnswer: -56*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 4. Let b be v(-4). Suppose b = -3*d + 33 + 3. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -1.2. Let a = 529 + -1222. Let f = a - -691. What is the nearest to t in -1, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/45, 3, 5\/3, -2\/7, 4\/3 in ascending order.\nAnswer: -2\/7, -1\/45, 4\/3, 5\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 + -31 + -108 + 0 + -20 + 0?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 222, 226, 202, 144, 46?\n\"Answer: -c**3 - 8*c**2 + 35*c + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 0*f + 0*f - 12*f**2. Let v(o) = 190*o**2 - 18*o + 18. Let n(u) = -116*u**2 + 11*u - 11. Let d(w) = -18*n(w) - 11*v(w). Determine d(q(h)).\nAnswer: -288*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 8:17 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b770 + 2?\nAnswer: -8b76a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43139\/3367 - 74005\/91. Let r = o - -826. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -4*i + a, -a + 106 = i + 4*i. Suppose -5*r + 2*r + 27 = 0. Calculate the remainder when i is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41186 (base 12) in base 15?\nAnswer: -1a263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/15 and -73\/5140.\nAnswer: 15420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*q - 281599 + 34891 = -1832*q - 4226*q for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 1971*h**2 + 378288*h - 22563516.\nAnswer: 3*(h - 373)*(h - 142)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from zzzzzagzzqogzqm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131 - 16 - 69 + (3 + 1 - 3)*(-2 - 1 + 5))*(2 - 2 + 2*n**2 - 2*n).\nAnswer: 96*n**2 - 96*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 29.1. Let u = 0 - w. Let f = 0.09908 - u. What is f rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 12:48 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4678 from -1.04399.\nAnswer: -1.51179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 3, 5, -42?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14926\/(-714) + 10\/(-105).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5683*n**4 + n**3 + 6*n + 132202 with respect to n.\nAnswer: -22732*n**3 + 3*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19280086 to the nearest integer?\nAnswer: 4391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*g**2*t**3 + 54*g**2*t**2*u - 14*g**2*t**2 - g*t**3 + 1544494*t**3*u wrt g.\nAnswer: 64*t**3 + 108*t**2*u - 28*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 15*j + 25. Calculate k(10).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -404030 + -4?\nAnswer: -404034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -h + 2*h. Let w = h + -9. Suppose 2*n - 128 = -w*n. Is n a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(8\/38) - -4. Let d = -5 - y. Determine v, given that 11\/2*v**2 + d + 15\/4*v = 0.\nAnswer: -1\/2, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4714847*u**3 + 2*u**2 - 16997059*u wrt u?\nAnswer: 28289082*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, y: 1}. Give prob of picking 1 y and 1 q.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 197*k - 699. Does 37 divide g(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -5, -2\/9, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2\/5 + 210812*u\/5 - 2740387\/5 = 0.\nAnswer: 13, 210799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 9 = 5. Factor -55*w**k - 2*w**4 - 3*w - w**3 + 57*w**2 + 4*w.\nAnswer: -w*(w - 1)*(w + 1)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 416\/(-260)*(-5)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 18*o - 16. Let g be (-5)\/1*(1 - 2). Suppose g*u - 47 = -132. What is the units digit of l(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007684 to four decimal places.\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 r when three letters picked without replacement from {p: 1, r: 4, g: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -8*l**2 - 48*l + 327. Determine a(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68852120 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 2*n - 85863 = -85849, 5*n = 16*d + 56 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, d: 5, c: 1}. Give prob of sequence zdd.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -116*c**2 + 2 + 5*c + 236*c**2 - 4*c + 6*c**3 - 121*c**2 as k*c**3 + q*c + z*c**2 + g and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 3:33 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r - 128 = 17*r. Sort 2, r, -4, 3 in decreasing order.\nAnswer: 3, 2, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 70, 94, 110, 118, 118, 110?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 26. Let x be 30\/t*195918\/153. Let j = x + 4805. What is the common denominator of j and -1\/7?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 + 12 = 4*f + 2*p, 180 = 5*f - 5*p. Suppose 64 + f = 5*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3431 - 3580. Which is smaller: 7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111784 (base 11) to base 2\nAnswer: -101011011100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(14\/7) - 1. Sort -2, h, -1.\nAnswer: h, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y - 3 - y - y + y**3)*(28 - 28 - 4*y) to o + b*y**2 + z*y**4 + u*y**3 + q*y and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**6\/840 + r**5\/420 + 5*r**4\/168 + r**3\/14 - 5*r**2. Factor m(p).\nAnswer: -(p - 3)*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -38195295821?\nAnswer: 38195295821.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 1867*r - 7475. Give o(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 0, 4*l - d = -4*d + 48. Suppose 2*k + l = 6*k. Suppose k*o - 146 = 19. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32669368*r + 75208907?\nAnswer: 32669368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8023 is divided by 51?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 66264, 132536, 198808, 265080, 331352?\n\"Answer: 66272*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s**(2\/21))))**(-4)\/(s**(-2))**36 assuming s is positive.\nAnswer: s**(1420\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x = -8*x + 29449 + 5367. Calculate the highest common divisor of 576 and x.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*((v*v**(11\/4)*v*v)\/v)\/v*v*v*v**(-4)*v*(v**(2\/3))**23)**(-29) assuming v is positive.\nAnswer: v**(-6989\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 20 = o. Let w be (-58)\/(-10) - 1\/o. Suppose -6 = -4*u - w. Solve x - 4 = u, -5*t = 4*x - 7*x + 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5086\/91 or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 - 20172*t + 152591094.\nAnswer: 2*(t - 15129)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.5 (c) -2181 (d) 2\/9 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -1\/5 (c) 0.0873 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 4*h = 150. Let p be (3*h\/15)\/(4 + 1). What is the closest to -0.1 in -0.1, 0, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -w*z**3 + w*z**2 - 7*w - 1089187*z + 3446784 wrt z?\nAnswer: -3*w*z**2 + 2*w*z - 1089187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/11, 3\/8, -5, -0.1, -1\/4, -2082?\nAnswer: -2082","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 44?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**3 + 20 - 5 - 15 - 9*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 304\/11 - 14*u**2 - 2\/11*u**3 - 148\/11*u = 0?\nAnswer: -76, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (5 - (-2 - (-6 - -1))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1143600*d**3 + 739636?\nAnswer: -3430800*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-33)\/(-9) + -5)*-12. Solve 6 = -2*m + 5*u, g = 5*m + u + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 9:07 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 118908 divided by 6\nAnswer: 19818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 708 + -712. Let f be ((-155)\/35 - c)\/((-3)\/21). Solve 0 = -f*b + 11 + 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29358101, 29358102, 29358103, 29358104, 29358105?\nAnswer: 29358106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -0.104, 0.2, -2\/11, 18, -0.3, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3\/4 + 4623*l**2\/2 - 316965*l\/4 + 675393 = 0. What is l?\nAnswer: -3116, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*k = -4*b + 71108, 0 = -4*k + 16. Suppose -4904 = -4*f + b. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((1\/5)\/((-18)\/54))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1 - 3*o)*(-97 + 43 - 57).\nAnswer: 333*o - 222","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/3*42\/7. Solve 0 = n - 3*d - s, 0 = 4*d + d + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42614*s - 40 = -42606*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9684*a**2 - 9681*a**2 - 14*a**3 + 29040*a**2 - 9675*a**2.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 + 4*w. Let f(t) = -3*t**2 + 7*t. Let c(g) = -4*f(g) + 7*v(g). Let h(b) = -6*b. What is c(h(i))?\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3. Suppose -5*f = -2*p + 32, -5*p - 4*f + 11 = -3. Let t be p\/(-36) - 2\/(-3). Are t and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3277681386 rounded to four decimal places?\nAnswer: -0.3278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s + 1. Let o(n) be the first derivative of -n**4\/6 + n**3\/6 + 3*n**2\/2 + 2. Let k(v) be the second derivative of o(v). Calculate 5*k(y) - 6*w(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -126 + 108. Let q be 4\/t - (-8)\/(-126). What is the closest to -1 in 0, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2296*v**2 - 519*v**3 - 1153*v**2 - 1143*v**2.\nAnswer: -519*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 237 + -237. What is the closest to g in -0.2, -11\/5, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -705 - 1385 = -19*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 364\/91*(-18)\/(-48)*10\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 120 = -10*f. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**5\/60 + 11*j**4\/8 + 17*j**3\/3 + 6860*j**2. Factor f(w).\nAnswer: -(w - 34)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t. Let y(f) = -27*f**2 + 11. What is o(y(g))?\nAnswer: -270*g**2 + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 12. Suppose -8 = w - b*w. Suppose 0 = w*a - 960 + 228. List the prime factors of a.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/83, -0.1, -0.144, 2\/7, -2, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -8)*(3 - 1). Suppose -s*y = 3*y + 27. What are the prime factors of y\/(-2)*(-4)\/3 + 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55\/28141 - 1885227\/112564. Let t = 2576245\/94305774 - -2\/151617. Calculate the common denominator of m and t.\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.13 - 877.73. Round b to the nearest ten.\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2338713 is divided by 206?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Do 2\/3075745883 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 - 2*i**3 - 2*i**3)*(4*i - 4*i + 2*i) + 9 - 368*i**4 - 598*i**4 + 397*i**4.\nAnswer: -573*i**4 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2 - 30*q + 80. Let j(i) = -4*i + 15*i - i - 11*i. Let l(c) = 6*j(c) + x(c). Factor l(z).\nAnswer: 4*(z - 5)*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42255 - 160126?\nAnswer: -222403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1.95. Sort 0.4, 5, m in decreasing order.\nAnswer: 5, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27890 + 1?\nAnswer: -27889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1331 (base 6) to base 2.\nAnswer: -101010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 1128*h = 1129*h, 0 = -2*p - 3*h + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 - -8.1. Let k = -7.3 + n. Let f = 3.05 + -0.05. What is the biggest value in f, k, -2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*j + 242 - 385 = 47*j + 1232 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102021102101 (base 3) in base 12?\nAnswer: a8517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 3*y + 34 - 21*y + 0*y**2 - 2*y**2. Let q be l(-19). Solve n = -4*n + q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1795 + -1792. Let f(c) be the first derivative of -4\/3*c**y + c**4 + 4\/5*c**5 - 2\/3*c**6 + 0*c + 0*c**2 + 5. Determine j, given that f(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 928 and 929 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52104?\nAnswer: 2, 3, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -1014*l**2 + 21*l + 1084. Let r(v) = -253*v**2 + 5*v + 271. Let m(x) = -2*n(x) + 9*r(x). What is the first derivative of m(t) wrt t?\nAnswer: -498*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**3 - 26*y - 792 + 790 + 18*y + 5*y**2 to r*y + j + a*y**3 + p*y**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 51, 71, 107, 165, 251?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110001010100 - -11?\nAnswer: -111110001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i - 16. Let s(n) = 3*n + 3. Let g be s(2). Let k be l(g). Let p = k + -34. What is the closest to 0.1 in 1\/12, p, 2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7790580*o**3 - 4783994 wrt o?\nAnswer: 23371740*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.0504795 kilometers?\nAnswer: 50479500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(175))**2 - sqrt(7) - sqrt(7))*-1.\nAnswer: -4*sqrt(7) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6368 divided by 398?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/21)\/(6\/(-3)). Let h = 209\/535 - -1\/107. Put z, h, 2 in descending order.\nAnswer: 2, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0056545047 to five decimal places.\nAnswer: 0.00565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, c: 2, k: 9, q: 3, z: 1, t: 1}. Give prob of picking 2 k and 2 b.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 1 = 9. Suppose 0 = u*l - 13 - 5. Solve b - 4*b = 3*o - l, 0 = b - o - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 179, -2\/7.\nAnswer: -3\/4, -2\/7, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c - 2*c + 3 - c. Let u be b(-3). Suppose u = h + 5, 18 = 3*o - 3*h - 21. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152937482.\nAnswer: 2, 73, 449, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15\/4 (b) 4\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*x - w, x - 7*w + 3*w = 25. Suppose x*k + k = 130. Suppose -32 = -2*p - 2. Which is bigger: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6 = -5*b, 2*p + 9 = -3*b - p. Suppose 4*q + q + 5 = 0, 4*t + 4*q - 272 = b. Is t a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1455865 - -28?\nAnswer: 1456004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -0*n + 4*n. Let p = 10 + n. Suppose -2*l = -p - 8. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*j + 16 = -49*j. Suppose -2*l - 58 = -j*m - 4*l, 2*m - 2*l = 38. Calculate the remainder when m is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39981 + -6\nAnswer: -39987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318037847?\nAnswer: 43, 7396229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 5 - -10 - (2 + -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from aafffcccaffa?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (40\/(-80))\/((-20)\/(-24)). What is the third biggest value in b, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 4595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 18*s**2 - 15*s - 20. What are the prime factors of g(17)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 8 - 4, m - 2*x = 1435. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 7431?\nAnswer: -742d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 60*u**2 - 17*u + 2. Let s(x) = -61*x**2 + 17*x - 3. Let r(y) = 7*a(y) + 6*s(y). Is r(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, 2, 1, 0, 2423, -6 in increasing order.\nAnswer: -88, -6, 0, 1, 2, 2423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 2*i - 198 = 0. What is the smallest common multiple of i and 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times 0.11434?\nAnswer: 0.148642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - o - o + o)*(4*o**2 + 4 - 4).\nAnswer: -4*o**3 - 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 143, 507, 1225, 2417, 4203, 6703?\nAnswer: 10037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*d - 114 = 0, -136 = -4*v + 5*d + 62. Calculate the highest common factor of v and 14679.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azkzzkhizvhaavviia. What is prob of sequence hv?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 456.\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -63*s - 1\/10*s**5 + 5\/6*s**4 + 0 - 8\/3*s**3 + 4*s**2. Factor f(i).\nAnswer: -2*(i - 2)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 6*b - 180 = 0. Let u = b - -23. Solve 0 = r - u*r - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 4:15 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**3\/3 - 17*i**2\/2 - 37*i - 108. Let f be u(-3). Sort 1, -3, -8, f in ascending order.\nAnswer: -8, -3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10)*1\/((-19)\/76).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 4082*q - 77875. What is i(19)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 178 - (-6 - -113).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.1 (c) -117 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (51\/(-24) + 2\/16)*1*-3. Solve 4*t + l*t + 40 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1249*m + 1250*m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 229 + -199. What is the highest common divisor of o and 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6806272 divided by -704?\nAnswer: -9668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -33, -42, -63, -102, -165, -258, -387, -558?\n\"Answer: -b**3 - 2*b - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -3*z**5\/5 + 205*z**4\/4 + 157*z**3\/2 - 78*z**2 + 835*z. Factor g(c).\nAnswer: -3*(c - 52)*(c + 1)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27367, -27364, -27359, -27352, -27343?\nAnswer: -27332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -2499623.\nAnswer: 11\/2499623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 8:21 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13 and 319?\nAnswer: 4147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -3, 3, -168, -2.\nAnswer: -168, -3, -2, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119725671, 119725667, 119725661, 119725653, 119725643?\nAnswer: 119725631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 4:38 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822189 > 1822220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 - 11. Let h = 42 - u. Is (-2 + h + 0 + 1)*51 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s = 8. Let l be 1*-110*s\/4. Let k = l + -26. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02848475 to 3 decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i. Let p(y) = 13*y - 1. Let v(u) = -12*u + 1. Let s(d) = -2*p(d) - 3*v(d). What is 2*s(c) - 9*x(c)?\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-270)\/(-120))\/9*7\/(21\/(-516)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-4))\/((-13)\/52). Let l be (5 - 141) + (p - (1 - 0)). What is l rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t + 3. Let i(j) = -5*j + 5. Suppose -5*o - 28 = -8. Let x(r) = o*i(r) + 7*y(r). Give x(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -37. Let a(j) = -5*j**3 - 3*j**2 - 17*j - 3. Let m(p) = -p**2 - p - 1. Let k(l) = r*m(l) - 2*a(l). Find the second derivative of k(c) wrt c.\nAnswer: 60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -5 - 2*v - 1\/2*v**2. Give w(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/109 smaller than -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-315)\/2)\/63)\/(65\/4).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 5 (c) -0.017 (d) -11\/17 (e) -5 (f) -3.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 + 317\/3. Let k(t) = 23*t + 7. Let d be k(7). Suppose -7*c + 3*c + d = 0. Calculate the highest common factor of c and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 622 = -991 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 312662, -34, -1 in descending order.\nAnswer: 312662, -1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f**3 + 4*f + 3. Let l be o(-1). Solve -5*k + l + 1 = -3*j, -5*k = -4*j - 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(48)\/sqrt(4)))\/(sqrt(32)\/(sqrt(24)\/sqrt(3))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 665 and 4210.\nAnswer: 559930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112102022 (base 3) to base 5.\nAnswer: 314021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76951 is divided by 8351.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3*1\/(-33)). Differentiate 5 + 0*u**3 - 4*u**3 + 2*u**3 - x wrt u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from {j: 13, n: 3, c: 2, e: 1}?\nAnswer: 26\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghuhghguuhmhhvhhu. Give prob of sequence ggg.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21298*g*k**2 - 15*g*k + 253*k wrt k.\nAnswer: 42596*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f**3 + 2*f**4 + 2*f**2 - 433 + 220 + 216 + 2*f to j*f**4 + p*f**2 + r*f + n*f**3 + i and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -327, -1291, -2897, -5145, -8035, -11567?\n\"Answer: -321*n**2 - n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 0*s**4 + 1\/360*s**6 + 0*s**5 - s**2 + 0 - 1\/1008*s**8 + 0*s + 0*s**7 + 0*s**3. Find r, given that z(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(176)*-2 - (-1 + -1 + sqrt(176)))**2.\nAnswer: -9528 + 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10205, -10241, -10307, -10409, -10553, -10745, -10991, -11297?\n\"Answer: -o**3 - 9*o**2 - 2*o - 10193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2618 = 6*o + 111*o + 2*o. Which is the closest to o? (a) -0.2 (b) 2\/9 (c) -20 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**3 - 100611*f**2 + 1910526*f = 0. Calculate f.\nAnswer: 0, 19, 33518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 961 - 964.618. Let r = t - 22.352. Let p = -26 - r. What is p rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**3 + 1. Let p = -14 + 2. Let c be (-6)\/21*42\/p. What is v(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -510332040 by 4120.\nAnswer: -123867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 481*z = 543*z - 1139002. List the prime factors of z.\nAnswer: 18371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -40 - -963?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -260 + 260.00498. What is w rounded to 4 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-five eighths of a kilogram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -22*z - 262. Let k = -633 - -621. Let g be i(k). Put -32, g, 2\/9 in decreasing order.\nAnswer: g, 2\/9, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dssdrpddzr. What is prob of picking 1 d, 1 z, 1 s, and 1 p?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10668?\nAnswer: 2, 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 58299 divided by -18?\nAnswer: -19433\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1770 and 7755786.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 170, 2\/3, 5\/2, 2\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, -113, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q - 5 - 7*q**2 + 2*q**2 + 6*q**2. Give k(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -97, -2, -24, -9 in descending order.\nAnswer: -2, -3, -9, -24, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -dca1?\nAnswer: -dca4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - b850?\nAnswer: -b84b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32390679?\nAnswer: 3, 10796893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*v = -41*v + 3150. What are the prime factors of v?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 178662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**5\/60 + 2251*l**2 + 1. Let f be -3*1*4\/(-3). Let v(y) = -3 + y**2 - 5*y**2 + f. Calculate c(v(s)).\nAnswer: 16*s**4 - 8*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -0.04, -4\/5, 0.1.\nAnswer: -5, -1, -4\/5, -0.04, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 15. Let k = -13 - w. What is the closest to 1 in 3\/8, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 21 - 4 = 0. Let l be (2\/3)\/(-2*o\/45). Find the second derivative of 37 - 72 + 35*w**l + 34 + 12*w wrt w.\nAnswer: 210*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.09\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (119\/5)\/(4\/20). What is the first derivative of 172 - 295*k + f - 344 wrt k?\nAnswer: -295","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.5793 * -170.8\nAnswer: -782.14444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/24 + (-19)\/(-4). What is n in -4*n**m - 58*n**4 + 28*n**4 + 28*n**3 + 30*n**4 + 24*n**2 = 0?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3449 (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -203134042 + 0?\nAnswer: -203134042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12173713*k - 26225930?\nAnswer: 12173713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 + 78. Let p be ((-8)\/10)\/(4\/(-10)). Suppose -1 - p = -3*u. Is u greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46269601951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x*(x*x\/x**(-2\/7)*x*x)\/x)\/x)))**(2\/9)\/(x*x**1)**4)**(-13) assuming x is positive.\nAnswer: x**(5954\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 867160 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {k: 1, q: 1, s: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11101001020 (base 3) to base 15\nAnswer: -1a770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -14) + 51 + -11 + -19.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*c**3\/5 + 2304*c**2\/5 + 397062*c\/5.\nAnswer: -6*c*(c - 513)*(c + 129)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 59885969?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2299)*1)**2 + (2 + -2*sqrt(2299))**2 + 4 - ((0 + (sqrt(2299) - (sqrt(2299)*-1 - sqrt(2299))))*3 + 5)**2.\nAnswer: -156349 - 1078*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1, -1, -2.6498, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 8232 in decreasing order.\nAnswer: 8232, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 14*z - 16. Let w be x(11). Suppose 0 = 3*m - w - 16. Let n be 1\/(-5)*m\/11. Which is the nearest to 0? (a) -0.4 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1383146.\nAnswer: 2, 691573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -12*s + 54. Calculate the remainder when 42 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/12 and 14\/714*385\/(-10)?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(40)\/(sqrt(2) + (sqrt(2) - sqrt(6)\/sqrt(3))))\/(sqrt(256)\/sqrt(4)) - (4 + (sqrt(6480) - -3*sqrt(6480))\/sqrt(9))) + -4)**2.\nAnswer: 764*sqrt(5) + 183429\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 9:19 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -185662744 - -185551767.097. Let z = v - -110858. Let q = z + 119. Round q to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 28 - -7) + -2 + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1935691803.\nAnswer: 3, 71692289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-328)\/200)\/(2\/(-10)). Let m = x + -128\/15. Let p = -1.3 + 0.3. Which is the third smallest value? (a) -5\/4 (b) m (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - m + 15. Calculate p(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -5.4, 3, 2\/3, 9, 4, 7.\nAnswer: -5.4, -0.6, 2\/3, 3, 4, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.31 + -15.31. Let b = -16 - p. Is 0.06 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*529\nAnswer: -1058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 154 + -156. Let z = 0.06 - 0.36. Which is the second smallest value? (a) i (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(2) + 5 + 3)*6)**2.\nAnswer: 20736*sqrt(2) + 85536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 2*y**2 + 4*y + 3. Let z be k(-3). What is the units digit of 3 + z + (42 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17c1c - 3?\nAnswer: 17c19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 0*l**2 + 5*l**2)*(13*l + 5 - 5) + (-2*l + 0*l + 0*l)*(-l**2 + 0*l**2 + 0*l**2) + 2*l**3 + 0*l**3 - l**3 + l**3 - 3*l**3 + l**3.\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/49 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of ((77\/(-14))\/(-11))\/(-4 - 275445\/(-68860))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20430412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**2 + 0*l**2 - l**2 + 10 - 10 + 7*l**2 - 4*l**2 + 6*l**2 - 3*l**2 + (2*l - 3*l - l)*(2*l + 4 - 4) to the form m*l + f*l**2 + q and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.159 - -0.159. What is the biggest value in 2, h, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from hhmmh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13\/6 + 3\/2. Let j be (19 - (-2 + 11)) + -8. Let t(m) = -m**3 - m**2 + 11*m - 13. Let g be t(j). Which is the nearest to n? (a) -2\/5 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, g: 8, q: 5, h: 1, l: 2}. What is prob of sequence hq?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*q - 57 = 116, 4*q - 84 = -2*r. Suppose -y + r = y. Let m be (1 - -11)\/(4\/y). Calculate the greatest common divisor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 34.9. Let i = -5 + 2. Let m = i + t. Do -2 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 248 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 244 and 732?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**10*s**4)\/((s*s**7*s*s)\/(s*s*s**(-1))) assuming s is positive.\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(4)*1) - (1*sqrt(11) + -4)) + (-1 + -5 + -5*sqrt(22)\/sqrt(2))**2.\nAnswer: 60*sqrt(11) + 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.2 + -9.2. Let o = 217494406.99999945 - 217494398. Let v = o - c. What is v rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*x + 8*x + 55 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from {r: 2, y: 10}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 398?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 140 + 787 + 607*l**3 + 728*l**3 + 1735*l**3 + 110*l**3 with respect to l.\nAnswer: 9540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 6*t**2 + 19*t - 114. Let n be g(6). Round n to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45842421029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v. Let s(l) be the second derivative of -l**5\/60 - l**3\/6 + 4*l. Let o(g) be the second derivative of s(g). Calculate o(w(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 36370, 33347, 28308, 21253, 12182?\n\"Answer: -1008*o**2 + o + 37377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 2*k + 31. Calculate z(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 775 is divided by (-5 - (-129 - -7))*(-10)\/(-15)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, v: 15}. What is prob of sequence vv?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - x + 3*x)*((0 + 9 + 1)*(4 - 4 - 1) - 4 + 2 + 3 + 10 + 5 - 8)*(7*x**2 + 14*x**2 - 8*x**2).\nAnswer: -26*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Let k = 55 + -54.7. Put -1, s, k in descending order.\nAnswer: s, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/4)\/(1 + 6\/(-12)). Suppose 0 = -3*c - j*c + 2*c. Suppose -4*r + c*r - 2*m + 34 = 0, -4*r + 3*m = -49. Solve i = p - 3*i + 10, -2*p - r = -3*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1382025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4438 + 11562 = -125*w. What is the nearest to w in 0.2, 3, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110.1 - -110. Let b = 0.7 + -0.2. What is the closest to t in 5, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/125 + -2561\/250. Let s = -1307\/2 + 650. Find the common denominator of g and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjnj. Give prob of sequence jjj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1294 * 5.\nAnswer: -6470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 0*i**2 + 7*i**2 + (0*i**2 + 0*i**2 - 2*i**2)*(4 + 5 + 1) + 4*i + 2*i**2 - 4*i + (1 + 0 + 0)*(2 - 2 - i**2).\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*g - 789 - 1464 = 115 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122 - -246. Suppose -4*q + 9*q = -2*g + 78, 4*q - a = -3*g. Calculate the highest common factor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -10*y**2 + 285*y + 3186. Determine w(37).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 0, 2 in decreasing order.\nAnswer: 2, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (16\/16)\/(3\/34971) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6354 + 11386. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 558 and 50695974?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -908*d**2 + 883*d**2 - 2 + 2.\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 11*j = -6. Let a = 1 + j. Solve -9 = 6*q - a*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 + -6 - 8)*(-2)\/6. Suppose t*d + 10 = 3. Sort 2, d, 40 in descending order.\nAnswer: 40, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.22 - -0.12. Are -4 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q + 11. Let d(s) = 4 + 0*s + s - 10. Let w be -3 + 27\/(-4 - -1) + 1. Calculate w*d(a) - 6*u(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -383, -698, -1129, -1670, -2315?\nAnswer: -3058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 6 + 42 + -35?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -34, -65, -114, -187, -290?\n\"Answer: -k**3 - 12*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 269231.00012 - 269206. Let s = 25 - p. Round s to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Suppose -4*c + 71 = 79. What is the nearest to -1\/3 in c, g, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 26*a**2 + 4*a + 8. Suppose -2*u + 12*u = 260. Let v be c(u). What is the greatest common divisor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 7:59 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**3 - 3*x**3 + x**3 + (x - 2*x**2 - x)*(2*x + 3*x - 7*x) - x**2 + x**2 + x**3 + (-5*x + 7*x - 4*x)*(-3*x + 5*x + x)*(1 - 1 + 2*x)*(-2 + 4 + 0).\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -92 (base 11) to base 7\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/66 and (-1)\/(-22)*1212\/(16 + -28).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0072876+3473\nAnswer: 3472.9927124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 9*c - 7. Let x = -22 - -19. Which is smaller: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*sqrt(5) + sqrt(5) + 5*sqrt(35)\/sqrt(7) - (1 + -4*sqrt(500) + -1))**2*4.\nAnswer: 1376*sqrt(5) + 37044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.9137 + -0.0357. Round i to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -66, -79 in ascending order.\nAnswer: -79, -66, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 0. Let g(l) = 2*l + 3. What is the remainder when g(7) is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/10*49*(-190)\/532?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - -7. Suppose -2*o - 92 = 4*h, -o = h + x + 1. Let r = o + 178. List the prime factors of r.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 3:13 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**5\/(p\/(p\/((p*p*p**(-1\/8))\/p))))\/(p**0\/p**0))\/((p**(-1))**(-46))**(-48) assuming p is positive.\nAnswer: p**(17697\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -2 - sqrt(128))**2 - sqrt(18)\/sqrt(36).\nAnswer: -sqrt(2)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273772?\nAnswer: 2, 68443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3230734302 to the power of 1\/3, to the nearest integer?\nAnswer: 1478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2275*j**3*n - 1988*j**3 wrt n?\nAnswer: 2275*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -34.1. What is u rounded to one dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 156.45 + -156.972. What is the closest to -2 in 0.5, 0.2, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + (-4600)\/(-390))*(-9)\/(-12)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 4. Let c(j) = -j + 4 + 1 + 2 + 0*j. Let r be c(5). Suppose 3*z + t + 17 = 0, -3*z + 0*t + r*t = 20. What is g(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (686*b**2 - 686*b**2 + 3*b**3)*(0 + 3 - 4 + (-5 + 5 + 2)*(-3 + 3 - 1) - 3 + 2 + 0).\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.55, -13, -3, -5 in increasing order.\nAnswer: -13, -5, -3, -0.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 3)*1\/6. Let z = 327 + -3919\/12. Let h = z - w. What is the third smallest value in h, -3, -1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515 = 8*w + 443 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - c**2 + c - 34. Let i be 1 + (-1 + 3)\/(-2). Let x be a(i). Let f = 20 - x. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = -6*a - 11 + 14, 9 = -5*v - 3*a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v**3 - 3*v**2 - 5. Let h(b) be the third derivative of 13*b**6\/60 - 2*b**5\/15 - 7*b**3\/3 + 2*b**2. Determine 5*h(l) - 14*k(l).\nAnswer: 4*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 8*n + 468 = -4*n, 3*a = 5*n + 266. Let v(h) = 25*h + a*h - 19*h + 69*h - 23*h. Let j(l) = -l**2. Determine v(j(t)).\nAnswer: -144*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 4 - 46 + 17 + 9 + 8 + 16.\nAnswer: -p + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 59*i**2 - 28*i + 161. What are the prime factors of z(60)?\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 4809996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42f5 (base 16) to base 15.\nAnswer: -512b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + (156 - 0 - -4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 26 - 2. Let i(d) = -d**3 - d**2 + 16. Let f be i(0). Let w be ((-4)\/(-8))\/(1\/f). Solve -3*x + 1 + w = 3*b, 4*x - 2*b = z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-1*2) - -29. Suppose -5*y - 62 = 3*s, 2*y + s + 20 = -4. Does 7 divide 5\/y + i\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*u**2 - 6055*u**3 - 163*u**2 + 84*u**2.\nAnswer: -6055*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9375 = 29*p + 73409 - 399187. What is the highest common factor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19 + -24 + 3\/(-9))*-228?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -8 + 123 + -213.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1766*n + 237*n + 36068 + 21678 = -218*n for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2675 times -105?\nAnswer: -280875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 + 249. Suppose 25 = -k*p + 178*p. What is the remainder when 25 is divided by ((-19)\/2 + p)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7599072?\nAnswer: 2, 3, 13, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2 - 2*h + 1. Let k(s) = -s + 17. Let i be k(12). Let u(c) = -9*c**2 + 5*c - 2. Let q = -4 + 6. Calculate i*v(t) + q*u(t).\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 23382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-3 - 1)\/(-4)) - -3. Solve l + 2*t = 12, -3*t - x*t + 17 = -4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19807\/18756 - -1\/2084. Let x = -49647\/10220 - -4\/511. Find the common denominator of x and z.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85802246?\nAnswer: 2, 83, 149, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/15*48\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2236926 to the nearest integer?\nAnswer: 1496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/4))**39)**5*(c*c\/((c*c*c*c\/c**(-1))\/c))**(2\/7)\/((c*c*c**(-8))\/c**3) assuming c is positive.\nAnswer: c**(1601\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*m - 618301 + 618595 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612)*1 + 5.\nAnswer: 5 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f*i**3*m**2 + 3448*f*i**3*x - f*i**3 + 3*f*i**2 - i**3*m**2*x - i**2*m**2 - 116*i wrt x?\nAnswer: 3448*f*i**3 - i**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201, 629, 1271, 2121, 3173, 4421?\nAnswer: 5859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j - j**4 - 4*j + (-3*j**2 + 24*j**2 - 5*j**2)*(4*j**2 + j - j) to the form w*j + a*j**3 + m*j**4 + p*j**2 + s and give m.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2038552, -2038632, -2038766, -2038954, -2039196, -2039492?\n\"Answer: -27*o**2 + o - 2038526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, 63, 3, 4, -5 in descending order.\nAnswer: 63, 6, 4, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 542, 509, 436, 323, 170, -23, -256?\n\"Answer: -20*y**2 + 27*y + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 14*n**2 + 3*n - 2. Let a be t(1). Let r = -29 + a. Which is greater: r or -15?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvqqqvqqqy. Give prob of sequence vvq.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from {n: 1, e: 5, x: 14}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14647, -29291, -43933, -58573, -73211?\nAnswer: -87847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93882756 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**2*k)*k**(-1\/9)*k*k**(-6)\/(k**(1\/6)\/k))\/((k**2)**(-4\/19))**(-1\/38) assuming k is positive.\nAnswer: k**(-40865\/6498)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 134\/11 - 801\/110. Let f = 119\/40 + x. Calculate the common denominator of f and -73\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17\/42 in -1\/4, 2\/15, 1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1949465202?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 + 29*q**3 + 8*q**3.\nAnswer: 37*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/2))**(-23\/3)*(c\/c**(2\/7))\/((c**(-1\/7)*c*c)\/c))\/((c**(-1))**(-1\/18)\/(c**(-1\/4))**(-1\/3)) assuming c is positive.\nAnswer: c**(937\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-144)\/648 + (-29)\/(-90). Let q = 0.94 + -1.2. Put q, x, -2\/7 in increasing order.\nAnswer: -2\/7, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.60916 nanometers to millimeters.\nAnswer: 0.00000960916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681852 is divided by 9470?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 54*u**2 - 60*u - 225. Determine o(-53).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62994927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -117*u + u**2 + 8*u - 8*u - 8*u - 122*u + 22 in the form o + i*u + t*u**2 and give i.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 3. Let h = 3 + t. Let u be (4 + h - 4) + 67. Calculate the greatest common factor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/12)\/(63\/(-56)). Suppose -28 + 29 = -103*t + 104. Which is the nearest to r? (a) 0.5 (b) 4 (c) 3 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4425047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13216473, -13216472, -13216471, -13216470, -13216469?\n\"Answer: v - 13216474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3249 from 6.\nAnswer: -3243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -36*l**2 - 1438*l + 1560. Determine u(-41).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 809852461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1094 - 3.2094. What is the second biggest value in 0.1, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3056\/(-18)*-44 + (-4)\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 13, 20, 41, 82, 149?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 72212 (base 10) to base 11\nAnswer: 4a288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4484093 is divided by 3906?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1447?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3539809 * -0.054.\nAnswer: 191149.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 5*y + 2. Let r be d(4). Is 88\/r*(-6)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrqp when four letters picked without replacement from qprpqwq?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 254 - 256. Which is the nearest to -3? (a) w (b) -0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 521292 and 780?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 28 = -3*m + 5*n, 3*n = 6. Let i(y) = 2*y**2 - y. Let s(z) = 2*z**2 - 2*z. Let h(p) = m*i(p) + 5*s(p). Factor h(l).\nAnswer: -2*l*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -183\/20 - -47\/5. Which is the closest to 2? (a) -5 (b) -0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**2 + 2*q - 1. Let z be (-6)\/4*(-2)\/3. Let f be v(z). Suppose -f*u = -3*u. Is -1 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 934 + -284. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 17. Suppose -3*l + 15 = -m*l. Suppose -7*q = -4*c - 4*q + 148, 3*c - 82 = -l*q. Calculate the highest common divisor of 170 and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41.0000027 - 41. What is l rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1590 + 2708. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 0.04219564\nAnswer: -0.29536948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 25*q - 290. Which is smaller: q or -637?\nAnswer: -637","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1 - -3) + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -6?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -12. Suppose -r - 28 = -4*a. Is 8 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -12*i**2. Let a(f) be the second derivative of 11*f**3\/6 - 74*f. Give q(a(h)).\nAnswer: -1452*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15493576 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(104)*-4)\/(((1*sqrt(144))\/sqrt(9))\/sqrt(2))*-2*3)**2 + 5.\nAnswer: 119813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*f**2 + 299*f**2 + 18*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107839 + 8946*c**3 - 112652 - 2*c**2 + 1401*c**3 wrt c.\nAnswer: 62082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/27)\/(14\/189*3) + (-1387)\/38\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3600 and 360?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2710 and 575062.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221222212011 (base 3) to base 2.\nAnswer: -11111110101010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -65. Suppose a*o = o - 16. Does 21 divide (-2)\/o*-34*(2 + -9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4 + 44. Let p = 9 - s. Let z(o) = o**3 + 5*o**2 - o + 2. Let d(t) = -2*t**3 - 11*t**2 + 2*t - 4. Let x(y) = -2*d(y) - 5*z(y). What is x(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35933.47 litres to millilitres.\nAnswer: 35933470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, g: 1, p: 3, w: 11, e: 1}. Give prob of picking 1 i and 1 w.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - h + 19 = 3*r, -5*h = -2*r - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24755, 49239, 73721, 98201, 122679?\n\"Answer: -l**2 + 24487*l + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fiffffituttflllt. Give prob of picking 1 f, 1 u, 1 i, and 1 t.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 299, 598, 897?\n\"Answer: 299*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*b - 9. Suppose -b*l + 10 + 38 = 0. 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: Solve 0 = 5*k - 4*m - 24, -4*k + 5*k + 4*m = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.532692 rounded to one dp?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -27f1 (base 16) to base 10\nAnswer: -10225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020934567 to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459 + 475 = -4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwzziznzzzwwzszzs. Give prob of picking 2 w and 2 s.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -40.379 * 3084\nAnswer: -124528.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 4*s + 2*a - 168, -s - 2*a = -45. Suppose -j - 37 + s = 0. Solve -3 - 1 = -j*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**6\/24 - 65*v**4\/24 - 10*v**3 - 852*v**2 + 1. Factor s(c).\nAnswer: 5*(c - 4)*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 632133471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8545177*p**4 - 6927*p + 235?\nAnswer: 102542124*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 290.7725474 + -610.7725756. Let a = 320 + v. What is a rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5816756063?\nAnswer: 2689, 2163167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1557082?\nAnswer: 2, 778541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gukggqguguuggkgkgg. What is prob of picking 2 k?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f - 11*f + 3*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 5*n**2 - 5*n - 1. Let i be l(-4). Suppose -m - 3 - i = 0. Let j be ((-9)\/(-6))\/(m\/(-8)). Which is greater: j or -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*s = -4*a - 17, -2*s = 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 284555 (base 9) in base 12?\nAnswer: 84805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-44)\/(-55))\/(0 + (-2)\/(-15)). Suppose r*i = 2*s + 8*i + 572, i = -1. What is s rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3478387000 to the nearest 1000000.\nAnswer: 3478000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0)*(63*t**4 - 63*t**4 - 76*t**4) as m + l*t**2 + n*t + u*t**4 + z*t**3 and give u.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -64\/5 (b) -2\/9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66\/1409 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*(sqrt(180) + -4 + sqrt(180)) + -3*(sqrt(5) + 5) + (sqrt(15)\/(sqrt(3)*-1) - sqrt(5)))**2.\nAnswer: -6250*sqrt(5) + 78750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d + 39 = 139 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -701 - -851. Is n a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 118*y + 15. Let n(x) = -47*x - 6. Let d(m) = -5*n(m) - 2*r(m). Suppose -2*l + 10 = 3*l. Let c(z) = -5*z**l + 29*z**2 + 10*z**2. Give c(d(v)).\nAnswer: 34*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7597\/1240 + 1\/620. Let w be -21 + 17 - (-12050)\/252. Let j = 1087\/21 - w. What is the common denominator of j and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 9, 1, 61, 0 in descending order.\nAnswer: 61, 9, 3, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*16*(-25)\/(-11400)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3562\/2184)\/(2\/(-4)) and -43\/8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h**2 + 18*h - 27. Let b(d) = -3*d**2 - 8*d + 12. Let t(x) = 9*b(x) + 4*c(x). Let n be 0 + 1 + -1 - -2. Let p(w) = -n*w - 3*w + w. Give p(t(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*f - 4*d + 35, -4*f = -5*d + 28. Let v = f - -18. Let u = v + 25. What is the highest common factor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101.5 - 102. What is the second smallest value in 0.1, 7, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 9:10 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 7 + 2 + (0 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*v**6 - 283*v**4 + 3*v**3 + 30790*v**2 - v - 2?\nAnswer: 1920*v**3 - 6792*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**2 - d + 1. Let y = 8 - 6. Let q(k) = 2*k**2. Let i = -3671 - -3676. Determine i*q(u) + y*b(u).\nAnswer: 2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + 6*n**2 + n - 4. Let l(z) = 3*z**3 + 6*z**2 + z - 5. Let m(j) = 4*c(j) - 3*l(j). What is the units digit of m(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0657 and 2893.9?\nAnswer: 190.12923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.19, 2, 3?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 e when four letters picked without replacement from kekekeeeklkekelkek.\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(0*n + n + 3 - 28*n**2 + 30*n**2).\nAnswer: -2*n**2 - n - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58.8 - 58.5. Sort 2, 2\/9, b in descending order.\nAnswer: 2, b, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*w**2 + 41*w - 93*w**2 + 7 + 2 - w**3.\nAnswer: -w**3 - 132*w**2 + 41*w + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 2\/9, 14359, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -98*q**6\/5 + 41*q**4\/3 - 7*q - 11. Find the third derivative of n(z) wrt z.\nAnswer: -14112*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 3374*c + 89640.\nAnswer: 2*(c + 27)*(c + 1660)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osffsdffoooffffsdf. Give prob of picking 2 o and 1 s.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-4\/5)*r*r**(1\/4)\/r)**(2\/23))**(-27) assuming r is positive.\nAnswer: r**(-1107\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {l: 1, v: 1, y: 2, m: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 20867 + 13*p - 20867. Give w(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-5)*(-465)\/(-186). Let b = -680.7 - -681. What is the nearest to c in -0.013, b, 5?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413998 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145254 (base 11) to base 7.\nAnswer: -1632362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8834?\nAnswer: 2, 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148510 divided by 10441?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 2:20 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43113533 (base 6) to base 4.\nAnswer: 10311332001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x. Suppose -186 = 23*a - 29*a. Let u(w) = -a*w**2 + 15*w**2 + 5*w**2. Determine u(d(t)).\nAnswer: -275*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*g - 0*b + 71, 4*g - 46 = 2*b. Let o = 13 - g. What is the tens digit of (o\/(-3))\/(1\/78)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -80, 3\/4, -5, 0.5, 0.936?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*z - 32*z - 10. What is the biggest value in z, -126, 4, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1014 and 156?\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/75)\/((-638)\/(-2871)))\/(((-18)\/4)\/3).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 249, 289, 349, 429, 529, 649?\nAnswer: 789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1678573*q - 1668448?\nAnswer: 1678573","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k + 21*k = 585. Suppose -5*h - k*g + 13*g - 25380 = 0, 25380 = -5*h - g. What is h rounded to the nearest 100?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 + d + 1. Let u be (-10)\/(2\/8*1). Calculate the remainder when (((-152)\/u)\/(1\/5))\/1 is divided by y(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1 - 2*b + 36 + b + 0. Let d be z(27). What is the greatest common divisor of 70 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -140 + 0?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-63)\/(-30))\/(18\/(-10))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7201, -7217, -7235, -7255, -7277, -7301, -7327?\nAnswer: -7355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0049637 to 4 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -21*a**3 + 10*a**2 - 9*a - 52. Let y be n(-4). What is the greatest common divisor of 60 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.005 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85445 and 206554?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(15\/6)*25\/115?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12111112201 + -12?\nAnswer: -12111112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 - -3.9. Let f = 0.12 - -5.18. Let z = f + -5.4. Which is bigger: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 5376 = -59*w. Calculate the highest common divisor of 119 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44 or 31?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 432. Let p(u) = -2*u + 1294. Calculate -3*p(n) + 8*x(n).\nAnswer: -2*n - 426","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 3.561, -0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -143 - -145. Factor 0 + 0*j - 4\/7*j**l + 2\/7*j**3.\nAnswer: 2*j**2*(j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 2. Suppose -2*z - r - r + 8 = 0, 2*r - 4 = -z. Suppose -2*n - 14 = -a - z*a, 5*n - 19 = -a. Solve -y = -m*y - a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-99)*(-21)\/(-28).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-96)\/18 + 3 + 3. Let s(z) be the third derivative of 0 + 0*z**4 - 1\/15*z**5 - u*z**3 - 5*z**2 + 0*z. Differentiate s(m) wrt m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 - 62.019856. What is y rounded to 3 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11883 - -5?\nAnswer: -11877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 + 94*h + 248. What is n(49)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 7*v**2 + 2*v - 4. Let x be w(7). Let l(y) = y**2 + 14*y - 2. Let r be l(-16). What is the highest common divisor of r and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3 + 3. Let u = 1386 - 869. Suppose -5*c + u = -4*x, t*c - 235 + 33 = 4*x. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 274 = -175. Solve 9*y + 0 = s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212.6707576 rounded to two decimal places?\nAnswer: -212.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - g + 0*g - 752 = 0, 5*w - 4*g - 3764 = 0. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8801340*w**3 - 6272008*w**2 + 581904*w + 209952.\nAnswer: 4*(15*w + 2)*(383*w - 162)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(14)\/sqrt(2) - sqrt(7))*-1 + -2))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 3*k**2 - 3. Let g be y(-2). Which is the nearest to g? (a) -3\/7 (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from {e: 3, i: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1358700 rounded to the nearest 10000?\nAnswer: -1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -503, -986, -1453, -1898, -2315?\nAnswer: -2698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1 - (8 + -3 + (-3 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10670500.1 less than 326.8946?\nAnswer: -10670173.2054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -4, 1, -2\/13, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*g + 80 = -45*g. Let x be (-6)\/g + (-2405)\/(-3640). What is the fourth biggest value in x, 23, 0.4, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + x + 5. Give r(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 9*b - 60. Let a(g) = -22*g + 144. Let p(f) = 5*a(f) + 12*k(f). Give p(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24390269*p**5 + 13821815*p**2.\nAnswer: -1463416140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42576264 is divided by 241?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011 + -10100?\nAnswer: -111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 106680 divided by 28?\nAnswer: 3810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 + 181 = -49*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)*c**(1\/32)*c*c\/c**(3\/16)*c*(c**(-8\/17)\/c)\/c)**(-28) assuming c is positive.\nAnswer: c**(-2509\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwfuuqmwfukkkuwuukuq. What is prob of picking 2 u and 1 m?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**3 - 4*p**3 - 5*p**3 - 6*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19175 and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 1877247774446?\nAnswer: -1877247774454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -18346 at most as big as -18351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126.3899 decades to centuries.\nAnswer: 12.63899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*-1*-2*4)\/(sqrt(99)\/(-1*sqrt(576) + sqrt(576) + sqrt(576))).\nAnswer: 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 193*o**2 - 13*o + 15. Let a(x) = 96*x**2 - 6*x + 7. Give 13*a(l) - 6*t(l).\nAnswer: 90*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 6. Suppose 0 = 2*q - 3 - y. Suppose -g - q*g = -155. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnzzvtdb. Give prob of sequence vb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7104150 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 110238\/42 + 15\/(-21). Which is bigger: 2623 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + -13. Let v = -16 - a. Suppose 9 + 27 = v*g. Calculate the lowest common multiple of 28 and g.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*a - 734, -a + 38 = u - 144. Let x = u - 177. Suppose -j - 3*j + 12 = 0. Solve j*f + 3 = x*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15076*n - 4824*n - 153780 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21 - 4) + 2 - 7. Suppose 40 = -t*h - 128. Let r(m) = -m**3 - 13*m**2 + 15*m + 8. Give r(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 1951?\nAnswer: -1956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12782 + 12830. Let k(c) = 7*c**2 - 2*c. Let b be k(-2). Calculate the highest common factor of b and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**3. Let f be d(-1). Suppose f*i - 6*i - 10 = 0. Let r = i - -33. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 231851227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4925, 4932, 4941, 4952, 4965, 4980?\nAnswer: 4997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 * 14.4\nAnswer: 15.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - y**2. Let l(b) = -6*b**3 - 3*b**2 + 1. Let c(x) = 2*j(x) - l(x). Let o(i) = -i**2 + i - 1. Let k be o(0). What is c(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4915, 9830, 14745, 19660, 24575?\n\"Answer: 4915*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2576 - 2542. What is the highest common factor of 34 and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-12))\/((5 + -4)*2\/(-8))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.21 and 554560126?\nAnswer: 554560126.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2116\/(-506) - 4\/(-22). Sort 5, h, 2, -162 in descending order.\nAnswer: 5, 2, h, -162","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*(sqrt(25) + -2*sqrt(25))\/sqrt(5) - 6*(sqrt(45)\/(sqrt(9) + sqrt(18)\/sqrt(2)) - sqrt(5))))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/((-60)\/32))\/(6\/(-63)). Suppose 64*j + 32*j**2 + 6*j**4 - f*j**3 - 4*j**4 + 5*j**4 - 3*j**4 = 0. Calculate j.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8166.\nAnswer: 2, 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12045 and 133155.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2124\/55 + -1816\/55. Determine k, given that 4\/5*k**5 + 56\/5*k**3 - 12*k + 36\/5 - d*k**4 - 8\/5*k**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -7. Let o = 2.8 + n. Let x(v) = -5*v + 81. Let d be x(17). What is the closest to o in d, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/56 and 23\/105.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 55. Suppose a - 4 = 0, 1 = n - 2*a + 7. Suppose 5*c - 3*y = -y + 1256, -2*y = n*c - 508. Calculate the highest common divisor of f and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -222*n - 4107 - 12*n**2 + 9*n**2 + 0*n**2.\nAnswer: -3*(n + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0051469989 to 5 decimal places.\nAnswer: -0.00515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (25\/(-9) - -5). What is the second smallest value in b, 3, -3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 9*a**2 - 10*a + 12. List the prime factors of w(-8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**3 + 49*s**2 - 50*s - 225. What is v(-13)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 8) to base 5.\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 967\/(-11) + 20\/(-220). Let l = -88 - a. Solve -2*m + l*q = q - 1, 0 = 5*m - 4*q + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*c - 3*c**2 + 7*c + 2*c**3 + c**2 - 2*c.\nAnswer: 2*c*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*a - 62*a + 127*a - 648771 = 0. Is a a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95527 + 64407. What is w rounded to the nearest one thousand?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1645 divided by 3.\nAnswer: -1645\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a**2 + 3*a**2 + a**2 + 4*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*p - 57, 3*p - k + 10 = -24. Let f(m) = -14*m + 11. Let v(l) = 5*l - 4. Calculate p*v(q) - 4*f(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yayrriyysrziyiyyryra. Give prob of sequence siyi.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q + 3. Let k be i(-2). Let j be 15\/((-4 + 3)*k). Calculate the greatest common factor of 120 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20941*j**2 - 41878*j**2 + 20939*j**2 + 3.\nAnswer: 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 539780 divided by -53978?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i + 23. Let o(f) = 18*f - 93. What is 6*o(g) + 22*z(g)?\nAnswer: -2*g - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d + 134. Let s be z(-14). Suppose t - s - 62 = 0. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -582\nAnswer: 5\/582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7813297?\nAnswer: 7813297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15297?\nAnswer: 3, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -5, -0.1, -399?\nAnswer: -399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -54. Suppose -w*q - 4*q = -1372. What is the greatest common factor of 147 and q?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Let r be 1 - ((-3 - (-4)\/4) + 1). Suppose -n - h = v, h + h = r*n. Solve n*i = 3*i + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 100060*d - 500275.\nAnswer: -(d + 5)*(d + 100055)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 98\/(-34) + -18 + 21. Which is the nearest to 1? (a) -0.08 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 568321, 568314, 568307?\n\"Answer: -7*y + 568328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by -36281\nAnswer: 45\/36281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1096.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2087*o + 23501 = -15735 - 25461 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**36*c)\/c**4)**34 assuming c is positive.\nAnswer: c**1156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1480, -1468, -1426, -1342, -1204, -1000, -718?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**3*w + l**3 + 342*l*w - 228*l with respect to w.\nAnswer: 2*l**3 + 342*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-32) - (-14)\/8. What is the third derivative of -m**2 + 13*m**3 + 5*m**3 - n*m**3 - 2*m**2 wrt m?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k - 38*k = 18 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13 + 3)\/(1 + -2). Let a = q - -36. Suppose 2*f - 6*f = j - a, -5*j + 2*f = -12. Put j, -4, 5 in ascending order.\nAnswer: -4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.085581 weeks to nanoseconds.\nAnswer: 51759388800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3857.45454151 + -3888.554543. Let u = 31.1 + k. What is u rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(110\/455)*(-660)\/(-770)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -139 - -138. What is the nearest to -1\/6 in 5, 3, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0015 - -0.7275. Let n = -0.33 + 1.03. Let o = j - n. Round o to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c + 12. Let u(a) = a**2 + 5*a + 8. Give u(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 8, -15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15071 + -5211?\nAnswer: 7660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1594, -1534, -1472, -1408, -1342, -1274?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2614301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 2*b**3\/3 + 2. Let z(g) = -g**2 - g - 6. Let s(v) = 8*v**2 + 7*v + 42. Let n(l) = -3*s(l) - 21*z(l). Calculate f(n(c)).\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -360124769.52 and 0.4?\nAnswer: 360124769.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t + 20*t = 152. Suppose -t*p - 2*i + 18264 = 0, 5*i + 22831 = 5*p + 7*i. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 6*t**2 - 5*t - 6. Suppose 0 = 3*b - 4 - 17. Does 3 divide p(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**4\/4 - 11*c**3\/6 + 2*c**2 - 8*c. Let o be f(10). Suppose o = 3*k + 20. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, z: 6, y: 1, m: 6, q: 2}. What is prob of sequence mlzy?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/8 + 1948\/8. Let f = z - 789\/4. Calculate the common denominator of 6\/28*(-218)\/(-6) and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (241 - 241 + 11*k**2)*(4 - 3 + 1 + (-43 - 34 + 19)*(3 - 4 + 0)).\nAnswer: 660*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515439582.\nAnswer: 2, 3, 7, 311, 39461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001894868 to 5 dps.\nAnswer: -0.00189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 - n. Let f be z(1). Suppose 1 = v + 5*y, -2*v = 3*v - 5*y - 5. Let r be v*-1 + (4 - -2). Sort -2, f, r in decreasing order.\nAnswer: r, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**4 - 4880*o**3\/3 + 36170*o**2 - 20080*o\/3 - 27853 = 0.\nAnswer: -7\/9, 1, 23, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/(-8) + (2 - (-27)\/(-12)). Suppose -g*j + 145 = 2*d, 4*d - 13 = 7. What is the remainder when j is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105153645 to the power of 1\/3, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(3240\/96))\/(6*(-3)\/(-81))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26847*b**2 + b + 7687*b**2 - b.\nAnswer: 34534*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 57, 65, 69, 63, 41, -3, -75?\n\"Answer: -x**3 + 4*x**2 + 3*x + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 41160*k**2 - 123444*k.\nAnswer: -4*k*(k + 3)*(k + 10287)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13961039.\nAnswer: 107, 130477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 459115?\nAnswer: -6\/91823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 11) to base 14\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**4\/5 - 13664*r**3\/5 + 2732*r**2 + 13664*r\/5 - 13662\/5 = 0.\nAnswer: -1, 1, 6831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1620895554 divided by -6\nAnswer: 270149259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from kqkkkkkkkkkkkkqkkqkk?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 674 divide 365311375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from zzanaanndn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - c = -267, -2*u - 3*c = -128 + 42. Let x(z) = 2*z**2 - 2*z - 5. Calculate the remainder when u is divided by x(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6192 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.25 + -0.15. Let d = 1.6 + j. What is the second smallest value in 8, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4443 (base 5) to base 3\nAnswer: 212002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126795?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59058?\nAnswer: 2, 3, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -203005, -203090, -203219, -203386, -203585, -203810, -204055?\n\"Answer: h**3 - 28*h**2 - 8*h - 202970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, 1033, 20 in decreasing order.\nAnswer: 1033, 20, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -2, -86, -4, -198 in decreasing order.\nAnswer: -2, -4, -39, -86, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1722 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -9) + -4 + 4. What is the highest common divisor of 200 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*o + 227. Let x = 287 - o. Calculate the highest common factor of 180 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0 = -4. Let l be -3*(t - (-3)\/1). Let c = -4 - l. Solve 0 = g - 3*g + c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -56364 and 671366791.\nAnswer: 671310427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1. Let z(i) = i**2 + 5*i + 2. Let j(l) = 4*q(l) + z(l). Let k be j(-6). Let h be 22\/k - (-1)\/(-2). Solve -f - 4 = -h*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8429 = 207*w + 7187 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2146356626569 + -15.9.\nAnswer: -2146356626584.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*i = 12. Suppose 7 - 9 + i*s + 4 - 5*s**2 = 0. What is s?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -190.7?\nAnswer: 191.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -483. Let q be -6 + 3 + 6\/((-6)\/(-3)). Suppose 5*x + f + 49 = q. Round x to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 137*c**3 - c**2 - 5*c + 8. Does 29 divide i(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u - 57. Let h be (-24)\/(-10) - (-2)\/(-5). Suppose -3*v + 5*t = 8, -h*t + 2 = -4*v + 10. Calculate the remainder when y(24) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 567*j - 4. Let i(z) = 5*z**2 - 470. Calculate p(i(n)).\nAnswer: 2835*n**2 - 266494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 57 + 52 - 109.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17312 + 100\/(-20) + (-1 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4381250 and 2500?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*w*x*z + 2*a*w*z**3 + a*w*z + 29*a*w + 4*a - 2*w*z**2 - 29140*x*z**3 + 4*x wrt z?\nAnswer: 12*a*w - 174840*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 78168?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150857433?\nAnswer: 3, 3739, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 - 3*h**2 - 3*h - 2 - h**2. Let q be b(-1). Suppose -4*u + 131 = -5*j, 3*j = -q*j + 15. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 356578742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1848 and 12576333.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t + 2*f, 0 = -4*t + 4*f. Suppose 6*x - 18*x + 48 = 0. Differentiate t*b + 2*b**x + 0*b + 8 - 25 wrt b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 5*d**4\/24 + 85*d**2\/2 - 76. Let p(v) be the second derivative of s(v). Let m(a) = 15*a**2. What is m(p(n))?\nAnswer: 375*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -36 - (-21 + -25 + 56)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 6 and 50\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(7) + 3)**2 - sqrt(77)\/sqrt(275).\nAnswer: 39*sqrt(7)\/5 + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1508 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**5 + 32*i**3 + 1073*i**2.\nAnswer: -180*i**2 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/6 + 13*b\/6 + 19.\nAnswer: -(b - 19)*(b + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3 - 3)*((c**2 - c**2 + c**3)*(c - 2*c + 0*c) - 4*c**3 + 4*c**4 + 4*c**3).\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(72) + 1*(sqrt(72) + (sqrt(72)*1 - sqrt(72))) + sqrt(72))**2 + ((sqrt(72) + sqrt(72) + 0)*4)**2.\nAnswer: 5253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**4 + 25*j**3\/2 - 9*j**2 + 28*j + 11. Let q(a) be the first derivative of n(a). Factor q(y).\nAnswer: -3*(y - 6)*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 104?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -829*x**3 - x**2 - 2 - 7*x + 841*x**3 + 14*x as s*x**3 + m + i*x**2 + o*x and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 2. Let i(a) = -1189*a**2 - 2*a - 4. Calculate i(d) + 2*p(d).\nAnswer: -1189*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.3 * 0.761.\nAnswer: 14.6873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117\/(-4))\/(((-1)\/20)\/((-6)\/(-30))).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + 1 + 5)*-3)**2 + (6*sqrt(36)\/(sqrt(12) + (sqrt(12) - (sqrt(12) + sqrt(432)*5)) + sqrt(12) - sqrt(12)))**2.\nAnswer: 216*sqrt(3) + 363420\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 9. Suppose -13*x + 9*x + 32 = r. Let m = 10 + x. Solve 5*i = -2*w + m, -2*w = 3*i - 3*w - 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1365.7450278 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121915942?\nAnswer: 2, 17, 29, 61, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1179, -1493, -2023, -2775, -3755, -4969?\n\"Answer: -t**3 - 102*t**2 - t - 1075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -21*o + 15. Let k be u(5). Let m = -83 - k. Let l(w) = -w - m + 24 - 9 - 7. Give l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001243 rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -135*m*q**6 - 2*m*q**2 - 3*m + 4*q**6 - q + 403 wrt q.\nAnswer: -16200*m*q**3 + 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4332, -17085, -38270, -67887, -105936?\nAnswer: -152417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/5*2 + -1)*-3. Let d(t) = 10*t**2 - 5 + 3*t + 2*t**3 - t**3 - 4. List the prime factors of d(k).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -5\/2*h**2 + 10*h + 1\/6*h**4 + 0 - 1\/3*h**3. Does 3 divide z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6053 and -4.\nAnswer: 24212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/55*1\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202650.6 milligrams to micrograms.\nAnswer: 202650600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.3, 0.11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u + 34 = 3*d, 5*d = -5*u + 40. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 7:57 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -482*c + 352*c - 502*c in the form z + l*c and give l.\nAnswer: -632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1653191.69 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 643 + -681. Let n be 8\/o*2\/(8 - 12). Suppose -4*x - 4 = -v + 15, -4*v + 5*x + 43 = 0. Which is the smallest value? (a) v (b) n (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*q**3 - 15*q**3 + 13*q + 18*q**3 wrt q.\nAnswer: 78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5560)\/834*(-8)\/(-32).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 117\/((-4446)\/(-760))*(-2)\/(-2)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1201200210211000?\nAnswer: -1201200210210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 28764.66 milligrams?\nAnswer: 28764660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -182279444.8 and 0.3?\nAnswer: 182279445.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 5*m**2 + 2. Calculate y(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.061 - 646298925.\nAnswer: -646298924.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-8)\/(-14)) + 3\/6. Suppose -417 = -4*x - 5*k, -x - 2*k + 88 = -g*k. Is x a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1194 times 28985\nAnswer: 34608090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*v + 383*v + 514*v = 108*v - 9690 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*w + 41*w - 2. Suppose 5*n - w = -4*p, 0 = 3*p + 4*n - 2 - 0. Which is the second smallest value? (a) -3 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185a (base 12) to base 13\nAnswer: 145c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88377225 to the power of 1\/3, to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.64652049 to four decimal places.\nAnswer: -0.6465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.646 + -3.646. Let r = 2.69 + -2.8. What is the closest to -2 in c, r, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2 - 20*f + 105. Calculate a(5).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**7\/210 - 11*k**5\/20 + k**4\/12 - 311*k**3\/6 - 7*k**2 + 85*k. Find the second derivative of w(m) wrt m.\nAnswer: -12*m**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + n - 4, -73*n - 5 = b - 75*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*2 - sqrt(104))*1)\/sqrt(8) - 1*(1*sqrt(13) + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 69300 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 18 = 4*a. Suppose a - 35 = 4*x. Let y = x + 8. Calculate the lowest common multiple of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**3 + 3115*q**2 - 15690980*q + 31369460 = 0.\nAnswer: -2111, 2, 1486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5)*10\/8*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Suppose 3*k + z*b = -k + 1496, 3*k - 3*b - 1143 = 0. Suppose -4*j + 376 = -4*m, 3*j + j - k = 3*m. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*s + g - 63, 4*g = -2*s - 56. Let z be s\/88 + (-14)\/8. Which is the closest to -1? (a) 1 (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.72 + -11.7203205. What is g rounded to five dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*q - 24, c - 4*c = 5*q + 22. Does 14 divide 1 - (-105)\/((-6)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 4*z - 15. Suppose 16 - 1 = 5*k. Calculate the lowest common multiple of c(k) and -15*((-20)\/(-15) + -2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 914 divide 167280280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/(-26) - 9\/702*12. Suppose -20 = 4*l, -f - 3*l - 7 - z = 0. Solve -2*o + 4*o = -2*q + 14, -3*q + 2*o = -f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 30 (b) 4 (c) 2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9190.\nAnswer: 2, 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 5:49 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 61236?\nAnswer: 61243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 548160390 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 23072.96 milligrams?\nAnswer: 23072960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 + 31*g - 861. Calculate y(-31).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6361 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x + 38. Let n(l) = 2*l**2 - 12*l - 11. Let v be n(6). Let i be w(v). Solve 0 = -3*k + 2*d - 4, -i*k = 4*d - 3*d + 11 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1014 + -1019. Let i(l) = -8*l - 1. Let u be i(1). Sort d, 3, u.\nAnswer: u, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (74\/2627)\/((-2058)\/(-994))?\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 22398 - 4942 = 0. Suppose 27*f - a = 23*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3810463823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9*h**2 + 2*h. Let o be -4 - (1 - 6\/2). List the prime factors of r(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/5)*f**1*((f**0*f)\/f)**(2\/29))**19)**(-37) assuming f is positive.\nAnswer: f**(-4921\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11036 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 518199?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o**4\/3 + 852*o**3 + 13062*o**2 + 112196*o\/3 + 17264 = 0. Calculate o.\nAnswer: -166, -13, -3, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 723.1512cm?\nAnswer: 7231.512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -15*c + 10. Let u be 4\/(((-8)\/(-50))\/((-8)\/(-20))). Solve 4*l + 3*d - 13 = -5, -c*l = 3*d - u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0*(-1 + 2))\/1. Suppose w = -0*m + 2*m - 8. Let t = -8 - -13. Solve 0 = 5*p - l + t*l - 15, m*p - 21 = -5*l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*b - 15 = -2*l + 60*b, 4*b - 12 = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddid when four letters picked without replacement from dididiiddi.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 808\/35 - 114\/5. Let 0 - 2\/7*a**3 + 2\/7*a - 2\/7*a**2 + p*a**4 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*y + 20 = -0*y, -2*o = -3*y - 8. Suppose 0*r + o = r. Let b be (-1)\/(-4) - (-1)\/r. Which is smaller: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8360685ms in seconds?\nAnswer: 0.0008360685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -81*t**3 + 118*t**2 + 7*t - 7. Let a(f) = 27*f**3 - 39*f**2 - 2*f + 2. Let m(k) = 7*a(k) + 2*r(k). Find the third derivative of m(x) wrt x.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*k**2 - 19 + 230*k**3 - 66 - 158*k**3 + 85 in the form i*k**2 + l*k**3 + o*k + d and give l.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1332 - 12220?\nAnswer: -10333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1174561 rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-151 - -162) + 5 + 2\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 2, 0.9, -72 in descending order.\nAnswer: 5, 4, 2, 0.9, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567639.\nAnswer: 3, 59, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = -v. Let x(g) = 2*g**2 - 42*g - 39. Let i be x(22). Sort 2, i, v.\nAnswer: v, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1766\/40 - (-50)\/28000*-84?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 10*b**2 - 4*b**2)*(1 - 1 - b**3) + 151*b**2 - 42*b**5 - 151*b**2.\nAnswer: -28*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.29128 millilitres to litres.\nAnswer: 0.06729128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 292769 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 171 (base 12) to base 15\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 33, -24, -99, -192, -303, -432, -579?\n\"Answer: -9*s**2 - 30*s + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 5:35 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*m**3 - 18*m**2 - 123*m**3 + 7*m**2.\nAnswer: 44*m**3 - 11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 times 12109?\nAnswer: 375379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4964 - -4963. What is the nearest to -1\/3 in a, 0.4, 2\/11, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 2. Let j be g(-2). Let f = -103 - -102.8. Sort f, 0.5, j in descending order.\nAnswer: 0.5, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 4*u - 28, -2*f - 3*f + 28 = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*i - 333*i - 86 = -42*k, 2*i - 144*k + 140*k - 2 = -6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b2836 (base 12) to base 16.\nAnswer: -ef12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 373574394 a multiple of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 >= 5468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**8\/560 - 2*l**7\/175 - 11*l**6\/200 - 3*l**5\/50 - 72*l**2. Factor u(o).\nAnswer: 3*o**2*(o - 6)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (171\/(-126))\/19 - (-82)\/(-28)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x - 5*x**2 + 144 - 3*x - 3*x - 124 to the form v*x + d*x**2 + z and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f - 28. Let c(u) = -u**3 + 9*u**2 - 2*u + 34. What is the remainder when z(-8) is divided by c(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 484\/7? (a) 90 (b) 1 (c) -0.5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -51\/2. Which is greater: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 5 + 1 = 4*k, 2*k = 2*t - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 l, and 1 o when three letters picked without replacement from {l: 1, p: 1, o: 2, q: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.7 in -2\/5, 5, 17, -0.3, 8, -14.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - q + 3. Let m be b(1). Let k(j) = -2*j. Let d(g) = g**3 - 3*g. Calculate m*k(i) - 2*d(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4514 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((15\/3)\/(-35)))\/(-5).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1507?\nAnswer: 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z + 17. Let w be v(5). Let q be (-4 - -1) + w - -6. Suppose q*g - 60 = -g. Calculate the smallest common multiple of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1803)\/6)\/1*-4792. Suppose -j = -0*j + 5*h - 720020, 2*j - h = z. What is j rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 16. Let a(f) = -3*f**3 + 6*f**2 + f + 6. Let i(h) = 4*h**3 - 7*h**2 - h - 7. Let s(p) = z*a(p) - 6*i(p). Find the second derivative of s(q) wrt q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26422379041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.4 - -0.8. Let d = -11.1 - s. What is d rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4 + f + f**2 + 7 - 2*f**2. Let t(k) = -4*k**2 + 2*k + 10. Let d(i) = 7*a(i) - 2*t(i). Let q be (4\/(36\/15))\/(31\/(-93)). Give d(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123901, -247187, -370473, -493759?\nAnswer: -617045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**3 - 4*o**2 - o - 8. Let m(h) = 3*h - 6. Let w be m(4). Let r(n) = -8*n**3 + 5*n**2 + n + 9. Let f(c) = w*r(c) + 7*u(c). Is 15 a factor of f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -149 - -149.411. What is w rounded to two dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -30. Calculate the remainder when (48\/k)\/((-2)\/(-7)) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t**2 + 100*t. Let w(h) = 2*h. What is i(w(l))?\nAnswer: -24*l**2 + 200*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3*(39\/(-27))\/(-14 + 13)\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -12422.\nAnswer: 6211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -261921.9919 + 261741.9918909. Let w = 517 - 337. Let i = w + o. Round i to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 7*k + 1. Let h be n(-8). Suppose -h*p = -454 - 482. Let r = 6 + 15. What is the remainder when p is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -272*l - 98 + 33 + 32 + 117*l**2 + 33 wrt l?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*d - 145 = -8*d, -2*f = -5*d + 265. Let g be 2\/(-3)*f\/16. Solve -3*j + 4*o + 18 = 0, 1 = -0*j + g*j + 3*o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = r - 0*r + 57, 4*o = 3*r + 155. Let b be 21\/r - (-34)\/14. Solve c - w - 6 + 3 = 0, -b*w - 10 = -3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 352 + -196. Let z = o - -62. Suppose 4*r = -3*t + z, -100 = -2*r + 4*t - t. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22.2931984 and -0.1?\nAnswer: -2.22931984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.12 (b) -0.13 (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62748 and 306684?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1774 is divided by 102?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1699\nAnswer: 2\/1699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.19, 2, -2\/13, 0.14 in ascending order.\nAnswer: -2\/13, 0.14, 0.19, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -55878, -55820, -55720, -55578, -55394?\n\"Answer: 21*n**2 - 5*n - 55894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18832?\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 411, 583, 515, 213, -317, -1069, -2037?\n\"Answer: b**3 - 126*b**2 + 543*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*f + 46 = f, 5*w + 5*f = -95. Let y = w + 36. What is the highest common divisor of y and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 528968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2))**39)**(7\/11)*(q\/q**(1\/7)*q\/(q**(1\/3)*q))\/(((q*q*q*q**(1\/2)\/q*q)\/q)\/(((q\/(q*q*q*q*q**(-7)*q*q*q))\/q)\/q)) assuming q is positive.\nAnswer: q**(-12841\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 19*h + 16*h - 5, -4*m + 84 = 4*h. Suppose 12*i = m*i - 50. Solve 18 = 4*d + i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3905 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/3)*m*m\/(((m**(-14)*m*m)\/m)\/m) assuming m is positive.\nAnswer: m**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2719, 5439, 8159, 10879, 13599?\n\"Answer: 2720*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -22*z - 271. Give l(-30).\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 19640 (base 10) to base 16\nAnswer: 4cb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -452 + 468. Which is smaller: 17 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.068161, 5.98, 0, -1\/4?\nAnswer: 0.068161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10660 and 11809200?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67.9999816 - 68. What is v rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3*v - 12 = 0, -5*z - 15 = 2*v + 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105 + 103. Let w = -6 - k. What is the second biggest value in 9, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/36 - (1326\/(-36) - -34)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-7\/4))\/((b*b**(2\/89))\/b*b*b*b))**(-3\/20) assuming b is positive.\nAnswer: b**(291\/7120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + (sqrt(931) - (0 + (sqrt(931) - (sqrt(931) + 1)))) + -3*(sqrt(931) + 1 + sqrt(931)) + 3) + -5)**2.\nAnswer: -70*sqrt(19) + 23276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -14, -739, -57, 9.\nAnswer: -739, -57, -14, -2, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -35*f**3\/2 + 355*f**2 - 1780*f + 480 = 0.\nAnswer: 2\/7, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**2 + 7*r**2 + 4*r**2 - r**3 + 0*r**2 = 0?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -1\/122 (c) 32\/129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 410 - -48861?\nAnswer: 50371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 + 161. What is the common denominator of ((-3)\/9)\/(5\/r) and -26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**6\/90 + 19*f**3\/6 + 9*f. Let s(z) be the second derivative of y(z). Let q(g) = -g**2. What is s(q(w))?\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -996447 divided by 1739.\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 64.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156086 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.3 and 33?\nAnswer: 174.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 315058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + -1*sqrt(48))*-1 + sqrt(48).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 4*y**2 - 3*y - 3. Let c(p) = -p**3 + p + 1. Let q(g) = 3*c(g) + d(g). Find o, given that q(o) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3841?\nAnswer: 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (10 + 3 + -38)) + 103 - (-20 + 6).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -893, -1566, -1913, -1772, -981, 622, 3199, 6912?\nAnswer: 11923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9424157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**7\/(b*b*b*b*b**6*b)*b**(-6)\/b**(3\/2) assuming b is positive.\nAnswer: b**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 2*v**2 + v + 1. Let x be c(2). Suppose 8 = 5*u + x. Let q(h) = 9*h - 2. What is the lowest common multiple of q(u) and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + (13 - 6))\/(((-180)\/(-28))\/(-5))?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 16 = -4*t, 3*t = 5*l + 7*t + 8. Let r be (l\/(-6))\/(10\/45). Suppose -4 = -i - r*h + 7*h, i - 4 = 2*h. Sort 5, -2, 2, i in increasing order.\nAnswer: -2, 2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 2*g**6\/5 + g**2 + 3*g + 11. Let y(c) be the first derivative of p(c). What is the first derivative of y(x) wrt x?\nAnswer: 48*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13\/39)\/(2\/154). Let i = o - 26. Does i = 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 846 = 8*v - 3506. Let l = 837 - v. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by -32*42\/(-168)*(-1 - (-82)\/4)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2493 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2436, 2820, 3466, 4380, 5568, 7036, 8790?\n\"Answer: o**3 + 125*o**2 + 2*o + 2308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4, 0 = -j + 6*k - k. Suppose -4*a + 12 = -2*a + 4*m, -5*a + j = 5*m. What is the remainder when 13 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 102 + -13812?\nAnswer: -13710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3)*q*q*(q*q**(-3))\/q*q*q)**23 assuming q is positive.\nAnswer: q**(115\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * 30622.\nAnswer: -612.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5288 = -3*m + 392. Let s = m - -21228\/13. Which is smaller: -0.3 or s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -10210212112?\nAnswer: 10210212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/16)\/(3\/8). Let y be (b + -3)\/((-3)\/(-15)). Let j = -2 - -1.9. What is the third biggest value in j, 0.2, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 + 79. Suppose 2*w - 1 = -g*y + y, -y + 3*w = -4. Solve 2 - 9 = 4*n + 3*l, y = -4*n - 5*l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 785*a**4 - 124*a**3 - 11*a**2 - a + 32599314 wrt a.\nAnswer: 9420*a**2 - 744*a - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006682 to 7 dps.\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 11 + 12 + 3686586*j**2.\nAnswer: 3686586*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqqq. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1314 - 1310. Suppose 5*b - 45 = 2*f - 4*f, -2*b + 5*f = -18. Suppose b = -3*q - 3, -5*j + 296 = -x*q. What is the remainder when j is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(704) - sqrt(704))**2 + 4 + -4.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6755643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/12 and 71\/5756148?\nAnswer: 5756148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 40. Let k = -10235 + 10235. What is the nearest to 0.2 in h, -17, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 0*h + 0 + 0*h**4 + 0*h**3 + 1\/30*h**5 - 3*h**2. Let n(s) = -3*s**2. What is n(p(l))?\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -14*a - 126. Let w(y) = -9. Determine h(g) - 8*w(g).\nAnswer: -14*g - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**2 - 25362*k - 50736 = 0.\nAnswer: -2, 8456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -2. Suppose -2*c + 1 - 7 = h. Find the common denominator of (-303)\/(-105) - c\/(-5) and 48\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85482039 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + (-1 - -5) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5731 - -11461\/2. Sort 0, -3\/5, k in decreasing order.\nAnswer: 0, k, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*0.4.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 15373 = -i + 1345, 35070 = 5*a + 6*i. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38101093?\nAnswer: 38101093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**6\/30 + q**4\/3 + 6*q**2. Find the second derivative of y(w) wrt w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*(-4)\/(-108) - (1 - 1). Let 1\/3*f**2 + m - 2\/3*f = 0. Calculate f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*p + 7*p + 12*p)*(-8 + 24 + 4 + 0 + 2 + 0 - 4 - 2 + 3 + (3 + 2 - 3)*(-1 - 1 + 0)).\nAnswer: -120*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/3 - 14*f - 220\/3 = 0.\nAnswer: -11, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 277\/(-204) - 12\/(-9). Is n greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*((sqrt(300) - (sqrt(300) + 1)*-5)**2 + 0) + 2*(6*(sqrt(300)*-2*3 + sqrt(300)))**2).\nAnswer: -9600*sqrt(3) + 1986800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 84 - (-9)\/(-45)*(-5)\/(-1). Which is bigger: y or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - -12. What is the remainder when 43 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16706, 33656, 50606, 67556, 84506?\nAnswer: 101456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87900658 to the nearest integer?\nAnswer: 9376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -154 + 319. Which is bigger: 164 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Suppose 4*d + 4*q - 28 = l, 3*q = -3*d + 2*d + 7. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11325 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 246 and 254 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/43845 and 107\/175380.\nAnswer: 175380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 107880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((z\/(z*z**5))\/z))*z*z*z\/z**0)**12\/((z**3*z*z)\/(z\/(z\/(z*z**(-6)))*z)*z**(2\/5)\/(z\/(z\/((z*z**(-2\/11)\/z*z)\/z)))) assuming z is positive.\nAnswer: z**(-2507\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 + -0.21. Let k = 5.5 - 3.5. What is the nearest to k in 4, u, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -38\/117, 7, -3, 1\/4, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 540, 1197, 2100, 3243, 4620, 6225, 8052?\nAnswer: 10095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2. Let n(g) = -2*g**2. Suppose 5*s = -7 - 13. Let k(q) = 5*q**2. Let b(l) = s*k(l) - 11*n(l). Give c(b(j)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 s when four letters picked without replacement from sssssrsssssssssssrss.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-8)*(-64)\/(-6). Suppose 3*z - 12 = 3*a, -5*z + 0*a + i = -3*a. Suppose 0*f = -z*f + 498. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c - 21. Let i be b(-5). What is the fourth biggest value in i, 0.1, 0.3, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1. Let i be (-1*n)\/(3\/(-6)). What is the third derivative of 2*j**2 + i*j**6 - 4*j**2 + j**6 wrt j?\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 5*p - 84518, 4*t - 62062 = -3*p + 22452. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1623068 is divided by 359?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 381, 3 in ascending order.\nAnswer: 0, 3, 381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6567307, 6567286, 6567265, 6567244, 6567223?\n\"Answer: -21*h + 6567328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90.8454 - -91.03. Are 0 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36646 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9, -25, -53, -93, -145, -209, -285?\n\"Answer: -6*f**2 + 2*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -2*f**3\/21 - 898*f**2\/7 - 403202*f\/7 + 2353. Factor h(y).\nAnswer: -2*(y + 449)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118 + -543. Let x = 429 + r. Which is the closest to -6? (a) 5 (b) -3 (c) x (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 203429161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**6\/120 - q**5\/60 - q**4\/24 + q**3\/6 + 2*q**2. Let k be r(2). Let m(h) = -3*h - 3*h + 1 + 2 + 5*h. Determine m(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56893610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*f + 37, -2*s - 13 = -3*f + 3*s. Let c(x) = -10*x + 4. List the prime factors of c(f).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12724669 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*30\/(-30030)*13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 + 8 = 2*s. Let t = -473 + 477. Suppose t*l = 225 - s. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 5*d + 0*d + 3*d as x*d + t and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/25*86 + -2. Let q = w - 15. Find the common denominator of q and -1\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 3. Let p be (2 - 2)*(0 + -3)\/(-3). Suppose p = -0*u + b*u - 15. Let k(m) = m**2 - 3*m - 7. Give k(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - c + 8 + 17 = 0, 418*d - 197*d = 186*d - 4*c + 208 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -345, -681, -1119, -1659, -2301, -3045?\nAnswer: -3891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4539*a - 4539*a + 1668*a**2.\nAnswer: 1668*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 5*m**3\/3 - m**2\/2 - 2*m + 2. What is i(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2526*x**2 + 2588*x**2 + x - x + 4584*x**2.\nAnswer: 9698*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -48*a + 41. Calculate b(5).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407, 1629, 3667, 6521?\nAnswer: 10191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + -223312203?\nAnswer: -223312301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 37 = 113. Solve -146*f - t = -140*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(77) + 3*sqrt(77)) - sqrt(77))\/(3*sqrt(343)))**2.\nAnswer: 1331\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 64 + 64 + 110 - 35*r - 306 + 67.\nAnswer: -29*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.00572, 12, 0.04 in descending order.\nAnswer: 12, 0.5, 0.04, 0.00572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:26 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w = b - 2, -4*w = -5*b - 46. Let h = 2 - b. Suppose h = -2*p + 3*p. Calculate the highest common factor of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b - 44*b = 6*m + 126, -2*m + 3*b = -2*m for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/69 (b) 4 (c) -61480\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(2*(-12)\/16). Suppose 3*l - 3 = 4*a, -l = -2*a - f*l + 21. Put -10, a, 1 in decreasing order.\nAnswer: a, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2604 - 15*x**3 + 2604 + 2*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 - -1.49. Let j = 0.5 - v. Which is the biggest value? (a) -2\/9 (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 496434*i**4 - 861843*i?\nAnswer: 5957208*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 11641*z - 453953. Give x(39).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4014 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 3:25 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 1264, 28, -10 in descending order.\nAnswer: 1264, 28, 15, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8254 + 8261. Solve -f - t = -s, -2*s = 2*f + 9 - 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304*f**2 + 312*f**2 - 635*f**2.\nAnswer: -19*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 12:44 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -7*j - 8. What is the common denominator of 85*j\/(-8) - -3 - -3 and 0 + (-1)\/((-8)\/146)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 18 = -3*r. Let l = 2763\/7 - 394. What is the common denominator of l and 4\/r - (-2400)\/378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*j**3 - 481*j*w**2 - 71600*w**2 wrt j.\nAnswer: 93*j**2 - 481*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53 - 128) + 68 + (0 - (2 + -40))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 113 = 7*u + 3*n, u + n - 27 = 0. What is the remainder when 93 is divided by u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 + 140 = 4*s. Let z be 1 + -4 + s + 4. What is the greatest common factor of 44 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -6*g. Suppose 4*r - 3*z - 160 = -g*r, 0 = 3*r - z - 125. Suppose -r*u + 41*u = -138. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five halves of a decade?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 216130379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2153 (base 8) to base 15\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 9\/1942 (c) -1 (d) -329\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36*f - 1983 + 162*f + 652*f wrt f?\nAnswer: 850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00874492 rounded to five dps?\nAnswer: -0.00874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w - 4*o + 292 = 0, -2*w = -5*o - 118. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(((d**9\/d*d)\/d*d)\/d)\/d*d*d*d)\/d)\/(d*d*d\/(((d\/d**(2\/3))\/d)\/d)*d*d)*d**(1\/12)\/d**0 assuming d is positive.\nAnswer: d**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.23 (b) 0 (c) -0.3 (d) 2\/3 (e) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - 531?\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/20*(2 - 2). Let c = i + -2. Let t(g) = 47*g**2 + 4. Let m be t(c). What is the greatest common divisor of 24 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 10 + -17 - (-56 + 39).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 + 7 - 4*h - 7*h with respect to h.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 118.51 and 1.5.\nAnswer: 120.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m. Let x(a) = 5*a**3 + 5*a - 5. Let u(h) = 5*f(h) - x(h). Differentiate u(i) wrt i.\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2*p**3 - 80*p - 27*p + 12*p + 6 as v + k*p**3 + y*p + u*p**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ff4e9 (base 16) to base 13.\nAnswer: -2a7ca4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5))**(9\/2) assuming s is positive.\nAnswer: s**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 8*s + 11. Let q be y(9). Let x be (-1)\/5 + 524\/q. Let t = x - 24. What is the highest common divisor of 22 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1288109.\nAnswer: 1288109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117272 + 221733. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/9*3)\/(3063478191\/180204579 - 17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98 - 86) + 192\/(-15).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkgglzgkeekg. What is prob of picking 1 z, 1 l, 1 g, and 1 k?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from aebbbbeeeevbeeb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/7 + 416*l\/7 + 10816\/7.\nAnswer: 4*(l + 52)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 466 + -466 - (2 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 4.4. Let v = c - -0.5. Is 3 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4725288539 to the nearest integer?\nAnswer: 68741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10102 - 12011?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 312925 less than -6?\nAnswer: -312931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**3*l**4 - 316*k**3*l**3 + 4*k**3 - 2*k**2*l**2 + 7*k**2 - 5*k wrt l?\nAnswer: 48*k**3*l - 1896*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159 + -135. What is the smallest common multiple of y and 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 3*p**2 + 12*p - 12. Let n be y(5). Let b be n - ((-4 - -44) + 3). Let f be 2 - 9\/(b\/10). Solve -4*i - 4*r = 0, -r + 9 = -4*i + f*r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152*x**2 + 33*x**2 - 431*x**2 - 381*x**2 to the form b*x + i + n*x**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188208, 188207, 188204, 188199, 188192, 188183?\nAnswer: 188172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 - 9*v. Let c(s) = s**2 - s. Let b(n) = -n**2 + 5*n + 57. Let o be b(11). What is o*c(m) + w(m)?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 101 = 59. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -13*b. Let g be z(-5). Let s = -1783 + 1720. Let x = g + s. Let t(q) = -4*q - 4. Let u(m) = -4*m - 3. What is x*t(l) - 3*u(l)?\nAnswer: 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 233867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 29. Let v(u) = -2*u + 1. Let j(b) = -b**3 - 1. Calculate h*v(y) + 2*j(y).\nAnswer: -2*y**3 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 5*o + 2*o - 61*o**3 + 60*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/49 + 45\/98. Let s be (1 - -2)\/(189\/(-36)). Sort g, 14, s in increasing order.\nAnswer: s, g, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2242227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 141b1 - -2a?\nAnswer: 1421b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -49.48637 and -4?\nAnswer: 197.94548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/24)\/(2\/(-4)). Let j(w) = -3*w**2 - 10*w**3 + h - 2*w + 0 + 9*w**3. What is j(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 16*j**2 - 32*j - 3. Let v(t) = -47*t**2 + 95*t + 8. Let a(s) = -8*i(s) - 3*v(s). What is the second derivative of a(o) wrt o?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {o: 1, a: 4, c: 2, j: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*o - 4*o - 1976. What is the greatest common divisor of o and 1748?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*o**3 + 677*o + 284*o - 16*o**3 + 894*o + 141*o**4 - 22*o**3 wrt o.\nAnswer: 1692*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 178*s - 181*s + 20592. Suppose 28*p - 6*p - s = 0. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -59900.0044.\nAnswer: -59898.0044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**3 + 3*n**2 - 1. Let m be 2\/5*(-6 + 1). Let c be r(m). Suppose -j + 5*d = 4*j - c, 0 = -4*j + 5*d + 27. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 3, d: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 18*u**3 + 30*u**3)*(u**2 + 5*u**2 - 4*u**2) + 9*u**5 - 5*u**2 + 4*u**2 - u**2.\nAnswer: 37*u**5 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28 and 100.8.\nAnswer: 2822.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 + -133. Let f = w - -91. Calculate the remainder when 115 is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (40 - -1) + 2\/10*-5. Calculate the common denominator of 72\/300*z\/(-27) and -103\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1129*o + 581 - 586*o - 560*o to the form b*o + v and give v.\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1293*d*n**2 - n**2 - 91*n wrt d.\nAnswer: -1293*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7436508*b*s**3 + 11*s**3 + 3*s**2 - 496*s - 9 wrt b?\nAnswer: -7436508*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6 = r, -10*l + 5*r - 11 = -11*l. What is the nearest to l in 2\/69, -1, -0.2, -0.3?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Suppose -669*u = -746*u + 885038. What are the prime factors of u?\nAnswer: 2, 7, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + -2)*((-294)\/18 - -5). Which is smaller: 2\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -8*c + 11*c + 16, -3*p + 18 = -3*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3569\/494 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a. Suppose 8*j - 5*j = -3*w, 5*j = w - 12. Let b(p) be the third derivative of 0 + 0*p - 5*p**w + 0*p**4 - 1\/30*p**5 + 0*p**3. Give s(b(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(2\/5))**18)**(2\/9))**(-3\/44))**8 assuming i is positive.\nAnswer: i**(-72\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*o + 39*o - 4*p - 16, -5*o + 8*p + 44 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5737250 by -2.\nAnswer: 2868625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 179, 171, 159, 143, 123, 99, 71?\n\"Answer: -2*j**2 - 2*j + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, j: 2}. Give prob of sequence wj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -10. Let k be 18\/14 - (-4)\/(-14). Which is the third smallest value? (a) n (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3263 = 42380*g - 42129*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 16*v**2. Let t be m(1). Suppose -z = -5*o - t, o = -3*z - 4*o + 128. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 0. Let o be (-18)\/12*16\/6. Which is smaller: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1625 divide 1993875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 101 = -3*a - 31, 0 = 4*t + 4*a - 224. What is the greatest common divisor of t and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6636480 by -214080.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10405 (b) -1\/4 (c) 3\/5 (d) 3 (e) -0.04181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/14)\/((-175)\/70*(-9)\/(-15)). Which is the smallest value? (a) -0.2 (b) x (c) -2 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k - 1. Let f be ((11 - 5) + -8)*1*-1. Let y(j) = -3*j. Let b(o) = f*w(o) + 5*y(o). Give b(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316595 to the power of 1\/2, to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -926.847 to the nearest integer.\nAnswer: -927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 8*f - 20. Suppose 4*r = f*t + 74, 3*r - 5*t - 41 = 25. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -3679\/1368 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1121 (base 3) to base 15\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b + 2*b + b + 0*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 898 + -403. Suppose -5*h = -3*d + 73, 6 + 0 = -3*h. Calculate the remainder when -2 + z\/12 + (-3)\/(-4) is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206041 is divided by 68607.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 209 + -494 + 269 - (-2 - -2 - (3 - 0))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -266 (b) -0.9 (c) 3\/7 (d) 428\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 2*z - 11. Let l be -1*(-5 + 49)\/(-11). What is f(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-42)\/(-9))\/(154\/39501) and 3.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4661665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2793 - 0.4793. Let b = 1 - 1. What is the closest to b in -0.01, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4*o - 8 = 0, -68*y - 1 = -67*y + o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1054*f**2 + 13*f**3 + 1054*f**2.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 - -2*(-3)\/(-6). Let m(d) = -d**2 - 4*d + 4. Let g be m(x). Suppose 4 = 3*v + v. Which is greater: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175251446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/33 and 97\/4401702?\nAnswer: 48418722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124021144 (base 5) to base 2.\nAnswer: -10010101000111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 h when four letters picked without replacement from yhhklkhhhlhh?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 3*x - 2*x)*(3*x - 2*x + x)*(3*x - 1 - 17*x - 5*x).\nAnswer: 38*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 - -176. Let x = 3456\/13 - h. Let v = 0.2 - 0. Put x, v, -1 in decreasing order.\nAnswer: v, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 78597, 157220, 235851, 314490, 393137, 471792, 550455?\n\"Answer: 4*d**2 + 78611*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 925313398 is divided by 8247?\nAnswer: 8245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.40811761 rounded to one decimal place?\nAnswer: -21.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i - 21*i - 20 = 0. Suppose -4*g - 1085 = -5*h, g + 622 = -i*h + 1707. Let j = -91 + h. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 59052779.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4720 + 561?\nAnswer: -4148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2562584 - 2562641.99866. Let b = 53.7 + 4.3. Let v = b + h. Round v to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**4 + 730*a**3 + 4245*a**2 + 6320*a + 2800 = 0.\nAnswer: -140, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 8:50 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0373708751 to three dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9*c. Let x(o) = o**2 - 2*o + 2. Let b(y) = -6*y**2 + 11*y - 11. Let r(g) = 6*b(g) + 33*x(g). Calculate z(r(m)).\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10479200 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*c + 141 + 2*c**2 - 55*c - 4*c**2 + 34*c to the form t*c**2 + w*c + f and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/((-2 + -1)\/(-9)). What is the third derivative of q*v**3 + 13*v**3 - 6*v**2 - 33*v**3 wrt v?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/4, -23, 0.2, 15, 11\/64?\nAnswer: 11\/64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4330 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/3 and 60\/4081987.\nAnswer: 12245961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3657779189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6 + 5*h - h**2 - 13*h + 0*h**2. Let t be k(-7). Let r(m) = -m**3 + 3*m**2 + 5*m - 2. Let j be r(4). Solve 0 = -3*s - j - t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -4. Suppose 0 = -4*q + 74 - l. What is the third derivative of b**6 - 14*b**2 + 10*b**2 - q*b**6 wrt b?\nAnswer: -1080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3199.01 * 0.162.\nAnswer: -518.23962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbyubucbn. Give prob of sequence ny.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-15\/11)*f**(2\/5) assuming f is positive.\nAnswer: f**(2\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -45. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -285*q**2 + 171*q + 136*q**2 + 148*q**2 to the form n*q + u + p*q**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/5 - 296*h**2\/5 - 1352*h\/5 + 194304\/5 = 0. What is h?\nAnswer: -138, -32, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -5\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*w**3 + 3*w**2 + 59402*w - 12976834?\nAnswer: -12*w**2 + 6*w + 59402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 28116\/113, 2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**4 + a**4 + 0*a**4 + (-1 + 1 + 2*a)*(2*a**3 + 0 + 0) - a**4 - a + a + 17*a**4 - 190 + 190)*(1 - a - 1).\nAnswer: -21*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 8:31 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c + 11. Let l(h) = -h - 2. Let g(s) = 11*l(s) + 2*r(s). Let j(n) = -4*n. What is j(g(k))?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kaapnppuppkpuuw. Give prob of sequence wnk.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -13. Let f = 7 - 6.1. Let a = 1.1 - f. Which is smaller: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-3) - 176*1\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3456624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16530 and 2945646?\nAnswer: 14728230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250688 a multiple of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -2. Suppose 0 = -w*u + u + 56. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202626\/31 < 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/14 and 95\/85502.\nAnswer: 598514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 6*p**2 - 6*p + 6. Let n be d(-7). Let k = 3 - n. Solve -o = -4*a - 21, -a + 2 = k*o + 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 20 = 2*n - 6*g, 5*g + 32 = 3*n. Let q = 62 - 52. Let x be 0\/((-12)\/20 - 4\/q). Solve x*i - n*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - -3.818093\nAnswer: 22.818093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -5. Suppose 8*l - 50 = t*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5531, -22055, -49577, -88097, -137615, -198131?\n\"Answer: -5499*n**2 - 27*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(6\/7)\/m)\/m)\/(m*m*m**(-1\/7)))**18\/(m**(6\/7)*m\/(m\/m**(-2)*m)*m**(-5)*m**(-7\/4)) assuming m is positive.\nAnswer: m**(-1263\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.47329685 to three dps.\nAnswer: -11.473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21312735*h**2*u**2 + 1212*h*u**2 - h*u - u**2 + 25*u + 2 wrt h?\nAnswer: -42625470*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 155 + 16?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 3121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36393.3 years to centuries.\nAnswer: 363.933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -259 divided by 245647?\nAnswer: -259\/245647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109331454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9871 - (-10)\/4*(-20)\/(-225)*18 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -630*o - 3134. What is u(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8605 = 164*t - 1968 - 3224 + 3137 for t.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1417 = -121*h + 207 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a. Let p(g) = 7*g + 5. Let i(b) = 3*h(b) - p(b). Let o(q) = -2*q - 2. Let c(u) = 2*i(u) - 5*o(u). Let d(n) = 2*n**2 + 15*n. Determine d(c(t)).\nAnswer: 8*t**2 + 30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (38 + -22 + 29).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2 = -d. Suppose 420 = d*w + w. Suppose -w = -5*g - 35. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 at least 2491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 3. Let b be p(0). Suppose 0*d = -d - b*u - 6, -4*d = -u + 11. Put -5, 3, d in descending order.\nAnswer: 3, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -434 - -453. Solve -25 = 3*q - h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2*o + 2*a + 38 = 0, 3*o + 5*a = 48. Solve -o = -4*l + 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295266695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91 by -11.\nAnswer: -91\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 f, and 1 s when four letters picked without replacement from ttusgfa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = -2*t - 37, 11*t + 5*b + 20 = 10*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4040 + -3698. Solve c*h = 330*h + 48 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -3*w**6\/2 - 11*w**2\/2 + 11. What is the second derivative of f(j) wrt j?\nAnswer: -180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0256 and 184.\nAnswer: 183.9744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 340665 to the power of 1\/2, to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2698414741?\nAnswer: 11, 245310431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d + 2. Let q(r) = 10*r - 11. Let j(f) = -1. Let w(n) = -4*j(n) + q(n). Let o(m) = 7*h(m) + 2*w(m). Let y(c) = 4*c + 1. Calculate 3*o(p) + y(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 5295 = c + 2*g, -4*g = 5*c - 26499. Let v = -112784 + -71917. Let f = c - v. Round f to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.4046 + 1.5954. Let j(d) = -d**2 + 4*d + 7. Let n be j(5). Sort s, -0.08, -2\/17, n in decreasing order.\nAnswer: s, n, -0.08, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*h + 12 = 0, 0 = 3*f + 2*h - h - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 253695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*x - 4*v + 30, 0 = 3*x - 4*v - 72. Suppose -5*m = -5*l + 4*l + x, 0 = 5*l - 3*m - 78. Solve -6*g = -g - l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.86333838946 and 10.\nAnswer: 10.86333838946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 246*a + 4 = -244*a, -3*a + 6 = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8798*q**4 + 166*q - 10?\nAnswer: -105576*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1601 or 1604?\nAnswer: 1604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*i**4*u**3 + 270*i**3*u**2*w**2 + 2*i**2*u**3*w - i**2*u**2*w - 226*i*u**3*w + 3*i*u**2*w**2 wrt i?\nAnswer: 288*i*u**3 + 1620*u**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 12*r + 5. Suppose 2*o + 12 = -2*j, 0*o + 2*o - 4*j + 18 = 0. Does 20 divide g(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 324*z + 10. Let a be n(-7). Let h = a - -3743. Suppose 6*k - 11*k + h = 0. What is the greatest common divisor of 27 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 3001.671?\nAnswer: 3001.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1845, -352, 0.6 in increasing order.\nAnswer: -352, -1\/1845, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/2*r**3 + 0 - 5\/2*r**2 + 0*r = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -247 and 14.\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1\/2 (c) 33\/793\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -468.\nAnswer: -1\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*k + 4*k + 0*k)*(-1 - 6 + 3) + 27 - 33*k - 3*k - 26)*(-108 + 108 - 42*k**3 - k**3 + k**3 + 2*k**3 + (k**2 + 2*k**2 - 5*k**2)*(-5 + 2*k + 5)).\nAnswer: 1760*k**4 - 44*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -68398 + 614?\nAnswer: -67784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1580 is divided by 773.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -18*l - 20 + l**2 - 18*l - 6*l + 30*l. Let r be x(12). Let k = 24 + r. Solve 5*a = -k - 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 235 (base 6) to base 14\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*q = 3*h - 214, 4*h = 5*q + 163. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3\/2 + 1005*d**2\/2 + 66795*d\/2 + 1469795\/2.\nAnswer: 5*(d + 61)**2*(d + 79)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(17) + 0 - (sqrt(612) + -1 + sqrt(612)) - (3 + sqrt(1700) + 0).\nAnswer: -21*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m + 38. What is k(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + m + 0*m)*(5 - 5 - 2*m)*(-89*m - 28 + 28) in the form j*m + l + g*m**3 + w*m**2 and give g.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*j**3*l**2 + 2*j**3 - 102*j**2*l - 1051*j**2 + 77771*j*l**2 - 2*j*l + 57 wrt l?\nAnswer: 50*j**3 + 155542*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34193.95 kilometers to meters.\nAnswer: 34193950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -3.3, 6\/11, 8, -2, 0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1f71 (base 16) to base 7\nAnswer: -32316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -74, -65, -52, -35, -14?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1435, -2861, -4287, -5713, -7139, -8565?\nAnswer: -9991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*n + 29, -2*n + 3*a = 5*a + 22. Let d = n - -10. Suppose s - l - 19 = 0, d*l - 75 = -3*s + l. What is the lowest common multiple of 18 and s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.26 - 0.04. Which is the nearest to 1\/3? (a) u (b) 6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -70 in -3\/2, 2, -7\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -386 and -4446887.\nAnswer: -4447273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88871 divided by -5.\nAnswer: 88871\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a minute?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0903 + 0.1903. What is the nearest to v in 37\/4, 2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-1) - (-39 - -46). Let h(s) = -1 - 12*s - k + 3 - 32. Let a(p) = -p - 3. What is -32*a(o) + 3*h(o)?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43.9 equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138236 = 23*q + 2076. Suppose -6*o = -q - 80. Is o a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 167 + -167. Let i(u) be the third derivative of -1\/90*u**5 + 1\/180*u**6 + 1\/9*u**3 + 0 + p*u - 4*u**2 - 1\/36*u**4. Factor i(f).\nAnswer: 2*(f - 1)**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644 times 0.4?\nAnswer: 657.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.546*375840.\nAnswer: 581048.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 26\/795, 48, 3\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2672598869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(351 - 351 - 84*h).\nAnswer: 168*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 528.7 + -568. Let l = -38.3 - k. Which is the third biggest value? (a) 5 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**17*d\/d**(-15))**(-34))**(-2\/25) assuming d is positive.\nAnswer: d**(2244\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 - -414\/7. Suppose -3*t + 17*n = 12*n + 28, 3*t - 2*n + 40 = 0. Which is the second smallest value? (a) -0.4 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 - -81?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(2*sqrt(12)*-2) + ((sqrt(17) + sqrt(17) + -1 + sqrt(153))**2 - (sqrt(17) - (-3 + (sqrt(17) + 0 - sqrt(17))))).\nAnswer: -45*sqrt(17)\/4 + 423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -47. Let b be y*(-1 + 3 - -3). Suppose b*r = 14*r - 252. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p. Let a(c) = 8*c. Let i(d) = -5*a(d) - 6*j(d). Let h be 5 - (-6)\/(10\/5). Let x = h - 7. What is i(x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -456*d*v**3 + 547*d*v + 103472*d wrt v.\nAnswer: -1368*d*v**2 + 547*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 776, 3037, 6792, 12041?\n\"Answer: 747*q**2 + 20*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) -1\/6 (b) 2\/23 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -11, -2, -39 in decreasing order.\nAnswer: -2, -11, -27, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -140167 or -140210?\nAnswer: -140167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*s + 283*s + 3305 = -125 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**5\/60 + 119*f**4\/6 + 28322*f**3\/3 - 9*f**2 - 143*f + 1. Factor r(c).\nAnswer: (c + 238)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 410 - -1126. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9, 363, 717?\n\"Answer: 354*a - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*(sqrt(110)\/sqrt(2) + sqrt(55))*-5)\/((sqrt(25) + sqrt(75)\/sqrt(3) - sqrt(25))\/sqrt(5)*-3)*-4.\nAnswer: -80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, m: 4}. Give prob of sequence yyym.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 4*z**2 + 11*z**2 - z**3 - 8*z + 4 + 4. Suppose 5*k + 0*k + 4*t - 43 = 0, -t - 33 = -5*k. Let w be (-3)\/(-3)*k\/1. Calculate u(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 5*x - 8. Let f be n(1). Let v be 125\/(631480\/210496 + -1 + f). What is v rounded to the nearest 100000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**3 - t. Let d be o(-1). Let l be (-28)\/(-16) + (7\/4)\/7. Solve d*c - c + 35 = 4*j, 4 = 2*c + l*j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31348 + 45839. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 1. Let x be q(2). Let c be (32\/x)\/((-4)\/(-18)). Suppose -4*i - 36 = -5*h + 2*h, -4*h = -2*i - c. Solve -2*w - h = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/25 of a litre?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/4*q**2 - 1\/4*q**3 + 1\/2*q.\nAnswer: -q*(q - 2)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23a4b - 16?\nAnswer: -23a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/49 + 0\/(-1). Let w(j) = j**2 + 2*j. Let l be w(-2). Suppose 4 = -4*v - l*v. Does b = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*g - 0*v - 14, v = 5*g - 17. Suppose q + 8 = -a - 3*q, -2*q - 4 = 3*a. Suppose -28 = -7*c - a. Solve 3 = m - 3*s - 6, -c*m + 12 = -g*s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x**2 - 30*x + 4. Let n be g(-7). Let k = n + -383. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxszzsdszx. What is prob of picking 1 s and 1 z?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42017, -83245, -124449, -165623, -206761?\nAnswer: -247857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -83*r - 31. Let n(a) = -8*a**2. Calculate n(g(s)).\nAnswer: -55112*s**2 - 41168*s - 7688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100011 - 110101000?\nAnswer: -1110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 51\/4 of a milligram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**3 + 8*g. Let b(m) = -5*m**3 - m**2 - 7*m + 1. Let j(p) = 4*a(p) + 5*b(p). Let x be j(-4). Which is smaller: 0.2 or x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/(-15) + (-2)\/(-5). Let j(t) = t**2 - 9*t + 3. Let p be j(9). Suppose -2 + 5 = p*x. Solve q + m = -x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-9\/10))\/x)\/(x\/x**(-4\/9)) assuming x is positive.\nAnswer: x**(-211\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 81 = 3 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**10*q*q*q*q**(-4\/3))**(1\/20)\/(q**(-9)*q*(q*q**(-9))\/q*q**(3\/7)\/((q\/(q\/(q*q**0*q)*q))\/q)) assuming q is positive.\nAnswer: q**(1441\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 - m**2 + 2*m. Give l(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125422 + -20351. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**3\/3 - 4*s**2 + 10*s + 62. What is u(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 780 = -4*z + 276, 0 = y + 5*z - 264. Suppose -5*t = -3*t + y. Let h = 212 + t. Calculate the highest common factor of 60 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 6*r + 6. Let s(h) = -h**3 - h**2 - h - 1. Let n(u) = -5*u**3 - 6*u**2 + u - 13. Let v(g) = -n(g) + 6*s(g). Calculate 6*v(p) - 7*z(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 + -68.3. Sort 2, b, -4 in ascending order.\nAnswer: -4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 402 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-42)\/(-28))\/((-1)\/(-2)). Suppose -z*i - 8 = i. Let c(w) = 2*w**3 + w**2 + 3*w + 3. Give c(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 15318\nAnswer: -15294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 1\/14, -1.5, 1\/5, -0.1?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 76034.75ml?\nAnswer: 76.03475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a**2*f + 37358*a**2 - 5*a*f - 2374*a - 3*f - 1 wrt a.\nAnswer: 14*f + 74716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1882 + 387. Let h = -2838 - a. Let o = 2656 + h. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 2*c + 5*c + 23, 4*c + 22 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152536 is divided by 21760?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 107800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9436859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o + 14 - 14. Let h(i) = -i. Let l(g) = 5*h(g) - 2*x(g). Let f be l(0). Solve f*s - 5*s = -4*c + 6, -4*c = 3*s + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25683\/10 - 2568. Which is the third smallest value? (a) 8 (b) -1\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4876.9909 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + sqrt(1331) - (sqrt(1331) - (-1*(0 + sqrt(1331)) + sqrt(1331))**2)) + (sqrt(88)\/sqrt(8)*2 - 6*sqrt(99))**2.\nAnswer: 2812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 21 + 20. Suppose -x + y + 3 = 0. Solve x*u - 2*u + 4*k = -6, -u + 2*k = 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.29 - 14.29. Let c be ((-33)\/132)\/((-4)\/(-46)) - -3. Suppose 23*r = 28*r - 81*r. What is the second smallest value in c, d, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((546\/65)\/21)*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + n = -25, 3*d - 58*n = -60*n + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/9)\/((-1555)\/(-2799))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2679 and 381273.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2 - 2. Let o = 14 - 3. Let g = -7 + o. Solve t = -0*w + g*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*w - 70, -40 = -2*f + 3*w + 85. Suppose -t - 4*t = -4*z - f, 65 = 5*t - 2*z. What is the remainder when 43 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 7*j - 67, -36*r - 52 = -32*r - 4*j. Let h(u) = -u**3 - 7*u**2 + 10*u + 10. Give h(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 9*f - 16. Let g be y(-5). Solve 1 = b + 2*a, 3*a + 0 + g = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjhrkrikrcjrhhjhkiij. Give prob of picking 4 h.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -8*x + 5 + x**2 - 5 + 5 + 2. Let w(s) = 4*s**2 - s - 16. Let j be w(-2). Suppose 0 = -p + j*p - 5. Determine m(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**3 - 1140*y**2 + 21748*y - 20604 = 0 for y.\nAnswer: -303, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1237*0.3.\nAnswer: -371.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 17. What is the units digit of ((162\/(-24))\/(-1))\/(y\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*w - 20, -o + 3 + 2 = 4*w. Let q(d) = 2*d + 10. Let k be q(w). Suppose -5*g - k = -0*g. Is -19\/8 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -139809 and 0.024.\nAnswer: -139808.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:04 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 4.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3 + 0 = -t, -4*t = s + 1. Suppose t = 5*c - m - 199, c - 47 = -0*c + 2*m. Suppose -3*u + 3*l = -c, 0*u + 4*l + 19 = u. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 3440470*s - 3440475.\nAnswer: 5*(s - 1)*(s + 688095)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010011011110011010 (base 2) to base 8.\nAnswer: -1233632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17882875811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.92 - 2.7. Let r = w + -0.3. Let p = r - 0.22. Which is the second smallest value? (a) p (b) 2\/7 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62916.8 - -79400. Let m = -16481.60042 + z. Let d = m - 1.6. Round d to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -63) + -20 + -19 + 7 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4370*u + v = -4371*u - 4, 0 = -4*u + v + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 431 divide 1833474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 21 = 1. What is the remainder when 37 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Let f be (5 + -6)\/(1\/24). What is the least common multiple of (-3)\/24 + (-243)\/f and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1363?\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6 - 3 - 5 - 7*f. Let h(v) = -51*v - 1. Let q(s) = -195*s - 5. Let r(b) = -15*h(b) + 4*q(b). Determine -9*p(n) + 4*r(n).\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9179*s - 1992*s - 1365*s + 4045*s.\nAnswer: 9867*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8863 - 9115 - 1237 - 802)*(3*j**2 - j**2 - j**2).\nAnswer: -20017*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 39 + 87 = 0. Let b = 34 + -7. Suppose 4*g - b = -3*h - 8, -h = -g - z. What is the greatest common factor of h and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -439.9 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - (-498)\/(-6)*-2. Let r = l - 157. Solve -z - 2*z = -f + 13, 2*f = -2*z - r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.4 - -0.1. Let a = -21.8 - -14. Let v = 6.8 + a. Which is greater: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 80 - 65*q - 5*q + 134*q - 2*q**2 - 7*q wrt q?\nAnswer: -4*q + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(3\/2)*-67*(-1664)\/(-21440)?\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekww when four letters picked without replacement from wkrrreirwwwkerwwr?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4564272.\nAnswer: 2, 3, 95089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 + 107. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 0*l**2 - 15 + 41 + 4*l + l**2. What is the hundreds digit of w(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 317 + -880\/3. Let s = u - 24. Let z = 17361 + -17354. What is the third smallest value in -0.5, z, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 155*u + 8*u + 152*u - 2*u - 2*u + 6*u + (0 + 3 + 0)*(u + 1 - 1).\nAnswer: 320*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/1124 + -2281\/37092. What is the common denominator of -14\/201 and l?\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 10 + 9 = 4*b, c - 5*b + 1 = 0. Let v = -184 - -308. Calculate the remainder when v is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -186 + 188. Solve j*w + 0*w = 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2860763066.\nAnswer: 2, 7, 131, 1559849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 5:30 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5019.418 millilitres?\nAnswer: 5.019418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b - 26*b**4 + 2*b**2 + 68*b**3 - 63*b**3 + 27*b**4 to c + f*b + r*b**4 + y*b**3 + l*b**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1660069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 22. Let z(s) = -10*s**2. Give z(i(r)).\nAnswer: -10*r**2 - 440*r - 4840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (54\/(-8))\/((-18)\/132) and -3\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 1412*o**6 - 3722*o**2 - 4441. What is the second derivative of s(z) wrt z?\nAnswer: 169440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-45) - (-12)\/(-5). Let l be (-14)\/(-6)*(1 - (d - 0)). Which is greater: 3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - k = -3*k + 206, -5*k = -3*x - 319. Let t = x - -151. What is the remainder when t is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(0*h**2 + h**2 + h**2) + 2*h**2 - h**2 + 0*h**2 + (49*h + 76*h + 7*h)*(h + h - h).\nAnswer: 129*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/120 + (-1)\/(-4). Let f = 1.571 - 1.4751. Let q = 0.0359 - f. Sort p, q, 4 in ascending order.\nAnswer: q, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(35)\/((sqrt(60) - (sqrt(180)\/sqrt(3) - sqrt(60)))\/sqrt(12)).\nAnswer: -2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -75305.8 and -1.898756.\nAnswer: -75307.698756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -241210445*b**2 + 292713019*b - 2 wrt b?\nAnswer: -482420890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 52337.901 to the nearest one thousand.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 915 a factor of 60382680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g + 2. Let c be h(-6). Let p = c + 14. Suppose n + 2*j - p = 0, 0 = 4*n - 0*j + 2*j - 34. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 2260*d**3 - 2143*d**3 + 1306*d**3.\nAnswer: -3097*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 316781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/13 - 73720*w\/13 - 147432\/13.\nAnswer: -2*(w + 2)*(w + 36858)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + -272337?\nAnswer: -272317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 941423144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4*(-2 - -2). Suppose c = 5*f + z - 23, z - 9 = -2*f + 2. Solve 0 = 8*s - f*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(104)\/(sqrt(8) - 1*sqrt(1152)))**2.\nAnswer: 52\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 6 = -5*d + 5. Solve -z - d = n, z + 17 = 5*n + 33 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -21*w + 0*w**3 - 3\/2*w**2 + w**5 - 5\/4*w**4 - 2. Find the second derivative of j(m) wrt m.\nAnswer: 60*m**2 - 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4970970 - -499.\nAnswer: 4971469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 + 4 = 0. Let a = v - 3. Suppose -5*j - 1 = 5*i - 6, 0 = 4*j + 2*i - a. Let k(h) = -h**3 + h - 3. Calculate k(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 12 + 132. Suppose -w - 4*r - 7 = 0, 2*w - 6 = r + r. Suppose -w - 29 = -2*t. Calculate the greatest common factor of t and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-10) + 98\/35. Calculate the least common multiple of 16 and 15 + (0 - -4 - z).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 260.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 254 = -3*z - 8*h, 0 = 3*h + 12. Let c be z\/(-2)*(-1)\/(-3). Suppose -4*g + 6*g = 4. Solve -4*q - 12 = -4*n, -g*n - n = -5*q - c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/7656 and -61\/198.\nAnswer: 22968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h. Suppose -2*k - 28 = 2*a, a = -5*k + 2*a - 70. Let t(u) = -10*u. What is k*w(s) + 3*t(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + m + 5 = 0, -3*i + m - 3 = -2*m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8331.091661 - 8331. Round m to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3590?\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-126)*(0 + 10\/25 - -2).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*4\/(-8) + 5 + -1. Suppose 7*o + u*o = 2717. Calculate the greatest common factor of 38 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 234750961 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 203, 404, 603, 800, 995, 1188, 1379?\n\"Answer: -y**2 + 204*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2559 - -76?\nAnswer: 2602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -49*m + 50*m - z, -31*z = -2*m + 194. Determine r so that -104\/17*r - 2\/17*r**5 - 32\/17 - 74\/17*r**3 - 20\/17*r**m - 128\/17*r**2 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 5*l + 2. Suppose -47 = -l*y + 23. Let s = y + -2. Calculate the highest common factor of 22 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2625*i**2 + 694*i?\nAnswer: -5250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 8 - (-3 - 2)) + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k + 2*k + 3*k - 3*k + 5*k - k + (-4 + 6 - 4)*(2 - 2 + k) - 12 + 111*k + 12 as b*k + z and give b.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 21. Suppose 3*h + s*h - 30 = 0. What is the remainder when 17 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*u + 2. Suppose -4*x = y - 4, 0 = -2*x - x - 2*y + 3. Suppose -3*i + 5 = -x. Solve u*w = h - 1, -i*h + 0 = w + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38876476 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*98\/33 + (12 + -10)*-3?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*i + 1)*(2*i + 2*i + 3*i)*(0 - 1 + 2).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 g when four letters picked without replacement from {r: 9, u: 6, g: 2}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -10. Solve a*b - 2*m - 2 = -b, 3*b + 6 = -m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 2 + 0 + 0. Suppose 0 = -5*x + 4*x. Solve a = -x + l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2 + 561*r + 1106604 = 0. What is r?\nAnswer: -521, 708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r + 2. Let f be g(0). Let l(q) = q**2 + 3*q - 3. Let n(k) = k**2 + 3*k - 3. Let a(t) = 5*l(t) - 6*n(t). What is a(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -132, -126, -108, -72, -12, 78, 204?\n\"Answer: a**3 - a - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4588 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3) + (-210)\/(-180) - 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7326 is divided by 807.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 53*k - 77. Let n be r(26). Let w be (-4 - -8) + n - -4*1. Round w to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**5\/60 - 7*p**4\/24 - p**3 + p**2. Let r be a(-4). Solve -1 = -4*m + h - 9, -3*m - 2*h - r = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f - 18. Let q be c(-11). Suppose 4*l - 5*p = 20, 0 = -4*l + q*p - 0 + 20. Differentiate 2*z**3 + 3 - 6 + l wrt z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - n**2 + 1. Let z = -104 - 21. Let y = z - -121. Let m(h) = 5*h**3 + h**2 - h + 4. What is y*p(l) + m(l)?\nAnswer: l**3 + 5*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2841\/905 + -532\/181. Factor 0 + 0*x - d*x**2.\nAnswer: -x**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + (3 - (0 + 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2320354325 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1682*b**4*d*m - 67*b**4*d - b**3*z + 303*b**2*d*m + 37*b**2*d*z + 6*b**2*m - b*d*m - d*m*z wrt b?\nAnswer: -40368*b*d*m - 1608*b*d - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 422723 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2057) + 2).\nAnswer: -33*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3371.\nAnswer: 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 9*o**2 + 9*o - 11. Calculate b(10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388415.\nAnswer: 5, 131, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24399, -24382, -24347, -24288, -24199, -24074, -23907, -23692?\n\"Answer: u**3 + 3*u**2 + u - 24404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*a - 1608 = -4*m, 2*m + 3*a - 790 = 0. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2 - 4014*a - 3251888 = 0. Calculate a.\nAnswer: -2888, -1126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6148, 12435, 18722, 25009, 31296, 37583?\n\"Answer: 6287*k - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 - 49. Suppose -b*l = l - 35. Suppose -5*n - 48 = -3*f, 0 = 3*f + 2*f + l*n - 40. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199238 greater than or equal to 199259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 79, 200, 355, 538, 743, 964, 1195?\n\"Answer: -p**3 + 23*p**2 + 59*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 0 + 2\/3*x**3 + 2*x**2 - 1\/12*x**4 + 2*x. Determine h(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 536 and 4.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 6. Let v(l) = -5*l**2 - 8*l + 8. Let w(q) = -2*q**2 - 3*q + 3. Let m(i) = z*v(i) + 8*w(i). Let r(s) = s**2. Give m(r(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4133*f - 4*f**2 - 4132*f - 10*f**3 - 6 + 2*f**3. Let r(i) = 15*i**3 + 7*i**2 - 2*i + 11. Give -4*r(a) - 7*w(a).\nAnswer: -4*a**3 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10589 - -13481. What is the remainder when d is divided by 63?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (0 + 30\/9)\/((-5)\/(-30)) and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -478.\nAnswer: -1\/478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7620253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w**3 - 8*w + 6. Let v(l) = l**2 - 9*l + 6. Let q be v(9). Let o(g) = -6*g + 4*g**3 + 7*g - 5 + 6*g. What is q*o(k) + 5*n(k)?\nAnswer: -k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (-3*-2*sqrt(320) - sqrt(320)) + (sqrt(320) - (sqrt(320)*1*-4 - sqrt(320)))).\nAnswer: -528*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m + 8. Let g(f) = -f - 1. Give 2*g(y) - h(y).\nAnswer: y - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -285608*b*y + 1010149*y wrt b?\nAnswer: -285608*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/75519 and -1\/738?\nAnswer: 6192558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 133 + 68 = -3*b, 0 = -3*y - 2*b + 226. Let k = -37 + y. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/3, 265, 0.2, 4, -14 in descending order.\nAnswer: 265, 4, 0.2, -2\/3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 + 16*j**3 - 79*j**2 + 84*j + 180.\nAnswer: -(j - 6)**2*(j - 5)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2. Let m(i) be the third derivative of -i**5\/60 - 10*i**2. Let h(v) = -6*d(v) - 3*m(v). Let k(f) = -f**2. Calculate k(h(l)).\nAnswer: -81*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*g = -1263*g + 728*g - 3872 for g.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*b*p*w**3 - b*p*w**2 - b*w**3 + 12*b*w**2 + 2*b - 2*p*w**3 wrt w.\nAnswer: -162*b*p - 6*b - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 3*v - v + (-1 + 1 - v)*(2 - 6 + 2))*(-2 + 0 + 3)*(v + v + 0*v).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*m - 37. Solve 4*x + 4*v + m - 4 = 0, 21 = -4*x + v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4401*p - 4470*p - 138. Let l(b) = -b - 9. Let u be l(-9). Suppose -t = 2*x + 4, -2*x = -u*x - 5*t - 20. Sort 11, p, x.\nAnswer: p, x, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*o = 4322 + 58 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6*x**2 - 2 - 13*x.\nAnswer: -6*x**2 - 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 3:16 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*(-61)\/1830*6\/(-9).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-80))\/(((-1980)\/1300)\/(-11))?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*p**2 - 100*p + 24.\nAnswer: 4*(p - 2)*(11*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1499 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**4\/12 - 5*l**3\/6 + 3*l**2 - l + 137. Give h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4525884090 to the power of 1\/2, to the nearest integer?\nAnswer: 67275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 65 + 7\/(63\/27). Calculate the highest common factor of o and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36203635 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38 in 4, 2, -609?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 40 = 2*g, -3*d - 2*d = g - 30. Suppose 17 = 5*z - 2*u - g, -4*u - 19 = -3*z. Let o = -785 - -797. Calculate the remainder when o is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 2:28 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 + 42*u**3 - 57*u**2 - 630*u.\nAnswer: -3*u*(u - 10)*(u - 7)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (-15 + 8))*(-11)\/(-5). Let g = 413 + -259. What is the highest common divisor of i and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1198 + 792. Let a = b + 257. Let o = 164.4 + a. What is o rounded to zero decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 10 + -2 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-14 - -4) + 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaw when three letters picked without replacement from wwawwaw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -4588.034?\nAnswer: -1376.4102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -12*r**2 + 9*r**5 - 5*r - 3*r**5 - 3 + 6 + 5*r + 9*r**4 - 6*r**3 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*sqrt(100) + sqrt(100)))\/(sqrt(720) - sqrt(720)*2*-4).\nAnswer: 2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.35, 3, -2\/13 in decreasing order.\nAnswer: 3, 0.35, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2. Let g be (-2)\/(-9) - 96\/(-54). Let r be g\/2 - (-6 - -5). Let x(v) = 2*v**r + v**2 + 4*v**2. Calculate x(k(j)).\nAnswer: 7*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 14*p**3 - 3*p**2 + 31*p + 5. Let g(z) = -7*z**3 + z**2 - 14*z - 2. Let i(h) = -3*b(h) - 7*g(h). Is i(2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2112*x - 7385*x - 1033*x - 165*x - 2 as n + v*x and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(854\/(-56) + 15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -990*c - 24. Let m(k) = -k - 2. Determine j(q) - 12*m(q).\nAnswer: -978*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18 (b) 3 (c) -1\/7 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 k, 1 g, and 1 t when four letters picked without replacement from {u: 3, g: 1, j: 1, t: 2, z: 1, k: 8}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1922 (base 11) to base 8\nAnswer: 4614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5*i + 40 = 0, 22*i - 7 = 4*c + 23*i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -65 = -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 20 = -2*q, 5*v + 34 = -36*q + 37*q. Factor -125\/3*u + 1\/3*u**q + 0 + 25*u**2 - 5*u**3.\nAnswer: u*(u - 5)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**5\/120 + o**4\/2 + o**3\/3 - 18*o. Let i(m) be the second derivative of z(m). Determine i(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 15, 4, -3 in descending order.\nAnswer: 15, 4, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251173 is divided by 27907?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 551 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -775012 (base 8) in base 13?\nAnswer: -91817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0*4\/(-12))\/2. Suppose -5*v + 56 = -5*q - 54, o = q + 4. Calculate the remainder when 51 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 9:19 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 0*s**2 + 6\/5*s**4 + 0 + 0*s**3 + 0*s + 2\/5*s**5 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9793527?\nAnswer: 3, 71, 45979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -5, 31\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/1020 and 81\/40.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 5:43 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**7\/315 - i**6\/180 - i**5\/45 + 3*i**2 + 2*i. Let m(p) be the first derivative of o(p). Factor m(f).\nAnswer: 2*f**2*(f - 2)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 40 = 15. Solve 3*a + 2*a - p = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 3)*(5*k**4 + 5*k**4 + 4*k**4) + k**4 - 2*k**4 - 2*k**4 + (-k**2 + 2*k**2 + 4*k**2)*(-3*k + k**2 + 3*k).\nAnswer: 58*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500 = 3*u - 4. Let k be (-90)\/u + 1\/4. Let r = 2 + -3. Which is the third biggest value? (a) 5 (b) k (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 85 (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*r = -435*r + 3344 - 18048 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*u**3 + 4169*c**3*u**2 + 2*c**3*u + 931*c**2*u**3 - 13*c*u**3 wrt c?\nAnswer: -12*u**3 + 25014*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (637 - -1) + (-7 - (-1 - 3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4135913412?\nAnswer: 2, 3, 344659451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5918989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116 - -332. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 446, -2, 1 in increasing order.\nAnswer: -2, -1, 1, 446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b = 2, 0 = -3*x + 5*b + 31. Let m = -4 + x. Suppose -m*g + 3*w = 4*w - 5, 1 = -g - 3*w. Is 3 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34626*v**2 - 17701*v**2 - 3*v**3 - 16925*v**2.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/35, -249, 1\/12, -4, 4?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 6, e: 7}. What is prob of sequence bb?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(1\/8))\/(r\/(r\/(r\/(r\/r**(2\/7)))*r)))**11*((r*r**(-8))\/r*r**(-7))**6 assuming r is positive.\nAnswer: r**(-3291\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**6 + 0*z**5 + 0*z**2 + 0*z - 7 + 0*z**4 - 7\/3*z**3. What is the third derivative of h(q) wrt q?\nAnswer: 360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k - 120. Let r be b(31). Let v be (2\/8)\/(1\/2). Factor 3\/2*z - 1\/2*z**5 - z**2 - v + 3\/2*z**r - z**3.\nAnswer: -(z - 1)**4*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5304 and 11688.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((8832\/(-1776))\/23)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40344 - -11?\nAnswer: 40410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -21*u - 21. Let r(t) = -4*t - 4. Let g be (-3 - (-1 - 1))\/((-2)\/10). Suppose 0 = 5*b - n + 10 - 68, -4*b + 59 = -g*n. Calculate b*r(l) - 2*m(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59423 and 13104?\nAnswer: 8556912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 - (-20)\/6. Suppose 5*y - l*y = 10. Solve -y*m = 12 + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 14 + 9)*(2*j**4 + j - 6*j**4 + 2*j**4) to the form c*j**3 + l*j + v*j**4 + x*j**2 + o and give v.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 361120 and 97051.\nAnswer: 2257","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 71 + 22 = 0. Suppose -o = b*o + 22*o. Suppose 2*x + 2*x = 8. Solve 0 = x*d - o - 2, 0 = -3*i + 2*d + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (241\/((-24100)\/160))\/(318\/(-15))?\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/((-57)\/441180*-120).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 5 (b) -21 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 31943, 0.2, 5 in descending order.\nAnswer: 31943, 25, 5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 4*n + 3 = 19, -2 = n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nii when three letters picked without replacement from iiiiiininniiiiiiiiin?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22.402, -1, 0.15, 2 in ascending order.\nAnswer: -1, 0.15, 2, 22.402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109\/3 - 554\/15. Put m, -2, -1\/2 in increasing order.\nAnswer: -2, m, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1142 and 2242?\nAnswer: 1280182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m + 8*m**3 + 12*m + 19*m - 56*m + 17*m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 3:02 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 7*a - 25*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*25546.\nAnswer: 255460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -20*u**2 + 29*u - 7. Let c(s) = 11*s**2 - 15*s + 4. What is -7*c(q) - 4*n(q)?\nAnswer: 3*q**2 - 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-126)\/(-882))\/((-2)\/(-42)). Solve 25 = s*q + 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + (-18072)\/45)\/((-8)\/120).\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5*p - 31 = 0, 27*p - 25*p - 7 = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*x - 235 - 198 = 275 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 349056750 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*c**2*n**2 + 60070928*c**2 - 921667*n**4 with respect to n.\nAnswer: -14*c**2*n - 3686668*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3136?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18050148 and 1671310?\nAnswer: 90250740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 155 - 64. Let p = m + -87.88. Let o = -0.12 + p. Which is the nearest to 0.1? (a) 0.5 (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 585 = 30. What is the third derivative of -5*i**2 + o*i**6 + 6*i**2 + i**2 wrt i?\nAnswer: 4440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -134, -20.\nAnswer: -134, -20, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 275087047 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4050*u**3 - 107*u**4 + 4050*u**3 + (-351*u**4 + 587*u**4 - 299*u**4)*(1 + 1 - 4) as r*u + n*u**3 + l*u**2 + f*u**4 + o and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 42420?\nAnswer: 254520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3, -3\/4, -0.1 in increasing order.\nAnswer: -3\/4, -0.1, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2851926?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 29 = 17. Suppose 0 = 3*t - r*n + 2103, -419 = 3*t - n + 1678. Let q = -2150\/3 - t. Find the common denominator of -2\/7 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**6\/45 - 2*a**3\/3 - 3. Let w(f) be the third derivative of x(f). Let g(i) = -2*i. Give g(w(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -1. Let u = j - 4. Let c be -8 + 4 - -3 - 36\/(-28). What is the nearest to 0 in u, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -92 and -56517?\nAnswer: 5199564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2467429 divided by 4.\nAnswer: 2467429\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.18, -3\/2, 0.1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2 = -2*m, -2*m + q = -4*m + 1. Suppose m = -2*i + 1 + 51. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/(-189)*12\/(-18)*21\/4.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n - 10. Let x be u(4). Solve w - 1 = x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 748163 divided by 233.\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-2\/15))\/w*w)\/(w\/(w**6\/w))*(w**(1\/17)*w)\/((w**2\/w)\/w))**(-44) assuming w is positive.\nAnswer: w**(-66484\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65944140 and 1038.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16429 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 1356671094025?\nAnswer: -1356671094025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 12*t**2 + 131*t - 6. Determine n(-16).\nAnswer: 970","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 + 7*p**2 + 8*p**2 + 0*p**2.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -21 - -11 - 2 - -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 211204 and 29378?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 0. Let y be 18\/(-12)*4\/151. Let k = y - -392\/2265. Is k at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(847) + 1 + sqrt(7) + (sqrt(7) - sqrt(1008)*1) - ((-1*sqrt(63))\/sqrt(9) + 1)).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23359 = 24316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z + 14. Let i(h) = -h - 4. Let f(r) = 4*d(r) + 14*i(r). Let k(b) = -59*b. What is f(k(t))?\nAnswer: 118*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + 5*b - 5*b - 2*b**3 - 10*b**3 + 43*b**3 + (b - b**2 - b)*(-b - 2 + 2) + b**3 - 6*b**3 + 3*b**3.\nAnswer: 29*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1587 and 15726595?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.205 - -3.2049349. What is x rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.11 and -61455.29261.\nAnswer: -61455.18261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 29. Let v be -7 + (g - -4) + 4. Let u(o) = o**2 + 6. Calculate u(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 6 = -12. Let m be (-63)\/12*24\/x. Is (56\/(-10))\/(m\/(-35)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 1)\/((-7)\/28*2). Solve 5*d - 37 = -3*n, -d + 15 = v*d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 5.551.\nAnswer: 2.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 92. Determine u(0).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 9. Let b be (o - (4 - 2))*3. Let i = 10 - b. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 2\/9, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsd when three letters picked without replacement from rdds?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**2 + 11*t + 13. List the prime factors of n(-11).\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*q - 68 = 0, -2*h - q + 136 = 2*h. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(5\/(-20)) + 1. Let z(c) = 0*c - 127 - 2*c + u*c**2 + 130. Let x(k) = -10*k**2 + 4*k - 5. What is 3*x(w) + 5*z(w)?\nAnswer: -5*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6083519 and 7019445.\nAnswer: 91252785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-2) + 2\/(72\/(-207))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-11) + (2370\/275 - (-40)\/(-50))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.013 in -1\/4, -11, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 3:03 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/45*(-50)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40230654 and -3.\nAnswer: -120691962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 291 + 3?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iovppoic. What is prob of picking 1 p and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84327.\nAnswer: 3, 28109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2 + 2)*(1 - 3*i + i**2 + 3*i) + 103*i**2 - 131*i**2 + 33*i**2 - 981*i**3.\nAnswer: -980*i**3 + 5*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**5\/20 - q**4\/6 + q**2\/2 - 7*q + 40. Let n(i) be the first derivative of c(i). Give n(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (-4 + -13 + 28).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 1)*(-5)\/(-1). Let h(q) = 6*q - q**3 + 3 - 1 + 4*q**2 - 4. Let s be h(5). Solve 0 = -4*l + 3*d - s, -f*d + 1 = -4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16428963 != -16428932?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12340?\nAnswer: 2, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3*h - 2*n - 10, -h - 7 = 3*n. Suppose -3*t = -b + 11 - 0, b + 5*t = -5. Let d = 4 - 4. Put d, b, h in decreasing order.\nAnswer: b, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 8*k**3\/3 + 8*k. Let n(d) = -3*d**2 + 5*d - 3. Let l be n(3). Let w = -16 - l. Give v(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.31*0.00255\nAnswer: -0.0084405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -56, 0.3, 0, -2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24617577?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57497?\nAnswer: 11, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/20*(-48 + 53)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328913 rounded to the nearest 10000?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**2\/13 - 4164*j\/13 - 2167362\/13 = 0.\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 222381900 a multiple of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k = 0. Suppose k*q = 5*q - 20. Suppose 81 = 3*l - 5*o + 2*o, -q*l - 2*o = -96. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*c + 42312 - 7842 = 624*c + 874*c for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 1052*p + 1047*p + 35, -2*k + 5*p = 25 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.173 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/11 - 1046*d**2\/11 - 137286*d\/11 - 136242\/11.\nAnswer: -2*(d + 1)*(d + 261)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16120 - 16047. What is the highest common factor of w and 58181?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 + 1 - 1 + (-1855 - 639*p + 1855)*(-2*p - 3*p + 6*p) to the form t*p + u*p**2 + k and give u.\nAnswer: -635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j + 0*j)*(6*j - 144*j**2 - 274*j**2 + 244*j**2).\nAnswer: -174*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 107334 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.2 + -83.2. Let n = 66.7 + f. Which is the third biggest value? (a) 5\/7 (b) 0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44575437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(0 + 0 - 2*c) - 9 + 7 + 3*c - 4*c.\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8111 - 8?\nAnswer: -8119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-2*6 + sqrt(77))\/(-5*sqrt(28)).\nAnswer: 11*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdvvvvvvvvdvdvddvd. Give prob of sequence vdd.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 2*p**2 + 6286*p + 32 + 13*p**3 - 6286*p to j*p**2 + m*p + f*p**3 + s and give s.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -j - 5*y - 40, 0 = 2*j + 7*y + 41. Solve 0 = -2*r, 0*n + j*n + 4 = -2*r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpng when four letters picked without replacement from {g: 2, j: 2, n: 1, l: 2, p: 1, t: 5}.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 7919 = -1341. What is the highest common divisor of y and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*21\/((-504)\/(-16))*(-12)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9098)\/(-4) + (17 - 975\/78). Calculate the greatest common divisor of 86 and s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18682958 and 4676?\nAnswer: 2338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310084339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2250*s = -2252*s - 12 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (236\/224)\/(11\/44) + 2*-2\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 3*k + 30, 0 = 4*r + 4*k + 56 - 48 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 9*z - 4. Let q be g(-9). Let s be 3\/(-1) + 1 - q. Suppose 3*b - 2*b - 43 = -3*n, s*b = 4*n - 44. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14373, -28748, -43123, -57498?\nAnswer: -71873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (11 - 7))\/(-15)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.4 - -9.4. Which is smaller: -13 or y?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1\/308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1310330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9210, 18312, 27292, 36144, 44862, 53440, 61872, 70152?\nAnswer: 78274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.19 - -12.69. Sort 0.6, 3, t, 1 in decreasing order.\nAnswer: 3, 1, 0.6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 6:26 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371887 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-0.01587\nAnswer: 0.18413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 97 and 4498?\nAnswer: 4401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 31. Let v be o(11). What is the units digit of 2 - -94 - 3\/v*0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -27.08. Round f to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 21 + 42 = 0. Suppose 7*c - n = 5. Suppose 0 = -c*a + 20 + 30. Solve -4*m = -5*w - a, 4*m + 5 = m - w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3\/2 - 571600*j**2 + 330897250*j - 47949615000.\nAnswer: 5*(j - 228060)*(j - 290)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1467521560 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 3*f - 51*f - 26*f. Suppose -v = -2*v - 2*z - 10, 2*v + z = -8. Let r be (-2)\/(-2)*(-6)\/v. Solve -m + 2*o = -2*o - r, 0 = f*m + 5*o + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1239882774.\nAnswer: 2, 3, 13, 131, 121343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1282.03 - 445510.\nAnswer: -444227.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11, -4, 15 in decreasing order.\nAnswer: 15, 11, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*4\/(-35))\/(254\/(-635)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-1)\/(-3))\/((-54)\/486)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7870.507 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*(16\/(-20))\/2. Suppose -j*w + 4*a - 180 = 0, -2*w = -a - 2*a + 91. What is the units digit of ((-77)\/w)\/((-2)\/(-48))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 - 111 = -5*l - 2*h, 4*l + 4*h = -8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 22 = -4*t, -2*t - 2*t = 5*g + 26. Let l(f) = -f**2 - 6*f + 7. What is l(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4706 a factor of 822971162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1388647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 382942061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 183*y - 2 - 185*y to g + a*y and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 6:49 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*g = -576 + 339 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4239639?\nAnswer: 3, 139, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 17*v - 1233. Give j(76).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b**2. Let j(y) = 3 - 2 - 1 - 4*y. Let w(h) = h. Let l(t) = 2*j(t) + 9*w(t). Determine r(l(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264 (base 15) to base 3.\nAnswer: 202011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 4, n: 2, v: 2}. What is prob of sequence vr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*a = a + 18, -4*a + 16 = 0. What is the lowest common multiple of 8 and -6*((-27)\/p + 3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -103, -147, -209, -289, -387?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002796 to 7 dps.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20708294 and 940.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7995*b**4 - 3*b**2 - 9611 wrt b.\nAnswer: 31980*b**3 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -684*j + 4125. Give k(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - z)*(0*z + 2*z - 4*z) - 3*z**2 + 4*z**2 + 0*z**2 - 26 + 29821*z**2 - 29816*z**2 - 87 as x*z**2 + y*z + o and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -8\/9, -1.9, 5, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1851 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jccjcjjcjn. What is prob of picking 1 j and 1 c?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2227791404?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4236*r**2 + 2 + 0 - r + 4338*r**2 in the form x*r**2 + t*r + h and give x.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/7, 35\/34, -1.1 in decreasing order.\nAnswer: 35\/34, 2\/7, -1.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 32*o + 2 + 8*o - 23*o. Let d be m(17). Suppose -z - 2 = 5*t, -5*t = -2*t - d*z - 4. Solve -i + 2*i - 4 = t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 159, 204, 287, 420?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ccjcccbccjcccjc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 divided by -30?\nAnswer: -89\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85 - 78. What is the remainder when 24 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, t: 10, i: 2, b: 3}. What is prob of picking 2 z?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7681341*b**2 + 12539064*b wrt b?\nAnswer: 15362682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 4*w - 14273 - 9388, -2*t = 4*w - 9442. Calculate the remainder when t is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x + x)*(-41 + 4 - 193).\nAnswer: -460*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3083494613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 129358006.\nAnswer: -3\/64679003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 8*w - 2. Give q(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -237 - -402. What are the prime factors of q?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5 - 2886*k**4 + 696963*k**3 - 1385280*k**2 + 691200*k = 0.\nAnswer: 0, 1, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t - 16. Let d be y(6). Let h(f) = -3*f**2 + 3*f**2 + 8*f**2 - 11*f**d. Let z(r) = 45*r**2. Give h(z(o)).\nAnswer: -6075*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**4 + y**3 + y**2. Let t(k) = -24*k**4 + 15*k**3 + 15*k**2 + 9. Let l = -34 + 19. Let f(j) = l*a(j) + t(j). What is the derivative of f(p) wrt p?\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -27*m + 140. Which is the nearest to 231? (a) -2\/5 (b) 0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -2 (c) 1\/6 (d) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -5, 0, 43 in decreasing order.\nAnswer: 43, 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -582153198.9 rounded to the nearest 10000?\nAnswer: -582150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 8 (c) 17 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330*q**2 + 330*q**2 + q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (3*sqrt(2736))**2 - (sqrt(133)\/sqrt(7) + 4)) + 5 - (1*sqrt(152)*-2)\/(sqrt(968)*4 - sqrt(968)).\nAnswer: 2*sqrt(19)\/33 + 24625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n + 1. Let w(p) = -7*p + 1. Determine -5*l(f) + 4*w(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 12. Let g be q(0). Let z = -3 + g. Suppose 0 = 17*s + 5*s - 198. Calculate the highest common divisor of z and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4748512 by -6632.\nAnswer: -716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -62\/7 (c) -0.4 (d) 4 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -25*m**2 + 1992*m + 15922. Calculate x(87).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119.6 + -118. Let m = 1.8 - j. What is the fourth smallest value in -5, m, -1\/3, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + -43. Let u(c) = -238010*c + 20. Let b be u(y). What is b rounded to the nearest ten thousand?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -92*s - 3936642. Let m(r) = r. What is w(m(t))?\nAnswer: -92*t - 3936642","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/3*-20*(-63)\/(-336). Let z(k) = 7*k - 2. Let n(g) be the second derivative of -4*g**3\/3 + 3*g**2\/2 + 5*g. What is u*z(c) + 4*n(c)?\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**2 - 2*w - 1. What is the tens digit of v(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {s: 1, x: 2, i: 3, c: 1, m: 2, l: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**2 + 6*y + 41. Let l(n) = 7*n**2 - 5*n - 42. Let b(s) = 3*l(s) + 4*w(s). List the prime factors of b(10).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**7\/840 - h**6\/60 + 3*h**5\/40 + h**4\/12 - 3*h**3 + 19*h**2. Let j(f) be the first derivative of y(f). Calculate j(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4 - g**2 + 0*g**2 + 6*g + 1. Let m = 9 - 15. Let n(l) = -l**2 - 7*l - 2. Let s be n(m). Give v(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-7 + -3 + (4 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**3 + r - 4. Let g(t) = 3*t**3 + t - 3. Calculate 4*g(u) - 3*s(u).\nAnswer: 3*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 65.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 35*q**2. Let h(j) = -133565*j**2. Determine s(h(b)).\nAnswer: 624386322875*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k**4 - 6*k**4 + 7 - 5 - 4*k to the form b*k**2 + s*k + n*k**4 + y + q*k**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*(-2 + 0 + sqrt(108) + sqrt(108) + 5 + 0 + sqrt(108))**2.\nAnswer: 1296*sqrt(3) + 11772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 1)*(4*z**5 - 3*z**5 - 2*z**5) + (3*z**2 + 0*z**2 - 4*z**2)*(-z**3 + z**3 + 2*z**3).\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/35)*t**15*t**(-2\/33)\/(t**18\/t*t) assuming t is positive.\nAnswer: t**(-3469\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368 + 889*a - a**2 + 368.\nAnswer: -a**2 + 889*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 + 85*g**2 + 200*g - 43. Give d(-40).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752 is divided by 75.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**2\/7 - 209115016*y\/7 - 5466136239585032\/7 = 0.\nAnswer: -52278754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.22 or -1\/5?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -339 divided by -13?\nAnswer: 339\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -379, -380, -381, -382, -383, -384?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 498854.\nAnswer: -5\/249427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7 + 0 + 0 - 3 + 233*m - 228*m. What is z(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11974961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + b - 2 + b)*(b**2 + 2*b - 2*b).\nAnswer: 2*b**3 - 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5252*z - 36636. What is t(-7)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45917 plus -236?\nAnswer: 45681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 5. Suppose -b*c + 25 = 2*v, c - 6 = -c. Suppose -5*w + 4*f = 0, 4*w + 4*f + 13 = 49. Solve -5*i + w*x - 2*x = 5, -i - v*x = 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 12 - 11 = -8*k + 4 + 29 - 32, 0 = 3*m - k + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 126, -24, 4\/9, -12, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**2*b))**(8\/5))**29\/(b**(2\/5)\/b*b**(5\/2)*b**(1\/3)*b**(-6)) assuming b is positive.\nAnswer: b**(-2671\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 210 = -2*j. Suppose -82 = -2*p + j. Is (p - 0)*(-1)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*b - b + 1, 0 = 2*b - 2. Calculate the smallest common multiple of u*(-3 + (-50)\/(-15)) + 7 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5\/2, 4.5?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**3 - l**2 + 6. Let w be a(9). Let u = -5230 - w. What is u rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780.6451 weeks in seconds?\nAnswer: 472134156.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -42. Suppose 3*c - j = 18, 4*j = -2*c + 15 + k. Suppose -3*s - 8 = -c*s. Solve -4*w + s*w - 4 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2028 (base 12) to base 2\nAnswer: -110110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1688 - 33769\/20. Let d = -64\/127 + 4963\/2540. Calculate the common denominator of d and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 502 = 620. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 4*g**2 - 4*g. Let z(y) be the first derivative of y**3\/3 - y**2\/2 + 2. Suppose -20*t + 23*t + 12 = 0. What is t*z(m) + w(m)?\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -160 + 159. Put q, 1, 40 in decreasing order.\nAnswer: 40, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roeoeravoravga. Give prob of picking 1 v, 1 o, and 1 r.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5070)\/(-91))\/((-4)\/(-784)). What is the hundreds digit of d\/(-180)*(-36)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (768\/80)\/(1\/5). Let v = -42 + n. What is the third derivative of 67*y**6 + 77*y**v + y**2 - 136*y**6 wrt y?\nAnswer: 960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 890125532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -5086 (c) -0.3 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 0 - 34\/(-2). Suppose -24 = -2*f - 20. Let i = f - -124. Calculate the greatest common factor of i and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 4*j**2 + 4*j + 4. Suppose 0 = -3*z + 4*y - 13, -2*y + 0 = 5*z + 13. Let c be u(z). Solve l - 2 = -c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43a0 (base 14) in base 9?\nAnswer: 17044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-402985)\/44*(5 + -1). Let k = -25194 - l. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 c, and 1 i when three letters picked without replacement from {h: 3, u: 3, i: 2, c: 1, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -29*o**3 + 14*o**2 + 61*o. Let m(i) = 27*i**3 - 13*i**2 - 59*i - 1. Let j(w) = -14*m(w) - 13*s(w). Give j(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 19. Suppose 0 = -4*x + 3*k + 125, -2*x + 4*k = -d*x + 17. List the prime factors of x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*w. Suppose -5*d + 1 = -14. Suppose d*v = -w*v + 57. Solve -5*m = 2*l - 5, -4*l = -5*m - v - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 847.7333 years in months?\nAnswer: 10172.7996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/14 + 2\/70. Let m(n) = n**2 - 23*n + 77. Let y be m(4). Let w = -47 - -142\/3. Which is the closest to i? (a) -6 (b) y (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 16. Let n be x(14). Suppose f**n - 6*f + 3*f**2 - 4*f**2 + 4 + 2*f**2 = 0. Calculate f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-11\/4)*f\/(f*f**(-1\/21))*f*(f**9)**(7\/5) assuming f is positive.\nAnswer: f**(4577\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4))\/(3\/(-18)). Suppose 0 = z*d + 10 - 85. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 300 or 210?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3745256*c**3*n**3 - 5*c**2*n - 329073*c*n**3 wrt c?\nAnswer: -22471536*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*y + 10. Suppose -6*g + 11*g = m + 5, -2 = -g. Solve y*i - 4*i = 4*t + 14, -m*t + 3*i - 20 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**3 - 28*l**2 + 2*l + 65. Calculate b(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 11402?\nAnswer: -11403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**6\/120 - o**5\/15 + o**4\/24 - o**3\/6 - o**2. Suppose 0*h + 2*h - 6 = 0. Give f(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5657\/4 - 1431. Find the common denominator of -93\/20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12347 is divided by 4114?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 13 = -5*d, -x + 0*d = -5*d + 14. Suppose 178 = 4*g - 30. Let m = g + -47. What is the highest common factor of m and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.58 times -1\nAnswer: -16.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -474\/187 - -40\/17. Put 2, -0.2, j in descending order.\nAnswer: 2, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 2*s**7\/63 + 2*s**6\/45 - 9*s. Let z(b) = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**2\/2 + 9*z - 6. Let k be v(-12). Let y be -2*2*1\/(-2). Put y, 1, k in ascending order.\nAnswer: k, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 255, -1\/3, -10\/9, -2 in decreasing order.\nAnswer: 255, -1\/3, -10\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*x = 57*x - 15390. Suppose -145*f + 142*f + x = 0. Is f a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-44820)\/(-378) + (-3)\/(-7). Let n = j + 354. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -253 + 1778. Suppose -3*n + d = -3994. Let u = -5433 + n. Round u to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1943.\nAnswer: 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 615 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 46*q + 68. Let w be t(-28). Let b = w + 217. Solve 2*r + 2*r + 25 = 3*g, b*r = -20 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in 0.6619, 0.1, 4, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*9 + 0\/6. Suppose 3*u = -2*r - 0*r + 29, 5*r + 2*u = v. What is the derivative of -w**2 - r + 6 - 6*w**2 wrt w?\nAnswer: -14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/70*-7)\/((-8)\/(-20)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -10. Suppose -2*x + j*y + 17 = 0, 0*y + 1 = x + 5*y. Are x and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-28) - ((-49)\/(-343) - ((-849)\/84)\/1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 55102\nAnswer: -2755.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.49 or -53?\nAnswer: -2.49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-3 + 8)) + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1246373 (base 9) to base 6\nAnswer: 22330150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0063 at least -0.06513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2510*x + 117079 = -435*x - 39223 + 9052 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 7*f**2 + 4*f - 12. Determine m(5).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -80, -85, -92?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-28))\/3*(-2)\/3.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxs when three letters picked without replacement from dssdxddxsdddsd?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 54*n**2 + 42. Let r(d) = d**2. Give m(r(q)).\nAnswer: 54*q**4 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-400)\/675*(-945)\/360?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42656*b**2 - 2*b - 816052 wrt b.\nAnswer: -85312*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - 13*g**2 + 3*g - 9. Let s = -14308 + 14314. Determine y(s).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3))**(3\/16)\/((b\/((b*b**(-13)*b)\/b))\/(b*b\/(b**(-1)*b*b)*b)) assuming b is positive.\nAnswer: b**(-87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -215 - 15005?\nAnswer: -15223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**3 - l**2 - 2*l. Let c(f) be the first derivative of -f**4\/4 - f**3\/3 - f**2\/2 + f - 2. Let k(p) = -4*c(p) - z(p). Give k(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6129d (base 16) in base 5?\nAnswer: 100213411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 50*w + 66. Let o be f(24). Suppose 18*a - 246 - o = 0. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -23*d**4\/3 + 620*d**2. Let b(x) = -4*x**2. What is z(b(l))?\nAnswer: 736*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - t - 23 = 0, -4*b - 4*t = -10 - 6. Suppose -b*x = -5*x - 116. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 7*c**2 - 7*c - 10. Let z be j(5). Suppose z*b - b - 7836 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-5 - (-22 + 20)) - -26.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225961?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5077, -4, 8 in ascending order.\nAnswer: -5077, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20 (b) 5 (c) -1016\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29, -6336, 5.38?\nAnswer: 5.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -601*m**3*s + 9*m**3 - m**2 wrt s?\nAnswer: -601*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.011043 to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/7 (b) 0.1 (c) -4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2539 divided by -6940\nAnswer: -2539\/6940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w*w\/(((w\/w**(-6))\/w*w)\/w))))\/w**(1\/9))\/(w\/(((w\/((w\/(w*w**(-1)))\/w))\/w)\/w))**(2\/97))**(-17\/2) assuming w is positive.\nAnswer: w**(61625\/1746)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (10 - (-8 + 15) - 7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 - 4*m - 4. Let b be j(-3). Let p = 8 + -12. Let v be (-1)\/2*p\/b. Do 1 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5623 and 32778.\nAnswer: 184310694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 21003730 divided by -5\nAnswer: -4200746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z - 34. Let l be i(-5). Which is the third smallest value? (a) -2\/5 (b) 0.4 (c) -20 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 6*j**2 + 3*j**2 + 13*j - 13*j.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 9:17 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -75, -117, -195, -321, -507, -765?\nAnswer: -1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-77)\/(-55)*-5 + 36\/3. Solve -3*p + k = o*k - 6, -8 = -4*p + k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbhthhhh. What is prob of picking 1 h and 2 b?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125 - -130. Let b(g) = -g**3 + 16*g**2 + 3*g - 3. Is b(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42637.\nAnswer: 7, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 7 + 13 = 4*q, 0 = q - 2*x - 14. Let u be (-42)\/(-12) - q\/4. Suppose u*j + 40 = 110. Does 23 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 4*i + 196. Suppose 5*u + i*a - 964 = 0, -u - a + 244 = 50. Suppose -188*o + u*o - 255 = 0. Calculate the greatest common factor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v + 3*v + (-3*v + 5*v - 3*v)*(1 + 2 - 1))*(0*v**4 + v**4 - 3*v**4).\nAnswer: 2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -244*t - 219. Let a be m(3). Let s = 952 + a. Let o(x) = 10*x**2 - x. What is o(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4 = 0, 2*u - m = -2*m + 15. What is the lowest common multiple of (u\/(-10))\/(14\/(-70)) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/34320*-26)\/(1\/(-20)*-2)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -20223?\nAnswer: -20223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/23 in 3, -2\/3, -1, -97, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 187 and 48059.\nAnswer: 48059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5*u + 20. What is the tens digit of u + (-180)\/(-1 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0 - -2 - (-3 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17*(0 - (-21)\/3). Let i(j) = j - 12. Let c be i(12). Suppose w - 17 = -c*w. What is the greatest common factor of w and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 278*y + 250. Let d(c) = -834*c - 740. Let w(o) = -5*d(o) - 16*g(o). Differentiate w(v) with respect to v.\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 5*m - m. Let y = 42 + m. What is the remainder when 83 is divided by y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 8*n**2 - 6*n - 26. What is p(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*z**3 - 17*z**4 + 19*z**4 + 2 + 2*z + z**2 - 2 to t + h*z**2 + a*z**3 + s*z**4 + n*z and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/11*k**2 - 12\/11 - 18\/11*k.\nAnswer: -6*(k + 1)*(k + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 2*n + 3*n)*(0 + 0 - 2*n) + 0 + 2*n**2 + 0 - 2*n**2 - 2*n**2 + 3*n**2 - 153*n**2 - 128*n**2 + 325*n**2.\nAnswer: 41*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 - -0.5. What is the nearest to -38\/7 in -0.5, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38.7 and 7.0245.\nAnswer: -271.84815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 35*p**2\/2 + 8*p + 120. Let o(t) = 19*t + 4. Let l(s) = 6*b(s) - 11*o(s). Give l(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -165.59\nAnswer: -662.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46023964 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162062 is divided by 39922?\nAnswer: 2374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68.6 - -676.205.\nAnswer: 744.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3373, -13730, -30991, -55156?\nAnswer: -86225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2007891 is divided by 334627.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2, 7, -1, 19, 4331, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 4*c - 8. Let w be b(-6). Suppose -5*p = w*s + 9 + 27, p + 10 = 2*s. Let q be ((-110)\/1375)\/(p\/10 + 1). Which is smaller: q or -3\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-230028)\/(-36))\/(2\/6) - (-1 + 3)?\nAnswer: 3, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 418270 and 135730.\nAnswer: 2770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 + 0*a**2 - 8883585*a + 17767170*a - 8883585*a.\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 7*a**5\/10 + a**4\/24 + a**3\/6 - a**2. Suppose -5*w + 4*t = -t + 15, w = -2*t + 3. Does 25 divide b(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 22. Let f(m) = m + 21. Let k(h) = -4*f(h) + 3*g(h). Let y be k(-5). Solve y*i = -w - 4, -7 = -5*w + i + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -9 - (-3 + 1)) + 6 + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*sqrt(210))\/sqrt(6))\/sqrt(5).\nAnswer: -5 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 903131?\nAnswer: 151, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 812?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(87\/(24795\/114)*10\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 16\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 115 (base 6) to base 10\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(0 + 0 + 0). Let h = 1.8 - 1.1. Let p = 0.6 - h. Which is the third smallest value? (a) p (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69042, -68997, -68952, -68907, -68862, -68817?\nAnswer: -68772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19978 and -2?\nAnswer: 19980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l - 2 + 11*l - 16*l. Calculate t(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w - 22302 = 3*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -18. Let g(m) = -m**3 + 2*m**2 - m + 3. What is g(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -5\/21 (c) -4\/5 (d) 11\/19 (e) -1\/3 (f) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4655)\/342)\/49)\/(3375\/100).\nAnswer: -2\/243","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 5*a - 28 + 43, -3*n + 2*a - 9 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 68\/((-3)\/(60\/8)). Let o = 84 + n. Let m = -47 - o. What is the remainder when m is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25761 + -25748. Calculate the remainder when 2959 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**6\/200 - 11*m**5\/75 + 7*m**4\/30 + 31*m**2 + 5*m + 9. Determine r so that d(r) = 0.\nAnswer: 0, 2\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11836\/3 - -3945. What is the biggest value in -17.31, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1982439\/4670 - 12\/2335. Let j = g - 425. Which is the biggest value? (a) j (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124 + 104.8. Let n = j + 20.77. Let d = 0.57 - n. Sort 2, d, -1\/2 in decreasing order.\nAnswer: 2, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 19*a**2 + 32*a - 24. Let c be y(-17). Let i be (-5)\/(-2) + c\/(-4) + 3. Let m(k) = k**2 - 6. Determine m(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 5*d + 4. Calculate f(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 49) + 15 + -15?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3799218 >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 184329?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z + 0*z - z**2 + 4 - 1. Let x(k) = -k**3 + 9*k**2 - 8*k + 4. Let h be x(8). What is the units digit of o(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231a (base 14) to base 9\nAnswer: 8327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 721498 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99211 is divided by 1344?\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 13) to base 15\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - n + 10. Suppose 0 = -7*g + g + 300. What is the greatest common divisor of g and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-seven fifths of a hour?\nAnswer: 41040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 657 divide 2193723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 11*n + 14. Let l(s) = 3*s - 41. Give l(b(r)).\nAnswer: 33*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 562.6753 to 0 decimal places.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**6 + 367*i**4 + 1346*i**2.\nAnswer: -360*i**3 + 8808*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 416 + 24. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, l: 5, i: 1, r: 8}. What is prob of sequence klri?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -61811 + -34.1\nAnswer: -61845.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25903105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -168*z - 196*z - 19*z - 199*z + 163*z in the form k*z + j and give k.\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 8 = -12*x. Suppose x*g = -0*g + 2. Is (-3 - g) + (-756)\/(-9) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33364332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1904 divided by 34\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485280984261 take away 0.2?\nAnswer: 1485280984260.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*j - 3. Find the second derivative of -3*q - 3*q**j - 4*q + 4*q wrt q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23020?\nAnswer: 2, 5, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33.7 and 0.02.\nAnswer: 33.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + sqrt(176) - sqrt(44)) + sqrt(11) - (5 + ((sqrt(11)*2)**2 - sqrt(11))).\nAnswer: -49 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 2*w + 20. Suppose 0 = 3*n + c + 3*c + 23, w*n + 20 = -3*c. Let r be ((-34)\/28 - n)*-2. Which is greater: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110036 or -110037?\nAnswer: -110037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13 - (-436)\/32)*8. Let r = 3.4 + -3.6. What is the second smallest value in r, v, 0.5, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11383055069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2477 (base 8) to base 14\nAnswer: -6bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-42)\/(-108))\/(((-20)\/3)\/(-2)). Let f = v - 107\/300. Which is the smallest value? (a) 0.3 (b) f (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719986118?\nAnswer: 2, 359993059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 35*m**5\/3 + 113*m**4\/4 - m**2 - 38*m. Find the second derivative of q(w) wrt w.\nAnswer: 1400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007768\/544 - (2 + (-18)\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 6*u + 5*u**5 - 6*u**3 - 2*u**5 - 3*u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -486\/7*p - 4*p**3 + 270\/7 - 10\/7*p**4 + 36*p**2 + 2\/7*p**5.\nAnswer: 2*(p - 3)**3*(p - 1)*(p + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -323, -3 in descending order.\nAnswer: 4, -3, -5, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1324296 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 4*p + 4 = 0. Solve -1 = -p*f - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00074543 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05443 and -1373969767.6.\nAnswer: -1373969767.54557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -y - 5. Let z = y + 6. What is the greatest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, c: 9}. Give prob of sequence bb.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 11*x**2 + 11*x + 15. Let b(g) = -5*g**2 - 5*g - 7. Give -9*b(z) - 4*k(z).\nAnswer: z**2 + z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5818523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042135013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 9:09 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -936*a + 18255.\nAnswer: -936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 + 13*l - 7*l - 20*l**2.\nAnswer: -14*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 68*v + 374. Calculate the remainder when c(5) is divided by 230.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.8 and 34.7.\nAnswer: 35.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.55494 (b) -0.5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4583 or 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17973 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 0 + v + 3 + 11. Let r be b(-9). Suppose -j = w - r, 0*j + 3*j - 19 = -4*w. Solve -w*t = -2*s - 4, -3*t + 2 = -0*s - s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 18*r + 43. Let w be v(15). Let i = w - 118. Which is smaller: -1\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 4*b**2 + 20*b + 3. What is n(-4)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*g + 490803, 13*r - 19*r = 5*g - 588965. What is r rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.06, -132.305, 1 in descending order.\nAnswer: 1, -0.06, -1\/2, -132.305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 8*o**2 - 3*o**3 - 9*o - o**3 + o**2. Let t(v) be the first derivative of -v**4\/2 + 4*v**3\/3 - 2*v**2 + 3. What is 9*t(i) - 4*y(i)?\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -785 - -3?\nAnswer: -782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*f**3 + 1612 + 19*f + 52*f**3 - 1614 wrt f.\nAnswer: 456*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-221)\/(-26) - 3\/6*-3. Suppose -10*g + 290 = c. Let i = 2 + 4. Calculate the lowest common multiple of g and i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -9*h**2 - 2*h - 7*h**2 + 9*h + 5*h**2. Suppose 65 = 2*c + m, -5*m - 5 = -0*m. Let n(l) = 17*l**2 + c - 11*l - 33. Determine 5*n(g) + 8*u(g).\nAnswer: -3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003557 rounded to six decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 7. Let i be v(5). Solve -i = -2*x + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -c - 9, -13 + 23 = -3*a - c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7}. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -3\/4, 278, -0.022?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {y: 4, r: 7}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -349 - -348. What is the third smallest value in 0.1, -5, 10\/7, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4245131690 and -5.\nAnswer: -4245131695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**4 + 259*j**3\/4 + 2023*j**2\/4 + 1755*j\/2 - 252 = 0?\nAnswer: -56, -6, -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times -1618153?\nAnswer: -33981213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*q - 272 - 227 - 271. Calculate the remainder when 157 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)\/(u*u*u*(((u\/u**(-6))\/u)\/u)\/u)*u**(-1\/2)*u*u**(-2\/15)*u)**26 assuming u is positive.\nAnswer: u**(-2977\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -1292205?\nAnswer: -129220.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4200 = -57*a + 267*a for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 3 - (6 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13299, -13293, -13283, -13269, -13251?\nAnswer: -13229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2844442 divided by -264\nAnswer: -1422221\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31072 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((-200)\/(-10))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6929.6571 rounded to the nearest integer?\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2008*o**3 + 2*o - 2*o - 4029*o**3 + 2017*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 6*t**2 - 2*t - 2. Let s be (63\/14)\/((-7)\/4 - -1). Calculate the lowest common multiple of 22 and v(s).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23051\/965 bigger than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 + 3*u. Determine i(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -551, 1, 3, 2 in ascending order.\nAnswer: -551, 0, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (97 - 18) + (24 - (45 - 52))\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, k: 4, y: 2, r: 2}. Give prob of sequence yykk.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 3*b**2 - 41*b + 37*b)*(2*b**2 + 2*b**2 - 3*b**2).\nAnswer: 2*b**4 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.7\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 11*j**2 + 10*j - 236. What is s(12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 982093 a multiple of 504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9467*v**5 - 29122*v wrt v.\nAnswer: 189340*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60190 - -6.87.\nAnswer: -60183.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 19. Let l = 3.61 - 600.61. Let z = 598 + l. What is the smallest value in k, z, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 6. Which is the third biggest value? (a) 1\/6 (b) -5\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-8) - (-130)\/39. Let k(g) = -g**3 + 8*g**2 - 8*g + 5. Let i be k(7). Which is the third biggest value? (a) v (b) 4 (c) -0.1 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16 - 51)*(-95100)\/21. What is u rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-85)\/34)\/(5\/4))\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 2 + -5)*(-1)\/1. Suppose -a*i - 5700 = -23*i. Calculate the remainder when i is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1352052 by 2106.\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11111 - 201121?\nAnswer: -120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/6 + 1301*h**2\/3 - 121279*h\/6 + 700396\/3.\nAnswer: (h - 23)**2*(h + 2648)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -27*u. Let q(s) = 1965907*s + 1. Determine y(q(f)).\nAnswer: -53079489*f - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/612 and -133\/108?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 97, -13, -4\/5, 0, 6, -1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -8. Suppose -11*i = -w*i. What is the units digit of -1 - -9*(3 - i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = h + 2. Suppose 5*y - m - 390 = 0, 2*m + 134 = 2*y + 6*m. Let j = h + y. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-5))\/d**(-1))\/((d**(2\/9)*d)\/(d*d**(-1\/4))))\/((d*d*d**(2\/5)*d)**(-2\/57)*d*(d\/(d**(-5)*d*d))\/d*d*d**0) assuming d is positive.\nAnswer: d**(-28567\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72876?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8204)\/(-2))\/((-97)\/(-582)).\nAnswer: 2, 3, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 521.9 + -482. Let n = g - 35.9. What is the fourth smallest value in -0.2, -5, 14\/3, n?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -233 - -234. Suppose l - 21 = 5*w. Let n be (-174)\/40 - (-6)\/(-15). Is w at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 561857 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -35331 at most as big as -3356417\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4643 = 24*o + 2555. What is the remainder when 275 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 17*q - 170 = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46026 - 30276. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121990000 rounded to the nearest one million?\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21258 is divided by 10604?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 7 + -4 + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/sqrt(3))**2 - sqrt(48))*1 - ((0 + sqrt(27))**2 + sqrt(12)*2) - (1 + sqrt(96)\/sqrt(2) + -4)*-3.\nAnswer: 4*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -213*t - 15 + 14*t**2 + 234*t - 5*t**2 - 18*t**2. Let v(d) = 5*d**2 - 10*d + 8. Calculate 11*v(j) + 6*x(j).\nAnswer: j**2 + 16*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8555 - 8549. Let q(s) = -63*s**3 + 13*s**2 + 13*s - 2. Let y(v) = -31*v**3 + 6*v**2 + 6*v - 1. What is t*q(x) - 13*y(x)?\nAnswer: 25*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -22. Let r be (80\/44 - 2) + (-72)\/(-33). Solve r*u = -4*j + 14, 2*u + 2*j - c = 3*j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(19) + (sqrt(475))**2*1 + 1 + sqrt(19) + (sqrt(171) - sqrt(19)) + sqrt(19).\nAnswer: 5*sqrt(19) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 561.\nAnswer: 8\/561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 - -52.95. Let b = l + -51.55. What is b rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1050\/(-300)*(-30)\/(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: (9 - 27 - -2) + (-43 - -70)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzqpssqyhyq. Give prob of sequence sqsq.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 4)*(-21 + 12 + 10)*(y**2 - y**2 + y**2) to the form r*y**2 + k + n*y and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) 2 (c) -0.5 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 866 = 5*s, -5*s + 506 = -o - 363. List the prime factors of s.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -473\/12 - -59\/3. What is the common denominator of 113\/408 and x?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1064 divided by 266\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4553 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -663 + 663.243. Let k = v - 0.143. Let w(g) = g**3 - 4*g**2 + 2*g + 3. Let z be w(3). Which is the fourth smallest value? (a) 0.3 (b) z (c) k (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31012 + -3?\nAnswer: -31020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from rjrqqqooorrrovr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -24. Let r be 2*2 + -23 + 20 + 2. Solve 5 + r = 2*k - s*t, k - 3*t - 5 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78*d**3 - d + 0*d + 173*d**3 - 1405*d**2 + d wrt d.\nAnswer: 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 11*v + 15. Let c be m(-10). Suppose -5*u - 3 = 3*z + z, c*z = 3*u + 24. What is the third derivative of -z*w**2 + 3*w**5 - 11*w + 11*w wrt w?\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 169 and 111709.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**3 - 6*c**3 - 3*c**3 + (-2*c + 0 + 0)*(-5*c**2 + 2*c**2 - c**2) as q + b*c**3 + w*c**2 + x*c and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*((sqrt(567) - -4*-1*sqrt(567)) + sqrt(567) + sqrt(567) + -4 + (sqrt(567) - (sqrt(567) + -1)))**2*-6.\nAnswer: 1296*sqrt(7) + 13821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 12. Let w be (r - 14)\/(6\/(-2)). Let k(d) = -d**3 - 3*d**2 - 2 + d**2 + 2*d - d + d**2. What is k(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2059 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - -5*sqrt(40))\/(sqrt(245)*-4))**2 + ((sqrt(36)\/(sqrt(18)\/sqrt(2)))\/(sqrt(242)*-2))**2*-6.\nAnswer: 13465\/47432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 + ((-6)\/(-4))\/(72\/22) and 15\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057906801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, f: 3, w: 1, m: 4}. What is prob of sequence lmll?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/14 - 39\/(-364). What is the third biggest value in -0.4, s, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 8. Let z = 67 + -249. Let d be (-9)\/21 + (-106)\/z. Sort d, f, 0, -2\/3 in descending order.\nAnswer: d, 0, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*m - 876, m - 444 = -53*n + 52*n. Suppose -s + 3*r + 13 = 0, -9*r + 7*r + 38 = 4*s. What is the greatest common factor of s and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**5\/h)\/h)\/h**1*((h*h*(h\/h**(-1))\/h)\/h)**(-2\/33)*((h\/(h*h**(-2\/7))*h*h)**(-38))**(1\/26) assuming h is positive.\nAnswer: h**(-4390\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4\/5 (b) 1 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6499 - 5739. Calculate the greatest common divisor of c and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5925)\/(-375) + 2\/10. What is the fourth biggest value in j, 2\/3, -0.4, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/90)\/((480\/4995)\/16)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 255*r - 245*r - 250. Which is bigger: 38 or r?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 5*c**2 + 9. Suppose 4*t + 14 - 33 = -h, 3 = t + 2*h. What is the least common multiple of 1 and y(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*v + 8, -b + 4*v - 7 = 0. Calculate the greatest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11315 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5343 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: Calculate the remainder when 16234540 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 2)*(0*k - 5*k + 4*k) + 2*k - 3*k + 3*k)*(5*k**2 - 9*k**2 + k**2).\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*b + 63*b = -61*b - 520 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 856a (base 13) to base 12\nAnswer: a865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*(-1 + (-2 + sqrt(20) + 1)**2 - (-4 + sqrt(5) + (sqrt(60)\/sqrt(3))\/sqrt(4) + 2*sqrt(320))).\nAnswer: -44*sqrt(5) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1361 divide 79752675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -380202.\nAnswer: -380202.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 18. Let k be w(-10). Suppose -k*r = 4*r - 4740. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**3 - 40*f**2 + 115*f + 150 = 0. Calculate f.\nAnswer: -10, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 9*r**2 + 15*r - 89. Does 62 divide j(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -8087 (c) -629\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l - 11*l + l + 16*l.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -40 (b) 3\/5 (c) 3\/4273 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-9) - 22\/6. Let d = -9 + 17. Suppose 6*u = d*u. Sort -3, u, h.\nAnswer: h, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*p**3 - 13*p**2 + 21*p**2 - 8*p**2.\nAnswer: 26*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-30 + 28) - -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 8 - 44. Find the third derivative of -4*a**2 - 3*a**3 - r*a**3 + 7*a**2 wrt a.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1302 in 3\/8, 244\/19, 3\/2, -2\/7, 1?\nAnswer: 244\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*p - 1860 = 4*j, 0 = -4*p. Let s be (-4)\/(-3) - j\/(-45). Sort -5, 0, 9, s in ascending order.\nAnswer: s, -5, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1205*m**2 - 6392*m + 30262263?\nAnswer: 2410*m - 6392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -10 + -8 + 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -32. Which is the closest to 1? (a) -5 (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9176661 to the nearest integer?\nAnswer: 3029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.15 - -0.71. Let j = 1.56 - l. What is the third biggest value in j, -0.4, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23099877 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -10*y**4 + 7*y**2 - 8*y - 70. Let i(s) = -9*s**4 + 6*s**2 - 10*s - 68. Let p(j) = 7*i(j) - 6*o(j). What is the derivative of p(t) wrt t?\nAnswer: -12*t**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -184*a**3*o**3 + 2*a**3*o**2 - 11*a**3 + 4*a**2*o + 959*o**3 wrt a?\nAnswer: -1104*o**3 + 12*o**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*v + 32, -3*n = 2*v - 2*n + 4. Let l(g) = 18*g**2 + 3*g + 4. Let h be l(v). Suppose 12 = -3*j, -5*z + 4*j + j + h = 0. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69.8 - 71.8. Let s = 1.9 + -2. Let w = s + 0.3. What is the third smallest value in -3, w, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*q + 181078 = 89567 + 87695 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-38)\/((l*l**(3\/8)\/l*l)\/l*l**1))\/(l**(-2\/13)\/(l*l*(l\/(l\/(l\/l**(-8\/5))))\/l)*(l*l**2\/l)\/(l\/l**(-2\/13)*l)) assuming l is positive.\nAnswer: l**(21077\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.71663158 rounded to four decimal places?\nAnswer: 2.7166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-4) - 6\/(3 + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61268 rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**3\/6 + 5*b**2\/2 - 6*b - 3. Let q(z) be the first derivative of d(z). Differentiate q(o) with respect to o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 5:54 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 g when four letters picked without replacement from {a: 1, g: 4, j: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x - 8350053*x**3 + 8350047*x**3 + 15*x.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + 0*b + 4*b)*(2*b + 2*b - 6*b) + 4 - 35*b**2 - 8 + 41*b**2 in the form t*b**2 + m*b + r and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33582986 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 26*x - 25*x. Let d = x - 53. Let j(o) = -o**3 + 5*o**2 + o - 2. Calculate the least common multiple of d and j(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45584853 to the nearest integer?\nAnswer: 6752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 4:04 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r + r - 7*r)*(-1 + 5 - 3)*(216 - 122 + 1950) to the form w + h*r and give h.\nAnswer: -12264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46609656 divided by -4.\nAnswer: 11652414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 5. Let h = 88 + -81. Let j(s) = -s + 3. Give h*j(p) - 4*u(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/15, -1\/2, -2 in ascending order.\nAnswer: -2, -1\/2, -2\/15, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9874.\nAnswer: 2, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*f - 5 = 0, -4*f = -1 - 11. Suppose -y = 3*l + 1. Is 8 a factor of l\/(-10)*(0 - -74)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2009, -2032, -2057, -2084?\n\"Answer: -m**2 - 20*m - 1988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.395 + 0.168. Let l = 0.027 + s. What is the smallest value in -4, -0.3, l, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*c + 4383 = 70*c + 1757 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -263, -415, -589, -791, -1027?\n\"Answer: -r**3 - 5*r**2 - 130*r - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 + 73 - 37)*(8*k + 13*k + 31*k).\nAnswer: 4212*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**5\/10 + 23*c**4\/3 + 196*c**3\/3 + 200*c**2 + 564*c. Factor s(f).\nAnswer: -2*(f - 50)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 20 = 8*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*d - 79, 2*p - 5*d - 38 - 39 = 0. What is the remainder when p is divided by (2\/(-4))\/((-6)\/168)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 316 + -311. Suppose n - 2*h - 262 = 28, -2*n + 616 = w*h. Calculate the remainder when n is divided by 77.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 205 = -p, -2*p - 41 = -r - 3*p. Suppose 2*a - r = -3*y + 2, 2*a + 2*y = 44. Suppose 5*u = 2 + a. Solve 3*x - 18 = -x + 2*d, -u*x - 5 = 3*d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*q - 0 - 16, -q - 4 = -5*n. Let g be 2\/4*6 + q. What is the smallest value in 0, g, -2\/27?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -5*b + 5*p, b - 6 - 17 = 4*p. Let m(k) = -7*k + 13. Let l(a) = 6*a - 14. Let h(i) = -6*l(i) - 5*m(i). Determine h(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53\/3 < -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13\/3 - -4. Suppose -5*y = -2*r - 11, -5*y = -2*r + 3*r - 2. Let z be y\/1 - -1 - 1. Which is smaller: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/41 < 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -1 - (-38)\/9. Is 2 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 44 = 2*x + x, -4*x + 50 = -2*z. Let h(b) = 2085*b**2 - 6246*b**2 - 26*b + 2074*b**2 + 5 + 2089*b**2. Calculate h(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001808 to 5 dps.\nAnswer: -0.00181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41, 26, 11, -4?\n\"Answer: -15*r + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/78430 and 61\/50.\nAnswer: 392150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 - (-10 + 2) - 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 1979 + 1989 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68766231 rounded to two decimal places?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, n: 4}. What is prob of sequence ln?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 12693*g + 1 + 12696*g + 1.\nAnswer: 3*g + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -18. Let t(o) = -2*o**2 + 3*o - 2. Let j be t(w). Find the common denominator of (j + 10)\/((-5)\/47) and 33\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327527306 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**2 - 3*m**2 + 0*m**2 + (0*m + m + 0*m)*(-14 + 14 - m) + 22*m**2 + 14*m**2 + 1 - 24*m**2.\nAnswer: 13*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -2450.\nAnswer: -3\/2450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/40)\/((-6)\/(-8)). Let p = j - -7\/12. Suppose -p + 3\/4*v - 3\/4*v**2 + 1\/4*v**3 = 0. What is v?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 31 = -2*v, 0 = 5*v + 2*m - 34 - 33. Let r = v + -10. Which is the nearest to -1? (a) r (b) 2\/5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 19 - 5)*(3*q - 4*q + 2*q + (3 + 2*q - 3)*(-2 + 4 - 4) - q - 12 + 12).\nAnswer: -80*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1\/2))\/(y\/(y\/y**(-5\/6))*y*y*y))\/(y*y*y\/(y**0\/y*y)*y)**(4\/11))\/(((y*(y\/y**(2\/7)*y)\/y)\/y)\/(y**(-1\/5)\/y*y))**(3\/14) assuming y is positive.\nAnswer: y**(-26819\/8085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4157 + 4117.54. Let h = -1.54 + s. Which is the second smallest value? (a) -4 (b) 5 (c) 0.3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -11, 16, 85, 214, 421, 724?\nAnswer: 1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 1 + 3 + 0. Suppose -2*v - 126 = -4*v. Suppose 4*i = -4*r - 156, -v + 9 = i - d*r. What is i rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -3701?\nAnswer: -36dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6306402 millilitres to litres.\nAnswer: 0.0006306402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 562?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -193\/31 - -548\/93. Let s = 4 + -1. Which is the nearest to d? (a) 0 (b) 2\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1618*i + 8598*i + 2303*i + 681*i + 3743*i + 11522*i)*(-i**2 - i + i) to h*i**3 + g*i**2 + u + p*i and give h.\nAnswer: -25229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*i + 23*i**3 - i**2 + 73*i - 25*i**3 - 9 as a*i + t*i**3 + c*i**2 + y and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.052539 rounded to one dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p. Let t(a) = 5*a**2 - 9*a - 486. Determine t(c(y)).\nAnswer: 20*y**2 + 18*y - 486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (8 - 9) + -36 + -1.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19615.2815 rounded to the nearest 10?\nAnswer: 19620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l + 19247 - 19397 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 201*g**2. Let l(a) be the first derivative of a**2\/2 + 135. Determine l(b(h)).\nAnswer: 201*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461084490.\nAnswer: 2, 3, 5, 251, 20411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfkkfffkkykkfkkkf. Give prob of sequence fff.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 358 = 2*w, -h + 3*w + 212 = 25. Calculate the least common multiple of 119 and h.\nAnswer: 2975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007238 rounded to 5 dps?\nAnswer: 0.00724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.61449 years to months.\nAnswer: 427.37388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/213605 greater than or equal to -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + o. Suppose -5*h - 3*b + 11 = -4*b, 0 = -5*b - 5. Let r(j) = -12*j**2 + 6*j + 8. Let i(a) = h*r(a) - 28*d(a). Factor i(p).\nAnswer: 4*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + 9. Let p(o) be the third derivative of -o**4\/6 - o**3\/3 - o**2. Let k be p(-3). What is the greatest common divisor of i and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-5) + 17\/(-85). What is the third derivative of -7*g**3 + 23*g**d - 6*g**2 - 5*g**3 wrt g?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.8 - -4.7. Let v = -9.987 + -0.013. What is the closest to a in v, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + 26.31.\nAnswer: 56.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 395949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 116*f - 112.\nAnswer: -4*(f + 1)*(f + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102134692*m**4 + 38866178*m**2.\nAnswer: -2451232608*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.64? (a) -0.4 (b) -15\/4 (c) 2\/29 (d) -0.1 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 3*i**2 + 2. Let x be d(3). Suppose -2*s + 34 = 5*f - 98, -x*f + 47 = -5*s. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m + 16 = 4*v, -3*v - 2*m + 12 = 0. Suppose v = -2*t + 10. Let c = t - 2. Solve 7 = -4*x - c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 365401 - 217359. Let a = 148062.0002 - n. Let q = 20 - a. Round q to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3865.6 - 3866. What is the third biggest value in -12, -2, f, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164*j*l**4*z + 8*j*l*z - l**4*z**2 + l**2*z - 9*z**2 - 2*z wrt l?\nAnswer: 3936*j*l*z - 24*l*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25 (b) -4\/3 (c) -1 (d) -328 (e) 2\/9 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 6. Let u = o + -3. Let t be (-6)\/21*1*u. Is t not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7a + 2?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 57547 + 0?\nAnswer: 57547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18819 is divided by 4241?\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 + 3*i**2 - 2*i**2)*(178 + 35 - i - i) to the form m*i**3 + a + x*i**2 + s*i and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 3)*(-4 + y + 4) + (-4 + 3 + 0)*(0*y - y - y) - y + y - 3*y in the form r*y + d and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 26. Let s(l) = l**3 - 8*l**2 + 8*l - 5. Let u be s(y). What is the closest to u in -0.3, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e (base 15) in base 10?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 340479666, 340479663, 340479660, 340479657?\n\"Answer: -3*j + 340479669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 - (-2 + (-1 - -3)). Let d be p\/2*14\/21. Let y be d + 2 + 6\/14. Is -1 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkjjxjv. What is prob of sequence hv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Let k be 1\/(-3) + (-126)\/(-54). Find the third derivative of k*b**2 + 10*b**2 + 23*b**2 + 29*b**4 + 5*b**4 wrt b.\nAnswer: 816*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2538768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1777*s + 2*g = 1781*s + 2, -s - 3*g = 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42\/19963 + 112651041\/79852. What is t in 51*t - l*t**4 + 6 + 87\/2*t**2 - 1701\/2*t**5 - 2247\/4*t**3 = 0?\nAnswer: -1, -1\/2, -2\/9, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2\/5 + 51*w\/5 - 46 = 0.\nAnswer: 5, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + j**2 - j + 3. Suppose -12*o + 15*o = 0. Let t be p(o). Solve t*n + 2*n = -25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = n - 11, -1578*n + 2821 = b - 1892*n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -131 - -664. Let x = b + -192. Calculate the greatest common factor of 31 and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -28, -26, -24, -22?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjsyljysrj. What is prob of sequence rl?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-6))\/(7\/(-42)). Suppose -c*t = t. Let l = -284 + 286. Solve q - 15 = -3*w + 4*q, w - l*q - 9 = t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -13, 15, -18, -85 in decreasing order.\nAnswer: 15, -1, -13, -18, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 - 3*s**2 + 3*s**2 + ((-2*s**2 - 2*s**2 + 3*s**2)*(-4 + 2 + 1) - 2*s**2 + 1 - 1)*(-29*s - 17*s - 17*s + (4*s - 2*s - s)*(5 + 0 - 4)).\nAnswer: 61*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - -20. Suppose -45 = -2*g - j, -3*j + 0 + c = 3*g. What is the least common multiple of g and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 3 + (3 - 2 + 2)*(2 - 2 - 2))*(56 + 6*f - 56)*(-4*f**3 + 0*f**3 + 2*f**3) to o*f**4 + h*f**3 + j + s*f + y*f**2 and give o.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 1\/1042, -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 50 + -61 + 3 + 12 + -26\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1333.\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, o: 6, q: 7}. Give prob of picking 1 o, 1 d, and 1 q.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 15 - 7)*(383 + 42*m - 383)*(3 - 3 - 2*m) - 2*m**2 + 2*m**2 - 3*m**2.\nAnswer: -2607*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - q + 1. Let b(d) = -4*d**2 + 2*d - 4. Let j = 4 - 1. Let m(k) = j*s(k) + b(k). Let p(o) be the first derivative of m(o). Determine p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-6))**42 assuming a is positive.\nAnswer: a**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/(-200))\/(66\/2970))\/(-1*(-1)\/12).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 176*m - 171*m, -3*h - 3*m + 20004 = 0. What is the thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8*q. Let c(i) = 4*i**2 - 3*i - 1. Let u be c(3). Let w = u + -23. Let s(f) = f - 2*f + w*f. Give b(s(a)).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 28, -5, 6.\nAnswer: -5, 1, 3, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -56. Suppose -5*z + 3*q + 424 = -347, 4*z - 618 = 3*q. Calculate the highest common divisor of z and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.7127 rounded to one decimal place?\nAnswer: -37.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 7. Let g be v(2). Suppose -g*b + 183 = -2*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -986889, -1973783, -2960679, -3947577, -4934477?\nAnswer: -5921379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106.5 + 107. Let y = -20 - -12. Let u(l) = l**2 + 7*l - 11. Let z be u(y). What is the nearest to -2\/5 in 2\/7, o, z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, -1\/3, -61, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 9:56 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 45\/4 of a millimeter?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + -26 + -4 + (2 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -13 + (-8352)\/(-580)*(1 + 4)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 18*g + 924 = 18*g - 12*g for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 3688*q - 424829. What is m(-119)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 73?\nAnswer: -4\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 12*l**2 + l. Suppose 2*u - 16 = -32. Let x be (-3 - (3 - 7) - u) + -1. Suppose s + 2*s + 19 = 4*t, -3*t = 4*s - x. What is k(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iici when four letters picked without replacement from {i: 5, c: 8}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -111111?\nAnswer: 111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 15 = -4*p + 13, z - 3*p + 6 = 0. Let v = -3733\/5 - -747. What is the nearest to -1 in z, -5\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b*c**3 - b*c**2 + 313118*b*c - 11319*c**3 - 4*c**2 - c wrt c.\nAnswer: 6*b*c - 2*b - 67914*c - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-22) - (-2184)\/154. Suppose -8*s = -m*s - 864. Let r = s - -164. Calculate the smallest common multiple of r and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 152 + 150 - 302. Let x(s) = 106*s. Determine j(x(o)).\nAnswer: 22472*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 + 49. Suppose 5*t - 69 = 2*a + 136, d = 2*a + 10. What is the remainder when 134 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8173611*u**4 - 2*u + 3568679.\nAnswer: -98083332*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35092 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/18 and 7 - (5 + (-81)\/60)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 5*z**4\/6 - 2*z**3\/3 - 3*z. Find the second derivative of g(c) wrt c.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - ((-2 - -2) + -3). Suppose 0 = m*y - 16 + 4. Let c = 60 + -59. Calculate the lowest common multiple of c and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02442347 to four decimal places.\nAnswer: -0.0244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -250*d**2 + 13*d + 23. Determine u(2).\nAnswer: -951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*t*u**3*x + 6*t*u**3 - t*u**2 - 3*t*u + u*x - u + 25*x + 4 wrt u?\nAnswer: -24*t*u*x + 36*t*u - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 56534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-136 + 1597 - 209 - 2*j)*(5*j**3 + 2*j**3 - 5*j**3).\nAnswer: -4*j**4 + 2504*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21112868 or 21112866?\nAnswer: 21112866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11338*d**2 - 1513*d**2 + 13464*d**2 + 7523*d**2 + 4426*d**2.\nAnswer: 35238*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**6\/180 - 2*c**3\/3 - 1. Let t(u) be the third derivative of y(u). Let q(i) = -i. Calculate t(q(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27446*r = 27451*r + c + 105, -3*r = -3*c + 63 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 16*k - 3. List the prime factors of r(7).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 567?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r - 12. Let o be t(5). Let u = o - 18. Calculate the remainder when -1 - (2 + 1*-11) is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*b - 3*b**2 + 86*b + 8*b**2 + 85*b - 74*b + 1.\nAnswer: 5*b**2 + 171*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2442 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.001 times 1918.8\nAnswer: -1.9188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -954338, -1908694, -2863050?\nAnswer: -3817406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 287 (base 9) in base 3?\nAnswer: 22221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1649 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2121001 (base 3) to base 8.\nAnswer: -3543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and ((-288)\/(-28))\/((-2)\/(-7))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**3 - 390*o**2 + 9765*o - 76880 = 0.\nAnswer: 16, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 17. Let u(c) be the third derivative of 0*c**4 + 0 - 1\/60*c**6 - 1\/60*c**5 + i*c**3 - 2*c**2 - 1\/210*c**7 + 0*c. Factor u(a).\nAnswer: -a**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6336 and 6144?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2. Let a(g) be the second derivative of -373*g**4\/6 + 2*g + 467. Give i(a(p)).\nAnswer: 1669548*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232361628 is divided by 634.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(72)*-2 - sqrt(72))*-1*6.\nAnswer: 468*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -10*p**3 - 12*p**2 + 11*p + 4. Let u(m) = 18*m**3 + 23*m**2 - 20*m - 7. Calculate -7*h(w) - 4*u(w).\nAnswer: -2*w**3 - 8*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(0 - -1))\/(-2). Let z = -27399 + 27399. Which is the third smallest value? (a) -23 (b) z (c) -0.1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 504 + -500. Suppose -4*p = 3*f + 4322249 + 2046731, -z*f + 5*p - 8492025 = 0. What is f rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*78\/208.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 5*h**2 - 3*h + 2. Let g(z) = z**2 + 93*z + 1227. Let r be g(-77). What is s(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 7:42 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 1. Let v(r) = 4*r - 5. Let k be (2\/(-3))\/(2\/(-9)). Suppose 2*d - k*d = 3. What is d*l(p) - v(p)?\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4808 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200810210 - 200810210 - 2*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 v, and 1 m when three letters picked without replacement from vkmmkmmvmmmkk.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -12*j**3 - 2. Let p(l) be the second derivative of -l**3\/6 + l**2\/2 - 2*l + 14. What is -n(z) - p(z)?\nAnswer: 12*z**3 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -133 and 2043361?\nAnswer: 2043494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66971586 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 13*v**5\/12 + v**4\/24 - 2*v**3\/3 - v**2. Let r be y(4). Round r to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**8\/84 - 22*p**7\/105 + 43*p**6\/30 - 73*p**5\/15 + 28*p**4\/3 - 32*p**3\/3 - 139*p**2 + p. Factor q(g).\nAnswer: 4*(g - 4)**2*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256 - -775.1.\nAnswer: 1031.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 5*z + 2 + 1\/3*z**3 + 5\/2*z**2. Is b(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d - 9*d = -116*d + 42*d + 4559 for d.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from {j: 1, z: 2, g: 2, k: 1, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -26*w**2 - 6*w + 4. What is c(1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (8 + -9)*(6 + -1). Solve -x*i + 16 = -6*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 + 28773*u.\nAnswer: 28773*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15.271474*0.5\nAnswer: -7.635737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, g: 3}. Give prob of sequence xxx.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 1. Let k be 45\/y + 1\/(-4). What is the third derivative of 2*g**6 - 2*g**3 + 2*g**k + 2*g**3 wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 213201301?\nAnswer: -213201301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 779355?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*h - 4*y - 460, 5*h - 1135 = 5*y. What is the remainder when h is divided by 3*(-3 - 34\/(-3))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*u + 267*u = -40. Solve 2*s - u*s = -10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/13 - 1\/559. Let b = z + 177\/946. Calculate the common denominator of b and -77\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 83755?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2718\/16991 + -8\/1307. Put -3\/2, 4, -1, k, -66 in decreasing order.\nAnswer: 4, k, -1, -3\/2, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -236, 1, -3, -2, -3805, 4 in decreasing order.\nAnswer: 4, 1, -2, -3, -236, -3805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-14)*y)*y)\/(y\/y**(-4))*(y\/y**(-1\/2))**(1\/24))**(-4) assuming y is positive.\nAnswer: y**(-161\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4300971 is divided by 215041.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001 (base 2) to base 3.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26545 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -1 + -23 + (-8 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1608 + 1603. Suppose w = -0*w. Sort -14, w, y.\nAnswer: -14, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 26, 60, 118, 206, 330, 496, 710?\nAnswer: 978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 392 and 308?\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 50.71\nAnswer: 55.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2023 + 2*t**2 + 2023.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/270)\/((-20)\/12)*(-9)\/(-94)\nAnswer: 1\/188","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17724259*r**5 - 2*r**2 - 12010152*r + 1 wrt r?\nAnswer: 1063455540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*p = -14, -4 = 2*a - 5*p - 3. Let c be (-2)\/((-2)\/2) - -36. Is (0 - a\/6)*c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d**3 + 6*d**2 - 5*d + 4. Let o(h) = h**2 - h + 1. Let z(w) = f(w) - 5*o(w). What is the units digit of z(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtxxt. What is prob of sequence xxx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 6*c**2 - 9*c - 10. Let m be d(-7). Let w be (-3 - -3) + m + 0. Solve 4*q + 0 = -w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88271562 is divided by 12610220.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1100144321 + -10?\nAnswer: 1100144311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000183725 rounded to 6 dps?\nAnswer: -0.000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.28 - -0.3. Let t = -32.6199995 - -32.64. Let o = k - t. Round o to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 21*z - 17*z + 4, 5*z + 6 = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 1:12 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-3))\/((-3)\/(-1287)). Suppose -11 = -2*l + p. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.38? (a) -20 (b) -289 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009495 rounded to 6 dps?\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1\/5, -1, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 10 - 0. Suppose f*w - a - 40 = 0, 4*a = -4*w + w + 47. Suppose -o = -3*j - w, 3*j + 5*o = o + 6. Is j >= -11\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - 20 - (3 + 13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -313*l + 160*l**2 - 159*l**2 - 88 + 314*l - 1 - l**2 + 1 + (l - 2*l + 3*l)*(3*l + 0*l - 2*l) to the form y*l + f*l**2 + c and give c.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**4 - r**3 - r**2 + r + 1. Let h(x) = 9*x**4 - 5*x**3 + 5*x + 5. Let y(d) = -15*a(d) + 3*h(d). Find the third derivative of y(l) wrt l.\nAnswer: 288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) + sqrt(78)*-1 + sqrt(78))*-4*2)\/((sqrt(864) - sqrt(864)*-1)*6))**2.\nAnswer: 13\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82*j**5 + 12224*j**4 + 2*j**3 + 365589*j**2 wrt j?\nAnswer: -4920*j**2 + 293376*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*w = 76*w - 139*w + 240 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 10*i + 40. Let j be u(9). What is the second derivative of -j*o**2 + 10*o - 36*o**2 + 18*o**2 + 3 + 6*o wrt o?\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g - g)*(-2*g - g + 2*g)*(-24*g - 24*g + 53*g).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -3\/8168 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 717441 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6021729mm to meters.\nAnswer: 0.0006021729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-21) + -24 + (-22033)\/(-924).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14284*l - 14464*l = -1260 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**3\/4 + 67*k**2\/4 + 281*k\/4 + 213\/4 = 0?\nAnswer: -3, -1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**2 + 30. Let c(h) = -9*h. Give c(d(p)).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1068, 4533, 10432, 18771, 29556, 42793?\n\"Answer: b**3 + 1211*b**2 - 175*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*c - 19*c + 609 = 20*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85522147 a multiple of 5279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**6\/120 - 3*l**5\/20 + 11*l**3\/6 - 4*l**2. List the prime factors of b(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25349 divided by 2.\nAnswer: -25349\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 164 + 20 = 0. Suppose h*r = 15*r. Suppose r*n + 9*n - 189 = 0. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjz when three letters picked without replacement from {k: 1, c: 1, j: 4, z: 4, w: 1}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19782, -39572, -59362, -79152?\nAnswer: -98942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.5 + 4.8. What is the nearest to 0.2 in n, 3, 3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -322, 8\/7, 86.5, 4?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 36*x**3 + 197*x**2 + 377*x - 8. Determine k(-2).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/27 of a day?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56302310?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58092704?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -277.25 - 6.75. Let d = -283.793 - b. What is d rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 475 - 15 = 0. Suppose 2 = 4*h - 2*d - i, -d + 58 = h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6439138 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 5, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**3\/3 + 3*t**2\/2 + 5*t + 23. Give a(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*u - 159*u + 31*u + 26*u + 66*u + 9*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + v - 2*v = 9, 12 = i - 2*v. Let c be (-6)\/(-4) + (-1)\/i. Let w = c - -46. What is the remainder when w is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvnvnnv. Give prob of sequence vnn.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 3*k + 4. Let s be w(-3). Let h be ((-15)\/6)\/((-2)\/s). Find the second derivative of -j**3 - 5*j + j + h*j + 2*j wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -950, -1047, -1144?\n\"Answer: -97*a - 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.6. Let l = -6\/37 - 8\/407. What is the smallest value in l, h, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008254621 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*-1)**2 + -1*sqrt(475).\nAnswer: -5*sqrt(19) + 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 15 = -3*u. Suppose 2*p + 3*x - 108 = -p, u*x - 15 = 0. Suppose 0 = 5*r - 4*m - p, 2*r = -5*m + 9 + 10. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59164 is divided by 3284.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 960582 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49569 and 1558?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r**2 + 2*r + r**3 + 0*r**2 + 1 + 6. Suppose -4*m = -4*f + 24, -3*f + 26 = 4*m - 20. Calculate the remainder when h(7) is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*f**3 - f - 5*f**3 + 19*f**3 - 10*f**3.\nAnswer: 41*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 41 - -17 - (5 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2)\/k)\/((k\/k**(-4\/5))\/k*k))**(-9\/2) assuming k is positive.\nAnswer: k**(207\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p - 6*p**2 - 5 + 5 + 4*p**2. Let i(f) = -3*f**2 + 4*f. What is 3*i(g) - 4*u(g)?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - s**2 - s + 257. Let j = 0 - 0. Is n(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*s - 57325 = 0, -95517 = -5*r + 8*s - 12*s. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -38699879 and 62182.\nAnswer: -38637697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/((-221)\/39))\/(6\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, g: 16}. What is prob of sequence geg?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153 - 153 - 19*w**3)*(7 + 3 - 5).\nAnswer: -95*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h. Let d(n) = 9*n + 1. Let w(b) = 28*b + 11. Let u(x) = 24*d(x) - 3*w(x). Determine u(c(r)).\nAnswer: 132*r - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9702 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 13*m - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 366 + -366. Suppose g = 5*g - k*g. Solve -3*w - 17 = -2*s, g = -w + s - 4 - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/16)\/(6\/(-60))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 310, 646, 982, 1318, 1654?\nAnswer: 1990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/161891465 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 32152845 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Round 1134.9 to the nearest ten.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1870\/55*217\/62\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m + 39*m - 4*x = 44680, 4*m = -5*x + 44635. Is 77 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l + 11. Let n(s) = s - 12. Let a be n(6). What are the prime factors of b(a)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, t: 13, d: 2, i: 3}. What is prob of sequence oi?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 3*s = -105. Let t = 29 - s. Solve 5*q - 2*l + l + 24 = 0, -q + l - t = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346836 is divided by 232.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*r + 52*r + 2772 = 0. Calculate the remainder when r is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 320 = 5*z, 2*z = -z - 2*m + 190. Suppose z = j - 0*j. Suppose -j = -3*g - g. Is g 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 2776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 402 - -15633?\nAnswer: 16235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + (sqrt(30) - sqrt(1080)) + sqrt(30))*4 - 6*sqrt(120))\/((3*2*sqrt(40) + sqrt(40))*-3).\nAnswer: 4*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 + 29*v**2 - 16*v + 23. Let m be i(14). What is the units digit of (-5)\/((m\/293)\/5) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 905*t**4\/4 + 1243*t**3\/3 - 651*t. What is the second derivative of v(f) wrt f?\nAnswer: 5430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001018457 rounded to six decimal places?\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/2 + 4*x**4 - x**3\/2 - 34*x**2 - 42*x.\nAnswer: x*(x - 3)*(x + 2)**2*(x + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 5*a**2 + 2*a + 6. Let h be g(6). Suppose -o - h = -3*o. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36441577.\nAnswer: 2357, 15461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 3*p**2 + 0)*(-p + 0*p - p) + 0*p**3 + p**3 + p**3)*(7*p + 0*p - p) to m*p**3 + r + h*p**2 + i*p + c*p**4 and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29381, 6499, 66299, 150019, 257659, 389219, 544699?\n\"Answer: 11960*z**2 - 41341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/11 - 6*m**4\/11 + 18*m**3\/11 - 10*m**2\/11 = 0. Calculate m.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 12*y - 310. What is g(25)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**2 - 5*c**2 + 17*c**2 + 4*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -28) + -35 + 22.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 - 8*u**2 + 126675*u**3 + 8*u**2 + 2*u**4 - 126676*u**3 + 5 - 4*u in the form c*u**4 + r*u + y*u**3 + p + k*u**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 54 - 3. Suppose 0 = 2*s - 0*s + 5*v + z, 27 = 3*s - 3*v. Suppose -6 = -2*g - 2, -t + 45 = s*g. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 50. Let v = -142 - -170. What is the remainder when v is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161519 divided by 3?\nAnswer: 387173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -20\/47, 4213\/4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1624 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -219312*k**4 + 2*k**3 + k**2 - 183342*k + 1.\nAnswer: -2631744*k**2 + 12*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*v = 4, -2*v - 29 - 3 = -2*d. Factor d*b**2 + 3*b**3 + 12*b - 566 + 566.\nAnswer: 3*b*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.62735 micrometers to millimeters.\nAnswer: 0.01762735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**2 + 2. Calculate the remainder when 1424 is divided by n(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 2*i + 2*i)*(-2 + 5 - 5) + 13017*i - 6331*i + 11837*i to the form k*i + h and give k.\nAnswer: 18521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.608, 68\/9, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*j - j, 2*j - 14 = 5*x. Suppose n = j*n. Suppose 2*u + 0*u - 4 = n. Sort 0.4, 1\/2, u.\nAnswer: 0.4, 1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17ea37 (base 15) to base 12\nAnswer: 48125a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - c = -1, -2*p = -5*c - 0*c + 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/6 of a minute in seconds?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -23*k + 2. Let g be p(-1). Suppose 0 = -285*y + 279*y + 1200. Calculate the greatest common divisor of g and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-30)*6*-3*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -44 + 4*o + 63 - 11 + o**2. Let k(f) = f + 1. Give -4*k(l) + v(l).\nAnswer: l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w**2\/7 + 6892*w\/7 + 530\/7 = 0 for w.\nAnswer: -265, -1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 996*i - 4*r + 116 = 992*i, 2*i + 50 = -2*r for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/1909 and -45\/361468.\nAnswer: 30001844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -4557648.\nAnswer: 1\/2278824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -3, 4, 0, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 344575 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = c - w + 1, -8 = 2*w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w - 11. Let b(r) = 5*r - 11. Let m(v) = 5*b(v) - 4*c(v). What is m(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28, 30, 30, 28, 24, 18, 10?\n\"Answer: -f**2 + 5*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2840)\/426*195\/(-50)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 70348, 73098, 75848, 78598, 81348, 84098?\n\"Answer: 2750*t + 67598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -329.\nAnswer: -328.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, u: 1, a: 2, b: 1, d: 2, n: 1}. Give prob of sequence un.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9538111487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2134360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8369.62ml in litres?\nAnswer: 8.36962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2698 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 7*g + 33. Let q be z(7). Let r = q - -326. List the prime factors of r.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g + 5*l + 9, -2*g - 2*l - 18 = 0. Let j(s) be the third derivative of s**5\/60 + 7*s**4\/24 + s**3\/2 - 10*s**2. What is j(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 10:10 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -0.08 (c) -0.23 (d) 172\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2 - 12*f + 3. Let y be g(6). Suppose 6 = -3*h - y. Let q(k) = k**3 + 15*k**2 - 2*k - 26. Calculate the remainder when 6 is divided by q(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -33.\nAnswer: 9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 29*t + 0 - 1\/2*t**3 + 0*t**2. Let b(o) = -3*o**2. Calculate b(v(h)).\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 211*z + 177. Is o(116) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 2*d - 4 + 2 = 0, 3*u + 2*d - 2 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/14)\/(10\/8*(-1272)\/(-3339)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262770.\nAnswer: 2, 3, 5, 19, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1874302 (base 10) to base 8\nAnswer: -7114576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14537, 29050, 43563?\nAnswer: 58076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13456 divided by 6728.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3587 is divided by 204?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -l + 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4 - (-1)\/(2\/112)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 220*f**3 - 223*f**3 + f + 382 - 8*f with respect to f.\nAnswer: -9*f**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -18*g + 97. Sort g, -33, 5 in decreasing order.\nAnswer: g, 5, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 3. Let i be l(4). Let n = i + 2. Let g = 6 - n. What is the lowest common multiple of 9 and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158*x**4 - x**2 - 15*x - 1 wrt x.\nAnswer: 1896*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 104266*x**2 + 2190468*x.\nAnswer: -2*x*(x - 52154)*(x + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 733 - 673. Calculate the greatest common factor of 270 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4638138 is divided by 59.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -3*o + 4, 4*a + 83 - 81 = -2*o - o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*n = -3*h - 6, 6 = 3*n. Let x be (22 - -9)*(-2)\/h*-2. List the prime factors of ((31\/(-2))\/1)\/(x\/310).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 + 779340*p**3 - 7014222*p**2.\nAnswer: 2*p**2*(p - 9)*(p + 389679)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69580 and 99008?\nAnswer: 246034880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -480 - -480. Solve g + w*g = 4, 5*x + 28 = 2*g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5848 and 3073296?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 12 + 48 = 0. Let z be (-114)\/(-8) + (-3)\/k. Suppose -2*b + z = -16. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 751 = -3*h, -4*x = -2*h + 997 - 247. Does 47 divide 34\/x - (-5326)\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125*h + 202*h + 76*h + 34*h)*(-2*h**4 + 7*h**4 + 0*h**4).\nAnswer: 2185*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3413344 grams in tonnes?\nAnswer: 0.0000003413344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*25\/(-5400)*(-4)\/56*1?\nAnswer: -1\/168","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 13*h**3 - 5*h**2 - 7*h - 19. Let g(r) = -6*r**3 + 3*r**2 + 3*r + 9. Let m(f) = -4*b(f) - 9*g(f). What is the units digit of m(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-203)\/5684)\/(1\/60)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 22525776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000357699 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - 2. Suppose -3 = -3*d - 9. Let v(o) = o**2. Give d*v(y) + u(y).\nAnswer: y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 - (-8 + -1 + 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-15))\/((4\/6)\/(32\/(-80))). What is the nearest to t in 0.4, 89, 98?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -107*(2 - (4 - 3)). Let d = w - -129. What is the greatest common divisor of 22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 283125?\nAnswer: 198187.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeenexoeen. Give prob of picking 1 a and 1 e.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 7*w - 11*w, -k + 5 = 3*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 b, 1 f, and 1 o when four letters picked without replacement from {o: 6, b: 1, l: 2, p: 9, f: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8895*h**3*j**4 + 230*h**3*j**2 - 44*h**3*j - 2*h**3 - 31*h**2*j**5 + 19*h**2*j + 1 wrt j?\nAnswer: 213480*h**3*j - 1860*h**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-18 - 8*d + 18).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 371*k**3 + k - 2. What is the units digit of d(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 6\/(54\/(-21))*(-68 + 2)?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.554 - 0.446. Which is smaller: 22 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(64)\/sqrt(8)) - 2*(sqrt(19) - 3*sqrt(19)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -x - 5*t, 76*x = 78*x + 3*t + 2 + 11 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*u - 150. Find the common denominator of u\/(-28) + (4 - 3) and (1\/24)\/(2\/279).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287, 587, 899, 1229, 1583, 1967, 2387?\nAnswer: 2849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2386 = 20*r + 11774. Let g = r + 1625. What are the prime factors of g?\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106611 (base 7) in base 2?\nAnswer: 100101011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 1:04 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -2, -20, 42, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - ((sqrt(2)*2 - sqrt(2)) + -3) - (sqrt(98) - (sqrt(98) + 0)) - sqrt(22)\/(sqrt(77)\/(sqrt(21)\/sqrt(3))))**2.\nAnswer: -6*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + (1 + (-3 + sqrt(208) + sqrt(208) + -1 + sqrt(208) - sqrt(208)) + sqrt(208)*-1 + -2)**2.\nAnswer: -40*sqrt(13) + 231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f + 52. Let v be c(-7). Find the third derivative of 72*w**2 + 83*w**2 - w**4 + 6166*w**v + 0*w**4 - 6076*w**3 wrt w.\nAnswer: -24*w + 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/25, 0.093, 2\/13, 5, 2\/105 in ascending order.\nAnswer: 2\/105, 1\/25, 0.093, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 9. Let x = 2.5 - g. Let d = -7 + 22\/3. Which is the nearest to 2\/5? (a) d (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 5*u + 675. Let n = -232 + u. Let m(d) = -d**3 - 6*d**2 + 10*d + 9. Determine m(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j. Let c(x) be the third derivative of -3*x**5\/10 + 83*x**3\/6 + 3*x**2 + 91. Determine k(c(g)).\nAnswer: -18*g**2 + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 126 - 366 = -4*a, 4*a = 16. Let f be (-216)\/(-14) - 51\/l. Calculate the greatest common divisor of 2 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 37190.23 millennia?\nAnswer: 371902.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002707 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -4)\/(-6) + 3 + (-253)\/22?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/63, 0.04, -22, 0.03 in increasing order.\nAnswer: -22, -2\/63, 0.03, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 x when three letters picked without replacement from {o: 5, x: 5, t: 5, f: 5}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1904894900.\nAnswer: 2, 5, 109, 174761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in -4, 6\/5, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3315 and 8190?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2991 and 6252?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 38\/1*19\/((-1482)\/(-39))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146 - -55. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -f - 7 - 12, 799*h = -27*f + 798*h + 47 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -57, -383, -1271, -3003, -5861, -10127, -16083?\n\"Answer: -47*b**3 + b**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -3*n - 55, -58067 = 5*u - 4*n - 58139 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 8*t - 2. Let x be p(-7). Let c = 12 - x. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -30113783.\nAnswer: -240910264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -25574*z**3 + 3*z**2 - 54*z - 55. What is the tens digit of k(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (3 - -4) - (1 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -o + 37, 5*m - 2*m + o - 27 = 0. What is the least common multiple of m and 1 - (-1 + 0 + -18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 8:59 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 4 - -21)*2. Let i = -5938 + 5958. What is the greatest common factor of n and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 11725 = -11813 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 876133338 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(192)*2)**2 + 0 + sqrt(192)*2 + 1.\nAnswer: 16*sqrt(3) + 771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6826642 + -600.\nAnswer: 6826042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 495238366*f**2 - 636877802?\nAnswer: 990476732*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.010009 * 3.155.\nAnswer: -0.031578395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2868?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1966)\/200 - (240\/125 + -2). Which is the second biggest value? (a) 0 (b) g (c) -1\/2 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 0, 5*h - 15*h - 45 = 9*y - 2*h - 3*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32694 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 66497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(-8)\/400*4*(-5)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**8\/672 - x**6\/120 + x**4\/48 + 6*x**2 + 2*x. Solve h(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g = -22*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -16, 16*o - 14*o + 2*s - 18 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/18 - 0\/4. Suppose 0*v + 2*h = -5*v - 20, -4*h = 3*v + 26. Which is smaller: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 37*v + 229. Determine a(13).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/345708 and -65\/9910296?\nAnswer: 29730888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110 (base 2) in base 6?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**2 + 1. Let y(r) = -4*r**2 - 1. Let q = 3102 + -3107. Give q*y(u) - 6*g(u).\nAnswer: -4*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1491*l + 406 = 1463*l + 1106 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by (-1 - -11) + (-6 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*o, -58 = -3*h + 2*o - o. Let j = 1923 + -1904. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5188335 = -2*c + 4*c, p - 1 = 0. Let k = 9834170 - c. What is k rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/3)*k)\/k*k\/(k**(1\/3)\/k))\/(k**(-3))**31 assuming k is positive.\nAnswer: k**94","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58*b**3 + 52*b**2 + 128*b.\nAnswer: -2*b*(b - 2)*(29*b + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5544*g**4 - 34*g**3 + 5*g**2 + 3495*g + 744 wrt g?\nAnswer: -66528*g**2 - 204*g + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*j + 2*j. Suppose x = j*x. Suppose -5 = n, -g - 2*g - n + 61 = x. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.5996 and -1?\nAnswer: -2.5996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**2 - 7193*y - 363203. Calculate s(-52).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 > -16833\/418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/544 and 85\/2104.\nAnswer: 143072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/280 and 49\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 5*c**2 + 3*c - 27. Let h be l(5). Which is smaller: -9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 506, 3739, 12516, 29609, 57790, 99831?\n\"Answer: 462*g**3 - g + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -9407 (c) 0 (d) -1\/3 (e) 0.047 (f) 1 (g) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2949, -2654, -2161, -1470?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/30 + (-1)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b4628 + -66?\nAnswer: 1b45b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c - 432 = 18*c - 5*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000113517 to seven decimal places.\nAnswer: -0.0001135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - g**2 + 36*g + 74. Give i(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 1310*j**2 + 123646*j + 3005218.\nAnswer: 2*(j + 41)*(j + 67)*(j + 547)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from iidpiidp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23196451 a multiple of 816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/50708 and 49\/79684?\nAnswer: 557788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -807*k + 799*k. Suppose 0 = 3*t + 5*l - 21 - 89, 0 = -4*t + 2*l + 112. What is the remainder when t is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1125 - 1131. What is the second biggest value in 11, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**4 - 6*l**2 - 8*l - 8. Factor w(p).\nAnswer: 4*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53864, -215483, -484864, -862007?\nAnswer: -1346912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -325105 or -325111?\nAnswer: -325105","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -173 + 344 - 171 - 3*i**2 + i. Calculate a(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/25350 and -113\/269100.\nAnswer: 3498300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040639358 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + r - 5 = 3*q, 0 = 2*q + r - 5. Suppose -3*p + 2*p - 30 = q. Let l = 55 + p. What is the highest common factor of 10 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*2.94\nAnswer: -0.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.903 rounded to 1 dp?\nAnswer: 12.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 440996226 to the power of 1\/2, to the nearest integer?\nAnswer: 21000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + u = 240843, -183*u + 188*u - 5 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 554401, 1108751, 1663111, 2217487, 2771885, 3326311, 3880771, 4435271?\nAnswer: 4989817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (9\/(-6))\/(27\/(-630))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 10*w = 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 8:24 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w, 0 = 4*z - 2*z + 3*w - 16. Suppose -16 = -3*t + z. Let p be (-18)\/5*(-30)\/9. Solve 0 = -4*h + p + t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 + 7*r**2 - 4*r + 8. Let u be s(3). Solve -7*q = u*q + 48 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15308 + -168390\/11. Which is the fifth biggest value? (a) v (b) -2\/9 (c) -0.2 (d) 1\/4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g*g**(1\/3)))\/(g*g*g\/(g\/(g\/g**(-1\/13)))*g))\/(g**(-3)*g**(-14)*g*g))**(1\/9) assuming g is positive.\nAnswer: g**(374\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 738 and 81303?\nAnswer: 487818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - sqrt(54)\/sqrt(324))\/(sqrt(3) + -3*sqrt(243) + sqrt(3)).\nAnswer: -sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 201.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -419.9713*-0.5\nAnswer: 209.98565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 233172 and 155052?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 546437 and 1209.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/6))**(-50)\/(y**(-6)*y\/((y**(2\/7)\/y)\/y)) assuming y is positive.\nAnswer: y**(-106\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 114.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 850794 is divided by 283594.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: (1\/6)\/((-3)\/(-36))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17620011 (base 10) to base 12.\nAnswer: 5a98923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 0 - (-6 - -4). Let q(h) = 6*h - 1 - h + 2 - g*h. Let f(u) = u**2 + 6*u - 5. Let x be f(-6). What is q(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 22, 0, -7, 5 in ascending order.\nAnswer: -7, -3, 0, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 - 4*k + 4*k + (-2*k**5 + 4*k**5 - 3*k**5)*(-3 + 6 + 0 + (0 - 3 + 2)*(-1 + 4 - 2)).\nAnswer: -k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, g: 5, y: 4, f: 4}. Give prob of sequence pf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3541 a factor of 135581349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 - 6*g - 14. Suppose 2*a - 153 = -123. Suppose -a*h + 14*h - 17 = 0. Let s(u) = -u**2 + 2*u + 5. Determine h*s(f) - 6*w(f).\nAnswer: 5*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 279\/6 + 18\/36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 881 - 3?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -209 - -207. Let o(d) = -2*d + 1. Give o(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 96.2 and -5.\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 4\/9 (c) 1\/4 (d) -589\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2294, 2825, 3360, 3899, 4442, 4989?\n\"Answer: 2*s**2 + 525*s + 1767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1312 times 1?\nAnswer: 0.1312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 11586*n + 717909.\nAnswer: -3*(n - 3923)*(n + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 41707?\nAnswer: 41712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.436 + 0.056. Let l = 2.5 - n. Let k = l - 2.622. What is k rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**23*h**(2\/55))\/(h**(-3)\/h**(2\/5)) assuming h is positive.\nAnswer: h**(1454\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s - 6*s**4 - 3*s**3 + 0*s - 2*s**2 + 2*s to the form l*s**4 + j*s + r + b*s**2 + d*s**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -116*o**2 - 95*o - 4. Let x(p) = -463*p**2 - 380*p - 18. Let b(v) = 9*n(v) - 2*x(v). Find the second derivative of b(l) wrt l.\nAnswer: -236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 88\/16 + (-3)\/(-6) + -4. Solve -r*q + 3*f - 14 = 3*q, -2*q = -4*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 + 8*j - 40 + 25)*(-1 + 2*j + 1)*(0*j**2 + 0*j**2 - 2*j**2) to i + c*j + m*j**3 + p*j**4 + b*j**2 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -797 + 818. Solve 0 = 3*r + 5*b - 10, 4*b = -1 + u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -311 - -308. What is the closest to -2\/3 in -1, f, 1\/3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1583 times -1\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**8\/2880 + 2*t**5\/15 - 11*t**2. Let k(v) be the third derivative of p(v). Let o(m) = 2*m. Calculate k(o(n)).\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105*n**2 - 57*n**2 + 3*n**4 + 99*n**2 - 2*n**4 wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = n - 80, -41*n + 22*a = -42*n - 32*a + 80 for n.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 44.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13505 (base 7) to base 15.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 2)\/(-6 + 2 + 6). Let l(h) = h**3 - 5*h + 8. Let x be l(w). Solve 11 = -p + x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7461, -14931, -22399, -29865, -37329, -44791?\nAnswer: -52251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6390027 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/10*(-15)\/(-6). Suppose -5*j - 4*z = 11, -j - 2 = h*z - 1. Let v be -2 + 1 - j\/2. Sort -4, v, -2.\nAnswer: -4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbm when three letters picked without replacement from {h: 2, g: 6, m: 3, b: 4, o: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -51. Let k be 6 - -3 - (-1)\/(-1). Calculate the greatest common divisor of f and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7 - 9 + 2*t**2 + 2*t)*(0 + 0 - 2*t**2).\nAnswer: -4*t**4 - 4*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*w - 188. Let c be ((-60)\/35)\/(4\/(-14)) + -1. Suppose 0 = c*h + 183 - w. Does 16 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from zffffncfzzfzffc.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89\/138 + 1\/46. Let j = -2.56 - -0.06. Let u = j - -2. What is the nearest to z in -2, u, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 22*b - 12. Let x = 116 - 107. Let w be g(x). Suppose -633 = -4*q - w. What is the greatest common factor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1248 and 9192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 744.41 years to centuries.\nAnswer: 7.4441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 1. Let s be n(-4). Suppose 3*h + h = -2*p, -4*h = -s*p. Solve -2\/9*v**2 + 2\/9*v + p = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z - 16*z + 13 = -57 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-12) + 602\/(-258)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from {f: 3, w: 11, s: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2352784*r**2 - 2*r - 1146564 with respect to r.\nAnswer: -4705568*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 25*h + 46. Suppose k + 3*k + 4*z = 544, 0 = k - 3*z - 120. What is the remainder when k is divided by c(0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*y**2 + 0*y + 3*y - 3*y in the form q*y + v*y**2 + k and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 5:05 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 13 - 5 = 2*v, 2*b + 2*v = 10. Let o be (-437)\/(-92) - (-1)\/b. Suppose l - 4*q - 132 = 0, -4*l - l + 535 = o*q. 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: Let o = 0 + 13. Let n = 7 + o. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1178 and -2?\nAnswer: -2356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/4 + -3)\/(-3). Let y be (-10160)\/(-42) - (-2)\/(-6). Let z = -242 + y. What is the closest to m in -1\/5, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*c + 23 + 131 = 0, 3*j - 4*c = 226. What is the remainder when j is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 416767 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.0948 to the nearest integer.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((88\/(-32))\/(-11))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 0*h - 11\/3*h**3 + 0*h**2 - 1. Let u(r) = r. Calculate d(u(i)).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -14*g - 3. Let v be h(-2). What is the second derivative of -7*q + 28*q**4 - 5*q - v*q - 2*q wrt q?\nAnswer: 336*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (sqrt(130) - (sqrt(130) - (2*sqrt(130)*3 + sqrt(130)))) - sqrt(130) - sqrt(130)*-3*-3)\/(sqrt(500)\/sqrt(2) - -1*sqrt(90)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 12294, 1 in decreasing order.\nAnswer: 12294, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -11522\nAnswer: -3\/11522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(24))\/sqrt(8) + sqrt(3) - 3*(sqrt(3) - sqrt(3)*3) - (sqrt(432)*-1 - sqrt(84)\/sqrt(7)))**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 12*k**2 - 12*k + 134. Determine j(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -726 and -0.03211647.\nAnswer: -726.03211647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15706*b**2 + 280921*b - 280921*b.\nAnswer: 15706*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29942314501\/342 + -87550716. Let d be (112\/228)\/(4\/786). Let v = x + d. What is the common denominator of v and -69\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1586 + -4757\/3. Is y greater than or equal to 0.52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 54, 128, 240, 402, 626, 924?\nAnswer: 1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 2*g**2 + 12. Let t(x) = 6*x**3 - 11*x**2 - 60. Let j(w) = -2*t(w) - 11*u(w). Find the first derivative of j(s) wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Let v be 11 - 13 - 3*-2. Put w, v, -1, 5 in increasing order.\nAnswer: -1, w, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 842 (b) -2\/115 (c) 13 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1646968 and 6200?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/10680 and 115\/6.\nAnswer: 10680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/12, 0.4, -0.4, 7, -9, -0.01?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 + 38*q - 1511. Let v(h) = -20*h - 9. Calculate the remainder when v(-7) is divided by g(-25).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 141*r**2 - 8*r + 30. Let o(t) = -t**2. Calculate q(o(s)).\nAnswer: 141*s**4 + 8*s**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 2. Suppose -4*k - 795 = -799. Calculate z(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, r: 7}. What is prob of picking 1 w and 1 r?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g - 28*g = -8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/(-147)*((-3)\/(60\/2))\/(-2)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*p - 15. Suppose -7 = 5*u + 3*k, k = -p*u + 3*k - 10. Which is the second smallest value? (a) 0.1 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 2697744\nAnswer: -1\/337218","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2859804995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: c6 (base 13) to base 11\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1377290*f**2 + 59833*f - 4 wrt f.\nAnswer: -2754580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**3 - 4*n**3 - 2*n**5)*(0 + 3 + 0) + 5028*n**5 - 1280*n**5 + 2596*n**5.\nAnswer: 6338*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 z, and 1 t when three letters picked without replacement from {h: 1, f: 2, m: 1, t: 1, p: 1, z: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -65*x**4\/4 - 127*x**3\/6 + 263*x**2\/4 - 3*x - 2067. Find u such that i(u) = 0.\nAnswer: -2, 3\/130, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -v + 5*v. Let n(f) be the first derivative of 2*f**2 - 5*f - 4 + 1\/4*f**4 + 2*f**v. Determine n(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1106.91 greater than -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8570 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 516722 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10874743000 rounded to the nearest 1000000?\nAnswer: -10875000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = 8*y + 28. Which is the closest to -1? (a) y (b) -2\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47 and 22441.37?\nAnswer: 1054744.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14652 - -15015. Let x = 44 + -8. Let d = -3 + x. What is the greatest common factor of m and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77 - -10227. Let q be b\/30 + 2\/(-6). What is the highest common factor of 26 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j + 5. Let h(v) = 1. Give 4*h(g) - r(g).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from tdtjjtjdpjded.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(120)\/(-3*sqrt(12))).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -269032837 and -81.54.\nAnswer: -269032918.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlqtlltwdl. What is prob of picking 1 q, 1 l, and 1 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -15. Suppose -d - 3*d - 418 = 2*b, 0 = -5*d - 5*b - 520. Is d\/(-20)*p\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -3, -15\/8, 2\/17, -362?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*v = -49*v + 5*u + 64951, 5*v + 5*u = 108225. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 89c247 + -6?\nAnswer: 89c241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 2)\/(-3)*-3. Let r = v + 0. Suppose -4*m + 10 = -r*m. Calculate the smallest common multiple of m and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -368 divided by 23\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 3976?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 0 - 1\/12*f**5 + 0*f + 11\/6*f**3 - 10*f**2 + 0*f**4. Let n(g) = -g**2. Give n(b(y)).\nAnswer: -25*y**4 + 110*y**2 - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(125))*1.\nAnswer: 1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 10 = 4*u - 6, -u - 14 = 5*f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 256\/(-8704)*-1*4*1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 105, 21 in increasing order.\nAnswer: 2, 4, 21, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.088, 2\/21, -3, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = t + 2*t + 294, -2*d = -3*t - 114. Let w(s) = 133*s. Let x be w(-2). Let l be (-28)\/154 - x\/11. Calculate the highest common factor of l and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92097 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 18. Calculate n(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349096 is divided by 992.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3\/9 + 511852*a**2\/9 - 16371201824*a\/9 - 212912135488\/9.\nAnswer: -4*(a - 63988)**2*(a + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -319 (base 14) in base 13?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-135)\/(-20)*-1*8\/3. Let h = x - -31. Calculate the highest common divisor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66149 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 131 = 4*a + 123, -60 = -5*a + 5*i for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k = 43*k + 56*k - 1460 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**3 + 16*c**2 + 30*c - 106. Give o(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, c: 2, j: 1, w: 4}. Give prob of sequence dcj.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - g)*(44*g**2 - 402*g + 402*g) - 2*g**3 - g + g + (-3*g**2 + 3*g**2 + 2*g**2)*(2*g + 1 - 1) + 3*g - 3*g + g**3 + g**3 + 0*g + 0*g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153, -743, 6 in descending order.\nAnswer: 6, -153, -743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n. Let q(m) = -3*m**2 - 5 - 4 - 2 + 10*m**2. Let b(x) = 2*x**2 - 4. Let t(p) = 11*b(p) - 4*q(p). Give t(v(z)).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k - 5. Let d be h(3). Let v = 17 - d. Solve 4*o - 22 + 5 = -s, -2*o + v = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 464, 468, 478, 500, 540, 604, 698?\n\"Answer: i**3 - 3*i**2 + 6*i + 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/177174 and -29\/24?\nAnswer: 708696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c - 6 + 6)*(52*c**3 + 28*c**3 - 6*c**3) in the form m + p*c**2 + q*c**3 + t*c + n*c**4 and give n.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4 - 6. Let r be 3 - (-3 + (x - 1)). Put r, 1\/4, 0.04 in descending order.\nAnswer: r, 1\/4, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91111 - 16228.\nAnswer: -107339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 7*n + 4. Let l be k(6). Let r = -8 - -5. Let z be ((-25)\/r)\/((-2)\/(-6)). Solve 0 = 2*f - l, x = 3*x + 5*f - z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5723814131 + 5723814100.00000107. Let t = -31 - d. What is t rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w = -909. Let g be 2 - 16\/2*23. Let y = g + w. Calculate the greatest common factor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73242.\nAnswer: 2, 3, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-10))\/(-4) + -16 + (-2336)\/(-120)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 122, 204, 306, 440, 618, 852, 1154?\n\"Answer: 2*l**3 - 2*l**2 + 74*l + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q**5 + 2*q**5 + 0*q**5)*(-2 + 0 + 3) + (-2*q**2 + 2*q**3 + 2*q**2)*(-4*q**2 + 2*q**2 - q**2).\nAnswer: -11*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 5. What is n(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71106 = -37*g + 71143 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1714 - -0.0286. Which is the nearest to 1? (a) -1\/4 (b) x (c) 23 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*p**2 - 239*p**2 + 88*p**2.\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/6)*(u\/u**(-4))\/u*u)\/(u**(-5\/4)*u*(u**(-7)\/u)\/u))\/((u**1\/(u*(u\/(u**1\/u))\/u*u))\/(u\/(u*u**(-2\/5)))**(-13\/2)) assuming u is positive.\nAnswer: u**(769\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.06 + 4.16. Which is the fourth biggest value? (a) -0.2 (b) -15 (c) m (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 101\/9. Let i = -1.5 - 0. Let d = -1 - i. Which is the second biggest value? (a) q (b) d (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9920 and 304.\nAnswer: 188480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*r + 24, -r = -3*j + r + 14. Suppose 3*g = -5*y - 11, -g = 4*g + 3*y - 3. Solve -g = p + u, -3*p - j = u + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 - 13*l + 26. Let q(j) = j**2 + j. Let m(v) = -h(v) - 3*q(v). Let d be m(7). Which is the closest to -1\/5? (a) -1\/3 (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 2:10 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3603*q + 9. Let h be y(-3). Round h to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k - 24 = k. Let r(i) = 3*i**2 - 7*i - 7. Let l be r(k). Solve 1 = l*j - 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 813 a factor of 68121270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**3 + 4*x**2 - 4*x + 1. Let k(c) = -3*c**3 - 3*c**2 + 2*c - 1. Let o(m) = -2*d(m) - 3*k(m). Calculate o(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - 2*(sqrt(7) - (sqrt(7) + -1)) - (sqrt(7) + 3 + sqrt(7) + -5)**2) + (-2*sqrt(7)*-5 - (1 + sqrt(7)*1)).\nAnswer: -35 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3 + 9. Suppose -4*d = -13*d + 369. What is the smallest common multiple of u and d?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 940.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 g when three letters picked without replacement from dttttdtgdtttddd?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -10*z + 3. Calculate the remainder when 386 is divided by u(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + (2 + -1 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(20\/(-28))*5. What is the third derivative of 14*j**4 + 0 + 0 + x*j**2 + 8*j**2 wrt j?\nAnswer: 336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19\/54392 or -1?\nAnswer: -19\/54392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.54306 not equal to 3163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - y - 32, -2*r + 1 = -5*y + 2. Find the third derivative of -j**3 - 20*j + 43*j - 24*j - r*j**2 - 2*j**5 wrt j.\nAnswer: -120*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 61 = -15. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) -0.2 (c) -5 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329995973.\nAnswer: 23, 14347651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -95 in 5, 2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 79 = -19. Suppose 12 + t = 4*s. Calculate the lowest common multiple of s and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38\/8 + -21 + 17\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*v + 54612 = 43*v. Which is bigger: 491 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-124)\/465)\/(6\/(-315)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10983530\/83 or 132331?\nAnswer: 132331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-5) + 68\/20. Let a(m) = -2*m + 9. Give a(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1207 - 3617\/3. Let l(t) be the second derivative of -3\/4*t**4 + h*t**3 + 0 + 8*t + 0*t**2. What is the second derivative of l(a) wrt a?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 680163.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-1) - 404)\/1. Let v = q + 414. Calculate the greatest common factor of 707 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2339.258 rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 250011, 500023, 750035, 1000047, 1250059?\n\"Answer: 250012*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - 14*q**2 + 7 + 412*q**2 - 30 to i*q**2 + j + s*q and give i.\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9\/25 of a kilogram?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 5*t + 6*t - 20 = 4*b, 5*b + 6 = 1592*t - 1591*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -b + 80. Is 23 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348904096.\nAnswer: 2, 41, 101, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 24, 59, 128, 243, 416, 659?\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m*w**2 + m*w - 709*w**2 + 328*w wrt w.\nAnswer: 2*m - 1418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 527144?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 5*z + 5*z)*(-43*z + 83*z + 261 - 42*z).\nAnswer: 4*z**2 - 522*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + f**2 - f - 1. Let o(l) = 8*l**3 + 32*l**2 - 44*l + 4. Let m(b) = 12*a(b) - o(b). Factor m(r).\nAnswer: 4*(r - 2)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 6*u**2 - 6. Determine y(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/26))**(1\/13))**4)**(-5) assuming l is positive.\nAnswer: l**(-10\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -22*c. Let h = 5 + -6. Let l be z(h). Let v = 87 - l. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 39*t**2 + 36*t + 12. Let w be d(39). What is the greatest common divisor of w and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200, 603, 1212, 2033, 3072, 4335?\nAnswer: 5828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 306\/(578\/(-34))*(-1)\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7551? (a) -0.8 (b) 4 (c) 12\/1465\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/(-6))\/(-4) - 88\/24. Suppose -4*p - 3*v - 7 = 0, -4*v + 20 = -0*p - 2*p. What is the nearest to 1\/4 in x, p, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-74)\/(-5)*15\/(-3). Suppose 0 = -4*r - 3*o - 397, -4*o - 162 - 34 = 2*r. Let j = d - r. What is the greatest common factor of 26 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhr when three letters picked without replacement from hhhhxhhre?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1021 + -1032. Is a at least as big as -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 3*w + 5. Let q(o) = -o**2 + 3*o - 4. Let v(l) = -6*f(l) - 7*q(l). Suppose -2*t + 0 = -6. Let r be v(t). Is -2 equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 5*c + 5. Let g be x(-3). Suppose 21*j - g*j - 26 = 0. Let u(d) = 5*d - 11 + 4 + 0*d**2 - d**3 + d**j - 4*d**2. Calculate u(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 4) + 5 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100 + -102. Which is smaller: -12\/13 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*u = -31, 4*x - x = -4*u + 23. Suppose x = 3*v - 1. Factor 7 + 16*k - 10*k**v + 8 - 7.\nAnswer: -2*(k - 2)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7136 + -5963. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138\/1127*7630\/(-2616)*4\/(-5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j + 1. Let u be l(2). Let f = 18 + u. Solve -4*y + f*y = 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 16 - 6)*(q**3 + q**3 - q**3) + (2*q**2 + q**2 - q**2)*(0*q - 3*q + q).\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -93, 395 in descending order.\nAnswer: 395, 4, -3, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**2 - 1. Determine f(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -66661, -66664, -66669, -66676, -66685, -66696, -66709?\n\"Answer: -b**2 - 66660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b - 3. Let v be g(-5). Find the common denominator of v\/(-8) - (1 + -1) and (9\/162)\/((-3)\/(-66)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54895.995 rounded to the nearest one thousand?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urrlu. Give prob of picking 3 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476*b - 574 - 535 = 319. Let r = 31 + -19. Solve -20 = -5*h + 4*v, -8*h + r = -5*h + b*v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q. Let z(p) = 1919*p. What is u(z(w))?\nAnswer: 19190*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -3, 3, -5, 6, -45 in descending order.\nAnswer: 6, 3, -3, -5, -15, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34572607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 230, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuulllllulll. Give prob of picking 1 l and 2 u.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 9:13 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-5))\/((-10)\/150) + 12773. Let n = -8244 + b. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1887 and 9?\nAnswer: 5661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 10:05 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1042 - 1045. Which is the nearest to 0? (a) 5 (b) -0.9 (c) k (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 7*s**5\/5 - 8*s**3\/3 + 1. What is the third derivative of f(m) wrt m?\nAnswer: 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8267282156445862*n**2 - 155081512*n - 8\/11.\nAnswer: -2*(213237079*n + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8311, 8514, 9065, 10138, 11907?\nAnswer: 14546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 5, 2.3, 12?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w + 470 = 0. Suppose -4*s - 2*k = -0*k - w, -115 = -s + 2*k. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -135*y**2. Let a(o) = -2*o**2. What is s(a(l))?\nAnswer: -540*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-15)*-7*(-18)\/(-63).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4517, -4506, -4489, -4466, -4437, -4402?\n\"Answer: 3*h**2 + 2*h - 4522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -4. Suppose -70 = -m*d + d. What is the remainder when 53 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {t: 1, e: 1, r: 1, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24876285 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/39)\/2*54\/(-27).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 8. Suppose -4 = g + 5*w, 5*g = -3*w - b + 2. Let p = 5 - g. Solve -9 = -j - p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.27 + 2.27. Sort n, -8\/19, 1 in decreasing order.\nAnswer: 1, -8\/19, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1.4, 0 in increasing order.\nAnswer: -4, -1.4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 2 + 5*a - 4*a**2 - 1\/3*a**3. Let t be z(-7). Solve 0*q - t = 2*q - 2*f, -f + 4 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 20857\nAnswer: 3\/20857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 135, 141, 147?\n\"Answer: 6*a + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40155? (a) -3\/4 (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 7:31 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/1057622 + 283811806459\/134317994. Suppose 4*h + 8427 = -8*i + 3*i, 3*h + 4*i + 6319 = 0. Let f = h + o. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0074 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 0*v + 0 + 19*v**2 - 17\/6*v**3 + 1\/120*v**6 - 1\/2*v**4 + 3\/20*v**5. Calculate the remainder when 8 is divided by p(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -61*g + 91. What are the prime factors of c(-8)?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 - 1. Suppose -240 = -2*b - 0*b. Let m be (-1)\/(-4) + (-46)\/b. Put m, 2, o in descending order.\nAnswer: 2, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2904) - sqrt(2904)*-1)*-5)\/(-2*sqrt(128)*5 - 1*sqrt(128)*1).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppuaauaxcuaqua. What is prob of picking 1 u, 1 c, and 1 p?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -41*h**3 + 6*h**2 + 13*h + 13. Let k(q) = 39*q**3 - 9*q**2 - 18*q - 13. Calculate -2*k(y) - 3*z(y).\nAnswer: 45*y**3 - 3*y - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225 and 3.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + r**3 - r**3)*(-1235 - 12 - 504).\nAnswer: 1751*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1275\/50)\/((-198)\/16) + 2 and -65\/21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**2 - 296*w = 0.\nAnswer: -74, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 65016378 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62474 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 1 + 2, -3*y = -5*s + 51. Suppose 10 = -s*u + 17*u. Is 11\/10 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 + 8*v - 8*v + (0*v + 3*v - 5*v)*(2*v**3 + 3*v**3 - 3*v**3) + 0*v**4 + 2*v**4 - 4*v**4 + (2*v**2 + 5*v**2 - 4*v**2)*(2 - 2 + 2*v**2).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29 take away 85036715.8?\nAnswer: -85036715.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -8 - 42 - 42 + 14 - 6*i. Let h be l(-13). Put 2, h, -4, 28 in ascending order.\nAnswer: -4, h, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 186226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 1. Let m be g(-2). Let u(a) = m*a - a + 4*a. Let h(w) be the second derivative of w**3\/6 - 14*w. What is -21*h(k) + 3*u(k)?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62804885?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 148042395 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*v + 31 + 19 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fddf when four letters picked without replacement from {f: 3, d: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -776821 and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -54*r + 14. Let m(p) = 28*p - 8. Determine -5*m(f) - 3*x(f).\nAnswer: 22*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09607 or -91\/16?\nAnswer: -91\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -476.8 * 34\nAnswer: -16211.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 52218?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 569 - 267 = 0. Let p = h - 43. Sort 0, p, 2, -6 in descending order.\nAnswer: 2, p, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*a*y**2*z + a*z + 21*a - 44*y**2 - 88*y*z wrt z?\nAnswer: 30*a*y**2 + a - 88*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3*r = -80. Calculate the smallest common multiple of 4 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j + 1. Let x be z(-2). Suppose m = -4*n - 3*m - 24, 3*n + 5*m = -24. Let a be 176\/24 - n\/(-9). Which is smaller: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 7 - 144*g + 3 - 159*g as t*g + u and give t.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 807, 1662, 2517?\nAnswer: 3372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151126\/89 - 1698. Let f = v - -69\/445. Sort f, -2\/5, 4\/3 in decreasing order.\nAnswer: 4\/3, f, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -125*d**3 - 41. Let i(r) = 2*r**3. Let z(s) = 3*i(s) - y(s). What is the first derivative of z(a) wrt a?\nAnswer: 393*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4708117 kilograms to micrograms.\nAnswer: 470811700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38790 and 360.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, c: 6, b: 3, p: 3, q: 1}. What is prob of picking 2 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-10)\/g)\/g**1*(g\/(g**(1\/4)\/g*g))**(-2\/47) assuming g is positive.\nAnswer: g**(-1131\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 29*i**6\/120 + i**4\/12 + 923*i**3\/6 - 179*i**2 + 4*i. Differentiate c(l) wrt l.\nAnswer: 87*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227822 is divided by 45555.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -8\/9*t**3 + 0*t - 1\/10*t**5 + 11\/24*t**4 + 21 + 1\/360*t**6 - 2*t**2. Factor z(p).\nAnswer: (p - 16)*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3387*y - 3491*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3, -2, 5\/7, -1\/2, 14703?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1310 and 14?\nAnswer: 9170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*y**3*z - 25*a*y**3 - 75*a*y**2 + 6*a - 2*y**3*z + 12866*y**3 + 3671*z wrt y.\nAnswer: 6*a*z - 150*a - 12*z + 77196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96294 and 10.\nAnswer: 481470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459636 is divided by 45.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 96 = 2*n - 0*n, 248 - 209 = -2*h - 2*n + 3*n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75012 = 11*y - 392543. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287698 is divided by 26153.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1575 = -1221. Let z = h - 517. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 16 = -10. Let f be (-2 + t)*(2 + -5). Is 0.01 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100001010010011010 (base 2) to base 15\nAnswer: 2a5eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20187*b**2 - 40351*b**2 - 2*b + 20180*b**2.\nAnswer: 16*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2. Let x(u) = -7*u**2 - 5*u + 2*u + 5*u - 2. Suppose 39*b + 46 = 12*b + 19. Determine b*x(l) + 5*d(l).\nAnswer: 2*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2534 - 151?\nAnswer: -2685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/10 (b) -275 (c) -3 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*t - 101 = 0, -4*z + 2*t + 2*t + 52 = 0. Let j(c) = -c**2 + 5*c - 8. Let m be j(8). Let o = m + z. Put -0.2, 1, o in decreasing order.\nAnswer: 1, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*u - 121, -4*k - 120 = -5*u + u. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 1. Let f(s) = 4*s - 3*s**2 + 4*s**2 + 0 + 2. Let o be f(m). Which is smaller: o or 2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140072398 a multiple of 514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.11502 from -9159812.\nAnswer: -9159812.11502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 63 + 5 - 2*i - 31 + 14. Determine a(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**3 + 6*z**2 - 7*z + 7. Let c(j) = -9*j**3 - 13*j**2 + 14*j - 15. Suppose 0 = 58*g + 21*g - 1027. Give g*k(q) + 6*c(q).\nAnswer: -2*q**3 - 7*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2458.1, 26, -16, -1\/2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = -7*f - 281. Solve 6*h - f*h + 6 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.3, 126732 in increasing order.\nAnswer: -0.3, 0.5, 126732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 188 + -185. Find the third derivative of -91*n - z*n**3 - 91*n**2 + 91*n - 8*n**3 wrt n.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135\/364 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/2*7980\/2793?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 1411. What is the units digit of i(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**4\/30 - 14*s**3\/15 + 49*s**2\/5 - s. Let b(o) = 0. Calculate o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 2009*p + 5*p**3 - 7*p**3 + 3*p**3 + 2151*p.\nAnswer: p**3 + 142*p + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 17. Let z = j - -8. What is the tens digit of 22\/2*(0 - z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -15. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -270\/92627?\nAnswer: -270\/92627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -185846 * 481\nAnswer: -89391926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -q + 3*r, -3*q + 24 = -7*r + 10*r. Is (-3)\/(-12)*1753*q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25153509 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(3)*1) - (sqrt(13) + -1)*1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 22. What is the second derivative of -l*o**2 + 0*o**2 + 4*o**2 + 10*o**3 + 13*o wrt o?\nAnswer: 60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - k + 6*k = -2055, 5*k = -30. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 2897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -190248196041+-65\nAnswer: -190248196106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 82130653.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4252, -8233, -12214?\nAnswer: -16195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 b, and 1 w when three letters picked without replacement from {b: 2, z: 2, o: 6, w: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -204 - 96?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*z = -18, 6*s - 199 - 207 - 239 = -5*z - 598 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/5875 and 161\/57083850?\nAnswer: 285419250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -645650 (base 7) to base 14.\nAnswer: -2cdd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7639 less than -395.53507?\nAnswer: -8034.53507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26179, -52356, -78529, -104698, -130863, -157024, -183181?\n\"Answer: 2*u**2 - 26183*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from {l: 4, n: 4, q: 12}.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**3 + 3*l**3 + 2*l**3 + (2 - 2 - l)*(l**2 - 3*l + 3*l) in the form n*l**3 + u + h*l + f*l**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1119543, -2239089, -3358633, -4478175, -5597715, -6717253, -7836789?\n\"Answer: l**2 - 1119549*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - -4 - (335 + -368) - 30.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 6*g - 4. Let r(y) = 1. Let l(k) = -p(k) - 2*r(k). Let h = -29 + 35. Let o be l(h). Solve 3*x - 3*w + 2 + 1 = 0, -2*x - o*w = 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-54) - (-11)\/9)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 17*y = 270. Let p = 285 - y. What is the remainder when 27 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 6:01 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5564904146 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, -4, 1\/2, 0.54, 166, 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0795209 centuries to years.\nAnswer: 7.95209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12408 and 2503878.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 + o**3 - 14*o**3 + 2*o**3.\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 2*n**2 - 22*n - 28. Let s be d(-5). Let t(w) be the second derivative of s*w - 25\/12*w**4 + 0 + 0*w**2 + 3\/4*w**5 + 5\/3*w**3. Factor t(q).\nAnswer: 5*q*(q - 1)*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.53\nAnswer: -1.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 70 = -3*q. Suppose q - 10 = 5*g. Suppose 3*c - g*c + 2 = 0. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 - 119*v**2 - 48*v - 600. Determine p(60).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2541)\/280*-4 + (-912)\/3040?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -8)*28\/70. Let h(z) = -z**3 + 3*z**2 + 4*z - 4. Calculate h(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(500) + -2 - (sqrt(500) + 2 + 3 + sqrt(500)))*-3*1*-4)**2.\nAnswer: 725760*sqrt(5) + 2846016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 387097584 and 848.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 25 = 2*m - 299, -3*m - 778 = -5*i. What is the remainder when 974 is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**5 + 2*m**5 - 4*m**5)*(-1 + 2 + 0) + 6*m**4 - 2*m**5 - 6*m**4 + (2*m**4 + 0*m**4 - m**4)*(7*m + 1 - 1).\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*i**4*w**2 + 3*i**3*w**2 + 11*i*w**2 + 4*w**2 wrt i.\nAnswer: 264*i**2*w**2 + 18*i*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 150?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**4\/24 - 5*f**3\/3 + 9*f**2. Let k be u(11). Solve 4 = -q - k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from {l: 7, m: 5, g: 8}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -8 (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -196*w**4 + 610*w**3 - 53618*w**2 - 3.\nAnswer: -4704*w + 3660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 0, -22, -423, -2\/121?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 314 - 205. What is the remainder when t is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 253 and 1163501.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 9*a**2 - 10*a - 7. What is z(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z + 1 - z**2 + 0*z + 0*z + (-4*z - 4*z + 4*z)*(2*z - z + z).\nAnswer: -9*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 2, f: 2}. What is prob of sequence tfb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**5\/40 - s**4\/12 + s**3\/3 - s. Let y(m) be the second derivative of g(m). Calculate y(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12467 + 12460 + (-1 - 0 - -21).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.44924 millennia to centuries.\nAnswer: 904.4924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*30\/(-40)*4\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 41?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 40. Suppose -z + 2*z = t*m, -5*z + 5*m = 60. Is z less than or equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**3 + 2*n - 2. Let a = 66 + -66. Let g(t) = 73*t + 1 + a - 74*t + t**3 - 3*t**3. Determine 8*g(u) + 5*m(u).\nAnswer: -u**3 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 10\/(-2)) + -1. Let z = 395\/21 + -127\/7. Factor 1\/3 - z*d + 1\/3*d**n.\nAnswer: (d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/29*(-27)\/36*(-136)\/204?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(49)\/(2*sqrt(7)) + sqrt(7) - (sqrt(175) - -1*(sqrt(175) + 1)))**2.\nAnswer: 51*sqrt(7) + 2059\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -22630320 to the nearest 10000.\nAnswer: -22630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11, 38, -8 in decreasing order.\nAnswer: 38, -5, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 573521681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -17942648.99 to the nearest ten thousand.\nAnswer: -17940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.39438 < -32005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.105289 and 7.6.\nAnswer: 0.8001964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18.0423755 and -0.4.\nAnswer: -7.2169502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 523597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*d**3 + 4*d**2*p + 24*d**2*x + 4619*d*p*x - d*x + 2*p*x wrt d?\nAnswer: 66*d + 8*p + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -3 (c) -1\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/58153194 and 56\/297.\nAnswer: 58153194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -133, -201, -267, -331, -393, -453?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h = -25. Let f = 65.4 - -42.6. Let w = -111 + f. Put w, h, 0.4 in increasing order.\nAnswer: h, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 1. Let n be c(-2). Let u(h) = 3*h**3 - 2*h**2 + h. Let a be u(n). Are a and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.086 + 34.086. Let r = t + -33.999776. What is r rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 876.6876 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -21*f + 22. What is the least common multiple of (-342)\/12*(-10)\/3 and i(1)?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bww when three letters picked without replacement from {n: 5, w: 4, z: 6, y: 1, b: 1, f: 3}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -169 and -246?\nAnswer: 41574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2522, 10038, 22572, 40130, 62718, 90342?\n\"Answer: s**3 + 2503*s**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 10 + (-8 - (1 - 6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -1.8 (c) 0.156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 + 2.6. Let a = -2.7 - z. Sort 0.05, a, 4 in descending order.\nAnswer: 4, 0.05, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 3*m + m)*(-4*m - m**2 + 4*m) + 4*m**3 + m**3 - m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 - -6.1. Let s = -11 + k. Is -1 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 953955 and 215.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0888 to two dps.\nAnswer: -2.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726723?\nAnswer: 3, 80747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 47*f**3 + 1 + 20*f**3.\nAnswer: 67*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4629347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*a + 23, 0 = 3*a - 5 + 2. Suppose 5*n - u + 32 = 0. Sort 6, n, 0 in descending order.\nAnswer: 6, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 4*g. Let m(k) = -2*k**3 + 5*k. Suppose 0 = -10*z + 8*z + 4. Determine z*m(s) - 3*j(s).\nAnswer: -s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1644197 to three decimal places.\nAnswer: 0.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -2*q + 10*m, 6*m + 389 = 5*q + 464 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i. Let f(g) = 496*g. Calculate f(o(v)).\nAnswer: -496*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192540 divided by 9627.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 237?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 4\/3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79773620.\nAnswer: 2, 5, 3988681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -22. What is the units digit of (-3 + 188\/i)\/(-1) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39673640 and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81333, 81322, 81297, 81252, 81181, 81078, 80937?\nAnswer: 80752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119479484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/w**(1\/2)))**(-1\/7)\/(w**(-1\/4))**(4\/5))**(-13) assuming w is positive.\nAnswer: w**(-247\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2366785 divided by -2.\nAnswer: -2366785\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 33, 5, 1 in ascending order.\nAnswer: 1, 5, 9, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1686*g - 1. Let k(u) = 1687*u - 1. Determine -4*h(m) + 5*k(m).\nAnswer: 1691*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2. Let x(s) = 223*s**2. What is x(d(l))?\nAnswer: 892*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 3320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -19 - 3) + -5527913. What is a rounded to the nearest 100000?\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -50 + 66 + -25 + 9. Solve -3\/4*b + 11\/8*b**2 + s - 3\/4*b**3 + 1\/8*b**4 = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1319399 to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-748)\/121 + 12).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59\/175 - -2\/525. Which is smaller: 0.22 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*c = 10, -3*z = 3*c + 34 - 67. Suppose -8 = -4*l + 4. Find the second derivative of -z*a - 5*a - 31*a + 18*a + 23*a**l wrt a.\nAnswer: 138*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 449 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -4. Let d(j) = 5 + 0*j + j - 4*j. Calculate d(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022212030 (base 5) to base 4.\nAnswer: -20030112311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (2\/12)\/((-15)\/90).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1783670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48943635?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 246\/(-4) - (-25)\/(-10). Let p = -58 - v. Calculate the lowest common multiple of p and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16223 is divided by 144?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(2) + sqrt(4)\/sqrt(2) + sqrt(2) + sqrt(2)) - (sqrt(3) + (sqrt(27)\/sqrt(3))\/sqrt(3)))**2 + 6*-2*sqrt(3) + 1.\nAnswer: -12*sqrt(3) + 163\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n + n + 126 = 0. Let h = 2 + 1. Let s(b) = b + h - 5 + 6. Calculate s(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2207 to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 41?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 46?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6511 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 460882 divided by -47.\nAnswer: -9806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570*h + 610*h = -80 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -19142 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + i = 5*i - 6, -5*j = -i - 11. Let k(t) = -624*t - 4366. Let h be k(-7). Solve -h*l = 3*b - j, l + l - 4*b + 26 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11250 (base 7) to base 13.\nAnswer: -1404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.179 - 1.179. What is the closest to a in 0.114, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -707*x**4 + 354*x**4 - x - 341*x**4 + (-2*x**3 + 2*x**3 + 2*x**3)*(4*x - 2*x - x) in the form y + i*x**2 + d*x**4 + o*x**3 + g*x and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -3, -5\/3, 5, 0.2657, -58\/5?\nAnswer: 0.2657","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -329.3008710786?\nAnswer: -354.3008710786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 + -31 + (-172)\/16 + 2)\/(7\/(-18)).\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o - 20 = -q, -q + 5*o - 10 = 0. Suppose -4*b + 4*z = 0, -3*z - 4 = -5*b + 2. Suppose q*f - b*s - 6 = 0, 2*f - 2*s + 3 = s. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/23)*c**(1\/4))\/c**(12\/17))**(1\/34))**(-11\/4) assuming c is positive.\nAnswer: c**(6347\/212704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 10:17 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69078 is divided by 557.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2343*i**4 + 61*i**3 + 91*i**2 + 41*i + 88.\nAnswer: -56232*i + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 1. Let y be i(2). Let f(c) = -2*c**3 + c**2. Let k be f(y). Suppose l + 5*s + 11 = 0, 5*l - k = 2*l - 3*s. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4385 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-130)\/(-39) - -1*1\/(-3). Solve -5*l + 4*v = 0, -v = -l - b*l - 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 42.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26801, 24830, 22859?\nAnswer: 20888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1456)\/(-468))\/(18\/(-81)*1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3574985146?\nAnswer: 2, 1787492573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/324 and -47\/24.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.652 plus 2.1?\nAnswer: 0.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 - -62. Which is the nearest to 3? (a) 0.3 (b) j (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*a - 12866, 15*a + 16015 = 5*i - a. Calculate the highest common factor of 481 and i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tlttl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -541, -515, -471, -409?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/5)\/(1\/(-10)). Let m(y) = -6*y + 3. Let r(s) = -5*s + 3. Let k(v) = 3*m(v) - 4*r(v). Give k(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 11:45 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 6. Which is the third biggest value? (a) -4 (b) 0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 141202, 141204, 141206, 141208?\n\"Answer: 2*g + 141200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 296 + -328 - (-67 + -2)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5)*t)**(4\/9)\/((t*t**18\/t)\/(t\/(t**(-2\/41)\/t))))**20 assuming t is positive.\nAnswer: t**(-130840\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 211 + -200. Find the common denominator of 48\/7 and (6 - 1966\/198) + (-2)\/p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -313, -654, -1121?\nAnswer: -1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmaamommaaaoaa. What is prob of sequence ao?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(891)*2 + 4)**2 + -5)*-3.\nAnswer: -42801 + 864*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 - 32*k**2 - 42*k + 157. Give b(17).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2 + 27529*k + 27530 = 0. What is k?\nAnswer: -1, 27530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 2*p**2 - 2*p + 2. Let j(z) = -2*z**3 + 4*z**2 - 5*z + 5. Let o(u) = -9*i(u) + 4*j(u). Calculate the remainder when 7 is divided by o(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15907997.7 nanoseconds to weeks.\nAnswer: 0.00000002630290625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2727*w + 545327. What is o(-200)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 8:28 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 208414 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l**3 - 25*l - 11. Let u(n) = -n**3 + 6*n + 3. What is 2*c(s) + 9*u(s)?\nAnswer: s**3 + 4*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-4)\/x**6)**(2\/25))**(-30))**(-20) assuming x is positive.\nAnswer: x**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 57 = 3*t. Let y be 2\/4*(-8)\/(-2). What is the greatest common divisor of t and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 3*z**2 + 2*z. Let m be c(2). Let k = 237 + -238.1. Let u = -5.06 - -6.06. Sort u, 5, k, m in descending order.\nAnswer: 5, u, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 5:06 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 232952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1913.71912 + -1914. Let m = 0.28 + v. What is m rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09888431 to 4 decimal places.\nAnswer: 0.0989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 46572922 + -4?\nAnswer: 46572918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 151558349 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41204, 40789, 39656, 37445, 33796, 28349, 20744, 10621?\nAnswer: -2380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/3)*(-8)\/42?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 1184.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + s + 1. Suppose 7*b + 14 = -70. Let o(z) = -z**3 - 12*z**2 - 2*z - 22. Let w be o(b). Calculate v(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - t + 2*t)*(4245*t + 137 + 29915*t + 118 + 116 - 372) in the form o + z*t**2 + u*t and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(4\/13)*j)*j)\/j)\/((j*((j\/((j**(-19)\/j)\/j*j))\/j*j)\/j*j)\/j)*((j*j**(-1\/3)\/j)\/j)\/j**13 assuming j is positive.\nAnswer: j**(-1429\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 38*l**2 - 2*l - 60. What is d(-38)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 725 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32472959 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 12251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3\/4 - 2055*k**2\/2 - 20441*k\/4 + 86205 = 0. Calculate k.\nAnswer: -4105, -12, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**3 + 21*j**2 + 27*j + 16. Determine u(-8).\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*m - 73*m = -216*m - 140*m + 444 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275\/(-15)*(-6)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15963363, -31926724, -47890085?\n\"Answer: -15963361*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12228*t + 12216*t + 96 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g + 1. Suppose -439 = 9*t + 551. Let m(i) = -110*i + 110. Let j(h) = t*f(h) + m(h). Let a(u) = -2*u. What is j(a(b))?\nAnswer: -220*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u**2 - 6*u**2 + 8*u**2 + 32*u**2.\nAnswer: 51*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x**3 - 10*x**2 - 11*x - 14. Let c be n(-6). Suppose -6*p + c = -4*p - 4*a, 4*a = -3*p + 1532. Calculate the highest common divisor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*p)*(-3*p + 6*p + 3*p)*(-p**2 - p + p).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5750*b - 80413. What is u(14)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15394493 and 2728138?\nAnswer: 215522902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/12)\/((-52)\/(-78))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -7. Let h = -71 - -71. Let d = 117 - 353\/3. What is the closest to h in d, -3\/8, p?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbxagaaaggxggbagxgg. What is prob of picking 1 x and 2 b?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955372723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - l - 2*l = 18, 0 = -4*n + 4*l + 112. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-8 + 9) - (-10 + -22)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -74*q**2\/7 - 5719*q + 541\/7.\nAnswer: -(q + 541)*(74*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (6 - 4) - 8 - (84 - 52)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1057238 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7529, 15016, 22503, 29990, 37477?\n\"Answer: 7487*l + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 69 (base 14) to base 16\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -0*w + w. Suppose 7*c - 2*c - 35 = -3*y, 0 = y - 5. What is the closest to 0 in c, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 543, 2153, 4833, 8583, 13403?\nAnswer: 19293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*t + 9 = 0, 4*t - 33 = 4*v - t. What is the smallest value in 0.3, 0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 6*j - 109. Suppose -4*x + 0*a - a = -77, -x + 5*a + j = 0. Let p(i) = -3*i - 5. What is the remainder when x is divided by p(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33c276 - -b5?\nAnswer: -33c1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -117 - -114. What is the smallest value in 1\/4, 1, 0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-595)\/(-51) - 14)*(-6)\/455. Let z(f) be the first derivative of 8 + 0*f**4 + 0*f**2 + g*f**5 + 0*f - 2\/39*f**3. Suppose z(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289554 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19117008 divided by -8?\nAnswer: 2389626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 3 + -3 + 35\/(-28). Let s = -11 - -10. Which is the biggest value? (a) o (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 464064397?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24342632, -48685263, -73027890, -97370513, -121713132, -146055747?\n\"Answer: 2*i**2 - 24342637*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 5944*z + 5939*z = 6, -5*n = 2*z - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**3 + 3*s**2 + 3*s + 3. Suppose -14*r = 11 - 53. Let i(y) = 9*y**3 + 5*y**2 + 5*y + 5. Give r*i(m) - 5*o(m).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 0*r - r + 0*r - 4*r + 6*r - 15 + 15 + 12*r + 0*r - 3*r + r + (0 + 4 - 2)*(2*r - 1 + 1) + (2 - 2 - 2*r)*(0 - 1 + 2) - r + 2*r - 3*r.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 + 0 - -2 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3498.176 rounded to the nearest ten?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 42. Let r be -1*(j - 2)*-1. Solve w - r = -2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-3) - 11*(-1633)\/(-2024).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*h - 380*h - 1071 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*k - 12, 3*k - 5*k = -o + 6. Let d be 11\/3 + (-3)\/(-9). Suppose -d*h + 380 = -o*h. Calculate the greatest common divisor of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 200*x - 53*x**4 + 14*x**4 + 240*x**2 + 23*x**4 + 18*x**4 + 45*x**3 - 3*x**3 = 0. What is x?\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 2*j - 10 + 3 - 22 + 5.\nAnswer: -2*j - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1041598, -2083194, -3124790, -4166386, -5207982?\nAnswer: -6249578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -199879 + -44021. What is i rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 b, and 1 l when three letters picked without replacement from mbbmlmmmmombbmmb?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 + 12*b**3 - 180*b**2 - 768*b - 768.\nAnswer: 3*(b - 8)*(b + 2)**2*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c483 - -16?\nAnswer: c499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -394 + 419. Solve w = -8*o + 13*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 71, 3, 269 in increasing order.\nAnswer: 0, 3, 71, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + t**2 + 11*t + 53. Let q be u(-3). Let c(m) be the first derivative of -11\/12*m**q + 26 + 1\/24*m**4 - m - 2\/9*m**3. What is b in c(b) = 0?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -76, -85, -98?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 7*t**2 - 7*t + 24. Let p be g(-8). Suppose -4*q = -4*u + 8, p*u - q = 19*u - 10. Solve -k - 5 = -u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**5 - 9558*z**4 - 11433744*z**3 - 34215264*z**2.\nAnswer: -2*z**2*(z + 3)*(z + 2388)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 - -57. Let q(b) be the first derivative of 0*b + s*b**2 + 1\/3*b**3 - 3 + 3\/4*b**4. What is the third derivative of q(x) wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/2618 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.5 in -2\/9, 4\/3, 1\/3, -0.09?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7c0 + -50b?\nAnswer: -ccb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 770 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -162749*c + 3254976. Give b(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1786 less than or equal to -822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 549574, 549572, 549570, 549568, 549566, 549564?\nAnswer: 549562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 20*l - 8. Is 10 a factor of j(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6405*a + 759*a - 2746*a as j*a + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/((p\/(p**11*p*p)*p)\/p*p)*p\/(p*((p*((p\/(p**(-9)*p))\/p*p)\/p*p)\/p)\/p)*((p\/(p**3*p))\/p)**(4\/15))**(-48))**43 assuming p is positive.\nAnswer: p**(-50912\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 1:41 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3 (b) 19 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 11*i**2 + 34*i + 17. Determine x(4).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 - 23. Let f be 2\/12 - (-3448)\/p. What is the highest common divisor of 48 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160420 divided by -28.\nAnswer: 40105\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uej when three letters picked without replacement from euebjqb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/624 + (-188)\/(-1092)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**5\/60 + l**4\/4 + l**3 - 784*l**2. Let d(s) = s**2 + 5*s + 5. Calculate 4*b(h) - 5*d(h).\nAnswer: -h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -l - 2*a, 6*l + 449*a = 451*a + 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (8 + -12 + 0 - -3) + (-1 - 3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 15. Let b(i) = 2*i + 30. Determine -6*b(s) + 11*o(s).\nAnswer: -s - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p. Let k(l) = l - 2082. Determine b(k(d)).\nAnswer: -2*d + 4164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 2*w - 3. Let m be q(3). Suppose m = -5*l - 0*l. Suppose -16 = -4*a, 18 = 2*u + a - l*a. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 y when four letters picked without replacement from ryrryr?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 18. Let x be -1 - (-5)\/((-10)\/64). Let g = x + 54. What is the greatest common divisor of f and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -210*q + 1728. Let m be v(8). Solve -12*i - m = -28*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*-1*sqrt(567) + 1 + (-2 + 2 + sqrt(567) - (3 + sqrt(567) + 4 - sqrt(567))))**2.\nAnswer: -396*sqrt(7) + 2389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000079187 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 170*r**2 + 132*r + 714. What are the prime factors of h(-6)?\nAnswer: 2, 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -108 or -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 77840\/(-62272)*(-16)\/150?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 17*o - 13*o - 16, -5*o + 2*n = 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 89*q + 6 - 1.\nAnswer: -89*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5)\/v)\/v**(-9))\/(v\/v**(1\/8)*v)**(6\/5) assuming v is positive.\nAnswer: v**(107\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3287648 divided by 1643824\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 489 + -331. Does 28 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 177 - 161. Calculate the remainder when 89 - (6 + -7)*2 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -587 or -624?\nAnswer: -587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*l = 5*y, l = -4. What is the second biggest value in -1\/9, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1)*(-3*l + 7*l + 0*l)*(3 + 1 - 11)*(2 - 1 - 4) to the form z*l + m and give z.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/190 and 46\/156105.\nAnswer: 5931990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and 3049.\nAnswer: -1829.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/(7 + (-152)\/22) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -t + l, t = -4*l + l + 102. What is the remainder when 367 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s. Let l(a) be the third derivative of 0 + a**2 + 0*a**3 + 0*a - 1\/24*a**4. What is m(l(b))?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 25 = 5*x, 5*m - 4*x = x - 15. Suppose q + 4*l + 6 = 0, -3 = 4*q - 4*l + m. Is -10\/7 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 - 7*l**2 + 3*l**2. Let r(t) = -363*t**2. Calculate a(r(d)).\nAnswer: -131769*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1216) + 0 + 2 - ((sqrt(1216) - 2*sqrt(1216))*6 + sqrt(1216) + sqrt(1216))))**2.\nAnswer: 2560*sqrt(19) + 486464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 83267 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: Are -1000 and -1\/18 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5143*l*n**3 - l*n**2 + 25*l*n - 57*l - 6857*n**3 + 12*n**2 - 2*n + 5 wrt n?\nAnswer: 30858*l - 41142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 9)*12\/9. Let i(l) = l**2 - 3*l - 7. Let u be i(5). Suppose n = -u + r. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*a**2 - 14*a*z - 14*a + 8512*z wrt a.\nAnswer: -48*a - 14*z - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/11)*y)\/y)**28)**43\/((y**(-2\/5)*y)**(2\/51))**(-48) assuming y is positive.\nAnswer: y**(922116\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/12*3\/(-2). Suppose 195 = -u*b - q, b - 4*q = -3*b - 220. Let r = b + 103. 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 -22102212200 + -10221?\nAnswer: -22110000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/7*70\/(-20) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2 + 2. Let l(s) = -23*s**2 - 9. Let k(u) = 2*l(u) + 9*y(u). Let o be 5*(16\/10)\/4. Let b(v) = -3*v + o*v + 0*v - v. Give k(b(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010152 to 7 decimal places.\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -660534 + 29078809\/44. Let g = -1383\/4 + i. Find the common denominator of g and -64\/39.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 - 3*s**2 - 69*s + 2*s**2.\nAnswer: 3*s**2 - 69*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42965005, 42965002, 42964999, 42964996, 42964993?\nAnswer: 42964990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -16784*y**3 - 21*y**2 - 23*y - 4. Let d be w(-12). Round d to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8757747l in millilitres?\nAnswer: 875.7747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a + 9. Suppose 5 + 1 = z. Let k be y(z). Let n = -5 - k. What is the highest common divisor of n and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 7 (b) -2\/5 (c) 1.1 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 13 - 129 = -3*w, -4*w = -4*y + 384. Suppose 2*n = 1 + 3. Suppose -2*g - f = -4*f - 58, -n = f. What is the remainder when y is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 5\/784, -3691?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34877\/60 + -3479\/6. Find the common denominator of -63\/22 and o.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56832 + 5171769\/91. Find the common denominator of -53\/13 and a.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 604206 + -4?\nAnswer: 604202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 82299002 + 2?\nAnswer: 82299004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -1)\/(1\/1). Let d(t) = 4*t**l + 2*t - 2*t. Let h(j) = 5*j + 6. Let r(p) = 14*p + 17. Let y(v) = -17*h(v) + 6*r(v). What is y(d(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-15))\/(2\/3). What are the prime factors of 31 + (s + -3 - 0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.02 and -149.2.\nAnswer: -152.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -5*r - q + 15, -5*q + 35 = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -31, -114, -273, -526, -891, -1386, -2029?\n\"Answer: -3*r**3 - 20*r**2 - 2*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -2*m**5\/5 + 5*m**4\/8 + 23*m**3\/6 - 3*m**2\/2 - 37. Let x(y) = 0. Calculate y.\nAnswer: -2, 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*l + 5*v, 3*l = -5*v - 16 + 26 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 446611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3 + 84046*j**2 + 1770545984*j + 193744432640 = 0. Calculate j.\nAnswer: -41968, -110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-396)\/72)\/((-55)\/30)*(-4)\/(-18).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 + 4*j + 8. Let x(r) = 6*r**2 + 9*r + 17. Let b(f) = -9*l(f) + 4*x(f). Differentiate b(n) wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 100111100000100000?\nAnswer: 100111100000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 33 = -63. Suppose 28 = -g*f - 8. Let k(m) = 4*m + 2. Let n(b) = -b. What is f*n(z) - 2*k(z)?\nAnswer: -2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 492041389 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2723*x**2 + 2283*x**2 + 12*x**3 - 5006*x**2.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**7\/840 + h**5\/60 + h**4\/24 - 3*h**2. Let s(d) be the second derivative of j(d). Differentiate s(y) wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 268c?\nAnswer: 268d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1223\/164 - -316\/41. What is the closest to 0.0407 in -4, n, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + ((-112)\/(-140) - (-164)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.004 + 0.996. Which is the nearest to 0.5? (a) -2\/9 (b) q (c) 1\/2 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 618*z**2 + 929*z**2 - 551*z**2 + 76*z**2 to c + k*z + x*z**2 and give x.\nAnswer: 1072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**5\/6 + 7*r**4\/2 - 10*r**3\/3 = 0. Calculate r.\nAnswer: 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385823 is divided by 2030?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 176, -4 in decreasing order.\nAnswer: 176, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j - 222. Let y be x(-74). Which is the second biggest value? (a) y (b) -5 (c) 381 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305234.\nAnswer: 2, 152617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -16*2\/(-4) + 2. Suppose -2*g - 6 = -5*b - 17, -4*g - 2*b = -j. Let n be 4\/2 - (-1 + 1). Solve 5 = 2*z - g*u, -z - 3*u = n - 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + -1033330140?\nAnswer: -1033330112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/43 (b) 4 (c) -9 (d) 20\/7 (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.164 or 581566?\nAnswer: 581566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 207247 in 91, 0.4, -0.5?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 2898.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 33*l - 3. Let m be h(2). Let q(o) = o**3 + 10*o**2 + 27*o + 99. Let w be q(-9). Let c = w + m. Solve c*f = -2*f - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12793*u**2 + 7653*u**2 + 5120*u**2.\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 872 + -877. Which is the third biggest value? (a) 2.3 (b) 0.1 (c) -0.1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 20. Suppose m*n - h = 19, -3*h = n + 4 - 24. Let x be (-220)\/3*(-6)\/5. Calculate the highest common divisor of n and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/6 + 446*m**4\/3 + 52193*m**3\/3 - 35242*m**2 + 35391*m\/2 = 0. What is m?\nAnswer: -753, -141, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**6\/120 + k**4\/12 + k**3\/6 + 161*k**2. Calculate t(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -661, 1 in ascending order.\nAnswer: -661, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/23 + 30514\/259578\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 22*n + 113. Let s be f(9). Put 2, -451, s in descending order.\nAnswer: 2, s, -451","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 3. Suppose 0 = -23*q - 73 - 19. Let i be (7 + q)*(-5 - 13\/(-3)). Sort s, 5, i in descending order.\nAnswer: 5, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -72 + (0 - -31)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1993, -1843, -1705, -1585, -1489, -1423, -1393, -1405?\nAnswer: -1465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*y - 44, y + 1 - 13 = x. Let d = 109 - 69. Suppose -4*l - y + d = 0. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*m + 4564 - 1030 = 57*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 h, and 1 r when four letters picked without replacement from {a: 5, g: 1, r: 1, h: 1, c: 4}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/2313 and 71\/675.\nAnswer: 173475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 7*f**6\/80 + f**5\/6 + f**4\/4 - 6*f. Let z(x) be the third derivative of r(x). Is z(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 3*p - 4*p)*(-97092*p - 2*p**3 + 97092*p - 29*p**2).\nAnswer: -2*p**4 - 29*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 4*b**2 - 2*b - 2. Let p be c(5). Let j = -8 + p. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545804224987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -13. Suppose m = 2*n + 5 - 47. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + 11*y + 2. Let b be d(-10). Let k = b + -82. Let a(g) = -8 + 22*g + k - 2. Let q(s) = 2*s. Determine q(a(n)).\nAnswer: 44*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srpsmrsmqqssqpshrs. Give prob of picking 1 h, 1 m, and 1 s.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1185*427\nAnswer: 505995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 31861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*a + 6. Let b = 2 + a. Suppose w - 11 = b. Solve 4*x = -0*x + w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**5\/11 + 2*j**4\/11 + 10*j**3\/11 - 2*j**2\/11 - 16*j\/11 - 8\/11 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 68\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 72.73045ms?\nAnswer: 0.07273045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-28))\/(3\/((-3)\/(-2) + -3))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*b. Let u be 18\/(-10) - (-2 + b). Let r be (-4 + 2 + 1)\/(-1). Is r at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 + -0.151879?\nAnswer: 106.848121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z**3 + 3*z**3 - 9*z**3)*(-3*z - 2*z + 2*z) as q*z + i*z**4 + w + g*z**2 + c*z**3 and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -270645806*r**4 - 2*r**2 + 41*r + 1524897 wrt r.\nAnswer: -6495499344*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y**5 - 3130*y**4 - 134498*y**3 + 888620*y**2 - 660725*y - 90250 = 0 for y.\nAnswer: -95, -2\/17, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 56176147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058527 times 4.79?\nAnswer: -0.28034433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1216)\/304*(-1)\/218.\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -53, 2, 36794, 4 in descending order.\nAnswer: 36794, 4, 2, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b - 23*b + 6 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4)\/o*(o**(-2)\/o*o)\/o*o**(-5)\/o*o**(-4)*(((o**(-2)\/o)\/o*o*o)\/o**(-1\/4))**(-2\/9) assuming o is positive.\nAnswer: o**(-317\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/7)\/p)**40*(p**(1\/16)*p*p)\/p*p*p*p**(-1\/7) assuming p is positive.\nAnswer: p**(-4793\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (1 + 1) - 8) + -4 + -7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -82*u**6\/5 - u**5\/10 - u**3\/2 + 57*u**2\/2 - 585*u. What is the second derivative of y(s) wrt s?\nAnswer: -5904*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52654168157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3 = 0, 8*b - 9*b + z = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2413515 - -23?\nAnswer: 2413538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 465 and 930.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 5:41 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2313277\/23 greater than or equal to -100576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1160 and 52200.\nAnswer: 52200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 27.2.\nAnswer: 8.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 18\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15939 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/11, -435081, 5 in decreasing order.\nAnswer: 5, 1, -2\/11, -435081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 42*z**2 - 48*z + 1631. Is x(75) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113021 (base 4) in base 10?\nAnswer: -1481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66.8 - -394.9. Let o = m + -462. Sort -4\/27, 3, o in decreasing order.\nAnswer: 3, -4\/27, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4563007 (base 8) in base 16?\nAnswer: 12e607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Let o = 0.03 + 2.97. Let k = b - o. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yeyeyeeeyyyyyy. Give prob of picking 4 y.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7 + -6.7. Let t = f - -5. Let p(c) = 4*c**2 + 81*c - 60. Let k be p(-21). Put -5, -1\/5, k, t in increasing order.\nAnswer: -5, -1\/5, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.41, -10\/9, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16553 + 148924\/9. Calculate the common denominator of 17\/405 and q.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 2*m**2. Suppose 0 = k - 3 - 1. Suppose 7 = -o - 0*h - h, 33 = -k*o - 5*h. Let g be r(o). Solve 3*n - 9 = -g*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 14 = -2*k, k + n = -2*k + 9. Which is the second smallest value? (a) k (b) 0.1 (c) -1\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m - 2. Let q = 19 - 10. Let l be (-1)\/5 + (-63)\/35. Let w(a) be the second derivative of 2*a**3 - 9*a**2\/2 - 43*a. Give l*w(y) + q*g(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*g**2 + 816*g**2 - 2 - 91*g**2 - 176*g**2.\nAnswer: 404*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9*s - 23. Let f(x) = 6*x + 15. Let u(c) = -8*f(c) - 5*v(c). Let r = -13 - -8. Let g(h) = -h - 1. Give r*g(p) + u(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/2555136 and -113\/29952?\nAnswer: 33216768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -9*v - 1 + 0 + 3. What is the units digit of w(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -3 - (-10 - (-2 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(3\/5)*x*x)\/x*x*x)\/(x**(-8)*x))**(3\/7) assuming x is positive.\nAnswer: x**(174\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3560?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 7)*6\/(-15). Suppose 4*d - 72 = -4*k, -g*k + 21 = -0*k - d. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 103*y - 2. Is b(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 - -8. Let m = -103.18 - w. Let r = m + 2.1800157. Round r to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -151 divided by -36\nAnswer: 151\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8777485?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**7\/70 + a**3\/3 + 3*a**2\/2 - 1. Let p(n) be the second derivative of v(n). What is the derivative of p(r) wrt r?\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000 + -101110000110?\nAnswer: -101111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.370072 greater than 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1621 + 103 = -7*o + 1079. Calculate the least common multiple of 21 and o.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 3. Suppose -4*g = g + 25. Let x be v(g). Is x at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-364)\/(-18) - 6\/27. Let d = -18 + y. Is 5 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38416 and 1477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6)\/((-2)\/(-141)). Let z = -283\/6 - h. What is the biggest value in z, 0.02, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 3. Let m(q) be the second derivative of -q**3\/3 - 3*q**2\/2 + 171*q. What is -3*b(l) + 2*m(l)?\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(49)*2)\/sqrt(7) + sqrt(63)\/sqrt(1089) + ((2*sqrt(378))\/sqrt(6))\/(-3*sqrt(144)).\nAnswer: -1 + 127*sqrt(7)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14319139139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36639 and 4904847.\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1179219, 1179206, 1179177, 1179126, 1179047?\nAnswer: 1178934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45872330 divided by 3661.\nAnswer: 12530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**5\/60 + h**4\/3 + 2*h**3\/3 - h**2. Let m(g) = -2*g**2 + 3*g**2 - 2 + 6 + 9*g. Let q(i) = 5*d(i) - 4*m(i). What is q(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598786 is divided by 113.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-15093)\/360)\/43 - (-6)\/10\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(84\/(-1820)*5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1181*x + 2899*x + 2025*x.\nAnswer: 6105*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -136117, -136142, -136205, -136324, -136517, -136802, -137197?\n\"Answer: -3*a**3 - a**2 - a - 136112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 557 + 463 = 34*u. Let r be 65\/15 - (-1)\/(-3). Suppose 2*n = -2*q + 50, 2*n - r*q = n + 35. What is the least common multiple of u and n?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4065*p**2 + 10*p + 12. Let k be l(8). Let s be -3 + k\/(-28688) + -2. Let d = s + -13\/652. Find the common denominator of d and -47\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 11:34 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 455 - 2048 + y. Let k(m) = -m - 1594. Let t(v) = -7*k(v) + 6*x(v). Let n be t(0). What is n rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 32, 4, 188 in decreasing order.\nAnswer: 188, 32, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 10\/23, 3 in ascending order.\nAnswer: -4, 10\/23, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 = -14*w + 7 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-22*21\/28). Let r = 6 - 1. Which is the third smallest value? (a) o (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + sqrt(567)*-2)*1.\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 9.5. Let b = 6 - y. Sort b, 1\/3, -0.4 in decreasing order.\nAnswer: b, 1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.246 and 0.3?\nAnswer: -0.0738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4*-26\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -75528 + -1?\nAnswer: -75529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 8, -3, -2, 5, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 13325195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {a: 6, d: 1, w: 1, n: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 300*n**2. Let s(d) = -11527*d**2. Determine s(g(z)).\nAnswer: -1037430000*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-9) + (-1)\/(-18)*-34.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 227428807831923*o**2 + 104482452*o + 12 = 0.\nAnswer: -2\/8706871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -28, 2 in descending order.\nAnswer: 2, 0, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - -15231055?\nAnswer: 15231041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -4\/19 (c) 0 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-28) + 30\/(-105). Find s, given that 1\/4*s**2 - d*s + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.295706724 to 2 dps.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + (0 + sqrt(1573))*-4 - (-3 + (sqrt(1573)*2 + sqrt(1573))**2).\nAnswer: -14154 - 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.85 - -1.95. Which is the third biggest value? (a) -5.3 (b) -1\/8 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150600 rounded to the nearest 1000?\nAnswer: 151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 275875 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*h + 290*h - 4 = -3*g, 2*g + 9 = -3*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w - 15*w = 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -26*((-10)\/(-4) + -2). Let t = d - -19. Let u(p) = -p**3 + 6*p**2 + p + 7. Is u(t) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5935162*j**2*l**2 - 12*j*l**2 + 496095*j*l + l**2 wrt j.\nAnswer: -11870324*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -201*x**5 + 3*x**4 + 41*x**2 + 20.\nAnswer: -12060*x**2 + 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202 (base 8) to base 11.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzdydddyz. What is prob of picking 1 z and 1 y?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from koguku. What is prob of sequence gu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h + 23. Let z be (10\/6)\/(-2*1\/(-6)). Let g be b(z). Suppose -g*r + 162 = 3*x, 0 = r - 4*x - 40 - 29. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-459)\/(-255) + (-3)\/(-45)*3 - 5. Which is the closest to 0.1? (a) m (b) -5\/2 (c) -0.5 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 - (-5 - -3)*-1. Let a = 4 - h. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 41\/2 (b) 2176\/105 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42\/4*122\/183. Solve -10*h + 17 = f - t*h, -5*f - 3*h = -37 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -208*z + 1425. What is t(8)?\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170240929?\nAnswer: 53, 3212093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 10 = -7585*n + 7574*n + u, n = -u + 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-776 - 22414 - 11713 + 35 - 11433 + 6419)*(-4*n**2 - 2*n**2 + 2*n**2).\nAnswer: 159528*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2\/5*d**5 + 6\/5*d**4 + 16\/5 + 14\/5*d**3 - 22\/5*d**2 - 12\/5*d = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -88?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*((-5)\/3)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dergegedgdc. What is prob of sequence eded?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106 - 110. Sort -2\/13, 1, v, -0.6 in ascending order.\nAnswer: v, -0.6, -2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 109*z - 670. Calculate m(15).\nAnswer: 965","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56899612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5010.475l to millilitres.\nAnswer: 5010475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 7*c - 9. Let d be a(-7). Let i be 280\/450 + ((-4)\/d)\/(-2). Is 0.09 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = 3*d + d. Suppose 73*k + 72 = 71*k. Let c = k - d. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 158 (b) -1 (c) -2 (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -386 + 450. Let w = -8 - -16. Calculate the highest common divisor of w and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 4*d - 5*v, -3*d + 0*d - 108 = -3*v. Let p = -20 - d. What is the remainder when p is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -1186 in increasing order.\nAnswer: -1186, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -a - 12, -2*d = -2*a - 12. Solve -d*u - 8 = 2*u + 4*j, 5*j = 2*u - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5*k + 14 = 0, -y + 5*y - 4 = k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/11 or -5?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68200728.\nAnswer: 2, 3, 19, 149563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 4*l**2 + 7*l - 10. Let p be m(5). Let x = p + 3. Suppose -x*u - 2*u = -45. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 111210.1 and 8.\nAnswer: 889680.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 8*a - 12. Suppose 709*s - 23 = y + 705*s, 6*y = s + 46. What is c(y)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1903694, 3807382, 5711064, 7614740, 9518410, 11422074?\n\"Answer: -3*n**2 + 1903697*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3209 - 118729\/37. Is k bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 277, 373, 447, 493?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1338\/(-24))\/((3\/20)\/(-3)). Let a = n + -795. Does 20 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from xlllx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7 + 5 - t**3 + 3*t**2 - t + 2*t**2. Does 9 divide a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 44 + 24. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/5100120 and 127\/2266720?\nAnswer: 20400480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 91866259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4 - ((-11891)\/46)\/47. Solve -5*d - 15 = r*y - 5*y, -3*d - 9 = 3*y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 8. Let t be (-1 + m)\/2*-12. Is t smaller than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000081663 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1019*w = 3*l - 1015*w - 14, -4*w = -3*l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**3 - 7*b**2 + 2*b + 5. Let g(y) = y**2 - y. Calculate -2*g(k) - w(k).\nAnswer: -4*k**3 + 5*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/7*7 - -13. Suppose -h - 3*h = -12. Let g(s) = 6*s**2 - 6*s**3 + 8*s**h - s - 3*s**3. What is g(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -108885*z - 125. Let b be y(-25). Round b to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8970, 18629, 28970, 39987, 51674, 64025, 77034?\nAnswer: 90695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -11*y**3 - 3*y**2 + 3*y + 2. Is q(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38741 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 8*i - 25 = 4*i, 3*i = 3*r + 15. Let n(s) = -s**3 - 7*s**2 - 4*s + 36. Let c be n(r). Suppose -4*o = -3*o. Sort o, -5, c.\nAnswer: -5, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(68)\/sqrt(4))**2 - (-1 + sqrt(153) - sqrt(153)).\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -114 + -25?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*2\/80)\/((-1)\/(-10))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u - 5. Find the third derivative of -4*t**2 - u*t**5 + 3*t**5 + 3*t**2 wrt t.\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/41 + 49\/164. What is the common denominator of 7 + 0\/2 - 11968\/1152 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.52 - 15.52. Is q at least as big as -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 4 (c) -6 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 = 0, 4*b = -d + 993 - 68. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32048839 divided by 779?\nAnswer: 41141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5)*(-5)\/(-11). Suppose -492*q - 160 = -524*q. Let u = -9 - -5. Which is the second biggest value? (a) -1\/4 (b) q (c) r (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 - 14*f. Let g(n) = n**2 + 3*n. Let v(k) = 3*c(k) + 14*g(k). Let y(p) = -21*p. What is v(y(d))?\nAnswer: 882*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + p + 67. List the prime factors of i(0).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2. Let k(z) be the second derivative of 499*z**3\/6 - z**2\/2 + 588*z. What is s(k(a))?\nAnswer: 747003*a**2 - 2994*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263563 is divided by 131721.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -400579\/1388910 - 1\/6910. Find the common denominator of 19\/33 and a.\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4\/7, -2.1, -1 in descending order.\nAnswer: 1, 4\/7, -1, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-12) + 5\/(20\/14). Let f(q) = -q + 8 + 0*q - 2*q + 4*q. Let d be f(-4). Is l less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(3) - sqrt(12)) + sqrt(3) + -5 + sqrt(12)\/((sqrt(20)*-2)\/sqrt(5)).\nAnswer: -5 + 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222 = -113*b + 22*b + 859 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*(-15)\/(-450))\/(4\/(-48))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/2)\/(1 - 1 - -1). Let c(y) = 5*y**3 - 5. Let v(q) = -2*q**3 + 3. Give h*v(m) + 3*c(m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 164.33758 to the nearest integer.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13340*p**2 + 21097 wrt p?\nAnswer: 26680*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 - 28*d**2 + d + 19. Let o be s(-14). Factor o*q**2 + 100 + 178*q - 371*q + 148*q.\nAnswer: 5*(q - 5)*(q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/2*5\/15. Let f(n) = -5*n**3 - d*n + 11*n**2 + 4*n**3 + 7 - 17. Is 10 a factor of f(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 3. Let o be j(-4). Suppose s + 2*v - 11 = -3*v, 10 = 5*v. Calculate the greatest common divisor of o and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/(14\/(-8))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -68720 divided by -16\nAnswer: 4295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f - 403 + 144. Let t = 40 + f. Let m be (-2)\/2*(t - 13 - -5). Which is the second biggest value? (a) 0.2 (b) -0.1 (c) -5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -413330, -413339, -413348, -413357?\nAnswer: -413366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3 (b) -2 (c) 1\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275828, 551672, 827536, 1103420, 1379324, 1655248?\nAnswer: 1931192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -4, 4648133, -0.3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -152 + (-3 + 60\/21)*-7. Let s = c - -156. Let j(x) = x**2 - 7*x + 6. Calculate j(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2224859436 to the nearest integer?\nAnswer: 47168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*g**6 + 50440*g**4*x - 27968*g**2*x - 3*g**2 - 5*g wrt g.\nAnswer: 1680*g**3 + 1210560*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13328)\/490 + (-33)\/(-15) - -121. Find d such that -3\/2*d**2 - 24*d - o = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24560 by 5.\nAnswer: -4912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*5\/(40\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3768 divided by 471\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in centuries?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*s + 259*s - 4256571 = -930255. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-4 - (-1 + 16)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 11 = -w, 0 = 3*h + 2*w - 0*w + 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.049 and -7.18346754885?\nAnswer: 8.23246754885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 (base 5) in base 6?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 25 = -5*c, 3*c + a - 7 + 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/3))**(-48)*t**(-14)\/t**(2\/23) assuming t is positive.\nAnswer: t**(-1060\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 694887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**2)*g*g**(5\/4)*g**(-1\/2)\/(g**(1\/2)\/g))\/((g**(-2\/7)*g*g)**(-20)*g**(-1\/11)\/(g*g**(-2\/9)\/g)) assuming g is positive.\nAnswer: g**(106457\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 41 - 38 = 0. What is the third biggest value in q, 0.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2. Let q(h) be the first derivative of -328*h**2 - 683. What is s(q(i))?\nAnswer: -430336*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.77 + 0.23. Suppose -4*t - 31 = 3*p, -3*t - 10 = p + 7. What is the third biggest value in 1\/6, p, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Let s(i) be the third derivative of 17*i**7\/2520 - i**5\/60 - 22*i**2. Let c(k) be the third derivative of s(k). Calculate f(c(a)).\nAnswer: 68*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20360*j = -20265*j + 1124 + 2126 + 1310 for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.2 (c) 0.3 (d) -312 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/37)\/(v\/(v\/((v*v\/(v\/(v**(1\/3)\/v)*v))\/v))))\/(v**(3\/11)\/((v**0\/v)\/v)) assuming v is positive.\nAnswer: v**(-707\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 4*r**3\/3 + r**2\/2 + 29*r. Let g = 23 + -21. Suppose g*z = -5*z + 7. Give v(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 9*v**2 + 13*v + 7. List the prime factors of u(10).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1448 + 3.8552. Put -14, j, -1, 2\/5 in descending order.\nAnswer: j, 2\/5, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*q = -27, -2*q + 3*q = 2*m - 60. What is the remainder when 199 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 1, 4.7, -4?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 9:47 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 12*b**2 - 2*b - 16. Let r be d(-12). Let i = r + 4. Suppose -l - i = -30. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5223?\nAnswer: 3, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -21*q**4 - 45*q**3 - 6*q**2 + 12*q + 6. Let v(y) = -20*y**4 - 44*y**3 - 7*y**2 + 12*y + 5. Let t(j) = -5*u(j) + 6*v(j). Suppose t(z) = 0. What is z?\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddzzzdzddzdddzz. Give prob of sequence zdd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2337 and 1312?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -2*t. Suppose 2*y + 2 = t. Suppose y = 3*i - 2. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/147580 and -59\/41410948?\nAnswer: 207054740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 13*b**2 + b + 19. Let a be (-14 + 1)\/(7 + -6). Let g be y(a). What is the highest common factor of g and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35774425 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o**5*o*o)\/o*o*o*o**2)**(-4\/11) assuming o is positive.\nAnswer: o**(-48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 + -8)*(-9)\/(63\/238) is divided by 43.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1501 - 1499. Solve -3*y = 4*w - 7, -i*w - 2*y + 10 = 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1457, 0, -1, -644, -4 in increasing order.\nAnswer: -1457, -644, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0019 + -0.4.\nAnswer: -0.3981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*x + 16 = 0, x = -0*v - 2*v + 4. Solve d - 2*d - 1 = v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 168*l**2 - 728*l + 684. What is y(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -265\nAnswer: 2\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 12*f**2 + 11*f - 13. What is m(-13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 5*n**3)*(-3 + 3 + n) + (2 - 6 + 5)*(0*n**4 - 2*n**4 + n**4) + (-6*n**2 + n**2 - 5*n**2)*(n**2 + n**2 - n**2 + (-3*n - 2*n - 2*n)*(0 - n + 0)).\nAnswer: -76*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + 82*s - 818. Determine y(29).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*p + 378, g - 195 = 2*p - 80. Calculate the highest common factor of g and 968.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 96544395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1020211 (base 3) to base 13\nAnswer: -553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 110714*t - 2215089. Determine w(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1576?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 780*w - 5995. Let l be v(8). Solve l*u - 236*u = 36 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1284.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 190 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 118 + -84. What is the remainder when 98 is divided by t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 1:59 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2, -1\/4, 1\/2, 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 46*g + 81. Let s be k(21). Let p be (-2)\/15*s\/(-2). Which is bigger: p or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*1\/4*4. Suppose 0 = -y*d + 20 + 20. Let a(v) = 3*v**2 + 34*v - 5. Let q be a(-15). What is the greatest common divisor of d and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 6, 0, -5, -1, 106 in descending order.\nAnswer: 106, 6, 0, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -11*j - 577. Let n be w(-53). Calculate the highest common divisor of 750 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a week in minutes?\nAnswer: 4410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72138804*p**2 - 259*p + 97286?\nAnswer: 144277608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 3303311?\nAnswer: -3303322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 29154*p - 84516. Let i(j) = 2424*j - 7043. Let g(l) = 2*f(l) - 25*i(l). Differentiate g(x) wrt x.\nAnswer: -2292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1942380467?\nAnswer: 9431, 205957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 123880*l**2 - 123871*l**2.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288711 is divided by 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/72 - (-195)\/(-27) - -2. What is the second biggest value in -0.3, 2\/11, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 16*k**2 - k. Let n be s(1). Let c be (-6)\/n - 5228\/(-20). Calculate the greatest common factor of 29 and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7688, 15366, 23044, 30722?\n\"Answer: 7678*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g. Suppose 5*d - 139 = 1571. Let r(h) = -342*h + d*h + h**2. What is s(r(t))?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 75 = 285. Find the second derivative of -s**3 + 46*s**4 - s - u*s**4 - 34 - s**3 wrt s.\nAnswer: 132*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 2. What is z(6)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1871469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 - -3.2. Let v = -0.3 + 1.3. Let h = 6 - 8. Which is the third biggest value? (a) h (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1228.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.98 + 0.02. Let q = -0.13 + 0.03. Suppose 5*o + 8 = 2*y - 0*y, 4*o + 3*y = -11. Which is the closest to o? (a) x (b) q (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 162, 579, 1712, 3921, 7566?\n\"Answer: 60*h**3 - 2*h**2 + 3*h + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -10. Let s = -92.38 - -97. Let x = -3.42 + s. Which is the second smallest value? (a) -0.1 (b) x (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 7*b = -288. Calculate the remainder when b is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2))**(-7)\/(c**(1\/4))**(-20) assuming c is positive.\nAnswer: c**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 146.1679 - 0.0679. Let y = t - 3.1. Let j = y + -143.00266. Round j to four dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -96633 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6529 - 0.0171. Let x = r + 1.27. Let z = -1\/21 - 11\/63. Sort z, 2\/9, x, 1.\nAnswer: z, 2\/9, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, k: 2, j: 3, d: 2, w: 4}. What is prob of sequence kwkd?\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 16*c - 5. Let t be j(-15). Suppose -y - t = -8. Put 4, 5, y in increasing order.\nAnswer: y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 + 161966*k\/3 - 38595632\/3.\nAnswer: -2*(k - 80744)*(k - 239)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -0.1. Let g be (-3 + (5 - 2) - -3)\/1. Suppose 2*x + m = -1, g*x = 2*x - m + 2. Sort d, x, 0.3 in descending order.\nAnswer: 0.3, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3992 divided by 17?\nAnswer: 3992\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1165 + -1166)*((-3)\/(-4) - 9\/4)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*f**4 - 8541*f**2 - 656916*f?\nAnswer: -168*f**2 - 17082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14220 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 3*u + 2*u)*(-30 - 33 + 121).\nAnswer: 116*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32535.1 and -1174.\nAnswer: -38196207.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 + 18571*q - 6 - 5 - 27 in the form s*q + r and give s.\nAnswer: 18571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*q - 19 = 0, 2*w + 5*q + 8 + 3 = 0. Suppose 2*t - 5*t - w*d = -10, 3*d - 9 = -3*t. Solve 0 = t*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**5\/5 - 5*v**4 - 50*v**3 - 250*v**2 + 7*v. Factor r(l).\nAnswer: -4*(l + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 123 = 13. Let j(n) = n**2 - 8*n + 10. Let z be j(7). Suppose 0 = 5*i + v - d, -5*i = -z*i + v - 13. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 410, 852, 1302, 1760, 2226, 2700, 3182?\n\"Answer: 4*q**2 + 430*q - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*x - 45662090 = -2*p, -x = -3. Suppose 25*w + 2006048 - p = 0. Round w to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1131806785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 11*g - 9*g. Suppose -2*z - 5*k - 7 = -76, 5*z + g*k = 150. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -3*o - 31, -6*o = u - 3*o + 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 128426200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 110 (b) 81 (c) -3470\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -40. Let c be (50\/(-20))\/(2\/d). Calculate the highest common factor of c and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160427195033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 4. Let c be (18\/i)\/((-1)\/(-4)). Does 5 divide (-60)\/(-9)*c\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/(2\/(-16)). Let i be (2 + 1)\/(3\/(-4)). Let b = w - i. Solve b = n + n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 58*j**3 + 2*j**2 - 18*j + 20. Does 52 divide i(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44070768*d**3 + 457*d**2 + d - 73249?\nAnswer: 264424608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j. Let c(a) = 19515*a**2. Calculate c(l(o)).\nAnswer: 312240*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17920\/112 + -156 + (-1210)\/303?\nAnswer: 2\/303","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 105\/(-45)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 132 - 117. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0621 times 0.06\nAnswer: 0.003726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2\/21, -2\/7, -0.78 in descending order.\nAnswer: -2\/21, -2\/7, -0.3, -0.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -136 + 2*n + 47\/3*n**3 + 1\/12*n**4 + 2209\/2*n**2. Suppose x(k) = 0. What is k?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -452*l**2 + 30*l + 2. Let r(y) = -149*y**2 + 11*y. Let g(q) = -2*o(q) + 7*r(q). Find the second derivative of g(s) wrt s.\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355756939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -c79 (base 15) to base 6\nAnswer: -21010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3501 + -24496\/7. Calculate the common denominator of u and -139\/354.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4) + ((-750)\/8)\/(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (1 - 3 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*x + 55 = -x, -v - 4*x + 6 = 0. Let l = 9 + -5. Suppose 0 = -l*i + v - 2. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 70972 and 70972 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence den when three letters picked without replacement from dreni.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, z: 5, a: 8}. Give prob of sequence annn.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdaa when four letters picked without replacement from bdbbabbdad.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 493 = 4*p, 0*j = -j + 2*p + 101. List the prime factors of j.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((16\/56)\/(88\/(-64526)))\/((-1)\/382) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 3*d = 4*c + 1238, -259 = -d - 3*c. Is d a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.659076 millilitres to litres.\nAnswer: 0.009659076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 2)\/(1\/(-4)). Suppose 4*t - 84 = -3*o + 2*t, 0 = -2*o + p*t + 72. Calculate the highest common factor of 20 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 408.\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 490202752 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**3 - 5*i**2 + 502*i - 38776.\nAnswer: 6*i**2 - 10*i + 502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.64889 + 4.35341. Let o = h - 5. Round o to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10064*x + 18558 - 52194 = 1655*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 4*m + 40 = 4*i - 11*i, -5*i - 3*m = -44 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 363539, 1454136, 3271803, 5816540, 9088347, 13087224, 17813171?\n\"Answer: 363535*g**2 - 8*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3641 (base 16) in base 4?\nAnswer: -3121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 - 69. Let q be (-1)\/(-2) - (-11)\/r. Let k(n) = n**2 - 4*n + 9. Let c be k(4). Calculate the greatest common factor of c and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/8 + 2395\/20. Let d = -88 + i. Calculate the greatest common factor of 224 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**7*t*t**(-1)*t\/t**(1\/5)*t**(-4\/5) assuming t is positive.\nAnswer: t**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 1:59 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.7, 2, 0.5, 76, 16\/3, -5\/2?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = r - 27. Let p = 64 - 55. Calculate the highest common factor of p and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.23 - -0.07. Let f = -403\/5 - -81. Suppose -2*l - 10 = 0, 20 = -2*u - 5*l + l. Which is the nearest to u? (a) q (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**3 + 65392*t**2 - 915782*t + 3205580 = 0.\nAnswer: -32710, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 2220?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 188567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + 0*s + 3*s)*(15*s**2 - 9 + 9*s - 21*s**2 - s**2) to u*s**3 + g*s**2 + t*s + x and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -403160810 by -13.\nAnswer: 31012370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7248459 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8782?\nAnswer: 2, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1113 (b) 3\/2 (c) -0.043 (d) -1 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 10:39 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1793 divide 1087115019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 239234287?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1255*r + 1542*r + 2124*r - 98851 = 0 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/573 and 43?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 smaller than 29965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 q, 1 s, and 1 g when four letters picked without replacement from nqtsggnnnntg.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**5 - 124*q**4 - 11414*q**3 + 23656*q**2 + 34944*q = 0.\nAnswer: -52, -1, 0, 3, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.17 - 0.03. Which is greater: -2\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 981 in 7, 1\/4, -1\/2, 1, -16\/5, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 525066314370 and 5.\nAnswer: 525066314375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -236*y**2 + 4*y**5 - 25*y + 236*y**2 wrt y.\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25623 - -7?\nAnswer: 25630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -29443 - -5.1?\nAnswer: -29437.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -102400341 (base 5) to base 2\nAnswer: -1101010000100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times -0.04\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 3*o - o)*(o**2 - 4*o**2 - 21*o**2).\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 greater than or equal to 91681\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 225 + -224. Let g = 677 + q. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7335 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -5640 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*c - 4991 = 0, 2 - 12 = -2*c. Let t be (-10)\/(-1) + (-13 - -10). Is n\/(-14) + (-3)\/t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.16402 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(2\/5)\/b))\/b**(-2))\/((b*b**(-3\/10))\/(b**(-5)*b)))\/((b**(-1\/6)*b\/b**(1\/5))\/((b**(-7)\/b)\/b*(b*(b*b**(-1\/7)*b)\/b)\/b)) assuming b is positive.\nAnswer: b**(-1037\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1053) + sqrt(1053) - sqrt(1053))**2 + sqrt(91)\/(sqrt(7) - (sqrt(7) - sqrt(28))).\nAnswer: -179*sqrt(13)\/2 + 1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-5)\/(-75) + (-980)\/50 - -4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125273729 rounded to the nearest 100000?\nAnswer: -125300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 = 8. Let m be (7\/(-5) - 2\/(-5))*l. Let g = 0.138 + -0.438. Which is the nearest to -0.1? (a) 7 (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1 - 0 - (1 - 3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 - 106300*a**2 + 212615*a - 106310.\nAnswer: -5*(a - 1)**2*(a + 21262)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 19011980.\nAnswer: 57035940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5001199 to the nearest 1000.\nAnswer: 5001000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7824.6754 + 7783.6754085. Let z = 41 + y. What is z rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083323.\nAnswer: 19, 23, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 17 + -1 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1301051578.\nAnswer: 2, 1459, 445871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6142 or 1?\nAnswer: -1\/6142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - r. Let o(n) = 12*n**2 - 11*n. Let x(q) = -2*o(q) + 22*u(q). Let h(t) = -81*t**2. Calculate h(x(y)).\nAnswer: -324*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a minute in seconds?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2 - 1 + 4 + 11*d. Let x be l(1). Suppose 2*j = 23 + 25. Calculate the greatest common factor of j and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20652181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9021388?\nAnswer: 2, 97, 23251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/2)\/(a**(-3\/16)*a*a))\/((a\/a**13)\/a)**(-40) assuming a is positive.\nAnswer: a**(-8373\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7322304?\nAnswer: 2, 3, 11, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + (-2)\/(-6))*(-40 + 40) + 3. Solve -c*l - 3*z + 7 = -2, 0 = -4*l - 3*z + 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 10) to base 14.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) 3\/13 (c) -269 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21221 (base 3) in base 6?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22145.77kg to nanograms.\nAnswer: 22145770000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001292 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 11 + 12 + -34.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 140964 divided by 2?\nAnswer: 70482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 25*j + 25. Let p be m(-12). Suppose d = -p*d - 1918. Let o = d - -290. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-6)*(-1752)\/64 and 79\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 1 + 4. Calculate the lowest common multiple of x and 14 - (0 + 4\/1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324510 divided by -3?\nAnswer: 108170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 3025*a + 2156228. Determine g(1150).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 3*s**2 + 3*s + 2. Let r be c(-3). Let u be (-1)\/(2 - 0) - (-91)\/26. Put r, -5, u in descending order.\nAnswer: u, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -7*x + 2*x. Suppose 0 = 2*h + 3*h - 50. Suppose -2*b + 16 = 2*n, 3*n - 8*b + 4*b - h = 0. Which is smaller: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1185010 and 427060.\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7987 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1654 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 10:50 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 12\/1085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100589?\nAnswer: 17, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*j - 6 = 43*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 62. Let m(a) = -a**3 + 10*a**2 + a - 16. Let g be m(c). Let r be (-10)\/25 - g\/15. Solve 2*q + r = -2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 1345.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/149846655 and -59\/441?\nAnswer: 449539965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-396) - (0 + 2\/(-12)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 350890 and 1880?\nAnswer: 65967320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8*s**3 + 9*s**2 - 8*s - 5. Suppose 2*d - 4 = -0*d. Let i(r) = -2*r**2 + 1 - 5*r + 4*r + d*r**3 + 6*r - 3*r. What is 2*b(c) + 9*i(c)?\nAnswer: 2*c**3 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/9 + 383966*q\/9 - 10380204 = 0. Calculate q.\nAnswer: -192226, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 - 15*m**2 - 42*m.\nAnswer: 3*m*(m - 7)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22304, -44904, -67794, -90974, -114444, -138204?\nAnswer: -162254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 4. Suppose 5 - 37 = -4*h. Let f(y) = 4*y - 12. Let d(v) = h*o(v) + 3*f(v). Suppose 4*n - 4 = -r - 16, 0 = -4*r. Give d(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/9)\/y**(1\/8))\/(y**4*y*y**(6\/11)))**(-25) assuming y is positive.\nAnswer: y**(116675\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - l**2 - 107*l + 332. What is x(3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/10 - (-13860)\/(-12600))*((-50)\/35)\/(-2)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 + 4)\/((-4743)\/(-5355)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144565141 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(672)\/sqrt(6)*4*3 + -5*(sqrt(7) + 2) + -3 + sqrt(21)\/sqrt(3) + -4))**2.\nAnswer: -37400*sqrt(7) + 346025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*t = 26, -4*t = g - 2*g + 4. Let h(y) = -3*y**2 + 4*y. Let o(k) = -7*k**2 + 9*k. What is g*o(d) + 9*h(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, y: 4, t: 1, x: 3, o: 2, n: 1}. What is prob of sequence tnox?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-6))\/((-172)\/1806). Let u(r) = -o*r + 45 - 29 - 12 - 24 + 9*r. Let m(a) = -3*a. Calculate u(m(b)).\nAnswer: -6*b - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -21. Let l = -5 - a. Suppose -l = -4*d + 6. Let o(v) = -3*v - 2. What is o(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - f - 1. Let k be i(0). Let x(c) = c**2 - c. Let m(w) = -4*w**2 + 5*w. Let z(j) = k*m(j) - 5*x(j). Let q(h) = 2*h**2. Give z(q(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576 = -b + 5*y - 567, 0 = 4*b - 4*y - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 + r + 1. Let d be k(-1). Suppose 2*b + 4*w + 10 = 0, d*w = w - 10. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a decade in months?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38712 - 38771.3432. Let s = a + 59.4. Round s to 3 decimal places.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -33*r + 267. Let o(t) be the first derivative of t**3\/3 - 5*t**2\/2 + 3*t - 1. Let v be o(r). What is the highest common factor of v and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8451 divided by 2817?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/((-17)\/2 - -6). Let f(u) = -20*u**3 + u**2 - 3*u - 1. What are the prime factors of f(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 200*c + 4 - 4 - 62*c to the form s*c + a and give s.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -573*a**2 + 14*a - 9. Let n(f) = -2*f**2 - 2*f + 1. Give -8*n(u) - x(u).\nAnswer: 589*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 + 106812*s**3 - 640968*s**2 + 1282000*s - 854688.\nAnswer: 4*(s - 2)**3*(s + 26709)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**4\/12 - 5*a**3\/6 - 41*a**2\/2 + 23*a + 98. Determine i(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 495\/(-6)*3280\/(-6150).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -4, -4\/9, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*t**2 + 23*t**6 - 4*t**6 + 0*t**6 wrt t?\nAnswer: 2280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*r - 30. Let z = -15 + r. Let j(n) = n**2 + 6*n + 4. What is j(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6 = -b. Sort 4, -6, b in increasing order.\nAnswer: -6, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(0*g - 2*g + g) + g - 2*g + 0*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198164 divided by 463.\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 522 - -24010450?\nAnswer: 24011412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.6 or -4038?\nAnswer: -4038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 311\/622*(-18)\/(-4)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 12*g + 11. Calculate i(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*g*p**2*z**3 + 69*g*p**2 - g*p*z**3 + 2*g*z**3 + p*z**3 + 20*z**2 wrt p?\nAnswer: 12*g*z**3 + 138*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 6*m**2 - m - 8. Let q(w) = -4*w**3 + 25*w**2 - 3*w + 24. Let l(u) = 4*d(u) + q(u). What is l(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - ((-132825)\/92)\/(-75))\/(3\/(24\/53))\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 23*z + 18. Let a be s(-6). What is the remainder when 11 is divided by (-54)\/(-15) + 8\/(a\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4328*v + 38948. Give p(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d**29*d)*d*d*d)\/d*d\/(d\/((d*d\/d**(-5\/4))\/d))*d**(-21)\/d**(-21))**7 assuming d is positive.\nAnswer: d**(-665\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 2:30 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4*(-2)\/12*4. Let j be (-6)\/4 - (-11)\/2. Suppose -j*r = r - 5. Sort -6, a, r.\nAnswer: -6, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-547 + 547 + 17*m)*(m - 3*m + 0*m)*((0 - 2*m + 0)*(0 + 0 + 2) - 1 + 1 - m - m - m + m + 2 - 2 - 2*m) in the form n + w*m**2 + s*m + v*m**3 and give v.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a37 + -3b?\nAnswer: 69b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 19*f - 1157. Let m be q(61). Solve -6\/19*s + 6\/19*s**3 - 4\/19 + 2\/19*s**4 + 2\/19*s**m = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3639792 divided by 57?\nAnswer: -63856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4518536 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -517 < 160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 0.06 (c) -1\/9 (d) 0.5 (e) -9\/131 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9442915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 46\/8 + 3\/(-4). Suppose r*a - 83 + 8 = 0. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4 = -4*r, 4*r - 66 = -50. Which is the third biggest value? (a) d (b) 3.9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009336177867 rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1937 = 3*c - 1836, -5*d + 4*c = -9375. List the prime factors of d.\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 452.\nAnswer: 3\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 121110?\nAnswer: 242220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 261, 464, 675, 894, 1121, 1356?\n\"Answer: 4*y**2 + 191*y + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-1282)\/72 - 130\/27495*94)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26711 - -50111. Round r to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = 0, 0 = -2*f - 3*o + 222 - 76. What is the smallest common multiple of f and 110?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7.938 (b) -3\/4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 12*t + 110. Let n be w(-9). Solve n*o - 5 = -3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16812936.34 rounded to the nearest 10000?\nAnswer: -16810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(-3*sqrt(729)) + (sqrt(55) - (sqrt(55) + (-1*sqrt(55) + sqrt(55) - sqrt(55))))\/sqrt(5)*-2.\nAnswer: -55*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1695\/20*((-399)\/63 + -25 + 30).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5 + 19*m**4 - 51*m**3 - 187*m**2 + 50*m + 168 = 0. What is m?\nAnswer: -21, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415*u**2 + 132*u**2 + 137*u**2 + 142*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 123 - 1105\/9. Let m be (5\/(-35))\/(2\/(-7))*564\/658. Which is the smallest value? (a) m (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89969585 is divided by 172.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24.68 - -18.5. Let f = v - -6. Let a = -0.38 - f. What is the biggest value in -0.4, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4214 + 986 = -4*p. Let c be p\/110 - (-4)\/(-22). Let f be 113 - (c\/(-3) - -1). Calculate the highest common factor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 4*h**2 - 1606*h**3 - 2964*h**3.\nAnswer: -4570*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 9:56 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526088 is divided by 65759?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 21. Let c = -16 - a. Let o = c + -4. What is the closest to -0.1 in 5, 3\/8, o?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7*(0 - -1 - 0). Let f be 4\/(-14) - 520\/m. Is (-2 + 15\/6)*f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20441341 (base 5) to base 15\nAnswer: -35c16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-5) + 62\/10. Let p be (1 + 11)*(-5)\/(-15). Solve -p*s - 14 - u = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000098115607 rounded to seven decimal places?\nAnswer: -0.0000981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/7244?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**7\/105 + 3*k**5\/10 - 21*k**4\/4 - 6*k**2 + 9. Find the second derivative of h(d) wrt d.\nAnswer: 24*d**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-14)\/8)\/((9\/(-4))\/(2061\/(-1832))).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 870, 828, 792, 762?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 0*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/36 and -59\/12268.\nAnswer: 110412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 3*t - 2*t. Let z(f) = -785*f. Let m(r) = 258*r. Let k(a) = 3*m(a) + z(a). Give b(k(s)).\nAnswer: 77*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-840)*-40*2\/(-8).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -28*q**4\/5 + 16966*q**3\/5 + 826176*q**2\/5 + 1943270*q + 689816\/5 = 0?\nAnswer: -23, -1\/14, 652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 2. Let p be h(-7). What is the first derivative of -u**3 - 3*u**3 - 1 - p*u**3 wrt u?\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2166 - -5270. What is the highest common factor of 32 and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from {i: 1, a: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.58 - -85.58. Let t = -84.37 + y. Let g = 2.63 - t. Sort -1, g, 5 in decreasing order.\nAnswer: 5, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -15. Let o(j) be the first derivative of 1\/3*j**3 + 1\/6*j**6 + 0*j + 0*j**2 + 0*j**4 - i + 0*j**5. Find the third derivative of o(f) wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 194.2?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 66.324 and -38086.55.\nAnswer: -38020.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2940) + (sqrt(2940) - sqrt(2940)*-1))\/(-4*sqrt(108)).\nAnswer: -7*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**2 - 45087152*g + 45087156 = 0.\nAnswer: -11271789, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-8))\/5*8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (58 - ((9 - 62) + 25)) + -5\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 - 110 - (0 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (47 + 34 - 43) + (-12 - -1)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b + 17*b + 5*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1094 - -17.908\nAnswer: -1076.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(6 - 488\/80). Let s(h) = -27*h - 228. Let z be s(a). Put -4, 4, z in descending order.\nAnswer: z, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a microsecond in nanoseconds?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 775, 1.9, -3?\nAnswer: 775","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1066, -1055, -1030, -985, -914, -811?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -26. Suppose -2*w + 20 + 74 = 2*s, n = -4*s - w + 191. Let b = s + -47. Solve 3*c = -b + 13, -5*y + 22 = 3*c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 3*v - 1645. What are the prime factors of v?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezrrerre. What is prob of sequence ee?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2*(-5)\/(-5) + (-1779)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 12:19 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.662851 * -0.3\nAnswer: 0.1988553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -15.31. Let b = i + 0.69. What is the nearest to -1 in b, 3, 8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.7 - -2.6. Let f be (-110)\/120 - (-2)\/3. Which is the closest to x? (a) f (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2 + 35712*x - 71434. Calculate a(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -63. What is the highest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1, -0.066, -2.\nAnswer: -4, -2, -1, -0.066, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1746 divided by 194\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18 - 19)*((-26 - -5) + (1 - -3)). Let p be 11\/2 - 2\/4. Solve 2*g - 4*g - 3*c = -x, -p*g - 4*c = -25 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 101202, 101203, 101204?\n\"Answer: d + 101201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 2*r + r)*(-3*r + 3*r + 3*r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2 - 60*c**2 + 5 - 3. Suppose -5*g - 2040 = -29*g. Let a(x) = -g*x - 87*x - 88*x + 261*x. What is l(a(t))?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4933 (b) -3 (c) 1\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k**(2\/5)*k))\/k)**(-17))**(-13\/6)\/((k\/k**0*k*k*k)**(6\/37))**5 assuming k is positive.\nAnswer: k**(-9977\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -11*w - 10*w + w**2 - 5 + 42*w - 17*w + 2. Suppose 3*q - 17 - 7 = -2*i, 16 = 4*i - 2*q. Let l(c) = c**2 + 4*c - 4. Calculate i*y(o) - 5*l(o).\nAnswer: o**2 + 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 212274384 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, -2, 37 in increasing order.\nAnswer: -8, -2, 0, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -1. Suppose -4*q + 3*q = -u. Suppose 5*m + 0 = -3*n + 3, 0 = -4*n - 16. Put q, m, -2 in increasing order.\nAnswer: -2, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 213 (b) -2\/11 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - v - 5. Let k = -5 + 5. Suppose k = -3*q - q. Suppose 5*y + 10 = q, -5*b + 3*y + 4 = y. Calculate w(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -47*p + 1715. Calculate b(36).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -216 - -221. Let r be ((-2)\/(-5))\/(2\/(-10)). Which is bigger: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.66592 rounded to two decimal places?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**3 - 2*q**3 + 0*q**3)*(105*q + 59*q + 22*q) + 5*q**4 + 10*q - 10*q.\nAnswer: 749*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100 - -89. Let m = 47.3 + -47.2. Which is the second smallest value? (a) -2 (b) m (c) 5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -99*b + 25*b + 21*b + 22*b + 30*b. Let q(m) = -13*m**2 - 3*m. Calculate q(l) - 5*u(l).\nAnswer: -13*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*n - 33*n - 4*u = 20, -n - 31 = 5*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 222 - -184. Suppose -3*x - 23 = 15*l - 20*l, -21 = -5*l + x. Suppose -134 + d = l*w. What is the lowest common multiple of 22 and w?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 4. Let n(w) = 4*w + 33. Let q(u) = 3*u + 27. Let x(g) = 4*n(g) - 5*q(g). What is 3*o(y) + 2*x(y)?\nAnswer: -y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 1\/2*t**3 - 1\/6*t**4 + 0 + 3*t + t**2. Let l = -178 - -181. Determine q(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 12:22 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -453384 by 463.\nAnswer: -453384\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 3)*(-2 - 2 + 3) - 6 + 3 + 1)*(-t + 0 + 0).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4. Let b(f) = 4*f**2 - 3*f**2 - 1 + 6 + 0*f**2. Give -4*b(d) - 5*l(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 10:40 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axxxaxxxx. What is prob of sequence xxax?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 204 + -186. Suppose -1732 = -4*q + 4*m, -4*q + 2179 = q + 2*m. Let p = q + -291. Calculate the highest common divisor of j and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c + 26 = -5*s + 10*c + 1, 18*c + 70 = -79*s + 71*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*x = 2*i + 24, 2*x - 5*i = 16. Suppose -19 - 5 = -x*n. Suppose 2 - 1 = -2*b + n*r, -r = 2*b - 3. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23, -6, 11, 28, 45?\n\"Answer: 17*z - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/(-26)*(-1456)\/224. Solve -15*x - n = -11*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(180) - sqrt(10)\/(sqrt(8)\/sqrt(4)).\nAnswer: -25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*d - 68455641 = -49*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*c = 755, 4*i - 4*c = 2*i + 506. Which is bigger: 256 or i?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 1:13 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or 18?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*k - 3*k + 23316. Is -804 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199876 is divided by 33297?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 299739.714435 - -0.285565. Let y = q + -299724.7141. Let a = 15.3 - y. What is a rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 3:24 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-1)\/2 + 6. Suppose -i*w = -7*w. Is -1\/4 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*x = -8030, -8034 = -8*c + 5*c - 3*x. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*s - 1 - 3*s - s**2 + 7*s)*(1 - 4 + 0) to y + c*s**2 + w*s and give w.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 112643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-1) - (-32 - 21). Suppose 12*f + z = 21. Is -1*(f - 0) + (497 - -29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 10:00 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 391, 405, 431, 475, 543, 641, 775?\n\"Answer: d**3 + 7*d + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25706 (base 10) to base 6.\nAnswer: 315002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 19*t + 1. Let a(y) = 272*y + 14. Let r(c) = -3*a(c) + 42*f(c). Let l(g) = -2*g + 1. Let q be l(-1). Let i(d) = 0*d - q*d + 0*d. Give i(r(m)).\nAnswer: 54*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 7\/54 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i*l**2*w**2 - i*l**2*w - 606294*i*l*w**2 + 20*i*w - 8*l**2*w + 2*l*w + 12*l - 5*w wrt w.\nAnswer: -6*i*l**2 - 1212588*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735901.\nAnswer: 735901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 10*a + 6. Let r be z(-11). Let y(i) = -2*i**2 + 2*i + 3. Let s be y(3). Let p = r - s. Solve 8 = p*b + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3488 - 2195. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 22 = -2, -5*p = 3*m - 31. Find z, given that m*z + 2 - 4 - 2*z**3 + 4 + 2*z**2 - 4*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 112200200022?\nAnswer: -112200200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2766 - -2766. What is the second biggest value in o, -2\/5, -34?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2103 is divided by 92?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exfoe. What is prob of sequence exof?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 2*q**2 + 25*q + 5. Let i(t) = 32 - t + 5*t - 3*t - 4*t. Let w be i(4). Is o(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((1 - 9 - 1) + -178 + 191).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 m when three letters picked without replacement from wmmwmmwm.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + sqrt(1872) + 0 + sqrt(1872))**2.\nAnswer: 384*sqrt(13) + 7552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 40826*f - 244907. Calculate q(6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12475 - -7.239.\nAnswer: 12482.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p + 4*z - 40, 3*z = 4*p - 135. Let v be (36\/(-15))\/(9\/p). Let b = 35 + v. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -39\/176 = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 215 = -5*z, 46*l - 47*l = 5*z - 175. List the prime factors of l.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 3*a**2 + 2*a - 1. Let f be x(-4). Suppose -2*p + 1 = -f. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*y**2 + y**2 + 0*y**2 + y**2 as r*y**2 + d*y + o and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14 - 4)*1 - (0 + 5). Solve -l + 3 = -5*f, -p*l - 9 = -8*l - 3*f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**4 - 4*l**2 + 1 - 3*l**2 + 2*l + 6*l**2 as w*l + m*l**2 + x + p*l**4 + v*l**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18515*u - 3*f = -18520*u - 36, 0 = -16*u - 5*f - 86 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -36*q + 45*q. Suppose 3*w = -3*w + q*w. Solve -6*k + 9*k = w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 7:40 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f. Let l be (40620\/(-28))\/(-5) + 1\/(-7). Let r(t) = -3*t**2 + l*t - 290*t. Give z(r(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = u - 0*z, -u - 4 = 2*z. Solve 7 = -5*f + u*c, -21 = 3*f + 2*c - 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4013b5 (base 13) to base 16.\nAnswer: 16b498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/(7\/28*-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-8)*(75 + 1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -254 smaller than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5525 - 3303. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h - 53. Let r be g(-8). Sort r, -11, -4.\nAnswer: -11, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.152 + -0.152. Which is the nearest to m? (a) 2\/27 (b) 1\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2*3)\/3 + (-113152)\/56608. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 440 and 2090?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1.0000026. What is f rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 369 times -0.34\nAnswer: -125.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwkkhhkkdhwwhwvwhq. Give prob of picking 1 h and 1 w.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 32\/5 of a kilometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 11*n**2 + 17*n + 218. What is p(-13)?\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9918443 not equal to 9918450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -26.\nAnswer: 17\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - 0.3. Let c = 4 + -4.08. Let h = 0.42 - c. Sort h, 4, b in descending order.\nAnswer: 4, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41121572*v**3 + 1943*v - 3923 wrt v.\nAnswer: -246729432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 - 93 - 249*y**3 - 595*y**3.\nAnswer: -844*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567383 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30727 by 12.\nAnswer: 30727\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 10:08 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2384 by -2.\nAnswer: -1192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/(-63))\/5*21\/6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -89 (b) 2\/31 (c) -5 (d) -0.1 (e) -72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 13*x**2 - 14*x + 3. What are the prime factors of f(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -178. Let r(k) = -127. Let d(t) = -5*l(t) + 7*r(t). Let j(n) = n - 13. Calculate -5*d(y) - j(y).\nAnswer: -y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, c: 3, d: 2, u: 2}. Give prob of picking 2 u and 1 o.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 624 = -50*d. Let l be 3 + (512\/24)\/d. Let 1\/3*q**2 + 4\/3 + l*q = 0. Calculate q.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/(-21) - (-489)\/(-56) and -26\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-32)*4\/66.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 7 - (14 + -14 - -10)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*i**4 + 58*a**2*i**3 - 684*a**2*i**2 + 9360*i**3 + 331*i**2 wrt i?\nAnswer: -24*a**2*i + 348*a**2 + 56160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w - 3 + 4*w + 0*w + 2*w**3 + (2*w**2 + 0*w + 0*w)*(7*w + 10 - 10) in the form o*w**3 + p + a*w**2 + c*w and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 11*v + 10 - 62 + 17 + 5*v**2 + 15 to o + d*v**2 + k*v and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021120 - 2020212212221?\nAnswer: -2020211121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10*o - 4*n = -33, 0 = 4*o + 5*n + 51. Let d be (-5 - -2) + o\/(-3). Solve l - 3 + 0 = d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28498 > 28407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000025241 to 7 decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11951 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4696885, 4696887, 4696889, 4696891, 4696893?\nAnswer: 4696895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00875929 rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 5*z**2 - 3*z - 9. Let c(g) = 1777*g - 6. Let x be c(0). Give w(x).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 635, 5205, 17643, 41891, 81891, 141585, 224915?\n\"Answer: 657*c**3 - 8*c**2 - 5*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 - 36*f**2 + 28*f + 525. Calculate u(-21).\nAnswer: 2583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 631880, 631877, 631874, 631871, 631868, 631865?\n\"Answer: -3*f + 631883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -2*a**3\/3 + 3*a**2\/2 + 31*a - 15. What is the remainder when z(0) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29525 or -27512?\nAnswer: -27512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 272*q**2. Let n(j) = -125054*j**2. Calculate n(i(s)).\nAnswer: -9251995136*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 divided by -20115?\nAnswer: -662\/20115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 6*r**2 + 38*r - 23. What is x(11)?\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1416 and 44283432.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-24))\/(2\/51). Let q = b - 12. Solve -4*u - f + 0 = -3, -5*u + q*f + 35 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*d**5 - 38*d**2*s**2 + 127*d*s + d + s**2 wrt d?\nAnswer: -160*d**3 - 76*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 78*k - 58 + 153 + 1021*k - 95. Let c(i) = -i**2. Give c(q(t)).\nAnswer: -1207801*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 + 68*c\/7 + 578\/7.\nAnswer: 2*(c + 17)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**4\/6 + 5*v**3\/3 - 4*v**2 - v + 6. Let i(r) be the first derivative of m(r). Factor i(u).\nAnswer: -2*(u - 4)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 3*z = -4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t + 1040. Calculate the highest common factor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -19 (c) -2\/9 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5359 divided by 5359?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w**3 + 3*w**2 + 2*w - 2. Let l be c(-2). Let i = 25 - l. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49361, 394896, 1332777, 3159176, 6170265?\nAnswer: 10662216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 6 - 15 - 8 + j + 9939*j**2.\nAnswer: 9939*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 24*z**2 - 47*z - 59. Is r(26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5210 divided by 133?\nAnswer: 5210\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12 + (-4469)\/451 + (-1)\/11. Solve a = 2*k + 3*l, -15*k - 4 = -19*k + 3*l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7 - 1 = 0. Let b be ((-1)\/(-3))\/(64\/1344). Let j be ((-34)\/(-6) - -2) + (-12)\/18. Solve 4*n - j = -b*l + 6*l, u*l = n - 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-7 + 3) - (-181 - -204).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 483936529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 520*n + 5. Let t(d) = 10*d. What is t(f(m))?\nAnswer: 5200*m + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(-3 + sqrt(3)) + 0.\nAnswer: -sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**6\/2 + 11*n**2 + 4*n. What is the derivative of k(o) wrt o?\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 19929*l. Let p(z) = -6*z**2. What is i(p(b))?\nAnswer: -119574*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/162744 and 73\/583166.\nAnswer: 6997992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 382 + 4?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*i - 113*i + 241*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 81*g - 5. Let u be k(4). Suppose 49 = 3*o + 3*s - 263, 287 = 3*o - 2*s. Suppose 4*x + o = u. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2086100 to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*k**4 - 2*k - k**3 + 0*k**2 + 0*k**2 + 22*k**4 - 26 as o + m*k**4 + p*k**2 + g*k**3 + c*k and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 86160 and 165.\nAnswer: 947760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 44, 94, 184, 326, 532, 814?\nAnswer: 1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -1 (c) -412\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238993620 to the power of 1\/3, to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5661 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o**2 - 5 - 2*o**2 + o - 2. Let d(c) = -6*c**2 - 6. Suppose 3 = 2*r + 13. Let l(m) = r*d(m) + 4*q(m). Factor l(p).\nAnswer: 2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 3*z**2 + 2*z - 3. Let x be v(3). What is the derivative of -2*d**x + 9*d**3 - 7 - 9*d**3 wrt d?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeye when four letters picked without replacement from yjeeeyeyeey.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3097.\nAnswer: 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s + 3*s + 5*s**4 - 20 - s**3 - 4*s + 3*s + 11 in the form f*s**2 + v*s**3 + c + g*s**4 + k*s and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09624 and 0.3.\nAnswer: -0.028872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -10*g + 7. Let y(v) = -10*v + 8. Let d(w) = 7*h(w) - 6*y(w). Let l(o) = -o. What is -d(j) + 5*l(j)?\nAnswer: 5*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -2\/29, -1, 2954?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 i when four letters picked without replacement from {i: 9, a: 11}?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7578 - 7577.6. Let d(v) = -11*v**3 - v**2. Let a be d(-1). Suppose -11 = -3*k - 2*k + 2*f, 0 = 5*f - a. Sort -2\/15, o, k.\nAnswer: -2\/15, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1455*z - 815. What is the hundreds digit of x(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sg when two letters picked without replacement from mgmggsi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -185 + 214. What are the prime factors of x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42564844?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*p**5 + 0 + 2\/7*p**4 + 0*p**2 + 0*p + 0*p**3.\nAnswer: 2*p**4*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {w: 2, y: 6, p: 7}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rkrmrmrmmkrkrrk.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -3 (b) 4 (c) 14 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.8825kg in micrograms?\nAnswer: 76882500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38506479?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 1492703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/751 + 14289\/15020. Calculate the common denominator of r and -23\/68.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, -43 in ascending order.\nAnswer: -43, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -664 + 322 + 41*r + 291 as g*r + a and give g.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3333303 (base 4) to base 15\nAnswer: -4cb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/((-342)\/12) - 116\/6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8370396 or -1\/88?\nAnswer: -8370396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 2 - 2)*(-554 - 29 - 674 - 1284 + (1 - 1 - 1)*(-3 + 0 + 5) + 6 - 5 - 3).\nAnswer: 5090*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -95, -978, -2443, -4484, -7095, -10270, -14003, -18288?\n\"Answer: z**3 - 297*z**2 + z + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 713336 (base 13) in base 7?\nAnswer: 31252334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 743547797 to the power of 1\/4, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 384\/(-96)*(-40)\/880. Factor -58\/11*q + n*q**2 + 56\/11.\nAnswer: 2*(q - 28)*(q - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 34 = 6*v, 533*v + 2*l + 193 = 567*v - 75 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.753 + 0.171. Let c = 223.0766 + -222.6. Let h = m + c. Round h to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaapp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001197 to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*n - 4*p + 75 = -130*n, 3*n = -5*p + 204. Solve 2*k = -3*j - 62 + n, 5*k = -2*j - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 63*a - 6 + 51*a - 16*a.\nAnswer: -28*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o - 1. Let m = 2 + 11. Suppose 9*h - 5 = 4*h - k, 4*h - k - m = 0. Calculate i(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -771, -807, -889, -1041, -1287, -1651, -2157, -2829?\n\"Answer: -4*a**3 + a**2 - 11*a - 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 + 57 + 2*d)*(-1 + 0 + 2)*(414*d - 515*d + 5007*d + 2782*d).\nAnswer: 15376*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1)*v*v**(4\/11))**(-37)*(v\/(v\/(((v\/v**(-1\/3))\/v)\/v)))**20*(v\/(v*v*v**(3\/5)))\/(v*v**(-3\/5)) assuming v is positive.\nAnswer: v**(-2171\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -58.\nAnswer: 22\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - i + 6. Let d be r(0). Suppose 0 = -27*k + 4281 - 933. List the prime factors of ((-15)\/(-10))\/(d\/k).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*q + 4*n, q + 4 = -0*q - 2*n. Let g be 0\/(4\/q - 3). Solve -l = -g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 78.7, 13997, -4?\nAnswer: 13997","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 2*n**2 + 4*n + 15. Let q be m(4). Is q > -2\/719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**4\/12 + u**3\/3 + 3*u**2\/2 - 6*u. Let s be r(-5). List the prime factors of s\/(-24)*72\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3118 + 2*h - 6064 + 2946 + 2*h - 2*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -13338700 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllllllllllqlllll. What is prob of sequence llq?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 948 and 168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 21 - 11 - 12*q to s*q + x and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -15. Let h = 5 + -11. What is the units digit of (-6)\/s*16\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 2 + 0 - 3*o)*(7 + 6 + 4 + 2 + 3 - 3 + (5 - 1 - 2)*(2 - 5 + 1) - 4 + 11 + 1) to a + b*o and give b.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -947 + 959. Let z be (6 + 0)\/((-24)\/(-12)). Solve -6*y = -z*y - s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 650 and 855725.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28236904 to the power of 1\/2, to the nearest integer?\nAnswer: 5314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*s**3 - 7*s**4 + 337223*s**5 + 4*s - 337231*s**5 + 8*s**4 + 228*s**2 wrt s.\nAnswer: -480*s**2 + 24*s - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3971064 and 867?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1194 + 1198. What is the fourth smallest value in -4, 2\/13, i, -16?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**0)\/s*s)**32 assuming s is positive.\nAnswer: s**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 96\/(-24)*190\/(-5510)\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 - 5 + 5 + (-3 + m**2 + 3)*(-1 + 0 + 2) + 2 + 2*m**2 - 2 - 6*m**2 - 2*m**2 - 15*m**2 to the form r*m + o*m**2 + z and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476*o - 472*o = -2*q - 6, -5*q - 15 = -2*o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 191\/5 + 0 + (-14)\/70.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*k = -9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 112454615 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*u**2 + 2*u**3 - 10*u**3 - 1 + 71*u**2 - 6*u**3 as l*u + d*u**2 + p*u**3 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 50230791 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154 by -3.\nAnswer: -154\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (80\/56)\/(3\/63)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 2*m - 3, -16*y + 19*y - 9 = -m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5220 * 0.2.\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 10 + -34 + 16 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d - 5. Let l(z) = 14*z - 8. Let p = 9 - 4. Let g(i) = p*l(i) - 8*h(i). Let b(o) = -2*o**2. Give g(b(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19402 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471038824.\nAnswer: 2, 107, 550279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2*l + 11127 - 160063, -3*v + 2*l = -111706. List the prime factors of v.\nAnswer: 2, 3, 5, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*q - 23106 = -16587 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -632554*v**2. Let w(i) = 644*i**2. Give g(w(z)).\nAnswer: -262342915744*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3023 - 12332?\nAnswer: -3303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-9)*195\/(-260)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1041913 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 11:18 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2 = 12. Let t be (3\/f)\/((-12)\/(-16)). What is the first derivative of 3*x + t - 3*x - 2*x**2 wrt x?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 5*z - 6 = 0. Let l(y) = 6*y**2 - 18*y - 94. Let i(u) = 2*u**2 - 9*u - 39. Let r(h) = -5*i(h) + 2*l(h). Determine r(z).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.098595kg to nanograms.\nAnswer: 98595000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x**2 + 27 + 5*x**2 + 2 - 2 in the form q*x**2 + c + b*x and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1196365214 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 4\/7, -285, 0.4, 3\/4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -353, -4, 1, 0 in descending order.\nAnswer: 1, 0, -4, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*n - 34 = 0, 5*d + 52 + 25 = 3*n. Let r = -8 - d. Suppose -r = -4*w + 2*w. Solve 0*l + w*j - 17 = l, 0 = 4*l - 5*j + 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 3. Suppose 5*m + 11 = -4. Let z be v(m). Put -3, 4, z in ascending order.\nAnswer: -3, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 0*k - 5 + 1\/2*k**4 + 0*k**2 - 1\/3*k**3. What is the third derivative of p(w) wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20*(1520\/150)\/(-76)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 918050 and 58050.\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 829073101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 12:00 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 608490269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -408, -814, -1224, -1638?\nAnswer: -2056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22168, -22170, -22172, -22174, -22176?\n\"Answer: -2*x - 22166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a microsecond in nanoseconds?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-435660)\/(-16))\/((-1035)\/(-72) + -14). Round d to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-3)\/(39\/(-26)*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 2*d + 25. Let y be 71\/12 + ((-5543)\/(-276) - 20). What is f(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l, -4*v = -6*l + l + 172. Let c = 118 + v. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/288 and 127\/12326520?\nAnswer: 147918240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/10)\/(11\/(-5005)*13)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020677 rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 - 20*t - 24. Let v be c(-8). Solve 0 = -7*u + v*u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 361144 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 0.798, 3 in decreasing order.\nAnswer: 3, 0.798, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6300191*r**3 - 12600394*r**3 + 6300197*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -37. Let j(k) = k - 80. Let g(s) = -6*j(s) + 13*q(s). Let i be 4\/(-16) + (-60)\/16. Let c(d) = 13*d + 2. Calculate i*c(u) - 9*g(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -11 = -7548\/701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 105522270.5 to the nearest one hundred thousand.\nAnswer: 105500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.873 + 0.373. Which is the fourth biggest value? (a) t (b) 3\/5 (c) -2 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5246742461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7360 - 7360 + 65*o**2 - 54*o**2.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4741632 divided by 384.\nAnswer: 12348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56122?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 minutes after 12:31 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 746717599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.29 + 0.19. Which is the closest to -1? (a) 2\/21 (b) -2\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8702)\/824 - 4)\/2. Let r = d - 87\/103. Find the common denominator of -63\/20 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**6\/30 + f**4\/2 - 2*f. Let o(g) = -3*g**4 - 17*g**2. Let v(i) = 6*o(i) + 17*w(i). Factor v(x).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 19 - 5 - 326246*p**3.\nAnswer: -326246*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11715 divided by 4\nAnswer: 11715\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(117) + -1*sqrt(117)*6)*1)\/((-1*sqrt(9072))\/(sqrt(21)\/(sqrt(3)*-2))).\nAnswer: -5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 519 a factor of 296319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 2, b: 3, e: 1}. What is prob of picking 3 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67936661 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 7*b**4\/4 + 7*b**3 + b**2 - 502*b - 1. What is j(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-315))\/((-2)\/(24\/(-2)))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/19 in -2\/9, 0, 0.566, 0.1, -1\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - x + 33. Let q be b(0). Let n = 42 - q. Suppose -4*r + 17 - 5 = 0. What is the highest common factor of n and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1032 + 0?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 7. Let f(k) = k**2 - 3*k - 1. Calculate f(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -258865, -30, 5 in increasing order.\nAnswer: -258865, -30, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.0877\nAnswer: -0.01754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98395 and 177111.\nAnswer: 885555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-34)\/(-3) + (-14)\/(-21). Let k(r) = r**3 + 13*r**2 + 4. Let f be k(-13). Let q be (f\/n)\/(2\/12). Solve -2*b + 0 = q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -1436?\nAnswer: -1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1216 + 10946\/9. What is the closest to -1 in k, 4\/7, -20?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 546\/(-143)*(-24)\/(11136\/319)?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -89*h**4\/2 - 7*h**2\/2 + 2*h + 2. Differentiate t(c) with respect to c.\nAnswer: -1068*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11192618 and 74?\nAnswer: 414126866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 329425+0.081\nAnswer: 329425.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (44\/10 + -5)*-2 + 0. Solve -4\/5 + 6\/5*j**3 + 2\/5*j**2 + 2\/5*j**4 - o*j = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*z + 32713, 11*s - 15*s + 5*z = -130896. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239408, -478765, -718110, -957449, -1196788?\nAnswer: -1436133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2768 (c) 0.4 (d) -0.5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/119 - -347\/595. Let p(t) be the second derivative of -1\/2*t**4 + t + 3*t**2 + i*t**5 + 0*t**6 - 3\/2*t**3 - 1\/14*t**7 + 0. Solve p(j) = 0 for j.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 18*k + 44 - 20 - 24 = 2*p, -7*p + 7*p = 3*k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7945, 0.02, 0.\nAnswer: -7945, 0, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 16, -2\/13, -0.2, 4, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/2299 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(20\/(-8)))\/((-35)\/(-25)). Let p = 791 + -786. Which is the biggest value? (a) p (b) n (c) -1\/11 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2033558, 3, 1 in descending order.\nAnswer: 2033558, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37270193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2999, 23925, 80685, 191183, 373323, 645009?\nAnswer: 1024145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-3\/31)*((v**(-3)\/v)\/v)\/v*v*(v*v**(2\/117))\/(v\/(v\/(v*v*v**8*v))*v))**(-5\/12) assuming v is positive.\nAnswer: v**(67490\/10881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1821 times -0.4\nAnswer: 728.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of (-3 - -309)*((-6)\/(-4) - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/((-7)\/(-336)*-4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 8*c - 1. Let a(s) = -s**2 - s - 1. What is -3*a(p) - d(p)?\nAnswer: 3*p**2 - 5*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*v - 13. Let g(w) = 7*w**2 + 6 + 4*w + 0*w - w**3 - 4*w**2 + w**v. What are the prime factors of g(4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2016491 is divided by 81?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -371513344 greater than or equal to -371513344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9691 + 1.0309. Are -22.4 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -351, 3, -758, 0 in decreasing order.\nAnswer: 3, 0, -351, -758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-145)\/(-11) + (-208)\/1144?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7763 = 8*f - 5461. Suppose f = 8*n - 1259. What are the prime factors of n?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 30, 3 in descending order.\nAnswer: 30, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -2. Let o be 372\/(-28) + 4 + 9. Sort 4, s, o in descending order.\nAnswer: 4, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**3 + g**3 - 2*g**3 + 10 with respect to g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.231, 3\/4, 6, 2, 39.3?\nAnswer: 1.231","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvv when three letters picked without replacement from {v: 5, z: 2, n: 3}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 7*u**2 + u + 3. Let p be (10\/(-5))\/(2\/(-7)). List the prime factors of g(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(320) + 2 + (-6*2*sqrt(320) + sqrt(320))**2 + sqrt(320).\nAnswer: 16*sqrt(5) + 38725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106730388845 + -0.2.\nAnswer: 106730388844.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bemmbmemmemd. Give prob of picking 2 m.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 40*x - 17*x. Let v(m) = -m + 3 - 9 - 5. Let o be v(x). Let q(u) = -3*u**2 - 5. Let s(w) = -3*w**2 - 6. Determine o*s(p) + 6*q(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1291920 divided by -3845?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*g, 2*g + 2 = -w - 0*w. Let l(o) be the third derivative of 0*o**3 + 1\/40*o**6 + 0*o - w*o**2 - 1\/8*o**4 + 0*o**5 + 0. Solve l(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 270302 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - 2*v + 3*v + (-2 - 2*v + 2)*(33 - 321 - 144) as j + b*v and give b.\nAnswer: 863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2172525 divided by -26175.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.359 * 0.12443.\nAnswer: -2.40884037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -36147000 rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**3 + 47*p**2 + 37*p + 278. Give x(-23).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34016 - -34226.51. Let n = 210.01018 - b. Let g = 0.5 + n. What is g rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -3*y**6\/2 + 12*y**5\/5 + 3*y**4\/4 - 2*y**3 - 7. Factor v(q).\nAnswer: -3*q**2*(q - 1)**2*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -423*k + 409*k + 178472. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxk when three letters picked without replacement from vjxxfuvk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*x + x - 68, -2*t + 5*x - 48 = 0. Suppose 18*g - 19*g + 28 = 0. Let c = t + g. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*d**3*h - 15*d**3 - 5*d**2*h - d**2 - 3*d*h + 62*d + 2*h - 2 wrt d?\nAnswer: 168*d*h - 90*d - 10*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.924625 rounded to two dps?\nAnswer: 46.92","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**8\/28 + 7*b**4\/6 - b - 6. Let g(u) be the first derivative of j(u). Find the third derivative of g(r) wrt r.\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7677727 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*y**2 - 7*y**2 + 3*y**2)*(-2*y + 0 - 4*y**2 + 0) - 16*y**2 + 16*y**2 - 3*y**4 - 1 - y**2 - 3*y**4 + y**2.\nAnswer: -30*y**4 - 12*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 16 - 0. Suppose c*x - x = 4800000. What is x rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6070705 millilitres?\nAnswer: 0.0006070705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3832*a - 869856. Give o(-227).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -15*i - 6. Let y be x(-3). Let m be y\/30 - (-10)\/50. Factor -m*c**2 - 6 - 6*c.\nAnswer: -3*(c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/54 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 334\/285 - 16\/15. Let l = -4.7 + 4.8. Put l, z, -1 in descending order.\nAnswer: z, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. Let p be 12\/(2 + -1) + f. What is the first derivative of -10*c**3 + p*c**3 - 7*c**3 - 2 wrt c?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 12*b - 9*b = 0. Let v(k) = k**3 + k**2 - k + 100. What is the tens digit of v(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329422?\nAnswer: 2, 19, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, f: 3}. What is prob of picking 2 i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1059 + -913. What is the greatest common divisor of 1241 and a?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 165265*i*m**5 + 294289*i*m + i + m**5 wrt m.\nAnswer: 3305300*i*m**3 + 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134097 by -44699.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27211, -27218, -27229, -27244, -27263, -27286?\nAnswer: -27313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/(-140))\/(45\/70). Which is smaller: h or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5cf227 + 2?\nAnswer: -5cf225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -42*p**2 + 42*p + 44. Let r(a) = -20*a**2. Let k(z) = -n(z) + 2*r(z). Factor k(x).\nAnswer: 2*(x - 22)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 174, 186, 212, 258, 330, 434, 576?\n\"Answer: s**3 + s**2 + 2*s + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**2\/2 - d - 2790. Let x(t) = 3*t - 4. Give x(r) - z(r).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + sqrt(294)*2 - sqrt(6))\/sqrt(2) + (sqrt(18)\/(1*(sqrt(6) + sqrt(96))))**2 + 0.\nAnswer: 3\/25 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1) + (-9 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*r - 21 = 0, 0*r + r + 11 = -2*s. What is the remainder when 24 is divided by (-52)\/s - 1\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14212 by 1.\nAnswer: -14212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from kaooak?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d + 24. Let k be w(9). Suppose -k*u + 90 = 12*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddhddhdhdddd. What is prob of sequence dhdd?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2*g**2*y + 464411*f**2*g**2 + 6*g**2 + 35830*y wrt f.\nAnswer: -2*f*g**2*y + 928822*f*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 2*f + 20 = 0, 273*d - 5 = 278*d - f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(1\/5))*n**(1\/3) assuming n is positive.\nAnswer: n**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -281 - -283. Solve -2*h = -o - 0 - 7, -18 = 4*o + a*h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 931, 3769, 8497, 15115?\nAnswer: 23623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 - 2.1. Let y = n + 1.1934. Round y to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1456)\/(-20) - (-10)\/50) + 1620\/90\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 5:18 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 42813148394.\nAnswer: 42813148394.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*q - 2 + 14, -o + 4 = q. Solve o = d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olo when three letters picked without replacement from zzzzoozozooolzolozo?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34838*a*q**3 - 50170*a*q - 19*a - 26*q**3 + q**2 wrt q.\nAnswer: -209028*a*q - 156*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.13 (b) -3 (c) 0.1 (d) 5 (e) 0.4 (f) -59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 - 12*l - 11. Let y be w(10). Let j = 72 - y. Solve 6*i + 22 = -3*t + 4*i, -3*t = -j*i - 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 624531211.\nAnswer: 29, 173, 281, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52844489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2. Let n(d) = 28*d - 8. Let f(z) = 83*z - 27. Let s(p) = -4*f(p) + 13*n(p). What is s(l(o))?\nAnswer: -32*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 9, -51, -5 in increasing order.\nAnswer: -51, -5, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 9:59 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 170*h - 72. Let f(w) = 43*w - 16. Let y(n) = -9*f(n) + 2*q(n). Let a(x) = 2*x**2. Determine a(y(k)).\nAnswer: 4418*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -19*v + 7. Determine q(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -559.6 + -26?\nAnswer: -585.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23220826.\nAnswer: 2, 11610413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 8. Let q(x) = 2*x + 8. Let i(u) = 4*q(u) - 3*t(u). Determine i(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 92, -3, -15855, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1451656, -1451569, -1451506, -1451479, -1451500, -1451581, -1451734?\nAnswer: -1451971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3535*i - 38756 - 8098 = 42027 + 17169 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -0.3, 0.3, 7, -221\/3 in descending order.\nAnswer: 7, 0.3, -0.04, -0.3, -221\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 333 and 2220.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 328847159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 15*c + 25. Let f be m(-5). Suppose -5*y + 20*y - 60 = f. Solve -2*v = -6, -g - 5 = y*v - 17 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 253, -959, -1 in increasing order.\nAnswer: -959, -1, 4, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - k + 3*k + 10 - 10. Let a(w) = -w**2 + 10*w + 4. Let f be a(10). Suppose -5*h = 21 + f. Determine o(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (2022\/4)\/(18\/48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 1883 = 3517. Let r = t + -529. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 35405*q - 35406.\nAnswer: (q - 1)*(q + 35406)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 551151*y**2 + 264066*y wrt y.\nAnswer: 1102302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 7:16 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 5*n + 5, -2*l + 0*l - 3*n - 6 = 0. Suppose 0 = -3*m + r + 62 + 39, -2*m = l*r - 49. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11 - r - 20 + 11. Let z(a) = a**3 - 5*a**2 + 3*a + 2. Let y be z(4). Let u(j) = j**3 + 2*j**2 + 3*j + 2. Let s be u(y). Calculate k(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3 - (16032\/1260 + -13).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8819.234 nanoseconds to seconds.\nAnswer: 0.000008819234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**7\/q**(-2))\/((q\/(q**3*q)*q*q)\/(q*q**(-2\/9))))**(-4\/19) assuming q is positive.\nAnswer: q**(-388\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 + -141. Let l = 3 + -2. Which is the second smallest value? (a) m (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/10)\/((-2)\/5). Let d(w) = 43 - 10*w**2 + w**3 - 46 - 2*w**3. Let q be d(-10). Which is smaller: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 201 - 95. Let n = 106.000129 - z. Round n to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b + 32*b - 5*s = 18, -5*b + 3*s = 6. Suppose 4 = j + 3. Put j, b, 2 in descending order.\nAnswer: 2, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25920 = 106*y + 1514*y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 + 192. Let o = -102.3 + l. Let q = -1 - -2. What is the closest to 1 in q, o, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42243.73 kilometers to centimeters.\nAnswer: 4224373000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/2*-2*(2 - 3). Let f = x - 27. What is the remainder when 16 is divided by 5\/((-2)\/12 - f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.768*-2.\nAnswer: -9.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 - 174 = 3*m + 3*o, -2*o = -m - 7. Do m and -8\/379 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 57806, 57805, 57804, 57803?\n\"Answer: -j + 57807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/7, 1\/3, 39 in ascending order.\nAnswer: -4, 2\/7, 1\/3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 443 = -83. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*q + 9*q**3 + 54*q + 44*q + 2*q**3 + 19*q**3.\nAnswer: 30*q**3 + 26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1507 divided by -6?\nAnswer: 1507\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 450\/7*f**5 - 253632\/7*f**2 - 4096\/7 + 62976\/7*f + 89288\/7*f**3 - 1560*f**4 = 0.\nAnswer: 2\/15, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 717940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8128901*w**2 - 1442943*w - 2?\nAnswer: -16257802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 751 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = n + z, 17*z + 55 + 58 + 39 = -4*n - 18 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11113 (base 6) in base 9?\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114 + 146. Suppose -4*s = -4*w - k, -5*s + 3*w - 4 = -52. What is the hundreds digit of 2127\/s - 18\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68663.\nAnswer: 7, 17, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 64260585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 1 = -3*g, o + 174 = 173. What is the nearest to -0.2 in 3, -4\/5, -7\/6, g?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 77555139?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*(sqrt(40) - ((-1*sqrt(280))\/sqrt(7) - sqrt(40)) - (sqrt(4000)*-1 - sqrt(4000)))\/((sqrt(512) + 2*sqrt(512))*-6 - sqrt(512))*-3.\nAnswer: 69*sqrt(5)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -0.034?\nAnswer: 3.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y**2 - 11*y**2 + 16*y**2 + 158 + 19*y**2.\nAnswer: 34*y**2 + 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*o - 364 = 248 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (60\/70)\/(1\/21). Let a = d - 11. Solve -a = 4*q + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Let d = i - 0. Solve d*r + 8 = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 26 = 3*x - 4*m, -x - 8 = -2*m. Let y = 4 + -1. Sort x, y, -8.\nAnswer: -8, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*sqrt(99) + (sqrt(99) + -4*(sqrt(99) + sqrt(99)*-6) - sqrt(99)))\/((sqrt(288)*2)\/(3*sqrt(72) - sqrt(2))).\nAnswer: 34*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4*18\/(-96)*(704\/36)\/((-250)\/(-75))\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.24839ml in litres?\nAnswer: 0.02724839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3762 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.4 + 4.46. Let q = i - -0.55. What is q rounded to 2 dps?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 2 - 2 + (2 - 2 - 3)*(0 + 0 + 1) + 0 + 3 - 1 + 0 - 2 + 3)*(-h - h + h).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/8)\/(a\/((a**(5\/2)\/a)\/a))*(a**1)**(-1\/13)*((a**0\/a)\/a)**(-2\/13)\/(a**(-1\/5)\/(a\/(a\/a**(-1\/4)))) assuming a is positive.\nAnswer: a**(-101\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*y + 843, 0 = 5*y - 123*x + 122*x - 1387. What is the remainder when y is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {e: 1, y: 7, j: 4, m: 6}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 372 - 214. Let l = -153 + a. What is the second smallest value in -61, -0.5, 0.3, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383625?\nAnswer: 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 + 101. Let v be -1 + (2 - 0 - -6). Suppose v*f - 4*f = 33. Calculate the remainder when b is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - j = y, -5*y - 30 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**2 + 3*f**2 - 3*f - 2*f**2 - 2 - 1 + f**3. Let m be n(4). What is the nearest to 1\/2 in m, -2, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsoq when four letters picked without replacement from {z: 1, o: 1, s: 9, q: 2, v: 6, a: 1}?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m, 5*j - 2*m - 236 - 189 = 0. Let p be (-1 + 2)\/(4\/(-236)). Let v = j + p. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(400)\/(sqrt(200)*-1 - sqrt(8))*-6 + 3.\nAnswer: 3 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 504\/924 - 60\/(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-44)\/(-10) + 6\/(-15). Suppose 3*f = 8 + r. Suppose -a = f*d - 2, d - 9 - 8 = -3*a. Calculate the least common multiple of 8 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 15111*c**3\/2 - 22029*c**2\/4 + 3207*c\/4 + 63\/2 = 0.\nAnswer: -7\/219, 6\/23, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3790019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9486 by 558.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16672374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16062811 is divided by 1696?\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 13*p**3 - 8*p**2 - 508*p + 12. Let k(x) = 11*x**3 - 6*x**2 - 506*x + 9. Let m(q) = -4*k(q) + 3*n(q). What is o in m(o) = 0?\nAnswer: -10, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 23. Let p = -19 + r. Suppose 4*k - 60 = -4*l, p*k + 4 = -2*k. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 19*p + 13. Let s be h(19). List the prime factors of (26\/s)\/((-2)\/(-49)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -266753270*l**4 + 26*l**2 + 54*l - 11935 wrt l?\nAnswer: -6402078480*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/4 - 21307905*o\/4 - 10653951\/2.\nAnswer: -3*(o + 1)*(o + 7102634)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 + 4*l**4 - 3*l**4 + (3*l**4 + 4*l**4 - 5*l**4)*(-2 + 3 + 1) - 2*l**4 + 2*l**4 + l**4 + 6*l**4 - 3*l**4 - l**4 + 0*l**4 + 0*l**4 + l**4.\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 - 145a07b?\nAnswer: -145a095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.032946+3.616\nAnswer: 3.583054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -13. Suppose -5*x + 111 = -0*r + 2*r, 0 = -3*r - j*x + 169. Calculate the remainder when r is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.84842?\nAnswer: 0.42421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 655460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -76, -141, -206, -271?\n\"Answer: -65*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.3, -0.3, 0.1, -5, -0.4, -189707\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -510, -1662, -4784, -10860, -20874, -35810, -56652, -84384?\n\"Answer: -164*a**3 - a**2 - a - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)\/sqrt(6) - sqrt(35))\/sqrt(7) + (sqrt(5) - (-2*sqrt(60))\/sqrt(12)))*-5.\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqb when three letters picked without replacement from {e: 1, q: 2, v: 4, b: 8}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**3\/3 + 3*i**2\/2 - 6*i - 139. Calculate h(6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 499 - 496. Which is the biggest value? (a) -12 (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10249900 a multiple of 900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 196709?\nAnswer: -2\/196709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 x when three letters picked without replacement from kbkkkkkkxbxk?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express x - x - 2*x**2 + 11*x**2 - 1 as b + g*x**2 + a*x and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uoxuoyxnj. What is prob of sequence xoy?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -16. Let b be ((-42)\/s)\/((-3)\/16). What is the highest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 50*s + 0 + 2*s**2 - 3 - 2 - 46*s - 4*s**3. Let w(m) = 2*m**2 - 6 + 4*m - 8*m**3 + m**3 + 2*m**3. What is -6*a(v) + 5*w(v)?\nAnswer: -v**3 - 2*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4210608 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1457 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (2\/2 - -1). Let n be (y + 4 - 0)*1. Let m be 36\/(-48)*-12 + (14 - -2). Calculate the greatest common divisor of m and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*c**3 + 10*c**4 + 4330*c**2 + 8*c**3 + c + 29*c**3 - 4329*c**2 - 8*c**4 + 29 in the form j*c**3 + m*c**4 + p*c + g + o*c**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*f + 4 = -3*c, 2*f - 2*c = 4. Suppose -3*q + 10 = f*q. What is the first derivative of -5 - 2*m**2 + 1 + q wrt m?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/980102 and -85\/346.\nAnswer: 169557646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2441*k = 2464*k - 276 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9*a*a**(-2\/13)\/a)\/(a*a\/(a**(1\/4)\/a)*a*a**5) assuming a is positive.\nAnswer: a**(5\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/6 + 2*c**3 - 7*c**2 + 22*c\/3 - 5\/2.\nAnswer: (c - 1)**3*(c + 15)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus -2182772083?\nAnswer: 2182772083.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 12.35.\nAnswer: 148.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 2 - 31*u.\nAnswer: -31*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -329 + 3649\/11. Let l = m + -232\/77. Let d = 0.054 - -0.046. Which is the nearest to 0? (a) -4 (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 203211 + 82437 = -2*c, 2*c - 2 = 0. Suppose -s = 21*x - 31*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(-2\/11))**(3\/20))**(24\/11))**(-1\/73))**9 assuming y is positive.\nAnswer: y**(-1458\/44165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 30 = 4*i + 4*k, -4*i - 23 = 3*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -17.3. Let k = g + 3.3. Which is the biggest value? (a) -2 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8583 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3, -2 in decreasing order.\nAnswer: 3, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1.1 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - 16*d + 126*d + (1 + 2 - 1)*(3*d + d - 6*d) as y*d + r and give y.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 30. Let y be -1 - 2 - 34\/(-2). Let u = y + -16. Which is the closest to u? (a) r (b) -2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23\/(-7) + (-4)\/(-14). Let a = o - 6. What is the units digit of (-1 + -2)\/(a\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3542 - -81?\nAnswer: 35c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**4\/24 - 7*r**3\/6 + 19*r**2. Let g be k(9). Let m(o) = 35*o + 1. What are the prime factors of m(g)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3645, 3661, 3679, 3687, 3673, 3625, 3531?\nAnswer: 3379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2)*2*(-6 + -7 - -8). Solve w*j + 10 - 25 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-4)*(-996)\/2490?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**3\/5 - 188*t**2\/5 - 4*t\/5 + 188\/5 = 0.\nAnswer: -1, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167 + 203. Let g = -57 + -10. Let p = -13 - g. What is the greatest common divisor of v and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 3) in base 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 27 = -5*o - 0*f, f = 2. Suppose o*g - 1513 = 1272. Suppose 5*p + 545 = 3*u, -g = -3*u + 2*p - 3*p. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -14. Is (-379)\/(h + -1 + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/91*15*351\/(-2430)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -18*8422 - (-10)\/(-25)*10. What is n rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2550 + 1451?\nAnswer: -1077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 21, -4 in increasing order.\nAnswer: -4, -1, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 7:05 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, g: 4}. What is prob of picking 4 g?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 399*y - 391*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900)*-1 - sqrt(36))\/(-2*sqrt(12)*1).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - 1 + 2*t - 2*t)*(-2*t**2 + 2*t**2 + 2*t**2) + 1401 - 1401 + 248*t**4.\nAnswer: 246*t**4 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q - 75. Let c = q - 19. Suppose -4*j = -2*j - c. What is the highest common divisor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 11*i**2 - 13*i + 7. Let s be j(5). Let l = s + -222. What is the third smallest value in -15, 0.3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - sqrt(170)*-2)*-6)\/(sqrt(90)\/(1*sqrt(9)))*-3*2 + 0.\nAnswer: 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-31)\/7 - (-9)\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 19*z**6\/120 - 14*z**3\/3 - 14*z**2. Differentiate s(b) wrt b.\nAnswer: 57*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303822 (base 9) to base 5.\nAnswer: 21230002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-3) - (-4)\/3)*7451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -636604 divided by 5?\nAnswer: -636604\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**5 - d + 1. Let o(y) = -4*y**5 + 5*y**4 + y**2 - 5*y + 18. Let v(b) = o(b) - 5*r(b). Find the third derivative of v(h) wrt h.\nAnswer: 60*h**2 + 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/47 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29421378.\nAnswer: 2, 3, 7, 239, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -34, -67 in descending order.\nAnswer: 5, -34, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 40938.\nAnswer: 573132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/5600595 and -88\/7833?\nAnswer: 5600595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 4670 + 3267 = 149*v + 900 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24950, 99695, 224270, 398675, 622910?\nAnswer: 896975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7*z. Let y = -435 + 433. Let o(h) = 4*h. What is y*p(s) - 5*o(s)?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*y**6 + 9*y**5 - 10*y**4 + 6062*y**2?\nAnswer: 480*y**3 + 540*y**2 - 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -t + 39, t = -4*c - 9 + 48. What is the highest common divisor of 26 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 0*i**2 - 5 + 7 - 3 + i**2. Let p be t(-2). Suppose -r - 1 = p. Which is the third smallest value? (a) r (b) 0.1 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*c**6 + 2*c**4 + 2810*c**2 wrt c?\nAnswer: -2400*c**3 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**3 + 46*a**2 + 6*a + 14. Let b(q) = -q**3 - 15*q**2 - 2*q - 3. Let m(u) = -10*b(u) - 3*l(u). Factor m(v).\nAnswer: -2*(v - 6)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595642.\nAnswer: 2, 431, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31485055 a multiple of 2065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - b + 5. Let l be v(0). Suppose o + l*f = 2, 3*o - 4*f = -1 + 7. Suppose o*i + 2*i - 60 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v. Let g(s) = -49*s**2 - 49*s**2 + 90*s**2. Calculate g(b(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 30.47 times 359\nAnswer: 10938.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 9*z - 9. Let o be i(-7). Suppose 0*l - 10 = o*l. Let v(u) = -2*u**2 - 3*u - 1. Give v(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k + 4*k - 4*k)*(k**3 + 2*k**3 - 5*k**3) + 44*k**4 + 7*k**3 - 75*k**4 + 35*k**4 to y*k**4 + h*k**3 + o*k + z + l*k**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2. Let b(u) be the second derivative of u**4\/6 - 12*u**2 + 193*u. Determine b(p(s)).\nAnswer: 2*s**4 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/31 (b) -1\/439 (c) 2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000560131 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 121\nAnswer: -48\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2715 is divided by 41?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 445*l + 343*l + 2 + 212*l + 0 - 256*l as r*l + o and give r.\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*(-282)\/114210)\/((-1)\/(-6)*2).\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3\/7, 6 in descending order.\nAnswer: 8, 6, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2160692610.\nAnswer: 2, 3, 5, 1229, 58603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98595*m**2*n + 3*m*n - 29*m + 26*n - 2 wrt m?\nAnswer: 197190*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 12:35 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19840571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.831 - -0.031. Let p = 0.2494 + -0.0494. Which is the second smallest value? (a) 0.3 (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 624 and 73570?\nAnswer: 22953840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884630 is divided by 193.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -264.1073764 + 153.1073701. Let v = 111 + m. What is v rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 734 - 731. What is the third derivative of 161*s**2 - 6*s**3 - 93*s**3 + 4*s**2 + 89*s**2 + 6*s**a wrt s?\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 51*d**2 + 1702*d - 88199. Calculate x(49).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 11. Let m be (-82)\/60 - (4 - 6). Let s = -2\/15 + m. What is the smallest value in s, l, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63983 plus -248428834.5?\nAnswer: -248492817.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3240 - -6127. Let l = b - 2849.78. Let a = -38 + l. Round a to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1016, 111535, 1 in descending order.\nAnswer: 111535, 1016, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02, 3, 252025\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, a: 1, b: 2, s: 9, h: 3}. What is prob of sequence hs?\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + -23?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a08 + 93?\nAnswer: 1aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**7*h)*h*h**(-3) assuming h is positive.\nAnswer: h**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(a**4 + 2*a**4 + a**4) + (0 - 1 + 4)*(4*a**4 + 3*a**4 - 6*a**4)*(3 - 2 + 0).\nAnswer: 11*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3923103, 7846211, 11769323, 15692439, 19615559, 23538683?\nAnswer: 27461811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-16)*(-1 + -781). Suppose -14*a - 393 - f = 0. Let l = a - -61. Solve -5*h = l, 2 = 5*t - h - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-9\/10)\/n*n**(5\/2))\/((n*n**(-16)*n)\/n**(-20)) assuming n is positive.\nAnswer: n**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**6 - 2*q**5 - 198*q**3 - 4*q**2 - 8389*q?\nAnswer: -120*q**3 - 120*q**2 - 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 15\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 5*p**2 - 82*p - 1614. Calculate l(0).\nAnswer: -1614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4 - 9. Solve 5 + m = 3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 268, 169, -10, -269?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o**2 - o - 42. Give z(-5).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37668088 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -16, -46, -88, -142, -208, -286?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwrdnnccrnnnor. Give prob of picking 1 n and 1 d.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83908 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*i - 471, -225 = -3*i + 3*r + 90. What is the greatest common factor of i and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -1\/17 (c) 1\/5 (d) -19\/6 (e) -2\/3 (f) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3*y - y)*(-y**3 - 2*y**3 + 5*y**3) - 7068231 - 5*y**4 + 789*y**2 + 7068231.\nAnswer: -7*y**4 + 789*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*u**2 + 40 - 10 - 267*u**2 - 12 - 16.\nAnswer: -287*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2)*-4*1 - -6. Let l(w) be the first derivative of 0*w - 2 - 1\/2*w**2. Let a(y) = 5*y + 1. What is v*l(h) + a(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8*k + 11. Let d(y) = 4*y - 5. Let i be 1 - 3 - (-495)\/9. Let a be ((-4)\/(-12))\/(2\/(1 + i)). What is a*d(l) + 4*o(l)?\nAnswer: 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -671 divided by -5.\nAnswer: 671\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 + 6 + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 + (0 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199 + -144. What is the smallest common multiple of 5 and u?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/125720 and -91\/3790.\nAnswer: 47647880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 246388.17 rounded to the nearest one hundred?\nAnswer: 246400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -211 + 211.4. Let f = 0 + -0.2. What is the second smallest value in j, f, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 71 = 3*u - 2*t, -1 = -t. Let c = 21 - u. What are the prime factors of (0 + 1)*(8 + c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-6*((-49)\/42)\/(7\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 - 59. Which is the closest to l? (a) -3 (b) -0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0 - (0 - 36) - (179 + -170)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1234 and 18.\nAnswer: 11106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -454687\/25 + 18163. Does f = -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18212.1068 + -18222. Let h = 9.8631948 + q. Let t = -0.03 - h. What is t rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*u = -2*i + 7, -5*i = -u - 19. Let t(p) = 2*p + 3. Does 3 divide t(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-888)\/(-21) + (-2)\/7. Let j = -123 + 134. Suppose -j - o = -w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24125816 and 2002.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256927.5 kilograms to tonnes.\nAnswer: 256.9275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*n = -154*n - 15870 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -70. What is the second biggest value in 0.4, -2, 0, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 484508 * 0.3\nAnswer: 145352.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249.6353 days to minutes.\nAnswer: 359474.832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0099059 to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2287*s + 805*s = -57798. Let v = -6 - -22. Calculate the remainder when s is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (790\/237)\/((-88)\/(-528))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1008 - 522 = 0. Let g = y + 511. Sort 13, g, 2.\nAnswer: g, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyy when three letters picked without replacement from {z: 3, h: 6, y: 8}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*t + 4490004 = 0, 8980010 = 5*a - 3*a - 5*t. What is a rounded to the nearest one hundred thousand?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*d + 2*d**3 + 41*d + 4*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vphpe. Give prob of picking 1 v and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*k + k + o, -4*k + 4*o - 96 = 0. Suppose -27*m + 600 = -264. Find the common denominator of k and (0 - m\/9) + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1318978*u + 1318975*u + 1318975*u + 12 - 3956927*u.\nAnswer: u + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from geeqncq.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**4\/4 - 7*x**3\/3 + 6*x**2 - 32*x + 1. Let u be s(6). Solve 6*o = u*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 0. Which is the second biggest value? (a) 1\/5 (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49661 is divided by 194?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from ccmecccyceycc?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1884 - -2)*2126\/97796.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 147.\nAnswer: 73.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -4\/5, 13, 1\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (279\/15)\/((-1)\/(-5)). Find the first derivative of -b*y**2 + 93*y**2 + 11 + 0 - 4*y**3 wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p - 5*p)*(32 + 26 + 12) + (0*p - 5*p + 3*p)*(4 - 7 + 1) - p + 0*p - p.\nAnswer: -558*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v + 7. Let l(a) = -5*a - 6. Determine 3*j(r) + 4*l(r).\nAnswer: -5*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tutttuttttt. Give prob of picking 2 t.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 2*f**2 + 14 + 7.\nAnswer: 2*f**2 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 301965109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -49, -199, -449, -799, -1249, -1799, -2449?\n\"Answer: -50*g**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 155885145?\nAnswer: 467655435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00019247 to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, y: 8, e: 2, h: 1}. Give prob of sequence eyy.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 j when four letters picked without replacement from {q: 2, y: 3, j: 5, w: 3}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 458 = 2*h, 3*h + 635 = 4*v + 30. Calculate the highest common factor of v and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from dhhhhhhh?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 2*a**2 + 5*a - 3. Let b(z) = -z. Let y be b(-5). Let g(d) = d**2 - 6*d + 8. Let x be g(y). Calculate v(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 2*i - i + 3*i + 0*i - i + (3 - 5 + 1)*(-i + 0*i - i) + (-3 + 3 + 5 + (2 - 4 + 3)*(0 + 4 - 2))*(-5*i - i + 2*i).\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1160 - 721. What are the prime factors of l?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhum when four letters picked without replacement from {w: 5, u: 3, x: 2, m: 7, h: 1, v: 2}.\nAnswer: 7\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.056 (b) 102 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -5*h - 25, -c + 122*h = 126*h + 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13\/(-28) - (-2)\/(-7) - (-2828166)\/264?\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 702 = 7*j. Let z = j + 5263\/15. Which is the second smallest value? (a) -3 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h + 15. Let l be q(8). Suppose 5*j + l = 2. Suppose 2*z = -0*z - 18. Is j greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2462 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 13*u**2 + 9*u + 88. Is 63 a factor of j(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/5 (b) 2\/17 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**4\/12 - p**3\/2 - p**2\/2 + p. Let r be k(-2). Let x = -5 + r. Let m(v) = v**3 - 3*v**2 - 3*v + 3. What is m(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218485*b + 218488*b + 7 = 4*i, -i = -2*b - 13 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45144096*b - 18931023 wrt b?\nAnswer: 45144096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 4326 - 4262 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**21*b)\/(b*b\/b**(-9\/5)))**(2\/31) assuming b is positive.\nAnswer: b**(182\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -82 and -0.022.\nAnswer: 1.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 6*z + 399. Suppose 0 = i + 4*s - 29, z = -3*i + 7*i - s. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/67 or -1.16?\nAnswer: -1.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = n + 5*u - 25, 0 = -4*n + 16*u - 60 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20786*x**3 + 10432*x**3 + 10415*x**3 - 3*x + 4*x - x.\nAnswer: 61*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p + 4*m - 16 = 0, 23 = 2*p + 3*m. Let v = -27 + 32. Calculate the remainder when v is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -945*s + 46158 - 31038 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1683)\/220)\/(-51)*-10?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p + 23*p - 15 = 0. Suppose p*w = 8468 - 458. What are the prime factors of w?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -858*s**3 + 460*s**3 + 394*s**3 - 1 + 1.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5600?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + -2*sqrt(832)*1)**2 - (sqrt(832) + -4 + sqrt(832) + 0).\nAnswer: -16*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18042?\nAnswer: 2, 3, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 0*z**3 - 81\/4*z**4 + 3 + 22*z + 9\/10*z**5 + 0*z**2 - 1\/90*z**6. Factor h(m).\nAnswer: -m**2*(m - 27)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (2 + (5 - 4)) - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12101 - -10222?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000909318238 rounded to seven dps?\nAnswer: -0.0009093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -8 (b) -0.05 (c) -174\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9440 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 12, 0 = -3*u - u + 4*c + 20. Let y be u*(-318)\/12*-3. Suppose -3*z + y = 111. Calculate the greatest common divisor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1469139*i**2 - 467647.\nAnswer: 2938278*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 26*s**2. Let h(l) = -172703*l + 172699*l - 9 - 7. Give h(g(i)).\nAnswer: -104*i**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -107 + d - 2*d**2 - 6*d**2 + 11*d**3 + 101 + 10*d**2 in the form h*d + x*d**3 + q*d**2 + a and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*c - 5 = 63, 10 = j + 4*c. What is the greatest common factor of j and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*j + 2*j**2 - 38*j - 23*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**3 + 2*h**3 - 3*h**3)*(-17*h + 20*h - 28*h)*(0 - 1 + 3) to the form x*h**2 + d*h**4 + s*h + r + u*h**3 and give d.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 186912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0484919867989 + -0.2.\nAnswer: -0.2484919867989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**6 - q**5 - 2895*q**4 + 384*q**2 - 24*q - 1 wrt q?\nAnswer: -360*q**3 - 60*q**2 - 69480*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25411251 (base 6) in base 3?\nAnswer: -1112221212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*j - 37*j = 2*s - 64, -5*s = 7*j + 44. Which is smaller: -27 or j?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2479999750?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(-9)*(-1 - 89\/(-2)). Is 18 a factor of -273*(-3 - (2 - m\/(-28)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506*r - 11962 = 504*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 + k**4 + 0*k**4)*(47730 + 11269*k - 47730).\nAnswer: 11269*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002202200200 (base 3) to base 12.\nAnswer: -45a730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7164342?\nAnswer: 2, 3, 181, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**2 - 5*g + 2*g - g**3 - 2*g - 2. Suppose -14*c + 19*c + 105 = 0. Let t(b) = -5*b - 109. Let w be t(c). Calculate z(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006416066 rounded to six decimal places?\nAnswer: -0.000642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11458 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -3)*(-3 - -2). Let h = -3 + o. Let w be (-2 + 0 + 0)\/h. Solve s + w + 1 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4467, 8937, 13407, 17877, 22347?\n\"Answer: 4470*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2408 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: Let k(z) be the first derivative of 3*z**7\/35 - z**4\/2 + 7*z**2 + 24. Let b(i) be the second derivative of k(i). Find the second derivative of b(p) wrt p.\nAnswer: 216*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*m - 7 + 1, 4*z - 5 = m. Let g be (697\/(-4100) + (-2)\/(-8))*5. Which is the biggest value? (a) g (b) -3\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(208) + 2)**2 - (-4 + (((sqrt(832) + 0)*3 + sqrt(832) - sqrt(832))**2 - sqrt(832))).\nAnswer: -6319 + 208*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.4 - -12. Let d = o - -3.4. Which is the third smallest value? (a) 0.5 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*f - 38*f + 13*f)*(-8 + 2 + 2)*(-4 + 1 + 4).\nAnswer: 152*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 287219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + 4. Let i = k + -24. Let o = -7 - i. Which is the closest to 1? (a) o (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w**3 - w**3 + 5*w**3)*(179 + 173 + 166 + (-1 - 4 + 1)*(-5 + 1 + 3) - 2 + 1 + 0) to the form q*w**2 + t*w**3 + k*w + b and give t.\nAnswer: 521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007250821 rounded to 6 dps?\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -347035 + 577038. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x. Let l(a) = -630*a + 182. Let y(i) = -21*i + 6. Let z(f) = -6*l(f) + 182*y(f). Calculate z(r(n)).\nAnswer: 84*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g + 55. Let n = 16 - g. Solve 5*t = n + 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -183*b - 1064. What is the smallest common multiple of s(-6) and 818?\nAnswer: 13906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 9*u = -85, -8*u = -6*u + 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**3 + 2 - 2)*(28 - 5 + 52).\nAnswer: -375*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 u when three letters picked without replacement from {u: 2, p: 1, s: 1, d: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 21 - -7 - (57 - 59) - (1 - 54)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -7\/6 in decreasing order.\nAnswer: -1, -7\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3534*j + 3535*j - 3 = s, 4*s = 2*j - 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4 = 740270*o - 740271*o, 0 = -j + 3*o + 16 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -80044666 to the nearest 100000.\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -102551 (base 6) to base 13\nAnswer: -3aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*l + 2*l - 12, -5*y - 20 = 0. Which is bigger: l or -10\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 76 = -73 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 9*h**2 + h - 7. Let y be c(9). Let m = 2 - y. Let l be (-2 + m)\/1 - -2. Let f(n) = n**3 + n - 7. What is f(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from zzggzzigzigziizzzzi.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/2)*w\/w**5)**(2\/43)\/(w*w*w*w\/(w\/w**1)*w**(-2\/5))**(2\/35) assuming w is positive.\nAnswer: w**(-2423\/7525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 11 + 7)*(0*n - n + 0*n) + 0*n + 2*n - 3*n - 4*n - n + 4*n.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(2 + -2 + -1). Let w = 6 - 11. Sort u, 1, w.\nAnswer: w, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2) - ((-6)\/12 + -3). Let b be q\/12*(1 + 66\/(-30)). Put -0.8, b, -2 in descending order.\nAnswer: b, -0.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34865977 + 34864507 = 70*x for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2027 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*t**2 - 206*t**2 + 399*t**2.\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7149.82 + 7057. Let w = -52 - 42. Let f = w - q. Round f to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -776637*s**3 - 976800?\nAnswer: -2329911*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-5) + (18 - (-15)\/(-1)))\/(-1).\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 6*g**2 - 6*g - 4. Let b = 14 + -7. Let y be l(b). Does 8 divide y + -3 + 2 + 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192337 (base 11) in base 8?\nAnswer: -1101715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u**2 - 166*u - 602. Determine z(31).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at least as big as -459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwxgxwwnwxxwkwwkxw. Give prob of sequence xkk.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29874315 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7774001 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 172483138 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**3 + 2*p**2 + 3*p. Let k(x) = -x**3 - x**2 - x. Let a(w) = 6*k(w) + o(w). Is a(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 7. Solve y*f + 9 = 29 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 76436.9468394.\nAnswer: 76436.8468394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10849656 to the nearest integer?\nAnswer: 3294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1662347747464651\/25080 + 66281808104. Let z = b + 2\/3135. What is the common denominator of z and -5\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 - 517 = -7*p. Suppose 0 = -4*s - 8*d + 13*d + 42, -2*d = -3*s + 28. Calculate the highest common factor of p and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + 0*n**3 - n**3)*(130 - 10*n - 130)*(-15*n + 5 - 5 + (1 - 3 + 0)*(-4 - 2*n + 4)).\nAnswer: -440*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = -19*t - 382 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52865?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 19. Suppose 3*o = 2*g + 80, n*o - 14 = -g + 81. Suppose 26*x - 122 - 164 = 0. What is the remainder when o is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*3*(-16)\/108*12\/30.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 7*a + 4*j = 716, -5*j = 4*a + 1419. Let l = -332 - a. Calculate the remainder when 131 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 46537755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1175338 to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 4*y + 2. Suppose 35 = 3*s - j, 36 = 5*s - 4*j - 27. Suppose -3*g - 4 = s, 2*l + 13 = -g. What is r(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4156 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/((-1)\/(-3)))\/1. Suppose -2 = d - u. Is (4 + -17)*-1*d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - b - 5*q - 40, 4*q = -5*b - 59. Let g = 19 + b. Solve -8 = g*y, 3*v + 5 = -4*y - 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.517.\nAnswer: -1.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5956622717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + -3 - 7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19602, 19600, 19598, 19596, 19594?\n\"Answer: -2*b + 19604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21977, -41866, -61755, -81644?\n\"Answer: -19889*v - 2088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 49*u**2 + 6. Let x(g) = -29418*g**2. What is l(x(s))?\nAnswer: 42405517476*s**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 0*x**4 + 0*x - 6*x**2 - 11\/40*x**6 - 1\/20*x**5 + 0 + 3*x**3. Find the third derivative of t(p) wrt p.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1738*g**4*l + 1631*g**3*l**3 + 2*g**2*l + 4*g**2 - g + 114*l**3 - 149*l - 18 wrt g.\nAnswer: -41712*g*l + 9786*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 775 + -773. Suppose 5*u = -5*z - 15 - 5, b*z = -6. Are u and 3\/371 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -77*u - 3. Let o(z) = -77*z - 4. Let y(l) = 6*g(l) - 5*o(l). Is y(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -220\/7 - -222\/7. What is the closest to r in 23, 1\/4, 0, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-45)\/21)\/((-660)\/(-770))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 17*p**2 + 57547*p. Let d(f) = 2*f. Calculate d(w(l)).\nAnswer: 34*l**2 + 115094*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1340*d**6 - d**2 - 228 wrt d.\nAnswer: 160800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b - 34*b - 390420 = -81*b. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**5 - 33098987*d**4 - 12035182*d wrt d?\nAnswer: 20*d**3 - 397187844*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*w - 5*n + 85 = -143*w, w + 3 = -6*n for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766800.\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107 + 53. Let q = -55 - u. Which is the smallest value? (a) 3 (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 150 - 112. Suppose -2622 = o*q - 44*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/3)*v)**(-49)*((((v\/(v\/v**1))\/v)\/v)\/v)**(-2\/115))**(-1\/79) assuming v is positive.\nAnswer: v**(22528\/27255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z**3 + z**3 + 2*z**3)*(-1 + 1 - 3*z).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 1. Let q be k(1). Let m be q*3 + -1 - 2. Let z = m + 0. Do z and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4 + 64*i**3 + 9744*i**2 - 39680*i + 39904 = 0. What is i?\nAnswer: -58, 2, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 4. Solve 7 = 3*v - k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0225 * 3.\nAnswer: -0.0675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7163949)\/12 + -3)*(-4)\/72. Let j = -33168 + x. Find the common denominator of j and -11\/12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2, -753, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -960*i + 965*i - 4*u + 35 = 0, 80*u = 2*i + 14 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1051, 2096, 3139, 4180, 5219, 6256, 7291?\nAnswer: 8324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5786319)\/(-165) + (-2)\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 20 = 5*j, -2*d + 5*j = -0*d - 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 441*z + 1. Let t be i(4). Let o = t + 130. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*b**2 - 5*b - 21*b**2 + 3*b - b**3 to the form r + p*b**3 + l*b**2 + c*b and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s - 13. Let y = -1 - -1. Suppose 2*q + 13 = -5*h - 0, y = -q + 3*h - 1. Let w be n(q). Solve 2*u = -3*b - 16, 0 = w*b - 3*u - 2*u - 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435556 is divided by 657?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*c + 3*c + 24 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47045795*m**3 + m**2 + 307*m - 50053?\nAnswer: -282274770*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -151 + 3 + 150 - 539*w in the form y*w + q and give y.\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(17))**2 + sqrt(17))*-5 + 0.\nAnswer: -340 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 10. Suppose 3*g + 105 = -f*n, 2*n + g - 49 = 5*n. Let h = n + 30. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 6. Calculate the remainder when 18 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56251 and 3881319.\nAnswer: 3881319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6*(-4)\/(-6))\/(-2). Let g be (-1)\/(w\/(2*-4)). Let j be (g\/(-9))\/((-9)\/(-27)). Which is the second smallest value? (a) -0.5 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -13. Suppose 2*f = h - 25. Which is bigger: -7 or f?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -169, -622, -1359, -2380?\n\"Answer: -142*d**2 - 27*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 279?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29530*m*o**3 + 2*m*o**2 - 29*m*o + 3*m + 7*o wrt o?\nAnswer: -177180*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2. Let n be p(3). Suppose 7*m - 4*m = n. Suppose -g - g = -m. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v + 5\/3*v**3 + 0 - 9\/2*v**2. What is the tens digit of o(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1 - -2) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 210*o - 14 + 564*o - 18 to w + y*o and give y.\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 146 - 25. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 19*x + 13. Let z be u(-19). Suppose 38 = z*m - 53. Calculate the highest common divisor of m and 469.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 20 = 2*j. Suppose -4*m - 15 - j = -a, -2*a = 3*m + 15. Suppose -d - d + 28 = a. What is the remainder when 54 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726010352?\nAnswer: 2, 277, 163811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**3 - 4004782*l**4 + 456*l - 18 + 2*l**2 + 4004588*l**4 + 13 wrt l?\nAnswer: -2328*l**2 + 6*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**3*t - 995*q**3 + 2*q**2*t**2 + 14*q**2*t wrt t.\nAnswer: q**3 + 4*q**2*t + 14*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156 (base 9) to base 3.\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*x - 6 - 9, -6 = -2*c - 3*x. Suppose -c*r + 7 + 29 = 0. Let f = 15 - r. Solve 10 + 5 = -f*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 5. Let s(f) = 4*f + 19. Let d(r) = -9*n(r) + 2*s(r). Let y(a) = 1. Let z = 1465 - 1467. Let l(j) = z*y(j) + d(j). What is l(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (2 - 3) - 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39637 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 91673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33.8 in -2\/17, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1680\/(-4032))\/((-2)\/52)*-12*(-2)\/80.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 147?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/16? (a) 0.3 (b) -3\/265 (c) 1\/4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(-5 - -3)*(-9 - 3). Let u be (-300)\/v*(-252)\/10. Let n = -9 + 18. Calculate the greatest common factor of n and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4*h - 13 = -5*l, 2*l + 6*h = -103521 + 103465 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -110, -0.2659, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1266 - 2*r + 578*r**2 - 578*r**2 + 173*r**3 + 899*r**3 wrt r?\nAnswer: 6432*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**3\/3 + 13*t**2\/2 + 10*t - 28. Let b be o(-11). Let l(h) = h - 10. Let u be l(7). Put u, -4, b in decreasing order.\nAnswer: u, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*o)*(-o + 2*o**2 + o) + 2*o**3 - 2*o**3 - 4*o**3 - 4*o**2 + 4*o**3 + 4*o**2.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 113*p**2 + 1793*p + 1905.\nAnswer: -(p - 15)*(p + 1)*(p + 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 - 65.9. Let l = 0.1 - g. Let x = -11.4 - l. Sort -5, x, 1\/8.\nAnswer: -5, x, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 822111053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 110 = d - 4*d, -88 = -4*l + 3*d. Let h(s) = -s**3 - 4*s**2 - 7. Suppose -2*y = 5 + 5. What is the least common multiple of h(y) and l?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5423 + 7*q - 5423.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6811213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106538 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 8:35 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9924 is divided by 453.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-45))\/((-75)\/(-3375))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12415540.\nAnswer: 2, 5, 620777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 13 - (25 - ((-3 - -31) + -10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022844 to 5 decimal places.\nAnswer: 0.00228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -631\/2540 + -1\/635. Let x = 233\/4 + -58. Put g, -1, x, 5 in increasing order.\nAnswer: -1, g, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103203 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o. Let y(z) be the first derivative of -4*z**3 - 29. What is y(s(h))?\nAnswer: -108*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -q, -b - 5*q + 8 - 13 = 0. Calculate the remainder when 56 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*l + 1813 = -72*l - 245*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 97 (b) 26.7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (1 - 2) + -1. Let u = 3 - c. Let q = -53 + 57. Solve -3 = -3*r + q*i - i, r - 2*i - u = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 12*l - l + 0*l.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 78*j**2 + 211*j - 137. Determine n(-7).\nAnswer: 2208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/161*-287*(7\/7 + -2).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 905963?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**5 - 43166*g**3*w**2 + 43*g**3*w + 6*g**2*w**2 + 2*g**2 + 11*w**2 + 111 wrt g?\nAnswer: -60*g**2 - 258996*w**2 + 258*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 1, y: 1, s: 1, n: 2, w: 1}. Give prob of picking 1 s and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmmmukum. Give prob of picking 1 m and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-1 + (-16)\/(-9)). Let y = 283\/6 + -89\/2. Suppose y*x + 8\/9 + 4\/3*x**3 + 26\/9*x**2 + w*x**4 = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -26*g**4 + 3*g**3 - 19*g + 3. Let j(o) = 79*o**4 - 8*o**3 + 57*o - 8. Let p(l) = -8*a(l) - 3*j(l). Find the second derivative of p(u) wrt u.\nAnswer: -348*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 10*n**2 + 12*n - 6. Let z be l(9). Let c = z + -19. What is the third derivative of -27*q**2 + 50*q**2 - 22*q**c + 3*q**6 wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73346.58 milliseconds to hours.\nAnswer: 0.02037405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2419*l - 66375 = 1357 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -101 - -177. Suppose 0 = -4*y + q - 12. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006273944574 rounded to 5 dps?\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjwj when four letters picked without replacement from {w: 5, j: 6, a: 1, x: 3}?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.7964 + 0.0636. Let v = i + 0.14. Which is bigger: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159*d**2*s**2*w - 8*d**2*w - d*s - d*w wrt s?\nAnswer: 318*d**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 4:26 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2. Let y(m) be the second derivative of 5*m**3\/3 - 4*m. Determine p(y(t)).\nAnswer: 200*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 163, -2, -5, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*w - 6668 = -228396. Calculate the highest common factor of 312 and w.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12390295 to the nearest integer?\nAnswer: 3520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l - 25. Determine i(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: -4*-0.25\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.7? (a) -0.2 (b) 16 (c) 80 (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0*u\/((u*u\/((u\/(u*u**(2\/11)*u*u))\/u))\/u)*(u*u*u*(u\/(u*u**0))\/u)\/u**(2\/11))**(-7\/3) assuming u is positive.\nAnswer: u**(35\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19359059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2649 - 2.7351. Which is the nearest to 0? (a) -4 (b) 2\/45 (c) -2\/3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 56*j - 3. Let a(t) = 5*t**2. Calculate a(b(y)).\nAnswer: 15680*y**2 - 1680*y + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + m + 115*m**2 - 6*m - 106*m**2 to w + h*m**2 + j*m and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + 2 - 4 - (22 - 18). Let h = -18.4 + 17. What is the nearest to 2\/5 in 1\/7, h, a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -474.96.\nAnswer: -475.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -250 - -723. Suppose -5*m - 4*v = -4, -5*m - 5*v + 16 = -4*v. Suppose 0 = m*a - x + 37. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 5*i = -2741 + 2638, -10*g + 4*i = 56 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/(-10))\/((-5)\/25). Suppose 2*a = z, 10 + 4 = m + a. Suppose 42 = 5*r + 4*w, 0 = 4*r - 3*w - m - 5. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19619796 divided by -133468?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 12 = 6*i. Suppose -8*c = -i*c - 30. Solve -w = -c*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -144 + 411?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**34)**(-10\/3)\/(d*d**(2\/21)\/d*d*(d*d*d\/(d**(2\/83)\/d)*d)\/d) assuming d is positive.\nAnswer: d**(-68793\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109.49 + -110. Which is smaller: -1\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 24 = u. Suppose u*o - 7*o + 4 = -2*k, -5*o = 2*k + 4. Solve o = -3*p - 4 - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 2*w**2 + w + 1. What is i(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104489 and 109227349.\nAnswer: 4543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 - c**2 - 2*c. Let a(p) be the third derivative of p**5\/60 + p**4\/24 + p**3\/6 - 228*p**2 - 2*p. What is a(g) + m(g)?\nAnswer: -2*g**3 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4725*l**3 - l**2 + 1855*l + 1 wrt l.\nAnswer: -28350*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -257 - -323. What is the smallest value in -5, 2\/13, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-50)\/(13 - 8) + 13. Let d(o) = -4*o**2 - 2*o + 2. Let x(j) = 2*j**2 + j - 1. Determine k*d(w) + 5*x(w).\nAnswer: -2*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 6*o**2 - 6*o - 5. Suppose -h - 2*v + 7 = v, -3*v + 35 = 5*h. Let c be w(h). Suppose -18 = -c*m + m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -16227.4 and 14689.\nAnswer: -1538.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 48*f + 16. Suppose 2*v = -v + 4*p + 26, -v + 4*p = -14. Does 38 divide i(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 36 = l, 11 + 17 = 3*i - 5*l. Let o = 17 - i. Suppose -q + o + 0 = 0. Solve -11 - q = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.14 times 6108\nAnswer: -31395.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 14 + 7*l**3 - 3.\nAnswer: 7*l**3 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/250848 and -19\/27872.\nAnswer: 250848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 - 12*q**2 + 97*q + 507. Determine y(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 108483959 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*l + 22 = 0, l - 6*l = 3*w + 26. Let f be (w\/(-3))\/(8\/6). Let u = -6 - -5.9. What is the nearest to f in 3, u, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2 + 2*n**3 + 2*n - 2*n + n - 2*n**4 - 3*n = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*-1*(-24)\/30. Suppose n*d - 42 = -5*v, 0*v - 54 = -5*v + 2*d. What is the units digit of (-2)\/v + (-108)\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20692813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1994 - -1957. What is the hundreds digit of p\/(-2)*(-5 + (-104)\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4609\/11 + (1 - (-5 - -5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f + 18. Let l(w) = 4*w + 9. Suppose 2*r + 14 = -r + d, 4*r + 16 = 4*d. Let j(s) = r*l(s) + 3*h(s). Find the first derivative of j(k) wrt k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4\/7 + 62*d**3\/7 + 28*d**2 - 62*d\/7 - 195\/7 = 0. Calculate d.\nAnswer: -3, -1, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*j**2 + 21*j - 7*j**2 - 3*j**2 as o + t*j + h*j**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 72*g**2. Let b be 13\/(325\/20)*5\/2. Let k(c) = 0*c - 8*c + 8*c - 5*c**2 + 3*c**b. What is u(k(j))?\nAnswer: 288*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 25 - (4\/(-4) - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-5)\/d)**(11\/9)\/(d**18*d**(-2\/31)) assuming d is positive.\nAnswer: d**(-6709\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v**2 + 3*v. Let d(m) = 7*m**2 - 4*m. Suppose b - 3*z = -6, -3*b - 13 = -3*z - z. Let q(i) = b*d(i) - 4*x(i). Let r(s) = s**2. Calculate r(q(c)).\nAnswer: 49*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66.6 - -57. Let u = p - -9.64. Let l = u - -0.96. Does -3\/14 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 0, 1, -3968?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-558)\/(-216)*-4 + (12 - (4 + -2))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 12*f + 4. Let o(y) = 24*y + 9. Suppose 175*l = 81*l + 470. Calculate l*m(a) - 2*o(a).\nAnswer: 12*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5806945 is divided by 547.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-161)\/2*(-3462)\/(-12117).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c + 72 - 429. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*i**6 - 41*i**2 + i**6 + 49*i**2 wrt i?\nAnswer: 960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q*q*(q**(-1\/11)\/q*q)\/q*q))\/q**6)**21)**49 assuming q is positive.\nAnswer: q**(-89523\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92870 to the power of 1\/2, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a + 26. Let m be h(12). Suppose -m*z + 5 = -3*z. Let p be 0 + 2 + (z - -3). Which is greater: p or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209223 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277343 is divided by 276?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 + 15300\/588)\/((-9)\/(-21)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 15192*l - 5271634. Calculate z(347).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 3\/2*n**2 - 8 + 24*n. What is the tens digit of q(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from {k: 1, v: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 335657053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 - 4*f + 4*f - 6*f**2 + f**2 + 3*f**2 + (0 + 0 - 2)*(f**2 - 4*f + 4*f) + 0*f**2 - 5*f**2 + 4*f**2.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 426*f**3 + 3*f**2 - 432*f**3 - 5*f**2 - 2*f + (33*f - 64*f + 35*f)*(4 + 3*f**2 - 4).\nAnswer: 6*f**3 - 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 59, 7, -8, 4, 5 in ascending order.\nAnswer: -8, 4, 5, 7, 9, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 778 = 71*r + 636 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -444*v**6 + 93*v**4 + 74*v**3 + 42237680*v**2 - 2?\nAnswer: -53280*v**3 + 2232*v + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -294, -4, -1, 2\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 12 = -3*a - 12, -3*a = 4*q. Suppose 6*u + 111 = 27. Let i = a - u. Calculate the greatest common divisor of i and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1586779, 1586776, 1586773, 1586770, 1586767, 1586764?\nAnswer: 1586761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (33 - 3)) + (-4 - -4 - -13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-7\/4)\/d)\/d**23*d*d**(-20)*d*d\/d**(-4\/5)*d)**(-15) assuming d is positive.\nAnswer: d**(2397\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39563f - 2?\nAnswer: -395641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11856 or 11802?\nAnswer: 11802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + o = 20. Suppose r - o + 8 = 0. Let z be 1\/r - (-154)\/168. What is the nearest to z in -5\/4, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -5. Suppose 0 = 5*j - l - 71. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 2*v + 214 - 213, -4 = -6*m + 2*v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 109039629 divided by -982339?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*5*(2*sqrt(95) - sqrt(95) - sqrt(95) - sqrt(95))*-6)\/(1*(sqrt(735)*-2)\/sqrt(3)).\nAnswer: 180*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 217*a - 233*a + 1140*a + 63925 + 31615 for a.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -46*x**2 + 788*x - 85. Let m be j(17). Let a(g) = -16*g - 7. Let s(w) = -48*w - 20. Calculate m*a(z) - 6*s(z).\nAnswer: 16*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 125 and 2577725.\nAnswer: 12888625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 16.40199 millimeters?\nAnswer: 16401.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 15 - 21 = 0. Suppose -5*k - 1988 = -s*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3 = -5. Let x(t) be the second derivative of t**3\/6 + 9*t**2\/2 + 5*t. Let m be x(-5). Solve 0*g = -g - z*q - 6, -2*q = m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -920*d**3 + 2*d**2 - 2*d - 1936?\nAnswer: -2760*d**2 + 4*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*g = -178*g - 9959212. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31935, 60492, 89039, 117570, 146079, 174560, 203007, 231414?\n\"Answer: -a**3 + a**2 + 28561*a + 3374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4476\/13 - 344. Factor z*a**2 - 2\/13*a + 0 - 2\/13*a**3.\nAnswer: -2*a*(a - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r + 5 + r**2 + 19 - r + 5*r. Let z(i) = i**2 + 10*i + 17. Let k be z(-6). What is the tens digit of g(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o - 31 + 2 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 11*a - 10. Let n be k(13). Suppose -20*z + n*z = -48. Solve 2*u - z = -3*c + 6*u, 4*c = 4*u + 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6720 and 630.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*u**5 + 13650*u**4 - 2399540*u**3 + 43606200*u**2 - 87290672*u + 19134720 = 0. What is u?\nAnswer: 1\/4, 2, 18, 176, 1510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + 1 - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2045*u**2 + 2 + 231*u + 5761*u**2 + 239*u.\nAnswer: 3716*u**2 + 470*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-84456)\/(-2268) - 4\/6. Is u smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5, -13 = -2*q - 3*x + 8*x. Sort 2, -8, q, 0 in increasing order.\nAnswer: -8, q, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akelkkl. Give prob of sequence lek.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 55 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/220*(6 - 890\/140). Is m < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 45 - 130. Let d be 10 - w\/(136\/64). Solve 4*a - 4*f - d = -6, 0 = 5*a + f - 13 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -284, -533, -782, -1031?\n\"Answer: -249*x - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*40\/(-112)*7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 9*g + 69, 3*y + 261*g - 260*g = -18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1920, 3836, 5750, 7662?\nAnswer: 9572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426853 is divided by 91.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**15*a**(-14)*(a**(5\/2)\/a)**(-1\/19))**(-1\/4) assuming a is positive.\nAnswer: a**(1067\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267576.\nAnswer: 2, 3, 11149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(245) + -1)**2.\nAnswer: -70*sqrt(5) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159\/5 - -32. Let v = -8 - -15. Let s = v - 4. Which is the smallest value? (a) y (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29\/62 in -0.4, -2\/77, 4, -1\/5, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1642 and 23502767.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*i**2 + 89*i**2 + 88*i**2.\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -61. Let y = k + -43. Which is the second biggest value? (a) 5 (b) y (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473, 464, 453, 440, 425, 408, 389?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - -1.3. Let w = 2.99386 - 4.3938424. Let h = a + w. What is h rounded to 6 dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208\/190 - (-834)\/(-695)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 171 = -27*l + 74. Let u = -8 + 18. Suppose -4*h - h + u = 0. What is the remainder when l is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.043445 micrometers?\nAnswer: 4043.445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 265. Calculate g(7).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 302594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1601*i**4 + 11*i - 4*i + 16*i**2 + 131*i**2 - 6*i + 0*i wrt i.\nAnswer: 38424*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75765 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 6*o. Let m(p) = 2*p + 600. Calculate m(t(d)).\nAnswer: -2*d**2 - 12*d + 600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 502*(-117 - 1)\/(-2 + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7174 - -11411. Which is bigger: f or 4239?\nAnswer: 4239","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-28))\/(((-27)\/12)\/9)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -h - 16. Suppose h*w - 6*w = -28. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -2 + 0*v**2 - 2\/3*v**3 + 2*v. Find the first derivative of a(c) wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2509 + 2510 + 2505 - 7524 + 50*q.\nAnswer: 50*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(0*h + 2*h + 0*h) + 2*h + 1 - 1 - 23093 + 23093 - 128*h to l*h + o and give l.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(13)*2 + 5 - sqrt(13)) + -3.\nAnswer: 2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*s + 42*s**3 + 8*s**2 - 44*s**3 - 7*s**2 to r*s**3 + i*s + k + l*s**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1327, -1329, -1329, -1327, -1323, -1317, -1309?\nAnswer: -1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23, 6, -13, -28, -33, -22, 11, 72?\n\"Answer: d**3 - 7*d**2 - 3*d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-621)\/92)\/9*(2\/4)\/((-24)\/944)?\nAnswer: 59\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + 0*x**3 + x**3 + (4*x - 4*x + x)*(2*x**2 + 2*x - 2*x) + 18*x**3 + 23*x**3 - 63*x**3 + x**3 - 3*x**3 + 159 - 161.\nAnswer: -20*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14825, -14828, -14831?\n\"Answer: -3*c - 14822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -195 - -19a48?\nAnswer: 198b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*p - 1, 2*p + 1 = 7. Suppose 2*y - n + 28 = 2, -3*y - 37 = -2*n. Let c be 4\/6*y\/2. Put g, c, 2 in descending order.\nAnswer: 2, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 565 + -569. What is the fourth smallest value in k, -1\/6, -3.3, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 0*u + u + (3*u - 5*u - u)*(-1 + 0 - 1))*(-u - 1 + 1 - 2*u + 3*u - 2*u - u + 0*u - 11*u + (4*u + 2*u - 5*u)*(-3 - 4 + 1)).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.61413 times -192\nAnswer: 117.91296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(189)\/sqrt(7) - sqrt(15)\/(sqrt(10)\/sqrt(2)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 9:58 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9685 - 9594. Solve -106*l = -m*l + 30 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -9, 2 in descending order.\nAnswer: 2, -9, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(189)\/sqrt(3) - sqrt(84)\/(sqrt(12) + ((sqrt(588) - -2*sqrt(588)) + sqrt(588) - sqrt(588))).\nAnswer: 263*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -322 + 322. Let j = 39 + -347\/9. What is the fourth biggest value in j, q, 3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(128))*4)**2 + -3.\nAnswer: -9216*sqrt(2) + 74301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((960\/18)\/8)\/((-2)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344171425 divided by -364975?\nAnswer: -943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2861, -5889, -8821, -11609, -14205, -16561?\nAnswer: -18629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 4 (b) 0.3 (c) -4\/5 (d) 101.5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -961.\nAnswer: -5\/961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -374? (a) -3 (b) 2\/13 (c) 3 (d) -2\/291\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 10*x**2 - x - 4. Calculate r(8).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -2*o - 4, -2*o - 1081*g + 2 = -1080*g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j = -165 + 445 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxxhxfzxpzp. What is prob of sequence pzhz?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -54.8428 * 1\nAnswer: -54.8428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (3 - (-43 - 48)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -46418208452 take away -548?\nAnswer: -46418207904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.258 (b) -1\/9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-6 + 12 + 6)*(12*h + 4 - 4).\nAnswer: -144*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394*c**2 + c**3 + c**3 + 394*c**2 + 389*c**2 - 1177*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s. Let k(a) = 32*a**2 + 3658*a - 35. Calculate k(c(u)).\nAnswer: 32*u**2 - 3658*u - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-112122)\/(-90) - 16\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5894427 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93222?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5 + 53*m**4 + 970*m**3 + 6698*m**2 + 10693*m + 4913.\nAnswer: (m + 1)**2*(m + 17)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6661 - 51?\nAnswer: 6610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/60 - 20*j**2. Suppose 0*o = 5*o + 2*a - 6, -4*a = -4*o - 12. Let y(t) = o - 6*t**2 + 0. What is y(g(r))?\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 21.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1211119625?\nAnswer: 5, 23, 31, 107, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19203.\nAnswer: 3, 37, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164050085 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1 = -3*r, 4*s = r - 1 + 4. Let a(l) be the first derivative of l**4\/4 - 2. Let q be a(-1). What is the closest to r in 1\/2, q, 0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1044088?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22100941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34182157141\/779269606460 - 1\/56770491. Let w = x + 3\/1420. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30110 - 322?\nAnswer: -31032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - h = -5*p, 2*p - 3*h = -8. Put p, 4\/5, 3 in ascending order.\nAnswer: p, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163575955, -163575953, -163575951?\nAnswer: -163575949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 6*t**2 + 4. Let x be i(6). Suppose -3*v - v + x = 0. Which is the third smallest value? (a) v (b) 1\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45644411.\nAnswer: 45644411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8365 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19509841231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10480 + -10437. Let a = -6 - -25. Calculate the remainder when l is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/27)*h*h**(2\/3)*h\/h**(-1\/10)*h**(-6) assuming h is positive.\nAnswer: h**(-893\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 0.2. Let n = 9 + -53. Let z = -44 - n. Which is the nearest to z? (a) m (b) 0 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30328.424 rounded to 0 decimal places?\nAnswer: 30328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 4*r - 3. Suppose 0 = 2*y - x - 251, -4*y - x = -0*y - 487. Suppose -5 = d, 5*d - 48 = 5*l - y. What is the lowest common multiple of l and r?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -53589, -54092, -54595, -55098, -55601?\n\"Answer: -503*r - 53086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 - 2. Let x be 6\/(-8)*24\/45*-2. What is the fourth biggest value in x, 0.3, i, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbbbqrbbbqbbbp?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.14 - -1.66. Let l = p - 2. Let k = -6 + 8. Which is the biggest value? (a) -0.4 (b) l (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 42*d**2 - 1176*d + 2. Give n(28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -71*s - 29. Let f(l) = 10*l - 92. Let p be f(9). List the prime factors of x(p).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2194*k - 2190*k + 8 = 0, k = -5*a + 40 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7967324745.0775919295 - -7967324759. Let a = -0.0775913895 - d. Let z = -14 - a. What is z rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*s + c - 8, 30 = 5*s - 5*c. Suppose 36 - 9 = 2*z + 5*v, v = s*z. Let x be 1\/(-3) + 34\/3. Calculate the highest common factor of z and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 23*g + 1. Calculate x(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0076896 to 4 decimal places.\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 45 - 2*n + 5.\nAnswer: -2*n + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x + 114 = 24*x. Suppose -x = -20*c + 82. Put 12, c, -5 in decreasing order.\nAnswer: 12, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 12:40 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 41 * -0.1257\nAnswer: -5.1537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 + 8*j**3 - 60*j**2 - 136*j - 70.\nAnswer: 2*(j - 5)*(j + 1)**2*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194609?\nAnswer: 194609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*f + 7*f + 4*f + 381*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 58167 divided by 281\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -128 or 184?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-21)*-3*-2\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-58)\/(-15) - (1 + (-102)\/90). Solve 2*k = 2*z - 2, 2*k + x*z = -z - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**2\/4 + 21136*i + 446730496 = 0.\nAnswer: -42272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 6 = -2*s + 3*q, -5*s - q + 15 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - (-50 + 29 + -11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 1:31 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-2))\/(-2) - -205574. Let y = f + -93574. What is y rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 + -0.02. Which is the fourth biggest value? (a) 4\/3 (b) -1\/4 (c) 2\/9 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -345933 and -345932 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441317?\nAnswer: 223, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 376*b + 4210. What is z(-11)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbggggg. What is prob of sequence bg?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 10*o - 196. Determine i(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r + 566. Give l(82).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 966*s**2 + 2764*s**2 - 1231*s**2.\nAnswer: 2499*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 19962*i**3 + i**2 - 3*i + 2*i.\nAnswer: 19962*i**3 + i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxyyxyyxyxyyxy. Give prob of picking 2 x.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1742332674 and 2?\nAnswer: 1742332676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9832.92ml in litres?\nAnswer: 9.83292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 2548?\nAnswer: 2548.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18812?\nAnswer: 2, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from laaaaallalaaaaaaaaaa?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + 4*k - 4. Let p be f(2). Let v be (-1)\/(21\/11052) + p\/42. Calculate the common denominator of 67\/4 and v\/72 - 3\/(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 12:28 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + (49 - 47)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 33*v - 29*v. Suppose -2*m - 14 = -v*b - m, -b = -4*m + 4. Calculate the remainder when 4 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208\/(-56) - 40\/(-10)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*u**3 - 495*u - 62*u**3 - u**2 - 363*u to the form v*u + p*u**2 + c*u**3 + k and give v.\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/1260 and -197\/13860.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 16*n + 14*n - 22, 3*w + 3*n - 12 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/((162\/17820)\/(3\/66)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.3216512mm?\nAnswer: 321.6512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 + -5.2. Let l = 2.7 - 3. Do g and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + a**2 + 0*a)*(5*a**2 - 2*a + 0*a + a**2) as z*a**2 + p*a**4 + q*a**3 + n + l*a and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4568082760 rounded to the nearest one million?\nAnswer: -4568000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -739600*u**2 + 12040*u - 49.\nAnswer: -(860*u - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/1973860 and 19\/25096220.\nAnswer: 175673540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.49064 kilograms in milligrams?\nAnswer: 54490640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 125, 248, 371, 494, 617, 740?\n\"Answer: 123*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-39)\/(-2)*(-4)\/(-6). Suppose -46 + h = -3*a. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 + 13*d**2 + 7*d - 1. Let j be g(7). Which is the closest to 0.1? (a) 0.04 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.2, 33, 53, -2, 132.9, -4\/3, 2\/7?\nAnswer: 132.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -2)\/(2\/7). Let r(i) = 2*i**2 - 7*i - 7. Let z(t) = -3*t + 0 + 0 - 3 + t**2. Suppose -3*p - p + 3*x + 3 = 0, -5 = x. Determine d*z(v) + p*r(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1 + 1 - 2 - 15*w. Let l(p) be the third derivative of -p**5\/30 + 18*p**2. Determine l(d(b)).\nAnswer: -450*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 268046302 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 97408, 194851, 292334, 389857, 487420?\n\"Answer: 20*c**2 + 97383*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -34.897082.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10500)\/(-18))\/(2\/(-24)). What is j rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**5\/2 - 32020*t**4 - 205184125*t**3\/2 - 410016095*t**2 - 512384070*t - 204928020 = 0. What is t?\nAnswer: -6402, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (-7 + 16 - 14)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 10*c**2 - 3*c**2)*((5*c**3 - 2*c**3 + 0*c**3)*(3 - 1 - 1)*(-5 + 9 + 10)*(5 - 2 - 4) + 0*c**3 + c**3 + 2*c**3).\nAnswer: -273*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 19*b**2 - 6*b + 3. Let g(a) = -a**2 + a - 1. Calculate -5*g(j) - m(j).\nAnswer: -14*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**3 + 20*x**2 + 10*x - 129. Give q(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2 - 3)\/1)\/(-1). Suppose 2*t = -3*t + 15. Suppose -o = t - h. Solve -10 = -4*f + o, 5*x + 19 = 3*f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 616400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/2)*p*p**13\/p*p*p)\/(p\/(p*p\/(((p\/(p\/p**(-13)*p))\/p)\/p*p*p)*p)*p**2))**(-21\/4) assuming p is positive.\nAnswer: p**(-1281\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 213489908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 13*f**2 - 1. Let m(k) = k**3 - 3*k**2 - 2*k - 7. Let n be m(4). Let z be j(n). What is the remainder when (20\/6)\/(2\/z) is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 - 111 = -3*f + 5*o, -2*o - 4 = 0. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-12)\/a)\/a)**(9\/8) assuming a is positive.\nAnswer: a**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*c + 25 = 0, 111 = -2*c + 117. Let a(u) = -14*u - 3. Let x(r) = -7*r - 2. Determine w*a(l) - 7*x(l).\nAnswer: -7*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from yooqoopkopoppqkkokot?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 22061*d**2 - 48*d + 6 - 3*d**4 - 22061*d**2 to a + t*d + m*d**4 + q*d**2 + s*d**3 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 435694 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - x + 1. Let i(q) = 2*q**3 - 2*q**2 + q + 2. Let d(n) = -3*i(n) + 6*r(n). What is the second derivative of d(b) wrt b?\nAnswer: -36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2495 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2020 (base 3) to base 9.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = 4*m + 3*m. Suppose 0 = 2*x + w - 0 - 17, -3*x = 5*w - m. What is the least common multiple of x and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-84)\/(-39))\/((-24)\/(-156)). Calculate the highest common divisor of b and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 + 4*g. Let l(h) = h**2 - 2*h. Let n be 2\/(-14) + 5*12\/(-21). What is n*r(m) - 7*l(m)?\nAnswer: -m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 + 2 = 0. Suppose 2*k + 12 = 18. Suppose 93 = q*t - c + 2*c, k*c = t - 57. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -22\/5 (b) 1 (c) -42908 (d) 2\/15 (e) 1\/6 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12668847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 1 + 13*s - 6*s - 5*s.\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + k**2 + k + 2. Let r be n(2). Let w be r + (-3 - (-18)\/(-3)). What is the tens digit of 45*(-2 - 21\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36734.\nAnswer: 2, 18367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**2 + h**4 + 0*h**4 + 4*h**2 + h - 2*h**2 as z*h**2 + g*h**4 + b + n*h**3 + q*h and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*w - 82*w + 250*w + 69*w - 79*w - 92*w.\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*g + 309 = 0, -5*q + 1738 = 4*g + 204. What is the greatest common factor of q and 576?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4647024, -4647031, -4647044, -4647063, -4647088, -4647119?\n\"Answer: -3*r**2 + 2*r - 4647023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5125*o + 5302*o - 531 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44813*v**2 - 46383*v - 2?\nAnswer: 89626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4131084?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 17*g + 48. Let r be c(11). Let u = r + -101. Solve -2*k = u + 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(2\/7)*v)**(-2\/9)\/(v**0\/v**(1\/4))*(v\/(v**(2\/7)*v*v))**(2\/25)*(v\/(v**6*v))\/((v**(-2\/19)*v)\/v*v) assuming v is positive.\nAnswer: v**(-895087\/119700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/6417 and -13\/8526951.\nAnswer: 264335481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115 - 115 - 138*s)*(2*s**2 - s**4 - 2*s**2) + 0*s - 6*s**5 - 2*s + 4*s**5.\nAnswer: 136*s**5 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2723 or 2823?\nAnswer: 2823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010110111100011100 (base 2) to base 7.\nAnswer: -20111414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -135*d*l**3*u - 7*d*l**3 - 9*d*l**2*u + d*l*u - 29*l**2*u wrt l?\nAnswer: -810*d*u - 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 + 66*s**2 - 180*s + 11. Calculate t(30).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*o + o. Suppose o*k - 3 = 0, -4*i + k + 25 = -2*k. Calculate the highest common divisor of 49 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y. Let c(i) = -15*i + 1. Give x(c(v)).\nAnswer: 45*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -1 - (-438)\/(-110))\/((-2)\/(-10))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuye when four letters picked without replacement from ynujecye.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59077, -118302, -177527, -236752?\nAnswer: -295977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 445?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 101580?\nAnswer: 203160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3505849276 to the power of 1\/5, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 10:23 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -280 - -284. Suppose r*u + 2*y = 4, 2*u - 17 = -5*y - 7. Solve 4*t + 5*m = -1, u = -2*t - 4*m - 0 - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -49 - ((2 - 4) + 47 + -61)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1415 + 31956\nAnswer: 30541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 367309, 735228, 1103147?\n\"Answer: 367919*v - 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**6\/15 - 2*z**2 + 4*z. Differentiate a(t) wrt t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2448218 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen fifteenths of a minute in milliseconds?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -34.7. Let z = 0.7 + r. Let i = 4.014 - z. Round i to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81467, -160035, -238603, -317171?\nAnswer: -395739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -526598 divided by -6\nAnswer: 263299\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 26 + 76*t.\nAnswer: 76*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhojhrjjjjjbh. Give prob of sequence bh.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 779 and 4852391?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6841\/(2\/(-3)*27\/(-126)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: cb (base 16) to base 2\nAnswer: 11001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(162))**2 + -1 + 3.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*u = 112 + 58, 2*c = -3*u + 61. Suppose 3*b - 22 = -h, -h = -6*h + 3*b + c. Solve 4*k + 4*n = -15 + 39, -5*n + h = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2 = 4*k + 11, 5*k = 2*l - 12. Let x be 88\/22 + 2\/l. What is the highest common divisor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-19)*v**(-4\/25))\/(v**(2\/3)\/v*v)**9 assuming v is positive.\nAnswer: v**(-629\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + u + 1. Let b(v) = -2*v**3 - 107914*v**2 - 107916*v**2 + 215824*v**2 - 3*v - 4. Determine -b(t) - 3*o(t).\nAnswer: 2*t**3 + 3*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*t + 1. What is the third derivative of -t*j**2 + 8*j**3 - 4*j**3 + 3*j**2 - 9*j**2 wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 752*k**2 - 34580*k - 72200.\nAnswer: -4*(k - 95)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)\/(sqrt(40)\/sqrt(4)) - sqrt(19)) + 0 + -3 + 2*sqrt(931))**2 - ((sqrt(133) - sqrt(133)*-1)*3)\/(2*sqrt(567) - sqrt(567) - sqrt(7)).\nAnswer: -339*sqrt(19)\/4 + 3733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16282351 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -n - 5*p, -n = 2*n + 2*p + 30. Let o(w) = -w**3 - 7*w**2 + 8*w - 1. Let i be o(n). Sort 4, 2, i in descending order.\nAnswer: 4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15990, 15997, 16004, 16011, 16018?\n\"Answer: 7*o + 15983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 810387 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**3 - 28*t**2 - 41*t + 52. Give a(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7011 is divided by 197.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-390)\/312)\/((-15)\/(-10))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-1)*p*p))\/p)**19*(p*p**(-4\/7))\/p**1 assuming p is positive.\nAnswer: p**(-137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -512770, 1, 0 in descending order.\nAnswer: 1, 0, -512770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/13 - 46*x**2\/13.\nAnswer: 2*x**2*(x - 23)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*k = 50, -4*w - k = -52 - 26. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00136028 to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 5:36 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((24\/(-27))\/(-4))\/((-4)\/6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2101, -2093, -2081, -2065, -2045?\nAnswer: -2021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 3}. What is prob of sequence rg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2654, -172 in decreasing order.\nAnswer: -0.2, -172, -2654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -11*v**2 + 54*v + 11. Let j(a) = a**3 + 5*a**2 - 5*a - 5. Calculate the lowest common multiple of t(5) and j(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/(-2) - 1\/2. Let m(u) = u**2 + 10*u - 11. Let x be m(-10). Let q = 9 + x. Put q, w, 1 in increasing order.\nAnswer: q, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 5:31 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*r - 3*h + 27, 0 = -5*r + 5*h + 5. Let c be (5\/(-2))\/r - (-133)\/14. Solve c = 3*k, k - 18 = 3*a - k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00555402 rounded to 5 decimal places?\nAnswer: -0.00555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -204, -308, -410, -510, -608?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 25328.85 to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 3) in base 6?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 37*v - 30*v = -3, 4*c - v = -4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.3 + -6.3. Which is the biggest value? (a) q (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-20)*(-100)\/(-60).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 6, -4*n + 1 = -a - 10. Solve -17 = m - 5*i + 2, 5*m = n*i - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18783 divided by 3583.\nAnswer: -18783\/3583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -4. Let r(p) = p**3 - 8*p**2 + 6*p + 9. Let g be r(7). Let f = g - 0. What is the smallest common multiple of j and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21166555 - -3?\nAnswer: 21166560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express a**4 - 5*a + 8 - 22 + 13 as k*a**2 + w*a + n + p*a**3 + s*a**4 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/7)\/(h*h*(h\/h**9*h)\/h)*(h**(-4)\/h*h)**(-5\/12) assuming h is positive.\nAnswer: h**(170\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 78585 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 6 + -2 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -493 + 497. Put q, 1, 0, -1\/9 in descending order.\nAnswer: q, 1, 0, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 0, -0.1163, 1\/4055, -4, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 49*r + 191. Determine s(-7).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 7. Let k(i) = 3*i**2 - 4*i**2 + b*i**2 - 2 + 11*i. Let x be k(9). What is the greatest common divisor of 128 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 - 1. Let q be 6*(44\/(-24) - (2 + -4)). Let f(t) = 5*t + 9. Let l(s) = 3*s + 5. Let c(z) = 4*f(z) - 7*l(z). Give q*h(m) + 2*c(m).\nAnswer: -2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1368?\nAnswer: -1\/342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520515.\nAnswer: 3, 5, 43, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 66*x - 1579. Let l be k(-85). Solve 48 = l*g - 48*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 179 in 1.1, -1\/3, -3\/19, 1\/5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707 is divided by 350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.01 - -7.1. What is the nearest to -1 in 0, i, 2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 0*n**3 + 0*n - 16*n**2 + 7\/40*n**6 + 0*n**5 + 0 + 2\/3*n**4. Find the second derivative of u(t) wrt t.\nAnswer: 126*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from ggggyggyggy?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 10 = 10. Let d be (-5 + s)\/(0 - 3). Suppose 10*z - 5*z + 10 = d, 0 = 5*l + 3*z - 19. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17291855 divided by -2.\nAnswer: -17291855\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -14*k + 7*y, 8472*k + 20 = 8473*k - 5*y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/28)\/((-27)\/(-42)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 - -77. What is the greatest common factor of 119 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -31) + -11 + 2 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18026394 is divided by 379.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -1\/15*h**5 - 2\/105*h**7 - 1\/20*h**6 + 0 + 2*h**2 - 1\/24*h**4 - 1\/336*h**8 + 0*h**3 + 0*h. Factor w(x).\nAnswer: -x*(x + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3031, -12103, -27215, -48361, -75535?\n\"Answer: p**3 - 3026*p**2 - p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 4. Suppose -4 + 10 = 5*q - v, 4*q = 3*v - 4. Suppose 0*m - 4*d + g = 5*m, 5*m + q*d = 18. What is the lowest common multiple of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, d: 7, p: 2, h: 3, t: 2}. Give prob of sequence ydyt.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t = 20. Let z(b) = -b**2 + b. Let d(x) = 4*x**2 - x + 2. Let h(l) = d(l) + 5*z(l). Determine h(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) - 5\/(-10). Suppose 1 = u - h. Solve -u*k + 4*k = -8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 10*s + 6. Solve 19*l + s*l + 95 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x**4 + 2*x**4 - 12*x**4)*(-3 + 1 + 3 + 2 - 1 + 9 + (-2 + 1 + 0)*(-2 + 4 + 4)).\nAnswer: -90*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 8*w**2 + 2. Suppose a + 4 + 2 = 0. Let t = -4 - a. Suppose -2*c = -0*s - t*s + 12, -3*c - 20 = -2*s. Give g(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2550?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - (0 - (-24)\/6). Suppose -3*r = -4*j + 17, 5*j + 0*j - 50 = -2*r. Solve -5*m = 2*k - j, n*m = k + 4 + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -1\/2 (c) -0.4 (d) 4 (e) 12\/25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + d + 22 = 26, -9*h + 7*h = 16*d - 64 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from {q: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, 2\/7, 0.16, -5\/2?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172452 is divided by 117.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4879661 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (320\/(-384))\/((-15)\/(-27)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewwwwtwetwttwt. Give prob of picking 2 e.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -612501*k**2 - k + 12. Let j be g(-4). Round j to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 7 + 1. Let h be 4 - (z\/2 - -523). Let w = h + 5206. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z - 1. Let d(r) = 13*r - 9. Let a(l) = -6*l**2 - 74*l - 23. Let j be a(-12). Let f(u) = j*d(u) + 5*o(u). Calculate f(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 425, 807, 1189, 1571?\n\"Answer: 382*v + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 619, 6, 28\/5, -8\/97?\nAnswer: -8\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 125 (c) -0.11 (d) -5 (e) 0.2 (f) -5\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 1. Let z = 23 - 26. Suppose -4*g = g + 150. Let r be (1\/(-3))\/((-5)\/g). Let f(y) = y + 2. Calculate r*f(b) + z*l(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*d + 1275 = -54*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11929257 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*(57 - (3 + 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5361 is divided by 1711.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times -0.0296\nAnswer: 0.002368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-7) + 9\/(-7) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/368)\/((-97443)\/(-1296) - 75)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 566*l + 151797. What is t(-264)?\nAnswer: 2373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 11, 0.18, -936, 2\/3.\nAnswer: -936, -1\/9, 0.18, 2\/3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224824406.\nAnswer: 2, 47, 61, 39209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**4\/4 + 760*h**3 - 15*h**2\/4 - 4555*h\/2 + 1520 = 0 for h.\nAnswer: -608, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -32. Suppose 4*u - 8 = 5*w, -4 = -2*u - 0*u + 3*w. What is the first derivative of -u - 6*c**g + 2*c**3 + c**3 wrt c?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.57793 nanograms in milligrams?\nAnswer: 0.00000357793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b + 10. Let h be -6*(0 + 3\/(-6)) - 6. Let s be q(h). What is the highest common divisor of 176 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-4))\/(1018\/(-509)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2104 + 2228. Calculate the remainder when 360 is divided by s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 14 = b. Let v(r) = 2*r - 14. Let f be v(b). Suppose -49\/3*p**f + 0 - 4\/3*p**2 - 28\/3*p**3 + 0*p = 0. What is p?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-3 + 1 - -2). Calculate the common denominator of 67\/9 and (-215)\/15*i\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = g + 64. Suppose 3*n - 16 = o, 0*n + 2*n - 4*o - 4 = 0. Calculate the smallest common multiple of g and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 21, 12, 940, -2\/3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36714 + -2627?\nAnswer: 34065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/1 + (-21)\/(-7). What are the prime factors of (-40)\/12*(3 + o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1279*l**2 - 29*l + 51. Let r(f) = -426*f**2 + 10*f - 17. Let o(h) = -17*r(h) - 6*w(h). Find the second derivative of o(m) wrt m.\nAnswer: -864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 0\/1)\/(3888\/1458). Suppose -3*j = j + 20. Suppose b + 5 + 7 = -4*d, -8 = 2*d. What is the smallest value in j, u, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16 - -1) + (-2 - 0). Let h be 0 + 3 - -49*20\/140. Calculate the greatest common divisor of v and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 612 + -604. Solve -w - q = 9*k - 12*k, -3*w = -k + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**5\/5 + 1512*v**4\/5 - 900*v**3 - 16*v**2\/5 + 1200*v = 0.\nAnswer: -1, 0, 2, 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-371)\/94234)\/(3\/(-12)).\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) - (5 + -1*sqrt(468))) + -5)**2 + 2 - ((sqrt(468) - (sqrt(468) - -1*sqrt(468))*2)**2 - (3*sqrt(468) + -4)**2))*-4.\nAnswer: -7960 + 1536*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in sixty-three eighths of a tonne?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 5)*(21 - 61 + o - 59).\nAnswer: -3*o + 297","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 10*p**2 + 8*p - 6. Let y be b(9). Let j be y\/(-18) - 2\/4. Put j, 2, -0.5 in descending order.\nAnswer: 2, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 - 139. Is -81 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 905167, 905144, 905111, 905062, 904991?\nAnswer: 904892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17887 + -17932 + (-1 - 1) + 172.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - 10 - (18 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 206\/20 + (5 + -7)\/(-2) and 129\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y - y + 280 + 160 = 0 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2 - i + 3. Let t(r) = 6*r**2 - r + 4. Calculate -4*t(z) + 5*y(z).\nAnswer: z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*u + 299*u - 572*u.\nAnswer: 17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c. Let m(i) be the first derivative of -i**4\/8 + i**2 + 1. Let g(u) be the second derivative of m(u). Determine f(g(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)\/((s\/s**1)\/s))**(-32\/7) assuming s is positive.\nAnswer: s**(-64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -66, -95, -124, -153?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 + 2*x**2 + 1. Calculate g(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/40*15\/6. Solve -5*s - 6 = -3*r, -3*r + 8*r - 10 = m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 12*w - 10. What is the remainder when r(10) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 47 = -53. Suppose 825 = -j*k + 5*m, 0*m + 390 = -k - 5*m. Let z = -281 - k. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17693 + 17691. Which is the nearest to z? (a) -1 (b) -3\/2 (c) 143 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1554.135 - -34264\nAnswer: 35818.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2115 divided by 4\nAnswer: -2115\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 223859 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: Express -2*m**3 + 4251835*m + 442 - 4251833*m + 2*m**2 - 2*m**2 in the form s + d*m**2 + x*m + c*m**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/4)\/u**24*u**18\/u**(4\/7) assuming u is positive.\nAnswer: u**(-191\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7626 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from nqnnqqyoqqtnngo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 - 6*r**3 + 6*r**3 + (4*r - 4*r - 2*r)*(r**3 - r**3 + r**3) - 3*r**4 - 11 + 11 - 2*r**4 + r**4 + 0*r**4.\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) - 21\/(-6). Let j be 0 + -3 + n - 1. Solve -2*f = -j*f + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + 3*h**4 - 40 + 41 + (2*h**2 + h**2 - h**2)*(-h**2 + h**2 - 2*h**2).\nAnswer: -2*h**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4182191 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from pggg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95274 and 21409?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-4)*f)**(-3\/46))**(-26\/3) assuming f is positive.\nAnswer: f**(-26\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/45*(((-11)\/(-3))\/11)\/(10\/(-90))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -211 - -214. Let o = 0.23 + -0.03. Which is the third smallest value? (a) z (b) o (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-21) - 10\/35 - -476?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 77?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 20)\/((-7)\/(-14)). Let m = -3 - a. Let d be (4\/(-10))\/((-7)\/m). Solve 4*l = 4, -d*j = -7*j - 5*l - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1080)\/3720)\/((-9)\/372)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 + 22020?\nAnswer: 21230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - q**2 - 4*q - 2. Let o be t(-3). Suppose 0 = d + 10 + o. Is (1 - 0)*-1 - d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2 times -0.6?\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (3 + 2 + -3 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2717 - 12469?\nAnswer: -15186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*t - 1917 + 2227 = 0 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a + 12 = 0. Let g = -3 + 9. Let b(i) = i + 4*i - g*i + 3. Give b(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.62 take away 87?\nAnswer: -78.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 0*p + p)*(p - p + 2*p) - 2*p - 2*p**2 + 2*p + 152*p**2 + 50*p - 5358 - 150*p**2 + 5364 in the form j*p**2 + i + u*p and give u.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 26.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146 + 185.3. Round r to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o + 1. Let f be u(1). Let q be 6 - (2\/4)\/(5 - (-19)\/(-4)). Let r(h) = 5*h**3 - 4. Let i(p) = 6*p**3 - 5. Calculate f*r(n) + q*i(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -231*z**4 + 4128*z**3 - 7083*z**2 + 2706*z + 480 = 0.\nAnswer: -10\/77, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 120766 divided by -10?\nAnswer: -60383\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.4810781 centuries?\nAnswer: 48.10781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1\/6 (c) -5 (d) -4 (e) -805\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, e: 1, k: 2, a: 4, q: 3}. What is prob of sequence kk?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 2882.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 5)*(-38*l - 9448 + l**4 + 9449 - 2*l**2 + 113*l - l**3) to the form y*l + n*l**4 + f + t*l**3 + g*l**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1917218266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z**2 - 4*z - 4. Let x(n) = 12*n**2 - 7*n - 7. Let o(g) = -5*s(g) + 3*x(g). What is o(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21348 by -21.\nAnswer: 7116\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.1, 2, 12\/35?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -234*f**2 - 9 + 117*f**2 + 104*f**2 + 13*f + f**3. What is q(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*w + 1806 = 1638 - 3945 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.99962 + -25. What is w rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b - 17*b + 2028 = 11*b for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/70 + (-12)\/28.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -37274*u + 8. Let f(s) = 7*s. Calculate c(f(t)).\nAnswer: -260918*t + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 10:42 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 14 (c) -3 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 5*d + 5 = 0, 27*d = -2*j + 24*d + 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/3 - 1354*h**3\/3 - 137870*h**2\/3 - 133826*h = 0.\nAnswer: -553, -121, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -127*b - 505. Let y be t(-4). Let a(s) = -30*s + 1. Let q(j) = -j + 1. Determine y*q(p) - a(p).\nAnswer: 27*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -0.5, -39, -1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*n - 701 - 440 - 455 = -452 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7219.9999986713 + 7220. What is l rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 2*q**2 - 4*q**2 + 7 + 46 + 16*q**2.\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v - 16. Let x be z(-6). Let n(c) = -24*c + 15. What is the hundreds digit of n(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 65115.4mm?\nAnswer: 65115400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-105)*(-9)\/(-12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 263211 and 31824.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*c + 5*f - 15, -45 = -5*c - 46*f + 50*f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/8 - 11*s - 89\/8.\nAnswer: (s - 89)*(s + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06831 - 58.52831. Let z = -59 - n. Let p = z - -0.24. Which is the second smallest value? (a) 0.2 (b) 0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114996489.\nAnswer: 3, 439, 87317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (27 + -26)\/(4 + 63\/(-15)). Put -96, 5, 3, p in decreasing order.\nAnswer: 5, 3, p, -96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*h + 22 + 14, -4*h = -3*y - 30. Let k = y - -31. What is the greatest common divisor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 21719a6?\nAnswer: -2171a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6\/(k*k\/k**(-4\/3)))\/(k*k\/(k\/k**1)*k*k\/k**8)*(((k**(2\/5)*k)\/k)**(6\/11))**30 assuming k is positive.\nAnswer: k**(436\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*m + 6 = -66*m. Find the third derivative of 2*q**2 - 18*q**m + 5*q + 10*q**2 + 9*q**3 + 7*q**2 + 5*q**4 + 6*q**2 wrt q.\nAnswer: 120*q + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -18 + 24 - (6 - -2). Let b be (640\/(-24))\/(-8) - t\/3. Solve h - 15 = -b*n, -n + 5*h = 3*n + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -329\/16 (c) -0.1 (d) 2 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.93 times 0.1?\nAnswer: 13.593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -1, 5, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 78*((-15)\/((-495)\/(-22)))\/(-2)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2\/13 (c) 5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -257a (base 12) to base 15\nAnswer: -13ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 159211003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 19*n**3 + 18*n**2 - 4*n + 9. Let i(d) = 9*d**3 + 9*d**2 - 2*d + 4. Determine 4*g(u) - 9*i(u).\nAnswer: -5*u**3 - 9*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/40)\/((-7)\/(-371)*-1) and -58\/75?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 534 divide 5397138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/8)\/v**(1\/14)*(v**2)**(4\/15))\/((v\/(((v*v**(-2\/9))\/v*v)\/v)*v)\/(v**3*v))**18 assuming v is positive.\nAnswer: v**(27373\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 5. Let a(d) be the second derivative of -2*d**3\/3 - 19*d**2\/2 + 2*d. Suppose 0 = 5*f + 2*j - 47, j + 542 = -5*f + 588. Calculate f*q(s) + 2*a(s).\nAnswer: s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3996 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, 3, 5, 7.\nAnswer: 3, 5, 7, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3514 + -1608. Let p = f - 1307. Suppose 0 = 4*z + 8, -5*z + 4*z - p = -3*a. What are the prime factors of a?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -4\/5 (c) 6 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 + 2*v - 2*v + (16*v**2 - 3*v**2 + 11*v**2)*(1 - 2 + 0))*(9 - 4*v + 5*v + 4 - 62) in the form h*v**2 + s + t*v + o*v**3 and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 381 or -11?\nAnswer: 381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*w = k + 262, k + 4*w = 131. Suppose -4*a + 9 = -k. Calculate the highest common divisor of a and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 6*m - 3*w - 4, -3*w + 14 = 4*m. Suppose -6 = m*q - 10. Suppose -1 = -2*l - 3. Which is the second biggest value? (a) l (b) q (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*s + s - 5*s)*(-2*s - 2 + 2) + 3*s**2 - 1 + 1)*(4 + 1 - 2) in the form a*s + t + r*s**2 and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*g + 43*g + 31*g + 16*g.\nAnswer: 149*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1836108399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(-24))\/(10\/(-9)). Let l = -0.6638 - -1.6638. Let t = -0.08 + -0.22. Sort l, t, d in decreasing order.\nAnswer: l, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 12672608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9038 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6769 + 6784 + -26 + -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197450?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a millennium in decades?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1)\/(-3 + (-7)\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179342903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20331)\/(-372735) + (-2897)\/(-330).\nAnswer: 53\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37.68 + -0.68. Let s = -28.9634 - 8.0396. Let w = i + s. Round w to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22004 + -8842. List the prime factors of d.\nAnswer: 2, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 315, -123, -1351, -3777, -7809, -13855, -22323, -33621?\n\"Answer: -68*w**3 + 13*w**2 - w + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265239 and 1179.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -611553 (base 7) in base 10?\nAnswer: -103869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 128305351 - -0.06\nAnswer: 128305351.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 897, -2\/9, -12, -1, -1\/8?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (16*-14)\/(6293\/1798)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - s - 2. Let a be h(-6). Suppose 3*k + w = -98, 5*w - 74 = 3*k + 30. Which is smaller: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from {g: 4, b: 7, w: 2, e: 2, d: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6246\/7 - 55717\/63. Find the common denominator of y and ((-1)\/((-4)\/(-132)))\/(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -249 - -249. Suppose -8*r + 24*r - 160 = t. What is the greatest common factor of 25 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*r + 9 + 16 = 0, 25 = 5*a + 4*r. Let k(u) = u**2 + 6*u + 3. Let q be k(-4). Suppose -2 - 2 = -2*t. Put a, t, q in increasing order.\nAnswer: q, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2672*p + 8045. Calculate v(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 61280492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b8522 - -1?\nAnswer: -b8521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 7. Let n(a) = 27*a - 297. Let s be n(11). Calculate r(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*o - 6*o = -25, 5*k - 5*o - 25 = 0. Solve 32*g - 30*g + 10 = h, -2*h + 25 = -k*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 3*q**4\/4 - 441*q**3 + 73260*q**2 - 145200*q - 3311. Find x, given that m(x) = 0.\nAnswer: 1, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, s: 13, h: 3}. Give prob of picking 2 b and 1 s.\nAnswer: 13\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a + 93. Let t be w(15). Suppose 0 = -4*r - 0*i + 3*i + 9479988, t*r + 4*i = 7110016. What is r rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 1.7287?\nAnswer: 1.5287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020111200 + 122?\nAnswer: 1020112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148085 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 160?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36, -66, -104, -144, -180, -206, -216?\n\"Answer: v**3 - 10*v**2 - 7*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4867433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**3 + m**2 - 2. Let t(y) = y**3 - y**2 + 1. Let a(b) = f(b) + t(b). Let v(i) = 2*i**3 + 1. Let r = -8 - -12. Calculate r*a(n) + 3*v(n).\nAnswer: -2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 31. Let w = g - 15. Suppose -t - 7*o + 2*o + 100 = 0, o = -w. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 4:53 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30051020 (base 6) in base 16?\nAnswer: ceab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23125?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**2 + 25*c - 30 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from jqqqhkqqjajhh.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255362 is divided by 204?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f + 0*f)*(-f**2 - 3*f**2 + 2*f**2 + (2*f + 0*f + 0*f)*(-f - 4*f + 4*f) + f**2 - 4*f**2 + f**2 - 879*f**2 - 701*f**2 + 2028*f**2).\nAnswer: 442*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1cd - -4?\nAnswer: 1d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - 2*p**4 - 2*p**2 - 2*p**4 - 1 + 1 + 0*p**4 + 4*p**4 + p**4 + (p - 2*p - 3*p)*(2*p**3 - 3 + 3) - 2*p**4 - p**4 + 2*p**4.\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 72671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799 a factor of 6443398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abgzd. Give prob of picking 3 g and 1 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.058565 (b) 26 (c) 0.4 (d) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2. Let w(h) = 1. Let m(b) = -2*b - 13. Let k(g) = m(g) - 5*w(g). What is k(v(j))?\nAnswer: 4*j**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 193*x**7\/210 + x**6\/120 + 85*x**3\/6 + 259*x**2. Find the first derivative of h(r) wrt r.\nAnswer: 772*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 5*g**3\/2 + 13*g**2\/2 + 3*g + 80. What is j(-4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.43129 plus 173035?\nAnswer: 173056.43129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-21) + (-108)\/42. Sort 6, h, 0, -2.\nAnswer: h, -2, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13)\/2 - (-21)\/3. Which is the nearest to h? (a) -2\/13 (b) -0.1 (c) 0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*u + 11 = 31, -88 = -3*y + 2*u. Let g(d) = 19*d + 59. Let s be g(-2). What is the highest common divisor of y and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/15)*z**(-1\/18)\/z*z**(1\/9)*z**7)\/(((z*z*z*z**(1\/4)*z*z)\/z)**(-4))**(5\/7) assuming z is positive.\nAnswer: z**(11381\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001110000100111 (base 2) in base 16?\nAnswer: -39c27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 13 = 5*x, -4*r + r - 8 = -2*x. Suppose x = 5*v - 4. Let q(y) = 16*y - 1. What is the tens digit of q(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*(4 + 176\/(-43)). Let b = 2301\/430 - l. Find the common denominator of b and 2\/10 - 8505\/1400.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -44494*m - 3737504. What is j(-84)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*q + 4*q**2 - 31 - 5*q**2 + q**3 + 30)*(-5 + 7 + 10).\nAnswer: 12*q**3 - 12*q**2 + 180*q - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k + 19. Let a be p(7). What is the closest to 1 in a, 4, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233 - 2025*o + 2024*o - 67 + 4*o**2.\nAnswer: 4*o**2 - o + 166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1556302, -3112607, -4668912, -6225217?\n\"Answer: -1556305*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -148 - -147. Let y = -4.24 - -4.04. Let j be (2\/4)\/((-2)\/4). What is the closest to i in -4, y, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, -1, 15, 2, -6, 4 in increasing order.\nAnswer: -66, -6, -1, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1166, -1261, -1358, -1457?\n\"Answer: -i**2 - 92*i - 1073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = r - 5*o, -3*r - o - 2*o = -15. Let q = r + 22. Calculate the remainder when 110 is divided by q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**3\/3 + 370268*i**2\/3 + 17146181954*i\/3 + 274054619168 = 0.\nAnswer: -92543, -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.9 - -3. Let z = 168132 - 168132.4. What is the biggest value in z, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 6:51 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 1:46 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(2176))\/(sqrt(16)\/sqrt(2))*-4 + -1.\nAnswer: -3 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 - 5*j + 3 + j**3 - 3*j**2 - 4*j**2. Let d be l(5). Is (38\/d)\/((-4)\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -5, 3064, -4 in increasing order.\nAnswer: -5, -4, 0, 4, 3064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 3250?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23141.2 minus -5860?\nAnswer: -17281.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21264103.\nAnswer: 7, 1439, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 35564256*v - 105401358736128.\nAnswer: -3*(v - 5927376)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 238054 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 147*n + 748. What is the remainder when 185 is divided by b(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -1 + 5. Let x be 6 - 6\/w - -1. Suppose -x*b + 66 + 6 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r + 0*r**2 + 9*r - 2*r**2 - 16*r. Let u(s) = -295*s**2. What is j(u(y))?\nAnswer: -174050*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/663476 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4\/(-4))*(-1470)\/(-70).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f + 21. Let j(b) = -2*b. Calculate -6*j(l) - q(l).\nAnswer: 5*l - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yruwecr. What is prob of picking 1 c and 2 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/5220 and 67\/405.\nAnswer: 46980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31.2 and -0.06.\nAnswer: -1.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42*r**2 + 75*r**2 - 20*r**2)*(5*r - 2*r - 5*r) in the form z*r**3 + w + l*r + b*r**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmqscsmgcgecee. What is prob of sequence sg?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*w - 137 - 49, -4*w + 5*y + 359 = 0. Let v = 80 + -38. Suppose 3*t = -5*r + w - 33, -2*t = 4*r - v. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 9) to base 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(85)*-2*1)\/((sqrt(405) + sqrt(405) + sqrt(405) + sqrt(405) + -2*sqrt(405) + sqrt(405))*3).\nAnswer: -2*sqrt(17)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 0*t + 0*t + 4*t - 3*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t. Let o(i) be the first derivative of -i**4\/24 + 2*i**2 + 4. Let l(q) be the second derivative of o(q). Calculate z(l(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 76*((-2)\/12)\/((-5)\/(630\/(-42)))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 0.2, -48, -2 in descending order.\nAnswer: 3\/8, 0.2, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 131560 and 455?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1 = 3*r, -2*r + 27 = 5*w + 11. Let g(o) be the second derivative of 0 + 1\/30*o**4 + 0*o**w + 1\/100*o**5 + 1\/30*o**3 - 6*o. What is z in g(z) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 8415 in ascending order.\nAnswer: -1, 2, 8415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**4\/2 - 4791*g**3\/2 + 981255*g**2\/2 - 24353997*g\/2 = 0.\nAnswer: -1783, 0, 29, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*z - 10, 3*z + 4*h = -2*z - 5. Suppose 0 = l - z*l + 116. Calculate the remainder when l is divided by (-1 + (0 - 22\/8))*-4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (37\/((-10175)\/22))\/((4\/1)\/(-2))\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c - 28. Let z(w) = 2*w + 1. Let a(i) = -8*i - 3. Let o be 2\/(((-28)\/70)\/((-1)\/5)). Let f(s) = o*a(s) + 3*z(s). What is j(f(d))?\nAnswer: -8*d - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-64 - -3) + 1005 + -986 - (1 + 12)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 31434858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 127.\nAnswer: -38.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 = -4*g + 47, z = 4*g - 38. Suppose 0 = g*b - 5*b + 10. What is the units digit of (-1)\/((-2)\/b + (-456)\/450)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -684*n**2 + 114*n. Let t(i) = -i**2 - 2*i. Give -a(p) - 57*t(p).\nAnswer: 741*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-134 - -96) + (-3 - (-13 + 5 + -5))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 110992326 a multiple of 782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35233*k - 71934*k + 165 + 36702*k.\nAnswer: k + 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -652\nAnswer: -130.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*9\/((-54)\/(-20)). Let t be g + 7 - 3\/((-3)\/10). Let i(s) = -s**3 + 11*s**2 - 9*s - 14. What is the hundreds digit of i(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1029 - 1029. Solve -4*r = k, -5*r + 0*r = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*h, -3*q + 8*h = 12*h - 56. Suppose -90200 = -26*y + q*y. Round y to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 11*k**3 - 5*k**2 + 104*k - 198. Let t be c(2). What is the greatest common divisor of 11271 and t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -511060 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, z: 2, t: 1, m: 1, i: 3}. Give prob of picking 1 m, 1 i, and 1 z.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 138 = 2*o, -3*o + r - 6*r + 207 = 0. Calculate the greatest common divisor of 15 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + 2. Suppose -4*l + l = -7*l. Suppose 7*y - 252 = -l*y. Calculate the highest common divisor of y and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/54*88\/(-14)*(-2520)\/(-240)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.583 from 9514.236928.\nAnswer: 9511.653928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p + 302. Let k be v(47). Calculate the highest common factor of 76 and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9918274 - 3\nAnswer: -1.0081726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2776 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: What is -4103 (base 6) in base 15?\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1))**(-26)*x**(-2\/9)\/(x\/((x*(x**6\/x*x)\/x)\/x))*(x\/(x\/((x*x**(-2))\/x)))**(-13)*x**(-2\/9)*(x\/(x*x**(6\/7)))\/x assuming x is positive.\nAnswer: x**(-1531\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/3))**23)**(-33) assuming p is positive.\nAnswer: p**(-1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 1255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15a - -be?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((10 - 11) + (-1 - -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -990 or -975?\nAnswer: -990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvd when four letters picked without replacement from vdvvvvvvvvd.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(120)\/sqrt(5) - 3*sqrt(600))\/(((sqrt(84)*-3 - sqrt(84) - sqrt(84))\/sqrt(7) - sqrt(12)) + (sqrt(120)*-3 + sqrt(120))\/sqrt(10) + sqrt(12)).\nAnswer: 19*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2572643, -2572648, -2572657, -2572670, -2572687?\n\"Answer: -2*p**2 + p - 2572642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2418a5 + 68?\nAnswer: 241940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 13\/4 of a microsecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6\/7, -3, -81 in decreasing order.\nAnswer: -6\/7, -2, -3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppyppypppppppyp. What is prob of picking 4 p?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -78 + -0.0603806111039\nAnswer: -78.0603806111039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + -5 + 0 + sqrt(180) - (sqrt(5) + (sqrt(5) - -5*(sqrt(5) - (sqrt(5) + sqrt(5)*1)))**2)*6) + (5*sqrt(500)*1 - (-2*(1 + sqrt(500)))**2).\nAnswer: -2489 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -106*(-318)\/4 - ((-91)\/13 + 2) a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 3658 - 402 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -86.81 and 0.04.\nAnswer: -86.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10755 is divided by 142?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 866.3389 minutes in microseconds?\nAnswer: 51980334000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + (6 + 4 - 10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -334 (base 8) in base 2?\nAnswer: -11011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 9:54 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24358 minus -0.4?\nAnswer: -24357.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2063137 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 9*q**2 + 2*q + 27. Let p be d(-9). Solve -k = x - 2, -4*x + p = -7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9547656*-0.3\nAnswer: 2864296.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**5 - 14736*q**4 + 18066315*q**3 + 72427434*q**2 + 90596964*q + 36250584 = 0. Calculate q.\nAnswer: -2, -1, 2458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -12. Let x be 0\/(((-32)\/v)\/4). Suppose 5*m - 4*m - 12 = 0. Solve 3*r + 4*g + 4 = -x, -m = r - 4*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = z + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(3\/(-3))*-21. Let s = f - -3. Let o = s + 41. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 12000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/10*3410\/(-257796).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1248861, -2497714, -3746569, -4995426, -6244285, -7493146?\n\"Answer: -p**2 - 1248850*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -2, -72, -5, -0.6?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 6*u + 4*u + (3 + 4 - 2)*(7 - 7 - 3*u))*(3 - 3 + 5).\nAnswer: -95*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15693 + 3166791*i + 26*i**3 + 15693 - 3166793*i.\nAnswer: 26*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -561*d - 392*d + 291*d - 5078 = -49432 for d.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**3 + 45*k**2 - 132*k = 0.\nAnswer: 0, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3.3 (b) -0.3 (c) 0 (d) -4 (e) 0.0591\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 22 - 24. Suppose 0 = -5*s + 2*s - 6. Which is the nearest to -2? (a) -0.1 (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 176, 717, 1606, 2831, 4380, 6241, 8402?\n\"Answer: -2*x**3 + 186*x**2 - 3*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9 - 2. Let t be 3 + (-1)\/((-40)\/(-105)). Is t smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 7 = -1. Suppose 4*b = -v + 10. Suppose -64 = -2*t - b*t. Solve -d - t = 3*d, -2*d - 11 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1213331033123 + -1?\nAnswer: 1213331033122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 + -45.51. Let w = 67652 - 67651.50951. Let q = w - b. Round q to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/6)\/((-100)\/(-240))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12232, -49288, -111056, -197542, -308752, -444692, -605368?\nAnswer: -790786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 10, 2*c = -3*a - 0*c + 13. Is (a - 3)*4143\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/74 and (13 - (-2177)\/(-168))\/(2\/30).\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102180 is divided by 16948.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s - 9. Let a be c(4). Find the second derivative of 0*t**a + 0*t**3 + 10*t - 35*t**4 + 27*t**4 wrt t.\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 194, -8 in decreasing order.\nAnswer: 194, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274, -553, -834, -1117, -1402, -1689, -1978?\nAnswer: -2269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from ewzwiwezezezwvzzz?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5122808.32 from -0.2076.\nAnswer: 5122808.1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-20))\/((-16)\/(-40))*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 + 5*o**3 + 0*o**3)*(0*o - o + 6*o) + (0*o + 5*o - 4*o)*(o**3 - o + o).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 341*w**3\/6 - 831*w**2\/2 - 129*w. Differentiate d(g) with respect to g.\nAnswer: 341","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-30)\/9 - -4)\/((-1)\/(-3)). Suppose 48 = a*b + 6*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, s: 7, x: 3}. What is prob of picking 2 i and 1 x?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -94, -5\/4?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from blbbbbbbbbbbbbllbb.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36898 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1859 a factor of 482051675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 368 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 13*z + 11*z + 16 = 0, -5*z = -2*u + 18. What is the remainder when 208 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g + 6. Let q(v) = 2*v + 5. Calculate -2*k(m) + 3*q(m).\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(340\/(-8))*-3\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-8 + 4) - (6 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/105 and -163 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 c, and 1 q when three letters picked without replacement from {q: 4, u: 4, c: 2, y: 2, d: 1, s: 1}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -1, -5, -0.203, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 813, 821, 837, 855, 869, 873?\n\"Answer: -u**3 + 10*u**2 - 15*u + 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1584, 0.02, 0.8?\nAnswer: -1584","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (8\/7)\/((-45)\/(-280)) and -61\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.004 + 0.144. Let c = h + -0.04. What is the second biggest value in 8, c, 3\/5, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mam when three letters picked without replacement from lmvmamvmvl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86246 = 3752*j - 110602 - 133228 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*h - 119460 + 118434 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -153332 + 271093. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h + 3802 + 12*h + 1123 + 4*h - 1048.\nAnswer: -h + 3877","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 9*v - 5. Let r be c(-11). Calculate the greatest common divisor of 17 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/376343?\nAnswer: 3\/376343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3922581 divided by 1307527.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -3)\/((-3)\/(-2))*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5 = -17. Find the second derivative of 4*m - 7*m - v*m**4 + 3*m**4 + 5*m**5 wrt m.\nAnswer: 100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b = a + 41, -4 = -4*a. Calculate the lowest common multiple of 6 and b\/2*(-4)\/(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2085928529?\nAnswer: 2085928529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -168 + 225. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1508 = j - 276, -4*j = 5*x - 7139. List the prime factors of j.\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27040 - -1576?\nAnswer: -25686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2688 (b) 5 (c) -12 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 6. Let a be g(7). Is 40 a factor of 2\/11 + (-11100)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h**3 - 35*h**3 + 20*h**3.\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 2 - 5*(sqrt(19) + 1 - sqrt(19))) + -1 + 5.\nAnswer: 1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15831.\nAnswer: 3, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7342*a - 933.\nAnswer: 7342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6690.\nAnswer: 2, 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.295 - -0.2817. Round i to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137 or 143?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89082 and 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3616126?\nAnswer: 2, 29, 62347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*3*sqrt(170))\/sqrt(10))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20619590 by -20255.\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 10*g**2 - 225*g - 358. Let v be k(24). Solve -8 = -2*y + 3*p, 35*y = 30*y + v*p + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) 3 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 - 757*x + 2. Let l(j) = j + 155. What is f(l(d))?\nAnswer: 4*d**2 + 483*d - 21233","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17088 = 40*k - 42*k + 2*n, k - 4*n = 8547. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-10)\/4*20\/25. Are v and -9\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 4 + 0*j**3 + 7\/2*j**2 + 0*j + 1\/4*j**4. What is the second derivative of g(k) wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 4*c - 4*c)*(2 - 1 - 3) + 10*c - 3*c**2 + 2*c**2 + 5*c.\nAnswer: 3*c**2 + 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 2*h + 2*h - 4 as b*h + j and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + (-28)\/(-6))*264\/(-32). Let l = -19 - z. Solve -3*j - 5*d = 2, l*d - 2 = -j - 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1377) + sqrt(1377) + 5 + -1 + sqrt(1377) + (sqrt(1377) + sqrt(1377) + 0)**2*-3 + -4)*2 + 0.\nAnswer: -165240 + 270*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from rhhrhrrhhhrrh?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 7:58 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.4 + 11. Sort -1\/4, 3\/2, o.\nAnswer: o, -1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 3*r**2 - 3*r. Let m be s(4). Suppose -2 = c - m. Factor -2\/3*h**c - 2\/3*h**3 + 0 + 0*h.\nAnswer: -2*h**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/5 + 23\/5. Suppose -4*s = c*y + s - 15, 2*s + 34 = 3*y. Let o = -23 + 39. What is the highest common factor of o and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13\/126 - -1\/9. Find the common denominator of r and -25\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -11 + 33*m**2 + 3*m - m**3 - 14*m**2 - 14*m**2 - 9*m**2. Let j be q(-5). Let v be 1 - 5 - 0 - j. Is -2 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - 3*v + 3*v - 3 + (29 + 6*v - 29)*(-2 + 0 + 3) - 17 - 32*v + 17.\nAnswer: -25*v - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s + 8 = -31*s. Which is the third smallest value? (a) -11 (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 360\/(-25)*(0 + -5). Suppose -p - 2*j + o = 2*p, -5*p = j - 120. Suppose 3*y - 3*l + 8*l - p = 0, 2*y - 3*l = 35. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11921215?\nAnswer: 5, 37, 64439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y. Suppose 37*o - 5*o = 704. What is the lowest common multiple of o and g(2)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 10. Let y = 1260 + -1276. Let z(k) = k**3 + 5*k**2 + 2*k. Let r be z(-5). Let x = r - y. Give h(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(180)*5 + 1 + 4).\nAnswer: -120*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkt when three letters picked without replacement from tktkttktktt?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010111 + -10110101000011000010?\nAnswer: -10110101001010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77*r**4 - 2*r**2 - 495 with respect to r.\nAnswer: 308*r**3 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 7*g + 2*o = -332, -3*o + 798 = 5*g. What is the highest common factor of g and 1458?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 1. Let k be (-9 + 4)*(36\/20 + -2). Let m(v) = 3*v**2 - 3*v + 6. Give k*m(o) - 3*p(o).\nAnswer: 3*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1470.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -505*w**3 + 101 - 163 + 2*w**2 - 35*w - w**2 + 105 wrt w.\nAnswer: -3030*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10111 (base 2) to base 4\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z + 11*z**2 + 1733*z**3 + 8*z - 1736*z**3.\nAnswer: -3*z**3 + 11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/15 and 13\/4179.\nAnswer: 20895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 3. Suppose 4*g - 2 - 6 = -2*s, -3*g = 5*s + j. Find the second derivative of 4*m**3 - 6*m**g + 4*m**3 - 3*m - 3*m**3 wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11313140 (base 5) to base 15\nAnswer: 20cea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53922?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, f: 6}. What is prob of picking 1 v and 2 f?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-12456)\/774)*9\/(-36)\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148172 is divided by 553.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.8 - 3.8. Which is the biggest value? (a) 1 (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -12, -0.9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/4635084 and -91\/87612176?\nAnswer: 4468220976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397773.\nAnswer: 3, 193, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4446907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h + 8. Let u be z(6). Let o = -767 - -823. Let x = o - u. Calculate the least common multiple of x and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4191 + 4219. Solve -v + 24 = -f - t, 5*t = 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 34. Let l(x) = 4*x - 4. Suppose 5*y - b = 5 + 20, -3*y - b = -7. Let m be l(y). Solve z - m = -s*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 31. What is the nearest to -0.3 in -2\/7, d, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -115*c + 437. Give o(5).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/y**(-4\/7))**(29\/5)*((y*y\/(y\/((y\/(((y**(-2\/3)*y)\/y)\/y))\/y)*y))\/y*y**(-4\/3))\/(y**5\/y**(2\/11)) assuming y is positive.\nAnswer: y**(-2507\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**6\/120 - z**3\/3 + 1. Let h(q) be the third derivative of v(q). Let r(o) = o. What is r(h(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - 0. Let x = -14.99999764 - g. Round x to seven decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528*y - 545*y - r - 32 = 0, -2*r = 4*y + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**6\/120 + k**5\/15 - 5*k**4\/24 - k**3\/3 + 97*k**2\/2 + 30*k. Let r(v) be the first derivative of c(v). What is r(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29882\/22425 + 6\/7475. Factor -4\/3*b**3 + w*b**5 - 16*b - 4*b**4 + 16\/3 + 44\/3*b**2.\nAnswer: 4*(b - 2)*(b - 1)**3*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 13. Let a(l) be the second derivative of -l**4\/12 + 11*l**3\/6 + 10*l**2 - 88*l. Let r be a(11). What is the highest common divisor of r and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 495 and 2638755?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h = 2. What is the least common multiple of h and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -46. Let n(b) = b**2 + 17*b - 77*b + 39*b - 18*b + 334. Let g be n(27). Calculate the greatest common divisor of g and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 74*y**2 + 874*y - 1065. Determine g(9).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4456 - 28369 = -65*a. Which is smaller: a or 507?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1360314951?\nAnswer: 3, 453438317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/(-6*(-2)\/(-16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 8*r + 2226390 = 0. Suppose 5*p = r - 11139. Round p to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*g + 2 + 66 - 8*g**3 + 7*g**3 + 0*g wrt g.\nAnswer: -3*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/435267 and 37\/693?\nAnswer: 4787937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 855 and 105735.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.048 + 0.352. What is the second smallest value in 65, 0.1, 2\/15, u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/81 - (-2)\/3)*2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -w - 368, 0 = 4*x + 2*w - 101 - 185. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.54448 * -39\nAnswer: 99.23472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 62, 85, 128, 197, 298, 437?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**5 - 1256*i**4\/5 + 30452*i**3\/5 - 17672*i**2 - 278736*i\/5 + 11808 = 0. Calculate i.\nAnswer: -82, -2, 1\/5, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g**3\/11 - 190*g**2\/11 + 48*g\/11 = 0 for g.\nAnswer: -24, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 10*a**2 + 17*a + 8. Let m be y(-8). Solve m = -c + 3*v + 12, 0*c - 12 = c + 3*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34\/127 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000696 rounded to five dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*a + 25 = 0, 2*o - 5*a - 2 = 8. Put 6, -5, o, 2 in ascending order.\nAnswer: -5, 2, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 562 and 7912.\nAnswer: 2223272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Let q(n) = 6 - 12*n + 3 + n**2 + 0*n - f. Is q(12) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -593*a. Let l(i) = -7*i. What is n(l(g))?\nAnswer: 4151*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.35574 meters to nanometers.\nAnswer: 7355740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-23)*t\/(t**(-2\/7)*t)*t*t)\/(t*t**(-2\/5))**(10\/17) assuming t is positive.\nAnswer: t**(-2388\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*m + 337*m + 2*n = -4, 2*n + 5 = 7*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 19\/11, -2\/3, 145?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47389203637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 10*l**2 + l + 20. Determine x(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 2*s = 68, 81*p - 2*s - 66 = 77*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0028563615 to six dps.\nAnswer: 0.002856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + s = 18, 19*s - s - 313 = -r + 4*s - 19*s + 86 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (26\/(-195)*5)\/((-2)\/12). Solve 5*d - 2*d + b*x = -13, 5*x + 20 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5071)\/(-5) + 644\/805 is divided by 54.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + 3 + -8 - 17.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - r = 747, 4*r + 161 + 195 = -h. Which is smaller: -374 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 650, 595, 536, 473?\n\"Answer: -2*k**2 - 49*k + 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-70)\/(-15) + -2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from dhhdjg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162413640?\nAnswer: 2, 3, 5, 150383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16197580692 minus 278?\nAnswer: -277.83802419308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -310301 + 11?\nAnswer: -310250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 176*j - 2283. Let w be f(13). Solve 3*h - w = 2*u, -6*u - 5*h = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 3*r + 9*p - 20, 0 = -3*r + p + 22. Calculate the highest common divisor of r and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4055 - 36*n**4 - 36052*n**2 - 1961*n**3 - 367*n**3 - 21479 + 51216*n.\nAnswer: -4*(n + 33)**2*(3*n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -30. Let x(o) = -o**3 + 3*o**2 + 10*o + 3. Let p be x(d). Suppose 4*u - 3*t = 3365, -2*t = -p*u + 6*u - 2511. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 7:05 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 - 107*p**3 - 7*p**2 + 316*p**3 - 210*p**3 + 13*p**2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/12*32\/(-72)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 - -105. Let t(s) = -s**3 + 7*s**2 - 3*s - 14. Let k be t(6). Suppose 6*m - 100 + k = 0. What is the remainder when o is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212145302 (base 6) in base 12?\nAnswer: -1308232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/6)\/(2*(-7)\/21). Suppose 0 = h*s + o - 156891, -42*o = 4*s - 45*o - 125528. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7263587, 7263571, 7263557, 7263545, 7263535?\nAnswer: 7263527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -186*s + 3. Let i(c) = -49 + 49 + 1511*c - 1508*c. Determine i(d(q)).\nAnswer: -558*q + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4) + 230373\/18. What is f rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 + t**2 + t - 1. Let l(s) = 8*s**2 + 3*s - 2. Determine l(z) - 3*x(z).\nAnswer: 6*z**3 + 5*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - k - 3*k + 10*k + 2*k - 13*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833437.\nAnswer: 11, 75767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 281392957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from {j: 1, c: 2, q: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 43\/(-86)*(-3*8\/(-30))\/((-15)\/(-675))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.89 + -118.11. Let d = 67 + v. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13737 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: Suppose -o + 2*g = -1634, 2*o + 3*o + 3*g = 8144. Calculate the common denominator of 1 + (-4)\/3 + o\/(-420) and (164\/8 - 1) + 2 + 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 t when three letters picked without replacement from {m: 1, t: 2, z: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v - 3*v - 3*v + (-2 + 4 - 4)*(2*v + 2 - 2) - v - v + 0*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47)\/(4700\/4240)*((-110)\/(-121))\/((-4)\/(-11))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28 times 511\nAnswer: -14308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f. Let w = 49 - 60. Let v(a) = -a. Suppose 11 = -5*x + 1. Let q(p) = w*v(p) + x*l(p). Let t(n) = -n. Give q(t(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11352.3 + -17651.8. Let o = p + 29003.8299924. Let v = o + 0.27. Round v to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55251 is divided by 720?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 3\/2, -2, 3 in decreasing order.\nAnswer: 3, 3\/2, -2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in -19\/4, 4, 1\/4, 5, -59?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -27. Let t = -15 - -4. Let w = t + k. What is the third smallest value in w, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 12, -3*r - 1033985 = -7*r + 3*j. Suppose -s - 263012 = -3*s. Suppose -r = -a + s. What is a rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*n - 76, -8*n + 4*x = -4*n - 80. Calculate the highest common divisor of 32 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(3) + 0 + sqrt(18)\/sqrt(6).\nAnswer: -3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-176)*(8 + -4)\/(-2). Let k be (0 + -2)*(-2)\/(-20). Is l bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from akk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1090\/327)\/(215*-1).\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25710, 4, 34 in increasing order.\nAnswer: 4, 34, 25710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -16*i**3 - 31*i**2\/2 + 2*i. Is a(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -60 and 1964.352649.\nAnswer: 1904.352649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from {y: 6, q: 2, o: 3, j: 3, c: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130555*u**4 - 167465 wrt u.\nAnswer: -522220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -560, -2803, -5046, -7289, -9532, -11775?\n\"Answer: -2243*p + 1683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1853868 + 74?\nAnswer: -18537b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.464 - 0.064. Which is the nearest to 2? (a) -2 (b) t (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*d - 12. Suppose o = 6*o. Suppose 0 = -o*t - t + d. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -22*t - 124. List the prime factors of l(-20).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 - -67. Suppose -y*o + 45 = 4*s, -o + 3 = -2*s + 8. Suppose -5*d - 4*p = -20, 7 + 3 = -2*d + 2*p. Solve 3*b + 2*a - 13 = d, -s*b - a + 2 = -8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -612553 times -0.1?\nAnswer: 61255.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(91) - -2*sqrt(91)) - -6*(sqrt(91) - -2*sqrt(91)))*5)\/(-1*(sqrt(567) + sqrt(567)*-3 + sqrt(567))*2) + 1.\nAnswer: 1 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1267996.\nAnswer: 2, 17, 29, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f - 57. Give l(-8).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 8:07 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 8) in base 11?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 6 = 2. Let f be ((-2)\/(-3))\/(3\/36). What is the highest common factor of i and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -2\/9 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*b - 2. Suppose -2*w - 3*n - 46 = 3*w, 42 = -5*w - n. Let h = b - w. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 391818, 783471, 1174946, 1566237, 1957338?\nAnswer: 2348243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -52527.8 and 0.1.\nAnswer: -52527.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 7*z**2 - 5. Let q(b) = b**3 - b**2. Let k(f) = 4*q(f) - r(f). Let p(g) = -g**2 + g. Let n(y) = -k(y) - 3*p(y). Is n(-2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3*x**2*y + 2*j**3*x**2 + 53*j**3*x*y**2 + j**2*x**3 + 4*j**2*y + 47*j*x**3*y**2 - 161*j*y wrt y.\nAnswer: 106*j**3*x + 94*j*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**3*t + 3202*r**3 - 7143*t wrt r?\nAnswer: 6*r**2*t + 9606*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 t when two letters picked without replacement from twtwaatwttaptptpwtp?\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 3)*3 + 1)**2.\nAnswer: 240*sqrt(5) + 820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 46*r**2. Let u(p) = p - 1348. What is u(z(q))?\nAnswer: 46*q**2 - 1348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13255 - 520*n**2 + 13255 + n.\nAnswer: -520*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-43)\/602)\/(12\/7 + -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/5, -66\/103, -3?\nAnswer: -66\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -725 + 726. Is j >= -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -2*a**5\/5 - 3*a**4\/2 - 2*a**3\/3 + 3*a**2 + 4*a - 5. Let z(t) = 0. What is t?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5397?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -13 - (69 + -57)) + -2 + -13?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9, -15, -21, -27, -33?\n\"Answer: -6*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64326685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -237070 - -6112\nAnswer: -230958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -12. Let m = s - -12. Let n = m + -15. Which is the biggest value? (a) -0.4 (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14494 - 5430. Suppose -5*o - 3*o + p = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257076?\nAnswer: 2, 3, 37, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1743, 3489, 5239, 6993, 8751?\n\"Answer: 2*w**2 + 1740*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - z**2 + 0*z**2 + 2*z)*(-143*z - 78 + 78)*(0 - 1 - 1).\nAnswer: -286*z**3 - 572*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -0.105\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 + 34)*((-4)\/21)\/(32\/(-432)). What is the highest common factor of 76 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2075072 (base 11) to base 9.\nAnswer: -6776058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 12*i**2 + 5*i**2)*(172 - 80 - 95 - 6*i).\nAnswer: 54*i**3 + 27*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/7))**(-1\/11)*l\/l**13*l**16 assuming l is positive.\nAnswer: l**(300\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10282 and 1358?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 480\/7 + -68. Let p = -0.045 - -130.045. Let c = p + -142. What is the smallest value in q, c, -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*sqrt(605) + 3 - (sqrt(180)*3 - (1 + sqrt(20))))**2.\nAnswer: -90*sqrt(5) + 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from iixninkkx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 174126833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 204\/2*18\/27. Suppose 2*o - 8 = x. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7085225, -7085223, -7085221, -7085219?\n\"Answer: 2*i - 7085227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2205 and 221823?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 3*y**4\/4 + y**3\/6 + y**2\/2 + y. Let l be (4\/(-2) + 1)*1. Is j(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2252, -3605, -4960, -6317, -7676, -9037, -10400?\n\"Answer: -a**2 - 1350*a - 901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 313.953767 rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1163158 (base 9) to base 16\nAnswer: -9a571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1947, -1951, -1959, -1971, -1987?\nAnswer: -2007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 193*z**2\/4 + 130223*z\/4 - 130995.\nAnswer: (z - 4)*(193*z + 130995)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7248897 is divided by 767?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521*n - 519*n + 15 = -o, -10*n - 5 = -5*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -4*z - 4*f - 3, -2*z = 3*f - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 12, 14\/3 in increasing order.\nAnswer: 3\/7, 14\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + -55. Let t(k) = 4*k**2 + 5*k - 6. Let j be t(x). Solve 0*d - 5*d + j = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3. Suppose -5*r = 5*v, 2*r = -v - c + 3. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 2*y - 1. Let h be (-1 + -3)\/4 - -3. Let k be d(h). Suppose -k*z = 3*z - 50. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 - -45.\nAnswer: 45.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -161.7899.\nAnswer: 161.7899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -544.79 - -545. Let n = -5.79 - x. What is the closest to 0.1 in -1\/2, -3\/2, n, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.175 + 43.805. Let m = x + -46. Put -2\/3, 2, m in increasing order.\nAnswer: -2\/3, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1050 + 197*h**2 - 3234 + 16*h**2.\nAnswer: 213*h**2 - 2184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 541244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102526688 by -11.\nAnswer: 9320608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (55\/(-10))\/(1\/2). Does 17 divide (-1860)\/(-55) + (-2)\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07548 + -0.20046. What is r rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = a, -3*c - 15 = -5*a - 41. Suppose -r = -c*y - 12, -6*y + y - 29 = -2*r. Suppose -12 = r*p + 2*p. Put -1, p, 0 in increasing order.\nAnswer: p, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*u - 40*u - 30*u)*(u + 3*u - 2*u)*(1 + 5 - 4) - 2*u - 3*u**2 + 2*u.\nAnswer: -191*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10988*k**3*w**2 + k**3 + 84*k**2*w**2 wrt k?\nAnswer: -65928*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 23*w**2 + 34*w**2 - 14 - 23*w**2.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**7\/280 - w**4\/6 - 9*w**2 + 51*w + 2. Let t(l) be the third derivative of h(l). Let p(s) = 32*s. Calculate p(t(v)).\nAnswer: -288*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f + 2. Let c be a(8). Let q(p) = 3*p**2 + 13*p - 4. Let l be q(-6). What is the greatest common factor of c and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 3, 1, -46 in descending order.\nAnswer: 3, 1, 0, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*x - 12*p = -43*x - 12, p - 7 = 4*x - 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**6\/6 - a**5\/5 - 3*a**4\/4 + a**3\/3 + a**2 - 132. Suppose h(b) = 0. Calculate b.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - (-127 - -177)) + (0 - -2 - (-1 + 46))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**2. Let l(o) = -16*o - 8*o + 24*o + 2*o**2. Give l(u(t)).\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2870, -11, 2\/7, -2.\nAnswer: -2870, -11, -2, -1\/3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 13 = -y, 62 = -5*a - 5*y + 97. Solve 68*x - 69*x = a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = u - 5*u. Let r = u + 43. Let n = r + 0. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.43 - -6.03. Let l = 5.7 - d. Let m = -4763\/23 - -207. Which is the second smallest value? (a) -2 (b) l (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - z**2 - 2)*((2*z - 6*z + 2*z)*(5*z - z - 2*z) - z**2 - 25*z + 25*z) as v*z + k*z**2 + c + y*z**4 + i*z**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 38426*n. Let y(f) = -1264*f. What is y(w(i))?\nAnswer: -48570464*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 - 3 + q**3 + 7*q + 0*q**2 - 9*q. What is the units digit of b(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.535 - -0.07992. What is i rounded to three decimal places?\nAnswer: -0.455","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2455106 and -137\/18606?\nAnswer: 51557226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13\/11 + -43\/55. Which is the nearest to -2? (a) -3 (b) 3\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = d - 4, 1 = 4*d - 5*j - 15 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.0357765 kilograms?\nAnswer: 35.7765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 8*y**2 + 5*y + 42. Let b be g(-8). Solve -h = -b*z - 3, h - 4*z + 6 = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -5*c**7\/6 + 11*c**4\/12 - 7*c. Find the third derivative of i(y) wrt y.\nAnswer: -2100*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-29)*p*p)**(3\/2) assuming p is positive.\nAnswer: p**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -288 - -283. Let r(m) = -m**3 - 6*m**2 - 3*m + 7. Let h be r(f). Which is the closest to 0.1? (a) -0.5 (b) -0.4 (c) -3.9 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.02, 0, -1\/2, 55\/8, 2\/11, 2\/1005, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a kilogram in grams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21646272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxxp when four letters picked without replacement from {x: 7, p: 2, a: 5, y: 3}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19c + 4?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*((u*u**(-5))\/u)\/u)\/(u\/(u**(2\/7)*u)))\/(u**(2\/7)\/u)**(-40) assuming u is positive.\nAnswer: u**(-233\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, -42, -106, -186, -276, -370?\n\"Answer: s**3 - 17*s**2 + 2*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - 1)*((4 + 1 - 4)*(-3*f - 2*f + 7*f) + (2*f - 36 + 36)*(7 - 2 - 2))*(-3*f**2 + f**2 + 4*f**2).\nAnswer: -96*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3 = -r, -p + 3*p = -2*r + 24. Let d(u) = 154*u**2 - 2*u + 1. Let f be d(1). Calculate the greatest common divisor of f and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/35)\/(24\/8960*32).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.128181 decades in years?\nAnswer: 91.28181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -394*i**5\/15 + 2141*i**4\/24 + i**3\/6 + 198*i**2 - i + 2. Find the second derivative of c(y) wrt y.\nAnswer: -3152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 6:56 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3. Let u(b) = -b - 8. Let o(r) = -5*h(r) + 3*u(r). Let q(m) = 7*m + 19. Let t(v) = 5*o(v) + 2*q(v). Determine t(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3861963 is divided by 228?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18584 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -21. Suppose -6 = b*y - 10*y. Suppose j - y = 35. Calculate the remainder when j is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 2*u**7\/105 - 7*u**5\/60 - 34*u**3\/3 - 56*u**2 - 88*u. Let f(p) be the first derivative of r(p). Differentiate f(b) wrt b.\nAnswer: 16*b**3 - 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, v: 2, a: 4, f: 3, s: 1}. What is prob of picking 2 f?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 12*l**2 - l. Let y(v) = -23*v**2 + 2*v. Give 9*o(i) + 4*y(i).\nAnswer: 16*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + l + 2*l)*(-182 + 369 - 173)*(-3 - 3 + 1)*(3*l**2 - 2 + 2) to m*l**3 + h + c*l**2 + w*l and give m.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b, -4*b + 6 = -2*z - z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24648780.6 - 0.41.\nAnswer: -24648781.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*o. Suppose o*n + 0 + 10 = 0, 3*q - 4*n - 158 = 0. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 456 = -5*l. Let z = l + 116. Solve -3*v = -z*v + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 17 = 13. Let f(d) = -81*d - 794. What is the smallest common multiple of c and f(-10)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/2))**28)**(10\/17)\/((b\/((b**(1\/3)*b)\/b))**(-7)*(b*(b*b**6\/b)\/b)\/(((b*b\/(b\/(b*b**1))*b)\/b)\/b)) assuming b is positive.\nAnswer: b**(454\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1837152 is divided by 204125.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10809 - -10931. Suppose d - 18 = -4*w + 58, -4*w - 3*d + 84 = 0. What is the remainder when u is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 139779 and 20925.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -165 + 169. Let s = 6479253\/114172 - -2\/28543. Let g = s + -56. What is the second smallest value in g, 3, n, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.61 + -0.11. Let h = s + -3. Let y = 6.3 - 5.9. Put h, -5\/2, y in ascending order.\nAnswer: -5\/2, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = i + 22, 2*k - 5 = i + 5. Suppose -c + 0*c - 3*z = 2, 2*c - z + 4 = 0. Let b be 6\/(0 + c) - -8. Which is greater: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.073 + 27. Let o = 0.013 + h. What is the nearest to -0.1 in -0.5, -1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millimeter in micrometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1567\/27 - -113053\/108. Let l = n + -2944\/3. Let d = 36369\/20 + -1819. Find the common denominator of l and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpch when four letters picked without replacement from ccpchppcccp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 - 1 + 5 - 2*b + 6*b - 9. Let y = 24 + -29. Is t(y) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14498 + 13020. What is the second smallest value in n, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 3 (b) 34.9 (c) -6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13246, 109642, 371280, 880780, 1720762, 2973846, 4722652?\nAnswer: 7049800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 2128 + 2164 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/3 and 218\/(-315) - (765\/(-75) + 9).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174 + 56 - 165*w + 60 + 58.\nAnswer: -165*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -4. Let d(h) = 3*h**2 + 4*h - 1. What is the tens digit of d(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 - 23*i + 5. Suppose -2*c + 49 = -5*o, -38 = 4*o + 2*c - 4*c. Let v be t(o). Solve 2*x + 2*x = -v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + x**2 + x. Let u(z) = 10*z**3 + 4*z**2 + 3*z + 2. Give 3*t(l) - u(l).\nAnswer: -7*l**3 - l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -330, -653, -1002, -1389, -1826, -2325, -2898?\n\"Answer: -2*d**3 - d**2 - 306*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -238 and 107214 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*p + 2*p**2 - 2*p)*(2*p + p**2 - 2*p) + (-4 + 52 - 5)*((2*p - p + 0*p)*(-2*p - p**3 + 2*p) - 5*p**4 + 2*p**4 + 2*p**4))*(-2*p + 4*p - 4*p).\nAnswer: 168*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7*w**2 + 9*w + 4. Let a = -120 - -116. Let r(k) = -19*k**2 - 26*k - 13. Let p(n) = a*r(n) - 11*i(n). What is p(8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/5)*(h*h*h\/h**(1\/7)*h)\/h*h*((h**(-5)\/h*h)\/h)\/h**3 assuming h is positive.\nAnswer: h**(-194\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2 + 0 + 0*z**3 - z**3 - 52*z**2 + z + 61*z**2. Let o = 6 - -3. Let f be x(o). Calculate the greatest common divisor of f and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 4:38 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(13) + sqrt(832) + 0 + 2 + sqrt(26)\/sqrt(2) + 5 + -1 + sqrt(13))*4*-3)**2*-5 + -5.\nAnswer: -1860485 - 120960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54975.\nAnswer: 3, 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - (-36)\/(-60))\/(-1 - -3). Let n = 7.1 + -4. Let f = -4 + n. Sort f, c, 1\/11, -1\/7.\nAnswer: f, -1\/7, 1\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 91 = -c, -3*c - 444 = -5*r - 483 + 264 for r.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87936092?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 10*p - 1. Calculate f(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*x - 10 = 0, -3*z - 3*x = 0. Let o be (z - -33) + -7 + 7. Solve 3*r - 4*u + o = 4, 2*r + 1 = -3*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.25816693 to one dp.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 15*m - 11. Let p be k(-14). Differentiate 28*i - p*i - 8*i + 16 with respect to i.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.8, -5, -1\/3, 40, 0.1, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 832.6532ml in litres?\nAnswer: 0.8326532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 - -28. Let l = -16 - c. Solve 0 = i - n + 2, 2*i - 7 = 3*i - l*n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6779, 24004, 51677, 89798, 138367, 197384?\n\"Answer: 5224*i**2 + 1553*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 1:34 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c. Let j = -36 + 35. Let n be q(j). Solve 4*o - n*y = 2*y, 4*y - 20 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j + 288 = 3*t, -2*j + 202 = 2*t. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8*d**3 + 3*d**2 - 5*d - 3. Let i(a) = -56*a**3 + 20*a**2 - 36*a - 20. Let v(q) = 3*i(q) - 20*k(q). What is the second derivative of v(f) wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5746 - -13126. Let g be (55\/165)\/(2*2\/b). Calculate the greatest common divisor of 30 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: a9 (base 16) to base 13\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1437 bigger than 32467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 6*g. Suppose g = 5*j - 0 - 10. Solve 3*x - 2*a + 9 = 0, 3*x = -a - 7 - j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.102 times -0.22\nAnswer: -0.02244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**3 - 10*m**4 + 0 + 10*m**2 - 7\/2*m - 3\/2*m**5 = 0. Calculate m.\nAnswer: -7, -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4) - 87\/2. List the prime factors of 4\/10 - v\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 8*o - 93. Calculate s(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -153995227 and 0.5.\nAnswer: -76997613.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*p - 4 = 2, 0 = -3*h - 3*p + 78. Let d(i) = -i**2 - 7*i - 2. Let q be d(-6). Suppose 0 - q = -w. Solve c + h = -4*c + 4*r, r - w = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from -21311159.\nAnswer: -21311153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, q: 5, b: 1}. What is prob of picking 1 b and 1 q?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + sqrt(891)*1 + 1 + -2 + (sqrt(396) - (sqrt(396) + 2*sqrt(396) + sqrt(396) + 0 + sqrt(396)) - sqrt(396)) + -1)**2.\nAnswer: -42*sqrt(11) + 4848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, 2, -6.\nAnswer: -7, -6, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*x - 37*x + 2*x**3 - 20*x.\nAnswer: 2*x**3 - 38*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*j + 11*j + 100 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, -0.1, 20, 0.48?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(1 - (-154)\/(-214)) and 11\/(-22)*3\/(-81)*-67?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 1.3. Let w = -16998\/7 - -2428. What is the closest to v in 5, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2020, 3208, 4396, 5584, 6772, 7960?\n\"Answer: 1188*b + 832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 54 = 63. Calculate the least common multiple of f and 82.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1 + 6*b - 4 - 4*b - 13*b. Suppose -5*k + 0*k = 30. List the prime factors of m(k).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -929 + 928.501. Let r = s - 0.071. Round r to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 12263*x**3 - 13610*x**3 + 25871*x**3.\nAnswer: -2*x**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/((sqrt(7) - sqrt(14)\/(2*sqrt(2))) + sqrt(7)).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 14 = 34. Let o(q) be the second derivative of 0 + 1\/10*q**6 + 0*q**2 + 2*q + 0*q**3 + 0*q**j - 1\/4*q**4. Find the third derivative of o(i) wrt i.\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 + -7147?\nAnswer: -7130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 22\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 12359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 794*r - 537*r - 263*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3 - 1472170*y**2 + 270909827526*y + 270911299698 = 0.\nAnswer: -1, 368043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -4 (b) -3 (c) 9 (d) 14 (e) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, u: 11}. What is prob of picking 2 v?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from hdhhhulyudydydll.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 141114 + 3014?\nAnswer: 144132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s. Let t be f(-2). Suppose 0 = -5*d + 5, d = -2*n + 3*d + t. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-6\/5))**(-5\/13) assuming b is positive.\nAnswer: b**(-11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 9*o - 3. Let j = 8 - 18. Calculate the smallest common multiple of u(j) and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgju when four letters picked without replacement from ljljjljglllullgll?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1708, -3666, -5834, -8212?\nAnswer: -10800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*z - 11, -2*s + s = 3*z - 14. Suppose 0*y + z*y - 339 = -5*r, 3*y + 255 = 4*r. Let i be 144\/r + 2\/(-11). Solve i*g + 10 = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 8*n - 4. Let l be i(-8). Suppose -q - 3*q = -l. Calculate the remainder when q is divided by -1 + 1*7 + (-70)\/(-35).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - 4*d. Let y(g) = 19*g. Determine y(p(k)).\nAnswer: -38*k**2 - 76*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 163) + 18 - -283?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*r. Let o be (r - 4)\/(2*-1). Find the third derivative of 2*h**2 - 5*h**2 - h**5 - h**5 - h**o wrt h.\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3)*36\/(-3). Suppose 11 = 5*f - 2*i, v*f + 2*i - 4*i = 10. Solve -f = 5*j + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2600308442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -986 - -1034. Calculate the smallest common multiple of h and 156.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + 1*(2*(sqrt(2057)*-2 + 5 + ((sqrt(2057) - (sqrt(2057) - ((sqrt(2057) - (1 + sqrt(2057))*-4) + sqrt(2057)))) + sqrt(2057) - sqrt(2057))))**2).\nAnswer: 3168*sqrt(17) + 131973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*r = -18, 3*r - 45 = -5*w + 2*r. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3907, -11761, -24847, -43165, -66715, -95497?\n\"Answer: -2616*n**2 - 6*n - 1285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 3, -9390, -20.\nAnswer: -9390, -20, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*d + 17, -30*u + 27*u = 3*d - 27. Let s(v) = 19*v**2 - 6*v + 5. Let f(y) = 20*y**2 - 7*y + 6. Determine u*s(a) - 4*f(a).\nAnswer: 15*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 79819 - 5540 + 33673. Is h a multiple of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 11*h**2 - 650*h + 7143. What is y(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -37. Let y be 864\/(-45)*(-10)\/l. Let u = -60 - y. Solve -2*p - 4 = b - 1, 9 = -5*b - u*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1923.247 + -2567.79. Let v = n - -645. What is v rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 15*v + 104. Let k be u(-6). What is the highest common divisor of 154 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -x + 3. Suppose -6*i + x*i = -93. What is the remainder when i is divided by (-5 - (-21)\/2)\/((-2)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 124 (c) -4 (d) -298\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8315247m in kilometers?\nAnswer: 0.0008315247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2 - 4 = 0. What is the nearest to 1\/2 in t, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 1 - 4. Let c be (-2 - (-3 + 3)) + s. Let u(t) = -t**2 - 6*t - 4. Calculate u(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/11)\/((-8)\/88). Suppose 10 + 64 = 5*i - 4*w, i - u = -3*w. Solve -8 - i = -3*n - 5*r, 4*n + 8 = 4*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*3)\/(3*(sqrt(242)*1 + sqrt(242))).\nAnswer: 2*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzu. Give prob of sequence uzy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0796 to 3 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, g: 2, m: 3, o: 1, v: 1}. What is prob of picking 1 v, 1 m, 1 p, and 1 g?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134 - 134?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 0. Let l(y) = -15*y - 113. Let v be l(-9). Let z = v - d. Solve -3*s + z = i, 5*i - i + s = 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138916, 138914, 138912?\nAnswer: 138910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*k**2*p*t**2 - b*k*p + 9*b*p**2*t**2 - 6*k**2*p**2 + k**2*p - 3*k*p**2*t**2 + 2*k*p*t - 2*p*t**2 wrt p.\nAnswer: 18*b*t**2 - 12*k**2 - 6*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11375037*b**3 + 11934*b**2 - 48*b - 3 wrt b?\nAnswer: -68250222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 14*u + 4. Give p(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -86443 rounded to the nearest 100?\nAnswer: -86400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -5385567\nAnswer: -2154226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627662 is divided by 4755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8303725, 8303729, 8303731, 8303731, 8303729, 8303725, 8303719?\nAnswer: 8303711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514601 is divided by 6682.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j - 2*j)*(0 - 3 + 5) + (-2*j + 4*j - 4*j)*(29 + 12 - 26).\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1569*i + 23393. Determine b(-15).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1081 * -0.5\nAnswer: -0.05405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2107\/98 + (-1)\/2 + -3. Solve 4*b + 2*b + r = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 496 in 2, -1\/2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 7*s**3\/6 - 5*s**2\/2 + s. Let u(g) = -3*g + 1. Let b(p) = -23*p + 4. Let a(o) = 2*b(o) - 22*u(o). Give 6*a(d) - 17*j(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47492 is divided by 3599.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 12. Suppose 0 = 3*f + 3*p - 36, 0*p = -2*p - v. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-132)\/(-231) + (-33)\/21. Do v and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4804, 4714, 4556, 4324, 4012?\nAnswer: 3614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n + 29*n - 12 = c, 0 = c + 4*n - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 4*j + 1. Let z be w(-3). Let c be (z - 654\/(-33)) + -2. Let r = c + 367\/22. Calculate the common denominator of 65\/8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -5 (c) 27 (d) 2\/17 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 87*(1 + 16\/(-24)). Suppose d*s - 34784 = -9554. Does 30 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 34, 5 in ascending order.\nAnswer: -2, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3*m)\/(m**(-8\/3)\/m))\/((((m\/(m\/(m\/m**(-20)*m*m))*m)\/m)\/m)\/(m\/(m**(1\/15)\/m))) assuming m is positive.\nAnswer: m**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000786338 to six dps.\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v + 59. What is n(39)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o + 2. Let m(a) = 14*a - 4. Let l = -8035 + 8032. Give l*m(d) - 5*s(d).\nAnswer: -7*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**5\/60 - x**4\/3 + x**2. Let y be c(-7). Is (3785\/y)\/1 + (-18)\/(-63) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10 = 22. Let x = -19\/108 - 2\/27. Which is the nearest to -3? (a) 0.2 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-3)\/6)\/(60\/(-256)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.12 + -51.12. Let i = h + 47. Let y = 275\/7 - 39. What is the third smallest value in 0.1, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -4, 4, -4\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 10. Let c be d(-6). Let i = 0 - c. Suppose i*p - 5 = 3. Solve 0*v = -p*v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05951607 rounded to 4 dps?\nAnswer: -0.0595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 25*u**2 - 314*u - 19. What is the units digit of r(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1018*q - 16 = 1010*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 642*s**2\/7 + 18311122*s\/7 - 57044\/7.\nAnswer: 2*(s + 28522)*(321*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 58074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iic when three letters picked without replacement from vvicin.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzaz when four letters picked without replacement from azaazaaazz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -887725 + 14517725. Round i to the nearest one hundred thousand.\nAnswer: 13600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255 divided by -22860.\nAnswer: -17\/1524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d. Let y(m) be the second derivative of 7*m**3\/6 - 63*m. Determine z(y(w)).\nAnswer: -49*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 2 + 186\/(-3). Let p = f + 63. What is the remainder when 9 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 58*r - 32*r - 33*r + 41. Calculate u(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -158 + 157.8. Put -4, q, -0.6 in decreasing order.\nAnswer: q, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1512.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 1 + 2 - 1)*(11*i - 6*i - 3*i - 14) + (-2*i + 0 + 0)*(-462 + 462 - 111*i).\nAnswer: 226*i**2 - 24*i - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 269855?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.972734 meters to nanometers.\nAnswer: 2972734000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -141 + 136. Let v be 2\/(-4) - 14\/(-20). Let s = -10 - -6. Which is the closest to v? (a) s (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*i - 5412, i - 302 = -g + 5100. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 78008?\nAnswer: -78007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92928*d**2 + 7171296*d - 138353043.\nAnswer: -3*(176*d - 6791)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**(-13\/2)*((a**(1\/16)*a)\/a)\/(a\/(a**(-5)\/a)) assuming a is positive.\nAnswer: a**(-319\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 718549, 718548, 718547, 718546, 718545?\nAnswer: 718544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 10 = 4*q, 5*q - 5*u = 11 - 1. Suppose q*s + 331 = s. Suppose -s = 7*n - 1255. List the prime factors of n.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -4*a - 4 + 0*a**2 + 7\/3*a**3. Is c(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i + 4*i + i**4 + (0*i**3 - 4*i**3 - 3*i**3)*(-9*i + 0*i - 6*i) - 6 + 2*i**4 + 6 + 0*i**4 - 8*i**4 + i**4.\nAnswer: 101*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -536205413*p**3 + 36816152*p.\nAnswer: -3217232478*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/4 or 4770\/23?\nAnswer: 4770\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.934698 rounded to one dp?\nAnswer: -121.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 199898297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/54)\/(1\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 321\nAnswer: -5\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 15*m**2 + 49*m + 14. Let o be n(-10). Suppose 0 = o*w - 2941 - 4619. Is 22 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 + (-14 - (41 - 31)) + 33\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684670?\nAnswer: 2, 5, 7, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8244567797 to the power of 1\/3, to the nearest integer?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54901)\/(-1617) + -34 - (-502)\/(-42).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2056004740240 - 0.2.\nAnswer: 2056004740239.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/(-3)*3\/6. Suppose -w*s + 2 = -4*s. Let y = -339 - -341. Solve d + 9 = s*q, 8*d - y*q = 3*d - 29 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 2\/13 (c) -199746 (d) -124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/1 + -8 + 10. Solve -8*x = -1 + m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*b - 3*m = 0, 4*b - 4*m = 8. Suppose 5*a + b = 1. What are the prime factors of ((-36)\/(-10))\/(a\/(-5))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -10100111100?\nAnswer: -10100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 + 917*n - 5456. Give k(6).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -98395, -196790, -295185, -393580, -491975, -590370?\n\"Answer: -98395*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.85 and -0.5.\nAnswer: 0.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 4:17 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1696 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7175863, -14351680, -21527497, -28703314?\n\"Answer: -7175817*p - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/4 - 360936*w - 130274796096 = 0. What is w?\nAnswer: -721872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 69*n**3 - 3*n**2 + 6*n - 7. Let f be c(2). Let a = f - 285. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459 - 4*w**3 - 457 + 1373 - 457.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*r + 69028 = 67478 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**5\/7 - 433*u**4\/7 - 43038*u**3\/7 + 832194*u**2\/7 - 3225825*u\/7 - 4100625\/7 = 0. What is u?\nAnswer: -225, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312, -626, -940, -1254, -1568?\nAnswer: -1882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54385 + -54387. Let h(y) = 10*y + 1. Let q(r) = 11*r. Let i(o) = -4*h(o) + 3*q(o). Let c(z) = 2*z + z + 0*z + 2. Give a*i(l) - 5*c(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 215*f - 187*f - 140 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.14*-0.4.\nAnswer: 10.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, 0.111, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7*f**2 - 5*f - 88. Let c(j) = -4*j**2 - 2*j - 44. Let g(u) = -5*c(u) + 3*l(u). Find the first derivative of g(x) wrt x.\nAnswer: -2*x - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 189*r - 236*r - 874*r - 825*r + 28*r to s + l*r and give l.\nAnswer: -1718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/d**(-1)*(d*d**(-5))\/(d*d**(-8)))**(2\/17) assuming d is positive.\nAnswer: d**(10\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-10) + (-123)\/90 + (-20)\/(-25)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.093780658951 + 0.3\nAnswer: 0.206219341049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 - 1 + 2 + 0 + (-1 + 1 + 5*h**2)*(6*h**2 - h**2 - 3*h**2) as q*h**2 + r*h + s + y*h**4 + v*h**3 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**3\/3 - 27*g**2\/2 + 13*g. Is s(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1165634 (base 10) in base 13?\nAnswer: 31a732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s**2 + s**3 + 11*s**2 + s + 4*s - 8. Let x be (-7 - (-42)\/6) + 16 + -2. Suppose 3*d + 102 = -x*d. Determine z(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11033587?\nAnswer: 1201, 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -23, -43, -65, -89, -115?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.17, -1, 0.1 in ascending order.\nAnswer: -1, -0.2, -0.17, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-6)*19184\/29975.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 h when three letters picked without replacement from xzzzxxaxxaxyhxxxx.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9a3 - -88d?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/45)\/((-7)\/(-420))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -514191 divided by 5091?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 47*y + 387. Let x be q(0). Let z = -382 + x. Solve -24 = 13*k - z*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 7)*(-1 + 2 - 3)*(2 - 2 + r) to the form g*r + p and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(8) + sqrt(8) + sqrt(8) + sqrt(8)*3) - sqrt(968)*-3)\/((sqrt(100) + 6*-2*sqrt(100))*1).\nAnswer: -57*sqrt(2)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 6:16 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 388065637?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1843271328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9*p**2 + 1707*p + 566. What is a(190)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = h - 3*h - 48 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 193*x**2 + 16793*x + 559. Determine g(-87).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -997 - -1002.41. Let h = z + -0.41. Sort -12, h, 19 in decreasing order.\nAnswer: 19, h, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c = 5*y - 14, -3*y - 4*c + 24 = 0. Let q be ((-120)\/9)\/((y + -2)\/(-36)). What is the greatest common factor of q and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (6*(sqrt(143) - (sqrt(143)*2 - sqrt(143))) + sqrt(143) - sqrt(143))\/(sqrt(11) - (-2*sqrt(22))\/sqrt(2)) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 327913653*x. Let d(i) = -i. Determine d(j(m)).\nAnswer: -327913653*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 4*w + 18. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 4:43 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 12 = -d + 4*k, -4*k - 20 = 0. Suppose 36 = -5*a - 4*p, -1 = 4*a - p + 11. Let o be (2\/a)\/(d\/(-4)). What is the greatest common factor of o and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-525)*(-1 - 23 - 48\/32).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**3 + 7*j**3 - 50*j**4 - 12 + 48*j**4 - 13*j**3 to s*j**2 + o + p*j**3 + z*j + w*j**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5526360 and 43645?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 43, 59, 81?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 165072940, 165072936, 165072932, 165072928, 165072924, 165072920?\n\"Answer: -4*q + 165072944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15404717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 28732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*c - 3*c**2 - 34*c - 12 + 15*c as w*c**2 + f*c + y and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -59 - 82. Let u = 83 + m. What is the greatest common factor of 90 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 m when four letters picked without replacement from lmaamammma?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13125743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -542*t**4 - 4537*t**3\/6 - 7443*t**2. What is the first derivative of y(c) wrt c?\nAnswer: -13008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9571 + -9526.61. Round r to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 81592, 82100, 82608, 83116?\n\"Answer: 508*i + 81084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 10 = -4*f. Sort -3, f, 5.\nAnswer: f, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z. Let d be 12 + -3 - 1 - 0. Suppose -d = 4*q, x - q = -0*x + 4. Let f(t) = -4*t**2 + x*t - 2*t + 0*t. Calculate v(f(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y\/y**10)*y*y))\/y)\/y*y*y**(3\/2)\/y*y)\/(y\/(y\/(y\/(((y\/((y\/(y\/(y\/(y*y**11*y*y)))*y)\/y*y))\/y)\/y)))*y**15\/y) assuming y is positive.\nAnswer: y**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*q - 5*i = 28, q - 5*i = 22. Let b be 6 - ((1 - -1) + q). Let z = b + 10. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-9))**7)**(2\/101))**11)**0 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006573 to 4 dps.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.19301 kilometers to meters.\nAnswer: 88193.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488229 = 17*n + 488042. Suppose 43 = 5*m - 17. What is the remainder when m is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 23 - 17*m - 3*m - 15 + 0*m**2 + 13.\nAnswer: 5*(m - 5)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1019.007108 + -0.4\nAnswer: 1018.607108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*b = 179*b - 26. Solve -4*f - 5*p = -6*p + 14, b*f + 4*p - 2 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8336 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0)\/(0 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-9)\/(l**(-5)*l*l) assuming l is positive.\nAnswer: l**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97391956.\nAnswer: 2, 31, 241, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = 3*y + 2*a, -2*y - 5*a = -1. Let v = 4 + y. What is the derivative of -2 + v - 1 + w**3 - 2 wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*h - 33, -u = 3*h + 14 - 48. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 19 = 2*o. Suppose 60 = z + v, 2*z + 185 = 5*z + 4*v. What is the remainder when z is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -503637768976 and 46.\nAnswer: -503637768930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*y - 320*y + 163 + 1157 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9500957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 4)*(-62*k**4 - 19*k**4 - 28*k**4) as v*k + o*k**2 + t + g*k**4 + p*k**3 and give g.\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*s + 155 = -114, 0 = 4*n + 3*s - 218. Calculate the remainder when n is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4279.4 + 4279. Let i(o) = o**2 - 5*o + 4. Let m be i(4). What is the third smallest value in m, x, -0.1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -43\/576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8174321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from fwwwwfwwwfffwwwfwfw.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 258 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -583*a**7\/210 - 821*a**4\/24 - 7*a**2 - 32*a. Find the second derivative of n(s) wrt s.\nAnswer: -6996*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**3 + 1962*j**2 + 267582*j + 3991702 = 0?\nAnswer: -821, -143, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157 + 159. Suppose -l*v - 3*t = -v - 214, 0 = 4*v + 3*t - 865. Is 216 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19 + 18)*(-7)\/1. Sort 2, p, 4, 3 in descending order.\nAnswer: p, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p. Let u be (-4)\/(-20) - 3\/(-10). Let d(f) be the first derivative of -2 + 0*f - u*f**2. Determine d(t(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 1 + 393 + -340 + -13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-504)\/70*50\/20 + 3\/1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 2:15 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**2 + p + 2. Suppose 0*t + 10 = -5*t. Suppose -5*h - 1 = -z + 17, 0 = -3*h - 3. Calculate the remainder when m(t) is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*l = 48, 3*y - 1 - 18 = 4*l + 47 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -66\/95189?\nAnswer: -66\/95189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -155 - -165. Suppose -1 = -j*a + 19. Solve 0*m = -a*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -12. Suppose -i + 4 = -o + 5, 0 = 3*o + 3*i + 9. Put -2, w, o in descending order.\nAnswer: w, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2847.1321 - 0.5?\nAnswer: -2847.6321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99952 and 22688?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0586 - -1.69. Let t = -1.65 + y. Round t to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2253807 is divided by 284?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 2399 + 26323. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 3*b + 5*j - 86, -3*j = 3*b - 6. Put b, 5, 2, -52 in ascending order.\nAnswer: -52, b, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94*i**6 + 2*i**4 + 912*i**3 + 16570*i**2 + i.\nAnswer: -11280*i**3 + 48*i + 5472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 - k**2 - 4*k - 3. Let f be b(-1). Let d be ((-1)\/f)\/((-15)\/(-60)). Suppose -p - 4*p = d*z - 500, 0 = 2*p - 5*z - 229. Is 34 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1711*t - 503*t - 540*t)*(-5*t**2 + t**2 + 2*t**2).\nAnswer: 5508*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 411.5 times -3?\nAnswer: -1234.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 3:30 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 7*v**3\/6 - 30*v + 265. Let b(h) be the second derivative of -4*h**4\/3 - h. Calculate g(b(w)).\nAnswer: -112*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**6\/120 - 7*n**5\/60 + n**4\/4 - 3*n**3\/2 + 2*n**2 - 13. Give a(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/5))\/(n\/n**(-8\/3)))**(-1\/54)*(n\/(n*(((n*n\/n**(6\/5))\/n*n)\/n)\/n)*n**(-12))**(-22) assuming n is positive.\nAnswer: n**(96251\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14359532 to the power of 1\/2, to the nearest integer?\nAnswer: 3789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34918 + 25*g**2 - 34918 - 1083*g - 2265*g.\nAnswer: 25*g**2 - 3348*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70700635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -464652 (base 10) to base 6.\nAnswer: -13543100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, 0.2, -2\/249, 97, 2\/21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 12:36 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*j = -j - 106, 4*j = 4*o - 188. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a + 8. Let c be w(3). Let o be -26 + -2 + 3 + c. What is the units digit of (-1)\/3*(o + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 1477*t**5\/60 + 931*t**3\/2 - 818*t**2 - 1. What is the derivative of w(c) wrt c?\nAnswer: 2954*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*o - 27*o + 34*o)*(-2*o**2 + 2*o**2 + o**2).\nAnswer: 23*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + -108. Let m = q + 112.0051. What is m rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84148.\nAnswer: 2, 109, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 12 + 4. Suppose -3*v + a = 1. Find the third derivative of 2*j**v + 5 - 11 + j**2 + 6 wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -167 + 166.9999995. Round f to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 1563288?\nAnswer: 1563287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12468 is divided by 12457?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 0, 9, 0.05, 36, -0.3, 0.4 in increasing order.\nAnswer: -0.3, 0, 0.05, 0.4, 9, 36, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0734 - -0.0434. Let v = 3 - -1.08. Let y = -0.08 + v. Which is the closest to s? (a) y (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2068652277 and 6549?\nAnswer: 6549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (3 - (1 + 1) - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + (19 - 9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3754 - 1082 = -6*y. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/2859 and -47\/7624.\nAnswer: 22872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - (2 + 2 + -8). Solve -j = 3*z - 4*z - 5, -5*j + l = -2*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - j = 10, y - 5*j - 6 = 2. Solve -16 = 5*w + c - 5, -y*c = 5*w + 13 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 391*b - 390*b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 5 - 34)*(-t + t - 2*t).\nAnswer: 80*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z + 30 = 0. Suppose 6*d - 39 = 261. Let f = 54 - d. What is the remainder when z is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/48 and -41\/31950.\nAnswer: 255600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 7*c = 108. Let n be (-16)\/(-20)*(-15)\/c. Factor -n*p - 2\/9*p**2 - 2\/9.\nAnswer: -2*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/11? (a) 1\/3 (b) 1\/12 (c) 2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12, -14, -16, -18, -20, -22?\n\"Answer: -2*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(1050))\/sqrt(6))**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -4*d**2 + 1\/3*d**3 - 1\/120*d**6 + 0*d + 0 - 1\/12*d**4 + 1\/15*d**5. What is the units digit of q(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 44 (b) 2 (c) -3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 86795, 86753, 86649, 86453, 86135, 85665, 85013, 84149?\n\"Answer: -5*y**3 - y**2 - 4*y + 86805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1864 = -7*o + 7397. Let k = o + -928. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - -57. Suppose 4*p - 5*y = -3*y + i, p - 16 = 4*y. Which is smaller: p or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -148, 51888, -5, 3, -12 in descending order.\nAnswer: 51888, 3, -5, -12, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (-41 - -37) + -52.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-1)\/2*(1 - 0)*-38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101120010100 (base 3) to base 4.\nAnswer: -302233233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6046706 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, b: 3}. What is prob of sequence wb?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6413 + 6476.06. Let z = 62 - t. Let p = 0.73 + z. Round p to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*v - 4*n, -4*v + 0*n + 60 = 4*n. Suppose v*u - 259 + 99 = 0. What is the remainder when u is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + (1 - (-2)\/1). Suppose -5*n = x - 100, 3*x + 5 = -v. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - d. Let a(g) = 2*g**2 - 3*g - 2. What is -a(o) + 3*x(o)?\nAnswer: o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3996.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (975\/1170)\/(20\/48). Solve -2*j + 10 = o*v + 3*j, -5*v = 2*j - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*t - 33*t + 189297. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 125*v + 25113. Determine q(-189).\nAnswer: 1488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9115287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 6167*n - 6 = -6164*n, 0 = -2*h + 4*n - 44. Let j(t) be the first derivative of -t**3\/3 - 5*t**2\/2 - 2*t - 2. Give j(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6622 - 6618. What is the third biggest value in c, -2\/5, 1, -2, 12\/25?\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196660740.\nAnswer: 2, 3, 5, 53, 61843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgooogogthooogy. Give prob of sequence oyho.\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)*1*-4)\/(sqrt(7)*-1*3))**2 + 5 + (sqrt(300) + 1 + -5)**2.\nAnswer: -80*sqrt(3) + 979\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i - 4. Let d be (-2 + 45\/(-6))\/((-1)\/2). Let p be (d + 1)\/((-1)\/(-10)*5). Calculate the greatest common divisor of p and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 2, s: 2, m: 1, t: 1}. What is prob of sequence sm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 19*j**2 + 87*j - 24. Let h be i(-9). Solve 2*a + 1 = 3*x - h, -3*x - 4*a = 26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*r - 7 = -4*z + 8, 0 = -5*r. Solve z*h + 9 = -0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 655\/4 - 163. Which is the smallest value? (a) -9 (b) -1\/2 (c) s (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1095 + 1120. Calculate the remainder when t is divided by 2204.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**5\/30 - o**2. Let b(x) = -x**2 - 3*x - 2. Let r(f) = -2*f**2 + 6*f + 4. Let y(q) = 2*b(q) + r(q). Calculate y(a(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/304 or 28\/611?\nAnswer: 28\/611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2966 is divided by 937.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 28020.165 minutes?\nAnswer: 467.00275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 21, i - 882*v = -880*v + 18263. What are the prime factors of i?\nAnswer: 3, 7, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 263*f**2 - 2105*f + 4. Let y be j(8). Let w(q) = -q**3 - 3*q**2 + 4*q + 10. What is w(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-8))\/((-2)\/(-12)). Solve -p*j = -j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73064322 a multiple of 1518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5213, -10259, -15305, -20351, -25397?\n\"Answer: -5046*x - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqpu when four letters picked without replacement from uwuuqppuqwupupuuquu.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -102 + 65. Let h = -12 - m. What is the remainder when h is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -31310?\nAnswer: -11\/15655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -23, -37, -39, -23, 17, 87, 193?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 12*d + 198. Let j be r(-15). Solve 4*y - 5 = -k - j, -4*k - 22 = y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60827\/4 or 15208?\nAnswer: 60827\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 501402 (base 7) in base 11?\nAnswer: 585a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7.951063 weeks?\nAnswer: 4808802902400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1278917.457 rounded to the nearest one thousand?\nAnswer: -1279000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1896 and 2356?\nAnswer: 1116744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 1940444.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.08229576*-1\nAnswer: -0.08229576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + (-72)\/27)\/(10\/(-6)). Which is the nearest to -0.2? (a) 2 (b) q (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 953493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122283 is divided by 476?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 38. Let x = 7.7 + -20.7. Let o = w + x. Sort 2, o, -4.\nAnswer: -4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2 - 74*y + 1300 = 0.\nAnswer: -50, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 4*d + 21 = 0, -29*w + 28*w - 4*d - 9 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/64689218 and 55\/41165866.\nAnswer: 452824526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -15994\nAnswer: 7\/15994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, -2\/13, -6, -5, -107\/3 in descending order.\nAnswer: -0.11, -2\/13, -5, -6, -107\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2043238759 - 1068968759. What is t rounded to the nearest 1000000?\nAnswer: 974000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 28. Determine a(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 1)\/((-3)\/(-126)). Let d be (-1 + 2 - 1) + m. Suppose 21 = -2*v - 4*g + 77, 3*v = 4*g + d. What is the highest common factor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(117))*2 - sqrt(117)) + sqrt(117).\nAnswer: 6 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*x = -97*x + 9*z - 5, 3*x - 2 + 3 + 2 = -3*z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**2 - 70*b + 68 = 0.\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2. Let z(k) be the second derivative of -3*k**3\/2 + 13*k. Give m(z(j)).\nAnswer: -162*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 43*l**2 - 16*l + 19 - 25*l**2 - 22*l**2 + l**3. Let a be d(5). Are a and -2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*m = 135*m - 10. Calculate the remainder when (-8)\/(2 - 6)*11\/m is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 4:39 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20 - -2)*2\/(-3). Let x be ((-1)\/(-3))\/(3 - 860\/288). Find the common denominator of (-202)\/h + 8\/x and 19\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, s: 4, y: 2, j: 1}. What is prob of sequence soj?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57409311 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d*y**4 - 2*d*y**2 + d*y - 3*d - 76*y**3 wrt y.\nAnswer: -24*d*y - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2))**37*m**(-12)\/(m**(-1)\/m) assuming m is positive.\nAnswer: m**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2688)\/(-40))\/7)\/(((-272)\/(-40))\/17).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - -ecda6?\nAnswer: ecdb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/5)\/(q*q**1))\/(((q**(2\/11)*q)\/q)\/q**(-5)) assuming q is positive.\nAnswer: q**(-351\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 0*b**2 + 2*b**3 + b**3 - 4*b**3 - 5 + 5*b**2. Give m(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2)\/s)\/s)**(-6))**29 assuming s is positive.\nAnswer: s**696","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 80222 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/15)\/((-24)\/7360). Suppose -u - 10 = -14*c. Solve 0 = -o - f + 7, -c = -2*o - 3*f - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 296934.07 + 0.8.\nAnswer: 296934.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-1\/7))\/t**(2\/3))\/(t**(-2))**(-42))\/(t**(1\/13)\/t*t**(5\/3))**(-21\/2) assuming t is positive.\nAnswer: t**(-41497\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -178 - 23. Let m = 201.1 + z. Put -0.07, m, 1\/4, 4 in decreasing order.\nAnswer: 4, 1\/4, m, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -276164 (base 10) to base 4.\nAnswer: -1003123010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2288\/5 - -417. Which is greater: d or -42?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -23*h + 128. Determine s(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12\/179 - -585\/716. Let w = 43 - 47. Which is the second smallest value? (a) -1\/4 (b) w (c) 0.1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*q + 25 = w, 4*w = -q + 65. Let a(i) = -7*i**3 - 2*i**2 + 1. What is the remainder when a(-2) is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*d - 379*d + 7*w - 106 = 0, 0 = -5*d + 4*w - 49 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 4. Let p be y(-4). Suppose 0 = 3*k + g - 323, -p*k + 2*g + 436 = -2*g. Calculate the greatest common factor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -137 + 4*n - 6*n + 137. Let c(l) = -102*l + 3. Calculate c(z(y)).\nAnswer: 204*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - -1*-1*sqrt(72))\/(sqrt(36)\/(sqrt(6)*-2))*-1*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 382264 and 10792?\nAnswer: 7263016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 4:53 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51431205.\nAnswer: 3, 5, 7, 17, 28813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100761 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24029490883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 4:28 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 1, 0*c = 5*t - 2*c - 992. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -8 (b) 9 (c) -0.1 (d) 2 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -2*k - 2 - 8, v - k = -10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 70.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-11)\/(-220) + (-2)\/(-20)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.62 + 19888?\nAnswer: 19878.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 82*o - o**2 + 6 + 7*o**2 - 90*o - o**3. Let f = -349 + 354. What is g(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/3572 and 107\/5344605.\nAnswer: 21378420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 91471 and 0.5.\nAnswer: 91471.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52.999999789 - 53. What is j rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1)\/b**(-6\/7)*b\/(b*b*b**3\/b)*b*b**7*b*b*b assuming b is positive.\nAnswer: b**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3639 a factor of 1558100404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2112*a + 2112*a - 1816*a**2 in the form j + n*a**2 + w*a and give n.\nAnswer: -1816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from igggigggggggg.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 1. Let q be z(3). Let x = 3 + q. Let w = -84 + 333\/4. Which is the second smallest value? (a) 0.5 (b) x (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54261257.\nAnswer: 2693, 20149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/124894 and 89\/71368.\nAnswer: 499576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.4, 0, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 + -19 - -14) + 113 - 5?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36166827079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/(-33) + 0 - (-147 - -151)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31819.827 - -31820.11092321. Let o = r - 0.2839. Round o to six decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 12:44 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 367c0b4 (base 13) in base 4?\nAnswer: 1000212123133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-516*v**2 + 642*v**2 + 373*v**2)*((4*v**2 - 4*v**2 - 2*v**2)*(1 - 1 + 1) + 3*v**2 - 4*v**2 + 2*v**2 - 2*v**2 - 2 + 2).\nAnswer: -1497*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 439 + 83 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/9)\/(-1*(-1)\/(-1245)). Let l = j - 1615\/4. Let x = 187\/31 + -2843\/682. Find the common denominator of l and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (138 - -10) + -29 + -15.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0140219 or 2\/5?\nAnswer: 0.0140219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21088 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**4\/6 - 7*y**3\/6 + 3*y**2 + 182*y + 11. Suppose 3*s = -5*a + 5*s + 10, 0 = -a - 4*s + 24. What is b(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -20*p**2 + p - 16. Let g(i) = 10*i**2 + 7. Let c(s) = 2*b(s) + 5*g(s). Does 13 divide c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 u, and 1 b when four letters picked without replacement from {c: 2, b: 2, a: 1, u: 6}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(4\/11))\/c*c**(-11\/3)\/c)**13 assuming c is positive.\nAnswer: c**(-2158\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v**3 + 10*v**2 - 6*v - 23. Let s be (-7)\/(-1)*(-3 - -2). Is u(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 66 + 72. Let j be (-6 + k - -11) + -3*1. Suppose 3*h = -5*p + 6, -p - h + j*h + 15 = 0. Solve p*n + 8 = 2*z, -2*n + 3*z + z = 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**4\/24 - b**3\/3 + 3270*b**2. Give r(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i - 5. Let g(r) = 4*r. Give y(g(p)).\nAnswer: -24*p - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + o. Let s(u) = 6*u**2 + 11*u. Let i(n) = 22*d(n) - 2*s(n). Let r(c) = 2*c**2. Calculate i(r(m)).\nAnswer: 40*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1214 - 6*h + 2455 - 40*h**2 - 1236.\nAnswer: -40*h**2 - 6*h + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 71, -3, 8, 4, 37 in descending order.\nAnswer: 71, 37, 8, 4, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 945817 is divided by 176?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 8502241 = -34*r - 20*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 16. Let d(j) = 2*j + 9. Let p be d(f). Suppose 6*i**2 + 2*i**3 - 3*i**p - 5*i**2 - 3*i**2 - i = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6a + 15363?\nAnswer: 152e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69615982.\nAnswer: 2, 431, 80761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*q**4 - 342287*q**3 - 4471802*q**2 - 247377*q = 0. What is q?\nAnswer: -13, -1\/18, 0, 19029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 10391\/5, 0.3 in descending order.\nAnswer: 10391\/5, 0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/7)\/(x**2\/x)*(x**(-2)\/x*x)**(-28)*(x**(-7)\/((x*x*x**(-1\/3))\/x))\/(x**(-2))**(-11) assuming x is positive.\nAnswer: x**(535\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = 46*b + 44*b + 252 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**13\/d)\/(d*d**(-6)))\/(d**6\/d**(-4)) assuming d is positive.\nAnswer: d**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-6*sqrt(1088)*-1 - -2*-1*sqrt(1088)) + sqrt(1088) + 1 + 3 + 2 + -1).\nAnswer: -240*sqrt(17) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = v - 4*q, -7*q = -3*q + 16. Suppose -30 = -v*f - f. Solve -3*y + 0 = -f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 5:54 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5}. What is prob of sequence ww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33988\/23205 + 5\/663. Calculate the common denominator of h and -59\/3.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 23. Let v = 3237\/4 + -8473\/12. Let f = 103 - v. What is the biggest value in f, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124978 by -14.\nAnswer: -8927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61919*m + 148 = 61956*m. Suppose -2*t - s = -0*s - 9, 0 = 4*t + s - 15. Solve -5*q - l + 2 = 0, -m*q - 2*l + 1 + t = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 1 = i, -4*i - 117629 = 5*n - 117628 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -4. Is 4 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3888768 and 6708?\nAnswer: 167217024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 60, 197, 460, 891, 1532, 2425?\nAnswer: 3612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**6\/24 - 11*b**5\/24 + 5*b**4\/4 - 59*b**3\/3 + b + 100. Let x(f) be the third derivative of c(f). Factor x(n).\nAnswer: 5*(n - 3)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 5*b**2 - 5*b - 3. Let s be n(-4). Suppose -3*p - 61 = -5*v - 39, v = 5*p. Solve -4*j = v - s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/(-2415)*((-9)\/(-15) - 2876\/(-480)) and -101\/8?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5\/m)\/m)**(-33\/5) assuming m is positive.\nAnswer: m**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 12) to base 5.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*s - 2*s - 2 = 0, 3*w + 10 = s. Let j(k) be the first derivative of k**3\/3 + k**2 - k + 7. Give j(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12322 - 110211333?\nAnswer: -110230321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 8 = 4*s, 3*s = 5*l + 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 924296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 582 and 18391782?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -5*i + 27, -2*i + 3*o = -11 + 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6999, -6998, -6997, -6996, -6995?\n\"Answer: k - 7000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10949157.172954 + -3?\nAnswer: -10949160.172954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 38*g + 40. What is w(-39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2104*m + 1252*m - 593*m + 4069*m + 3050*m - 817*m)*(-4 + 3 + 2) to the form n*m + k and give n.\nAnswer: 9065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -29667*m**4\/4 - m**3\/3 - m**2\/2 + 3*m. Let l be h(-1). Round l to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3 + 4)*(a + 0*a + 0*a)*(51 + 21 + 68) to n + o*a and give o.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135 (base 12) to base 2.\nAnswer: -10111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3010000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -1294 + 314. Let q = 4901\/25 - f. Is 1 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 7 - 4. Suppose -o*i - 166 = -22. Let u = 94 + i. Does 23 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*o - o - 9, 5*o - 15 = -5*w. Suppose o*q - 6 = 0, -4 = 2*b + 3*q + 18. Calculate the common denominator of 29\/27 and 2\/(-18)*(-1491)\/b.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66822.9 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - -19. Let p = u + -8. Is 6 + -1 + -3 + p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 5:22 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvl when three letters picked without replacement from {v: 2, l: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.2? (a) 0.8 (b) 0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94756 is divided by 1164.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4350704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 2*i + 8*i - 5*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 228721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 6 + 12 = 0. Let k(f) = -6*f**2 - 2*f**2 + 2*f**2 + 7*f**i. Let q(r) be the third derivative of r**5\/20 - 3*r**4\/8 - 10*r**2. What is q(k(z))?\nAnswer: 3*z**4 - 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6 - 18\/27. Suppose -3*h - 2*p + 1360 = l, 5*h + 3*p + p = 2268. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67342100 to the nearest 100000.\nAnswer: -67300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 2*b - 4*b)*(1 + 2 + 2).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*p + 1160, 0*y + 3*y + 12 = 0. Let d = p - 197. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2643534560?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v - 14*v + 7*v + 12*v + 5*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/7 (b) -1429 (c) -19329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 r when four letters picked without replacement from {r: 11, y: 5}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -904, -921, -940, -961, -984?\n\"Answer: -q**2 - 14*q - 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4 + 71. Suppose -m + 3*x - h = 0, -2*m + 3*x - 23 = -8. Solve 2*f = 3*t, -4*f + 2*t + 10 - 2 = m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 802658945?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**2 - 41145*w - 984600 = 0. What is w?\nAnswer: -8205, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crlrllwwwrrrcllwllw. What is prob of picking 1 w and 1 r?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -6. Let f = -0.36 + v. Let n = f + 0.06. What is the closest to 0.2 in 2, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**2 + 6*t**2 - 3*t**2 + (2*t - 4*t + 3*t)*(0*t + t - 3*t) + t**2 - 3*t**2 + t**2 + 5 - 5 + t**2 as o + i*t + f*t**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p**2 - 14*p - 13. What is the remainder when t(-6) is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 7:19 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/3 - 2398*x**4\/3 + 1151776*x**3\/3 + 114531296*x**2 + 6452855808*x - 42922156032 = 0. What is x?\nAnswer: -112, 6, 1308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**2 - u**2 + 3*u**2 - 2*u**2 + 3*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**3 - 2*b**4 + 4*b**3 + (-5*b - 2*b - 9*b**3 + 9*b)*(-4 - 2*b + 4).\nAnswer: 16*b**4 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -240 + 245. Suppose -14 - 18 = -5*g - 4*x, -15 = -i*x. Let b(q) = -7*q**2 - 5. Let t(m) = -3*m**2 - 2. Calculate g*b(s) - 10*t(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -241 - -272. Let b(l) = 6*l**2 + 1. Calculate the remainder when b(5) is divided by p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -272 + 35. Let g = -247 - j. Which is bigger: 0.8 or g?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 6. Suppose 4*s - 7 = 3*s + 3*z, -s = 4*z. Let c be t(s). Solve 3*d - 2*a + 5 = 0, -d = -c*a - 2 + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1*132\/(-209)*2\/(-8) and 101\/2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12168 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70162 + 889704 = 5*u + 3*s, 4*s - 959873 = -5*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)*u**4)**(-3\/7) assuming u is positive.\nAnswer: u**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111847, 111890, 111971, 112096, 112271, 112502, 112795, 113156?\nAnswer: 113591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/5180 and -55\/1332?\nAnswer: 46620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -11. Let k = 13 + t. What is the highest common divisor of k and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 9 + 4*x - 3)*(2*x**2 + x**3 + x - 2*x**2).\nAnswer: 4*x**4 + x**3 + 4*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 12:27 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 150*d - 5250. Let r be v(35). Solve r = -5*j + 4*m + 23, -17*j + 12 = -15*j - 3*m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**5 - 1008*x**4 - 9888*x**3 - 35376*x**2 - 54864*x - 31296 = 0. Calculate x.\nAnswer: -326, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -8. Let u(p) = -1 + 1 + 3*p**2 - 5*p - 4 - 2 + 7*p**3. Let l(g) = 4*g**3 + 2*g**2 - 3*g - 3. Let j(a) = w*l(a) + 3*u(a). Determine j(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from {a: 2, u: 11}.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -106*c - 77. Calculate k(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -913 + 2044. Let a = 1970 - r. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32594.66366 to the nearest one thousand.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let k = 71529 + -71533. Sort n, 4, 5, k in ascending order.\nAnswer: k, n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 4795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1043 by -149.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17, 93, 213, 371, 561?\n\"Answer: -s**3 + 28*s**2 - s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -0.4, 4, 0.05 in descending order.\nAnswer: 4, 0.05, -0.4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 36. Let j(o) = -65*o - q*o - 2 - 17*o + 18*o. Is j(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-4))\/((-2)\/8). Suppose -n = -y + 4. Solve r - 5 = -2*f, y*r - 3*r + 2*f = 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.555 and -220.8.\nAnswer: -2109.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 + (-16)\/(128\/(-15672))?\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, f: 1, w: 1, o: 5, i: 1, s: 1}. Give prob of sequence sfcf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/69, 2\/9, -44, 0, 2\/55?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(33)\/(sqrt(12)\/sqrt(4)))**2 + (sqrt(176) - (sqrt(176) + 2))**2*3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2. Let t(d) = 649744*d + 5. Give t(b(w)).\nAnswer: -649744*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8070 or 8043?\nAnswer: 8070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16360 and 327200?\nAnswer: 327200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -363585*d**4 - 3*d**3 - 4*d**2 + 8*d + 93578?\nAnswer: -4363020*d**2 - 18*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 1418 = -1574 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1498*w - 1501*w + 243 = 0. What is the greatest common divisor of w and 477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78 * 59146.\nAnswer: 4613388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(190)\/(sqrt(50)\/sqrt(5)))**2 - ((5 + sqrt(171))**2 + 3).\nAnswer: -179 - 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -250330 (base 8) in base 14?\nAnswer: -235d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**3 - n**2. Let r be j(-1). Suppose 0 = -2*a - 3 + 33. Let v = a - r. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6668 + -6676.9775. Let q = 0.0225 - s. Which is the nearest to q? (a) -1\/8 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 38 + 26 = 0. Suppose 5*i - 4 = -z, i + 14 - 40 = -2*z. Calculate the least common multiple of z and m.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1750799531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-14))\/(4\/(-12)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*b = -2*b - 104500020, -4*x - 83600025 = 5*b. Round x to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 + -81.043. What is c rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 2*d + 1. Let h(s) = 105*s**2 + 4*s + 2. Give h(j) - 3*n(j).\nAnswer: 108*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b - 4. What is the least common multiple of 24 and 5 - -28 - (b + 2 - 0)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 13*m**2 + 0 + 10*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a decade in years?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*y**2 - 31*y**2 + 10*y**2 - 7*y**2 - 2*y**3 to a*y**2 + g*y + s*y**3 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10866 + 10868. Solve 41*s + d*s = -215 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13608408 and 162780.\nAnswer: 68042040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 1\/2*w**4 - 12 + 0*w**3 - 18*w + 0*w**2. Differentiate v(d) with respect to d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151193, 151168, 151109, 150998, 150817, 150548?\nAnswer: 150173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 52\/(-39) - ((-125)\/15 + 1). What is the greatest common divisor of 42 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.205342cm to nanometers.\nAnswer: 12053420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(425)*-2.\nAnswer: -50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12 - -11)*1\/1. Let p = o + 37. Is 20 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - d + 573, 2*d + 79 = -5*h + 1511. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1401?\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + s - 6188, -5*c - 2*s = 16270 - 809. Let g = c - -4940. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006807 to 4 decimal places.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 - 25. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/19 - 326*h\/19 + 328\/19.\nAnswer: -2*(h - 1)*(h + 164)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -70499*y**3\/3 - y**2 + y + 2. Let w be s(-2). Let r be w\/6 + 6\/(-4). Round r to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t = -106. Suppose 0*i - 5*i + 525 = -4*f, -3*i + 308 = -f. Let j = t + i. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117*m**2 - 586 + 288 + 297)*(-3 - m + 3).\nAnswer: -117*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**3*z**2 - 19*m**3*z + 3692*m**2 + 1295*m*z**2 - 4*m*z - 3*z wrt m.\nAnswer: -18*m*z**2 - 114*m*z + 7384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 866628396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + -1.7. Let z = v + 1.3. Sort -0.2, z, 2\/5.\nAnswer: -0.2, z, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28467, -28623, -28779, -28935?\n\"Answer: -156*u - 28311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -151 - -147. Let v = -0.05 + 0.012. Let u = v - -1.738. Put u, o, -3\/4, -3 in ascending order.\nAnswer: o, -3, -3\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3826932.\nAnswer: 2, 3, 318911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 5*w - 35, -4*x + 2*w = -2*w. Suppose x*o + 5 = 15. Let p(y) = -y**2 - o*y**2 + y**2. Let l(b) = 2*b. What is p(l(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6)\/m)\/(m**(2\/3)\/m*m)*(m**1)**(3\/5))\/(m*m\/(m*m**1)*m*m**(-4))**39 assuming m is positive.\nAnswer: m**(1649\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 53091 and 53088 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 80 = c - 0*c, -5*k + 2*c = -126. Find the common denominator of k and (2574\/42)\/(-13) + (0 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 132 - 114. Solve 5*f = -f + k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136749?\nAnswer: 3, 79, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1391 is divided by 33\/(-216) - (-15)\/40 - 7898\/(-18).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/3*t**3 + 1\/6*t**2 + 0*t + 1\/6*t**4.\nAnswer: t**2*(t + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**2\/2 + 3365310*f = 0.\nAnswer: 0, 1346124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1443*k + 356357. Give l(247).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9*m**2 + 86*m - 31. Let g be w(-10). Suppose 4*o - 38 = 14. Solve -3*v + o = -2*k - 3*k, -k - g = v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 50, 3\/4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 + 26*g + 18. Let z(a) = -38*a**2 - 323*a - 215. Let v(w) = 25*b(w) + 2*z(w). Give v(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 - 10*d - 112.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 166818121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431896 is divided by 431882?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**3 - 9*s**2 - 2*s - 12. Let j be p(-6). Let l = 526 - j. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37628.6, -1\/3, -0.2 in increasing order.\nAnswer: -1\/3, -0.2, 37628.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-135)\/60)\/(((-238)\/280)\/17)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**2 - 7*j - 19. Let s(b) = 4*b + 22. Let h be s(-5). Let m(q) = -h + 4 - 1 - 2. Determine -c(t) + 6*m(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 189 (b) 3244 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-9.705.\nAnswer: -29.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4963\/1905 + -2\/381. Put 0.7, f, -0.3 in descending order.\nAnswer: f, 0.7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -1. Suppose 0 = o - x*o + 27. Let h(b) = b**3 - 4*b**2 + b - 1. Let y be h(4). What is the highest common divisor of o and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 n when three letters picked without replacement from nnuuu?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(684)*1 - sqrt(684)) + sqrt(38)\/sqrt(2)*5*2.\nAnswer: 3 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -415140, -415557, -416684, -418875, -422484, -427865, -435372?\nAnswer: -445359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 0.4 (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 154 - 148.1. Let d = 6.4 - t. What is the third biggest value in d, -2, -0.12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3 - 9320*m**2 + 2105346*m - 2096028 = 0. What is m?\nAnswer: 1, 237, 4422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -53.5. Which is the closest to -1? (a) 0.4 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(25\/30)*17\/(-1479)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504500.\nAnswer: 2, 5, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -167f22 (base 16) in base 9?\nAnswer: -2686363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**4 + 5*l**4 - 2*l**5 + (-l**3 + 0*l + 0*l)*(-2*l**2 + 4*l**2 - 3*l**2) + (l**2 - l**2 + 4*l**3)*(2*l - 3*l**2 - 2*l))*(2 - 4 + 12).\nAnswer: -130*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 157*k**2 + 4*k + 4. Let a(c) = -39*c**2 - c - 1. Let v(f) = 4*a(f) + l(f). Let m(z) = -5*z**2 + z. What is v(m(r))?\nAnswer: 25*r**4 - 10*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.06073 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -31498*z - 4. Let n be d(2). What is n rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4719456l in millilitres?\nAnswer: 471.9456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1871 and 133546367.\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/22 and -89\/108.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2596 and 440.\nAnswer: 25960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.011 + -5.189. Let g = i + 91.2. Let u = g + -86.82. Round u to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -622*q. Let d(f) = 7*f. Calculate p(d(y)).\nAnswer: -4354*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f. Let l(t) = -767 + 767 + 10*t**2. What is o(l(a))?\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by 3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22438234 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d = -j - 63, -d = 5*j - 21. Suppose 4*m = -4*s - 36, m - 28 + 9 = s. Let i = 17 + s. Calculate the greatest common factor of d and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 21. Let t = 21 - s. What is the greatest common divisor of t and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -118 + 149 + 99 - 70.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 70*a - 12 - 1 - 76*a to y*a + u and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*6\/45)\/((12555\/(-162))\/(-31)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/(-4)*(-4 + 12\/6). Find the common denominator of -47\/6 and (t\/(-46))\/(5\/(-10)).\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*v + 11*v. Suppose 21*y - 14*y = v. Solve y = -4*f + 3 + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + sqrt(112)*-2 + 5 + 4)**2 + (-2 + (sqrt(700)*-2)**2 - (0 + sqrt(700)*2 + sqrt(700))).\nAnswer: -102*sqrt(7) + 2991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 361.\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-106)\/795 - 1311\/(-45). Solve w = -49*f - 20 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-1001)*-13 - 6\/33?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*y - 2, 0*y + 18 = 3*w - 3*y. Suppose 0 = w*o - 6*o. Let a(g) = g**3 - g + 6. Calculate the lowest common multiple of 6 and a(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/3147610 and -7\/440.\nAnswer: 138494840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b34 + 215b?\nAnswer: -9c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12702 + 714 = 78*f. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 15. Let r be t(-8). Let d be -3*(-1)\/3 - r. Solve 0 = 3*a + 4*b - 4, -2*a - d*b = -3*b - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 7*a + 8. Let u be p(6). Suppose 0 = u*d - d + 4. Let x(g) = g - 4. Calculate x(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 132*a**2 + 828*a + 700.\nAnswer: 4*(a + 1)*(a + 7)*(a + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88*q**5\/3 - 83*q**4\/3 + 5*q**3\/3.\nAnswer: -q**3*(q + 1)*(88*q - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 8*v**3 + 1 - v**4 - 11*v**3 in the form f + m*v**4 + u*v + a*v**2 + n*v**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -3310?\nAnswer: -3315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -23142?\nAnswer: 23144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/6 - 13*q\/6 - 6 = 0. What is q?\nAnswer: -9, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**4\/24 - l**3\/6 + 2*l**2. Differentiate q(d) with respect to d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 110*t**2 - 26*t - 233. What is the hundreds digit of v(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 158905 and 1404095.\nAnswer: 2605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/2 - 34689762*d + 601689793808322 = 0.\nAnswer: 34689762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2912 + 111 - (-2 - 1).\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iriijsrriibriji. Give prob of picking 1 s and 1 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1 + 11 = 0. Suppose 3*u - 2*p - 153 = 0, -268 = -5*u - x*p + 3*p. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -26. Let j be (-90)\/3*k\/9. Let h be 10\/j - (-5)\/2. Solve 0 = -t + h - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.017 + 0.02. Let s = 0.00300015 - m. Round s to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -39*b + 189. Let n be c(5). Let v(g) = -62*g + 96. What is the hundreds digit of v(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.17, -14, 33, -1, -0.5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 3*x = 10, -40 = -4*k - 11*x + 3*x + 12*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 3*m**2 - 3. Let u(w) = -w**2 - 1. Let s = 327 + -315. Give s*u(d) - 4*o(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 18*a - 68. Let r be k(-21). Let x = 5 - 1. Suppose x*p = p + 15. Put 1, 7, r, p in ascending order.\nAnswer: r, 1, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**4\/8 + 20*q**2. Let d(v) be the second derivative of 0*v**3 + 0 - 1\/6*v**4 - 2*v + 0*v**2. Calculate d(h(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ooeeoooeosjoosoj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/26 - -7\/13. Which is the nearest to d? (a) -2 (b) -4 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 + 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 6*s**3 - 2*s**3 - 16 - 2*s**3 + 17. Suppose 0 = 3*x - 0 + 6. What is r(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 1 - (-1 + (-7 - -10))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9\/g**(3\/4))\/(g\/(g*g**1)*g*g**10*g) assuming g is positive.\nAnswer: g**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1333830, -1333836, -1333846, -1333860?\n\"Answer: -2*z**2 - 1333828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 175116636061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a. Let u be b(-3). Let f be u\/18 - 30\/(-9). Let s be 495\/44 + f\/4. Calculate the highest common factor of 36 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-2 + (-2)\/((-16)\/26) - (12606 + -12616))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1548 + -2cb8?\nAnswer: -1770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 3\/5 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((1 + 2*sqrt(1539) + sqrt(1539) - 1*sqrt(1539)*-2) + -1 + -3))**2.\nAnswer: -6750*sqrt(19) + 962100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4842774.907 + -4842741.807000451. Let u = 3.16 - -29.94. Let i = d - u. Round i to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4531 + 4583. Are -25 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -373 + 594. Let m = c - 218. Suppose 3*x = -2*x. Solve k + m*k = x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 362, 444, 526, 608, 690, 772?\n\"Answer: 82*y + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -40, -114, -246, -454, -756, -1170, -1714?\nAnswer: -2406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21963429317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -8\/27*w**3 + 0 - 49\/45*w**5 - 4*w**2 - 7\/9*w**4 + 0*w - 343\/540*w**6. Find x such that g(x) = 0.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/2766 and -115\/6?\nAnswer: 2766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110264, 216294, 322324, 428354?\nAnswer: 534384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3522 + -359. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.635 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -178, -242, -332?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 10513377*x - 10513376.\nAnswer: -(x - 10513376)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-24))\/2*(-27)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/5 + (-1071)\/(-255). Let b(o) = o**2 - 2*o - 5. Let t be b(6). Suppose t = -4*r + 7. Put r, w, 3 in ascending order.\nAnswer: r, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 10*a**4\/7 + 186*a**3\/7 + 914*a**2\/7 + 414*a\/7 - 324\/7 = 0?\nAnswer: -9, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*(-4 + -3*sqrt(125))*6)**2*3.\nAnswer: 1944000*sqrt(5) + 18484200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 143, 338, 611, 962, 1391?\nAnswer: 1898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*52.007.\nAnswer: -572.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i**3 - 9*i**2 - 9*i - 9. Let o = -9 + 11. Let m be -4 + 0 + (o - 2). Let s(d) = d**3 + 2*d**2 + 2*d + 2. Give m*q(x) - 18*s(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**3)\/(t*t*t**(-22)))\/(t*t*t\/t**(2\/65)*t*t*(t*t**(4\/3))\/t))**(8\/7) assuming t is positive.\nAnswer: t**(18248\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1649)\/187 + 18\/(-99)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 5*d**2 - 10. Suppose -3*m = -24 + 9. Let l be f(m). Let x = 29 + l. What is the remainder when x is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*p + 12 = -4*c, 0 = c + 4*p - 4. Calculate the smallest common multiple of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) 5 (c) -25\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 442\/39*6\/4. Calculate the common denominator of (y\/(-115))\/(96\/(-560)) and 3\/8.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = 269 - 297 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.306 + -2.44. Let s = g - -4.134. Which is the second biggest value? (a) 2\/7 (b) 2\/5 (c) s (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-232)\/(-12)) + 10\/30?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 12:04 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.034 - 10.034. Let r = 8 - u. Sort 1\/2, r, 0 in descending order.\nAnswer: r, 1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v + 20. Let u(f) = f - 2. Let d(n) = -r(n) + 3*u(n). Let k be d(5). What is the greatest common factor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 25 = -65. Let l = -51 + n. What is l rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 - 125a?\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2ca5 + -2?\nAnswer: -2ca7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1 + 4 - v - 6 - 5. Let b be p(-9). Solve 18 = -3*g + 3*t, -2 = g + b*t - 2*t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r - 32*r = -324*r + 8976 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45067)\/(-16388))\/(1\/(-4)*-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfhuw. What is prob of picking 1 f, 2 w, and 1 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, 1\/7, 0.6, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 11*p = -15*p - 88, -8*l + p + 22 = 9*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -24. Is u greater than or equal to 1\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17484*v**3 - v + 3497*v**3 + 3495*v**3 + 3497*v**3 + 3495*v**3 + 3499*v**3.\nAnswer: -v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*j**2 - 5*j**2 + 18*j**2 + 5*j**2 as f*j + g*j**2 + r and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-5\/2))**(-3\/13))**(-2\/29))**(-2\/57) assuming v is positive.\nAnswer: v**(10\/7163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 2:23 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 8. Let m be j(-10). Let b = -28 - -10. Let k = m - b. Solve s + s + 2 = k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.9 - -54.1. Let h = 67.00000224 - u. What is h rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxqxxjxxxxxjxqqx. Give prob of sequence qjq.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(272)*2*1 + sqrt(272) - (3 + 2*sqrt(272))**2).\nAnswer: -1101 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 681952 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -66.4 smaller than -11073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 17428544.9 to the nearest one hundred thousand.\nAnswer: 17400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxx when three letters picked without replacement from {x: 3, l: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5324) + 1 + sqrt(5324) + 2 + sqrt(5324) - sqrt(5324) - ((1*sqrt(5324) - sqrt(5324)) + 5)) + (3*sqrt(5324) - sqrt(5324))*-1 + -3)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141369 is divided by 456?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 99985195 divided by 1\nAnswer: 99985195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 35. Sort -2, m, 3, -5.\nAnswer: -5, -2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - 33. What is i rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 + 9689050.\nAnswer: 9689069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**2 + 31*t. Determine k(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-250)\/(-375))\/(1802\/(-102))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**8\/4200 + b**7\/700 - b**6\/450 + 11*b**3\/2 - 6*b**2 + 1. Let h(j) be the first derivative of q(j). Factor h(f).\nAnswer: -2*f**2*(f - 2)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.05883 rounded to one dp?\nAnswer: -24.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*((-18)\/(-15) + (-348)\/90). Solve -i - 2 = 6*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88152068*f*s**2 - 33*f - 2208327*s wrt s.\nAnswer: 176304136*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 40 = 7*a. Let g(b) = -b - 1. Let t be g(-1). Suppose t = -3*h + h + 22. Calculate the least common multiple of a and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 999*s**2 + 21*s - 263. Is z(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.57 + -0.03. Let w = 62.4769 - 0.0769. Let b = 62 - w. Put 3, b, o in ascending order.\nAnswer: o, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250 and 271720.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, o: 15}. Give prob of sequence ooqq.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -71 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/108*(-3)\/(3\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 376 and 12479722?\nAnswer: 49918888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 9 = 18. What are the prime factors of ((-3)\/t)\/(2\/1158)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**2*u**3 - 150*i**2 - 307*i*u**3 + 2*u wrt u.\nAnswer: 6*i**2*u**2 - 921*i*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**5\/20 + t**4\/12 - t**2 + 7734*t. Suppose 0 = 5*d - 3*d. Calculate i(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -145 + 243. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.127046ml?\nAnswer: 0.002127046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -43, -48?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -23, -35.95, -3 in ascending order.\nAnswer: -35.95, -23, -3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**6\/120 + 2*i**5\/15 + 31*i**4\/24 + 11*i**3\/3 - 360*i**2. Factor j(p).\nAnswer: -(p - 11)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(270\/4))\/(12\/(-15)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*c + 31*c + 2037 - 8017 = 0 for c.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*j**4 - 216*j**3 - 327631*j wrt j?\nAnswer: -516*j**2 - 1296*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1543*b - 46. Let j be d(-3). Suppose 2275 = 2*s + 5*z, 0 = -3*s - s + z + j. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 3:52 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-2))\/((-276)\/506)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 205 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5381*j - 75179. Calculate a(14).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*-1.95.\nAnswer: -33.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1980) + (-1*sqrt(1980) - sqrt(1980)))\/(sqrt(44)\/(sqrt(4)*1)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/6)\/(2\/(-30)). Suppose 14 = -2*z + 4*p - 2, -4*z + 33 = d*p. Which is the second smallest value? (a) z (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2310638 and 12?\nAnswer: 13863828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -176*s + 100\/9*s**3 - 320\/9 - 640\/3*s**2 = 0.\nAnswer: -2\/5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*s + 6*s = -3, -5*m + 3*s + 24 = 0. Let j = -114 + 117. Calculate the greatest common divisor of m and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 6. Let z = -15 - p. Is 17*((-3 - -4) + z) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + c**2 + c + 3. Calculate r(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2052, -8220, -18502, -32898, -51408?\nAnswer: -74032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1773, -2022, -2301, -2610, -2949?\nAnswer: -3318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/(-60))\/(-1 - 1420\/(-1419)). Let l = q + -314. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-410)\/(-3895)*80\/(-20).\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11620*g + 12362*g - 8232*g to r + w*g and give w.\nAnswer: 15750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 1. Let j(y) = y**2 + 3*y + 344. Let p(o) = 3*d(o) + j(o). Is p(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 413, 423, 437, 455, 477, 503?\n\"Answer: 2*r**2 + 4*r + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650872833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2094041?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 - 31*d + 49. Let r be z(-21). Let t be (-52)\/r - (1 + (-124)\/7). Let v = t + 33. Calculate the remainder when v is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -6*m + 2*y + 4, -3*y - 6 = m. Let f(p) = 3*p**2 - 2*p + 1. Let s be f(1). Let h(o) = m*o - s*o - 6 + 4 + 1. Determine h(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/15 + (-1504)\/160 - -29779?\nAnswer: 2, 5, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41328 and 2856.\nAnswer: 702576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 7 - (3 - 4). Find the second derivative of 11*b - 2*b**5 + 5*b**5 - y*b wrt b.\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322 (base 10) in base 9?\nAnswer: -387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720080470?\nAnswer: 2, 5, 97, 742351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 92 - 4 = k, -3*k + 152 = 5*q. Solve 0 = -q*x + 29*x - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15797, -15449, -15113, -14795, -14501, -14237, -14009?\nAnswer: -13823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/39 in 0.2, -1\/4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - -96.4. Let s = g + -189. Let p = -43 - s. Which is the third biggest value? (a) 1 (b) p (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 148*m**4\/3 + 8*m**3\/3 - 31*m**2\/2 - 19*m - 1. Find the second derivative of i(d) wrt d.\nAnswer: 1184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 0*w + 0*w - 13*w**3 + 3*w.\nAnswer: -13*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*w = 7*u - 372, -3*w - 369 = -3*u. What is the remainder when u is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1291*h + 7743. Let b be f(-6). Let t = -3689 - -18378\/5. Let q = 13 + t. What is the closest to 0.1 in 3, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21543 - -21543. What is the nearest to 0 in -4, 3\/7, q, 8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2. Let q(w) = -27*w**2. Let n(l) = 1081*l**2. Let k(m) = 4*n(m) + 161*q(m). Determine s(k(p)).\nAnswer: 529*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 376 and 329?\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.2 (b) 1 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r + 5*d + 51 = 0, 5*d = -3*r + 51. Suppose 4*o - r = -5. Let p(w) = -w**2 - w + 2. Let q be p(0). Solve -4*a + 2*f = -q*f, -3 = 4*a - o*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 3 - -7*(2 + -3). What is the remainder when (o\/18)\/(1\/(-426)) is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121 + 207. Suppose 34 = -13*w + u. Solve -2*b - 5 = -3*b, -w*b + 5 = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/64 and 113\/72?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42218231 a multiple of 2725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 7468286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g - 20. Calculate n(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15963 - 9422. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5 + 12*f + 4 - 5*f - 7. Calculate the remainder when (48\/(-20))\/6 + (-741)\/(-15) is divided by n(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**11*n*n\/n**5)\/(n**(-1\/4))**(-14) assuming n is positive.\nAnswer: n**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.37 or 115?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28004, 56245, 84486?\n\"Answer: 28241*v - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 3:51 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*c**2 + 123 - 123)*(2 + 0 - 3) + 3*c**2 - 5*c**2 + 3*c**2 to the form o*c + f*c**2 + k and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**2 + 8*n + 1. Let h be a(4). Let m = 29 + h. Let y(c) = -20*c + 2. What is the tens digit of y(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 176.8513l?\nAnswer: 176851.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16347150.4 - 2?\nAnswer: -16347152.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 0.06234192?\nAnswer: 14.93765808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z + 0 + 62*z - 61*z + 0.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**3 + 5*x**2 - 30*x = 0. What is x?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1203598?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/21 - (-6 + 1240\/210).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -199 + 202. Suppose t*r - a = a + 18, 2*a - 38 = -4*r. Solve 3*x = -2*s - 2*x - 20, 3*s - 2*x = r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 6*j**2 - 224*j + 1676. Calculate t(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-5*5 - (0 + sqrt(180) + sqrt(180) + 3))**2 + 4.\nAnswer: 972*sqrt(5) + 131233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 238 - 242. Which is the third smallest value? (a) 0.1 (b) o (c) 32 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -29, 2, 5, -5, 11 in descending order.\nAnswer: 11, 5, 2, 1, -1, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371, -605, -799, -953, -1067, -1141?\nAnswer: -1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -292?\nAnswer: 2a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 1\/3*o**3 + 0*o + o**2 - 75. Let p(w) = -w**2 + 14*w - 18. Let q be p(13). Give f(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 924676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -x - 51497, -2*g + 11*x = 7*x - 51482. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4696, 4709, 4722, 4735, 4748, 4761?\n\"Answer: 13*i + 4683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98921*p**3 + 2*p**2 + 825776*p wrt p.\nAnswer: -593526*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a century in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/2, -1, -0.4, -1035, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 144083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -152, -3, -95, 0 in descending order.\nAnswer: 0, -3, -9, -95, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14070551.\nAnswer: 11, 1279141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*m + 70, m + 28 = -2*c + 3*m. Let s(a) = 15*a + 11. Let v be s(c). Let n = v + 390. List the prime factors of n.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1695 is divided by 114?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5420 = -4*j, -929*j + 3*h = -928*j - 1334. What is the remainder when j is divided by 52?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 - 6*s**2 + 45 + 3*s in the form k*s + z + p*s**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 943, 963, 985, 1009, 1035?\n\"Answer: y**2 + 17*y + 925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2990230.\nAnswer: 2, 5, 23, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(5 + (sqrt(48) - sqrt(432)\/sqrt(9)) + sqrt(48) + -4*(sqrt(48) + sqrt(48) + 2)))**2.\nAnswer: 4200*sqrt(3) + 59022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3) + -2 + 14 - ((373 - 720) + 282)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 2*j + j + 151, -2*j + 92 = 3*m. Let y = m + -32. Solve 4*q + 12 + 8 = y*i, 0 = -2*q - 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -1 - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**2 + 1. Let w be r(1). Let n = 14 - w. Suppose 0 = 5*a - 5*c, 4*c - n = -3*a - a. Is a > -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 96*p - 1. Let k be z(2). Suppose k = 2*t - t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 - (3 + (-2 - (-2 + -3))))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/33035 bigger than -342.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p + 14. What is the tens digit of u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 29*a = 408 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85 + 90. Suppose w*o - 76 = 14. Calculate the least common multiple of o and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - 3*q + 1. Let f(c) = -c**2 - 14*c - 41. Let v be f(-10). Let b(r) = r + 1. Calculate v*k(a) - 3*b(a).\nAnswer: -2*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in micrograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.6183*-4.4\nAnswer: -2.72052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 45 + (-4 + 2 - 22)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j + 36. Let y(d) = -d + 9. Let m(s) = -2*f(s) + 9*y(s). Give m(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2*(-1*-2*sqrt(468) + -2 + (-2*sqrt(468) + sqrt(468) - sqrt(468))))*4)**2*-5.\nAnswer: -3920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21867380 a multiple of 566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 6 - 6)*(-3 - 12 - 4*i + 14 - 131*i**3).\nAnswer: 131*i**5 + 4*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -2)\/(-1 - 0). Let j be (r + -1)\/(-1) + 16. What is the tens digit of ((-6)\/j)\/((-1)\/25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1505658263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 56515, 22, 4 in increasing order.\nAnswer: 4, 22, 56515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10345*i**2 + 40*i - 68074386 wrt i?\nAnswer: -20690*i + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -57 - -68?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/28 - 163\/(-7). What is the common denominator of -89\/22 and (q\/(-12))\/(1\/2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1591 divided by -44?\nAnswer: 1591\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13700767, 13700763, 13700759, 13700755, 13700751, 13700747?\n\"Answer: -4*u + 13700771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 956625073 a multiple of 5218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -153?\nAnswer: -14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1287 * -1\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**5\/60 - k**4\/24 + 7*k**3 - 17*k**2. Let c be f(17). Let a = c - 114. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-8) + ((-4724)\/2338)\/(-2). Let p = -7897\/4676 + d. Calculate the common denominator of 67\/18 and p.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2822034 divided by 2482?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 230146823563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**2 + 10*v + 4. Let r(t) = -5*t**2 - 11*t - 5. What is -3*l(m) - 2*r(m)?\nAnswer: -2*m**2 - 8*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1647, -1597, -1505, -1365, -1171, -917, -597, -205?\n\"Answer: u**3 + 15*u**2 - 2*u - 1661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t**3 - 12*t**2 + 13*t + 5. Suppose 201*p - 212*p + 66 = 0. Is i(p) a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (2 - -21 - (-4 - -1)) + 5?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (187814*k - 357617*k + 177144*k)*(-k + 0*k - k) to the form n + l*k**2 + m*k and give l.\nAnswer: -14682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*f = -17616, 12*f - 12 = 18*f. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93254?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from hohhhhhhohh?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3982643?\nAnswer: 7, 37, 15377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3125 + -3058. Suppose -4*h - 96 = -h. Let c = h + q. Solve -5*k + 3 = 4*w - 28, -5*k = 5*w - c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45813244726 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 116080461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*-1*84\/56\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g\/g**(-1\/5))))\/g)**(2\/49))**(-7\/4)*(g**(-2\/15)\/(g\/g**(1\/13)))\/(g**(2\/3))**(-2\/7) assuming g is positive.\nAnswer: g**(-801\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l - 2*l)*(-4 + 4 - 6*l) + 12 - 12 - 5*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**4\/4 + 1119*v**3\/4 + 4437*v**2\/4 + 3321*v\/4 = 0.\nAnswer: -369, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**3 + 6948*q**2 - 3027564*q + 9020268 = 0. What is q?\nAnswer: 3, 867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000123156944 rounded to seven dps?\nAnswer: 0.0001232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p. Let q(i) = -6821*i**2. Calculate b(q(d)).\nAnswer: -20463*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003676 rounded to five dps?\nAnswer: -0.00368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3091.\nAnswer: 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 0*d + 0 + 3*d**2 - 7\/390*d**5 + 2\/39*d**3 - 5\/156*d**4. Factor r(m).\nAnswer: -2*(m + 1)*(7*m - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079074760.\nAnswer: 2, 5, 26976869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 34564*t**2 + 345808*t - 553344.\nAnswer: -2*(t - 8)*(t - 2)*(t + 17292)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -49*g - 360 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1609443*j - 8047217. Give w(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1.1. Let k be 14 + 242\/66 - 18. Which is the closest to k? (a) f (b) 0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 1\/4, 2, -2\/7, -5\/3, 7\/2, -6.85?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 8, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/17, 3\/73, 1.4, 5, 81?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-4*2*sqrt(88))\/(1*sqrt(176)*5) + 3)*-5 + 4).\nAnswer: -12*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10918, 18881, 26838, 34789?\n\"Answer: -3*a**2 + 7972*a + 2949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1963 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.32 smaller than 372945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 742\/15 + -1499\/30. Which is the nearest to s? (a) 0.5 (b) -1\/9 (c) 196 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40382152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89 + 169. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33.99 - 34. Let l = m - 3.99. Let f = -13 - -8. Sort -0.1, l, f.\nAnswer: f, l, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/33 and 8\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 69608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 9 - (-1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.3 + 10.3. Which is the smallest value? (a) k (b) 2\/7 (c) 0.1 (d) -81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 9:13 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/113 (b) 79 (c) -60 (d) 2\/7 (e) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1277 = 2*i - 5977, 4*i - 2*z - 9390 = 0. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(95) - 5*sqrt(95)*2 - 6*sqrt(95)*2)\/(sqrt(80) + (sqrt(80) - 2*sqrt(80)*-1) + sqrt(80)) + -5)*-4.\nAnswer: 12 + 21*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 48106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-57) - (-159680)\/760. What is the highest common divisor of 90 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 + 60. Sort k, -1, 0 in decreasing order.\nAnswer: 0, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032520 to the power of 1\/2, to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 2*p + 6*p)*(0 + 1 + 1)*(-18*p**2 + 5*p**2 - 8*p**2).\nAnswer: -42*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 31*m**2 - 2*m + 6. What are the prime factors of p(-3)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*y**2 - 79*y**2 + 239*y**2 - 77*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2765, -2766, -2767?\nAnswer: -2768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -159 + 156. Which is the closest to 2? (a) -1\/6 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**4 + 355*g**3 + 67165*g**2 - 135375*g + 67860 = 0.\nAnswer: -87, 1, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 898 + -493. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55199 times 0.3\nAnswer: -16559.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*h*o*x + 28*h*x + 26*o*x - 5*x - 1 wrt o?\nAnswer: -19*h*x + 26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/(-2))\/((-12)\/153744).\nAnswer: 2, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2 - 7*r - 140. What is the units digit of a(-55)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.29 * -17208.1.\nAnswer: -56614.649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 677512 divided by 4\nAnswer: 169378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 5:52 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10674*w**3 + 59*w + 21?\nAnswer: -64044*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 - q + 2*q - 7*q**3 - 1 - q**4 as p*q + y + r*q**2 + c*q**3 + d*q**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 7) to base 16\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 9:36 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128 - 83. Suppose -130 + 0 - 30 = -16*d. What is the remainder when b is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0545985048 to five decimal places.\nAnswer: -0.0546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2082463, -2082502, -2082541, -2082580?\nAnswer: -2082619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - o + 1)*(0 - 1 + 2)*(3 - 3 - 8*o) + (2 - 2 - 1)*(-o**2 + o**2 + 2*o**2) - 2*o + o**2 + 2*o.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 744*u. Let a(w) = w - 110831 + 110831. Give d(a(i)).\nAnswer: 744*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 11784 = -26*i - 117737. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/450 and -17\/5812425.\nAnswer: 11624850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15 - (-2 + 4\/1). Let b be (2\/(-5))\/(s\/(-130)). Suppose b*w + 4*j = -j - 6, -2*j - 4 = 0. What is the closest to -0.1 in w, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - y**2 + 2*y - 1590000. Let w be v(0). Round w to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -37) + 4 + (-22 - 18 - -30)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46 - -22 - -25) + -18.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 513.3 rounded to the nearest ten?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -3\/10 (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 6) in base 2?\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 4, -1\/21, 3.5, 1\/6, -4.64, 3?\nAnswer: -4.64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, v: 11}. Give prob of picking 2 v and 2 n.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/187 in 4, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7669?\nAnswer: 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 294 divided by 21\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 9:36 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -178543 or -415?\nAnswer: -415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.031 and 8.\nAnswer: -0.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 9:17 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**4 + 837370*o**3 + 1674775*o**2 - 2512140*o = 0. Calculate o.\nAnswer: -3, 0, 1, 167476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + sqrt(320)*2 - 4*(1 + sqrt(320))**2*5.\nAnswer: -6427 - 304*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**3\/3 - 128*k + 592. Let h(g) = -2*g**2. Determine v(h(t)).\nAnswer: 4*t**4 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2306552 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60416810 - -25842810. What is g rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*i - 2 = -l - 77*i, -3*i + 8 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-six fifths of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 338390\/5480*20\/65?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10, u: 3, t: 1, c: 1}. What is prob of sequence cs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-2) + 42\/(-14). Let k(r) = 0 - 3*r + 1 + 1 + 6*r**2. List the prime factors of k(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 13*j + 4. Let b(d) = 140*d + 45. Let l(a) = 4*b(a) - 45*m(a). Let y(f) = -f**2. What is l(y(k))?\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + 4*n**2 - 53292*n + 48729*n**3 + 53292*n.\nAnswer: 48729*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29517, -59146, -88775?\nAnswer: -118404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60353, 120709, 181065?\nAnswer: 241421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2577*j**3 - 19*j**2 - 12*j - 80. Let b(d) = 1933*d**3 - 15*d**2 - 9*d - 62. Let q(w) = 9*b(w) - 7*t(w). Find the third derivative of q(l) wrt l.\nAnswer: -3852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:19 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.06, -19.1, -4184 in decreasing order.\nAnswer: 0.06, -3, -19.1, -4184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1733 (base 14) in base 2?\nAnswer: 1000001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -0.223\nAnswer: 0.01561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8643, -17297, -25951, -34605, -43259, -51913?\nAnswer: -60567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2207 is divided by (-23)\/((-2)\/(18\/81) - -8).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 34*y**2 + 297*y + 302. What is the thousands digit of m(-51)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -8*o - 5*b, 11 + 46 = 3*o + 2*b. Calculate the remainder when 6875 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -598 plus -4?\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*(-3 + (sqrt(343) - (3 + sqrt(343) + 5)) + -2))**2 + 2).\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -1.446, -4235, 0?\nAnswer: -1.446","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.5 - 7.6. Let v = 4.9 - o. Let f be 4\/(-14) + (-552)\/28. Put f, 0, v, -4\/7 in descending order.\nAnswer: v, 0, -4\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*w = 10, 11 = -y + 5*w - 9. Suppose v + 19 = 5*x, 3*x - v = 6*x - y. What is the second smallest value in -0.07, 5, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -43\/111 (b) -8 (c) -3 (d) -13\/2 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 + -70.9. Let a = p + 7.9. What is the third biggest value in -5, -2, a, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 0.1 (b) -1 (c) -23442\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3 = 3*n - 7, 3*n - 11 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 648*q - 1 + 0 - 569*q + (-1 - 1 + 1)*(-q - 2*q + q).\nAnswer: 81*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/116 and 46\/9.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u - 7. Suppose -9 = -4*n - 1. Let p be i(n). Let o(a) = -a**2 + 4*a + 7. Give o(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 2*j - 4*j + (27 + 22 + 29)*(-9*j + 2*j - 3*j) + 2 - 2*j - 1 + 0 to the form g*j + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 24. Let h = c - -1. Solve h = -5*b - i, 3*b = -i - 14 - 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 + 43 - 36) + -37.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghkgwwwbwwbwwn. Give prob of sequence wk.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drdc. What is prob of picking 1 d and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 9, -24, -109, -264, -507, -856, -1329?\nAnswer: -1944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -382, -1195, -2738, -5245, -8950?\nAnswer: -14087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1352867 and -1353076 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 861 from -12.\nAnswer: -873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.3489 micrometers in kilometers?\nAnswer: 0.0000003973489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2568, 5140, 7714, 10290?\n\"Answer: v**2 + 2569*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11*g - 76. Let d(w) = -4*w + 25. Suppose -181 - 27 = 798*u - 824*u. What is u*d(b) + 3*j(b)?\nAnswer: b - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 u, and 1 k when three letters picked without replacement from kjuxrdd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a**3 - 7*a + 3. Let x(q) = 13*q**3 - 15*q + 7. Let y be 8\/12*(7 - 1). Let k(s) = y*x(s) - 9*c(s). Is k(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 178 - 171. Solve 2*y = -5*c - 35, -3*c - 8 = p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 24*g + 108 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 divided by 2?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -4*p**2 - 4*p + 6*p - 24*p + p**2 - 3. What is the remainder when t(-10) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 5\/6 (c) 1 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 4*g - 9 + 1, -3*g + 3*t + 6 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11 + -4 - (0 - -1). Suppose -f + n = -8. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*s - 6*s - 255*s.\nAnswer: -387*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -129394*f**3*g*i + f**3*i - 1406369*f**2*g*i - f**2 wrt f?\nAnswer: -776364*g*i + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1680*w + 18482. Give p(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6340615392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 9:08 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3804, -1, 2, -285, 1 in ascending order.\nAnswer: -285, -1, 1, 2, 3804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 643681.7kg to milligrams.\nAnswer: 643681700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*b = -14, -6*d + 2*d + 3*b - 16 = 0. Suppose 0 = 2*v + 4*a - 32, 3*a = 6*a + 12. What is the remainder when d*3 - -2 - -71 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -2\/23 (c) -47 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 - -1) - (-50 + 24 + 35).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -5, 47?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 715663 - 715504. Suppose -4*t + 661 = 5*b, 2*t - b - 313 = -0*b. Is c greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - 3*(-2 - -1). Suppose 7 = -5*u + i, 2 + x = u + 3*i. Let b = u - -6. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5489.\nAnswer: 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1300) - (sqrt(1300) - ((sqrt(1300) + 1 - sqrt(1300)) + 4)**2)) - (5*(-3 + -2*sqrt(1300)))**2)*-5.\nAnswer: 15000*sqrt(13) + 651010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33818914 divided by 103739.\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 5*z - 2, 4*r + r + 10 = -z. Let c(p) = 5*p**3 + 15*p**2 - 6*p - 11. Let i(f) = -f**3 - 3*f**2 + f + 2. Determine r*c(m) - 11*i(m).\nAnswer: m**3 + 3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37*i**2 + 9*i**2 + 20*i**2 - 13*i**2 + 25 wrt i?\nAnswer: 106*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6 - 1\/3. Let d be (2*c - -2)*-1. Let n = d + 12. What is the remainder when 23 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0*n - n)*(2 + 1 - 2) + 2*n - 2*n + n + 0 + 3*n + 0 + 318*n + 2245 - 2245.\nAnswer: 323*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 (base 11) in base 2?\nAnswer: 110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -35247770676\nAnswer: 35247770681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = m + 4*m. Suppose x = m*x - 39. Calculate the greatest common factor of 91 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 8609288.31ms?\nAnswer: 0.014234934375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2. Let u(f) be the third derivative of -f**5\/60 - 17*f**2. Determine u(y(p)).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, 0.2, 0.3, 13, 0.1544, 0.1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 1, 3, -4, 231 in decreasing order.\nAnswer: 231, 5, 3, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 19*m**2 - 21*m - 58. Let f = 92 - 109. List the prime factors of a(f).\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3404121 at least -3404121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336\/34 - (-67)\/((-134)\/20).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.053 and 0.07?\nAnswer: 0.00371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.27, 1, -6\/7, -3047.9 in decreasing order.\nAnswer: 1, 0.27, -6\/7, -3047.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42134666 is divided by 62054.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21606129443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 534, -2\/5, 1428.\nAnswer: -2\/5, 534, 1428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 46 + 2. Let d(g) = -v - g**2 + 32*g - 28*g - 19*g. List the prime factors of d(-11).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -382*t + 21356. Determine u(56).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(32\/5)*s*s*s**(4\/11)*s*s*s*s*s**(3\/5)*s**(-33)\/s)**2 assuming s is positive.\nAnswer: s**(-410\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 32*a - 7 + 1 - 1 + 7 - 42*a. Let t(u) = 10*u**2 - 3*u - 3. Let g(j) = 39*j**2 - 13*j - 13. Let w(p) = 3*g(p) - 13*t(p). Determine w(k(s)).\nAnswer: -1300*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 7 = -l. Which is the third biggest value? (a) 5\/4 (b) 1\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 95423.6 minutes?\nAnswer: 5725416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*z = 5*a + 5, -15 = -z + 2*a. Suppose -11 = -4*t + z. Suppose -5*i + t*o + 2772 = -2781, -2*o = -2*i + 2222. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-3*z + 10*z - 5*z - 143).\nAnswer: -4*z + 286","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 14 = i, -5*d - 64 = 5*d + 3*i - 50 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c - 6840 = -17*c. What is c rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 9. Let g be s(4). Suppose -g*x - 4*l - 23 = 2, 4*l = x + 5. Let q be ((-16)\/(-6) - 2)\/2. Which is the third smallest value? (a) x (b) 4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.90858 + 2556.\nAnswer: 2556.90858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h + 7. Let n(k) = -k - 1. Let c(p) = m(p) - 3*n(p). Let o be c(9). Suppose 0 = -4*q + o + 7. Solve -q*d = d - 9, 3*d = 3*f + 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7*q + 5. Let k be r(-5). Let g = k + -23. What is the remainder when g is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1386.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(7))*3 + (sqrt(448) - (sqrt(448) - (-1 + sqrt(448))) - sqrt(448)))**2 - (-6*-2*sqrt(28))\/sqrt(4).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 428600 and 3400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 2 - (0 - 0). Let h = 0.19 + -0.28. Let o = h + 0.09. Is j at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/567 and -32\/4824351.\nAnswer: 43419159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/523 or 0?\nAnswer: -14\/523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 62 = 5*t, -20*t - 34 = -16*t + 2*o. Put -5, -20, t in decreasing order.\nAnswer: -5, t, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 6*v - 4. Let c be m(4). Suppose -5*k + 3*k + c*s + 26 = 0, 24 = 2*k - 3*s. Calculate the least common multiple of 8 and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/9 + 16*u**2\/9 + 40*u\/9 + 32\/9.\nAnswer: 2*(u + 2)**2*(u + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**5\/270 + c**4\/36 - 2*c**3\/27 + 160*c**2. Factor u(d).\nAnswer: -2*(d - 2)*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 397*p**3 - 238*p.\nAnswer: 2382*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (4 + -8 + -2). Let f be (-1)\/((-3)\/(-6)*x\/(-33)). Suppose -3*k = 3*w - f, 0*k + 4*w = -2*k + 12. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/66)\/j)\/((j*(j\/j**(3\/11))\/j)\/j))\/(j**(3\/4)\/j*j*j\/j**(7\/2)) assuming j is positive.\nAnswer: j**(133\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*v + 226*v - 26*v + 104*v - 100*v + 132*v.\nAnswer: 429*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1864, -8, -94?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 + z - 3. Let g be o(-3). Suppose -g*p = -19*p - 4. Let f = 0.03 - -2.97. Which is the second biggest value? (a) -2 (b) f (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5665 + -232. What is b rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 2*u - 2. Let y be w(-4). Let h = 3 + 0. Suppose 4*i + h*l + y = 5*i, i = -5*l + 22. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 293 + 411. Let f = 1346 - r. Suppose -f + 196 = -o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 41*f**3\/3 + f**2\/2 + 181. What is the smallest common multiple of 93 and w(1)?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-24) - 38\/8. Let x be (-4)\/h*(-280)\/(-16). Solve -5*t - x = -4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 10*n**2 - 10*n - 6. Let q be f(11). Suppose 2*t = q*t - 30. Solve 5*k = -2*o + 1 - 7, 0 = 2*o - 3*k - t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 3:59 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 2*o + 2. Let z be x(-2). Suppose 4*y = 5*q + 52 - 232, -z*q + y + 72 = 0. What is the highest common factor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 13\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 78 = -o, 3*y - 1985 = 4*o - 1936 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -20. Let c = 28 + y. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(7\/5))**(-33\/4)*l**7*l*l*l\/(l*l**(-5\/7)))**40 assuming l is positive.\nAnswer: l**(-514\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 13084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvbbvvvvbvvbvbvbbbbv. Give prob of picking 4 v.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 35 - 5. What are the prime factors of l\/((12\/16)\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 4)*(i + 0 + 0) - 1 + 1 + i)*(2*i + i + 0*i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2247 = -25*n - 1853. Let x(c) = -c**3 - 17*c**2 + 47*c + 7. Let g be x(-19). Does g = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32bb (base 16) in base 13?\nAnswer: 5bb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 4*x**2 + 11*x - 4. Calculate u(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -69*m - 11. Let v(r) = -133*r - 24. Calculate -9*j(z) + 4*v(z).\nAnswer: 89*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + (-60)\/(-16))*12. Let k = 13 + -13. Do k and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2716555?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-976)\/40)\/(2\/(-5)). Suppose -12*g + 23 = -u. Suppose 0 = g*b + b - 48. Solve -3*t = -b*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26623331?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 124500 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 6*x + 2. Let p(l) = 3*l**2 + 19*l + 5. Let y(c) = -2*p(c) + 7*u(c). What is the units digit of y(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35504719136 - 35504781691.039933. Let d = -62555.3 - r. Let w = -0.26 - d. What is w rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 6:06 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81\/13538 or 1?\nAnswer: 81\/13538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**5\/4 - b**4\/4 + 4*b**3\/3 - 11*b**2\/2 + 325*b + 9. Calculate d(3).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 480 and 12.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14096*-3.\nAnswer: -42288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -25. Let w = -10 - -7. Put w, a, 5 in increasing order.\nAnswer: w, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*y - 30 = 22 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*n + 8, 3*n = 5*m - 34 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4783844501?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.9496 to 0 decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 2648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/132 + 429\/72 + -6\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c. Let q be 7\/(2 - 15\/10). Let j be n(q). What is the highest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1815 and 935?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g + 3. Let c(a) = a**2 + 5*a + 1. Let t be c(g). Let j = t - -4. Put -4, -2, j in increasing order.\nAnswer: -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/7 - (-24)\/(-56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1101802 is divided by 1647.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-14) - 19\/7 - -7. Suppose 1 = -5*u + 4*o - 1, -u + i*o - 10 = 0. Solve -u*f = 2*h + 16, 4*f + 5*h - 7 + 42 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 9*a + 1. Let f be q(-9). Let p be (4 + f)*2\/10. What is the tens digit of ((-45)\/(-3) + 0)\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m**2 + 3*m**2 + m**3)*(m + 112 - 112) to the form h + d*m + a*m**4 + c*m**3 + j*m**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 34*f + 35. Suppose 3*p + 40 = 8*p. Is s(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 + 41. Let m = 32 + d. Factor -56*y**2 - 2 + 234*y**4 - 24*y - 270*y**4 - m*y**5 - 2 - 64*y**3.\nAnswer: -4*(y + 1)**4*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 11:00 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -1\/9, -5.05, -296, -5, -2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 at least as big as 2.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*h**3 + 2)*(5 - 3 + 4)*(3 - 7 + 1).\nAnswer: -36*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4164)\/(-3470)*(-2)\/((-8)\/14)\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**4\/12 + 2*k**3\/3 + 3*k**2 - 10*k. Let y be w(6). Let b be y\/5*(-165)\/(-22). Which is smaller: b or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3685*m**2 + 22103*m - 20. Determine p(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770 is divided by 132.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.033 + -1.033. Let y be (-6)\/9 - (-14)\/(-6). What is the second biggest value in y, 0.07, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1653, 551, -2, 2, -5 in increasing order.\nAnswer: -1653, -5, -2, 2, 551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-7))\/(20*33\/264)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2, 3*i = 6*i + 3*c. Suppose -5*y = -l + 54, l - i*y = -3*l + 198. Calculate the least common multiple of 18 and 3\/(18\/(-2)) - l\/(-3).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-1)*m)*m*m*m**(-6))\/(m\/m**(1\/3)*m**(-2\/9)))\/((m\/(m\/(m\/m**1)))**(1\/35)\/(m*m\/(m\/m**1)*m*m)**(-35)) assuming m is positive.\nAnswer: m**(-1291\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.149199 to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151869424 to the power of 1\/2, to the nearest integer?\nAnswer: 33939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475 = -8*w + 1339. Calculate the remainder when w is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**5\/24 + n**4\/12 - 61*n**3\/3 + 2. Let k(j) be the third derivative of o(j). Calculate k(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighteen fifths of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 342 + -323. Let u(a) = a**2 - 3*a**2 + a**2 + f*a**2. Let i(g) = 6*g**2. What is i(u(b))?\nAnswer: 1944*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -278510.9 to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*c - 558 - 962 = 14*c + 3850 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*u - 7. Suppose 2*z + y + 0*y = 11, -z = 2*y - u. Solve -z*f = -11 - 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121450531?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**3\/3 + 19618*z - 2. Let h(d) = -49*d**2 - 2*d. Let j(y) = -y**2 + y. Let p(l) = -2*h(l) - 2*j(l). Determine k(p(c)).\nAnswer: 200*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 7:06 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 1. Let n(h) = -6*h - 11. Let k(t) = -6*t - 12. Let c(l) = -3*k(l) + 4*n(l). Let o(d) = c(d) - 5*q(d). Give o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 656.4082 centuries?\nAnswer: 65640.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86987572531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30570, -30572, -30574, -30576, -30578?\n\"Answer: -2*s - 30568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81.47 - -0.47. Let w = 79 + n. Is w < 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - b + 26 = -2*b, -4*k - 3*b = -17. Suppose k*z + 2*x - 39 = -2, 39 = 3*z - 3*x. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1832d0 - 1?\nAnswer: -1832d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**5\/60 + 1234*r**2. Let v(h) = 1918*h. Calculate v(t(l)).\nAnswer: -1918*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n + 20 = 14*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2584244 and 10.\nAnswer: 12921220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38265, 76536, 114807, 153078, 191349, 229620?\nAnswer: 267891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*k = -456, -g - 3*k = -0*g - 114. Suppose -4*c - 2*m = -g, -3*c - 72 + 185 = -4*m. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1046776 (b) 1\/8 (c) 2\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*h**3 - 2100*h**2 - 20235*h - 3610.\nAnswer: -5*(h + 19)**2*(11*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1012*n**5 + 112*n**3 - 741510*n?\nAnswer: -20240*n**3 + 672*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 5*r + 30 - 40, 2 = r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r*r**0)\/r)**(-3\/2))**(30\/11))**(-45))**(-1\/6) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - h - 3 = -i, -18*i + 0*i - 134 = 481*h - 477*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + ((-1020)\/(-9))\/(-4). Let k = w + 143\/6. Let r = 0.1 - 0.6. What is the smallest value in -3\/2, k, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 5:12 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36701.000057848 + 36701. What is b rounded to 7 decimal places?\nAnswer: -0.0000578","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5c0 + c?\nAnswer: -5b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7546 or -7552?\nAnswer: -7546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 23672.729 to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*b + 159 - 523 = 0. Let u(x) = -67*x + 264. What is u(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 11:48 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.776 minus 1484340?\nAnswer: -1484339.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 9*v + 3. Let d be s(9). Suppose d*t + 4*r - 3 = -14, 5*r - 25 = 4*t. Suppose 0 = 4*f - 9*f + 5. Sort t, f, -2 in increasing order.\nAnswer: t, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v. Let q(x) = -x**3 + 2*x**2 + 5*x. Suppose 3*k + 9 = 0, -d + 2*k - 59 + 66 = 0. Calculate d*q(z) + 2*o(z).\nAnswer: -z**3 + 2*z**2 + 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -1\/2 (c) 2 (d) 133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.7 - -8.64. Let o = 15.64 - 15. Let p = w - o. What is the second biggest value in -5, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/58275 and 35\/3771.\nAnswer: 24417225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 44, 86, 128, 170?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -5 + 3 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l*l\/(l*l**(-1\/8)*l)*l)*l**(-2\/13)*l*l*l**(2\/7)*l*l*l**(-2\/17) assuming l is positive.\nAnswer: l**(35757\/12376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 + 2 - (-2 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -47*x**2 + 44 + 73 + 49*x**2. Is 13 a factor of k(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 106*h - 2800. Let k be o(-55). Let b(r) = -20*r**3 + 5*r**2 + 3*r + 5. Let q(m) = -m**3 + m**2 + 1. Give k*q(d) - b(d).\nAnswer: 15*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(84)*3 + sqrt(84) + -6*sqrt(84)*1)\/(5*6*sqrt(192)*3).\nAnswer: 7*sqrt(7)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20502041 - -104?\nAnswer: -20501634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from bqbybykqyqrjbbbbbbb?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459*r - 96761 = 6245*r + 61311 - 36566 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.8 - -0.2. Let q = 6 + -11. Let s = -4 + 3.6. Which is the third smallest value? (a) s (b) y (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 5. Let x(i) = 10 - 1 - 4 - 4 - 2*i. Let f(a) = -6*a - 11. Let h(u) = f(u) - 5*x(u). Determine -3*h(d) + 10*w(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 2219*y**5\/60 + 1291*y**3\/3 - 965*y**2 + 1. Differentiate j(w) with respect to w.\nAnswer: 4438*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 - 3. Let i = 2 - 11. Let k(z) = 7. Let g(y) = 3. Let c(s) = 1. Let l(j) = 3*c(j) - 2*g(j). Let d(n) = i*l(n) - 4*k(n). Give b(h) - 4*d(h).\nAnswer: 3*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/29482 and 47\/6.\nAnswer: 88446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f - 30. List the prime factors of (f\/(-4))\/((-48)\/832).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00149047 rounded to five decimal places?\nAnswer: 0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - v - 105, 9 = 2*y - 4*v - 61. 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: Let n(o) be the first derivative of -o**5\/5 + 8*o**2 + 46*o - 44. What is the first derivative of n(j) wrt j?\nAnswer: -4*j**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1331) + sqrt(1331) + 5 + (sqrt(440)\/(2*sqrt(8)) + sqrt(55))\/sqrt(5).\nAnswer: 5 + 69*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24\/5 + -53\/10. Let s be 7\/3 - (-1 + 3). Which is the closest to t? (a) -2\/5 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -654 (base 10) in base 9?\nAnswer: -806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + 49 - -24 - 75?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*r = r + 2717, 0 = -3*c + 4*r - 1611. Let m = 1083\/2 + c. Suppose 2*a - 2 - m*a**2 = 0. Calculate a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 24\/11, 2.1, 0.042, 3\/7 in ascending order.\nAnswer: -2\/11, 0.042, 3\/7, 2.1, 24\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 34*f**2. Let b(p) be the first derivative of 6*p**2 + 1000. Calculate b(v(s)).\nAnswer: 408*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6461 or -6459?\nAnswer: -6459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10012 (base 3) to base 9.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + k - 48. Suppose 0 = -4*q + 116. What is the remainder when q is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22407 is divided by 248.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1493987, -1493988, -1493989, -1493990?\nAnswer: -1493991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 5 = -3, -5*r = k + 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -8*r. Let q(f) = -41*f**3 + 2*f**2 + 5*f + 2. Let o be q(-1). Let b(c) = o*c - 81*c + 40*c. Determine b(l(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3234719284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((1 + sqrt(3328))*6 - sqrt(3328)) + -3)**2.\nAnswer: 320*sqrt(13) + 83204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -392730, -392719, -392696, -392655, -392590?\nAnswer: -392495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66535303 and 662.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l**2 + 26*l - 26*l to the form b + t*l**2 + a*l and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -z - 2*z. Let l(t) = 1 - 3 - 3*t - 7*t**2 + z*t + 1. Calculate l(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + 0.2. Let d = -19 + 22. Suppose 3*o - 2*o - d = 0. What is the nearest to 2\/5 in w, -1, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 52 = 2. Let r = y + 14. Solve 0*n - 4*n = r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/3222 and 73\/222318.\nAnswer: 222318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 590970, 590966, 590962?\n\"Answer: -4*a + 590974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*u + 3*u + 17*u)*(46*u**3 - 5*u**3 + 4*u**3) as d + a*u**4 + k*u**3 + w*u + l*u**2 and give a.\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -10, 48, 142, 284, 486, 760?\nAnswer: 1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, k: 11, m: 1}. Give prob of sequence mkpp.\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4419255 rounded to three dps?\nAnswer: 0.442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k**3 + 82*k**3 + 4*k**3.\nAnswer: 106*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**4\/12 + 7*k**3\/6 + 25*k**2 + 34*k. What is the remainder when 94 is divided by i(0)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6175\/6 - -1029. Which is the third smallest value? (a) -60 (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 136\/3. Which is the smallest value? (a) l (b) 1\/6 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (916\/687)\/((2\/(-6))\/(2\/14)). What is the smallest value in y, 0.4, 0.1, 2\/11, -6.32?\nAnswer: -6.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 + 80. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45171 divided by -7\nAnswer: 6453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -20. Suppose 28 = 4*q + 8, -5*n + 45 = q. Let z = n + y. What is the nearest to -2\/3 in z, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 24. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (-14 + 76 + -18)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1288 + -1.4?\nAnswer: -1289.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**3\/6 - s**2\/2 + 2*s. Suppose m + 16 = -k, 3*k - 3*m + 56 = 2*m. Let r(l) = -3*l - 3. What is k*w(v) + 6*r(v)?\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3019 + 1093 = -6*r. Let c = r - 318. Solve 5*p = -g + 7 + 3, c*g + 15 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31756730 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(1 - 3\/6). Let i(t) = t**3 - 10*t**2 + 26*t - 8. Let a be i(6). Suppose -a*z + 4 + w = 0. Solve 2 = z*m - 4*y - 0*y, -m = 5*y + 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 2)*(-20*t**2 - 22*t**2 + 10*t**2 - 194*t**2) in the form v + q*t**2 + l*t and give q.\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3.9. Which is the nearest to d? (a) -2 (b) -1 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.165018 centimeters in meters?\nAnswer: 0.02165018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -240 + 1435\/6. Let n = v + 1\/3. Which is the second smallest value? (a) n (b) -0.4 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 38 - 38.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 10. Let p be x(15). Solve p*w + 2*r = -9, -5*w + 4*w - 2*r - 5 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0, 0.5, -98?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/18)\/(944\/177)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2. Let h(y) = 30*y - 7. What is h(u(s))?\nAnswer: -90*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(17)*-4 - -2*sqrt(17)*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9aa8 (base 13) to base 4\nAnswer: -11101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -5. Suppose o*k + 5 = 65. Let g be 26\/8 + 15\/k. What is the highest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 11\/5, 2, 1.1 in decreasing order.\nAnswer: 11\/5, 2, 1.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6346 and 24.\nAnswer: -152304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 546*a**2 - 269*a**2 - 274*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -4, -27, 6, -5, -7?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-25)*s*s\/(s*(s*(s*(s\/(s*s*s\/(s**(7\/6)*s)))\/s)\/s*s)\/s)*s**(-21)*s\/s**(-33) assuming s is positive.\nAnswer: s**(-67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5462, -3, -50, 5.\nAnswer: -50, -3, -2, 5, 5462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 12) to base 9.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -39, -38, -37, -36, -35?\n\"Answer: n - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1681050 and 330.\nAnswer: 18491550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1248610?\nAnswer: 2, 5, 11, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 1333, 4626, 11055, 21658, 37473, 59538, 88891?\nAnswer: 126570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 5. Let s(r) = 2*r - 10. Let y be s(7). Let u be o(y). What is the greatest common factor of u and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20432.84 nanometers to centimeters.\nAnswer: 0.002043284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 102 = -4*u, 4*u = -0*u - 5*b + 94. Find the common denominator of ((-413)\/(-20))\/(-1) - 2\/(-5) and (-6 + -22)*u\/(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 6 + 30*q**3 - 11.\nAnswer: 30*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4423 + -4428. Sort 51, 0.3, w, -3, -2.\nAnswer: w, -3, -2, 0.3, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1))**(44\/7)*(o*o**6)\/o*o\/(o\/(o*o**(3\/5))*o))\/((o\/(o*o\/(o\/(o*o\/(o**(1\/3)\/o)))))**(-21)\/(o**(-2\/5))**(-16\/5)) assuming o is positive.\nAnswer: o**(-6221\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -74799 and 1?\nAnswer: -74799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqf when three letters picked without replacement from {q: 9, f: 2, g: 6, e: 1, i: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 46101 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1139*k - 9688. Determine i(9).\nAnswer: 563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12582 - 12411. What is the remainder when j is divided by 69?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 3*i - 103. Suppose 12 + i = -2*a. Suppose 8*n = -2*d + 3*n - 78, -2*d + n = 54. Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -708548 by -4.\nAnswer: 177137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrzzrzrzrr. What is prob of sequence zrr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34924 is divided by 771?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/4)*m)\/(m\/m**(2\/21))*((m\/(m\/m**(-2)))\/m)\/m*m**(4\/7)*(m**(-2\/3))**(-18)*(m*m*m**(1\/3))**(12\/7) assuming m is positive.\nAnswer: m**(161\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110851 + -0.3.\nAnswer: 110850.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -5, 150.\nAnswer: -5, -3, 1, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b + 3*b - 7*b + (2*b + 0*b + 0*b)*(5 - 3 - 3) + 0*b - 4*b - 3*b.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4*1220\/305?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14283*u**5 - 4670955*u**4 + 4791639*u**3 - 135945*u**2 + 978*u = 0.\nAnswer: 0, 1\/69, 1, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 3) to base 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 102\/865 or -0.2?\nAnswer: 102\/865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9549?\nAnswer: 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 345*q**2 + 1445*q - 1095.\nAnswer: -5*(q - 3)*(q - 1)*(q + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1077, -1222, -1383, -1560, -1753, -1962, -2187?\nAnswer: -2428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2. Let p(h) = 398860*h - 87098. Let s(w) = 2447*w - 535. Let x(b) = 5*p(b) - 814*s(b). What is x(g(c))?\nAnswer: 2442*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(145\/(-87)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, c: 5}. Give prob of picking 1 c and 1 t.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - 0.1. Let i = 36 + -57. Let w = -14 - i. Is o at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4584 or -4585?\nAnswer: -4584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147549398.\nAnswer: 2, 31, 743, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 189 = -2*y. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3\/7 - 162*s**2\/7 - 261*s + 10092\/7 = 0. Calculate s.\nAnswer: -29, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8275?\nAnswer: 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/5770 and -79\/45?\nAnswer: 51930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 - -66. Let x = 40 - 99. Let p = x - c. What is the biggest value in p, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 18*l = 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 2:00 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1157238\/5437728 - 6\/32?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.02638 nanograms?\nAnswer: 0.00000000000702638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (237\/96 - -1)\/(3\/(-2)) and 97\/56?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.5 and 0.44929948744?\nAnswer: 4.05070051256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 986525979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(200) + (sqrt(200) - (sqrt(200) - (sqrt(200) - (5 + sqrt(200) + 3 - sqrt(200)) - sqrt(200)))**2) - (4 + sqrt(200) + 3)).\nAnswer: 150*sqrt(2) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 20\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3192491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s. Let b be (-3 + s)\/((-12)\/8). Solve b*j - 2 = 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 367 + 518. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 822 and 18137841.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/((-144)\/60) - 3\/(-1). Sort -4\/3, 1\/8, -2\/7, -21, m in decreasing order.\nAnswer: m, 1\/8, -2\/7, -4\/3, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 10 = 0, -7*m + k = 44 - 68 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20362, -81507, -183424, -326113?\nAnswer: -509574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -588*h**3 + 1012383*h**2 = 0. What is h?\nAnswer: 0, 337461\/196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(-2)\/8*-2. Let a(v) = -v**3 - v**2 + v - 5. Let t be a(0). Let n be ((-60)\/9)\/t*(-3)\/(-2). Solve n*r + f = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13356618 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0445 - -0.0555. Let b = 4 - 4.2. What is the second smallest value in b, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -197999*a**4\/12 + 5*a**3 + 88*a**2. Let v be g(-15). Round v to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w + 8*w + 714 = 0. What is the least common multiple of w and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -253022 and 0.3.\nAnswer: -253021.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 984.17ug?\nAnswer: 0.00000000098417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 6 = 0, 3*q - 4*q = -3*p - 9. Suppose -q*x + 5*x - z = 48, -5*x + 102 = 2*z. What is the greatest common factor of x and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4738 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1542966*0.3\nAnswer: 462889.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of ((-2)\/3)\/((-4)\/168)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2483774616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + p. Let j(r) = 3*r**2 - 8*r + 2. Let z(d) = j(d) + 2*q(d). Let n be z(6). Suppose -n*h = -7*h - 4*y + 40, -5*y = -5*h + 40. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d - 2*d)*(87*d**3 - 202*d**3 - 155*d**3).\nAnswer: 540*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 213200.8ml in litres?\nAnswer: 213.2008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**4\/12 - b**3\/6 + 7*b**2\/2 - 25*b. Let g be v(0). Suppose -g*z = -3*z - 636. What are the prime factors of z?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, v: 6, y: 7}. Give prob of sequence yyvy.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.08 (b) 0.1 (c) 3 (d) 49 (e) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.35 - 0.85. Which is the closest to 0.1? (a) -2\/31 (b) -0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g + 193 - 18 = 0. Let n(y) = y**3 + 5*y**2 - 16*y - 9. Give n(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 1018428.\nAnswer: -1018426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 46*j**3 - 1. Calculate m(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 12:28 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 u when three letters picked without replacement from {u: 2, h: 5, p: 12}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**3\/3 - 2. Let z(s) = -908*s + 5444. Let c be z(6). Determine y(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/8 and (16 + -2)\/((-27)\/15)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1359588.24 rounded to the nearest one thousand?\nAnswer: 1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 633.\nAnswer: -6963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*v + 4*v + 4, -3*v + 2*l = -21. Suppose 125 = -v*t + 10*t. Suppose -47 = -4*z + t. Calculate the highest common divisor of z and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d = -70 - 259 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-6)*i))\/(i**(-6)\/i*i*i)*(i\/(i*i*i\/i**(-1)))\/i**(2\/5) assuming i is positive.\nAnswer: i**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 - 4*l + 2. Let s(y) = -13*y**2 - 17*y + 8. Suppose -14*c + 42 = -35*c. Calculate c*s(w) + 9*z(w).\nAnswer: -w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9813 + 5666 + 3514 - 9169 - 10268)*(m**2 + m - m).\nAnswer: -20070*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2063, -4131, -6209, -8297?\n\"Answer: -5*i**2 - 2053*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**8*f**16)**(1\/46) assuming f is positive.\nAnswer: f**(9\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*p + 2*p - 5*k, -1 = k. Which is smaller: -3\/22 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(616\/32))\/((-5)\/(-35))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**4\/4 - 4*f**3 + 6*f**2 - 16*f + 8482. Suppose -23 = 2*j - 3*n, -j - 12 = -2*n + n. Give x(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5738 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-567)\/108)\/(6\/8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1820.2899s in minutes?\nAnswer: 30.338165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40085 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2922 divided by 32471\nAnswer: 2922\/32471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*c + 24 = 0, -6*k = -9*k - 2*c + 32. Suppose 14*t = -9*t - k*t. What is the third smallest value in t, 4, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n. Suppose f + 5 = b - f, 3*b - 2*f - 11 = 0. Suppose 2*o + 8 = -3*d, b*o - 4*d = -0*d + 22. Let p(g) = 7*g**2 - 5*g**o - g**2. Determine p(a(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 15 (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + h**2 - 2. Let p be s(-2). Let u be 14\/21 + (-2)\/p. Solve -3*g - 2*w = 2*w + u, 5*g - 17 = -2*w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**3 - 3*t**2 + t + 3. Let b be n(-2). Solve 4*a + 0*a - 12 = -4*u, 4*a = 5*u + b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-33) - (-494)\/1287. What is the nearest to -1\/3 in 54, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100000110111111100 + -10011001?\nAnswer: 100100000110101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 182823501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**6\/540 - m**5\/54 - 7*m**4\/108 - m**3\/9 - 84*m**2 - 6*m. Solve h(w) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -5 - 5 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*((sqrt(5324) - (sqrt(5324) + (1 + sqrt(5324) - sqrt(5324)) + sqrt(5324) + 2)) + -5)*1)**2.\nAnswer: 396*sqrt(11) + 5405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -31. Let r(x) = -5*x - 5. Let l(h) = -4*h - 5. Calculate y*r(k) - 3*l(k).\nAnswer: 2*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mymeemm. What is prob of sequence mee?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 816379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-688)\/(-60))\/4 + -3.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.011281 rounded to 0 decimal places?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14442 and 1127868?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 243 and 80373.\nAnswer: 6510213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 7*o + 42 = 0, 18*m - 24*m - 3*o + 2 = -9*m + 8 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50122 by -4.\nAnswer: 25061\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50010 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 272 + -200. What is the remainder when g is divided by 41?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 25*p - 5*p - 20*p - 26*p - 9*p. Let k(f) = -f**2 + f + 1. Let v(g) = -g**2 + 3*g + 3. Let a(d) = -3*k(d) + v(d). Give s(a(t)).\nAnswer: -70*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-9 + 8 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4)*20\/15. Which is the nearest to 0? (a) l (b) -1\/2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) -3 (c) 5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 12:00 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 3\/8 (c) 1 (d) -4 (e) 1\/6 (f) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqjqjjqqjjqjqjqq. What is prob of sequence qjq?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 3\/((-9)\/12). Let d(v) = v**2 + 5*v - 10. Let m be d(-7). Solve 5*a = 5*k + o, 0*a + 2*k = -m*a - 20 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72.49 + 73. Let c = -0.91 + v. What is the closest to 5 in 4, c, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2826 - -5003. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10, 1, -1, -17, 38 in ascending order.\nAnswer: -17, -1, 1, 4, 10, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151217?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 1:19 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**4 + 5*q - q**2 - 8*q - 2*q - q**4 - q**4 to f*q**3 + d*q + i*q**4 + p + v*q**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w + 12. Let y(k) = 9*k - 25. Let v(z) = -13*f(z) - 6*y(z). Let m = -5 - -16. What is the remainder when v(-23) is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*p + 4*f - 3, -p - 2*f + 20 = 0. Let g = 17 - p. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/688 and (-1)\/((-12)\/423)*(-10 + 2368\/240).\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28.98 times 0.4\nAnswer: 11.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4497225 litres?\nAnswer: 449.7225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-35)\/(-10)*8\/14. Suppose -2*r + 9 = r + 5*p, 0 = 5*r + 2*p - 15. Suppose 2*k - k + 8 = -3*w, w + 16 = r*k. Solve k - c = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 790751 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -38. Let v(g) = 4*g + 12. Let h be v(i). Let z(p) = -1 - 1 - 1 - 4 + h*p. What is z(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 6266?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 36 = -3. Suppose 3*r = -2*u - 3 + 11, r = 4*u - 2. Let o(f) = 15*f - 22*f - 3*f**r + 11*f. Let z(w) = 8*w**2 - 11*w. Calculate n*o(v) + 4*z(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129901869.\nAnswer: 3, 557, 25913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.07906 - 1.08. Round b to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96714 is divided by 329?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/10*2*(1 + 8592). Let v = 13140 - g. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxf when three letters picked without replacement from xfuyffxuayfucffuu?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -52*c + 2. Let v be o(-1). Suppose 6*t = v + 30. Calculate the smallest common multiple of t and 74.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 801 - -154. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12727 and 48970207?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001050386 rounded to 5 dps?\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 315301?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/14 + (24 - (-296925)\/(-14245)).\nAnswer: 19\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from {k: 1, o: 1, t: 1, m: 1, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 34 + 29. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-17)*x)\/(x*x**(-13)))\/(x**(-20)*x*x*(x\/x**(-1\/19))\/x) assuming x is positive.\nAnswer: x**(265\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - l)*(-31 + 68 + 43)*(3*l - 4*l - l - 1) to u*l**2 + b + h*l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04981942 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-4)*(-2 + (-35)\/(-14))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444223200 rounded to the nearest one million?\nAnswer: 444000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429 = 31*h + 4*h - 2*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 70c?\nAnswer: -70a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 o when three letters picked without replacement from {z: 9, o: 3, w: 4}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -74, -5, 115, 1\/7, 0.14?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5546212?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 2. Let j be k(-3). Let c be -1 + j - (-2)\/(-7). Let s = 102 + -102. Are c and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2564, -6707, -13612, -23279, -35708, -50899?\nAnswer: -68852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2468*j**3 - 6*j**2 + 2*j + 21211 wrt j.\nAnswer: -7404*j**2 - 12*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 3. Let b be o(-4). Let y = b - -5. Suppose -w - y*j = -23 + 9, -j = -4*w + 56. What is the highest common divisor of w and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -14*d**3 + 3*d**2 - 19*d + 3. Let u(x) = -14*x**3 + 4*x**2 - 18*x + 4. Let v(l) = 4*h(l) - 3*u(l). What is the second derivative of v(o) wrt o?\nAnswer: -84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 53 + 19. Suppose -2*s = x - m, 0 = -5*x + s + 3*s + 120. Calculate the highest common factor of 120 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4261042000 rounded to the nearest one million?\nAnswer: -4261000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**3\/3 + 12601*a**2\/3 - 4200*a = 0?\nAnswer: 0, 1, 12600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzow when four letters picked without replacement from {o: 4, w: 2, z: 2, p: 3, c: 3, q: 1}.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.2 - -8. Let h = -0.3 - 8.7. Which is bigger: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + sqrt(3744)*6)\/(sqrt(8)*-4).\nAnswer: -73*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1619124 times -0.1?\nAnswer: 0.01619124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 13688054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -1044.39626\nAnswer: -208.879252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -52*m + 2070. Let l be (m\/5 + -9)\/(-3). Factor 4\/9*n + l - 2\/3*n**2 + 2\/9*n**4 + 0*n**3.\nAnswer: 2*n*(n - 1)**2*(n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35595 and 188055.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 12*j**2 + 2*j - 6. Let p(q) = 9*q**2 + q - 5. Calculate 2*m(d) - 3*p(d).\nAnswer: -2*d**3 - 3*d**2 + d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 10, 94848 in descending order.\nAnswer: 94848, 10, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15634344*j + 12957122 wrt j?\nAnswer: -15634344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 902, 3781, 8586, 15323, 23998, 34617?\nAnswer: 47186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -168, 0.07, 0.26, 1\/9, 0.3 in descending order.\nAnswer: 3, 0.3, 0.26, 1\/9, 0.07, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54751235 - -54751186.000107. Let j = 55.5 - 6.5. Let n = h + j. Round n to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 6:57 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 9. Let o be u(15). Let h(i) = i**3 + 8*i**2 + 3*i + 6. What is the remainder when o\/(-21) - 1418\/(-14) is divided by h(-7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0521261 litres in millilitres?\nAnswer: 52.1261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let z = -47 + 49. Let m(c) = -2*c**z + 2 + 4 - 5 - 18. Determine m(w(k)).\nAnswer: -2*k**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - o - 3. Is j(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 + 2*f**3 + 5*f - 11*f + 0*f**3 + 2*f**2 to u + w*f**3 + q*f + g*f**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -11. Suppose w*o = 2*o + 52. Calculate the remainder when o is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-10) - (-54)\/30. Suppose 5*x + 15 = -0*h + 5*h, -t*h - 4*x = 0. Let v(i) = -3 - 4 + 7 + i**h. Let w(a) = -2*a. Determine w(v(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 12:47 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -238 or 2\/21?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 21 + 49 = -4*d, d + 15 = j. Suppose -5*x = -j*x + 4*v + 80, 5*v - 25 = 0. What is the greatest common divisor of 230 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3 = y. Suppose -y*s - 7 = 41. Let q be 18 + (-1)\/((-4)\/s). Solve 4*w - q = -2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - 1 + 0*s - 3*s + (-2 - s + 0*s + 2*s)*(639 - 114 - 16) to j + x*s and give x.\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1978 divided by 26?\nAnswer: -989\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1868?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160963 is divided by 925?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 3b?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(3\/(-2))*24\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 10 - 88 = 0. Let z(q) = -9*q**2 - 39*q - 26. Let o(u) = -17*u**2 - 77*u - 53. Let h(c) = l*z(c) - 4*o(c). Factor h(a).\nAnswer: 5*(a + 1)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.2. Let j = -138.03 + 138.33. Which is the closest to j? (a) n (b) 1\/6 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 469 - 472. Let x(z) = -29*z - 24. What is the remainder when x(h) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/110*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*j - 56*j + 107*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4763 is divided by 1184.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2556, 5120, 7684, 10248, 12812?\nAnswer: 15376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 3)*1 + 3. Suppose -x + 2*x + 4 = i. Let o = 1 - x. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*r. Let s(z) = z + 15. Let h be s(r). Let o be 1 - (-1 - (h - 0)). Solve 0*q - 5*u - o = -2*q, 3*u + 19 = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**43*h*h**(-24))\/(h**(-2\/81)\/h**(-16)))**(1\/22) assuming h is positive.\nAnswer: h**(163\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*z - 78 - 25, 0 = -3*z + 4*p + 82. Calculate the greatest common factor of 286 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 152*i - 118*i - 34. Let q(k) = 4*k**3 + 2*k**2 + 5*k - 6. What is q(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/7)*j*(j\/(j*j**(-1\/6)*j))\/j)**(7\/2) assuming j is positive.\nAnswer: j**(-17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5434970 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -2\/15, -4.1, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) 3 (c) -0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(-2*(1 + sqrt(1700)) - sqrt(1700) - sqrt(1700))**2.\nAnswer: -108819 - 640*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62550742003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - n**4 + (34*n**2 + 12 - 12)*(-2*n**2 + 4*n**2 - 4*n**2).\nAnswer: -69*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*r = -26, -3*j - 5*r + 8 = -3*r. Suppose 5*b = j*v + 24, 4*v - 15 = -4*b + 3*v. Solve 0*h = b*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**2 - 18*a**2 + 4*a**2 + 9*a**2 to the form x*a**2 + k + m*a and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.631 less than -25.543945?\nAnswer: -29.174945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/8 and (-1)\/(14\/(-36)) - -1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*j + 80*j - 17*j**2 - 7*j**4 - 26*j - 24*j to v*j + i*j**2 + r*j**3 + q*j**4 + o and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16952096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 4*s**2 - 10*s - 7. Let k be f(4). Is k less than -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -214, -8, -9, -64 in decreasing order.\nAnswer: 0, -8, -9, -64, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 76 = 13*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 896408118 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -14, -845 in decreasing order.\nAnswer: -14, -28, -845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 4*h = 53, 3104*l + 75 = 3110*l - h for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 3. Let c be o(-4). Calculate the greatest common divisor of c and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 7:27 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2. Suppose 2*q - 3 = -3*u - q, u = -4*q - 5. Let j(c) = c - 1. Let y(r) = 8 + 7 - 2*r - 18 + 6. Let n(b) = u*j(b) + y(b). Give n(o(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 3*c + 4. Let k be o(7). Let f = k + -61. Let w(x) = x**2 - 14*x + 9. What is w(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 2367501105302?\nAnswer: -2367501105298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 24*f**2 + 4. Let a be t(24). Solve 2*s + 40 = a*u, 4*s - 16 = 45*u - 49*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 16 + 32 - 296*g)*(2 - 1 + 1) as m*g + l and give m.\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**4*k*k**(3\/8))**(12\/7)*((k**(-2\/9))**(28\/9))**(1\/16) assuming k is positive.\nAnswer: k**(7144\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81.36848 litres?\nAnswer: 81368.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.57277 milligrams to tonnes.\nAnswer: 0.00000002457277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 130*s - 125*s + 40 = 0, -2*s + 3*s + 9 = -q - 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 25522 = 25592. Put -140, 2, o in descending order.\nAnswer: 2, o, -140","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4240024013 + -110?\nAnswer: -4240024123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-161)\/(-21) - 6)*-1.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2398 bigger than 55121\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 554*r**3 + 1513*r**2*x + r*x + 1331*r + 36*x wrt r?\nAnswer: 3324*r + 3026*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**5\/60 + y**3\/6 + 10*y**2. Let z(v) be the first derivative of k(v). Let d(c) = 18*c. What is d(z(h))?\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x + 4*x - 110 = 0. Suppose -x*z = 3*s - 4372 + 152, -4*z = 4*s - 3384. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1936 by 602.\nAnswer: 968\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (1*sqrt(108)*4 - (sqrt(108) + 2*(0 + sqrt(108))) - ((sqrt(108)*-2 + sqrt(108) + -4 - sqrt(108)) + -2))**2).\nAnswer: -5020 - 1080*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.9616 + 0.0384. What is the closest to -2 in -1, -0.5, 3, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -9*z. Let w(o) = -5*o - 48. Let a be w(-10). Suppose v - 12*j - a = -8*j, 4*v - 65 = -3*j. Let b(t) = -4*t. Determine v*b(p) - 6*l(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w\/((w*w**(-7\/9)*w)\/w))\/w))\/w*w\/(w\/(w\/w**(5\/7))))\/(w*w**(4\/7)*w*w)**33)**(-6) assuming w is positive.\nAnswer: w**(14786\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8598 and -177.\nAnswer: 8421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 5:58 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 46 and -21638?\nAnswer: 21684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 11 = 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1 = 3*z + 24, s + 3 = -z. Suppose c - 3*c = 3*m - 10, -5*m = 4*c - 18. Let n(j) = 3*j + 0*j - 3 + j. Let l(a) = 8*a - 7. Give c*l(f) + z*n(f).\nAnswer: -4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 28155750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9374 + 18753\/2. Factor t*y**3 + 315\/2*y - 75\/2*y**2 - 245\/2.\nAnswer: 5*(y - 7)**2*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-39)\/(-117))\/(1\/666). Differentiate -113 + 21 + 127*d + b wrt d.\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 39. Let m be (4 + 0)*(-2)\/w. Find v, given that -1\/3 - m*v - 1\/3*v**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5086 - -5?\nAnswer: -5081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from gvvggvr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 24*i + 31. Which is the third smallest value? (a) 1\/6 (b) 1\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2 + 186*s - 7076 = 0 for s.\nAnswer: -122, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(3 + (-13)\/5). Let u = o + 1. Is 3 equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/2472808 and 41\/2976.\nAnswer: 29673696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-3 - (-27 + 12)) - (-5 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35280, 34815, 33556, 31107, 27072, 21055, 12660?\nAnswer: 1491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 869677 not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/240*6)\/(102\/18105)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281947687 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -507 + 373. Suppose 0 = -4*d + 113 - 957. Let n = l - d. List the prime factors of n.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 6*r**2 - 6*r - 2. Let o(c) = -6*c**2 + c. Let k be o(1). Let g be d(k). Suppose -2*u + 3*u = g. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -9 + 3. Let w(z) = 2*z**2 + 6*z - 4. Let t be w(r). Let h(y) = -y**3 - y**2 + y + 2. Let x be h(-2). Solve 0*v + x*v = 4*i - t, -4 = -2*i - v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0259990805 rounded to four dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4617\/(-646))\/27*12\/(-27).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.99 - 0.07.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/6 - (-25)\/(-50)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 19 = -4. Let a be z\/2*(6 + -8). Let b(s) = -s**2 - 5*s. Let h be b(-5). Solve 2*y + y - a = h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -200*x + 64. Let v be q(-4). What is v rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290\/10*33*22\/(-726)?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 215472 and 1508304.\nAnswer: 1508304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 574\/112 - 1\/8. Differentiate -z + 11 - 8 + 12 - 30*r with respect to r.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 11) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/18474 and 35\/73896.\nAnswer: 73896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1072, 2142, 3210, 4276, 5340, 6402, 7462?\n\"Answer: -d**2 + 1073*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -229319, -229342, -229381, -229430, -229483?\n\"Answer: a**3 - 14*a**2 + 12*a - 229318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.29, 1, -0.3, -3\/4?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p + 0 + 4 - 9. Let r(y) = -2*y + 3. Let u(a) = 3*d(a) + 5*r(a). Let c(s) be the third derivative of -s**4\/24 - 2*s**2. What is c(u(g))?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/2 and -35\/47582546.\nAnswer: 47582546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}